Mathematics College


Which expression are equivalent to 3p + 15? choose ALL THAT APPLY

A) 3(p + 5)
B) 2p - p + 15
C) 7p - 4p + 15
D) 3(p + 15)​

Answers

Answer 1

Answer:

A and C

Step-by-step explanation:

Answer 2

The equivalent expressions are:

3(p + 5) and 7p - 4p + 15

Options A and C are the correct answer.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

3p + 15

Taking out common factors.

3 (p + 5)  ____(1)

And,

7p - 4p + 15

3p + 15

3(p + 5) _____(2)

From (1) and (2),

3(p + 5) and 7p - 4p + 15 are equivalent expression.

Thus,

The equivalent expressions are:

3(p + 5) and 7p - 4p + 15

Learn more about expressions here:

https://brainly.com/question/3118662

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Related Questions

4.5 = 1.5x
4.5 ÷ ___ = 1.5x ÷ ___
___ = x​

Answers

Answer:

The value of x is 3.

Step-by-step explanation:

The steps are :

4.5 = 1.5x

4.5 ÷ 1.5 = 1.5x ÷ 1.5

3 = x

- 6 + \sqrt{9 - 8a} = 1−6+
9−8a
​
=1​

Answers

Answer:

[tex]a = -5[/tex]

Step-by-step explanation:

Given

[tex]- 6 + \sqrt{9 - 8a} = 1[/tex]

Required

Solve for a

[tex]- 6 + \sqrt{9 - 8a} = 1[/tex]

Add 6 to both sides

[tex]6- 6 + \sqrt{9 - 8a} = 1+6[/tex]

[tex]\sqrt{9 - 8a} = 7[/tex]

Square both sides

[tex]( \sqrt{9 - 8a})^2 = 7^2[/tex]

[tex]9 - 8a = 49[/tex]

Subtract 9 from both sides

[tex]9-9 - 8a = 49-9[/tex]

[tex]- 8a = 40[/tex]

Make a the subject

[tex]a = -\frac{40}{8}[/tex]

[tex]a = -5[/tex]

The sales tax in Texas is 8.25% and an item costs $600. How much is the tax?

Answers

Answer:

49.5

Step-by-step explanation:

What is the rate of change for (0,5) (-6,-3)

Answers

Answer:

[tex]1 \frac{1}{3}[/tex]

Step-by-step explanation:

rate of change = Δy / Δx = y2 - y1/x2 - x1

                                         = -3 - 5/-6 - 0

                                         = - 8/-6

                                         = 1 and 1/3rd

Plz answer this question:

Answers

Answer:

90°

Step-by-step explanation:

5x+20=9x

20=9x-5x

20=4x

x=5

5x+20+9x=

5(5)+20+9(5)=

25+20+45=

90

Find the slope of the line through each pair of points(-13,-18),(0.-17)

Find the slope of the line through each pair of points(-18,-9),(-17,-16)

Find the slope of the line through each pair of points(8,18),(-13,20)

Find the slope of the line through each pair of points(7,-10),(3,-10)

Find the slope of the line through each pair of points(-17,-15),(-17,10)

Find the slope of the line through each pair of points(-1,-13)(6,-12)

Answers

The slope formula is

=2−1/2−1

For the first one it would be:

-17-(-18)/0-(-13)=1/13

m=1/13



Second one:

m=−16−−9/−17−−18= -7/1

m=-7

For the there one:

Slope =−12−−13/6−−1=1/7

m=1/7





I hope it was helpful. If you have any questions let me know.

find the maximum and minimum values of the function y=1/2 sin2x

Answers

Answer:

Maximum value equals 1/2

Minimum value equals -1/2

Step-by-step explanation:

The Sin Function when Graphed Shows a Range of [-1 , 1]

apply that on y=1/2 sin2x

y = 1/2 * 1 = 1

y = 1/2 * -1 = -1

so y = 1/2 , -1/2 .

Another Method using 1st derivative

dy/dx = 2 * 1/2 * cos2x

put dy/dx=0

cos2x=0

x= 45, x=135

Apply x values on y=1/2 sin2x

y = 1/2 , -1/2 .

Hope you understand it ^^.

Answer: A

Step-by-step explanation:

help due tonight
plssss

Answers

Answer:

Perpendicular to base

Step-by-step explanation:

The cut creates two rectangular prisms (each angle must be 90 degrees)

The cut is perpendicular to the base

4. There are 9x - 7 customers in a store on Monday and 5x + 15 customers on Tuesday. What is the total number of customers for the two days? *

Answers

Answer:

14x +8

Step-by-step explanation:

9x -7 + 5x +15

9x +5x -7 +15

Please help I’ll give brainleist

Answers

The fourth one I know this one already

Swimming pool was 9 meters wide with an area of 90 square.What is the length of the pool?

Answers

Answer:

90/9 = 10, the length of the pool.  This can be proven as 10 x 9 = 90²

Step-by-step explanation:

10 was the other length. All you needed to do is figure out what number multiplied by 9 is 90 c:

i to the power of 121 is equal to what

Answers

Answer:

1

Step-by-step explanation:

Hope this helps and have a great day!!!!!

Which of the following is a power function? Select all correct answers.

Answers

Answer:

The 1st, 4th, and 5th

Step-by-step explanation:

A power function is a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number.

PLEASE ANSWER ASAP
which scatterplot does NOT suggest a linear relationship between x and y?
A) I only
B) I and ll only
C) Ill and lV only
D) I, lll, and IV only​

Answers

Answer:

B

Step-by-step explanation:

Answer:

Answer is C) 3 And 4 only

Step-by-step explanation:

how many triangles can be constucted measuring 60°, 60°, and 40°​

Answers

Answer:

None, the sum of those angles does not equal 180 degrees

Answer:

none of the traingle can be constructed

The answer of this question is none. The sum of these three angles is 160°. So, none of the triangles can be constructed with angles measuring 60°, 60° and 40°

60°+60°+40°=160°

The sum of three angles is 160°

so, none of the traingle can be constructed with angles measuring 60°,60°and 40°.

Step-by-step explanation:

Hope it is helpful....

What is the value of the expression 4 × (2a − 1) if a = 3?
A16


B20


C23


D25

Answers

B I’m going to guess

Need help for geo..will mark brainlist

Answers

1st pair of triangles :

Postulate/theorem = SAS postulate

Explanation :

Given :

One side in both triangles are congruent. Another side in both triangles is also congruent. The angles between these two sides are also equal.

Since 2 sides and an included angle is equal in these two triangle, they are said to be congruent under the SAS congruence postulate.

2nd pair of triangles :

Postulate/theorem = ASA postulate

Explanation :

Given :

In triangle KDS and triangle KWS :

Angle K = Angle KAngle S = Angle SSide KS = Side KS

Since 2 angles and an included side is equal in these two triangles, they are said to be congruent under the ASA congruence postulate.

3rd pair of triangles :

Postulate/theorem = AAS theorem

Explanation :

Given :

In triangle ACB and triangle BED :

Angle A = Angle BAngle B = Angle DSide CB = Side ED

Since two angles and one side is equal in these two triangles, they are said to be congruent under the AAS theorem.

can someone help me ?

Answers

Answer:

What question are you referring to? a question references question 5 and 6 which aren't displayed.

Which is the better deal?

$4.09 for 4 kg

$6.19 for 6 kg

Answers

Answer:

$4.09 for 4kg

Step-by-step explanation:

4.09/4 is less than 6.19/6

Answer:

4.09 for 4kg

it would be a better deal bc it will b 1.0225 for each and for 6 it would be 1.0316

Hope this helps

Greta currently works 45 hours per week and earns a weekly salary of $729. She
will soon be starting a new job where her salary will be increased by 10% and her
hours reduced by 10%.
How much more will she be earning per hour at her new job?

Answers

Answer:

Step-by-step explanation:

current rate = $729/(45 hours) = $16.20/hour

increased salary = 1.10×$729 = $801.90

decreased hours = 0.90×45 = 40.5

increased rate = $801.90/(40.5 hours) = $19.80/hour

increase in rate = $19.80/hour - $16.20/hour = $3.60/hour

Ben is decorating his home with vases of flowers. He bought glass vases that cost $22 each and ceramic vases that cost $14 each. The total cost of the vases came to more than $172. Also, Ben bought no more than 10 vases in all.

Which system of inequalities can be used to determine the number of glass vases, x, and the number of ceramic vases, y, that Ben could have bought?

Answers

The system of inequalities that can be used to determine the amounts is given by:

22x + 14y > 172.x + y < 11.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

A system of inequalities works similarly to a system of equations, just the equality symbol is replaced by an inequality symbol(less, more, different,...).

In this problem, the variables are:

Variable x: Number of glass vases.Variable y: Number of ceramic vases.

He bought glass vases that cost $22 each and ceramic vases that cost $14 each. The total cost of the vases came to more than $172, hence:

22x + 14y > 172.

Also, Ben bought no more than 10 vases in all, hence:

x + y < 11.

More can be learned about a system of equations at https://brainly.com/question/24342899

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If LM = 6, what is the perimeter of △PKQ?

Answers

16 i believe
ur welcome
twenty-one? good luck

There were two partners Fred and jack Fred can paint 3 paintings per hour, and jack can paint 2 paintings per hour Fred has already painted 9 paintings and Jack has completed 10 paintings they took a break when they finished the same total number of paintings how many paintings did they each make in total? How long will it take each painter?

Answers

Answer:

bbbdbrhrhfhdbfhfhchchfhffh

if £1 = 0.864 Lt, work out the amount, to the nearest penny , that 1 Lt is worth

Answers

Answer:

[tex]1\ Lt = \pounds 1.157[/tex]

Step-by-step explanation:

Given

[tex]\pounds 1 = 0.864\ Lt[/tex]

Required

Determine the worth of 1 Lt

[tex]\pounds 1 = 0.864\ Lt[/tex]

Divide both sides by 0.864

[tex]\pounds \frac{1}{0.864} = \frac{0.864}{0.864}\ Lt[/tex]

[tex]\pounds \frac{1}{0.864} = 1\ Lt[/tex]

[tex]1\ Lt = \pounds \frac{1}{0.864}[/tex]

[tex]1\ Lt = \pounds 1.157[/tex] --  approximated

please help me thank you in advance!

Answers

Answer:

D) [tex](x-4.5 )^{2} =16.25[/tex]

Step-by-step explanation:

Explanation

Given that the equation

   x² - 9 x +11 =7

 [tex]x^{2} -\frac{9}{2} (2x) +11=7[/tex]

[tex]x^{2} -\frac{9}{2} (2x) +(\frac{9}{2} )^{2} -(\frac{9}{2}) ^{2}+ 11=7[/tex]

By using (a-b)² = a²-2ab+b²

[tex](x-\frac{9}{2} )^{2} -(\frac{9}{2}) ^{2}+ 11=7[/tex]

[tex](x-\frac{9}{2} )^{2} -(\frac{9}{2}) ^{2}+ 11-7=0[/tex]

[tex](x-\frac{9}{2} )^{2} -(\frac{81}{4}) + 4=0[/tex]

[tex](x-\frac{9}{2} )^{2} +(\frac{-81+16}{4}) =0[/tex]

[tex](x-4.5 )^{2} -16.25 =0[/tex]

Final answer:-

[tex](x-4.5 )^{2} =16.25[/tex]

Arithmetic sequence

Answers

Answer:18

Step-by-step explanation:

Note: Mathematicians start counting at 1, so by convention, n=1 is the first term. So we must define what the first term is. Then we have to figure out and include the common difference.

Taking a look at the examples again,

Sequence: 1, 2, 3, 4, … | Formula: a(n) = n + 1 | Recursive formula: a(n) = a(n-1) + 1, a(1) = 1

Sequence: 3, 8, 13, 18, … |Formula: b(n) = 5n - 2 | Recursive formula: b(n) = b(n-1) + 5, b(1) = 3


A)
450 mm2
B)
67,500 mm2
C)
600 mm2
D)
150 mm2

Answers

Answer:

im pretty sure its c

Step-by-step explanation:

solucion plis 4x- 2x > -8 -6​

Answers

The answer is,

[tex]x > - 7[/tex]

hope it helps.

Answer:

x>-7

Step-by-step explanation:

4x-2x>-8-6

-2x>-14

x>-7

If f(x) = (1/8)(8^x), what is f(3)?

Answers

Answer:

f(3)=64

Step-by-step explanation:

f(3)=(1/8)(8 cubed)

f(3)= 8 to the negative one times 8 cubed

f(3)= 8 squared

f(3)=64

Answer:

f(3) = 64

Step-by-step explanation:

In this question, you would plug in "3" to "x" and solve.

Solve:

f(3) = (1/8)(8³)

f(3) = (1/8)(8·8·8)

f(3) = (1/8)(512)

f(3) = 512/8

Simplify.

f(3) = 64

Your final answer would be f(3) = 64

A flagpole casts a shadow that is 11 feet long. At the same time, a girl standing nearby who is 3 feet tall casts a shadow that is 2 feet long. How tall is the flagpole to the nearest foot?​

Answers

Set up the equation with variable x representing the height of the flag pole

X/11 = 3/2

Multiply the numerator in the first fraction by the denominator in the second (x times 2)

Now reverse this with the denominator in the first equation and the numerator in the second (11 times 3)

This gives us

2x = 33

Divide both sides by 2

X = 16.5

Rounded the the nearest foot: x = 17ft

Answer:

17 feet

Step-by-step explanation:

The two shadows are parallel lines and are part of similar triangles formed.

Corresponding sides of similar triangles have same ratio. Let the length of the flagpole be x.

Then we have ratios:

x/11 = 3/2x = 11*1.5x = 17 feet (rounded up)
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