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3 years ago

Can you help me solve this word problem?

Mathematics

2 answers:

WITCHER [35]3 years ago

3 0

I hope this helps you

if 18 gallons for 420 miles

? gallons for 357 miles

?.420=18.357

?=15,3

o-na [289]3 years ago

3 0

What you need to do is find out how many miles he got per gallon. Do this by dividing 420 by 18. You get 23.33333, so about 23 miles per gallon. So now that you know you get 23 miles per gallon, divide 357 by 23 to find how many gallons. You get 15.52. So I would round it up to 16. Does this help? Do you need more clarification?

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The sum of two numbers is 75. The second number is 3 less than twice the first

Mandarinka [93]

Answer:

$\large{\textbf{The two numbers are: 26 and 49}.\\}$

Step-by-step explanation:

$\large{\textup{assume the two numbers are $x$ and $y$.}}\\\large{\textup{The given sentences are written in mathematical terms as follows:}\\$$ x + y = 75 \hspace{25mm} (1)$$ $$ y = 2x - 3 \hspace{25mm} (2) $$ \\\textup{Substituting $(2)$ in $(1)$,}\\\begin{align*} & \implies x + 2x - 3 = 75 \\& \implies 3x = 78 \\& \implies x = 26\end{align*}\textup{Substituting $x$ in $(1), \hspace{5mm} y = 49$} }$

7 0

3 years ago

Item 12

Akimi4 [234]

y -3x =1

add 3x to each side

y = 3x+1

The coefficient for x is 3 and the constant is 1

3 0

3 years ago

The mean of this data set is 9. What number is missing?<br><br> 11,20,_,3,1

kherson [118]

Let the missing number be x

Mean is the total sum of data over the number of data therefore,

(11+20+x+3+1) / 5 = 9
Then simplify
(35 + x) / 5 = 9
Then multiply 5 to both sides
35 + x = 45
Then subtract 35 to both sides to find x
X= 10

Hope this helps!

7 0

2 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

What value makes the equation true? 2(x-5)=20

SashulF [63]

2(x-5)=20

Divide both sides by 2 (division of property equality)

x - 5 = 10

Add 5 to both sides (addition of property equality)

x = 15

Answer

x = 15 is the solution

6 0

3 years ago