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blsea [12.9K]
3 years ago
5

Les bought 6 pairs of shorts for s dollars each and a blazer that cost three times as much as the pair of shorts. He spent a tot

al of $139.50. How much did the blazer cost ?
Mathematics
1 answer:
cestrela7 [59]3 years ago
8 0
6 pairs of shorts, for a
"s" dollars. A blazer costs 3 times as much, she bought one. The total was 139.50

6s + 3(6s) = 139.50
6s + 18s = 139.50
25s = 139.50 Divide everything by 25,
s = 5.58, which is how much the shorts were. Now for the blazers ;

It said they were three times the cost of shorts, if shorts are 5.58, it is 3*5.58.
3s
3(5.58)
16.74

The blazer cost 16.74
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B: Alex is 12 years older than George.
UkoKoshka [18]

Answer:

The ratio of George age to Carl's age is 1:12.

Step-by-step explanation:

Let the age of George be 'g'.

Let the age of Alex be 'a'.

Also Let the age of Carl be 'c'.

Given:

The sum of their ages is 68.

So equation can be framed as;

g+a+c=68 \ \ \ \ equation 1

Also Given:

Alex is 12 years older than George.

So equation can be framed as;

a =g+12 \ \ \ \ equation \ 2

Now Given:

Carl is three times older than Alex.

c=3a

But a =g+12

So we get;

c = 3(g+12) \\\\c= 3g+36 \ \ \ \ equation \ 3

Now Substituting equation 2 and equation 3 in equation 1 we get;

g+a+c=68\\\\g+g+12+3g+36=68\\\\5g+48=68

Subtracting both side by 48 using subtraction property of equality we get;

5g+48-48=68-48\\\\5g=20

Now Dividing both side by 5 using Division property of equality we get;

\frac{5g}{5}=\frac{20}{5}\\\\g =4

Hence George age g = 4 \ years

Now Alex age a=g+12 = 4+12 =16\ years

Also Carl's age c=3g+36=3\times 4+36 =12+36 =48\ years

Now we need to find the ratio of George age to Carl's age.

\frac{g}{c}=\frac{4}{48} = \frac{1}{12}

Hence  the ratio of George age to Carl's age is 1:12.

3 0
3 years ago
Can somebody please help me with these two questions?
vovikov84 [41]
The answer to 25. is A
and 
to 26. is C (I'm not sure on this one but i think this is the answer)
6 0
3 years ago
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Sam saw 2 bottles of ketchup at the store for the same price. One bottle contained 4 pints of ketchup and the other contained 1.
Ilia_Sergeevich [38]
I do believe that it's the bottle with the 4 pints of ketchup. 4 pints is 2 quarts 
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3 years ago
Simplify: 8.2c−0.9+(5.4−18d+7.2c)÷0.06
maxonik [38]
8.2c−0.9+(5.4−18d+7.2c)÷0.06   Distribute:<span>  =<span><span><span><span><span><span><span>8.2c</span>+</span>−0.9</span>+<span>120c</span></span>+</span>−<span>300d</span></span>+<span>90

</span></span></span>   <span>=<span><span><span>(<span><span>8.2c</span>+<span>120c</span></span>)</span>+<span>(<span>−<span>300d</span></span>)</span></span>+<span>(<span><span>−0.9</span>+90</span>)</span></span></span><span>   =<span><span><span>128.2c</span>+<span>−<span>300d</span></span></span>+89.1</span></span> Answer:<span>=<span><span><span>128.2c</span>−<span>300d</span></span>+<span>89.1</span></span></span>

5 0
3 years ago
Line CD passes through points C(3, –5) and D(6, 0). What is the equation of line CD in standard form?
kiruha [24]

The equation of line CD in standard form is: B. 5x - 3y = 30

<h3>How to determine the equation of line CD in standard form?</h3>

Mathematically, the standard form of the equation of a straight line is given by this mathematical expression (linear function);

y = mx + c

Where:

  • x and y are the points.
  • m represents the slope, gradient, or rate of change.
  • c represents the intercept.

Next, we would determine the slope of this line by using this formula:

Slope, m = Δy/Δx

Slope, m = Change in y-axis/Change in x-axis

Slope, m = (0 + 5)/(6 - 3)

Slope, m = 5/3

At point (6, 0), the point-slope equation of the line is given by:

y - y₁ = m(x - x₁)

y - 0 = 5/3(x - 6)

y = 5x/3 - 30/3

y = 5x/3 - 10

Multiplying all through by 3, we have:

3y = 5x - 30

Rearranging the equation, we have:

5x - 3y = 30

Read more on slope here: brainly.com/question/7748981

#SPJ1

4 0
1 year ago
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