All categories

2 years ago

U=[Whole numbers from 1 to 14 inclusive]

Mathematics

1 answer:

swat322 years ago

3 0

Answer:

U=[2,3,4,5,6,7,8,9,10,11,12,13,14]

B=[4,6,8,10,12]

C=[3,6,9,12]

This is only how much ik but i hope this helps!:)

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Category Value ($)

Sladkaya [172]

Answer:

Option c. $2,250

Step-by-step explanation:

we know that

The minimum household income needed for the given budget, must be equal at least to the sum of all categories values of the monthly budget

Find the sum of all categories values

$\$1,100+\$500+\$100+\$100+\$150+\$100+\$50+\$150=\$2,250$

therefore

The minimum household income needed for this budget is $2,250

3 0

3 years ago

This trapezoid is made up of two right triangles and one rectangle.

artcher [175]

9514 1404 393

Answer:

each triangle: 29.75 in²
rectangle: 374 in²
total area: 433.5 in²

Step-by-step explanation:

The base of each triangle is half the difference between the bases of the trapezoid:

(29 in -22 in)/2 = 7 in/2 = 3.5 in

The area of the triangle is given by the formula ...

A = 1/2bh

A = 1/2(3.5 in)(17 in) = 29.75 in² . . . triangle area

The area of the central rectangle is the product of its base and height.

A = bh = (22 in)(17 in) = 374 in² . . . rectangle area

The total area of the trapezoid is the sum of the areas of the two triangles and the area of the rectangle.

total area = 2(29.75 in²) + 374 in² = 433.5 in² . . . total trapezoid area

5 0

3 years ago

Two cyclists, 80 miles apart, start riding toward each other at the same time. One cycles 3 times as fast as the other. If they

vivado [14]

The speed of the faster cyclist will be 30 miles/hour.

Explanation

One cyclist is 3 times as fast as the other.

Lets assume that the speed of the slower cyclist is $x$ miles/hour.

So, the speed of the faster cyclist will be: $3x$ miles/hour.

They start riding toward each other at the same time and meet 2 hours later.

We know that, $Distance= speed*time$

So, the distance traveled by slower cyclist in 2 hours $= (x*2)miles= 2x$ miles and the distance traveled by faster cyclist $=(3x*2) miles = 6x$ miles.

Given that, they were 80 miles apart at the starting. So, the equation will be.....

$2x+6x=80\\ \\ 8x=80\\ \\ x=10$

So, the speed of the faster cyclist will be: (3×10)= 30 miles/hour.

5 0

4 years ago

Read 2 more answers

Solve for x in the triangle. Round your answer to the nearest tenth.

Grace [21]

Tan(61)= x/16 --> 16 x tan(61) = 59.89 = 59.9

8 0

3 years ago

The public library has volunteers shelve books after they have been returned. When Lisa arrives to volunteer, there are 5 non-fi

Eddi Din [679]

Answer:

65 non-fiction books need to be shelved

Step-by-step explanation:

This question can be solved using a rule of three.

For each 5 non-fiction books, there are 9 fiction books. How many non-fiction books are there when there are 117 fiction books?

5 non-fiction - 9 fiction

x non-fiction - 117 fiction

$9x = 5*117$

$x = \frac{5*117}{9}$

$x = 65$

65 non-fiction books need to be shelved

5 0

4 years ago