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3 years ago

A used car lot sold 15 SUVs last month, along with 80 other vehicles. Considering this

Mathematics

1 answer:

sergiy2304 [10]3 years ago

7 0

Answer:

Step-by-step explanation:

First, find the total number of vehicles sold.

15 SUVs were sold, and 80 others were sold

15+80

So, 95 vehicles were sold in total.

Now we can make a proportion

15 out of 95 vehicles were SUVs, and we can expect x out of 76 vehicles to be SUVs

15/95=x/76

Cross multiply

95*x=15*76

95x=1140

To solve for x, we need to get x by itself. Since x is being multiplied by 95, divide both sides by 95. This will cancel out the 95, and leave x isolated.

95x/95=1140/95

x=12

So, 12 out 76 vehicles should be SUVs

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Jim is enclosing a rectangular garden with 170 feet of fencing. The length of the garden is 10 feet more than twice it’s width,

Darina [25.2K]

Answer:

$1,500\ ft^2$

Step-by-step explanation:

Let

L ----> the length of the rectangular garden in feet

w ---> the width of the rectangular garden in feet

step 1

Find the width

we know that

The perimeter of the rectangular garden is

$P=2(L+W)$

$P=170\ ft$

$170=2(L+W)$

Simplify

$85=(L+W)$ ----> equation A

$L=2W+10$ ----> equation B

substitute equation B in equation A and solve for W

$85=(2W+10+W)$

$85-10=3W$

$3W=75$

$W=25\ ft$

Find the value of L

$L=2(25)+10=60\ ft$

step 2

Find the area

we know that

The area of the rectangular garden is

$A=(LW)$

substitute the values

$A=(60)(25)=1,500\ ft^2$

6 0

2 years ago

Solve by factorising <img src="https://tex.z-dn.net/?f=x%5E%7B2%7D" id="TexFormula1" title="x^{2}" alt="x^{2}" align="abs

Paladinen [302]

Step-by-step explanation:

$\underline{ \underline{ \text{Solving \: a \: quadratic \: equation \: by \: factorisation \: method}}} :$

In this method , the second order of polynomial ax² + bx + c is factorised and expressed as the product of two linear factors. Then each linear factor is separately solved to get the required solutions of the equation by applying zero factor property. In zero factor property , if p•q = 0 , then either p = 0 or q = 0 . In other words , if the product of two numbers is 0 , then one or both of the numbers must be 0.

$\underline{ \underline{ \text{Let's \: solve}}} :$

$\tt{ {x}^{2} + 16x + 55 = 0}$

Here , we have to find the two numbers that multiplies to 55 and adds to 16.

⤑ $\tt{ {x}^{2} + (11 + 5)x + 55 = 0}$

⤑ $\tt{ {x}^{2} + 11x + 5x + 55 = 0}$

⤑ $\tt{x(x + 11) + 5(x + 11) = 0}$

⤑ $\tt{(x + 5)(x + 11) = 0}$

Either :

$\tt{x + 5 = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: Or : \: \: x + 11 = 0}$

$\sf{⟶ x = 0 - 5} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:⟶ x = 0 - 11$

$\tt{⟶x = - 5 } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:⟶ x = - 11$

$\red{ \boxed{ \boxed{ { \tt{Our \: final \: answer : \boxed{ \underline{ \bold{ \tt{x = - 5 \: , - 11}}}}}}}}}$

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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2 years ago

Divide. −2 4/7 Enter your answer as a mixed number, in simplified form, in the box.

Katarina [22]

Answer:
-3 $\frac{3}{7}$

Explanation:
$\frac{-24}{7}$ = -3 $\frac{3}{7}$
So first make the improper fraction into a mixed number by taking out all the whole numbers from the numerator (3) and making sure the proper sign is in front of the answer (- 3) your remainder is the original numerator minus the product of the answer times the denominator: 24 - (3 • 7) = 24 - 21 = 3. Rewrite the mixed number.

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2 years ago

What is the sum of the expressions for n=-2n=−2 and m=5m=5 ?

Liula [17]

Answer:

- 43

Step-by-step explanation:

Expression: (3m+2n−6) and (−4−6m+7n)

n= -2 and m=5

Before inserting the values, let's add both expressions.

(3m+2n−6) + (−4−6m+7n)

3m+2n−6 −4 − 6m + 7n

-3m + 9n - 10

Inserting the values;

-3(5) + 9(-2) - 10

-15 - 18 -10

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3 years ago

Convert 5.00 inches to centimeters

tensa zangetsu [6.8K]

Answer:

5 inches x 2.54 = 12.7 cm

Step-by-step explanation:

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therefore, 5 inches x 2.54cm = 12.7cm

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3 years ago