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Sergeeva-Olga [200]
3 years ago
7

Of 12000 applicants to Carver college, 1/3 were accepted and 3/8 of those decided to attend. How many of the original applicants

decided to attend the college
Mathematics
1 answer:
ladessa [460]3 years ago
8 0

Answer:

total  \: applicants \:  = 12000 \\ number \: of \: applicants \: who \: were \: accepted =  \frac{1}{3}  \times 12000 \\  = 4000 \\ number \: of \: applicants \: who \: decided \: to \: attend \: the \: college =  \frac{3}{8}  \times 4000 \\  = 1500

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Answer:

B

Step-by-step explanation:

The formula for the area of a triangle is given as:

A = ½*base*height

A = ½*b*h

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If we know the area (A) and the base, to find the height, the following would be done:

Divide both sides by b

A/b = h/2

Multiply both sides by 2

\frac{A}{b} * 2 = h

As we can see here, to find the base, we would divide the area by the vase, then multiply what we get by 2.

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What percent of 600 is 3 3/4?
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When 4 times the number x is added to 12, the result is 8. What number results when 2 times x is added to 7 ?
Bumek [7]
<h2><u>Given </u><u>:</u><u>-</u></h2>

  • <u>\bf4 \: times \: a \: number \: x \: is \: added \: to \: 12 \\ \bf the \: result \: is \: 8</u> ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎
  • \bf⟹ \: 4x + 12 = 8

\large\bf{\underline{We\:have\:to\:find:-}}

  • \bf\:The \: number \: results \: when \: 2 \: times \: x  \\ \bf is \: added  \: to \: 7
  • \bf ⟹\: 2x + 7 =  ?

\large\bf{\underline{To \:find\:the\:value\:of\:x}}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹4x + 12 = 8

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹4x = 8 - 12

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹4x =  - 4

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹x =  \frac{ - 4}{4}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹x =  - 1

\large\bf{\underline{Putting\:the\:value\:of\:x\:in\:2x+7}}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎=2x + 7

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎=2( - 1) + 7

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎= - 2 + 7

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎= 5

__________________________________________

\large\bf{\underline{Hence}}

\huge{2x + 7}

\huge{=5}

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In her last basketball season, Marcie made 40% of 55 field goal attempts.
Tomtit [17]
We know that
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Answer:

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Slope intercept form a equation of a line is given by the following formula:

Slope intercept form:

y=mx+c

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x=-4,\\y=-4

Slope, m =\frac{5}{4}

Putting the given values in the Slope intercept form equation:

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Putting the value of c and m in the slope intercept form:

y=\dfrac{5}{4}x+1

3 0
2 years ago
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