Find the value of x in each case. Give reasons to justify your solutions!

Q ∈ PR

Answer:

50%

Step-by-step explanation:

3 of them walk into a store, giving her a 33.333% chance of winning. By eliminating one, Tina may as well have never walked into the store, leaving Jen with a 50% chance.

Answer:

A.50%

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

Given the following :

Total number of visitors = 350

Sample size = 30

Number selected from each strata is given by:

(Strata size ÷ Total population) × sample size

From the cumulative frequency distribution :

Child - 90

Teen - (210 - 90) = 120

Adult - (350 - 210) = 140

Senior = 0

Strata size of teen = 120

Therefore, number of teen selected is ;

(120 ÷ 350) × 30

0.3428571 * 30 = 10.26 (10 visitors)

Answers:

OQ + QP = OP

OQ = 11

============================================================

Explanation:

The smaller pieces OQ and QP glue together to form the larger segment OP. This is effectively what the Segment Addition Postulate says. This only works if all three points are on the same single line segment.

We know that OP is 17, so QP = 6 adds to the other unknown piece to get 17. The other piece must be 11 units long. Algebraically you could write,

OQ + QP = OP

OQ + 6 = 17

OQ + 6-6 = 17-6 ... subtracting 6 from both sides

OQ = 11

OQ is 11 if OP=17 and QP=6. This is obtained by using Segment Addition Postulate.

If Q is between O and P, then OQ + QP = OP.

Given, OP=17 and QP=6

According to Segment Addition Postulate,

OQ + QP = OP

OQ + 6 = 17

OQ= 17-6 =11

OQ = 11

∴ OQ + QP =17 and OQ = 11

Hence the value of OQ is 11 when OP is 17 and QP is 6.

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Answer:

Angle x=19°

Angle Y=53°  hopes this helps i might be wrong idk

Step-by-step explanation:

Since a right angle is 90° and a straight line is 180°,the other side(71+x)=90.Therefore,90-71=19,which is angle x.There is another straight line,since angle x is 19°.All you have to do is subtract 71+37+19 from 180 to get Angle Y.The answer is 53°.Angle X=90-71=19Angle Y=180-37-71-19

Answer:

5/10

Step-by-step explanation:

0.5 is 5 tenths which is 5/10

Answer:

1.25 kg of icing sugar

3.75 kg of butter

3 kgs of caster sugar

2.75 kgs flour

25 eggs

125g baking powder

Step-by-step explanation:

300/12 x (weight of ingredient)

Answer:

1.25kg icing

3.75kg butter

3kg caster sugar

2.75kg flour

25 eggs

125g baking powder    

Step-by-step explanation:

Above is 6 ingredients that is all part of your answer, but you show 300/12 as your first step in workings , the rest is multiplying by 25 as shown here.

300/12 = 25

25 x 50 = 1250g = 1.25kg

25 x 150 = 3750g = 3.75kg

25 x 120 = 3000g = 3kg

25 x 110 = 2750g = 2.75kg

25 eggs

25 x 5 = 125g

Answer:

The area of triangle ABC is 16 times larger than the area of triangle DEF

Step-by-step explanation:

Step 1: Re-state the input

Given two triangles ABC and DEF are similar with ratio k.

Step 2: Derive the information

Suppose that the triangle ABC is k times larger than triangle DEF.

=> It means that all sides and heights of triangle ABC are k times larger than corresponding sides and heights of triangle DEF.

For example:

AB = k x DE

AC = k x DF

BC = k x EF

=> AB + AC + BC = k x (DE + DF + EF)

=> Perimeter of triangle ABC is k times larger than perimeter of triangle DEF

Step 3: Solve the problem step-by-step

Suppose that AH is the height from vertex A to base BC of triangle ABC and DH' is the height from the vertex D to base EF of triangle DEF.

As the above assumption states:

AH = k x DH'

BC = k x EF

Multiply both sides of the two above equations:

=> AH x BC = DH x EF x k x k

Simplify k components:

=> AH x BC = DH x EF x k^2

Multiply (1/2) to both sides:

=> (1/2) x AH x BC = (1/2) x DH x EF x k^2

Apply the formula to calculate the area of a triangle:

=> Area of triangle ABC = Area of triangle DEF x k^2

In other words:

The area of triangle ABC is (k^2) times larger than area of triangle DEK.

Here, the perimeter of triangle ABC is 4 times larger than the perimeter of triangle DEF => k = 4

Step 4: Make the conclusion

=>The area of triangle ABC is (4^2 = 16) times larger than area of triangle DEK.

Hope this helps!

:)

Answer:

C = 31.4 inches

Step-by-step explanation:

The circumference of a circle is found by

C = pi *d

C =3.14 * 10

C = 31.4 inches

Answer:

C = 31.4 inches

Step-by-step explanation:

To find the circumfrence

C = pixd

C =3.14x10

C = 31.4 inches

Answer:

Step-by-step explanation:

Multiply by the reciprocal of 3/4. That is 4/3

[tex]\frac{11}{1} *\frac{4}{3} =\frac{44}{3}[/tex]

2 doesnt go into 44, but it does go into 42. It goes into 42 fourteen times. Then there is 2/3rds leftover

[tex]\frac{44}{3} ,14\frac{2}{3}[/tex] are both equivalent

Answer:

Cone: 201.92=π×r^2×h×1/3

Cylinder: V=π×r^2×h

So you can see that there is No difference between the two equations except from the Factor 1/3. Without This Factor the volume of the cone would be three Times as big. Therefore, to calculate the Volume of the cylinder, you have do This:

201.92×3

Step-by-step explanation:

Answer:

Anwser is (B)

Step-by-step explanation:

Cone: 201.92=π×r^2×h×1/3

Cylinder: V=π×r^2×h

So you can see that there is No difference between the two equations except from the Factor 1/3. Without This Factor the volume of the cone would be three Times as big. Therefore, to calculate the Volume of the cylinder, you have do This:

Answer:

30 in

Step-by-step explanation:

idk how to explain, so yea:)

Answer: Zoey sells over 50 boxes of cookies

Step-by-step explanation: The hypothesis is the “if” part in an if-then statement.

Answer:

the answer would be c the

third option

the volume of the rectangular prism is 80 cubic centimeters.

The volume of a rectangular prism can be calculated by multiplying its length, width, and height. In this case, the width is 5 cm, the height is 8 cm, and the depth is 2 cm.

Volume = length × width × height

Substituting the given values into the formula:

Volume = 5 cm × 8 cm × 2 cm

Calculating the multiplication:

Volume = 80 cm³

Therefore, the volume of the rectangular prism is 80 cubic centimeters. This means that the prism can hold 80 units of a cubic centimeter, such as water or any other substance.

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Answer:

D

Step-by-step explanation:

0.5 can be written as a fraction and 0.5 doesn't repeat

The number 0.5 is rational and terminating decimal thus option (D) is correct.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

As per the given number, 0.5

Since 0.5 = 5/10 here 5 and 10 both are integers thus it will be a rational number.

Now, 0.5 here the number after the decimal is only one 5 so it is finite thus it will be terminating decimal.

Hence "The number 0.5 is rational and terminating decimal".

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Answer:

-35

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

11-(-24)

35

brianliest please

Answer:

64

Step-by-step explanation:

speed of cyclist = 10 miles per hour

given 1 mile is equal to 1.6 kilometres.

1*10 miles will be equal to 1.6*10 kilometres

thus , 10 mile is equal to 16 kilometres

using 16 km in place of 10 miles in 10 miles per hour

we have

speed of cyclist = 16 kilometres per hour

we know that distance = speed * time

speed is 16 kilometres per hour

time 4 hours

thus , distance = 16*4 kilometres= 64 kilometres.

cyclist will travel 64 kilometres in 4 hours.

Answer:

A'(-5, -3) B'(3, -2) C'(2, 2)

Step-by-step explanation:

count the squares up or down to the x axis from each point and then go the same number of squares on the other side

Answer:

x=-2, y=1

Step-by-step explanation:

y=3x+7

y=-2x+3

Set the two equations equal to each other:

3x+7=-2x-3

Add 2x to both sides:

5x+7=-3

Subtract 7 from both sides:

5x=-10

Divide both sides by 5:

x=-2

Plug back into one of the original equations to find y:

y=3(-2)+7=-15+7=1

Hope this helps!

Answer: approximately 10.4 feet

Step-by-step explanation:

Answer:

a). Distance between the gym and store 9.25 m

b). Meghan will walk 5.637 m along the arc AB.

Step-by-step explanation:

a). Theorem of intersecting chords inside the circle,

When two chords intersect each other in a circle multiplication of their segments are equal.

3×7 = 4a

a = [tex]\frac{21}{4}[/tex]

a = 5.25 m

Distance between the gym and store = 4 + 5.25

                                                               = 9.25 m

b). Length of an arc = [tex]\frac{\theta}{360}\times (2\pi r)[/tex]

                           [tex]\widehat{AB}[/tex] = [tex]\frac{64.6}{360}\times 2\pi (5)[/tex]

                                 = [tex]\frac{646\pi }{360}[/tex]

                                 = 5.6374 m

                                 ≈ 5.637 m

Therefore, Meghan will walk 5.637 m along the arc AB.

Answer:

total temp of 20 winter days

Step-by-step explanation:

Answer:

A: 33.5

B: 24.5

Step-by-step explanation:

Answer:add the cost for all the books for answer one and for number 2 subtract 9 from the total of answer 1.

Step-by-step explanation:

Answer:

There are 20 ways but I will give you 4 :)

1. Multiply the numerator and the denominator by 2:

5/7 x 2/2 = 10/14

2. Multiply the numerator and the denominator by 3:

5/7 x 3/3 = 15/21

3. Multiply the numerator and the denominator by 4:

5/7 x 4/4 = 20/28

4. Multiply the numerator and the denominator by 5:

5/7 x 5/5 = 25/35

Step-by-step explanation:

There you go!

Answer:

$11

Step-by-step explanation:

Total members = 50 ,    Raised amount = $680

If school gives $130 then all the 50 members will pay the remaining amount.

Remaining amount to be paid by the 50 members = $680 - $130 = $550

50 members = $550

1 member = $550/50

1 member = $ 11 ( Answer)

Answer:

10%

Step-by-step explanation:

35 ÷ 100 = 0.35

38.5 - 35 = 3.5

3.5 ÷ 0.35 = 10%

Answer:

Point D

Step-by-step explanation:

Half the distance between B and E is at -4. Point D is at -4, so point X is at point D.

Answer:

k = 3

Step-by-step explanation:

Expand the left side and compare the coefficients of like terms on both sides.

(2x - 1)(kx + 1) ← expand using FOIL

= 2kx² + 2x - kx - 1

Compare the coefficients of the x² term on both sides

2k = 6 ( divide both sides by 2 )

k = 3

Answer:

k= 6x-3/2x-1

Step-by-step explanation:

Answer: (-4, 6)

Step-by-step explanation:

for this question, we can use the substitution method. this is where we substitute the coordinates in the answer choices into the given system of inequalities or equations to determine which one is true.

1. (-4,6)

x + 4y > 12

-4 + 4(6) > 12

20 > 12 is true

now we can substitute the second inequality.

3(6) > -4 + 6

18 > 2 is true, therefore making this set of points true.

it may be helpful to substitute the rest of the values of x and y into the inequalities to verify your answers :

5 + 4(2) > 12

5 + 8 > 12

13> 12 is true

3(2) > 5 + 6

6 > 11 is not true

the rest of the answer choices are also not true.

I hope this helped you!