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3 years ago

How to solve 3/2 = 9/10k (in fraction form). Please show work

Mathematics

1 answer:

Nikolay [14]3 years ago

7 0

3/2 = (9/10)k

Isolate the k. Multiply 10/9 to both sides

(3/2)(10/9) = (9/10)(10/9)k

Simplify

(3/2)(10/9) = k

3/9 = 1/3

10/2 = 5

5 x 1/3 = 5/3

k = 5/3, or 1 2/3

hope this helps

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if the humpback whales had traveled at the same rate for 32 days,how many more miles would the have traveled than the grey whale

Nataliya [291]

Answer:

192 miles more than the gray whales.

Step-by-step explanation:

first, get the rate of each whale per day. To put it in simpler terms, divide 2,240 miles by 28 to find how much the humpback whales travel in a day. next, do the same for the gray whales. I got that the humpback whales traveled 80 miles in a day and the gray whales traveled 74 in a day. Multiply 80 miles by 32 days to get the distance the humpback whales travel in 32 days (2,560 miles). Since you know the distance the Gray whales traveled in 32 days, you do not need to solve for it. Subtract 2,560-2,368 and you get 192 miles.

Hope this helped. If you can, label this answer as brainliest. Dont hesistate to ask if you have any questions. <3

6 0

3 years ago

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What is the midpoint of (-7,-9) (6,3)

Advocard [28]

Answer :

Let the first term of both the terms be $\: \sf \: x _1 \: \: \& \: \: x _2$ and last term be $\: \sf \: y _1 \: \: \& \: \: y_2\\$

Now, by using the mid point formula to find the mid point of the segment -

$\\ \sf \bigg( \frac{x_1 + x_2}{2} , \: \frac{y_1 + y_2}{2} \bigg) \\$

Now, by substituting the values of both x and y -

$\\ \sf \bigg( \frac{ - 7 + 6}{2} , \: \frac{ - 9 + 3}{2} \bigg) \\$

Adding -7 and 6 -

$\\ \sf \bigg( \frac{ - 1}{2} , \frac{ - 9 + 3}{2} \bigg) \\$

Now, move the negative in front of the fraction -

$\\ \sf \bigg( \frac{ - 1}{2} , \frac{ - 6}{2} \bigg) \\ \\ \\ \sf \bigg( \frac{ - 1}{2} , - 3\bigg) \\$

6 0

3 years ago

the length of a rectangle is five feet less than its width. If the area of the rectangle is 84 square feet, find its dimensions

KIM [24]

Let
x---------> the length of the rectangle
y--------> the width of the rectangle

we know that
A=84 ft²
[area of rectangle]=x*y-----> 84=x*y-----> equation 1
x=y-5------> equation 2
substitute 2 in 1
84=[y-5]*y-----> 84=y²-5y---------> y²-5y-84=0

using a graph tool-----> to resolve the second order equation
see the attached figure

the solution is
y=12
x=y-5-----> x=12-5-----> x=7

the answer is
the length of the rectangle is 7 ft
the width of the rectangle is 12 ft

6 0

3 years ago

5a + 3b + c= 40<br> a-3b+2c= -10<br> 14a-2b+3c= 50

aalyn [17]

Answer:

a= 40-3b-c/5

a=-10+3b-2c

a=50+2b-3c/14

Step-by-step explanation:

5a+3b+c-(3b+c)=40-(3b+c)

5a=40-3b-c

5a/5=40/5-3b/5-c/5

a= 40-3b-c/5

a-3b+2c-(3b+2c)=-10-(-3b+2c)

a=-10+3b-2c

14a-2b+3c-(-2b+3c)=50-(-2b+3c)

14a=50+2b-3c

14a/14=50/14+2b/14-3c/14

a=50+2b-3c/14

8 0

3 years ago

What function is graphed below?

erik [133]

Because the graph is shifted up three units from the original mother function (f(x) = log x), and therefore, the answer is f(x) = log x + 3.

3 0

3 years ago

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