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4 years ago

13

10/r - 7 - 6b if r = 5 and b = -6

1 answer:

laiz [17]4 years ago

5 0

Steps to solve:

10/r - 7 - 6b when r = 5 and b = -6

~Substitute

10/5 - 7 - 6(6)

~Simplify

5 - 7 + 36

~Subtract

-2 + 36

~Add

34

Best of Luck!

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A boy has twice as many nickels as he has pennies, and he has 5 less dimes than nickels. If he has $4.46 in all, how many coins

Zarrin [17]

N=2p
n/2=p

n-5=d

10d+5n+1p=446
subsitute n/2 for p
subsitute n-5 for d
10(n-5)+5n+n/2=446
times 2 both sides
20(n-5)+10n+n=892
expand
20n-100+10n+n=892
31n-100=892
add 100 both sides
31n=992
divide both sides by 31
n=32

subsitute back

n/2=p
32/2=16=p

n-5=d
32-5=d=27

27 dimes
16 pennies
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3 years ago

Combine like terms to create an equivalent expression. Make sure to simplify coefficients and constants as well. 2\left(\dfrac{1

blsea [12.9K]

Answer:

$\dfrac{2m}{5}-\dfrac{1}{5} \:or\: \dfrac{2m-1}{5}$

Step-by-step explanation:

Given the expression

$2\left(\dfrac{1}{5}m-\dfrac{2}{5}\right)+\dfrac35$

STEP 1: Eliminate the brackets

$2\left(\dfrac{1}{5}m-\dfrac{2}{5}\right)+\dfrac35=\dfrac{2}{5}m-\dfrac{4}{5}\right+\dfrac35$

STEP 2: Simplify the constants

$\dfrac{2m}{5}+\dfrac35-\dfrac{4}{5}=\dfrac{2m}{5}+\dfrac{3-4}{5}\\=\dfrac{2m}{5}-\dfrac{1}{5}\\=\dfrac{2m-1}{5}$

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Positive

Step-by-step explanation:

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3 years ago

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A right triangle (triangle 1) has measurements of a = 505 mm and b = 286 mm. What are the measurements for c, α, and β?

Nataly_w [17]

see the attached figure to better understand the problem

Step 1

<u>Find the value of c</u>

we know that

Applying the Pythagorean Theorem

$c^{2} =a^{2}+b^{2}$

we have

$a=505\ mm$

$b=286\ mm$

substitute the values in the formula

$c^{2} =505^{2}+286^{2}$

$c^{2} =336,821$

$c=580.36\ mm$

Step 2

<u>Find the value of angle A (α)</u>

we know that

in the right triangle ABC

$cos(A)=\frac{b}{c} \\ \\cos(A)=(286/580.36)\\ \\A=arc\ cos(286/580.36)\\ \\A=60.48\ degrees$

Step 3

<u>Find the angle B (β)</u>

we know that

in the right triangle ABC

angle A and angle B are complementary angles

so

A+B=90

solve for B

B=90-A-------> B=90-60.48-----> B=29.52°

therefore

<u>the answers are</u>

a) the measure of side c is 580.36 mm

b) the measure of the angle α is 60.48°

c) the measure of the angle β is 29.52°

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3 years ago