Does this equation have one, many, or no solutions? [tex]2+4(3-4x)=5x+9[/tex] If one, what is the value of 'x'? Show work please.

Answers

Answer 1

Answer: This equation has one solution.

Steps:

2+4(3-4x) = 5x +9

First, we need to distribute to the terms inside the parentheses.

4 * 3 = 12   and   4 * -4= -16x

Our equation now looks like this:

2 + 12 - 16x = 5x + 9

We can now combine like terms. We have 2 like terms that we can combine:

2 + 12 + = 14

Our equation now looks like this:

-16x + 14 = 5x + 9

We can now use inverse operations to get rid of 5x. The inverse operation for addition is subtraction; so we subtract 5x on both sides. Remember, our goal is to isolate the x.

-16x + 14 = 5x + 9

-5x          -5x

The fives cancel out. Our equation now looks like this:

-21x + 14 = 9

We can now use inverse operations to get rid of the 14:

-21x + 14 = 9

       - 14  -14

The fourteens cancel out. Our equation now looks like this:

-21x = -5

Last step! Now we use inverse operations to isolate the x. -21 is being multiplied by x; the inverse operation for multiplication is division.

-21x/-21 =    and    -5/-21 = 5/21

x is equal to 5/21.

Hope this helps!

Answer 2

Answer:

-5x + -5 + 5x-.1

Step-by-step explanation:


Related Questions

1. The cards bearing letters of word “MATHEMATICS” are placed in a bag. Find the probability of getting: (a) any vowel. (b) any consonant. (c) the letter ‘m’. 2. 8 added to twice a number gives 40. Find the number

Answers

Answer:

1) 30%, 50%, 10%

2) x = 24

Step-by-step explanation:

Hey there!

1) "MATHMATICS"

a) Vowels - a, e, i, o, u

This is 3/10 of the letters meaning pulling a vowel is 30%.

b) Constants - B, C, D, F, G, H, J, K, L, M, N, P, Q, R, S, T, V, X, Z

Well there are 5 constants in mathematics so the percent is 50%.

c) Letter "m"

The letter m is 1/10 meaning pulling the letter m is a 10%.

2) 8 added to twice a number gives 40. Find the number

Well lets set u an equation,

8 + x + 8 = 40

16 + x = 40

-16

x = 24

Hope this helps :)

Answer:

In bold.

Step-by-step explanation:

1.

There are a total of 11 letters in the bag including 4 vowels, 7 consonants.

The letter m appears  twice in mathematics.

(a) Probability(getting a vowel) = 4/11.

(b)  Probability(getting a consonant) = 7/11.

(c)  Probability(getting a letter m) = 2/11.

2.  

Let the number be n, then:

8 + 2n = 40

2n = 32

n = 16.

Does x=-3 fall on the interval (-♾, -4)? Yes or no and why:

Answers

No

-3 is greater than -4 and does not lie in the range between (-infinity, -4)

Number line:

<————-o—-|——|——-...
-infinity -4 -3 -2

I need more help because I still do NOT understand this

Answers

Answer:

f-9=12 Answer=20

24=g+14 Answer=10

Step-by-step explanation:

take the numbers you already have, let's start with the first equation:

f-9=12

find out what they are when you put them together

12+9=f

f=20

Second equation:

24=g+14

do the same, except subtract this time

24-14=g

g=10

Hope this helps (:

There are 15 gummy bears. If they are evenly divided between 7 people, how many gummy bears does each person get? Choose the correct answer from the choices below.

Answers

Answer:

2.14285714286 or 2 1/7 gummy bears

Step-by-step explanation:

15/7=2.14285714286 or 2 1/7

Answer:

Hello! Answer below, with an picture too :)

Step-by-step explanation:

:::::: [tex]2[/tex] [tex]1/7[/tex]

The answer is 2 1/7 or 2 R 1

Steps:

So we do 15 divided by 7.

[tex]\sqrt[7]{15}[/tex]

***********************************

0 2

....................

7 ⟌ 1 5

- 0

.............

1 5

- 1 4

.............

1

Steps below in the picture, too!

By:✨RobloxYt✨

(Picture attached)

for each diagram, determine whether angles 1 & 2 form a linear pair, heeelp please :(

Answers

Answer:

only (12) has a linear pair

Step-by-step explanation:

Recall that for two angles to be called a "Linear Pair", they need to satisfy several conditions:

1) The two lines must intersect at a shared point (i.e common vertex)

2) The two angles must be adjacent (i.e immediately next to one another)

3) The two angles must add up to 180 degrees.

In our case,

in (9), the angles are not adjacent and  they do not add up to 180 deg, so this is NOT a linear pair

in (10), the angles are not adjacent and they do not add up to 180 deg, so this is NOT a linear pair

in (11), the lines do not intersect at a shared point(they do not have a common vertex). Plus we cannot be 100% sure that they add up to 180 deg. Hence this is not a linear pari

in (12), we can see that the angles satisfy all 3 conditions above. This is a linear pair.

Sales Rise from 2000 per week to 2500 per week, calculate the percentage change..

Answers

Answer:

[tex]\huge\boxed{25\%}[/tex]

Step-by-step explanation:

Previous Price = 2000

Current = 2500

Increase:

=> 2500 - 2000

=> 500

%age change:

=> [tex]\frac{500}{2000} * 100 \%[/tex]

=> ( 5 * 5 ) %

=> 25%

Answer:

Percentage change = 25%

Step-by-step explanation:

To find the percentage change we use the formula

[tex]Percentage \: \: change \: \: = \frac{change}{original \: \: quantity} \times 100[/tex]

To find the change subtract the lesser one from the larger one

Original price = 2000

Final price = 2500

Change = 2500 - 2000 = 500

So the percentage change is

[tex] \frac{500}{2000} \times 100[/tex][tex] = \frac{1}{4} \times 100[/tex]

We have the final answer

Percentage change = 25%

Hope this helps you

Twice a number subtracted from four times that same number added to fifteen

Answers

What? Please elaborate.
14 is going to be your answer

What is negative 1/2 divided by 4/5

Answers

Answer:

-0.625

Step-by-step explanation:

- 0.5 / .8 = -0.625

-0.625 x .8 = - 0.5

Answer:

- 5/8

Step-by-step explanation:

What is negative 1/2 divided by 4/5

-1/2 ÷ 4/5 =-1/2 × 5/4 =- 1×5/2×4 =-5/8

Find the Area of a square with length(x + 7) and width (x + 7)

Answers

Answer:

x^2 +14x+49

Step-by-step explanation:

Area = length * width

        = ( x+7) * ( x+7)

       FOIL

    first: x^2

    outer: 7x

   inner: 7x

    last: 7*7 = 49

Add them together

x^2 +7x+7x + 49

Combine like terms

x^2 +14x+49

Solve the following equation for the variable. 2m – 3 =23
m =
What was the FIRST step?

Answers

Answer:add 3

Step-by-step explanation:

2m - 3 = 23
+ 3 + 3
2m = 26
/ 2 / 2
m = 13
The first step is to add three to each side. And m is equal to 13.

Multiply the trinomials.
(zº-x+9)(+*+x+15)
A. X* - 23x? - 16x + 135
B. **+23x? - 6x +135
C. X* + 3x? - 16x+135
D. **- 3x² - 6x +135
Please select the best answer from the choices provided

Answers

Answer:

b

Step-by-step explanation:

Use the flowchart to determine whether the opposites of the numbers
in questions 1 through 4 are positive or negative. Then give the
opposite of each number.
1. -2.7
2. 2/7
3. 3 1/8
4. – 0.9​

Answers

The flow chart determine that the answer is 9

Can someone help me please

Answers

It does help to draw a picture, like the question suggests.

The two “triangles” (the second one is inside the first) formed by Julie and the tree and their shadows are similar triangles, meaning that they have proportional leg lengths.

Therefore, you can make a ratio between each triangle’s pair of legs (i.e. AB:BD and EC:CD).

The tree’s shadow is a sum of Julie’s shadow and the distance between them, so its length would be x + 56 feet.

You would set up the ratios in order like so:

AB EC
BD equals CD

(Imagine there are fraction lines between AB/BD and EC/CD.)

You can solve the unknown factors in the ratio by cross-multiplying and isolating x:

i.e. if AB = x

x EC
BD equals CD becomes CD*x = BD*EC.

If there are two instances of x (like “x” and “x + 56” in the case of this problem), you can subtract one from the other to “isolate x” (i.e. 3x = x + y becomes 2x = y).

A student used the graph below to identify the minimum/maximum. The student said the graph had a maximum of 1. Explain the students mistake and how the student can tell the difference between a maximum and minimum. (Write your answer in at least 2 complete sentences).

Answers

Answer: Answer is in the step.

Step-by-step explanation:

The student made a mistake by identifying the maximum point by the x coordinate value of the vertex. Minimum or maximum points are determine using the y coordinate value.The student can determine the difference between a maximum and minimum by identifying the y coordinate of the vertex.

Please hurry 12 people fit comfortably in a 5 by 5 feet area. Use this value to estimate the size of a crowd that is 10 feet deep on ONE side of the street along a 1 mile section of a parade route. 25344 people 25344 people 52800 people 52800 people 110000 people 110000 people 20 people 20 people

Answers

hope this helps! Its the answer key to something almost exact

The size of the crowd that is 10 feet deep on ONE side of the street along a 1-mile section of a parade route is 25344 option (A) 25344 is correct.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

12 people fit comfortably in a 5 by 5 feet area.

Let x be the size of a crowd that is 10 feet deep on ONE side of the street along a 1-mile section of a parade route.

The fractions:

12/25 = x/(5280×10)

After cross multiplication:

25x = 633600

x = 633600/25

x = 25344

Thus, the size of the crowd that is 10 feet deep on ONE side of the street along a 1-mile section of a parade route is 25344 option (A) 25344 is correct.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

Is 7/8 greater than one

Answers

Answer: No

Reason: Any number divided by a number bigger than it will always have a result less than 1.

Answer:

No, because 7/8=0.875, which is not greater than 1.

HELPPL Enter the solution from least to greatest (x-2)(3x+3)=0

Answers

Answer:

x = -1, 2

Step-by-step explanation:

Step 1: Write out equation

(x - 2)(3x + 3) = 0

Step 2: Solve each individual root

x - 2 = 0

x = 2

3x + 3 = 0

3x = -3

x = -1

Step 3: Arrange from least to greatest

-1 < 2

So x = -1, 2

Answer:

x = -1    x = 2

Step-by-step explanation:

(x-2)(3x+3)=0

Using the zero product property

x-2 =0    3x+3 =0

x=2       3x = -3

             x = -3/3

             x = -1

How many metal doorstops 15 cm by 10 cm by 5 cm can be cast from a spherical ball of metal of diameter 400 mm?

Answers

Answer:

[tex]\approx \bold{44\ or\ 45}[/tex]

Step-by-step explanation:

Given

Diameter of spherical metal ball = 400 mm = 40 cm

Radius of spherical metal ball = 20 cm

Volume of a sphere is given as:

[tex]V_{Sphere} = \dfrac{4}{3}\pi r^3[/tex]

[tex]\Rightarrow \dfrac{4}3 \times 3.14 \times 20 ^3 = 33493.33 \ cm^3[/tex]

Dimensions of metal doorstops = 15 cm by 10 cm by 5 cm

It is of cuboid shape.

Volume of a cuboid is given as:

[tex]V_{Cuboid} = l \times b\times h = 15 \times 10 \times 5 = 750\ cm^3[/tex]

Number of such doorsteps that can be made from the metal ball is equal to Volume of metal ball divided by volume of metal doorstep.

[tex]\dfrac{33493.33}{750} \approx \bold{44\ or\ 45}[/tex]

hydrogen and oxygen come pouring out it drips and it dribbles and it comes from a spout​

Answers

Answer:

[tex]\Large \boxed{\mathrm{Water}}[/tex]

Step-by-step explanation:

Hydrogen and oxygen are elements that form the compound known as water.

Water comes pouring out, it drips, it dribbles, and it comes from a spout.

Answer:

Water

Step-by-step explanation:

Most of the water in our world is a combination of "ordinary" hydrogen atoms with "ordinary" oxygen atoms, but there are actually three different istopes (atomic varieties) of hydrogen and each of those can combine with oxygen to give a different kind of water.

If deuterium (hydrogen whose atoms contain one neutron and one proton instead of just one proton by itself) combines with oxygen, we get something called heavy water, which is about 10% heavier than normal water.

Similarly, tritium (hydrogen with two neutrons and one proton) can combine with oxygen to make something called super heavy water.

Water comes pouring out it drips and it dribbles and it comes from a spout​.

*ANSWER PLEASE, DIFFICULT QUESTION* A toy rocket is a composite of a cylindrical body with a cone for a nose. Find the volume of the rocket if the radius of the base is 1.25 inches, the height of the tip is 3 inches, and the height of the entire rocket is 15 inches. a.) 63.8 in3 b.) 56.3 in3 c.) 176.6 in3 d.) 58.9 in3

Answers

Answer:

a) 63.8 in³

Step-by-step explanation:

so the cylinder is 12 inches high

πr²h = π(1.25)²(12) = 58.90 in³

cone is 3 inches high

1/3πr²h =  = 1/3π(1.25)²(3) = 4.91 in³

58.90 + 4.91 = 63.81 in³

Answer:

63.8 in

Step-by-step explanation:

the formula of te volume of the cone is : πr²h/3

the height of te cone is the height of the tip

V=π(1.25)² * 3/3

V1=4.91( rounded to the nearest hundredth)

volume of the cylinder =πr²h ( the height of cylinder=25-3=23)

V2=π(1.25)²*12

V2=58.90

V1+V2=4.91 +58.90=63.81 ≅63.8

-5-(-11)-(-11).
what’s the answer

Answers

Answer: [tex]17[/tex]

Subtract

[tex]-5-(-11)=6[/tex]

Subtract

[tex]6-(-11)=17[/tex]

Answer:

[tex]\Large \boxed{17}[/tex]

Step-by-step explanation:

-5-(-11)-(-11)

=17

This is one way to do this;

1. => (-5−-11)−(0−11)

=> 6−(0−11)

=>6−-11

=17

Another way to do this;

First remove the parentheses.

-5+11+11

And than simplify.

6+11

=17

Answer;17

HELP PLEASE The value of a stock can be modeled by this equation. V = 23n + 42; where V is the value, in dollars, and n represents the number of months since purchase. Which statements correctly interpret the slope of the line? A. The slope of the line is 42. This means that the value of the stock increases $42 for each additional month since purchase. B. The slope of the line is 42. This means that the initial value of the stock was $42. C. The slope of the line is 23. This means that the initial value of the stock was $23. D. The slope of the line is 23. This means that the value of the stock increases $23 for each additional month since purchase.

Answers

Answer:

D. The slope of the line is 23. This means that the value of the stock increases $23 for each additional month since purchase.

Step-by-step explanation:

In the basic equation y = mx + b, m is the slope. In this situation, 23 is the slope because it is the coefficient.

42 is not the slope because it is the y-intercept.

D is the correct answer because the slope is 23, which means in this situation that the stock's value increases by $23 for each additional month after the purchase.

Answer:

D.

Step-by-step explanation:

The slope is the coefficient of n ( the month) which is 23.

This means the stock increases each month by a factor of 23.

Find the number by which 4732 should be divided to get perfect square.​

Answers

Answer:

7

Step-by-step explanation:

Prime factors of 4732:

4732 = 2² × 7 × 13²

As we see if we remove 7 from the factors list, we get the perfect square of 2²×13²= 26²

So the number by which 4732 should be divided is 7

4732/7 = 676 = 26²

please help me on this

Answers

Answer: True

Step-by-step explanation: The altitude of an isosceles triangle can be drawn from the vertex angle and be proven to be a median

False. Median cannot be a latitude.

The length of a rectangle is 6 meters less than twice its width. If the area of the rectangle is 308 m2, what are its dimensions?

Answers

Answer:

length = 22cmwidth = 14cm

Step-by-step explanation:

Area of a rectangle = l × w

where

l is the length

w is the width

From the question

Area = 308 m²

The length of a rectangle is 6 meters less than twice its width is written as

l = 2w - 6

Substitute this into the above formula and solve for the width

We have

308 = (2w - 6)w

2w² - 6w = 308

2w² - 6w - 308 = 0

Divide both sides by 2

We have

w² - 3w - 154 = 0

( w + 11)( w - 14) = 0

w + 11 = 0 w - 14 = 0

w = - 11 w = 14

Since the width cannot be negative

w = 14

Substitute w = 14 into l = 2w - 6

That's

l = 14(2) - 6

l = 28 - 6

l = 22

Therefore

length = 22cm

width = 14cm

Hope this helps you

does anyone know this?

Answers

Answer:

f(-9) = 279

Step-by-step explanation:

f(x) = 4x^2 + 7x + 18

f(-9) = 4(-9)^2 +7(-9) + 18

       = 4(81) - 63 + 18

       = 324 - 63 + 18

       = 279

What is the solution set of the following equation? 4\5^2= 2x- 4\5

Answers

Answer:

x = 18/25

Step-by-step explanation:

(4/5)² = 2x - 4/5

16/25 = 2x - 4/5

16/25 = 2x - 20/25

36/25 = 2x

x = 18/25

Answer:

x= 18/25

Step-by-step explanation:

Please help me with question​

Answers

Answer:

4 hours 7 minutes

Step-by-step explanation:

Since Trevon takes 10 hours to clean the attic, he cleans 1/10, 10% or .1 of the attic per hour. Since Cody takes 7 hours to clean the attic, he cleans 1/7, 14.3% or .143 of the attic per hour.

Together, that means they clean .1 + .143 of the attic per hour. That's an hourly rate of:

.1 + .143 = .243

The portion of the attic they clean in x hours is .243x. We'd like to know how long it will take them to clean 100% or 1 of the attic. So:

.243x = 1   Divide each side by .243

x = 1/.243

x ≈ 4.115

Let's convert .115 to minutes by multiplying by 60

.115 * 60 = 6.9 round to 7 for 7 minutes

It will take them around 4 hours 7 minutes to clean the attic.

Omar uses the factor theorem to determine whether x−3 is a factor of 4x4−12x2−18x−162. How does he proceed to the correct answer? A-Omar evaluates 4x4−12x2−18x−162 when x = 3. He determines that the value of the expression is 108 and concludes that x−3 is a factor. B-Omar evaluates 4x4−12x2−18x−162 when x=−3. He determines that the value of the expression is 108 and concludes that x−3 is not a factor. C-Omar evaluates 4x4−12x2−18x−162 when x = 3. He determines that the value of the expression is 0 and concludes that x−3 is a factor. D-Omar evaluates 4x4−12x2−18x−162 when x=−3. He determines that the value of the expression is 0 and concludes that x−3 is a factor.

Answers

Answer:

C- Omar evaluates 4x⁴−12x²−18x−162 when x = 3. He determines that the value of the expression is 0 and concludes that x−3 is a factor.

Step-by-step explanation:

Factor Theorem can be defined as a method or theorem that is used in mathematics to simplify polynomials. It is used to confirm if a particular root is the real root of the polynomial.

Factor Theorem states that:

a) If p(x) is a polynomial of degree of n is greater than 1 (n > 1) and a is any real number, then

b) x – a is a factor of p(x)

if p(a) = 0, x – a is a factor of p(x).

In the question above, we are told that:

Omar uses the factor theorem to determine whether x−3 is a factor of 4x⁴ −12x² − 18x − 162.

Using Factor Theorem,

b) x – a is a factor of p(x)

if p(a) = 0, x – a is a factor of p(x).

x - 3 = 0, x = 3

p(x) = 4x⁴ −12x² − 18x − 162 = 0

p(3) = 4(3)⁴ - 12(3)² - 18(3) - 162 = 0

p(3) = 4(81) - 12(9) - 18(3) - 162 = 0

p(3) = 324 - 108 - 54 - 162 = 0

p(3) = 324 - 324 = 0

p(3) = 0 = 0

Hence, since p(3) = 0, x - 3 is a factor of polynomial 4x⁴ −12x² − 18x − 162 .

Therefore,Option C- "Omar evaluates 4x⁴−12x²−18x−162 when x = 3. He determines that the value of the expression is 0 and concludes that x−3 is a factor. " is the correct answer.

Answer:

Answer is D on edge2020

Step-by-step explanation:

Omar should factor out a negative from one of the groups so the binomials will be the same.

PLEASE help me solve this problem

Answers

Answer:

x = 7.5

Step-by-step explanation:

We see that in order to find x, we need to use tangent, which is opposite over adjacent.

Step 1: Set up equation

tan37° = x/10

Step 2: Multiply 10 on both sides

10tan37° = x

Step 3: Evaluate

x = 7.53554

Step 4: Round

x = 7.5

Answer:

137

Step-by-step explanation:

the way to get it is that part that looks like a square inside the triangle is 90 so when you finish getting all the sides the answer will give you 137

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