50 Points! Multiple choice algebra question. Photo attached. Thank you!

Answer:

17 years old

Step-by-step explanation:

cathleen- C

Brody- B

b+6=c

c+b=1/2(56)

b+6+b=1/2(56)

2b+6=28

   -6  -6

2b=22

/2. /2

b=11

11+6=c

17=c

cathleen is 17 years old

hopes this helps please mark brainliest

Answer:

10 pieces

Step-by-step explanation:

basically you divide 7.5 by .75 which equals 10.

You do that because you are seeing how many 3/4 inch pieces are in 7 and a half inches of ribbon and 7 1/2 = 7.5     and     3/4= .75

Answer:

12

Step-by-step explanation:

a^2+b^2=c^2

9^2+b^2=15^2

81+b^2=225              subtract 81 from both sides

b^2=144                     square root b^2 and 144

b=12

Hope this helps :)

Answer:

x = 12

Step-by-step explanation:

96 / 24 = 4, 28/ 7 = 4, assuming that it dilated by 4, so use 4 to multiply 25, 4 x 25 = 100 so 6x+28 = 100 then plug it in 6(12) + 28 = 100., 100 = 100

To check use a^2 + b^2 = c^2

28^2 + 96^2 = (6(12)+28)^2

784 + 9216 = (72+28)^2

784 + 9216 = 100^2

784 + 9216 = 10000

10000 = 10000

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Answer:

Is it a square? If so, then the other side would be a 98 since all sides in a square are equal

Step-by-step explanation:

From the resulting solution, the correct linear inequality graph is Graph C.

Given the inequality equation below:

2(2x-1)+7< 13 or -2x+5 ≤ -10.​

Simplify the expression

2(2x-1)+7< 13

Expand

4x - 2 + 7 < 13

4x + 5 < 13

4x < 13 - 5

4x < 8

x < 2

For the inequality -2x+5 ≤ -10.

-2x+5 ≤ -10

-2x  ≤ -15

x  ≥ 7.5

Hence the solution to the given system of inequalities are x < 2 and x  ≥ 7.5

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Answer:

They lost a total of -12 yards.

Step-by-step explanation:

Do the calculation.

5- 13= -8

-8 + 2 + 6= 0

0 - 12 = -12

Answer:

7/3 or 2 1/3

Step-by-step explanation:

8/3 -2/6

Need a common denominator

Multiply 8/3 × 2/2

16/6 - 2/6

Subtract the numerators

14/6

simplify

7/3 or 2 1/3

All angles are 90 degrees.Rhombus: All sides are of equal length.Square: All angles are 90 degrees and all sides are of equal length

a) To construct a triangle in GeoGebra, we can follow the steps below:

Step 1: Open GeoGebra and select the ‘Polygon’ tool.

Step 2: Select the ‘Triangle’ option.

Step 3: Click three points anywhere on the graph.

Step 4: Once you have drawn the triangle, you can use the ‘Angle’ tool to measure all the angles in the triangle. Similarly, use the ‘Length’ tool to measure the length of each side of the triangle.To identify the type of triangle, we can use the following properties:Acute Triangle: All angles of the triangle are less than 90 degrees.Right Triangle: One of the angles in the triangle is 90 degrees.Obtuse Triangle: One of the angles of the triangle is greater than 90 degrees.Scalene Triangle: All sides of the triangle are of different lengths.Isosceles Triangle: Two sides of the triangle are of the same length.Equilateral Triangle: All sides of the triangle are of the same length.To construct a quadrilateral in GeoGebra, we can follow the steps below:

Step 1: Open GeoGebra and select the ‘Polygon’ tool.

Step 2: Select the ‘Quadrilateral’ option.

Step 3: Click four points anywhere on the graph.

Step 4: Once you have drawn the quadrilateral, you can use the ‘Angle’ tool to measure all the angles in the quadrilateral. Similarly, use the ‘Length’ tool to measure the length of each side of the quadrilateral.To identify the type of quadrilateral, we can use the following properties:Irregular Quadrilateral: All sides and angles of the quadrilateral are of different lengths and measures.Trapezium: Only one pair of opposite sides is parallel.Parallelogram: Opposite sides are parallel.Rectangle:.b) Since we need to add a screenshot of the work done in GeoGebra, we cannot add it here. However, while you construct the triangle and the quadrilateral, you can keep adding the measure of angles and sides to find the properties of the figure. You can then use the Text command available in GeoGebra to describe the type of triangle or quadrilateral that you have constructed. To use the Text command in GeoGebra, follow the steps below:

Step 1: Select the ‘Text’ tool from the toolbar

.Step 2: Click anywhere on the graph to add the text box.

Step 3: Type the text in the text box.

Step 4: Customize the font, color, and size of the text as required.

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Answer:

C. $7.15

Step-by-step explanation:

3.5(11)= 38.5

2.85(11)= 31.35

38.5-31.35=7.15

Answer:

min: 56

lower quartile: 70

median: 74

upper quartile: 80

max: 86

The answer of the given question based on Statistics to find minimum monthly premium payments is option D) Plan 2, since it has lower monthly premium payments.

Probability is  measure of  likelihood or chance of an event occurring. It is expressed as  number between 0 and 1, where 0 indicates an impossible event and 1 indicates  certain event

Assuming that the coverage details are similar, we can compare the monthly premium payments for each plan based on the different categories of coverage:

Individual: Plan 1 has a monthly premium of $87.32, while Plan 2 has a monthly premium of $11.77. Therefore, Plan 2 has the lower monthly premium for this category of coverage.

Individual+Spouse: Plan 2 has a monthly premium of $735.00, while Plan 1 has a monthly premium of $890.00. Therefore, Plan 2 has the lower monthly premium for this category of coverage.

Individual+Child: Plan 2 has a monthly premium of $606.00, while Plan 1 has a monthly premium of $750.00. Therefore, Plan 2 has the lower monthly premium for this category of coverage.

Individual+Family: Plan 2 has a monthly premium of $1,400.00, while Plan 1 has a monthly premium of $1,600.00. Therefore, Plan 2 has the lower monthly premium for this category of coverage.

Based on these comparisons, we can see that Plan 2 has a lower monthly premium for all categories of coverage. Therefore, the answer is option D: Plan 2, since it has lower monthly premium payments.

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The tables which shows a proportional relationship between x and y are table 3 and table 4.

Using ratio to find the proportional relationship

Table 1

x : y = 8 : 8

= 1 : 1

x : y = 12 : 10

= 6 : 5

Not proportional

Table 2:

x : y = 2 : 3

x : y = 3 : 8

Not proportional

Table 3:

x : y = 5 : 3

x : y = 10 : 6

= 5 : 3

Proportional

Table 4:

x : y = 4 : 1

x : y = 16 : 4

= 4 : 1

Proportional

Ultimately, table 3 and table 4 shoes a proportional relationship between x and y.

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Answer:

  Annual interest rate is 2.5%

Step-by-step explanation:

I = Prt

262.50 = 3000 * r * 3.5

262.50 = 10500r

r = 0.025 or 2.5%

Answer:

14 apples will be left

Step-by-step explanation:

there

Answer:

125

Step-by-step explanation:

The function values are f(10) = 198 and g(-6) = 24/7; the range of h(x) is 3/5 < h(x) < 31/25 and the inverse function is p-1(x) = -(1 + 3x)/(5 + x)

Given that

f(x) = 2x^2 - 2

g(x) = 4x/(x - 1)

So, we have

f(10) = 2(10)^2 - 2 = 198

g(-6) = 4(-6)/(-6 - 1) = 24/7

Here, we have

h(x) = (7x - 4)/5x

Where

1 < x < 5

So, we have

h(1) = (7(1) - 4)/5(1) = 3/5

h(5) = (7(5) - 4)/5(5) = 31/25

So the range is 3/5 < h(x) < 31/25

Here, we have

P(x) = (5x - 1)/(3 - x)

So, we have

x = (5y - 1)/(3 - y)

This gives

3x - xy = 5y - 1

So, we have

y(5 + x) = -1 - 3x

This gives

y = -(1 + 3x)/(5 + x)

So, the inverse function is p-1(x) = -(1 + 3x)/(5 + x)

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Answer:

i really don't know because i'm only in 7th grade but if this helps then yea

Step-by-step explanation:

Step 1: Set up the synthetic division. ...

Step 2: Bring down the leading coefficient to the bottom row.

Step 3: Multiply c by the value just written on the bottom row. ...

Step 4: Add the column created in step 3.

Answer:

Step-by-step explanation:

Answer:

6 4/5

Step-by-step explanation:

He has 1 1/5 lb. He needs 8 lb.

He needs the difference between 8 lb and 1 1/5 lb, so this is a subtraction problem. We must subtract 8 lb - 1 1/5 lb.

8 - 1 1/5 =

We cna subtract the 1 from the 8, but we need a fraction with fifths at the 8 in order to subtract 1/5 from it. We borrow 1 from 8 leaving 7, and we write the 1 as the fraction 5/5. Now we have

= 7 5/5 - 1 1/5

We subtract 1 from 7 leaving 6, and we subtract 1/5 from 5/5 leaving 4/5.

= 6 4/5

Answer: 6 4/5

Answer:

150 banquets

Step-by-step explanation:

\(\boxed{\boxed{\pink{\bf \leadsto Option \ A \ is \ correct .}}}\)

Given that , Paul needs 27 plants to fill his garden and has $99 to spend. Lilies cost $5 each and tulips cost $2 each.

Now we need to find which set of linear equations represent the above situation. So ,

Sum of number of lilies and tulips is 27 .

\(\implies \bf n( Tulips) + n(Lilies ) = 27 \\\\\bf\implies \boxed{ \bf l + t = 27 }\)

Now , cost of each lily is $5 and tulip is $2 . And he has $99 in total . So ,

\(\bf\implies n_{tulips} \times cost_{tulip} + n_{lilies} \times cost_{lilies} = Money \ that \ Paul \ has. \\\\\bf \implies t\times \$2 + l \times \$5 = \$ 99 \\\\\implies \boxed{\bf 2t + 5l =\$ 99 }\)

Hence we can see that our ans matches with option (a) which is ,

\(\red{\bf Option \ A}\begin{cases} \bf l + t = 27 \\\\\bf 2t + 5l = 99 \end{cases}\)

To determine how many thousands make a crore, we need to understand the numerical system used in India and some other countries.

In the Indian numbering system, a crore is equal to 10 million. Additionally, the term "thousand" refers to a grouping of three zeros (1,000). Therefore, to find out how many thousands make a crore, we need to divide the value of a crore by 1,000.

Mathematically, we have:

\(\sf \text{1 crore} = 10,000,000\)

\(\sf \text{1 crore} \div \text{1,000} = 10,000\)

So, there are 10,000 thousands in a crore.

In summary, there are 10,000 thousands in a crore.

Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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Answer:

58º

Step-by-step explanation:

angles on a straight line = 180º

90 + 32 = 122

180 - 122 = 58