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3 years ago

3/9=21/k what is the strategy for solving it

Mathematics

1 answer:

Vinvika [58]3 years ago

5 0

Answer: k = 63

Step-by-step explanation: You need to multiply the left side by its reciprocal to move the numbers to the right. You also need to multiply by k on the right side to get it alone on the left. This will result in

(9/3)(3/9) = (21/k)(9/3) simplified

1 = 189/3k • k then multiply by k

k = 189/3 simplify

k = 63

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Question 6

Aleksandr-060686 [28]

Answer:

33 children

62 adults

Step-by-step explanation:

Set up 2 equations (a=adults c=children)

The first equation will be 3.25(a)+3 = 300.5

The second equation will be a + c = 95

Subtract c from both sides to get:

a = 95 - c

Replace c in the 1st equation to get:

3.25(95-c) + 3c = 300.5

Distribute 3.25 to 95 and -c:

308.75 - 3.25c + 3c = 300.5

Subtract 308.75 from both sides:

-3.25c + 3c = 300.5 - 308.75

Combine like terms:

-0.25c = -8.25

Divide by -0.25

children = 33

Subtract 33 from 95 to get

adults = 62

3 0

3 years ago

The hypotenuse is 8 inches. The side opposite angle X is 7 inches. Angle X = ?

Alex73 [517]

Step-by-step explanation:

In the picture.

The answer is <em><u>X = 61°</u></em>

6 0

3 years ago

Solve for X: 3х + 4 = 9x + 3

AleksandrR [38]

Answer:

x=1/6

Step-by-step explanation:

The steps are in the picture below

7 0

2 years ago

Read 2 more answers

Eva filled a bucket with 7 gallons of water. A few minutes later, she realizes only 1 3/5 of water remained. How much water had

Vesna [10]

Answer:

Step-by-step explanation:

$7 - 1 \frac{3}{5} = 6 \frac{2}{5}$

3 0

2 years ago

Last one!! I need the steps please! Will mark brainliest!

hoa [83]

Answer:

$h(t)=-6(t-2)^2+24$

Step-by-step explanation:

Given function:

$h(t)=-6t^2+24t$

where:

h = height (in feet)
t = times (in seconds)

Rewrite in the form $h(t)=a(t-h)^2+k$

The quickest way to do this is to expand $h(t)=a(t-h)^2+k$ and compare coefficients with the original function.

$\begin{aligned}h(t)& =a(t-h)^2+k\\ & = at^2-2aht+ah^2+k\end{aligned}$

Comparing coefficients with $h(t)=-6t^2+24t$

$\begin{aligned}\implies at^2& =-6t^2\\ a &=-6\end{aligned}$

$\begin{aligned}\implies -2aht & =24t\\ -2(-6)ht& =24t\\ 12ht & = 24t\\ 12h & = 24\\ h & = 2\end{aligned}$

$\begin{aligned}\implies ah^2+k & = 0\\(-6)(2)^2+k &=0\\ -24+k & =0\\ k &=24 \end{aligned}$

Therefore, substituting the found values into the equation:

$h(t)=-6(t-2)^2+24$

6 0

2 years ago