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ehidna [41]
3 years ago
6

Melanie counted her heartbeats after running her marathon. In 20 seconds, she counted 53 heartbeats. At

Mathematics
1 answer:
Elis [28]3 years ago
8 0

Answer:

159

Step-by-step explanation:

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Find the surface area of each figure?Please help
kolbaska11 [484]
--------------------------------------------------
Surface area of the cube
--------------------------------------------------
6(2.5 x 2.5) = 37.5m²

<em>(* Each area is 2.5 x 2.5, and there are 6 sides to the cube)</em>

--------------------------------------------------
Surface area of the rectangle prism
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2(11 x 7) + 2(9 x 7) + 2(9 x 11) = 478m²

<em>(* The opposite side of the rectangle area is the same, therefore x2)
</em>
--------------------------------------------------
Overlapping area
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2.5 x 2.5 = 6.25m²

--------------------------------------------------
Surface area of the composite figure
--------------------------------------------------
37.5 + 478 - 2(6.25) = 503m²

<em>(* The bottom of the cube and the top of the rectangle prism overlapped, so the area is overlapped twice, minus 2 times of that area)</em>

--------------------------------------------------
Answer: 503m²
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4 0
3 years ago
What is the solution to the system of equations below?
katen-ka-za [31]

4x  - y =  - 5 \\  - 2x + y = 3

Solve the second equation for y

4x - y =  - 5 \\ y = 3 + 2x

Substitute the given value of y into the first equation

4x - (3 + 2x) =  - 5

Solve the equation for x

x =  - 1

Substitute the given value of x into the second equation

y = 3 + 2( - 1)

Solve the equation for y

y = 1

The possible solution of the system is the ordered pair (x,y)

(x,y) = ( - 1, 1)

7 0
3 years ago
Which phrases describe the graph of f(x) = |x| ? Check all that apply.
Sav [38]
The answers are:

A) V-Shaped (because absolute value graphs are v-shaped)
C) Opens up (because the leading coefficient is positive)
F) Symmetric with respect to the y-axis (if you look at the graph y= |x|, you see that the y-axis cuts through the middle of the "v-shape", and that it is symmetric)

4 0
3 years ago
Read 2 more answers
There are 3785 mL in 1 gallon.There are 4 quarts in 1 gallon. How many mL are in a quart
sattari [20]

Answer:

946.353

Step-by-step explanation:


4 0
3 years ago
Jason, Kendra, and Amanda collect stamps. Jason has x stamps. Kendra has 12 stamps more than Jason. Amanda has three times as ma
ASHA 777 [7]

Answer:

15

Step-by-step explanation:

123=x+x+12+(x+12)*3

123=5x+48

75=5x

15=x

5 0
3 years ago
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