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NeX [460]
2 years ago
7

Solve the letter f question please

Mathematics
1 answer:
olga2289 [7]2 years ago
8 0

Answer:

  3 79/100

Step-by-step explanation:

  3\dfrac{1}{5}+2\dfrac{1}{5}\div\dfrac{5}{11}-3\dfrac{2}{5}\times\left(-1\dfrac{1}{4}\right)\qquad\text{given}\\\\=\dfrac{16}{5}+\left(\dfrac{11}{5}\cdot\dfrac{11}{5}\right)-\left(\dfrac{17}{5}\cdot\dfrac{5}{4}\right)\\\\=\dfrac{16}{5}+\dfrac{121}{25}-\dfrac{17}{4}=\dfrac{320+484-425}{100}=\dfrac{379}{100}\\\\=\boxed{3\dfrac{79}{100}}

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Lucy drove387 miles using 18 gallons of gas.at this rate how many miles would she drive using 11 gallons of gas
Nata [24]

Answer:

236.5 miles

Step-by-step explanation:

Because it is 21.5 miles per one gallon of gas.

You divide 387 by 18 to get 21.5 then multiply 21.5 by 11

4 0
3 years ago
 A contractor purchases 6 dozen pairs of padded work gloves for ​$87.12. She incorrectly calculates the unit price as ​$14.52 pe
artcher [175]

So, there are 6 dozen pairs of gloves. That amount of gloves costed $87.12. She calculated the amount per pair as 14.52. This was incorrect because she forgot about the majority of the 6 dozen(one dozen is the number 12). So that means there are not 6 pairs of gloves, in fact, there are 72 pairs of gloves. So, now that we have that number, we can <u>correctly</u> calculate the amount of gloves per pair. Now we have 2 answers. The amount per glove and the amount per pair

Answer 1: Each pair of gloves costs $1.21.

Answer 2: Each individual glove costs 61¢<em>(if there is a number under the hundredths place in the price, like in the thousandths, you </em><em>always</em><em> round upwards, in this case, the cost was .605, but you round up, making it 61¢)</em>

4 0
3 years ago
Using the net below, find the surface area of the triangular prism.
Sveta_85 [38]

160 i believe. to find the area of a triangle act like its a square and divide in half. for squares multiply base by height.

take the area of each shape and add it up

8 0
2 years ago
For what value of “a”are the graphs of 5y = -2x + 10 and 3y = aX- 15 parallel
Pie

Answer:

a = -6/5

Step-by-step explanation:

For the graphs to be parallel the graphs should have same slope(m)

So we rewrite both our equations in the slope-intercept form then compare the slope to find the value of a like this,

y=mx+b

This equation is the slope-intercept form we convert both our equations in this form firstly taking equation 1

5y=-2x+10\\\\y=\frac{-2x+10}{5} \\\\y=\frac{-2}{5}x+\frac{10}{5} \\\\y=\frac{-2}{5}x+2

so if we compare it with y = mx + b the coefficient of x is m and hence

m= -2/5 now solving for equation 2

3y=ax-15\\\\y=\frac{ax-15}{3} \\\\y=\frac{ax}{3}-\frac{15}{3}  \\\\y=\frac{a}{3}x-5\\\\

so here if we compare it with y = mx + b the coeffienct of x is a/3 so since parallel lines have same slope by the formula:

m_1=m_2

we equation both the slope to each other to find the value of a like this,

m_1=m_2\\\\\frac{-2}{5}=\frac{a}{3}\\\\-2(3)=a(5)\\\\-6=5a\\-6/5=a

so the value of a equals

a= -6/5

8 0
2 years ago
1/4 times the sum of a number and −3.2 is 1.8. What is the number?
joja [24]

Answer:

10.4

Step-by-step explanation:

Let the number be x

Sum of  x  and -3.2 : x + (-3.2) = x - 3.2

1/4 times the sum of a number and −3.2 = (1/4) * (x - 3.2)

\dfrac{1}{4}* \left( x - 3.2 \right) = 1.8\\\\\Multiply \ the \ whole \ equation \ by \ 4 \\\\4*\dfrac{1}{4} *(x - 3.2) = 1.8*4\\\\\\x - 3.2 = 7.2\\\\Add \  3.2 \ to \ both \ sides\\\\\\x = 7.2 + 3.2\\

x = 10.4

5 0
2 years ago
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