Jocelyn and her children went into a bakery and she bought $9 worth of cookies and brownies. Each cookie costs $0.50 and each brownie costs $3. She bought 4 more cookies than brownies. Graphically solve a system of equations in order to determine the number of cookies, x,x, and the number of brownies, y,y, that Jocelyn bought.

A semicircle has been cut out of a rectangular paperboard that is 20 inches long and 12 inches broad, as seen below. After the semicircle is taken out, the paperboard's remaining perimeter is 34.58 inches.

The paperboard has a length of 20 inches and a width of 12 inches. A semicircle is cut out of it, which means we need to find the perimeter of the remaining part.

The diameter of the semicircle is equal to the width of the paperboard, which is 12 inches. So, the radius of the semicircle is half of the diameter, which is 6 inches.

The perimeter of the remaining part will be the sum of the length of the paperboard and the two straight sides of the semicircle.

The length of the paperboard is 20 inches, and the two straight sides of the semicircle are equal to the diameter of the semicircle, which is 12 inches. So, the perimeter of the remaining part is:

P = 20 + 12 + 12 = 44 inches

However, we also need to subtract the length of the curved part of the semicircle from the perimeter. The length of the semicircle can be found using the formula:

C = πr

where C is the circumference of the semicircle and r is the radius.

Since we have a semicircle, we need to divide the circumference by 2. So, the length of the curved part of the semicircle is:

C/2 = (π x 6) / 2 = 9.42 inches (rounded to two decimal places)

Therefore, the perimeter of the remaining part is:

P = 44 - 9.42 = 34.58 inches (rounded to two decimal places)

So, the perimeter of the remaining paperboard is 34.58 inches.

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Answer:

1) zero

2) undefined

3) negative

4) positive

5) negative y= -30x+342

hope this helps;)

Answer:

Patrick's Change: $4.55

Whitney's Cost: $9.25

Step-by-step explanation:

Patrick's:

Total Cost = 5.69 + 9.76 = 15.45

Total Change = 20.00 - 15.45 = $4.55

Whitney's:

Total Cost: 1.85 * 5 = $9.25

Answer:

5.69+9.76=15.45

20-15.45=4.55

$4.55

1.85

x5

_______

    $ 9.25

Step-by-step explanation:

Answer: the slope of side -3/5

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

$84.12

Step-by-step explanation:

78.99 x 0.065 = 5.13

78.99 + 5.13 = 84.12

The probabilities of Brian and leo  being assigned a window seat on each flight are 1/9

The probability that Brian is assigned a window seat on the flight to his grandmother's house is:

50/150 = 1/3

The probability that LEO is assigned a window seat on the flight home from his grandmother's house is also:

50 window seats/ 150 seats = 1/3

The probability that both Brian and Leo are both assigned window seats on the way to their grandmother's house is:

50 window seats/150 seats  *  49 window seats/  149 seats  = 1/9

Take note that Brian and Leo's chances of getting a window seat on each flight are independent, so we can simply multiply the odds to determine the likelihood of both happening.

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Answer:

D

Step-by-step explanation:

type in my calclater it's

d

Answer:

Option D will be your answer

Step-by-step explanation:

hope it helps you

have a great day

Answer:

1.25

Step-by-step explanation:

Answer:1.25

Step-by-step explanation:

Answer:

its 192 fluid ounces

Step-by-step explanation:

Answer:

192

Step-by-step explanation:

Sorry i don't know how to type my work out. (But i did check my work 3 times you can rest easy because this answer is correct.)

Answer:

The correct answer would be A) on edge.

Step-by-step explanation:

Edge 2021.

Answer:

Here we will show you how to calculate 1/6 divided by 7/8. We will give you the answer in fraction form and in decimal form.

Here is 1/6 divided by 7/8 displayed mathematically in colors:

1

6

 ÷    

7

8

The numbers in 1/6 divided by 7/8 are labeled below:

1 = dividend numerator

6 = dividend denominator

7 = divisor numerator

8 = divisor denominator

To make it a fraction form answer, you multiply the dividend numerator by the divisor denominator to make a new numerator.

Furthermore, you multiply the dividend denominator by the divisor numerator to make a new denominator:

1 x 8

6 x 7

 =    

8

42

Thus, the answer to 1/6 divided by 7/8 in fraction form is:

8

42

Step-by-step explanation:

There are 1140 different possible ways to select 3 restaurants out of 20 for the promotional program.

Combination and permutation are two alternative strategies in mathematics to divide up a collection of components into subsets. The subset's components can be listed in any order when combined. The components of the subset are listed in a permutation in a certain order.The combination formula, which is: can be used to resolve this issue.

n C r = r! * (n-r)!

where r is the number of restaurants to be chosen, and n is the total number of restaurants (20 in this case). (3 in this case).

By replacing these values, we obtain:

20 C 3 = 20! / (3! * (20-3)!) = 20! / (3! * 17!) = (20 * 19 * 18) / (3 * 2 * 1) = 1140

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Answer:

Step-by-step explanation:

Ratio of length : width = 4 : 7

Length = 4x

Width = 7x

Longer side = 31.5 in

⇒ 7x = 31.5

Divide both sides by 7

x = 31.5/7

x = 4.5

length = 4x

           = 4*4.5

         l = 18 in

width =  31.5

       w = 31.5 in

\(\boxed{ \text {Perimeter of rectangle }= 2*l + 2*w}\)

                                      = 2*18 + 2*31.5

                                      = 36 +  63

                                      = 99 in

\(\boxed{ \text{Area of rectangle = l*w}}\)

                             = 18*31.5

                             =  567 in²

Answer:

y = 3x + 1

Step-by-step explanation:

Start with y = ax + b

From both boints you can deduct a as dy/dx = (10-1)/(3-0) = 3

Then by filling in (0,1) you find b = 1.

Answer:

\(y = 3x+1\)

Step-by-step explanation:

The coordinates are (0,1) and (3,10)

Finding the slope first:

=> Slope = \(\frac{rise}{run}\)

=> Slope = \(\frac{10-1}{3-0}\)

=> Slope = \(\frac{9}{3}\)

=> Slope = m = 3

Now, y-intercept = b = 1 (Since here the x-coordinate is equal to 0)

So the equation becomes:

=> \(y = mx+b\)

=> \(y = 3x+1\)

Answer: 72.36

Step-by-step explanation:

To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.

The initial amount of salt in the bowl was 59.16 grams.

Omar added 13.2 grams of salt to the bowl.

To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36

Therefore, the bowl contains 72.36 grams of salt now.

Answer:

8 meters.

Step-by-step explanation:

the formula for the hypotenuse of a right triangle is: \(a^2 + b^2 = c^2\). Where C= hypotenuse and a and b = other sides. We can sub in a and c to get \(6^2 + x^2 = 10^2\\\). Simplify to \(36+x^2=100\). Subtract 36 from both sides to get x^2 = 64. \(\sqrt{64} =8\)

The equation of the parabolic arc that accomplishes this task is:

y = (-k/256)(x - 16)² + k.

In which k is the maximum height of the arc.

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

For this problem, the arc has these following characteristics:

The road under the arc is 20 feet wide with a 6-foot sidewalk on both sides of the road, hence it's total length is of 20 + 2 x 6 = 32 feet, and the peak of the arc will be at h = 16.

Hence:

y = a(x - 16)² + k.

The height is of 0 at x = 0 and x = 32, hence:

0 = 256a + k.

a = -k/256

y = (-k/256)(x - 16)² + k.

In which k is the maximum height of the arc.

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Answer:

(3^2) - n

Step-by-step explanation:

For this problem we will take it step by step to build the expression:

raise 3 to the 2nd power

= 3^2

then find the difference of the result and n

= (3^2) - n

Hence, your final expression should be (3^2) - n.

Cheers.

Answer:

AC:y=x-1  CB:y=-x-5 AB:x=0

Step-by-step explanation:

Consider the triangle. The base AB is on the line x=0, the vertex C is (-2,-3)

The side AC is equal to BC. The angle ACB is 90 degrees. If the base is on the line x=o, it is on the axis Y.Explore the distance from the point C to the AB

c(-2,-3), the distance to the axis Y is equal to the modul of the coordinate x (-2), it is 2. The coordinates of point projected by the point C to the axis Y is N(0,-3). The modul of the height is 2, the height of the isosceles triangle to the base is the bisectrix, so the angle BCA is 90/2=45degrees, CBA is 180-90-45=45 degrees too

the heigt CN is equal to side NB, NB=2

Suppose B is (0,y) (x=0 because the base is on this line)

THe modul of the vector NB is equal to sqrt ((0-0)^2+(y+3)^2)= 2

modul (y+3)= 2

y=-1 or y=-5

(0,-1), (0,-5) - two points, one of them (suppose B) is (0,-5) when A is (0,-1) (A is remote from the point N on the same distance with B, because AB is the median too)

Find CB and AC

Use the equation for AC

(x-0)/(-2-0)= (y+1)/(-3+1)

x/-2= (y+1)/-2

x=y+1

y=x-1

For CB

(x-0)/ (-2-0)= (y+5)/ (-3-(-5))

x/-2= (y+5)/2

-x=y+5

y=-x-5

Answer:

Step-by-step explanation: $130-$70 lift = $60/$20 per hour= 3 hours ski time

Therefore, the rate of change, in cm per minute, of the height when the height is 6 cm is approximately -6 cm/min.

Given,The width of the box = 10 cm Length of the box = 17 cmThe volume of the box = 527 cubic cm/minWe need to find the rate of change, in cm per minute, of the height when the height is 6 cm.We know that the volume of the box is given as:V = l × w × h where, l, w and h are length, width, and height of the box respectively.It is given that the width and length are being held constant.

Therefore, we can write the volume of the box as

:V = constant × h Differentiating both sides with respect to time t, we get:dV/dt = constant × dh/dtNow, it is given that the volume of the box is decreasing at a rate of 527 cubic cm per minute.

Therefore, dV/dt = -527.Substituting the given values in the above equation, we get:

527 = constant × dh/dt

We need to find dh/dt when h = 6 cm.To find constant, we can use the given values of length, width and height.Substituting these values in the formula for the volume of the box, we get:

V = l × w × hV = 17 × 10 × hV = 170h

We know that the volume of the box is given as:V = constant × hSubstituting the value of V and h, we get:

527 = constant × 6 cm

constant = 87.83 cm/minSubstituting the values of constant and h in the equation, we get

-527 = 87.83 × dh/dtdh/dt = -6.0029 ≈ -6 cm/min

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The correct option for the pentagons is:

Option d: The angle measure of the pentagon P'Q'R'S'T' are congruent to the corresponding angle measures of pentagon PQRST.

What is a pentagon?

A geometric figure with five sides and five angles is called a pentagon. A standard pentagon's internal angles add up to 540 degrees. The shape is created when all of a pentagon's sides come together end to end. If a pentagon is regular, all of its sides have the same length, and its five angles are all the same size. An irregular pentagon is one that does not have equal side length and angle measurements.

The complete question is given below.

We will now look into each option.

a) After rotating, the size of the pentagon is the same.

So the area of both pentagons remains the same.

This statement is not true.

b) Congruent figures are identical in terms of both size and shape. Their size and shape are unaltered by reflection, rotation, or translation.

So both the pentagons are congruent.

This statement is not true.

c) The side lengths of the pentagons are not changed. They are just rotated.

So the perimeter of both the pentagons is the same.

This statement is also not true.

d) The corresponding angles of the pentagons are the same and the sizes are the same.

So this is the true statement.

Therefore the correct option for the pentagons is:

Option d: The angle measure of the pentagon P'Q'R'S'T' are congruent to the corresponding angle measures of pentagon PQRST.

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Answer:

see below

Step-by-step explanation:

9 dollars / 33 lbs = .272727 dollars per lb

.39 / 1 lbs = .39 per lb

The large bag is less expensive

Step-by-step explanation:

33lb bag = $9.00

1lb = $0.39

$9.00 bag per pound is $.0.27 per pound

If I bought 33, 1 pound bags it would cost $12.87

cheaper by $ 3.87 to buy the 9lb bag.

Answer:

For every 5dollars spent on decals, 1 dollar is spent on laces

We need to round up to the next higher integer, the sample size required to estimate the mean with an error of +4 and 95 Percent confidence is 170.

To find the sample size to estimate the mean with an error of +4 and 95 percent confidence, we need to use the formula:

n = [(z*sigma)/E]^2

Where:
n = sample size
z = z-score for 95% confidence level (which is 1.96)
sigma = standard deviation (unknown in this case)
E = maximum allowable error (which is +4 in this case)

We are given that o=12, which is the population standard deviation. Since we do not have any information about the sample standard deviation, we can use the population standard deviation as an estimate. Therefore, we can substitute o=12 in the above formula to get:

n = [(1.96*12)/4]^2
n = 169.64

Since we need to round up to the next higher integer, the sample size required to estimate the mean with an error of +4 and 95 percent confidence is 170.

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Answer:

Step-by-step explanation:

Answer:

A and C.

Step-by-step explanation:

We are given that: "The square of a number (which we can call x) is three less than four times the number."

In other words:

\(\displaystyle x^2 = 4x - 3\)

Hence solve for x by isolating the equation and factoring:

\(\displaystyle \begin{aligned} x^2 - 4x + 3 & = 0 \\ \\ (x-1)(x-3) & = 0 \\ \\ x & = 1 \text{ or } x = 3 \end{aligned}\)

In conclusion, our answers are A and C.