What can you multiply 4 by to get 120?

Answer:

1966

Step-by-step explanation:

910x2=1820

23x2= 46

1820=46=1966

Answer:

43.5 in^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 ( b1+b2) h  where b1 and b2 are the lengths of the bases and h is the height

We need to change 1 1/4 ft to inches = 1.25 (12) = 15 inches

A = 1/2 ( 15+14) 3

A = 1/2(29)*3

43.5 in^2

14% of the time the mean weight of 23 fruits will be greater than approximately 594.33 grams.

What is the Central Limit Theorem (CLT)?

According to the CLT, the distribution of sample means from a population with mean μ and standard deviation σ, will be approximately normal with mean μ and standard deviation σ/√n, where n is the sample size.

In this case, the population mean is 589 grams and the population standard deviation is 16 grams. We are picking a sample of 23 fruits at random, so the standard deviation of the sample means will be:

σ/√n = 16/√23 ≈ 3.33

To find the value of x such that 14% of the time the sample mean will be greater than x, we need to find the z-score that corresponds to the 86th percentile of the standard normal distribution. We can use a table or a calculator to find that z-score:

z = invNorm(0.86) ≈ 1.08

The sample mean is normally distributed with a mean of 589 grams and a standard deviation of 3.33 grams. Using the formula for z-score:

z = (x - μ) / (σ / √n)

We can solve for x:

x = z × (σ / √n) + μ

x = 1.08 × (16 / √23) + 589

x ≈ 594.33 grams

Therefore, 14% of the time the mean weight of 23 fruits will be greater than approximately 594.33 grams.

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The value of the expression is 16x(x+1) / 10x² -14x -12

In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)

The given expression is

16/(x-2)  ÷ 4/(x+1) + 6/x

Simplify this to have

16 / (x-2) ÷ (10x + 6) / (x+1)(x)

this implies that 16/(x-2) * (x+1)(x)/(10x +6)

16(x² + x)/(x-2)(10x+6)

Therefore the value of the expression is

16x(x+1) / 10x² -14x -12

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The system of equations has one solution.

To check this, we can graph the two equations of the system:

y = (-1/3)x + 7

y = -2x³ + 5x² + x - 2

On the same coordinate axis, and check how many times do the graphs intercept.

The graph can be seen in the image at the end, there you can see that there is only one intecept point. Thus, the system of equations has only one solution.

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When Janet has $50 in a savings account that earns 10% annually, the interest is $15.

It should be noted that the interest is the extra amount that's given for keeping money for a specified period of time. Interest is the payment of a sum over and above the original amount owed by a lender or deposit-taking financial institution to a depositor or lender, at a set rate.

The formula for calculating interest is given as:

Interest = PRT / 100

where P = Principal. = $50

R = rate = 10%

T = Time = 3

Interest = PRT / 100

Interest = (50 × 10 × 3) / 100.

Interest = 1500 / 100

Interest = $15

The interest is $15.

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Answer:

9 x 3.5 = 31.5 (area of rectangle now time for the trapezoid!)

Area of little square:

2 x 2 = 4

Area of two triangles:

2 x 2 = 4

4 divided by 2 = 2

5 x 2 = 10

10 divided by 2 = 5

The summed up area's of triangles:

5 + 2 = 7

7 + 4(little square's area)  = 11

11 + 31.5 = 42.5

Answer:

y = 65 + 20x

Step-by-step explanation:

Okay, when you're talking about linear equations try to find the fixed value, and then the changing one.

The fixed value will be by itself

The value that varies will have a variable next to it (x, y, z, whatever)

Then, the answer has to be

y = 65 + 20x

Answer: D

Step-by-step explanation:

16+18+19+21+21=95

95/5 is 19
95+37=132

132/6=22

Answer:

1/6

Step-by-step explanation:

I dunno, I put this into a calculator and that's the answer it gave me.

Yes, the expression (64+28+76)/6 makes sense as it represents the average quantity of juice per unit when combining all the shown juices.

To determine whether the expression (64+28+76)/6 makes sense, we need to evaluate the components of the expression and consider whether the mathematical operations are valid.

The expression (64+28+76)/6 represents the sum of three numbers (64, 28, and 76), divided by 6. Let's break it down step by step:

Addition: We have three numbers being added together: 64, 28, and 76. The sum of these numbers is 168 (64 + 28 + 76 = 168).

Division: The sum of the three numbers, 168, is then divided by 6. Division is a valid mathematical operation.

Now, let's analyze whether the expression makes sense in the context of Stephen combining all the juice to make fruit punch. The numbers 64, 28, and 76 may represent quantities of juice (in some units) that Stephen is combining. However, without further information or context, we cannot determine if the expression accurately represents the combination of these juices.

If the numbers 64, 28, and 76 represent quantities of juice in the same units (such as milliliters or liters), then the expression (64+28+76)/6 would represent the average quantity of juice per unit. The result, 168/6, would be 28. This would imply that each unit (e.g., glass or serving) of the fruit punch contains an average of 28 units of juice.

In summary, mathematically, the expression (64+28+76)/6 is valid. However, without additional context regarding the units or quantities being represented, it is not possible to determine whether the expression accurately describes the process of combining the juices to make fruit punch.

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Answer:

(b) 52.3

Step-by-step explanation:

Given that,

Radius, r = 10

Angle, \(\theta=60^{\circ}\)

We need to find the area of the sector. The formula for the area of the sector is given by :

\(A=\dfrac{\theta}{360}\pi r^2\\\\=\dfrac{60}{360}\times \dfrac{22}{7}\times (10)^2\\\\=52.3\ \text{unit}^2\)

Hence, the correct option is (b).

Therefore , the solution of the given problem of percentage comes out to be $387.704 is the weekly unemployment amount.

In mathematics, a percentage is any amount that can be stated as a proportion of 100. Also occasionally used are the abbreviations "pct.," "pct," or "pc." But the "%" mark is usually used to indicate it. The proportional amount is flat and lacks any dimensions. Since percentages have a numerator of 100, they can be thought of as fractions. A number should be preceded by the percent sign (%) to denote it is a percent.

Here,

Given :

A weekly unemployment amount is calculated using the following three components:

1. Determine the quarterly wage total (consecutive)

2. Multiply the sum by 26.

3.Multiplying by the rate of unemployment

Calculate the total of a quarterly salaries first:

=> (12950.80 + 12250.10) / 26

=>  25,200.9/26

=> 969.26 * 40 %

=> 387.704

Therefore , the solution of the given problem of percentage comes out to be $387.704 is the weekly unemployment amount.

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The mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).

To find the mean number of movies the students saw, you need to calculate the average of the given data. Here are the reported numbers of movies seen by the 6 students: 14, 11, 15, 19, 12, 10.

To calculate the mean, you sum up all the reported numbers and divide by the total number of students. In this case, the total number of students is 6.

So, let's calculate the mean:

(14 + 11 + 15 + 19 + 12 + 10) / 6 = 81 / 6 = 13.5

Therefore, the mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).

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Using the unitary method, we found out that the cost of 6.5 ounces of a medium soft serve is $3.64.

What is meant by the unitary method?

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, and then multiplying that value to determine the required value. This method allows us to calculate both the value of many units from the value of one unit and the value of one unit from the value of many units. In the unitary technique, the value of a unit or one quantity is always counted first, and the values of additional or fewer quantities are then determined. This method is known as the unitary method for this reason.

Given,

The cost of an ounce of medium soft serve = $0.56

The amount of soft serve in a medium size  = 6.5 ounces

We are asked to find the cost of the total amount of soft serve in a medium size.

This can be done using the unitary method.

If 1 ounce = $0.56

Then for 6.5 ounces, the cost is = 6.5 * 0.56 = $3.64

Therefore using the unitary method, we found out that the cost of 6.5 ounces of a medium soft serve is $3.64.

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Answer:

(4 - 5y)(2 + 3x)

Step-by-step explanation:

Given

8 - 10y + 12x - 15xy ( factor the first/second and third/fourth terms )

= 2(4 - 5y) + 3x(4 - 5y) ← factor out (4 - 5y) from each term

= (4 - 5y)(2 + 3x) ← in factored form

The value of angle RPQ in the circle is 115 degrees.

Using angles of intersecting chord theorem, If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

Therefore,

∠RPQ = 1  / 2 (arc angle RQ + arc angle SA)

arc angle RQ = 175 degrees

arc angle SA = 55 degrees

Hence,

∠RPQ  = 1 / 2 (175 + 55)

∠RPQ  = 1 / 2 (230)

∠RPQ  = 115 degrees.

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Answer: 115 degrees

Step-by-step explanation:∠

RPQ  = 1 / 2 (175 + 55)

∠RPQ  = 1 / 2 (230)

∠RPQ  = 115 degrees.

Answer:

Domain: [ -9, + infinity)

Range: ( - infinity, 5]

Step-by-step explanation:

The domain of a function refers to the set of possible input values of x. The range of a function refers to the set of possible output values of y.

[ ], brackets are used to indicate that the endpoint is included in the interval, and the parenthesis ( ) are used to indicate that it is not.

Always read the graph from left to right, bottom to top.

Answer:

9/10 > 78/100

Step-by-step explanation:

We can make 9/10 into 90/100, and since they now have the same denominator (Bottom number in fraction), we can now compare the numerators (Top number in fraction). 90 is greater than 78 so we can say that 9/10 > 78/100 (9/10 is greater than 78/100).

Answer:

The value of a is -1.

Step-by-step explanation:

The line of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves.

For a quadratic function in standard form, \(y=ax^2+bx+c\), the line of symmetry is a vertical line given by \(x=-\frac{b}{2a}\).

We know that the quadratic equation, \(y=ax^2+8x-3\), has x = 4 as line of symmetry. Therefore, the value of a is:

                                                         \(4=-\frac{8}{2a}\\\\4=-\frac{4}{a}\\\\4a=-4\\\\a=-1\)

Answer:

a=-1

Step-by-step explanation:

so that the other person could get brainliest

Nech sa páči dúfam že pomôže

Answer:

70

Step-by-step explanation:

Answer:

Nothing left

Step-by-step explanation:

Nothing left

2/7+4/5=38/35

1 3/35

Answer:

\(\frac{1}{7}\)

Step-by-step explanation:

Amount of cake Rani ate = \(\frac{2}{7}\)

You need to understand that her brother ate 4/5 of the remaining part, not of the entire cake, so we need to figure out the actual amount out of the entire cake first before calculating how much is left.

Amount of cake brother ate = \(\frac{4}{5}\) × (\(\frac{7}{7}\) - \(\frac{2}{7}\))

                                               = \(\frac{4}{5}\) × \(\frac{5}{7}\)

                                               = \(\frac{4}{7}\)

Amount of cake left = \(\frac{7}{7}\) - \(\frac{2}{7}\) - \(\frac{4}{7}\)

                                 = \(\frac{1}{7}\)

Answer:

`298,483

Step-by-step explanation:

Answer:

a. lines intersecting at a single point

b. one solution

Step-by-step explanation:

a. The equations can be rewritten as:

y = -5x+23 and y = -1/6x+1

Comparing the equations with standard equation: y=mx+c, where m is the gradient of the line formed by the linear equation.

Since the gradient of the lines are different then the lines cannot be parallel and will intersent at one point.

b. The equation will have one solution as below.

The equations can be rewritten as:

5x+y=23

5x+30y=30

Subtracting both equation will result in,

29y=7

=> y=7/29

Hence x= 660/29

2f(3,1)

To use the midpoint rule to estimate the value of the double integral of a function f(x,y) over the region R=[0,6]x[0,6], we need to divide the region R into a grid of subintervals, with m subintervals in the x-direction and n subintervals in the y-direction. In this case, m=n=3, so we divide each side of the region R into 3 subintervals of equal length.

The midpoint rule states that the approximation of the integral is given by the sum of the areas of the rectangles formed by the subintervals, where the height of each rectangle is given by the value of the function at the midpoint of the subinterval.

To implement the midpoint rule, we first need to determine the width and height of each subinterval. The width of the subintervals in the x-direction is given by (6-0)÷3 = 2, and the width of the subintervals in the y-direction is also given by 2. The height of each rectangle is given by the value of the function f at the midpoint of the subinterval.

We can then evaluate the double integral by summing the areas of the rectangles formed by the subintervals. For example, the first rectangle would have a height equal to the value of the function at (0+2)÷2=1 and a width of 2, so its area would be 2f(1,1). The second rectangle would have a height equal to the value of the function at (2+4)÷2=3 and a width of 2, so its area would be 2f(3,1)

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The probability that the donor has type AB blood is P ( AB ) = 7 %

The probability that the donor has type A or B blood is P ( A or B ) = 60 %

The probability that the donor is not type O = 57 %

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the percentage of donors that have Type O blood = 43 %

Let the percentage of donors that have Type A blood = 38 %

Let the percentage of donors that have Type B blood = 12 %

Let the percentage of donors that have Type AB blood = 7 %

Now , the probability is

The probability that the donor has type AB blood is P ( AB ) = 7 %

The probability that the donor has type A or B blood is P ( A or B ) = percentage of donors that have Type A blood + percentage of donors that have Type B blood

On simplifying , we get

The probability that the donor has type A or B blood is P ( A or B ) = 60 %

And , The probability that the donor is not type O = 1 - percentage of donors that have Type O blood

The probability that the donor is not type O = 57 %

Hence , the probabilities are solved

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The complete question is :

The American Red Cross says that about 43% of the U.S. population has Type O blood, 38% Type A, 12% Type B, and the rest Type AB

Find the probability that the donor has type AB blood

Find the probability that the donor has type A or type B blood

Find the probability that the donor is not Type O blood

Answer:

what is to do here

\( \sqrt[8]{40} = 4 \\ 5\)