Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils
left over. How many pencils were in each package? Use the drop-down menus to solve the
problem arithmetically and algebraically.

Answer:

1) 20

Step-by-step explanation:

40% percent of this number is only a small amount.

20

Step-by-step explanation:

40 percent of this number is a small amount

Answer:15x+35=110

Step-by-step explanation:

Answer:

There are 7 ten-dollar bills and 16 five-dollar bills.

Step-by-step explanation:

Let's call:

T: Number of ten-dollar bills

F: Number of five-dollar bills

The amount of money withdrawn from the ATM is $150:

10T+5F=150

Dividing by 5:

[tex]2T+F=30\qquad\qquad [1][/tex]

We also know there are two more than twice as many five-dollar bills as there are ten-dollar bills:

[tex]F=2+2T\qquad\qquad [2][/tex]

Substituting [2] into [1]:

2T+2T+2=30

Rearranging:

2T+2T=30-2

Simplifying:

4T=28

Solving:

T=28/4=7

From [2]:

F=2+2*7=2+14=16

There are 7 ten-dollar bills and 16 five-dollar bills.

Subtract the new value from original value to find the difference:

35 - 28 = 7

Divide the difference by the original amount and multiply by 100:

7/35 = 0.2 x 100 = 20%

The decrease was 20%

Answer:

20%

Step-by-step explanation:

First, subtract the new value from the original value to find the difference between the two.

35 - 28 = 7

Next, divide the difference by the original amount.

7 / 35 = 0.2

Then, multiply by 100.

.2 x 100 = 20%

We now know that the decrease was 20%

Answer:8=2xn+5

Step-by-step explanation:X is times

n is variable

2k + s - 2

I don't understand the question

Answer:

2k+s-2

Step-by-step explanation:

twice means 2 and k is just a number but as a letter. plus the quantity s is just s as a number, then minus 2 is

=2k+s-2

Answer:

a) Vf = at + Vi

b) 10 m/s

Step-by-step explanation:

Part A:

first bring the t to the other side, when doing this the t will become a numerator: at= Vf-Vi

now bring the Vi over to the other side and flip the sign: at + Vi = Vf

this can be rewritten as Vf = at + Vi

Part B:

substitute the numbers: Vf = (2)(3) + 4

solve to get: Vf = 10 m/s

Answer:

9, 36, and 45

Step-by-step explanation:

The order is 9, 36, and 45 because as we have to divide 90 into 1:4:5, 1+4+5=10 total parts. Then 90 divided by 10 equals to 9. The first number has 1 part, so 9x1=9 for the first number. For 4 parts, 9x4=36 for the second number. For 5 parts, 9x5=45 for the third number. The order is 9, 36, and 45. Hope it helps!

When we divide 90 in 1:4:5 ratio so it comes 9,36, and 45.

Given that,

Based on the above information, the calculation is as follows:

x + 4x + 5x = 90

10x = 90

x = 9

Now multiply each ratio with 9 to get each value.

So, the values should be 9,36, and 45.

Therefore we can conclude that when we divide 90 in 1:4:5 ratio so it comes 9,36, and 45.

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Answer:

ya they r

Step-by-step explanation:

Answer:

>3

Step-by-step explanation:

−5x+15<−2x+6

Step 2: Add 2x to both sides.

−5x+15+2x<−2x+6+2x

−3x+15<6

Step 3: Subtract 15 from both sides.

−3x+15−15<6−15

−3x<−9

Step 4: Divide both sides by -3.

−3x

−3

<

−9

−3

Answer:

15-20i

Step-by-step explanation:

Hello,

When l =-1

6+l = 6-1 = 5

and 5(3-4i)=15-20i

Thanks

Answer:

The two angles are supplementary

Step-by-step explanation:

Not sure if this is an option, but it would make sense with the question

The sum of the adjacent angles is 180° which means the adjacent angle will be supplementary angles.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.

Gustavo saw that when a couple of equal lines were cut by a cross-over, a specific set of nearby points shaped a straight line.

The sum of the adjacent angles is 180° which means the adjacent angle will be supplementary angles.

The diagram is given below.

More about the angled link is given below.

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it is 100 times greater because it is two places higher than 57,080

Answer:

50%

Step by step explanation

100 divided by 4 is 25

Since it is both blue and black, it is doubled from 25 to 50

Answer:

f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)

Step-by-step explanation:

Answer:

18 students are girls.

Step-by-step explanation:

Answer: The answer would be 18 girl students

Step-by-step explanation:

If one 3rd of the students are boys, divide 27 by 3 and you get 9, 9 times 2 equals 18, the other nine students are the boys, while there are 18 girls.

Answer:

y = -7

Step-by-step explanation:

The equation of a line is:

y = mx + b    where m = slope

To find b, plug in a point and solve.

(-6,-7)

y = mx + b

-7 = 0(-6) + b

- 7 = 0 + b

-7 = b

So the equation is:

y = 0x + b or

y = -7

No matter what you plug into x, y = -7, because your slope is 0.

The equation of the line that passes through the point (-6,-7) and with slope 0  is [tex]y=-7[/tex].

Point through which the given line passes ≡ (-6,-7)

The slope of the line =0

The equation of a straight line passing through the point (x₁, y₁) is given by: [tex]y-y_1 =m(x-x_1)[/tex]

where m is the slope of the line.

So, the equation of the line that passes through the point (-6,-7) and with slope 0 will be:

[tex]y-(-7) = 0(x-(-7))[/tex]

[tex]y+7 =0[/tex]

[tex]y =-7[/tex]

So, the required equation of the line is y=-7.

Therefore,  the equation of the line that passes through the point (-6,-7) and with slope 0  is [tex]y=-7[/tex].

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Answer:

-3t-1

Step-by-step explanation:

Answer:

29900 ft

Step-by-step explanation:

just plug in 18 for x

A function assigns the values. The predicted height of the airplane after 18 minutes of takeoff is 29,864 ft.

A function assigns the value of each element of one set to the other specific element of another set.

The measure of the height of an airplane at a certain time is given by the function,

[tex]y = \dfrac{29,864 }{1+9.381 e^{-0.9948x}}[/tex]

where x is the time in minutes and y is the height of the airplane.

Now, the height of the plane after 18 minutes post takeoff can be calculated by substituting the value of time, x as 18 in the function.

[tex]y = \dfrac{29,864 }{1+9.381 e^{-0.9948x}}\\\\y = \dfrac{29,864 }{1+9.381 e^{-0.9948 \times 18}}\\\\y = \dfrac{29,864 }{1+9.381 e^{-7.9064}}[/tex]

[tex]y = \dfrac{29,864 }{1+9.381 e^{-7.9064}}\\\\y = \dfrac{29,864 }{1+(9.381 \times 1.6724 \times 10^8)}\\\\y = \dfrac{29,864 }{1+(1.5689 \times 10^8)}\\\\y = \dfrac{29,864 }{1.000000157}[/tex]

y = 29864 ft

Hence, the predicted height of the airplane after 18 minutes of takeoff is 29,864 ft.

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Answer:

phototmathbdbdjsknaisjdbxiehevdixjbwjwosjznaksojxbwjs

Answer:

he need 84

Step-by-step explanation:

12* 7

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Answer:

38 feet

Step-by-step explanation:

Find the perimeter:

12 + 7 + 12 + 7 = 24 + 14 = 38 feet of fencing

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

If A is the area of a circle with radius r and the circle expands as time passes, find dA/dt in terms of dr/dt. dA dt = dr dt (b) Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a constant rate of 1 m/s, how fast is the area of the spill increasing when the radius is 25 m?

Area of the circle A = πr²

dA/dr = 2πr where r is the radius of the circle

dA/dt = dA/dr * dr/dt

dr/dt is the rate of increase in radius of the oil spill.

Given

dr/dt = 1m/s

radius r = 25m

Substitute into the formula above;

dA/dt = dA/dr * dr/dt

dA/dt = 2πr * 1

dA/dt = 2π(25) * 1

dA/dt = 50πm²/s

dA/dt = 157.1m²/s

Hence the area of the spill is increasing at the rate of 157.1m²/s

Answer:

the answer is y=[tex]\frac{3}{4}[/tex]x-2

Step-by-step explanation:

The equation 3x - 4y = 8  written in slope-intercept form as y = (3/4)x - 2.

To write the equation 3x - 4y = 8 in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept,  to isolate y on one side of the equation.

Starting with the given equation:

3x - 4y = 8

First, let's subtract 3x from both sides of the equation to isolate the y term:

-4y = -3x + 8

Next, divide both sides of the equation by -4 to solve for y:

y = (3/4)x - 2

Now the equation in slope-intercept form. The slope is 3/4, and the y-intercept is -2.

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Answer: A 83

Step-by-step explanation:

Add 46 to 51 then subtract from 180 to get the correct answer(83)

Answer:

110d + 80 > 1620

d > 14

Step-by-step explanation:

The amount of points from collecting diamonds can be represented by 110d, since you get 110 points for each diamond, d

Add 80 to this to represent the bonus points.

Use a greater than inequality, because you have to get more than 1620 points.

Put this all together:

110d + 80 > 1620

Then, solve for d:

110d + 80 > 1620

110d > 1540

d > 14

So, you have to collect more than 14 diamonds in less than 2 minutes in order to advance to the next level.