Robert and his younger sister are selling gift wrap to raise funds for the middle school band. Robert's sales are 2.5 times his sister's sales. Their total sales together can be represented by the equation x+2.5x= 63 . Which of these statements are true? Choose ALL that are correct. A. Robert's sales are represented by x when solving 3.5x= 63 . B. Robert's sister's sales total $18.00. C. Robert's sales total $25.20. D. Robert's sister's sales are represented by x when solving 3.5x= 63 . E. Robert's sales are represented by x when solving 2.6x= 63 .

Answers

Answer 1

Answer:

The answer is B. and D.

Step-by-step explanation:

if you solve the equation, you will find that X=18. Since his sister's sales are X, his sister sold 18. You multiply by 2.5 to find Robert's sales.

Answer 2

The correct statements are (B) and (D).

What is an equation?

Two or more expressions with an equal sign are defined as an equation.

The given equation is x + 2.5x = 63.

Note that Robert's sales are 2.5 times his sister's sales, therefore, if his sister's sales is x then his sales are 2.5x

Hence, option (A) is incorrect, as Robert's sales are 2.5x.

Solve the equation as follows:

x + 2.5x = 63

3.5x = 63

x = 63/3.5

x = 18

Hence, option (B) is correct.

Since x=18, Robert's sales are:

2.5 × 18

= 45

Hence, option (C) is incorrect, as Robert's sales are $45, not $25.20.

Option (D) is already shown to be correct.

Option (E) is also incorrect, as option (D) is correct.

Hence, the correct statements are (B) and (D).

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Related Questions

write 0.006 8 4 in scientific notation​

Answers

Answer: 6.84 x 10^-3

Step-by-step explanation:

Answer:

[tex]6.84 \times 10 {}^{ - 3} \: \: \: is \: the \: scientific \: notation.[/tex]

Using Linear Pairs to Find an Unknown Value
What is the value of x?
SEE
030
45
т
(3x)
55
70
R
O 60
W

Answers

Answer:

x=45

Step-by-step explanation:

I did it and got it right

Which are perfect square trinomials? Select two options. x2 − 9 x2 −100 x2 − 4x + 4 x2 + 10x + 25 x2 + 15x + 36
PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

C and D

Step-by-step explanation:

i just took the quiz

From the given options, only x² - 4x +4 and x² +10x +25 are perfect square trinomials. The correct options are the third and forth options - x² - 4x +4 and x² +10x +25

Determining perfect square trinomials

Recal that,

An expression is a perfect square trinomial if it takes the form ax² + bx + c and satisfies the condition b² = 4ac

For x² -9

a = 1, b = 0, c = -9

0² ≠ 4(1)(-9)

0 ≠ -36

∴ x² - 9 is NOT a perfect square trinomial

For x² - 100

a = 1, b = 0, c = -100

0² ≠ 4(1)(-100)

0 ≠ -400

∴ x² - 100 is NOT a perfect square trinomial

For x² -4x +4

a = 1, b = -4, c = 4

(-4)² = 4(1)(4)

16 = 16

x² - 4x +4 is a perfect square trinomial

For x² +10x +25

a = 1, b = 10, c = 25

(10)² = 4(1)(25)

100 = 100

x² +10x +25 is a perfect square trinomial

For x² +15x +36

a = 1, b = 15, c = 36

(15)² ≠ 4(1)(36)

225 144

∴ x² - 4x +4 is a NOT perfect square trinomial

Hence, from the given options, only x² - 4x +4 and x² +10x +25 are perfect square trinomials. The correct options are the third and forth options - x² - 4x +4 and x² +10x +25

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There were 52 problems on Petunia's last math test. She got
one-fourth of them wrong. How many questions did she get right?

Answers

Answer:13

Step-by-step explanation:

Does anyone know the answer to this?

Answers

Answer:

(B) The exponents should be subtracted by the quotient rule of exponents

Step-by-step explanation:

Let's examine how this was solved.

[tex](\frac{4^2 4^3}{4^{-5}})^2[/tex]

He first rose everything in the parentheses to the second power, which is just multiplying all the exponents by 2. This is correct.

[tex]\frac{4^4 4^6}{4^{-10}}[/tex]

He then combined the numerator exponents. Exponent rules say that [tex]a^b \cdot a^c = a^b+c[/tex], so he should have ended up with [tex]4^{10}[/tex], which he did. This is correct.

[tex]\frac{4^{10}}{4^{-10}}[/tex]

Now, what he did in the final step is wrong. He added the exponents. However, exponent rules tell us that when we have [tex]\frac{a^b}{a^c}[/tex], it equals [tex]a^{b-c}[/tex].

[tex]10 - (-10) = 10+10 = 20[/tex]

So the final answer should have been [tex]4^{20}[/tex]

Hope this helped!

-6x+8y-10x-8y
Show and explain work

Answers

Answer:

Simplify the expression.

−16x

Step-by-step explanation:

Which expression is a representation of the following:
+4
-7
A.4+ (-7) = - 3
B.7-4=3
C.4 + 7 = 11
D.4 + (-7) = 3

Answers

The correct expression is A.



Point M is the midpoint of segment PR. If PM= 4x - 12 and MR =2x + 21, solve for x and determine the measure of segment PR
Set up an equation to solve for x.

Answers

Answer:

x=4.5

Step-by-step explanation:

pm is equal to mr so you can set the equations to equal each other and solve

Chapters: 1.Integers
Answer the following questions:
1. Complete the pattern:
a) 8,3, -2, -7,
b) 20, 12, 4,
c) -14, -10, -6,​

Answers

Answer:

a) -12

b) -4

c)-2

Step-by-step explanation:

a) pattern is minus 5

b) pattern is minus 8

c) pattern is plus 4

when you have an equation the the result of multiple property's, can all the property's be in one equation?

Answers

Answer:

Step-by-step explanation:

5x - 3 = 2(x +2)^2

Don't try this. It is a double ugly equation. But you can see that you use the power property. You use the distributive property. You use addition and subtraction and division and multiplication to solve it.

Yes all the property’s could be in one equation

Solve by factoring

0 = x² - 4x + 4

Answers

You can use the formula (a-b)²=a²-2ab+b²
x² - 4x +4 = 0
x² - 2(x)(2) + 2² = 0 (a=x, b=2)
(x-2)² = 0

Explain why this is not a function

Answers

Answer:

Because a range cannot have more than one domain number

Step-by-step explanation:

17 is in the domain twice

This is not a function because a range cannot have more than one domain

Draw the graph of y= 2 - 1/2x
(Straight Line graphs)

Answers

Answer:

Slope: [tex]-\frac{1}{2}[/tex]

y-intercept: [tex](0,2)[/tex]

Look below for graph.

Step-by-step explanation:

[tex]y=2-\frac{1}{2}x\\y=\frac{-1}{2}x+2[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

A volcano in the ocean rises approximately 14,000 feet above sea level. Its base is approximately 20,000 feet below sea level. What is the total height of the volcano?

Answers

Answer:

6,000 feet

Step-by-step explanation:

Four kids race their bikes down the street. Evan finishes in 6.2,Devon in 6.0999 seconds,Liza in 6.188, and Tasha in 6.168 seconds. Which order shows the friends' times from fastest to slowest

Answers

Answer:

Devon, Tasha, Liza, Evan

Step-by-step explanation:

Devon is the fastest with 6.0999

Tasha is second fastest with 6.168

Liza is third fastest with 6.188

and Evan is the slowest with 6.2.

A class has 30 boys and 20 girls. The average age of
boys is 11 yrs and girls 12 What is the
average age of the whole class."

Answers

x = total age of boys

x / 30 = 11yrs

Multiply both sides by 30

x = 330

y = total age of girls

y / 20 = 12

Multiply both sides by 20

y = 240

(240 + 330) / 50 = 11.4 yrs

The average age of the whole class = 11.4 years.

Given:

A class has 30 boys and 20 girls.

The average age of boys and girls is 11 and 12 respectively.

To Find:

The average age of the whole class.

Solution:

Boys = No. of boys × Age

Boys = 30 × 11 = 330

Girls = No. of girls × Age

Girls = 20 × 12 = 240

Average Age = Boys + Girls / Total no. of boys and girls

Average Age = 330 + 240 / 50

Average Age = 570 / 50

Average Age = 11.4

Answer:

Average age of of the whole class is 11.4 .

Express 48^(1/4) in simplest radical form.

Answers

Answer:

[tex]2\sqrt[4]{3}[/tex]

Step-by-step explanation:

[tex]48^\frac{1}{4} = \sqrt[4]{48}[/tex]

Expanding [tex]\sqrt[4]{48}[/tex] gives [tex]\sqrt[4]{2*2*2*2*3}[/tex] which is equal to [tex]2\sqrt[4]{3}[/tex]

Solve and show your work. Plz :)

Answers

Answer:

Step-by-step explanation:

4[6(2+3)] _____ 125 - 5 * 1

4[6(5)] _____ 125 - 5 * 1

4[30] _____ 125 - 5 * 1

120 _____ 125 - 5 * 1

120 _____ 125 - 6

120 _____ 119

120 ≠ 119

Answer:

119.9

Step-by-step explanation:

SOMEONE PLEASE HELP ME QUESTION 5 2 PARTS IN THE PICTURE!!!!!

Answers

Answer:

  x ≥ 6; see below for a graph

Step-by-step explanation:

First inequality

  7x -6 > 8

  7x > 14 . . . . . . add 6

  x > 2 . . . . . . . .divide by 7

Second inequality

  3x+4 ≥ 22

  3x ≥ 18 . . . . . . subtract 4

  x ≥ 6 . . . . . . . . divide by 3

The values of x that will satisfy both inequalities are x ≥ 6. (All of those values are > 2.)

The solution to the inequalities is x ≥ 6.

__

Your graph will have a solid dot at x=6, indicating 6 is part of the solution set. It will be shaded to the right, with an arrow at the right end.

what is the value of x/yz if x=-2 y=-3 & z=-4?

Answers

Answer:

- 1/3

Step-by-step explanation:

-2/-3(-4)=

-2/12=

-1/3

7 divided by what equals 56?

Answers

Answer:

the answer is 8 very easy and very simple have a great

day ☺️

The answer is 8 that’s very simple lol

Rajeev has three times the number of oranges as
Sanjeev. Together, they have 28 oranges.
How many oranges does Sanjeev have?

Answers

Answer:

7

Step-by-step explanation:

let sanjeevs no of oranges be x

rajeevs no of oranges=3x

total=4x=28

x=28/4

=7

sanjeevs oranges=7

while rajeevs oranges=3*7

=21

I do not get it pls help ASAP

Answers

Answer:

17 ft.

Step-by-step explanation:

just add all the values to get the perimeter.

Perimeter = 3ft +4+3+4+3

=17 feet

Therefore.., 17ft is the perimeter..

If this answer helps you plz mark as brainlist..

help me pls i need help pls omg omg

Answers

Answer:

eliminated, the bedtime increases by one minute. ... Description: This activity requires students to tell time to the half-hour (e.g. 4:00, 5:30, 11:30).

Step-by-step explanation:

Answer:

I think it's A) <1 and <2

Step-by-step explanation:

I am not 100% on this, but Adjacent angles are two angles that have a common vertex and a common side but do not overlap. In the figure, ∠1 and ∠2 are adjacent angles. They share the same vertex and the same common side.

2log50+2log2 sederhanakan dengan caranya

Answers

Answer:

4

Step-by-step explanation:

log(50×50)×log(2×2)

log (2500)×log(4)

log(2500×4)

log(10000)

log(10^4)

=4

Divide. 5892 ÷ 18 in fraction form.

Answers

Answer: mixed number 327 1/3

Step-by-step explanation:

5892/ 1÷18/ 1=327 1/3

put each number over one to turn it into a fraction.

The answer in fraction form is 982/3 or 327 (1 / 3).

Given,

5892 ÷ 18

We need to divide it in fraction form.

How do we divide a fraction?

Suppose we have two fractions:

a/b and c/d

Divide a/b by c/d

Now,

a/b ÷ c/d

a/b x d/c

Divide 5892 ÷ 18 in fraction form.

Write 5892 and 18  in fraction form:

- 5892/1

- 18/1

Now,

= 5892 / 1 ÷ 18/1

= (5892/1) / (18/1)

= (5892/1) x (1/18)

= (5892 x 1)  / (1 x 18)

= 5892 / 18

Write it in 6 multiples

= (6 x 982) / (6 x 3)

6 gets cancelled

= 982 / 3

We can write it in mix fraction.

= 327 (1 / 3)

Since,

3 x 327 = 981

981 + 1 = 982

Thus the answer in fraction form is 982/3 or 327 (1 / 3).

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Find the distance between points (-1,-4) and (2,2)

Answers

Answer:

5

Step-by-step explanation:

The Square Root of a whole number is Always, Sometimes or Never a rational
number? *
Always
Sometimes
Never

Answers

The answer is Sometimes

The square root of a whole number is rational Sometimes :)

Evaluate the function f(x) = 3 - 6x, when x=0.

a -3
b 0
c 3
d -57

Answers

Answer:

C

Step-by-step explanation:

f(0)= 3 - 6 (0)

f(0)= 3 - 0

f(0)= 3

2x - 4y + 7x - 87
Helppp

Answers

Answer:

9x-4y-87

Step-by-step explanation:

2x-4y+7x-87

9x-4y-87

Answer:

9x-4y-87

Step-by-step explanation:

7x+2x=9x

-4y has no similar variable

-87 has no similar variable

therefore the answer is 9x-4y-87

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