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3 years ago

Maritza's car has 16 gallons of gas in the tank. She uses 3/4 of the gas. How many gallons of gas does Maritza use?

Mathematics

1 answer:

Savatey [412]3 years ago

5 0

Find 3/4 of 16.

16 * 3/4

48/4

12

So she uses 12 gallons of gas.

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What is the total surface area

Stels [109]

We have two right triangles and three different rectangles.

The formula of an area of a right triangle:

$A_T=\dfrac{1}{2}l_1l_2$

l₁, l₂ - legs

We have l₁ = 20cm and l₂ = 21cm. Substitute:

$A_T=\dfrac{1}{2}(20)(21)=(10)(21)=210\ cm^2$

The formula of an area of a rectangle:

$A_R=lw$

l - length

w - width

We have:

rectangle #1: l = 22cm, w = 29cm

$A_{R1}=(22)(29)=638\ cm^2$

rectangle #2: l = 22cm, w = 21cm

$A_{R2}=(22)(21)=462\ cm^2$

rectangle #3: l = 22cm, w = 20cm

$A_{R3}=(22)(20)=440\ cm^2$

The total Surface Area of the triangular prism:

$S.A.=2A_T+A_{R1}+A_{R2}+A_{R3}\\\\S.A.=2\cdot210+638+462+440=1960\ cm^2$

3 0

3 years ago

An athletic field is a 48 yd-by-96 yd rectangle, with a semicircle at each of the short sides. A running track 20 yd wide surr

MA_775_DIABLO [31]

The distance would be equal to 2 times the longest side of the rectangle plus twice the shortest side multiplied by pi / 2 for the semicircle, that is:

longest side 96 and shortest 48

D = 2 * (96) + 2 * (1/2) * pi * 48

D = 192 + pi * 48

This shorter side, which starts at 48, will expand each time by two more in proportion to 20 of the running track between 8 than the number of divisions, that is, 2 * (20/8) = 5

In other words, there are 8 distances, like this:

D1 = 192 + 3.14 * 48 = 342.72 yd

D2 = 192 + 3.14 * (48 + 5) = 358.42 yd

D3 = 192 + 3.14 * (48 + 10) = 374.12 yd

D4 = 192 + 3.14 * (48 + 15) = 389.82 yd

D5 = 192 + 3.14 * (48 + 20) = 405.52 yd

D6 = 192 + 3.14 * (48 + 25) = 421.22 yd

D7 = 192 + 3.14 * (48 + 30) = 436.92 yd

D8 = 192 + 3.14 * (48 + 35) = 452.62 yd

6 0

3 years ago

There are 276 students.

Lynna [10]

Step-by-step explanation:

Number of males is

276 - 158 = 118

Number of males not enrolled

118 - 82 = 36

Number of females not enrolled

158 - 102 = 56

(a)

The table based on data is

Enrolled Not enrolled Total

Male 82 36 118

Female 102 56 158

Total 184 92 276

(b)

Percentage of students were males that went to magic college

enrolled male / total students = (use table above)
82/276*100% = 29.71% (rounded)

(c)

Percentage of females went to magic college

enrolled female / total female = (use table above)
102/158*100% = 64.56% (rounded)

7 0

2 years ago

Given f (x)=-3x+4 what is f (-4) a.-40 b.-22 c.-1 d.40

FinnZ [79.3K]

F(x)=-3(x)+4
Therefore this implies that we must put the -4 where we see an X on the equation
F(-4)=-3(-4)+4
=16

6 0

3 years ago

imagine you live only one mile from work and you decide to walk. if you walk four miles per hour, how long will it take you to w

fiasKO [112]

Answer:the distance to work is 1 mile and you can walk at 4 miles per hour, then you can walk 1 mile in ¼ hr = 15 minutes

Step-by-step explanation:

Dylan,

If the distance to work is 1 mile and you can walk at 4 miles per hour, then you can walk 1 mile in ¼ hr = 15 minutes.

To set up the "equation" think about it this way: (1 mile/ t) = (4 mile/ 1 hr)

so 1/t = 4/1 hr

now multiply both sides by t to get 1 = t·(4/1 hr), next divide both sides by (4/1 hr)

t = 1/(4/ 1 hr) = 1 hr/4 = ¼ hr = 15 min.

8 0

3 years ago

Read 2 more answers