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3 years ago

A parallelogram with perpendicular diagonals is a

Mathematics

1 answer:

Anestetic [448]3 years ago

8 0

Rhombus. The diagonals of a rhombus are parallel, and each diagonal bisect two angles of the rhombus.

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Marissa wants to blend candy selling for $1.40 per pound with candy costing $2.90 per pound to get a mixture that costs her $2.0

fiasKO [112]

Answer:

30 lb of $1.80 candy

60 lb of $1.20 candy

Step-by-step explanation:

It generally works well to let a variable represent the quantity of the most-expensive contributor. Here, we can let x represent pounds of $1.80 candy.

Then 90-x will be pounds of $1.20 candy, and the total cost of the mix will be ...

1.80x + 1.20(90-x)

We want that to be the same value as 90 pounds of $1.40 per pound mix, so the equation is ...

1.80x + 1.20(90 -x) = 1.40(90)

This can be simplified and solved like any two-step linear equation.

0.60x + 108 = 126 . . . . . simplify

0.60x = 18 . . . . . . . . . . . .subtract 108

x = 30 . . . . . . . . . . . . . . . divide by 0.60. This is pounds of $1.80 candy

90-x = 60 . . . . . pounds of $1.20 candy

30 pounds of candy priced at $1.80 per pound, and 60 pounds of candy priced at $1.20 per pound should be used to make a mix that costs $1.40 per pound.

Mark me Brainliest please!

5 0

3 years ago

Read 2 more answers

How would you do this?

alexdok [17]

Answer:

She should add five cups of water.

Step-by-step explanation:

The two parts are equal to 2 cups, so five parts would be equal to 5 cups. Hope this helps!

6 0

4 years ago

Read 2 more answers

A car on a racetrack drove 98 miles in 60 minutes. How far did it drive in 12 minutes? Round the the nearest tenth when necessar

Alborosie

Answer:

19.6 miles in 12 minutes.

Step-by-step explanation:

first take 60, then divide it by 12.

60÷12=5

then take 98 and divide that by 5

98÷5=19.6

3 0

3 years ago

A fire hydrant with a blue cap provides water at a rate of 1,500 gallons per minute. A fire hydrant with a green cap provides wa

lapo4ka [179]

Answer:

a) 2b = 3g

b) 3p = b

Step-by-step explanation:

Given:

Fire hydrant with a blue cap, b, provides water at a rate = 1500 gallons per min

Fire hydrant with a green cap, g, provides water at a rate = 1000 gallons per min

Fire hydrant with a purple cap, p, provides water at a rate = ½g = $\frac{1}{2}*1000 = 500$

a) The equation to relate the flow of water from the blue hydrant, b, to the flow from the green hydrant, g.

Given flow of blue hydrant, b = 500

Simplifying, we have:

b = 3*500

$b = 3 * \frac{1000}{2}$

Since the flow rate of green hydrant, g, is 1000, let's replace 1000 with g above.

Therefore,

$b = 3 * \frac{g}{2}$

$b = \frac{3}{2}g$

Cross multuply

$2b = 3g$

The equation to relate the flow of water from the blue hydrant, b, to the flow from the green hydrant, g is 2b=3g.

b) An equation to relate the flow of water from the purple hydrant, p, to the flow from the blue hydrant, b.

Given flow rate of purple hydrant, p = 500

It could also be re-written as:

$\frac{3}{3} * 500$

$p = \frac{1500}{3}$

Since the flow rate of blue hydrant, b, is 1500, let's replace 1500 with b above.

$p = \frac{b}{3}$

Cross multiply

3p = b

8 0

3 years ago

The table below shows the ticket rates for whale watching trips offered by Ocean Tours. AgeTicket Price. Under three yearsfree.

Kisachek [45]

If there are 40 children aged twelve and under and x of them are under three years old, 40 - x aged three twelve years old. From the 92 people that where taken by the company on whale watching trips, 52 are over twelve years old. The equation that best show the total cost, C is
(40 - x)(36) + (52)(48) = C
Rearranging the equation gives,
x = 40 - ((C - 2496)/ 36)

8 0

3 years ago