Simplify the following expression:

Answer:

1.25 dollars per quart

Step-by-step explanation:

There are 4 quarts per gallon

3 gallons * 4 quarts/ gallon = 12 quarts

15 dollars/ 12 quarts

1.25 dollars per quart

Answer:

∠ ABC = 125°

Step-by-step explanation:

∠ ABC = ∠ ABD + ∠DBC that is

∠ ABC = 65° + 60° = 125°

Answer:

1.6 ft

Step-by-step explanation:

If you use the Pythagorean Theorem to solve for x, you get:

[tex]x=\sqrt{2.1^2-1.4^2}[/tex]

[tex]x=\sqrt{2.45} = 1.56524758425[/tex]

Rounded to the nearest tenth, the answer is 1.6

This shape consists of two primary special triangles, 30-60-90 and 45-45-90.

the side with the 60° will be half of the hypotenuse because 30° is across from it.

the side with the 30° will be 5.5√3 because 60° is across from it, and any sides that has 60° across from it is associated with a √3.

x is 5.5√6 because any sides that is "below" the 45° angles are associated with a √2 times the side that's above the 45°

Answer:

4:10

Step-by-step explanation:

if they have to wait for plane B and it arrives every 10 mins then 4:10 is the anser

Answer:

Step-by-step explanation:

Answer:

Probability of an event = Number of outcomes favourable to that event/ Number of all possible outcomes.

The set of all possible outcomes is called the sample space and is denoted by S.

Any 3 fruits out of 11 in the box can be randomly selected in 11C3= (11x10 x 9)/(1 x 2x3) = 165 ways. Hence n(S) = 165.

We want the desired event E that the 1 fruit of each type is chosen. Now 1 apple out of 5 can be chosen in 5C1 = 5 ways, 1 out of 4 oranges in 4C1 = 4 and 1 banana out of 2 in 2C1 = 2 ways. Therefore, by fundamental counting principle, one of each type of fruit can be chosen in 5x4x2 = 40 ways So n(E) = 40.

Hence the probability of getting three fruits one of each type is = n(E)/ n(S) = 40/165 = 8/33.

The probability that all four children receive the same fruit is 2/33.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

We have 5 apples and 6 oranges.

So, if we choose 4 apples then the probability can be

= 5 /11 x 4/10 x 3/9 x 2/8

= 120/ 7920

and, if we choose 4 oranges then the probability can be

= 6/11 x 5/10 x 4/9 x 3/8

= 360/ 7920

Thus, the combined probability

= 120/7920 + 360/7920

= 480/ 7920

= 2/33

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Answer:

C

Step-by-step explanation:

180 degrees + 30 =210 degrees

210 degrees equals 7π/6

Answer:

The intersection of plane R and plane P is line DB

Point H is not on plane P.

CE and DB intersect at point D

Explanation:

got it right on edge 2021 :)

Answer:

there right^

Step-by-step explanation:

edge 22

Answer:

..............................what this

Answer:

1000/25 or 40

Step-by-step explanation:

~ A reciprocal is the fraction's reverse

For example 2/3=3/2

.025 is also 25/1000

The reverse of 25/1000 is 1000/25

Simplified into 40 wholes

1000/25 is the reciprocal of 0.025

A fraction represents a part of a whole.

Given,

Decimal value is 0.025

Zero point zero two five.

Firstly let us convert this to the fraction form.

When twenty five is divided by thousand we get 0.025

25/1000=0.025

So the fraction is 25/1000.

Now we need to find the reciprocal of fraction 25/1000.

Reciprocal means the numerator changes to denominator and denominator changes to numerator.

So 25/1000 reciprocal is 1000/25

Hence, 1000/25 is the reciprocal of 0.025

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Answer:

The answer is D. Y is -3 times x

The phrase which describes the linear relationship between the values of x and y is y is -3 times x.

A linear relationship is any relationship between two variables that creates a line when graphed in the x y -plane.

According to the given question.

We have a linear relationship between x and y.

From the first we can see that

When,

x = -3 and y = 9

⇒ y = -3x = -3 × (-3) = 9

when,

x = 0, and y = 0

⇒ y = -3x = -3 × 0 = 0

when,

x = 3, and y = -9

⇒ y = -3x = -3 × 3 = -9

Hence, this shows that  y is -3 times x.

Thus, option D is correct.

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Step-by-step explanation:

After putting the values:-

Answer:

No they aren't similar different measurements but same angle so they can't be said to be similar

Answer:

40 years old

Step-by-step explanation:

Answer:

3 : 15 : 2

Step-by-step explanation:

Let cranberry juice = x,

3/4 + 1/10 + x = 1

x = 3/20

Ratio = cranberry : apple : orange

= 3/20 : 3/4 : 1/10

= 3 : 15 : 2 (Times everything with 20)

Answer:

Step-by-step explanation:

The slope of the line is -9/8. The slope of any parallel to the line is also -9/8.

9514 1404 393

Answer:

  y < 3x -4

Step-by-step explanation:

The boundary line has a slope (rise/run) of 3/1 = 3. It has a y-intercept of -4. The shaded area is below the line and the solution does not include the line. The relevant inequality can be written ...

  y < 3x -4

The ratio of 1:6 is 1/6

The ratio of 3:8 is 3/8

The ratio of 2:14 is 1/7

The ratio of 3:42 is 1/14

Please mark brainliest if that helped!

Answer:

-1/4

Step-by-step explanation:

f(x) = 1/(x+1)

f(a) = 1/(a+1)

f'(a) = {(a+1)×d/da (1) - d/da (a+1) × 1}/(a+1)²

f'(a) = {(a+1)×0 - 1×1}/(a+1)²

f'(a) = (0-1)/(a²+2a+1)

f'(a) = -1/(1+2a+a²)

putting a = 1

f'(a) = -1/(1+2+1)

f'(a) = -1/4

Answer:

7/6

Step-by-step explanation:

since the formula of area is length times width,you have to divide the area by the length to find the width

area=length×width

the width will be

width=area÷length

=7/8÷3/4

7/8×4/3

7/2×1/3

7/6

that's the width you can prove it by multiplying the length times the width to see if you will get 7/8..

I hope this helps

Answer:

Line A overlaps line B

Step-by-step explanation:

find gradient of both A and B and use it to find the equation of both lines

final answer will reveal that both lines are the same implying that one overlaps the other

Answer:

[tex]\boxed {\boxed { \sf 12 \ inches}}[/tex]

Step-by-step explanation:

The area of a triangle can be calculated using the following formula.

[tex]a=\frac{1}{2} bh[/tex]

The area of the triangle is 24 square inches and the base is 4 inches long.

Substitute the values into the formula.

[tex]24 \ in^2 = \frac {1}{2} * 4 \ in * h[/tex]

Multiply on the right side of the equation.

[tex]24 \ in ^2 = ( \frac{1}{2} * 4 \ in ) * h[/tex]

[tex]24 \ in ^2 =2 \ in *h[/tex]

We are solving for the height of the triangle, so we must isolate the variable h. It is being multiplied by 2 inches. The inverse of multiplication is division, so we divide both sides by 2 inches.

[tex]\frac { 24 \ in ^2 }{2 \ in }= \frac{ 2 \ in *h}{ 2 \ in}[/tex]

[tex]\frac { 24 \ in ^2 }{2 \ in }= h[/tex]

[tex]12 \ in = h[/tex]

The height of the triangle is 12 inches.

Answer:

[tex]x=17[/tex]

Step-by-step explanation:

[tex](6x+10)(x+17)(4x-34)[/tex]

[tex]6x+10+x+17+4x-34=180[/tex]

Add:- [tex]6x+x+4x=11x[/tex]

and [tex]10+17-34=-7[/tex]

So, [tex]11x-7=180[/tex]

Add 7 to both sides:-

[tex]11x=187[/tex]

Divide both sides by 11:-

[tex]\frac{11x}{11}=\frac{187}{11}[/tex]

[tex]x=17[/tex]

OAmalOHopeO

Answer:

Range: 10.4

Step-by-step explanation:

Range = maximum(xi) - minimum(xi), where xi represents the set of values

= 11.6 -  1.2

= 10.4

Answer:

Range-

{

11.6

,

11.5

,

11.4

}

Step-by-step explanation:

Answer:

6 hours

Step-by-step explanation:

A: y=125+7x

B: y=110+10x

for A to be a better deal than B, 125+7x<110+10x has to be true

Answer:

B 5

Step-by-step explanation:

Company A

total cost = 125+7h  where h is the number of hours

Company B

total cost = 110 + 10h  where h is the number of hours

125 + 7h < 110 + 10h

Subtract 7 h from each side

125 + 7h-7h<110+10h-7h

125 < 110+3h

Subtract 110 from each side

125-110< 110+3h

15 <3h

Divide by 3

15/3 <3h/3

5 <h

More than 5 hours

Answer:

1, 2, 3, 6, 103, 206, 309, 618

Step-by-step explanation:

Factor out 2,

x² - x - 2 = 0

x² - x = 2

x² - x + (-1/2)² = 2 + (-1/2)²

(x - 1/2)² = 9/4

x = ±3/2 + 1/2

x = 2 or x = -1