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Tema [17]
3 years ago
14

Boris is ordering supplies for his company. He ordered 20 boxes of pencils and 32 boxes of pens. What is the ratio of boxes of p

ens ordered to boxes of pencils ordered? Please reduce your answer
A. 8:5
B. 16:10
C. 32:20
D. 9:3
Mathematics
2 answers:
Allisa [31]3 years ago
6 0
\frac{boxes \ of \ pens}{boxes \ of \ pencils}=\frac{32}{20}=\frac{8 \times 4}{5 \times 4}=\boxed{\frac{8}{5}} \Leftarrow A
valina [46]3 years ago
4 0

Answer:

8:5

Step-by-step explanation:

I did the question on study island  trust me. :)

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67 times a number minus 65 is equal to -4 less than the number
sashaice [31]

Answer:

Translation is 67x-65=x-4, you can use any variable for the number.

Step-by-step explanation:

7 0
3 years ago
(-2/3, sqrt5/3) is a point on a unit circle. Find the cosine, cosecant, and sine of the angle.
Nana76 [90]

Look at the picture.

\csc\theta=\dfrac{1}{\sin\theta}=\dfrac{1}{\frac{y}{r}}=\dfrac{r}{y}

We have the right triangle x, y and r. From the Pythagorean theorem we have:

r^2=x^2+y^2\to r=\sqrt{x^2+y^2}

We have the point

\left(-\dfrac{2}{3};\ \dfrac{\sqrt5}{3}\right)

Substitute:

r=\sqrt{\left(-\dfrac{2}{3}\right)^2+\left(\dfrac{\sqrt5}{3}\right)^2}\\\\r=\sqrt{\dfrac{4}{9}+\dfrac{5}{9}}\\\\r=\sqrt{\dfrac{9}{9}}\\\\r=1

\csc\theta=\dfrac{1}{\frac{\sqrt5}{3}}=\dfrac{3}{\sqrt5}=\dfrac{3\cdot\sqrt5}{\sqrt5\cdot\sqrt5}=\boxed{\dfrac{3\sqrt5}{5}}

8 0
3 years ago
Find the perimeter and simplify your answer
Lera25 [3.4K]

Answer:

32z-14

Step-by-step explanation:

2(9z-8)+2(7z+1)

18z-16+14z+2

simplify

32z-14

3 0
2 years ago
Marge cut 16 pieces of tape for mounting pictures on poster board. Each piece of tape was 3/8 inch long. How much tape did Marge
mafiozo [28]
Hi! :)

It sounds like you need to multiply this fraction. 

\frac{3}{8}*16=6

So, Marge used 6 total inches of tape. 

Hope this helps!
5 0
3 years ago
Why is the answer A?
Marina86 [1]

Answer:

B) 2 frozen dinners and 2 dozen jelly doughnuts

Step-by-step explanation:

Calculate the total utility for each option.

A) 46

B) 32 + 21 = 53

C) 16 + 30 = 46

D) 28

Option B has the highest total utility.

4 0
3 years ago
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