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crimeas [40]
2 years ago
7

Translate the sentence into an inequality. Eight times the sum of a number and 27 is at most "-15." Use the variable y for the u

nknown number.
Mathematics
1 answer:
strojnjashka [21]2 years ago
7 0

Answer:

8(y + 27) ≤ -15

Step-by-step explanation:

In the given inequality statement,  "Eight times the sum of a number and 27 is <u>at most</u> "-15""  

The first part, "Eight times the sum of a number and 27" means that 8 is multiplied to the sum of y and 27.  While the phrase "at most" means "<u>less than or equal to</u> (≤)"  The phrase also implies that the value of y can be -15, or any value less than -15.  

Therefore, the correct algebraic expression is: 8(y + 27) ≤ -15  

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Peony mixes red paint and white paint in the ratio 1:3 She uses four tins of red paint Work out the total number of tins of pain
blsea [12.9K]

Answer:

16

Step-by-step explanation:

4x3=12 tins of white paint

12+4=16 total tins

5 0
3 years ago
A baseball team had $1,000 to spend on supplies. The team spent $185 on a new bat. New baseball cost $4 each. The inequality 185
Marta_Voda [28]

This question is incomplete

Complete Question

A baseball team had $1,000 to spend on supplies. The team spent $185 on a new bat. New baseballs cost $4 each.

The inequality 185 + 4b ≤ 1,000 can be used to determine the number of new baseballs (b) that the team can

purchase. Which statement about the number of new baseballs that can be purchased is true?

A. The team can purchase 204 new baseballs.

B. The minimum number of new baseballs that can be purchased is 185.

C. The maximum number of new baseballs that can be purchased is 185.

D. The team can purchase 185 new baseballs, but this number is neither the

maximum nor the minimum.

Answer:

D. The team can purchase 185 new baseballs, but this number is neither the maximum nor the minimum.

Step-by-step explanation:

The first step would be to solve the given equation:

185 + 4b ≤ 1000

4b ≤ 1000 - 185

4b ≤ 815

Divide both sides by 4

b ≤ 203.75

The maximum amount of baseballs the team can buy is 203. This means that they can buy 203 or less than that amount.

Of all the options give, option D is the correct option because the team can purchase 185 new baseballs, but this number is neither the maximum nor the minimum.

The maximum number of ball they can buy is 203 balls and the minimum is zero.

8 0
3 years ago
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Liula [17]

Answer:

Step-by-step explanation:

x=180-59-41

x=80

3 0
2 years ago
Read 2 more answers
The table shows a proportional relationship between the number of stars Roberto collects in a game and his total points. A row o
maks197457 [2]

Answer:

1) 20 stars; 30 points.

2) 28 stars, 42 points.

3) 38 stars, 57 points.

Step-by-step explanation:

<h3> The missing table is attached.</h3>

Let  be "x" the numbers of stars Roberto collects and "y" his total points.

The proportional relationship has this form:

y=kx

Where "k" is the constant of proportionality.

We can choose the point (8,12) from the table, where:

x=8\\y=12

Substituting these values into  y=kx and solving for "k", we get:

 12=k(8)\\\\\frac{12}{8}=k\\\\k=1.5

Knowing the value of "k", we determine that the  following Numbers of stars and the Total points could be used as the missing values in the table:

1) For x=20 :

y=(1.5)(20)=30

2) For x=28 :

y=(1.5)(28)=42

3) For x=38 :

y=(1.5)(38)=57

4 0
3 years ago
Read 2 more answers
A toy store marks down every toy by 15% in June. How much does a toy cost during June?
iragen [17]

Answer:

since the toy is marked down 15%,

you do p*.85  

to find the remaining cost

Step-by-step explanation:

7 0
3 years ago
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