Hitomi, Ben, and Gayle bought 3 pumpkins that weighed 15 pounds altogether. Ben and
Gayle's pumpkins each weighed the same amount.
Hitomis pumpkin weighed pounds. How much did Gayle's pumpkin weigh?

Answer:

C. 43

Step-by-step explanation:

As per above:

Correct answer choice is C. 43

Answer:

C.) 43

Step-by-step explanation:

I got it right on founders edtell

Answer:

x+5=x÷7+12=x-7=10 it is 30

Answer:

30

Step-by-step explanation:

Given number is x, then:

The number is 30

i believe its 4

Step-by-step explanation:

Answer:

0.48 rad/sec

Step-by-step explanation:

From the diagram:

We can find 'x' using trigonometry :

Tanθ = opposite / Adjacent

Opposite = x ; adjacent = 4

Tanθ = x / 4

x = 4tanθ

Let u = 4 and v = tanθ

If dx/dt = 3ft/s ;

dθ/dt when x = 3ft

Differentiate x with respect to t

dx/dt (4tanθ)

Let d/dθ tanθ = sec^2θ

Sec^2θ = 1 / cos^2θ

dθ/dt = 1/4cos^2θdx/dt

dθ/dt = 1/4cos^2θ(3)

dθ/dt = 3/4cos^2θ

When x = 3ft

Cosθ = Adjacent / Hypotenus

Hypotenus = √(4^2 + 3^2

Hypotenuse = √16 + 9 = √25 = 5

Cosθ = 4/5

dθ/dt = 3/4(4/5)^2

dθ/dt = 3/4(16/25)

dθ/dt = 48/100 = 12/25 = 0.48 rad/sec

Answer:

Step-by-step explanation:

Hello, we assume that x is different from 0 and f different from 2b

[tex]b+\dfrac{3}{x}=\dfrac{f}{2}\\\\\text{Subtract b}\\\\+\dfrac{3}{x}=\dfrac{f}{2}-b\\\\\text{Mulitply by 2x}\\\\+\dfrac{3*2*x}{x}=6=\dfrac{2xf}{2}-2bx=(f-2b)x\\\\\text{Divide by f-2b}\\\\\Large \boxed{\sf \bf x=\dfrac{6}{f-2b}}[/tex]

Thanks

Answer:

Step-by-step explanation:

[tex]3(x+2)=2(2-x)\\\\\mathrm{Expand\:}3\left(x+2\right):\quad 3x+6\\\\\mathrm{Expand\:}2\left(2-x\right):\quad 4-2x\\\\3x+6=4-2x\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\\\3x+6-6=4-2x-6\\\\3x=-2x-2\\\\\mathrm{Add\:}2x\mathrm{\:to\:both\:sides}\\\\3x+2x=-2x-2+2x\\\\Simplify\\\\5x=-2\\\\Divide\:both\:sides\:by5\\\\\frac{5x}{5}=\frac{-2}{5}\\\\x=-\frac{2}{5}[/tex]

Answer:

x = -2

Step-by-step explanation:

The segments described in the question are equidistant (meaning they are the same length). Therefore, using algebraic techniques, we can set these two equal to each other and solve for x.

4x - 8 = 6x - 4 Combine like terms by subtracting 6x from both sides.

-2x - 8 = -4 Combine like terms by adding 8 to both sides.

-2x = 4 Divide by -2 on both sides of the equation.

x = -2

Answer:

multiply 7 by 42

= 294

42 x 7 can be done as mental math, but that is challenging for some people.

Answer: 294

Break up 42 like so: 42 = 40 + 2

Then we can say,

7*(42) = 7*(40+2) = 7*40 + 7*2 = 280 + 14 = 294

The mental math part is knowing that 7*4 = 28, then you add on a zero to get 7*40 = 280. This is added to 7*2 = 14 to get the final answer above.

Answer:

399.17 miles

Step-by-step explanation:

Gunnar's car gets 22.4 miles per gallon. His gas tank can hold 17.82 gallons of gas.

Gunnar's car travels with one gallon of gas = 22.4 miles

He can travel with 17.82 gallon of gas = 17.82 × 22.4

                                                             = 399.168 ≈ 399.17 miles

Gunnar can travel 399.17 miles if he uses all of the gas in the gas tank.

Answer: systematic

Step-by-step explanation:

Given, When grading English papers, the instructor checks every 4th paper for plagiarism which expresses a fixed periodic interval.

Hence, this is systematic sampling.

Answer:

15x^2+2

Step-by-step explanation:

(10x^2 -1 + 4x) + (3 + 5x^2 - 4x)

Combine like terms

10x^2+5x^2+4x-4x-1+3

15x^2+2

Answer:

point?

Step-by-step explanation:

is this a question or a statement

Answer:

Point

Step-by-step explanation:

once two line intersect the area where they intersected becomes a point

Answer:

32 blocks

Step-by-step explanation:

distance between home (0,0) and mall (0,7) = 7

distance between mall (0,7) and movies (9,7) = 9

distance between movies (9,7) and store (9,0) = 7

distance between store (9,0) and home (0,0) = 9

7 + 9 + 7 + 9 = 32 blocks

Answer:

when the lines are opposite and doesnot intersect at any point then the lines are parallel

for example the opposite lines of parallelogram are parallel

when the lines cut each other at one point then we can say that lines are intersecting

hope it helps u

Answer:

When thè lines are parellel and opposte to each other then it is called parellel lines.

When thè lines intersect each other and meet at a point then it is called intersecting lines.

Answer:

1) When this does happen, how many posters will each Avenger have completed?

24 posters each.

2) If x denotes the number of days and y denotes the number of posters, what are the equations needed to solve this problem?

y = 12 + 6x.......... Equation 1

y = 12x .......... Equation 2

Step-by-step explanation:

1) When this does happen, how many posters will each Avenger have completed?

We are told in the question:

Number of days = x

Number of posters = y

Ms. Ironperson has completed 12 posters and will complete 6 more per day.

y = 12 + 6x.......... Equation 1

Mr. Thoro has not started yet but can make 12 per day.

y = 12x................Equation 2

Hence, the equations needed to solve this problem:

y = 12 + 6x.......... Equation 1

y = 12x .......... Equation 2

We substitute 12x for y in equation 1

y = 12 + 6x.......... Equation 1

12x = 12 + 6x

Collect like terms

12x - 6x = 12

6x = 12

x = 12/6

x = 2

Hence, since x = the number of days,

The number of days = 2 days

Substitute 2 for x in Equation 2

y = 12x .......... Equation 2

y = 12 × 2

y = 24 posters.

Since y = number of posters,

number of posters = 24 posters.

We were told in the question that, when Mr Thoro catches up with Ms Ironperson, that would both have completed the same number of posters.

Hence, both Avengers would have completed 12 posters each.

Answer:

c because u can split it only once vertically but it’s not a rotationally symmetrical shape

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

because 3 over 2 plus 1 over 2 is 4 over 2 and 2 fits in 4 2 times so its 2 x but since thats solving for 2 half of that is 1, thus its x=1

The required simplified value of x is x = 1. Option 1 is correct.

Given,
Three halves plus one-half times x equals two x.
To simplify the above expression.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
3/2 + 1/2 x = 2x
3/2 = 2x - 1/2 x
3x / 2 = 3 / 2
x = 1

Thus, the required simplified value of x is x = 1. Option 1 is correct.

Learn more about arithmetic here:

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Answer:

z = 5

Step-by-step explanation:

1.1z+5.5=2.2z

Subtract 1.1z from each side

1.1z-1.1z+5.5=2.2z-1.1z

5.5 = 1.1z

Divide each side by 1.1

5.5/1.1 = 1.1z/1.1

5 = z

Complete question is;

The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.

H0: μ = 4

H1: μ > 4

What type of test is being conducted in this problem? What parameter is being tested?

Answer:

Type of test = right tailed

Parameter being tested = population mean

Step-by-step explanation:

We are given the null and alternative hypothesis as;

H0: μ = 4

H1: μ > 4

Now, let's define terms;

The right tailed test and the left tailed test are both examples of one-tailed tests. This is because the area where we would reject the null hypothesis is only in one tail. Which means that in the case of left tail, the rejection region will occur only to the left of the graph while for the right tail, the rejection region will occur only to the right of the graph.

Whereas, for two tailed test, the area where we would reject the null hypothesis would not just be in one tail or one side of the graph but could be in either tail or either side of the graph. Hence, the name "two - tail".

Now, applying this to the question, the alternative hypothesis says the mean is greater than 4. On, a graph, an increase in number on the x-axis means going to the right. Thus, it is a right tailed test

Now, the sample being tested is population mean because in statistics, the symbol μ is generally used to denote population mean.

Answer:

The angle of slice is approximately 16°.

Step-by-step explanation:

The slice of pizza represent the sector of a circle.

The area of a sector is:

[tex]A=\frac{1}{2}r^{2}\phi[/tex]

Here,

r = radius of the circle

Φ = angle in radians

Given:

A = 20 inches²

r = 12 inch

Compute the angle of the slice as follows:

[tex]A=\frac{1}{2}r^{2}\phi[/tex]

[tex]\phi=\frac{2\times A}{r^{2}}[/tex]

  [tex]=\frac{2\times 20}{12\times 12}\\\\=0.2778[/tex]

The angle us 0.2778 radians.

Convert the angle into degrees as follows:

[tex]\text{Angle}=0.2778\times\frac{180}{\pi}=15.9168\approx 16^{o}[/tex]

Thus, the angle of slice is approximately 16°.

Complete Question

The  complete question is shown on the first uploaded image  

Answer:

The interval is  [tex]-0.0037 < p_1-p_2<-0.0023[/tex]

Step-by-step explanation:

From the question we are told that

   The first  sample size is  [tex]n _1 = 1068000[/tex]

    The  first sample proportion is [tex]\r p_1 = 0.089[/tex]

    The  second sample  size is  [tex]n_2 = 1476000[/tex]

    The  second sample proportion is  [tex]\r p_2 = 0.092[/tex]

Given that the confidence level is  95% then the level of significance is mathematically evaluated as

             [tex]\alpha = (100 - 95 )\%[/tex]

              [tex]\alpha = 0.05[/tex]

Next we obtain the critical value  of  [tex]\frac{\alpha }{2}[/tex]  from the normal distribution table  

The value is  

               [tex]Z_{\frac{\alpha }{2} } =z_c= 1.96[/tex]

Generally the 95% confidence interval is mathematically represented as

       [tex](\r p_1 - \r p_2 ) -z_c \sqrt{ \frac{\r p_1 \r q_1 }{n_1} + \frac{\r p_2 \r q_2 }{n_2}} < (p_1 - p_2 ) < (\r p_1 - \r p_2 ) +z_c \sqrt{ \frac{\r p_1 \r q_1 }{n_1} + \frac{\r p_2 \r q_2 }{n_2}}[/tex]

Here  [tex]\r q_1[/tex] is mathematically evaluated as [tex]\r q_1 = (1 - \r p_1)= 1-0.089 =0.911[/tex]

and  [tex]\r q_2[/tex]  is mathematically evaluated as  [tex]\r q_2 = (1 - \r p_2) = 1- 0.092 = 0.908[/tex]

So

       [tex](0.089 - 0.092 ) -1.96 \sqrt{ \frac{0.089* 0.911 }{1068000} + \frac{0.092* 0.908 }{1476000}} < (p_1 - p_2 ) < (0.089 - 0.092 ) +1.96 \sqrt{ \frac{0.089* 0.911 }{1068000} + \frac{0.092* 0.908 }{1476000}}[/tex]

[tex]-0.0037 < p_1-p_2<-0.0023[/tex]

Answer:

The sample size is  [tex]n =278[/tex]

Step-by-step explanation:

From the question we are told that

    The margin of error is  [tex]E = 100[/tex]

    The standard deviation is  [tex]\sigma = 850[/tex]

Given that the confidence level is  95% then the level of significance is mathematically represented as

       [tex]\alpha = (100-95)\%[/tex]

       [tex]\alpha =0.05[/tex]

Next we obtain the critical value  [tex]\frac{\alpha }{2}[/tex] from the normal distribution table  

  The value  is  [tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]

Generally the sample size is mathematically represented as

       [tex]n = \frac{(Z_{\frac{\alpha }{2}})^2}{E^2} * \sigma^2[/tex]

=>   [tex]n = \frac{(1.96)^2}{100^2} * 850^2[/tex]

=>    [tex]n =278[/tex]

Answer:

[tex] \frac{7}{15} [/tex]

Step-by-step explanation:

[tex] \frac{7}{25} \div \frac{3}{5} = \frac{7}{25} \times \frac{5}{3} = \frac{35}{75} = \frac{7}{15} [/tex]

Hope this helps ;) ❤❤❤

The calculated division of the numbers 7/25 divided by 3/5 is 7/15

From the question, we have the following parameters that can be used in our computation:

7/25 divided by 3/5

When represented as an equation, we have

7/25 divided by 3/5 = 7/25 ÷ 3/5

Represent as a product expression

So, we have

7/25 divided by 3/5 = 7/25 * 5/3

So, we have the following result

7/25 divided by 3/5 = 7/15

Using the above as a guide, we have the following:

the result is 7/15

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Answer:

= -35x² - 31x - 6

Step-by-step explanation:

(-7x -2)(5x+3) = -7x*5x -7x*3 -2*5x -2*3 = -35x² - 21x - 10x - 6

= -35x²  - 31x - 6

Answer: x=1, y=-4

Step-by-step explanation:

There are different ways to solve system of equation

In your case, since they are all put y on one side, then we should use substitution.

we should substitute y

-7x+3=-x-3

-7x+x=-3-3

  -6x=-6

      x=1

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

substitute x into any one of the equation to find y

y=-7x+3

y=-7×1+3

y=-7+3

y=-4

y=-x-3

y=-1-3

y=-4

#CarryOnLearning

Answer:

81π for the x axis.

Step-by-step explanation:

STEP ONE: Determine the intersection.

we are given from the question that y = x^2 and y = 6x − x^2. Therefore if y = x^2, then we will have;

x^2 = 6x - x^2  ---------------------------------------------------------------------------------[1].

Solving and factorizing the equation [1] above give us x = 0 and x = 3 (that is x[6 -2x] = 0 ). Therefore, the point of intersection = (0,0) and (3,9).

STEP TWO: Determine the value for the cross sectional area.

The cross sectional area= [6x - x^2]π - [x2]^2 π. --------------[2].

The cross sectional area = -12 π[x -3]x^2.

STEP THREE: integrate the cross sectional area taking x =3 and x =0 as the upper and lower integration limits or boundaries with respect to dx to determine the vome in the x axis.

volume, v with respect to the x axis = 81π

Answer:

See below.

Step-by-step explanation:

1i

75 = 3 * 5^2

Multiply by 3

1ii

112 = 2^4 * 7

Multiply by 7

1iii

128 = 2^7

Multiply by 2

1iv

243 = 3^5

Multiply by 3

1v

392 = 2^3 * 7^2

Multiply by 2

Answer:

32) a) x = 3/19 ounces

33) d) 0,2 meter per minute

Step-by-step explanation:

32)

7 1/2 = 15/2

47 1/2 = 95/2

95/2 dough             15/2 sugar

  1    dough                     x = (15/2*1) / 95/2

                                       x = (15/2)(95/2)

                                       x = 15/95

                                       x = 3/19 ounces

33)

Distance      16  |    18  |  20  |   22

Time            80  |  90  | 100  |  110

Time 90 - 80 = 10

Distance 18 - 16 = 2

Each 10 minutes go 10 meters

2 / 10 = 0,2 meter per minute

Answer:

the 90% confidence interval is ( 48.684  , 51.316  )

Step-by-step explanation:

Given that :

the sample size = 36

Sample Mean = 50

standard deviation = 4.80

The objective is to calculate a 90% confidence interval.

At 90% confidence interval ;

the level of significance = 1 - 0.9 = 0.1

The critical value for [tex]z_{\alpha/2} = z_{0.1/2}[/tex]

[tex]= z_{0.05}[/tex] = 1.645

The standard error S.E = [tex]\dfrac{\sigma}{\sqrt{n}}[/tex]

=[tex]\dfrac{4.8}{\sqrt{36}}[/tex]

[tex]=\dfrac{4.8}{6}[/tex]

= 0.8

The Confidence interval level can be computed as:

[tex]\bar x \ \pm z \times \ \dfrac{ \sigma }{\sqrt{n}}[/tex]

For the lower limit :

[tex]\bar x \ - z \times \ \dfrac{ \sigma }{\sqrt{n}}[/tex]

[tex]=50 \ - 1.645 \times \ \dfrac{ 4.8 }{\sqrt{36}}[/tex]

[tex]=50 \ - 1.645 \times \ 0.8 }}[/tex]

=50 - 1.316

= 48.684

For the upper limit :

[tex]\bar x \ - z \times \ \dfrac{ \sigma }{\sqrt{n}}[/tex]

[tex]=50 \ + 1.645 \times \ \dfrac{ 4.8 }{\sqrt{36}}[/tex]

[tex]=50 \ + 1.645 \times \ 0.8 }}[/tex]

=50 + 1.316

= 51.316

Thus, the 90% confidence interval is ( 48.684  , 51.316  )

Answer:

I hope this will be the answer... ✌️

[tex]\large{\pmb{\underline{\underline{\sf{Refraction:-}}}}}[/tex]

Refraction is the bending of a light or sound wave, or the way the light bends when entering the eye to form an image on the retina.

[tex]\large{\pmb{\underline{\underline{\sf{Examples~ Of~ Refraction:-}}}}}[/tex]

[tex]{\huge{\underline{\small{\mathbb{\pink{HOPE \ THIS \ HELPED \ UH:)}}}}}}[/tex]

Cheers !! :3