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2 years ago

The ratio of passenger cars to cargo cars in

Mathematics

1 answer:

gayaneshka [121]2 years ago

4 0

Answer:

126

Step-by-step explanation:

the number of cargo cars is represented by the 35 part of the ratio , then

105 ÷ 35 = 3 ← value of 1 part of the ratio , then

passenger cars = 7 × 3 = 21

total cars = 105 + 21 = 126

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Do problem 5 show work i will mark brainliest!!!!!

Fittoniya [83]

Answer:

Step-by-step explanation:

The sides of the park measure 30 m and 40 m. They form the sides of a rectangle. The length of the path is along the length and width of the park, so by going along the path, the distance is

30 m + 40 m = 70 m

Going through the park, you walk in a straight line from the park to the home along a diagonal of the rectangle. That diagonal is a hypotenuse of a right triangle whose sides measure 30 m and 40 m. We use the Pythagorean theorem to find the length of the diagonal.

a^2 + b^2 = c^2

Let the legs of the right triangle be a and b. Let the hypotenuse be c.

(30 m)^2 + (40 m)^2 = c^2

900 m^2 + 1600 m^2 = c^2

c^2 = 2500 m^2

Take the square root of each side.

c = 50 m

The direct path from the school to the house is 50 m.

Difference: 70 m - 50 m = 20 m

Answer: You save 20 m.

8 0

3 years ago

Read 2 more answers

Karen wants to find the surface area of this prism.

andrew11 [14]

Ft2 (squared) hope it helps

3 0

3 years ago

Liev is assembling a coffee table. The diagram below is from the instruction manual and shows the table after the first two legs

elixir [45]

Answer:

The support is 41 inches long.

Step-by-step explanation:

There's two ways we can do this: one with the diagonal formula and one without.

Since we know that Point C is halfway down leg A and that the table legs are 18 inches tall, Point C is 9 inches down leg A. The support, from Point C to Point D, will form a diagonal, the length of which we need to find. We know from the diagram that the width of the table is 24 inches and that its length is 32 inches. We have a height, length, and width for this problem, so let's imagine a rectangular prism, which has all three of those things, instead of a table. The formula for finding a rectangular prism's diagonal is $d = \sqrt{l^{2} + w^{2} + h^{2} }$ . Let's put in those numbers:

$d = \sqrt{32^{2} + 24^{2} + 9^{2} } = 41$

Therefore, the support is 41 inches long.

--------------------------------------------------------------------------------------------------------------

Another way you can do this is to use the Pythagorean Theorem twice: once to find the diagonal of the tabletop and another time for the support.

$24^{2} + 32^{2} = c^{2} \\576 + 1024 = c^2\\1600 = c^2\\\sqrt{1600} = \sqrt{c^2}\\ 40 = c$

Now that we know the corner-to-corner distance for the tabletop, we'll use that and the 9 inch distance for Point C to find the distance between C and D:

$9^{2} + 40^{2} = c^{2}\\ 81 + 1600 = c^2\\1681 = c^2\\\\sqrt{1681} = \sqrt{c^2} \\41 = c$

Again, the support is 41 inches long.

4 0

3 years ago

Naomi has earned $54 mowing lawn the past few days. She worked 2 1/2 hours yesterday and 4 1/4 hours today. If Naomi is paid the

marysya [2.9K]

The answer is $8 per hour. To get this you add the 2 1/2 and 4 1/4 and that equals 6 3/4 or 6.75. You then divide 54 by 6.75 and you get 8.

8 0

3 years ago

Solve the following new equation

mixer [17]

Answer:

<h3>x = 1.54 or x = - 4.54 to 2 decimal places</h3>

Step-by-step explanation:

x² + 3x - 7 = 0

Using the quadratic formula

a = 1 b = 3 c = - 7

$x = \frac{3 ± \sqrt{ {3}^{2} - 4(1)( - 7) } }{2(1)} \\ x = \frac{ - 3± \sqrt{9 + 28} }{2} \\ \\ x = \frac{ -3 ± \sqrt{37} }{2} \\ \\ x = \frac{ - 3 + \sqrt{37} }{2} \: \: \: \: \: or \: \: \: x = \frac{ - 3 - \sqrt{37} }{2} \\ \\ x = 1.54 \: \: \: or \: \: x = - 4.54$

Hope this helps you

7 0

3 years ago