The third grade class sells lemonade for a fundraiser. After selling 16 quarts of lemonade the first week and 18 quarts the second week, they still have 14 quarts of lemonade left. How many quarts of lemonade did they have at the beginning?

Answer:

I think it is B because it makes sense and I have done algebra before.

Answer:

\(y=-4x+5\)

Step-by-step explanation:

The equation of a line with slope \(m\) and \(y\)-intercept \((0,b)\) is \(y=mx+b\).

The coordinate on which the residual values are shown on a residual plot is: A) on the y-axis.

A residual value can be defined as a difference between the measured (given or observed) value from a residual plot (scatter plot) and the predicted value from a residual plot (scatter plot).

Mathematically, the residual value of a data set can be calculated by using this formula:

Residual value = given value - predicted value

In Mathematics, the independent variable (fitted values) are generally plotted on the x-axis of a residual plot (scatter plot) while the residual value is plotted on y-axis of a residual plot (scatter plot).

In conclusion, a line of best fit simply refers to a trend line on a residual plot (scatter plot).

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Answer:

60%

Step-by-step explanation:

3/5 is 60%

Answer:

60%

Step-by-step explanation:

5/5 minus 2/5 is 3/5

5 divided by 3 is .6

in order to find out the percent move the decimal over to the right

Answer:

cyclist will travel 64 kilometres in 4 hours

Step-by-step explanation:

speed of cyclist = 10 miles per hour

given 1 mile is equal to 1.6 kilometres.

1*10 miles will be equal to 1.6*10 kilometres

thus , 10 mile is equal to 16 kilometres

using 16 km in place of 10 miles in 10 miles per hour

we have

speed of cyclist = 16 kilometres per hour

we know that distance = speed * time

speed is 16 kilometres per hour

time 4 hours

thus , distance = 16*4 kilometres= 64 kilometres.

cyclist will travel 64 kilometres in 4 hours.

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

x=48

Step-by-step explanation:

They are vertical angles.

Answer:

they are all called numbers

Step-by-step explanation:

Answer:x=9

Step-by-step explanation: 12.6x5 then subtract everything else.

Answer:

------------------

Simplify in below steps:

Answer:

7. √149 ft or 12.2 ft

8. 5√2 m or 7.07 m

9. √36.75 in. or 6.06 in.

Step-by-step explanation:

7.

a² + b² = c²

7² + 10² = x²

49 + 100 = x²

x² = 149

x = √149

x ≈ 12.2

Answer: √149 ft or 12.2 ft

8.

perimeter = 20 m

side = perimeter/4 = 5 m

a² + b² = c²

5² + 5² = x²

25 + 25 = x²

x² = 50

x = 5√2

Answer: 5√2 m or 7.07 m

9.

a² + b² = c²

3.5² + x² = 7²

12.25 + x² = 49

x² = 49 - 12.25

x² = 36.75

x = √36.75 = 6.06

Answer: √36.75 in. or 6.06 in.

Answer:

  7.  12.2 ft

  8.  7.07 m

  9.  6.06 in

Step-by-step explanation:

You want the hypotenuse of at right triangle with legs 7 and 10 ft, the diagonal of a square with perimeter 20 m, and the altitude of an equilateral triangle with side length 7 inches.

These problems all make use of the Pythagorean theorem, which tells yo the relation between sides a, b and hypotenuse c of a right triangle is ...

  a² +b² = c²

The length of the leash (c) is ...

  c² = (7 ft)² +(10 ft)² = 149 ft²

  c = √149 ft ≈ 12.2 ft

The leash is about 12.2 feet long.

Each side of the square is 1/4 of the perimeter, so is 5 m. The diagonal is the hypotenuse of a right triangle with legs that length. Its measure is ...

  c = √(5² +5²) = 5√2 ≈ 7.07 . . . . meters

The length of the diagonal is about 7.07 meters.

The altitude of an equilateral triangle is a perpendicular bisector of one side. Its length is ...

  b = √(c² -a²)

  b = √(7² -3.5²) = √36.75 ≈ 6.06 . . . . inches

The altitude of the triangle is about 6.06 inches.

__

Additional comment

The triangles of problems 8 and 9 are known as the two "special" right triangles.

The side lengths of an isosceles right triangle (angles 45°-45°-90°) have the ratios 1 : 1 : √2.

The side lengths of a triangle with angles 30°-60°-90° have the ratios 1 : √3 : 2.

That is, the diagonal of the square is √2 times its side length, and the altitude of the equilateral triangle is (√3)/2 times is side length.

It can be useful to remember these triangles and their side ratios.

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The number of minutes spent higher than 38 meters above the ground on the Ferris wheel ride is approximately 1.0918 minutes.

To solve this problem, we need to determine the angular position of the Ferris wheel when it is 38 meters above the ground.

The Ferris wheel has a diameter of 50 meters, which means its radius is half of that, or 25 meters.

When the Ferris wheel is at its highest point, the radius and the height from the ground are aligned, forming a right triangle.

The height of this right triangle is the sum of the radius (25 meters) and the platform height (4 meters), which equals 29 meters.

To find the angle at which the Ferris wheel is 38 meters above the ground, we can use the inverse sine (arcsine) function.

The formula is:

θ = arcsin(h / r)

where θ is the angle in radians, h is the height above the ground (38 meters), and r is the radius of the Ferris wheel (25 meters).

θ = arcsin(38 / 29) ≈ 1.0918 radians

Now, we know the angle at which the Ferris wheel is 38 meters above the ground.

To calculate the time spent higher than 38 meters, we need to find the fraction of the total revolution that corresponds to this angle.

The Ferris wheel completes one full revolution in 2 minutes, which is equivalent to 2π radians.

Therefore, the fraction of the revolution corresponding to an angle of 1.0918 radians is:

Fraction = θ / (2π) ≈ 1.0918 / (2π)

Finally, we can calculate the time spent higher than 38 meters by multiplying the fraction of the revolution by the total time for one revolution:

Time = Fraction \(\times\) Total time per revolution = (1.0918 / (2π)) \(\times\) 2 minutes

Calculating this expression will give us the answer in minutes.

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Answer:

47

Step-by-step explanation:

104 = 57 + m<1

Subtract 57 from both sides.

m<1 = 47

Answer:

1.9*10^4   kg

Step-by-step explanation:

1.9*10^4   kg

Answer:

1.9 × 10⁴

Step-by-step explanation:

Move the decimal 4 places to the left to get your number less than 10 but greater than one. Every space you moved left is then placed in the position of the exponent for 10.

The outstanding checks list for Madison at the end of May shows a total of $1,169.53, including the following checks and their amounts:

Check No.   Amount

3252             56.89

3260             92.65

3275           603.50

3276             67.00

3277            301.61

3278            47.88.

Outstanding checks are checks issued by Madison to its suppliers of services and goods that have not been cleared at the bank.

Perhaps, the payees have not submitted or presented them for payment.

Check No.   Amount

3247             $32.64

3263             $24.87

3248            400.00

3264              45.00

3249            309.22

3265              33.78

3250           256.00

3266            756.77

3251           3,212.17

3267             84.34

3252            56.89

3268          789.00

3253            98.02

3269            48.90

3254             47.55

3270             34.41

3255         1,124.77

3271           872.00

3256         250.00

3272           22.00

3257           68.00

3273         562.38

3258         215.56

3274         512.00

3259          38.55

3275       603.50

3260         92.65

3276          67.00

3261           44.61

3277         301.61

3262         72.96

3278         47.88

Check No.   Amount

3252             56.89

3260             92.65

3275          603.50

3276             67.00

3277            301.61

3278            47.88

Total      $1,169.53

Thus, the list of outstanding checks totals $1,169.53.

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Option • 12 is the answer .The number of treatments in the experiment is 12.

The understudy is directing a trial to comprehend the connection between microwave power and time on the quantity of unpopped bits in a pack of popcorn. There are three degrees of microwave power: low, medium, and high. Each sack of popcorn can be popped for either 3 minutes or 4 minutes, which provides us with a sum of double cross variables. To cover every one of the potential mixes of time and power, the understudy runs 12 distinct medicines (3 degrees of force x 2 degrees of time). Every treatment addresses one sack of popcorn that is popped for a particular time frame and with a particular power setting. The quantity of unpopped parts is recorded for every treatment, and the outcomes are utilized to make determinations about the impacts of microwave power and time on the quantity of unpopped pieces.

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Let's use the compound interest formula:

Being P the initial amount, r the rate, and t the time

Replacing

Answer: The population will be 36841072

Answer:

E) A hypothesis test with a null hypothesis that the dropout rate is less than or equal to the highest dropout rate

Step-by-step explanation:

The hypothesis test is the type of test that helped a scientist to determine the relationship between two variables-one constant independent variable and an dependent variable. For the dropout rates in the different schools, it would be better to use the hypothesis test for the evaluation.

The equation to model the given work is 5.4 liters / 10 teams = 0.54 liters per team, and 0.54 liters per team × 920 grams per liter = 497.28 grams per team.

The teams will share 5.4 liters of olive oil. To find out how much each team will receive, we can divide the total amount of olive oil by the number of teams:

5.4 liters ÷ 10 teams = 0.54 liters per team

However, it's usually more convenient to express this in grams for equation, so we need to convert liters to grams.

The conversion factor for olive oil is approximately 0.92 grams per milliliter (or 920 grams per liter). So, we can multiply 0.54 liters per team by 920 grams per liter to get:

0.54 liters per team × 920 grams per liter = 497.28 grams per team

Therefore, each team will receive 497.28 grams of olive oil as per the work.

Equation: 5.4 liters / 10 teams = 0.54 liters per team, and 0.54 liters per team × 920 grams per liter = 497.28 grams per team.

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Answer:

5/(1/3)

Step-by-step explanation:

She has 5 granola bars and gives 1/3 of one to each of her friends. To find how many friends she can give it to, divide 5 by 1/3. You would get a total of 15 friends that you can give granola bars to. The question is asking for an expression so the expression would be 5/(1/3) or 5*3

Answer:

1/3 x = 5

x=15

Step-by-step explanation:

You’re multiplying 1/3 times the number of friends (x), and then multiplying both sides by the reciprocal to solve for x

Answer:

1. 5.65

2.

3. d ; F ; c; a

4.

5. d

Answer:

1. 25.1 - 19.33 = 5.77

2. 2 1/6

3. A,C,D,F

4. 6/8 + 7/8 = 13/8 = 1 5/8

5. A

Step-by-step explanation:

Hope this helps.

Answer:

  x = 17/4 = 4.25

Step-by-step explanation:

We assume your multiplication symbol (×) is intended to be a variable (x).

Simplifying, we have ...

  17 -10x +45 = 6x -10 +4

  68 = 16x

  68/16 = x = 17/4 = 4.25

__

Check

17 -5(2(4.25) -9) = -(-6(4.25) +10) +4

17 -5(8.50 -9) = -(-25.5 +10) +4

17 -5(-0.5) = 15.5 +4

17 +2.5 = 19.5 . . . . . . true

The equation for the orange graph is the one in the last option:

f(x) = -3x³

We can see that the orange graph seems to be:

From the given options, the only one that matches all these options is the last one:

f(x) = -3x³

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The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

Answer:

B

Step-by-step explanation:

so basically it's b since u gotta have the bracket after the f then equals to x - 4 and g(x) = x+4 over 11

Answer:

b

Step-by-step explanation:

f(x) = 11x-4

y = 11x-4

11x = y-4

x = y-4/11

since g(x) = x+4/11, then g(x) is the inverse of f(x)

Answer:

y = -2x

Step-by-step explanation:

Equation in slope-intercept form is y = mx + b.

m = slope = ∆y/∆x

Using any two points on the line, say (0, 0) and (-20, 40),

Slope (m) = (40 - 0) / (-20 - 0) = 40/-20

Slope (m) = -2

b = y-intercept = the value of y when x = 0.

b = 0

To write the equation of the line, substitute m = -2 and b = 0 into y = mx + b

Thus:

y = -2x + 0

y = -2x

The answer of the above question is [0,30]

An absolute value inequality is one with an absolute value sign and a variable inside.

An important point to remember: | x |= {x if x ≥ 0 }

| x |= {x if x< 0}

taking the expression  |-2z+30| ≤ 30

Write the equivalent compound inequality.

-30≤ -2z+30 ≤ 30

= -30-30 ≤ -2z ≤ 30-30

= -60≤ -2z ≤ 0

= -60/2 ≤ -z  ≤ 0

= -30 ≤ -z  ≤ 0

Solve the compound inequality.

= 0 ≥ z ≥ 30 (reversing of signs)

Hence, the solution using interval notation  [0,30].The check is left to you.

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The height of the sand in the display container is 12 inches when the display container is right triangular prism.

What is right triangular prism ?

A right triangular prism is a three-dimensional geometric shape with two parallel triangular bases and three rectangular faces. The rectangular faces connect the corresponding vertices of the triangular bases.

To find the height of the sand in the display container, we need to use the fact that the volume of sand in the storage container is equal to the volume of sand in the display container.

The storage container has a length, width, and height of 6 inch, 6 inch, and 6inche, respectively. Then, the volume of the storage container is:

\(V_{storage} = L * W * H = 6 * 6 * 6 = 216 inch^3\)

Similarly, let's assume that the display container has a base of length 4 inch and height 9 inches and height of sand be H.

Then, the volume of the display container is:

\(V_{display} = (1/2) * b * h * H = (1/2) * 4 * 9 * H = 18H\)

where (1/2) is the area of the triangle base of the display container.

Since the volumes of sand in both containers are equal, we can set these expressions equal to each other and solve for h:

216 = 18H

H = 12 inches

Therefore, the height of the sand in the display container is 12 inches.

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Answer:

Graph is attached below

Step-by-step explanation:

You first need to plot any two points on the coordinate plane(you can also do more than two points to make it more accurate). Then, using a ruler connect the points and extend the line outwards.

The plotted straight line is as shown in below graph.

Given straight line equation is y = x + 2

To plot a straight line, take two different values of x which output different values of y. Then plot those points in the graph.

After plotting those two points, you connect both dots with straight line and extend that line infinitely from both endpoints.

Example, take x = 1 and x = 2 for straight line y = x + 2

Then we get:

For x = 1, y = 1 + 2 = 3

For x = 2, y = 2 + 2 = 4

The plot of points (1,3) and (2,4) and the straight line y = x + 2 is shown below.

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Answer:

7, 2, -3, -8

Step-by-step explanation:

y = -5x + 2  Substitute in -1 for x

y = -5(-1) + 2

y = 5 + 2

y = 7

y = -5x + 2  Substitute in 0 for x

y = -5(0) + 2

y = 0 + 2

y = 2

y = -5 + 2 substitutes in 1 for x

y = -5(1) + 2

y = -5 + 2

y = -3

y = -5x + 2  Substitute in 2 for x

y = -5(2) + 2

y = -10 + 2

y = -8

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