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3 years ago

The sum of two numbers is 36 . The larger number is 22 more than the smaller number. What are the numbers?

1 answer:

4 0

X + y = 36
x = y + 22

y + 22 + y = 36
2y + 22 = 36
2y = 36 - 22
2y = 14
y = 14/2
y = 7

x + y = 36
x + 7 = 36
x = 36 - 7
x = 29

so ur 2 numbers are : 7 and 29

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Solve the compound inequality 8 < 3 - 5x < 18

otez555 [7]

Answer:

−1 > x > −3

Step-by-step explanation:

Let's solve your inequality step-by-step.

8<3−5x<18

6 0

3 years ago

If Andrew spends 90 cents per litre and he goes 100km within 8.8 litres how far will $20 get him

dalvyx [7]

It will get him to 252.5km

6 0

2 years ago

A reflecting pool is shaped like a right triangle, with one leg along the wall of a building. The hypotenuse is

maria [59]

Answer:

8 ft, 15 ft, 17 ft

Step-by-step explanation:

Let x feet be the length of the side along the building. If the hypotenuse is 9 feet longer than the side along the building, then the length of the hypotenuse is x+9 feet. If the third side is 7 feet longer than the side along the building, then the length of the third side is x+7 feet.

This triangle is right triangle. By the Pythagorean theorem,

$x^2+(x+7)^2=(x+9)^2,\\ \\x^2+x^2 +14x+49=x^2+18x+81,\\ \\x^2-4x-32=0,\\ \\D=(-4)^2-4\cdot 1\cdot (-32)=16+128=144,\\ \\x_{1,2}=\dfrac{-(-4)\pm\sqrt{144}}{2\cdot 1}=\dfrac{4\pm12}{2}=-4,\ 8.$

The length of the side cannot be negative, thus x=8 ft. Then x+7=15 ft, x+9=17 ft.

8 0

2 years ago

The length of a rectangle is 3 times the width.the permitted of the rectangle is 72ft find the dimensions of the rectangle

ArbitrLikvidat [17]

Lets set up the relationship of the length to width:

l = 3w

Using this, we can make all the variables the same by substitution:

2l + 2w = perimeter
2l + 2w = 72
2(3w) + 2w = 72
6w + 2w = 72
8w = 72
w = 9

The width is 9, to the length must be 9*3, or 27.

Hope this helped!

4 0

3 years ago

The following frequency table summarizes yesterday's orders at Sizzlin' Skillets.

Arlecino [84]

Answer:

the probability that the ext order will be shrimp = 27.78%

Step-by-step explanation:

Vegetable 333

Chicken 666

Pork 222

Beef 222

Shrimp 555

total = 1,998

P (shrimp) = 555 / 1,998 = 0.2777 or 27.78%

in case the numbers in the orders were:

Vegetable 3

Chicken 6

Pork 2

Beef 2

Shrimp 5

total = 18

P (shrimp) = 5 / 18 = 0.2777 or 27.78%

The probability of an event happening is just the number of times that event occurred divided by the total number of events that took place.

6 0

2 years ago

Read 2 more answers