Lizzy wants to solve the equation 6(2x + 1) = 4x – 5. Which step would be an appropriate first step for Lizzy to take to solve for x?

Answers

Answer 1

Answer:

distribute parenthesis

Step-by-step explanation:

6(2x + 1) = 4x - 5 ← distribute parenthesis on left side

12x + 6 = 4x - 5 ( subtract 4x from both sides )

8x + 6 = - 5 ( subtract 6 from both sides )

8x = - 11 ( divide both sides by 8 )

x = - [tex]\frac{11}{8}[/tex]


Related Questions

(22²bc) (56°c)
a) loeb e b)25 å b2
c) 10å b¢ ) 10 abc
a
b
C
d
Simplify:

Answers

Answer:

a

Step-by-step explanation:

(2a²bc²)(5b²c)

= 2 × 5 × a² × b × b² × c² × c

= 10 × a² × b³ × c³

= 10a²b³c³

Write an equation of the line passes through (4,1) and is parallel to y=-2x+7 .

Answers

the equation is y=-2x+9

Which of the following best describes the slope of the line below?
O A. Negative
O B. Zero
O C. Positive
• D. Undefined

Answers

Answer:

B.zero

#carryonlearning

Answer:

D

Step-by-step explanation:

A vertical line parallel to the y- axis has an undefined slope

I have to find out which quadratic equations are in standard form?

Answers

Answer:

See image

Step-by-step explanation:

In order to be in standard form, all the variables should be on the same side of the equation. The x^2 term should be first, then the x term then the constant (you could think of it as an x^0 term; it is a plain number) The coefficients of the x^2 term and the x term, should be integer coefficients (the number next to the x^2 and x cannot be a fraction or decimal)

GUYS PLEASE HELP!!!

Answers

Answer:

C (5,4)

Step-by-step explanation:

(x,y)

fist number in the ordered pair is the X value

Second number in the ordered pair is the Y value

A (-3,0) means you go 3 spaces to the left in the negative direction and zero spaces in the Y axis

B(-2,1) means you go 2 spaces to the left on the x axis (negative) and 1 space up (positive) in the Y axis

C (5,4) means you go 5 spaces to the right on the x axis (positive) and 4 spaces up on the Y axis (positive)

After doing all of these we see that C does not end up on the line

A shop charges $4.95 for a large 9-ounce frozen
yogurt.

What is the cost per ounce of the frozen yogurt?

Answers

Answer: $0.55

Step-by-step explanation:

$4.95/9=$0.55 ( 1 ounce frozen yogurt)

A shop charges $4.95 for 9 ounces frozen yogurt, then the cost of per ounce yogurt is $0.55.

What is an arithmetic operation?

Addition, subtraction, multiplication, and division of two or even more integers are the four basic mathematical operations. Included among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given data in the question,

Price of 9 ounce yogurt = $4.95

Then,

The cost of per ounce of yogurt = 4.95/9 = $0.55.

To know more about arithmetic operations:

https://brainly.com/question/13585407

#SPJ2

Evaluate 4+(m-n)^4 when m =7 and n = 5

Answers

Answer:

20.

Step-by-step explanation:

Plugging m = 7 and n = 5 into the given expression:

Answer = 4 + (7 - 5)^4

= 4 + 2^4

= 4 + 16

= 20.

Practice A:
(first taught ir
lesson 14)

400 has how many 3/4 in it? Make sure your

answer is fully reduced.

Answers

The answer is 533.333

Answer:

The answer is

533.333333333 or 533.33 (Rounded up to the hundredths)

Step-by-step explanation:

Given: How many 3/4 can fit in 400.

Solve:

Step 1: Indentify what 3/4 equals.

3/4 = 0.75

Step 2: Divide 400 by 0.75

400 / 0.75 = 533.333333333

Step 3: Round up to the hundredths.

533.333333333 → 533.33

Hence, 533.333333333 or 533.33 is your answer.

- ✨7272033Alt✨

Hii I would love if anyone would be able to give me the answer to this <3

Answers

Answer:

×=40

Step-by-step explanation:

The total value of all the angles on any line is 180

so x+(4x-20)=180

40+(4×40-20)=180

Answer:

40°

Step-by-step explanation:

The sum of angles x and (4x - 20) is 180°

x + (4x - 20) = 180

5x = 200

x = 40°

By which reason can it be proven that triangles DAB and DAC are congruent?

AAS
SSS
SSA
AAA

Answers

Answer:

AAS

Step-by-step explanation:

Answer:

AAS

Step-by-step explanation:

pls someone help if you do all 3 i'll give you brainliest

Answers

A) 75

The two triangles are similar, ABC is an enlargement of RST by scale factor 2.5. So all lengths are 2.5 times larger than the lengths for RST

This gives us lengths of 30, 32.5 and 12.5

Adding these together gives us 75 for the perimeter

B) 30

We can work out the missing side of RST using Pythagoras’ theorem, it is 12
(12x5)/2 = 30

C) 187.5

We can use the same method as in B and use the formula for the area of a triangle to work out that the area for ABC is 187.5

please help and show work​

Answers

Answer:

x = 8

Step-by-step explanation:

∆D = ∆F

40°+2∆D = 180°

2∆D = 140

∆D = 70°

11x-18 = 70

11x = 88

x = 88/11

x = 8

I would appreciate if some would help me w 13 ^^ ty

Answers

I think the answer is 8 I’m not sure tbh

Which of the following values could represent the probabilities of complementary events? StartFraction 1 over 7 EndFraction and StartFraction 2 over 7 EndFraction 28% and 82% Two-fifths and Three-fifths 10% and 80%

Answers

Answer:

a

Step-by-step explanation:

Answer:

2/5 and 3/5

Step-by-step explanation:

PLEASE HELP ME!!!!

Which table represents the increasing linear function with the greatest unit rate?

Answers

Answer:

the answer should be C

Step-by-step explanation:

Hope this helps!

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

S (2, - 15 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Using (x₁, y₁ ) = T (0, 3 ) and (x₂, y₂ ) = S (x, y )

Calculate the midpoint using above and equate to coordinates of (1, - 6 )

[tex]\frac{x+0}{2}[/tex] = 1 ( multiply both sides by 2 )

x = 2

[tex]\frac{y+3}{2}[/tex] = - 6 ( multiply both sides by 2 )

y + 3 = - 12 ( subtract 3 from both sides )

y = - 15

S has coordinates (x, y ) = (2, - 15 )

Answer:

Point S is at the ordered pair (2,-15)

Step-by-step explanation:

midpoint formula : midpoint ordered pair (x,y) = ( [tex]\frac{x1+x2}{2}[/tex],[tex]\frac{y1+y2}{2}[/tex])

midpoint x = [tex]\frac{x1+x2}{2}[/tex] ; midpoint y = [tex]\frac{y1+y2}{2}[/tex]

midpoint x = 1 x1 = 0 midpoint y = -6 y1=3

Solve each equation for x2 and y2 to get the points for S.

x = [tex]\frac{x1+x2}{2}[/tex]

1 = (0) +x2 / 2

2 = x2

y = [tex]\frac{y1+y2}{2}[/tex]

-6 = 3 + y2 / 2

-12 = 3 + y2

-15 = y2

(2,-15) are the coordinates to point S.

what is 3√-1 square root

Answers

Answer:

3

Step-by-step explanation:

3√-1 = √9*-1= √-9 = 3 bcuase its always positive

Which of the following points lies in the solution set of the inequality y > 3x +10?
(1) (1,10)
(3) (4, 20)
(2) (-1,3)
(4) (2,16)

Answers

Since 3 is greater than -3, hence (-1, 3) lie in the solution set. Option C is correct

In order to determine the points that lie in the solution set of the inequality y > 3x +10, we will substitute the x-coordinate and see if y is greater than the result.

For the coordinate point (1, 10)

y > 3(1) +10

y > 13

Since 10 is not greater than 13, hence (1,10) does not lie in the solution set.

For the coordinate point (4, 20)

y > 3(4) +10

y > 22

Since 20 is not greater than 22, hence (4,20) does not lie in the solution set.

For the coordinate point (-1, 3)

y > 3(-1) +10

y > -7

Since 3 is greater than -3, hence (-1, 3) lie in the solution set.

Learn  more on inequality here: brainly.com/question/24372553

Darla ran 1/2 mile. Laura ran 5/8 mile. How many miles did they run altogether?

Answers

Answer:

1 1/8 mile

Step-by-step explanation:

when it says altogether most of the time you're supposed to add.

When you add fractions you need to have both denominator (number below the line) be the same. and sense 1/2 and 4/8 are equal we will replace it.

you add the numerators (top numbers) and keep the denominator (bottom number)

[tex]\frac{4}{8} + \frac{5}{8} = \frac{9}{8} =1\frac{1}{8}[/tex]

Sense the numerator is bigger you subtract the bottom number from the top number and put a 1 in front of the fraction.

A swimming pool already contains
a small amount of water when you start filling it at a
constant rate. The pool contains 45 gallons of water after
5 minutes and 120 gallons after 30 minutes. Find the
average rate of change and use it to write a linear model
that relates the amount of water in the pool to the time.

Answers

Answer:

Rate of change = 3 gallons/minute

Starting volume = 30 gallons

Step-by-step explanation:

A graph of the pool's water level would be useful.  The slope of the line would represent the rate of change for filling the pool.  It will also help us determine the amount of water that was in the pool to start.  Although it is tempting to say the rate of fill is 45gallons/5 minutes, or 9 gallons/minute, it is not correct.  The pool already started with an unknown volume of water.  The rate of change after 5 minutes, however, can be used.  The problem states it is being added at a constant rate.  Let's find an equation for a line, in the format of y=mx+b, where m is the slope (rate of change) and b is the y-intercept.

We'll let y represent the volume of water in the pool, and x will be the time in minutes.  The y-intercept will give us the amount of water in the pool at the start (x = 0).

The slope can be determined between the two given points:

(5,45) and (30,120):

Slope = Rise/Run [The change in y divided by the change in x].

Rise = (120 - 45) = 75

Run = (30-5) = 25

Slope = 75/25 or 3

The line, so far, becomes y=3x + b

The slope of 3 has units of gallons/minute.  It is the rate at which the pool is being filled.

We can find b, the starting volume of water, by using one of the two points in the equation and solving for b:

y=3x + b   [I'll use (5,45)]

45 = 3*(5) + b

b = 30 gallons

The pool had 30 gallons to start (at x = 0(minutes))

See the graph of the line, attached.

will give brainliest to correct answer !

Answers

lmk if you're looking for point slope form but it's y =  2/5x - 3

2. Sol went to the store to buy tomatoes. They were $1.89 per pound: Last week, the
price per pound was 30% lower. What was the price of tomatoes last week?

Answers

Answer:

1.323

Step-by-step explanation:

We can find 30% of 1.89 by multiplying: 1.89 x 0.3 = 0.567

Then, we must subtract: 1.89 - 0.567 = 1.323

Solve the system using elimination.
x − 4y = 4
3x − 4y = −12

A. (−2,112)

B. (−8,−3)

C. (−8,9)

D. (−2,−112)

Answers

Answer:

B. (-3,-8)

Step-by-step explanation:

I have aced tests on these. You can trust this is correct - plus it's verified by a calculator.

Answer:

B

Step-by-step explanation:

x - 4y = 4 → (1)

3x - 4y = - 12 → (2)

Multiplying (1) by - 1 and adding to (2) will eliminate the y- term

- x + 4y = - 4 → (3)

Add (2) and (3) term by term to eliminate y

2x + 0 = - 16

2x = - 16 ( divide both sides by 2 )

x = - 8

Substitute x = - 8 into either of the 2 equations and solve for y

Substituting into (1)

- 8 - 4y = 4 ( add 8 to both sides )

- 4y = 12 ( divide both sides by - 4 )

y = - 3

solution is (- 8, - 3 ) → B

Sierra left $17.75 as a tip for a waiter. This was 20% of the bill before the tip. How much was her total bill before the tip

Answers

Answer:

$31.95 Before tip.

Step-by-step explanation:

I believe you should just add 17.75+80%=31.95

17.75 / 0.2 = 88.75

Check: 88.75 x 0.2 = 17.75

a breakfast cereal advertizes that it has 5g of fibre in every 30g serving. How much fibre would someone receive if he or she ate a 50g serving of that cereal?

Answers

Answer:

8.33... grams of fiber

Step-by-step explanation:

The grams per serving is 5/30 or 1/6 or .166... or 16.66...%.

So Fiber = 16.66% * serving size or

F = 16.66 * 50 = 8.33...

Nikita began with the figure shown.
A.
B
She completed the following actions to construct the angle bisector of ZABC, but made a mistake in one of the steps. Select the step in which
her mistake was made.
Step 1: She placed the compass on point B and drew an arc which intersects ray BA at point D and ray BC at point E.
Step 2: Next, she placed the compass on point D and drew an arc on the interior of ZABC.
Step 3: Then, she placed the compass on point C and drew an arc on the interior of ZABC, which intersects the previous arc.
Step 4: She labeled the intersection of the two arcs as point F and drew the ray BF, which represents the angle bisector
of ZABC.

Answers

The angles formed by the angle bisector BF are ∠FBA and ∠FBC.

The step in which the mistake was made is step 3; Then, she placed the compass on point C and drew an arc on the interior of ∠ABC which intersects the previous arc.

Reasons:

The steps to draw an angle bisector are;

Place the compass at the vertex of the angle and draw an arc intersecting the the two rays forming the angle at points D and E

Place the compass at point D and draw an interior arc to the given angle

Place the compass at point E and draw a second interior arc intersecting the previous arc

The point of intersection of the two arcs can be labelled F and joined to the vertex of the given angle to complete the angle bisection

Therefore, the step in which the mistake was made is; Step 3 where the compass is placed at point C rather than point E to draw the second arc of the angle bisector

Learn more about an angle bisector here:

https://brainly.com/question/10130247

Answer:

Step three

Step-by-step explanation:

she placed the point on C when it was supposed to be on E

The lengths of 3-inch nails manufactured on a machine are normally distributed with a mean of 3.0 inches and a standard deviation of .009 inch. The nails that are either shorter than 2.98 inches or longer are than 3.02 inches are unusable. What percentage of all the nails produced by this machine are unusable?

Answers

Using the normal distribution, it is found that 2.64% of all the nails produced by this machine are unusable.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

The mean is of 3 inches, hence [tex]\mu = 3[/tex].The standard deviation is of 0.009 inches, hence [tex]\sigma = 0.009[/tex].

Nails that are more than 0.02 inches from the mean are unusable, hence:

[tex]Z = \frac{0.02}{\sigma}[/tex]

[tex]Z = \frac{0.02}{0.009}[/tex]

[tex]Z = 2.22[/tex]

The proportion is P(|Z| > 2.22), which is 2 multiplied by the p-value of Z = -2.22.

Z = -2.22 has a p-value of 0.0132.

2 x 0.0132 = 0.0264

0.0264 x 100% = 2.64%

2.64% of all the nails produced by this machine are unusable.

You can learn more about the normal distribution at https://brainly.com/question/24663213

A bicycle store costs $2550 per month to operate. The store pays an average of $45 per bike. The average selling price of each bicycle is $75. How many bicycles must
the store sell each month to break even?

Answers

Answer:

3750

Step-by-step explanation:

2250/45=50

50x75=3750

what is 5 over 4 in math

Answers

Answer:

An improper fraction

Step-by-step explanation:

In improper fraction is when the numerator (top number) is greater than or equal to the denominator (bottom number)

Kenza is inviting 5 friends to a party each friend wants 4 cookies and each box has 10 cookies. How many boxes should Kenza get?

Answers

Answer:

solution

5x4=20

20-10=10

:kenza need 10 cookies

next method

solution

friends of kenza are =5

wanted cookies for per friends is=4

now

5x4

=20

again

20divide 10=2

then

: she need 2 box .

Answer:

Kenza should get 2 boxes.

Step-by-step explanation:

Total number of cookies needed

= 5×4

= 20

Number of boxes needed

= 20÷10

= 2

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