Miguel va de compras al supermercado y adquiere los siguientes productos, 8 helados de crema por un valor de cada uno de $9,56. Un paquete de papas grande por un valor de 3.70. Una gaseosa por valor de 4,525 y una chocolatina por valor de 1,267. 1. ¿Cual es el valor de los ocho helados y que operación debe realizar.? 2. ¿Cual es el valor total que debe pagar en la tienda? 3. Si Miguel tiene en su bolsillo $99,56 cuanto dinero le queda después de pagar en el supermercado?

Answers

Answer 1

Answer:

1) El valor de los ocho helados de crema es 76,48 pesos, 2) El valor total de la compra es 85,97 pesos, 3) A Miguel le queda 13,59 pesos después de pagar en el supermercado.

Step-by-step explanation:

Supóngase que los costes son en pesos mexicanos. (MXN)

1) ¿Cuál es el valor de los ocho helados y que operación debe realizar?

Se multiplicar la cantidad de helados comprados por su valor unitario, es decir:

[tex]x = (8\,helados)\cdot \left(9,56\frac{MXN}{helado} \right)[/tex]

[tex]x = 76,48\,MXN[/tex]

El valor de los ocho helados de crema es 76,48 pesos.

2) ¿Cuál es el valor total que debe pagar en la tienda?

El valor total es la suma de todos los costes de los elementos comprados:

[tex]y = 76,48\,MXN + (1\,papa)\cdot \left(3,70\,\frac{MXN}{papa} \right)+(1\,gaseosa)\cdot \left(4,525\frac{MXN}{gaseosa} \right)+(1\,chocolatina)\cdot \left(1,267\,\frac{MXN}{chocolatina} \right)[/tex]

[tex]y = 85,97\,MXN[/tex]

El valor total de la compra es 85,97 pesos.

3) Si Miguel tiene en su bolsillo $99,56. ¿Cuánto dinero le queda después de pagar en el supermercado?

El remanente se obtiene al sustraer el valor total de la compra del efectivo disponible:

[tex]z = 99,56\,MXN-85,97\,MXN[/tex]

[tex]z = 13,59\,MXN[/tex]

A Miguel le queda 13,59 pesos después de pagar en el supermercado.


Related Questions

The floor of a large ware house is rectangular in shape and its length is twice as long as its width. The area of the floor of the warehouse is 39,200 square feet. What is the length of the floor of the warehouse in feet?

Answers

Answer:

The length of the warehouse is 280 feet.

Step-by-step explanation:

Let A be the area of the warehouse floor, W be its width, and L be its length.

A = W * L

We know that the length is twice the width:

L = 2W

Substitute the second equation into the first equation and we get:

A = 2W * W

Solve for W (A = 39200):

39200 = 2W * W

39200 = 2W²

19600 = W²

W = 140

Plug that number into the second equation to get the length:

L = 2 * 140

L = 280

So the length of the warehouse is 280 feet, the width is 140 feet, and the total area is 39200 ft²

b. Is the a discrete random variable, a continuous random variable, or not a random variable? time it takes for a light bulb to burn out A. It is a discrete random variable. B. It is a continuous random variable. C. It is not a random variable

Answers

Answer:

The correct answer is:

It is a continuous random variable (C)

Step-by-step explanation:

Continuous Random Variables are variables that do not take on a distinct value. They take on values that are a range of different possibilities to infinity. In continuous random variables, the values cannot be counted. In this example, the time it takes for a light bulb to burn out can be any rational number which is greater than 0, up to infinity; for instance, it can be 24 hours, 24.5 hours, 30.8 hours, 51.2 hours etc. There is an infinite possibility of the time it takes for the bulb to burn out.

Discrete Random Variables are ones in which the variables take on distinct values and nothing in between. Here, the outcomes can be counted. For example if a coin is tossed, there are only two possibilities which can be the outcome and that is either head, or tail. The number of possible outcome is 2, and there is nothing inbetween head or tail.

Answer:

It’s C

(Gibberish words to so i can to 29 words)

hciejdgrifgirgrittrufifgeydifufgfidhfuvifgdudugcudydgdidhdhf

Hope this helped,if not, don’t hate.

FOREVER CHANGED AREAS TOPIC: AREA/ MEASUREMENT Your class of 22 is lining up from recess to go back into the classroom and must maintain social distancing by remaining 180cm apart. What is the length of your line in cm and m?

Answers

Answer:

[tex]\huge \boxed{\mathrm{3780 \ cm}}[/tex]

[tex]\huge \boxed{\mathrm{37.8 \ m}}[/tex]

Step-by-step explanation:

22 students each maintain distancing of 180 centimeters apart.

1-2-3-4-5-6-7-8-9-10-11-12-13-14-15-16-17-18-19-20-21-22

There are 21 spaces between the students in the line.

21 × 180

= 3780

The length of the line is 3780 centimeters.

To convert cm to m, we divide the value by 100.

[tex]\frac{3780}{100}[/tex] = 37.8

The length of the line is 37.8 meters.

[tex]\huge{\boxed{\bf{Solution:}}}[/tex]

We have,

Number of students = 22Distance between any two consecutive student = 180 cm

To FinD:

Length of the line in cm and m.....

⚠️ Considering the lateral width of each student be negligible and then only considering the gap between them.

Between 2 students (Gap = 1)Between 3 students (Gap = 2)

.................Similarly,

Between 22 students (Gap = 21)

We have, Length of Gap = 180 cm

➝ Total length of gaps = 180 cm × 21 = 3780 cm

Converting into m,

➝ 100 cm = 1 m

➝ 3780 cm = 3780 / 100 m

➝ 3780 cm = 37.80 m

Length of line:-

In cm ➝ 3780 cm

In m ➝ 37.8 m

━━━━━━━━━━━━━━━━━━━━

All Parent functions have both x- intercepts and y-intercepts EXCEPT. I. Linear II. Absolute Value III.Quadratic IV. Cubic V.Square root VI. Cube root VII. Reciprocal VIII. Exponential IX. Logarithmic

Answers

Answer:

Reciprocal, Exponential and Logarithmic.

Step-by-step explanation:

x intercept is the value of x where y value is 0.

y intercept is the value of y where x value is 0.

Let us have a look at the possibility for each parent function as given.

I. Linear

[tex]y =x[/tex]

When x = 0, y = 0 and

When y = 0, x = 0

Therefore, both x and y intercept exist.

II. Absolute value

[tex]y =|x|[/tex]

When x = 0, y = 0 and

When y = 0, x = 0

Therefore, both x and y intercept exist.

III. Quadratic

[tex]y =x^{2}[/tex]

When x = 0, y = 0 and

When y = 0, x = 0

Therefore, both x and y intercept exist.

IV. Cubic

[tex]y =x^3[/tex]

When x = 0, y = 0 and

When y = 0, x = 0

Therefore, both x and y intercept exist.

V. Square root

[tex]y =\sqrt x[/tex]

When x = 0, y = 0 and

When y = 0, x = 0

Therefore, both x and y intercept exist.

VI. Cube root

[tex]y =\sqrt[3]x[/tex]

When x = 0, y = 0 and

When y = 0, x = 0

Therefore, both x and y intercept exist.

VII. Reciprocal

[tex]y =\dfrac{1}x[/tex]

When [tex]x = 0, y \rightarrow \infty[/tex]

Therefore, both x and y intercept do not exist.

VIII. Exponential

[tex]y =b^x[/tex]

where b is any base:

When [tex]x = 0, y =1[/tex] therefore y intercept exists.

When we put y = 0, which is not possible

Therefore, both x and y intercept do not exist.

IX. Logarithmic

[tex]y =logx[/tex]

When [tex]x = 0, y \rightarrow[/tex] not defined

Therefore, both x and y intercept do not exist.

PLEASE HELP ME ASAP!! Write the following statement as an inequality: 8 less than a number w is under 35.

Answers

Answer:

8<w<35

Step-by-step explanation:

the w has to be over 8, but less than 35, so 8<w<35 is ur answer.

// have a great day //

Express 16 as a product of its prime factors.

Answers

Answer:

16 = 1 x 16, 2 x 8, or 4 x 4. Factors of 16: 1, 2, 4, 8, 16. Prime factorization: 16 = 2 x 2 x 2 x 2,

Step-by-step explanation:

which can also be written 16 = 2⁴. Since √16 = 4, a whole number, 16 is a perfect square

if this helped please give me brainliest

Answer:

It will be:

Step-by-step explanation:

16=:

a) 1 x 16

b) 2 x 8

c) 4 x 4

All these are the product of 16 prime factors.

Prime factors are any of the number that can be multiplied to give the original number.

Hope they help.

The population of Stark county this year is 7,921 people. Last year the population was 7,547 people. Find the approximate percentage rate of growth of the county. A. 9.5% growth B. 1.05% growth C. 5% growth C. 0.95% growth

Answers

Answer:

Option (C)

Step-by-step explanation:

To determine the population we use the formula,

[tex]P_n=P_0(1+r)^{n}[/tex]

Where [tex]P_n[/tex] = final population

[tex]P_0[/tex] = Initial population

r = percentage growth

Now we substitute these values in the formula,

[tex]7921=7547(1+r)^1[/tex]

[tex]\frac{7921}{7547}=(1+r)[/tex]

r = 1.0496 - 1

r = 0.0496

r = 0.05

Therefore, percentage growth of the population of Stark county is 5%.

Option (C). will be the answer.

A mechanic charged $220.28 to repair a car. The price included charges for 3 hours of labor and $126.53 for parts. How much does the mechanic charge per hour for labor?

Answers

Answer:

$31.25

Step-by-step explanation:

Let's set up an equation.

$220. 28 - total

$126.53 - cost for parts

3 - # of hours

? - price per hour

3h + $126.53 = $220.28

Subtract $126.53 from both sides.

3h = $93.75

Divide by 3.

h = $31.25

The mechanic charges $31.25 per hour for labor.

Hope that helps.

Please answer this questions please. Will mark brainliest!!! The one with red circled.

Answers

Answer/Step-by-step explanation:

1.a)(iv). [tex] \frac{1}{6} + (-\frac{7}{8} [/tex]

Positive multiplied by negative = negative

[tex] \frac{1}{6} - \frac{7}{8} [/tex]

[tex]\frac{4 - 21}{24} = \frac{-17}{24} = -\frac{17}{24}[/tex]

2a.) 73.48 +(-37.3)

[tex] Note: + * - = - [/tex]

73.48 - 37.3 = 36.18

3c.) [tex] 3\frac{3}{4} [/tex] ÷ [tex] (-4\frac{2}{7}) [/tex]

Convert to proper fraction

[tex] \frac{15}{4} [/tex] ÷ [tex] (-\frac{30}{7}) [/tex]

Change ÷ to × and flip the fraction on your right upside down

[tex] \frac{15}{4} * (-\frac{7}{30}) [/tex]

[tex] -\frac{15*7}{4*30} [/tex]

[tex] -\frac{1*7}{4*2} = -\frac{7}{8} [/tex]

3d.) -52.25 ÷ (-5.5) = [tex] \frac{-52.25}{-5.5} [/tex]

(Note: - ÷ - = + )

[tex] \frac{-52.25}{-5.5} = 9.5 [/tex]

What are the next three terms in the sequence? 1, 10, 2, 9, 3, ___, ___, ___

Answers

i hope it helped for the question

Answer:

8, 4, 7

Step-by-step explanation:

The sequence is going backwards from 9 by adding and subtracting.

1, 10, 2, 9, 3, ___, ___, ___

11 - 10 = 1

1 + 9 = 10

10 - 8 = 2

2 + 7 = 9

9 - 6 = 3

3 + 5 = 8

8 - 4 = 4

4 + 3 = 7

Hope that helps.

2xy and 5xy

7 and 2xy

-3 and 5xy

7 and -3

Which are like terms

Answers

Answer:

2xy and 5xy are like terms

Step-by-step explanation:

Like terms have the same number, and variables.

A is correct since it has one number and two variables of x and y.

B is wrong since 7 doesn’t have xy at the end like 2xy does.

C is wrong since -3 doesn’t have xy at the end like 5xt does.

D is right since 7 and -3 are by themselves with no variables.

Best of Luck!

Can you help me fill this out

Answers

Answer :

In the picture above. I hope it helps:)

I started at 2 but for the one bracket just know that

1×1=1

1×2=2

1×3=3

1×4=4

1×5=5

1×6=6

1×7=7

1×8=8

1×9=9

1×10=10

1×11=11

1×12=12

The number of problems assigned as homework by a savvy math professor is a function of the length of the class on a particular day, which is either 45 minutes, 90 minutes, or 135 minutes. He first multiplies the number of minutes by 4 and then divides that number by 9. Finally, he subtracts 12 from that amount. Which of the following functions best represents the number of math problems the professor assigns depending on the length of the class, t, in minutes?

Answers

Answer:f(t)=4/9t — 12

Step-by-step explanation:

1. 4 is being multiplied by t first then divided by 9 not by 4/9 so there shouldn’t be any parentheses.

2. 12 is being subtracted from this so it should be 4/9t—12.

3. Final answer: f(t)= 4/9t — 12

Show What You Know
In 2-3 sentences, explain in writing, how you can compare
and order integers.
PLZZZ I DONT HAVE THAT MUCH TIME

Answers

Answer: " Compare and order integers, -3, +4  -3 < +4, 3 is farther to the left on the number line than +4. To put integers in order , you order the elevations from least to greatest. First, graph each integer then, write the integers as they appear on the number line from left to right. To compare integers If there are two numbers we can compare them one number is either greater than, less than or equal to the other number.

The slope of the line below is - 8/7
Write a point-slope equation of the line
using the coordinates of the labeled point.

A. y+4 = -8/7 (x+4)
B. y-4 = -8/7 (x-4)
C. y-4 = -8/7 (x-4)
D. y+4 = -8/7 (x+4)

Answers

Answer:

Hey there!

Point slope form:

y-4=-8/7(x-4)

Let me know if this helps :)

Let ABCD be a parallelogram such that AB = 10 , BC = 14, and Angle A = 45. Find the area of the parallelogram.

Will make person brainliest if answered within 15 minutes and is correct.

Answers

Answer:

Area of a parallelogram is base times height. Note that CD = AB & AD = BC

to find the height, draw a line from angle B perpendicular to the base b. Lets call the point of intersection at the base E. This constitutes a right triangle with AB as the hypotenuse. Using the law of sine to calculate the height h:

h/sin(A) = AB/sin(90°) ( sin(90°) = 1)

h = AB * sin(45°)

h = 10 * sin(45°)

Area = 14 * 10 * sin(45°) = 140 * sin(45°) ≈ 98.99 QEDexplanation:


The terminal side of a 130° angle in standard position lies in the
quadrant.
Two angles that are coterminal to 130 are and

Answers

Answer:

The answer is below

Step-by-step explanation:

The angle 130° lies in the second quadrant since it is between 90° and 180°. Coterminal angles are angles that share the same initial and terminal side with an angle. For a angle, there are many coterminal angles, to find a coterminal angle all you have to add or subtract 360°.

The positive angle that is coterminal to 130° are:

130 + 360 = 490°

490 + 360 = 850°

The negative angle that is coterminal to 130° are:

130 - 360 = -230°

-230 - 360 = -590°

The terminal side of a  130° angle lies in the second quadrant.

Given angle measures  130°.

The whole graph plane is divided into four quadrants, namely first quadrant, second quadrant, third quadrant and fourth quadrant.

The first quadrant has range of angles from 0 degrees to 90 degrees.

The second quadrant has range of angles from 90 degrees to 180 degrees.

The third quadrant has range of angles from 180 degrees to 270 degrees.

The fourth quadrant has range of angles from 270 degrees to 360 degrees.

Since the given angle measures  130°, thus its plot has initial side on zero degree and terminal side on  130° in the second quadrant, as [tex]90^{\circ}< 360^{\circ} < 180^{\circ}[/tex]

Thus, we have terminal side of a 130° angle lying in the second quadrant.

Learn more here:

https://brainly.com/question/1463364

True or false: equilateral triangles can be classified as acute right or obtuse

Answers

false, since all sides are equal all angles must be equal and when you have an obtuse or right triangle only on angle is obtuse or right. since one is different it cannot be equal on all sides making this statement false

Given: g(x) = x - 4 and h(x) = 2x - 8,
What is g(h(10))?
0 212
O V6
O V6-8
276 - 8
need help asap and need step by step!!!

Answers

Plug in 10 for x in h(x) then simplify
h(10)=2(10)-8
h(10)=20-8
h(10)=12

h(10) is 12 so put 12 in for g(x)
g(h(10))=12-4
g(h(10))=8

Here’s everything together
g(h(10))=(2(10)-8)-4
=(20-8)-4
=(12)-4
=8

This is what I’ve always done. I can’t really tell what your answers are so sorry if this isn’t right at all.

Let ABCD be a parallelogram such that AB = 10 , BC = 14, and Angle A = 45. Find the area of the parallelogram. Please do not answer in decimal form. Answer using a square root

Answers

Answer:

70√2  units²

Step-by-step explanation:

(see attached for reference notes on parallelograms)

we are given ABCD is a parallelogram where

Short Length, AB = 10 units

Long Length, BC = 14 units

Angle A = 45°

The area of the parallelogram is hence,  

= AB x BC sin 45°

= 10 x 14 x sin 45

= 140 sin 45°    (recall from special angles, that sin 45° = 1/√2)

= 140/√2   (remove radical from denominator by multiplying by √2/√2)

= (140/√2) x (√2/√2)

=70√2  units²

Sean runs 5 miles North of his house and then runs 3 miles East of his house. What is his displacement?

Answers

Answer: 5.83 milea

Step-by-step explanation:

As displacement is the shortest distance between two points. Now 5 miles north and 3 miles east so it makes a Right angle traingle and the hypotenuse is the displacement so

Displacement is (5^2 +3^2)^0.5 =5.83 miles.

The displacement is 5.83 miles.

What is a Triangle?

A triangle in geometry is a three-sided polygon with three edges and three vertices.

As per the given data:

Miles Sean ran to the north of his house = 5 miles

Miles Sean ran to the east of his house = 3 miles

For finding the displacement, we have to find out the length of the line from the initial to the final position of Sean.

As Sean first ran north and then ran east, a right-angled triangle is made.

The displacement of Sean is given by the hypotenuse of this right-angled triangle.

The perpendicular is the distance ran in north.

The base is the distance ran in east.

Now, by using the Pythagoras theorem:

H² = P² + B²

H² = (5)² + (3)²

H² = 25 + 9

H² = 34

H = √34 = 5.83 miles

The displacement is 5.83 miles.

Hence, The displacement is 5.83 miles.

To learn more on Triangle, click:

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#SPJ3

help me slove this problem thank you ​

Answers

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{22 \: units}}}}[/tex]

Step-by-step explanation:

Let the points be A and B

A ( -8 , - 18 )⇒( x₁ , y₁ )

B ( 14 , -18 )⇒( x₂ , y₂)

Finding the distance between these two points

[tex] \sf{ \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }[/tex]

Plug the values

⇒[tex] \sf{ \sqrt{ {(14 - ( - 8)}^{2} + {( - 18 - ( - 18))}^{2} } }[/tex]

We know that,[tex] \sf{( - ) \times ( - ) = ( + )}[/tex]

⇒[tex] \sf{ \sqrt{ {(14 + 8)}^{2} + {( - 18 + 18)}^{2} } }[/tex]

Calculate

⇒[tex] \sf{ \sqrt{ {22}^{2} + {0}^{2} } }[/tex]

Evaluate the power

⇒[tex] \sf{ \sqrt{484} }[/tex]

[tex] \sf{{22} }[/tex] units

Hope I helped !

Best regards!!

Anona hires a decorator to redecorate her bedroom. The decorator offers her 2 different plans: the basic plan has
x wall-color options, x + 1 ceiling-color options, and x + 3 flooring options. The gold plan offers all of the basic plan
offerings, plus 3 additional options in each category.
If a layout includes a wall color, ceiling color, and flooring, which option correctly shows the comparison between the
total number of unique layouts offered by the basic and gold plans?
O 3x +4 < 3x +11
Ox3+4x2 + 3x < 6x + 42x2 + 72
Ox+4 Ox3+4x² + 3x < x + 13.x2 + 54x + 72
>

Answers

Answer:

The correct option is;

x³ + 4·x² + 3·x  < x³ + 13·x² + 54·x + 72.

Step-by-step explanation:

The given parameters are;

The basic plan of the decorator = x wall-color options, x + 1 ceiling-colr options, and x + 3 floor options

The gold plan of the decorator = All of the basic plan options plus 3 additional options in each category

Therefore, the gold plan of the decorator = (x + 3) wall-color options, (x + 1 + 3) ceiling-color options, and (x + 3 + 3) floor options

The total number unique layouts offered by the basic plan = x × (x + 1) × (x + 3) = x³ + 4·x² + 3·x

Also, the total number unique layouts offered by the gold plan = (x + 3) × (x + 1 + 3) × (x + 3 + 3) = (x + 3) × (x + 4) × (x + 6)  = x³ + 13·x² + 54·x + 72

Which gives;

The comparison between the total number of unique layouts offered by the basic and gold plans  as x³ + 4·x² + 3·x  < x³ + 13·x² + 54·x + 72.

Frank says that for any whole number n, the value of 6n-1 is always prime. Is Frank correct? Explain your answer.​

Answers

Answer:

Frank is wrong

Step-by-step explanation:

[tex]6(6) - 1 = 35[/tex]

35 is a multiply by 5 so it is not a prime number.

The price of the same type of milk at 4 different stores is shown. 4 signs.Short description, 4 signs.,Long description, Alpha Mart, 1 quart, $1.00. Beta Mart, 1 gallon, $3.00. Gamma Mart, 1 pint, $0.54. Delta Mart, 2 quarts, $1.86. Question Which store has the lowest unit price per ounce for the milk? Answer options with 4 options A. Alpha Mart B. Beta Mart C. Gamma Mart D. Delta Mart

Answers

Answer:

B

Step-by-step explanation:

Lets convert everything to gallons.

Alpha Mart:

1 quart = 0.25 gallons

1 * 0.25 = 0.25 gallons for $1

1 / 0.25 = 4 * 1 = $4 per gallon

Beta Mart:

1 gallon for $3

Gamma Mart:

1 pint = 0.125 gallons

0.125 gallons for $0.54

1 / 0.125 = 8 * 0.54 = $4.32 per gallon

Delta Mart:

1 quart = 0.25 gallons

2 * 0.25 = 0.5 gallons for $1.86

1 / 0.5 = 2 * 1.86 = $3.72 per gallon.

As we can see from all the unit prices, Beta Mart sells milk for the cheapest price.

Best of Luck!

Answer: B

Step-by-step explanation:

B

Step-by-step explanation:

Lets convert everything to gallons.

Alpha Mart:

1 quart = 0.25 gallons

1 * 0.25 = 0.25 gallons for $1

1 / 0.25 = 4 * 1 = $4 per gallon

Beta Mart:

1 gallon for $3

Gamma Mart:

1 pint = 0.125 gallons

0.125 gallons for $0.54

1 / 0.125 = 8 * 0.54 = $4.32 per gallon

Delta Mart:

1 quart = 0.25 gallons

2 * 0.25 = 0.5 gallons for $1.86

1 / 0.5 = 2 * 1.86 = $3.72 per gallon.

Hope it helps!

16/5 x 36/12 x 25/18

Answers

Answer

[tex]\frac{16}{5}[/tex]*[tex]\frac{36}{12}[/tex]*[tex]\frac{25}{18}[/tex]=[tex]\frac{4}{1} *\frac{2}{3} *\frac{5}{1}=\frac{40}{3} =13\frac{1}{3}[/tex]

Step-by-step explanation:

Which scientist developed the first model of the atom that showed the structure of the inside of an atom?
O Dalton
O Boht
O Rutherford
O Thomson​

Answers

Answer: O Thomson​

Step-by-step explanation:

The first model which is known as "Thomson atomic model" of the atom that showed the structure of the inside of an atom is developed by William Thomson. The model gave description of an inner structure of the atom theoretically.His theory was supported by J J Thomson who had discovered electron.He discovered negatively charged particle during a cathode ray tube experiment

So, the correct option is "Thomson" .

Answer:

Thomson

Step-by-step explanation:

PLAASE HELP ME! I will make BRAINIEST

Answers

Answer:  Answer is the steps.

Step-by-step explanation:

The table of  with   the values  

   

 x           y  

0             3

1              1  

2              -1

3              -3  

It represents a linear function because as the y values decrease by 2  the x values increase by 1.

Need help with 8,12!!!!!!!!

Answers

Answer:

x = -12, a = 17

Step-by-step explanation:

You can use algebraic techniques to simplify two-step equations. They have a constant on one side of the equation and a variable with a coefficient on the other. However, for algebraic equations, most will require you to add or subtract a constant from the side with the variable.

4x + 7 = -41 can be simplified algebraically. Subtract 7 from both sides and then divide by 4.

4x + 7 = -41

4x = -48

x = -12

-4 - 2a = -38 can also be simplified algebraically. Add 4 to both sides and then divide by -2.

-4 - 2a = -38

-2a = -34

a = 17

Answer:

8    x = -12

12    a = 17

Step-by-step explanation:

8

4x + 7 = -41

4x = -41 - 7

4x = -48

x = -48/4

x = -12

probe:

4*-12 + 7 = -41

-48 + 7 = -41

12

-4 - 2a = -38

-2a = -38 + 4

-2a = -34

a = -34/-2

a = 17

probe:

-4 - 2*17 = -38

-4 - 34 = -38

[tex]\frac{1}{8}[/tex]w = 14

Answers

Answer:

w = 112

Step-by-step explanation:

1/8w = 14

Multiply each side by 8

8*1/8w = 14*8

w = 112

Answer: w = 112

Explanation: If w is being multiplied by a fraction, simply multiply both sides of the equation by the reciprocal of that fraction to get w by itself.

So in this problem, since w is being multiplied by 1/8,

we multiply both sides of the equation by 8/1.

On the left, (8/1) (1/8) cancels out and on the right,

if you multiply 14 by 8/1, you get 112.

So w = 112.

Image is attached below.

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