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2 years ago

Find the value of 5/32 divided by 25/4. show your reasoning

Mathematics

1 answer:

boyakko [2]2 years ago

7 0

Answer:

Step-by-step explanation:

we can use reciprocals to solve this

(5/32)/(25/4) = (5/32)*(4/25) = 20/(32*25) = 20/800 = 2/80 = 1/40 = .025

rewrite

so reciprocals is a method in which division can be turned into fractions which can be turned into multiplication

heres an example

x/2=0.5x

y/4=0.25y

so 0.5x/0.25y would be the same as (x/2)/(y/4) which can be converted to a reciprocal where it would look like (x/2)*(4/y) which makes our answer 4x/2y which we can simplify to 2x/y

same concept for (5/32)/(25/4), first we can make it into a reciprocal (note, reciprocal means just flipping one of the fractions and replacing the division sign as multiplication) by writing (5/32)*(4/25)

now we multiply numerator by numerator to get 20

and we multiply denominator by denominator to get 800

20/800 = 2/80 = 1/40

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abel drew some triangles.his drawing had 21 vertices. how many triangles did he draw?write a division equation to answer the que

Vilka [71]

Triangles have 3 vertices. The total is 21 vertices. 21 / 3 = 7. He drew 7 triangles.

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3 years ago

Solve for a r=x(a+b)<br><br><br> Solve for x x/2=-7

Anastaziya [24]

Answer:

a = (r/x) -b

x = -14

Step-by-step explanation:

r=x(a+b)

Divide each side by x

r/x = a+b

Subtract b

r/x -b = a

x/2=-7

Multiply each side by 2

x/2*2 = -7*2

x = -14

4 0

2 years ago

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Sam raked 3 bags of leaves in 16 minutes. if he continues to work at the same rate about how long will it take him to rake 5 bag

Solnce55 [7]

3 bags = 16 m
1 bag = 5/1/3 m
5 bags = 26 m 40 seconds

i am a mathematics teacher. if anything to ask please pm me

3 0

3 years ago

Alex scored 98,72, and 87 on his first three math test. What must he score on the next test to have an average of at least 86 (P

ss7ja [257]

Answer:

$\huge\boxed{\text{At least an } 87\%}$

Step-by-step explanation:

In order to find what score Alex must earn to have an average of 86 on all his tests, we need to first note what the formula to find the average of a data set is.

$\displaystyle \frac{x_1+x_2+...x_n}{n}$

What the formula means is that we have to add up all the values then divide by the total number of values.

Let's represent our unknown number as $x$ .

$\displaystyle \frac{98+72+87+x}{4} \geq 86$ (since we want AT LEAST an 86).

Let's solve this inequality for x.

$\frac{98+72+87+x}{4} \cdot 4 \geq 86 \cdot 4$
$98+72+87+x \geq 344$
$257 + x \geq 344$
$257 + x - 257 \geq 344 - 257$
$x \geq 87$

So, Alex must score at least an 87% on his next quiz to have an average of 86%.

Hope this helped!

8 0

2 years ago

Find 4ab when (a+b)=15 and (a-b)=12

Volgvan

A + b = 15 ..... eq 1
a – b = 12 ...... eq 2

So a = 15 – b
Substitute in eq 2 :

15 – b – b = 12
15 – 2b = 12
–2b = 12 – 15
b = 1.5

So a = 15 – 3/2 = 13.5

4ab = 4 x 13.5 x 1.5 = 81

4 0

3 years ago

Read 2 more answers