emilio bought 5.65 of green grapes and 3.07 pounds of red grapes

The values of the expressions are -17/3, -29/3 and 13/3

The equation is given as:

z-​4/​4+​8= z + 9

Rewrite properly as

[tex]\frac{z-4}{4}+8= z + 9[/tex]

Subtract 8 from both sides

[tex]\frac{z-4}{4}= z + 1[/tex]

Multiply through by 4

z - 4 = 4z + 4

Evaluate the like terms

3z = -8

Divide by 3

z = -8/3

Substitute z = -8/3 in z - 3, z - 7 and z + 7

z - 3 = -8/3 - 3 = -17/3

z - 7 =  -8/3 - 7 = -29/3

z + 7 =  -8/3 + 7 = 13/3

Hence, the values of the expressions are -17/3, -29/3 and 13/3

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Answer:

Step-by-step explanation:

Answer:

The third option. he didnt make a mistake

Step-by-step explanation:

Answer:

Gabi did not make a mistake.

Step-by-step explanation:

To find j, Gabi needs to multiply both sides of the equation by 10. 80*10 = 800, so therefore j = 800. Both steps are correct.

Using proportions, it is found that the number of hours for which she practiced her role on Tuesday is:

[tex]\frac{5}{9}[/tex]

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

On Wednesday, she practiced 5/6 of an hour, and on Tuesday she practiced 2/3 of Wednesday's amount, hence the number of hours she practiced on Tuesday was of:

[tex]n = \frac{5}{6} \times \frac{2}{3} = \frac{10}{18} = \frac{5}{9}[/tex].

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Answer:

240

Step-by-step explanation:

h+c=320

c=3h ( since 3 times the cheeseburger)

Now plug in 3h for C

h+3h=320 =  4h=320

Now divide 320 by 4 to get "h" alone

h=80

now plug 80 back t the eqation of c=3h

so now it is...

c=3 x 80

which is 240

so ur andswer is 240

Answer:

[tex]\frac{\sqrt{15} }{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{f(\frac{3}{2} )[/tex] , substitute [tex]\frac{3}{2}[/tex] to x

[tex]f(\frac{3}{2} )=4(\frac{3}{2} )-(\frac{3}{2} )^2[/tex] = [tex]\frac{15}{4}[/tex] or 3.75

[tex]\sqrt{f(\frac{3}{2} )[/tex]=[tex]\sqrt{3.75}[/tex] = [tex]\frac{\sqrt{15} }{2}[/tex]

The heights of the gondola are the same at 8.019 seconds and 26.446 seconds

Ferris wheel 1

The given parameters are:

The above means that:

The sine function is represented as:

y = Asin(2π/T)t + c

Where

c = Amplitude - Minimum

c = 7 - 1.5

c = 5.5

So, we have:

y = 7sin(2πt/16) + 5.5

y = 7sin(πt/8) + 5.5

Shift to the left by π/2

y = 7sin(πt/8 - π/2) + 5.5

Ferris wheel 2

The given parameters are:

The above means that:

The sine function is represented as:

y = Asin(2π/T)t + c

Where

c = Amplitude - Minimum

c = 8 - 2

c = 6

So, we have:

y = 8sin(2πt/20) + 6

y = 8sin(πt/10) + 6

Shift to the left by π/2

y = 8sin(πt/10 - π/2) + 6

Hence, the equations of the wheels are y = 7sin(πt/8 - π/2) + 5 and y = 8sin(πt/10 - π/2) + 6

See attachment for their graphs

From the attached graph, we have:

f(x) = g(x) = 12.5 at x = 8.019

f(x) = g(x) = 9.511 at x = 26.446

Hence, the heights of the gondola are the same at 8.019 seconds and 26.446 seconds

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Answer: 15cm and 5cm

Step-by-step explanation:

A rectangle's area is the product of the length and width

Given length x and width y, 2x+2y = 40 and x*y = 75.

Verifying my answer:

2(15)+2(5) = 40

30+10 = 40

40 = 40

15*5 = 75

75= 75

This is a week late so I hope this helped.

The length and the width of the rectangle​ are 15cm and 5cm respectively

The given parameters are:

Area (A) = 75

Perimeter (P) = 40

The area of a rectangle is LW, while the perimeter is 2(L + W)

So, we have:

LW = 75

2(L + W) = 40

Divide by 2

L + W = 20

Make L the subject

L = 20 - W

Substitute L = 20 - W in LW = 75

(20 - W)W = 75

Expand

20W - W^2 = 75

Rewrite as:

W^2 - 20W + 75 = 0

Expand

W^2 - 15W - 5W + 75 = 0

Factorize

(W - 15)(W -5) = 0

Split

W - 15 = 0 or W - 5 = 0

Solve for W

W = 15 or W = 5

Recall that:

L= 20 - W

So, we have

L = 20 - 15 or L = 20 - 5

This gives

L = 5 or L = 15

Hence, the length and the width of the rectangle​ are 15cm and 5cm respectively

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Answer:

E.  5

Step-by-step explanation:

Define the variables:

Given information:

Use the given information and the defined variables to create two equations:

[tex]\implies \sf 6b = 13f[/tex]

[tex]\implies \sf 2f = 5g[/tex]

Rewrite the second equation to isolate f:

[tex]\implies \sf \dfrac{2f}{2}=\dfrac{5g}{2}[/tex]

[tex]\implies \sf f = 2.5g[/tex]

Substitute this into the first equation to get an expression with just bleeps and geebles:

[tex]\implies \sf 6b = 13(2.5g)[/tex]

[tex]\implies \sf 6b = 32.5g[/tex]

Finally, divide both sides by 6 to isolate b:

[tex]\implies \sf \dfrac{6b}{6}=\dfrac{32.5g}{6}[/tex]

[tex]\implies \sf b=5.42g\;(2\:d.p.)[/tex]

Round 5.42 to the nearest integer  →  5

Therefore, N = 5

Step-by-step explanation:

Solve from the least onwards

Then

So

5 is correct most

Option E

Answer:

C

Step-by-step explanation:

The area of a rectangle is lw or length * width.

We can add the parts to make up the whole of each side.

Thus, for the entire width, we have 4x+3 and for the entire length we have 8 + 5x.

To solve for area in terms of x, we just multiply our width and length, which gives us:  

[tex](4x+3)(8+5x)\\32x+20x^2+24+15x\\20x^2+47x+24[/tex]

Answer:

vhggghkhy

Step-by-step explanation:

ggggggggghgghggggggggggggggggggggggggggggggggggg jjhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

The triangle with points at (2, 4), (4, 2), (9, 6) was reflected across the line y = 3 to get the points (2, 2), (4, 4), (9, 0)

Transformation is the movement of a point from its initial point to a new location. Types of transformation are reflection, rotation, translation and dilation.

The triangle with points at (2, 4), (4, 2), (9, 6) was reflected across the line y = 3 to get the points (2, 2), (4, 4), (9, 0)

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Answer:

the scale factor is either 4 or 1/4 depending if you are going from the model to the actual or the actual to the model.

Step-by-step explanation:

s= scale factor

2s = 8  Divide both sides by 2

x = 4

If I do the other way:

8s = 2 Divide both sides by 8

s = 1/4

The approximate value of cos theta in the quadrant indicated is 0.4232

Given the expression below;

sin theta = -0.906

Determine the value of theta

sin theta = -0.906

theta = arcsin(-0.906)
theta = -64.95 degrees

In the 4th quadrant;

theta = 360 - 64.95

theta = 295.04 degrees

Determine the value of cosine theta

Cos theta = cos 295.04
cos theta = 0.4232

Hence the approximate value of cos theta in the quadrant indicated is 0.4232

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The volume of the storage bin given the radius and heights is 1050.79ft³.

The volume of the storage bin is the sum of the volume of the cylinder and the cone. A cylinder is a three-dimensional object that is made up of a prism with a circular base.

Volume of a cylinder = πr²h

Where:

3.14 x 5.7² x 7.5 = 765.14 ft³

A cone is a three dimensional object that tapers from its circular base to its apex.

Volume of a cylinder = 1/3πr²h

Where:

1/3 x 3.14 x 5.7² x 8.4 = 285.65 ft³

Volume of the container =  285.65 ft³ + 765.14 ft³ = 1050.79ft³

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Parameterize each line segment from [tex](x_0,y_0,z_0)[/tex] to [tex](x_1,y_1,z_1)[/tex] by

[tex]\vec r(t) = (1-t) (x_0\,\vec\imath + y_0\,\vec\jmath + z_0\,\vec k) + t (x_1\,\vec\imath + y_1\,\vec\jmath + z_1\,\vec k[/tex]

with [tex]0\le t\le1[/tex]. The work done by [tex]\vec F[/tex] on the particle along each segment is given the line integral of [tex]\vec F[/tex] with respect to that segment,

[tex]\displaystyle \int_{C_i} \vec F \cdot d\vec r = \int_0^1 \vec F(\vec r_i(t)) \cdot \dfrac{d\vec r_i(t)}{dt} \, dt[/tex]

• (3, 0, 0) to (3, 5, 1)

[tex]\vec r_1(t) = 3\,\vec\imath + 5t\,\vec\jmath + t\,\vec k[/tex]

[tex]W_1 = \displaystyle \int_0^1 \left(t^2\,\vec\imath + 75t\,\vec\jmath + 50t^2\,\vec k\right) \cdot \left(5\,\vec\jmath + \vec k\right) \, dt \\\\ ~~~~~~~~ = \int_0^1 (375t + 50t^2) \, dt = \frac{1225}6[/tex]

• (3, 5, 1) to (0, 5, 1)

[tex]\vec r_2(t) = 3(1-t)\,\vec\imath + 5(1-t)\,\vec\jmath + \vec k[/tex]

[tex]W_2 = \displaystyle \int_0^1 \left(\vec\imath + 75(1-t)\,\vec\jmath + 50 \,\vec k\right) \cdot \left(-3\,\vec\imath - 5\,\vec\jmath\right) \, dt \\\\ ~~~~~~~~ = -3 \int_0^1 \,dt = -3[/tex]

• (0, 5, 1) to (0, 0, 0)

[tex]\vec r_3(t) = 5(1-t)\,\vec\jmath + (1-t)\,\vec k[/tex]

[tex]W_3 = \displaystyle \int_0^1 \left((1-t)^2\,\vec\imath + 50(1-t)^2\,\vec k\right) \cdot \left(-5\,\vec\jmath - \vec k\right) \, dt \\\\ ~~~~~~~~ = \int_0^1 (-50 + 100t - 50t^2) \, dt = -\frac{50}3[/tex]

Then the total work done by [tex]\vec F[/tex] on the particle is

[tex]W = W_1 + W_2 + W_3 = \boxed{\dfrac{369}2}[/tex]

Answer:

≈ 9613.64 mph

Step-by-step explanation:

First we convert ft/s to ft/hr.

14100 ft/s*3600 = 50,760,000 ft/hr

Now we convert the feet to miles.

50,760,000 ft/hr ÷ 5280 ≈ 9613.64 mph

So in conclusion, 14100 ft/s is approximately 9613.64 mph.

Step-by-step explanation:

charging the phone for 1 minute ,it has 2%

i.e,1----->2

After 2 minutes from that time ,i.e total 3 minutes

it has 6% charge

i.e,3--------->6

from the both the above cases ,1 minute provide 2%=6/3

=2

Hence,

for getting 50%charge=50/2

=25 min

and,for 90 %charge=90\2

=45 min

The pints of vegetable stock the chef needs is [tex]3\frac{1}{2}[/tex].

The first step is to determine the unit of conversion of cups to pints.

1 cup = 0.5 pints

To convert cup to pints, multiply 7 by 0.7

7 x 0.5 = 7/2 = [tex]3\frac{1}{2}[/tex]

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The option that is better is that compounded twice annually with 61.5 interest than the simple interest for 60.

Simple interest is the amount obtained from a money invested or loaned over a specific period of time with a specific interest rate.

Analysis.

Let the principal to be used be 600

Compound interest compounded annually twice, which means the tenor of interest is two years.

first year interest

I = PRT/100

P= 600, R = 5%, T = 1

I = 600 x 5 x 1/ 100 = 30

Principal for second year = principal first year + interest

                                          = 600 + 30 = 630

interest for second year = 630 x 5 x 1/ 100 = 31.5

Compound interest  = 30+31.5 = 61.5

For simple interest, duration is 2 years,

I = PRT/100

I = 600 x 5 x 2/100 = 60

In conclusion, The account that earns 5% compounded twice annually is the better one since it accrues more interest.

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Hello,

2,75 % = 2,75/100 = (2,75 × 100)/(100 × 100) = 275/10000 = 11/400

For a solution to be the solution to a system, it must satisfy all the equations of that system. There exists no solution for the system of equations.

For a solution to be the solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at a single point(as we need a common point, which is going to be the intersection of course)(this can be one or many, or sometimes none)

For the three equations,

2x−2y+6z=16

3x+3y−4z=−5

x−y+3z=9

Solve the first equation for x,

2x−2y+6z=16

x = 8 + y - 3z

Now substitute the value of x in both the equations, if the two equations are satisfied, then the equation will have a solution, if it's not then no solution exists.

[tex]3\left(8+y-3z\right)+3y-4z=-5\\6y-13z+24=-5\\\\\\ 8+y-3z-y+3z=9\\ 8=9[/tex]

Hence, There exists no solution for the system of equations.

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The price of a painting in the year 2022 will be $ 568,000.

A rise in the amount of a certain product or service is known as inflation.

Given data;

Cost of painting in the year 2021, P₁ = $560,000

Cost of painting in the year 2022, P₂ =?

The amount increases every year,x = $8,000

The cost of painting in the year 2022 is found as;

P₂ = P₁ + x

P₂= $560,000 + $8,000

P₂ = $ 568,000

Hence the price of a painting in the year 2022 will be $ 568,000.

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Answer:

3:4

Step-by-step explanation:

If you divide both sides by 7, you shall get 3:4

Using the combination formula, it is found that 525 combinations can be created.

The order in which the employees are chosen is not important, hence the combination formula is used to solve this question.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem:

Then the number of combinations is given by:

[tex]n = C_{7,3}C_{6,2} = \frac{7!}{3!4!} \times \frac{6!}{2!4!} = 525[/tex]

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Answer:

A.  butterscotch

Step-by-step explanation:

The flavor of candy that is most likely to be picked is the flavor with the highest probability.

To find the highest probability, order the decimals from smallest to largest.  When ordering decimal numbers, always compare the digits immediately after the decimal point first, i.e. the 'tenth place'.

Therefore, from inspection of the table, the probabilities in order of smallest to largest are:  0.095 < 0.125 < 0.21 < 0.57

So the flavor with the highest probability of 0.57, and therefore the flavor that is most likely to be picked, is butterscotch.

Here

As butterscotch has highest probability it is most likely to be randomly picked

The expression 1.54x10^28 not in scientific notation form is 15400000000000000000000000000

The expression is given as:

1.54x10^28

Evaluate the product

1.54x10^28 = 15400000000000000000000000000

Hence, the expression 1.54x10^28 not in scientific notation form is 15400000000000000000000000000

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Using proportions, it is found that the same job will take Mrs. Squirrel 6 hours.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The times are given as follows:

The ratios are as follows:

Turtle/Squirrel = Squirrel/Pigeon.

Hence:

[tex]\frac{3}{x} = \frac{x}{\frac{1}{48}}[/tex]

[tex]x^2 = \frac{3}{48}[/tex]

[tex]x^2 = \frac{1}{16}[/tex]

[tex]x = \sqrt{\frac{1}{16}}[/tex]

x = 1/4.

It takes 1/4 of a day for Mrs. Squirrel to do the job, hence 1/4 x 24 hours = 6 hours.

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Answer:

water pollution or any one of them.

Step-by-step explanation:

Technically, these are all issues in the Netherlands.

However, based on a statista opinion chart of Netherland concerns, the biggest concern at the moment is pollution.

So, picking any of these might work because they are all issues - but I found that the environmental one is most likely to be correct.

Answer:

Water pollution

Explanation:

"Crime (48 percent) and environmental pollution (45 percent) are most often seen as (very) serious problems." - cbs

The required slope of A is 1 or Ф = 45° and for B is infinte or Ф = 90°

use the m=y2-y1/x2-x1 to find the slope of the line that goes through each pair of points A.(5,7) and (-4,-2) B.(1,3) and (1,-10)

slope is define as the angle at which line is inclined and for draw tangent over a curve.

m=y2-y1/x2-x1

For, A (5, 7),(-4, -2)
m=-2-7/-4-5
m=1
or TanФ=1
Ф = 45°

For, B(1, 3), (1,-10)
m=-10-3/1-1
m= ∞ or Ф = 90°

Thus the required slope of A is 1 or Ф = 45° and for B is infinte or Ф = 90°

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