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2 years ago

Yesterday a car rental agency rented 4 convertibles and 30 other vehicles. Considering this

Mathematics

2 answers:

baherus [9]2 years ago

8 0

Answer:

8 convertibles

Step-by-step explanation:

Well, first we are going to assume the ratio for the convertibles and non-convertibles are the same.

So the company rented 4 convertibles and 30 others.

This makes the ratio 4:30

30+4=34 68 is double of 34 so it is logical to double the ratio to get 8:60. So that means there should be 8 convertibles.

I hoped this helped.

natulia [17]2 years ago

4 0

30 other vehicles + 4 convertibles = 34 cars

34 * 2 = 68

30 * 2 other vehicles + 4 * 2 convertibles = 68 cars
60 other vehicles and 8 convertibles

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3 years ago

Write the word sentence as an equation. 12 less than a number m equals 20.

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3 years ago

Drag each set of side lengths to show whether they can or cannot make a triangle, or if there is not enough information to tell.

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3 years ago

Find the exact volume of the cylinder.

Verizon [17]

Answer:

$\boxed {\boxed {\sf C. \ 200 \pi \ ft^3}}$

Step-by-step explanation:

We are asked to find the volume of the cylinder. The formula for calculating a cylinder's volume is:

$v= \pi r^2 h$

We know the height of the cylinder is 8 feet. We are given the diameter, the distance from edge to edge through the center. We want to find the radius, the distance from the edge to the center.

The radius is half the diameter.

r = d/2
r= 10 ft/2
r=5 ft

We know both variables (h= 8ft and r=5 ft) and can substitute them into the formula.

$v= \pi (5 \ ft)^2 * (8 \ ft)$

Solve the exponent.

5 ft * 5ft = 25 ft²

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Multiply the numbers in parentheses.

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3 years ago

This question is down below. The picture attached below. <br> Thanks.

Ostrovityanka [42]

The vendor has to sell 88 gingerbread houses to earn a profit of $665.60 and there is no chance that the vendor will earn $1500.

Given an equation showing profits of A Christmas vendor as

P=-0.1 $g^{2}$ +30g-1200.

We have to find the number of gingerbread houses that the vendor needs to sell in order to earn profit of $665.60 and $1500.

To find the number of gingerbread houses we have to put P=665.60 in the equation given which shows the profit earned by vendor.

665.60=-0.1 $g^{2}$ +30g-1200

0.1 $g^{2}$ -30g+1200+665.60=0

0.1 $g^{2}$ -30g+1865.60=0

Divide the above equation by 0.1.

$g^{2}$ -300g+18656=0

Solving for g we get,

g=[300± $\sqrt{(300)^{2}-4*1*18656 }$ ]/2*1

g=[300± $\sqrt{90000-74624}]/2$

g=[300± $\sqrt{15376}$ ]/2

g=(300±124)/2

g=(300+124)/2 , g=(300-124)/2

g=424/2, g=176/2

g=212,88

Because 212 is much greater than 88 so vendor prefers to choose selling of 88 gingerbread houses.

Put the value of P=1500 in equation P=-0.1 $g^{2}$ +30g-1200.

-0.1 $g^{2}$ +30g-1200=1500

0.1 $g^{2}$ -30g+1500+1200=0

0.1 $g^{2}$ -30g+2700=0

Dividing equation by 0.1.

$g^{2}$ -300g+27000=0

Solving the equation for finding value of g.

g=[300± $\sqrt{300^{2} -4*1*27000}$ ]/2*1

=[300± $\sqrt{90000-108000}] /2$

=[300± $\sqrt{-18000}$ ]/2

Because $\sqrt{-18000}$ comes out with an imaginary number so it cannot be solved for the number of gingerbread houses.

Hence the vendor has to sell 88 gingerbread houses to earn a profit of $665.60 and there is no chance that the vendor will earn $1500.

Learn more about equation at brainly.com/question/2972832

#SPJ1

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2 years ago