All Questions ⁺⁰235756 Questions

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Rate problem

I drove to the beach at a rate of $40$ miles per hour. If I had driven at a rate of $55$ miles per hour instead, then I would have arrived $25$ minutes earlier. How many miles did I drive?

fjeihqoO Mar 30, 2024

0

36

0

+279

Algebra

I have to paint one side of a wall. The wall is $15$ meters tall and $60$ meters long. Each gallon of paint covers $400$ square feet. If a foot is approximately $0.3048$ meters, then what is the smallest whole number of gallons I can buy and read more ..

fjeihqoO Mar 30, 2024

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27

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+279

Algebra

At a cafeteria, Mary orders two pieces of toast and a bagel, which comes out to 3.15. Gary orders a bagel and four muffins, which comes out to 7.85. Larry orders a piece of toast, two bagels, and three muffins, which comes out to 9.75. read more ..

fjeihqoO Mar 30, 2024

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23

1

+1911

help geometry

An isosceles triangle has side lengths $8$ cm, $10$ cm and $10$ cm. The longest side of a similar triangle is $20$ cm. What is the perimeter of the larger triangle, in centimeters?

tomtom Mar 30, 2024

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11

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+1768

need help

Two cross sections of a right hexagonal pyramid are obtained by cutting the pyramid with planes parallel to the hexagonal base. The areas of the cross sections are $216\sqrt{3}$ square feet and $200$ square feet. The two planes are $4$ feet apart. How far read more ..

bader Mar 30, 2024

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15

1

+1768

Geometry

A circle is inscribed in a rhombus with sides of length 4 cm. If the two acute angles in the rhombus each measure $90^{\circ}$, what is the length of the circle's radius? Express your answer in simplest radical form.

bader Mar 30, 2024

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23

0

+1768

Triangle

Triangle $ABC$ is similar to triangle $XYZ$ with side $AB$ measuring $14$ units, side $BC$ measuring $8$ units and side $XY$ measuring $16$ units. What is the measure of side $YZ?$

bader Mar 30, 2024

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29

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+1768

Geometry

In rectangle $ABCD$, points $E$ and $F$ lie on segments $AB$ and $CD$, respectively, such that $AE = \frac{AB}{8}$ and $CF = \frac{CD}{5}$. Segment $BD$ intersects segment $EF$ at $P$. What fraction of the area of rectangle $ABCD$ lies in triangle $EBP$? read more ..

bader Mar 30, 2024

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23

1

+1246

need help

Find the ordered triple (p,q,r) that satisfies the following system:
p - 2q = 3 - 4p + 7q,
q - 2r = -2 - 5q,
p + r = 9 + 10q.

Akhain1 Mar 30, 2024

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11

1

+1246

Ratios

A bag contains yellow, green, blue, and white marbles. The ratio of yellow, green, blue, white marbles is $4:1:2:3$. If the bag contains $20$ marbles, then how many blue marbles are there?

Akhain1 Mar 30, 2024

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32

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+1246

Help algebra

Real numbers $a$ and $b$ satisfy
a + ab^2 = 250ab + ab^3
a - ab^2 = 240ab - 50b^2
Enter all possible values of a, separated by commas.

Akhain1 Mar 30, 2024

0

14

1

+279

Counting

Find the number of times the digit $9$ appears in the list of all integers from $1$ to $750$. (The number $ 99 $, for example, is counted twice, because $9$ appears two times in it.)

fjeihqoO Mar 30, 2024

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34

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+279

Help with counting

At a meeting, five scientists, two mathematicians, and a journalist are to be seated around a circular table. How many different arrangements are possible if the scientists must all sit together (in five consecutive seats) and the mathematicians must sit read more ..

fjeihqoO Mar 30, 2024

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28

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+279

Help probability

A point is randomly chosen inside a square of side length 2. What is the probability that the distance between the chosen point and the nearest corner of the square is between 1/2 and 1?

fjeihqoO Mar 30, 2024

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30

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+1246

Roots

Let $a$ and $b$ be the roots of the quadratic equation $2x^2+6x-14=x^2-8x+2$. What is the value of $(2a-3)(4b-6)$?

Akhain1 Mar 30, 2024

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20

0

+1246

help quadratic

One root of the quadratic equation $x^2 + bx -28 = 4x + 14$ is $-7$. What is the value of $b$?

Akhain1 Mar 30, 2024

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33

0

+1246

Quadratic

The quadratic equation $3x^2+4x-9 = 2x^2-6x+1$ has two real roots. What is the sum of the squares of these roots?

Akhain1 Mar 30, 2024

+1

18

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+280

Please help!!!

What values of x satisfy ? Express your answer in interval notation.

ABJelly Mar 30, 2024

+1

9

1

+280

Please help!!

Find all c such that |c+5| - 3c = 10. Enter all the solutions, separated by commas.

ABJelly Mar 30, 2024

+1

19

1

+280

Please help

Suppose a does not equal 0. Compute log_{8^a} 4^b in terms of a and b.

ABJelly Mar 30, 2024

0

29

0

+1246

Need help

Fill in the blanks with numbers to make a true equation
3x^2 + 12x + 4 - x^3 + 8x - 5x + 7x^2 + 11 = __ (x + __)^3 + __(x + __)^2 + __x + ___

Akhain1 Mar 30, 2024

0

32

0

+1246

Parabola

The parabola $y = ax^2 + bx + c$ is graphed below. Find $a + b + c$. (The grid lines are one unit apart.)
The parabola passes through (-3,7), (-1,5), and (2,8).

Akhain1 Mar 30, 2024

0

26

0

+1246

Triangle

In triangle $ABC,$ points $P$ and $Q$ are on side $\overline{AB},$ and point $R$ is on side $\overline{AC}.$ If $\frac{AP}{2} = \frac{PQ}{5} = \frac{QB}{11}$ and $\frac{AR}{8} = \frac{RC}{13},$ then find $\frac{[QBC]}{[CRQ]}.$

Akhain1 Mar 30, 2024

0

29

0

+1246

triangle

In triangle $ABE,$ $C$ and $D$ are points on sides $\overline{BE}.$ If $BD = 18$, $CE = 7$, $[ABC] = 13$, and $[ADE] = 22$, then find $[ACD]$.

Akhain1 Mar 30, 2024

0

13

2

+51

triple trouble

a. A baking club wants to form an executive committee. There are 12 people in the baking club, including Mark. In how many ways can the baking club form an executive committee with 5 people?
b. A baking club wants to form an executive committee. read more ..

fjeihqo0 Mar 30, 2024

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