Simplify the expression:
10 – 2 (8x – 5)
|

The probability that both marbles are yellow marbles is 1/25

The given parameters are:

Yellow = 2

Total = 10

The probability of selecting the first yellow marble :

P(Yellow) = 2/10

When the marble is returned, we have:

Yellow = 2

Total = 10

The probability of selecting the second yellow marble :

P(Yellow) = 2/10

The required probability is:

P =  2/10 * 2/10

Evaluate

P = 4/100

Simplify

P = 1/25

Hence, the probability that both marbles are yellow marbles is 1/25

Read more about probability at:

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Answer:

this is an triangle.

so the area of triangle =1/2×base×hieght

so let fg be base

area of the triangle=1/2×6cm×5cm

area of triangle=15cm²

Answer:

5 dollars per hour

Step-by-step explanation:

Answer:

5 per hour

Step-by-step explanation:

Divide 10 by 2 to get 5

Q4:

second choice

Q5:

first choice

Hope I helped :)

Answer:

(x-114.5), (x-14.05)

Step-by-step explanation:

Answer attached

Answer:

1.75n

For each visit it costs 1.75, so n visits would be the product of the two.

Step-by-step explanation:

Answer:

1.75n

Step-by-step explanation:

"every time" means multiplication.

Total cost is $1.75 multiplied by n number of trips.

(for instance, if you take 3 trips, it would be 1.75+1.75+1.75, or 1.75*3)

Answer:

Impossible

Step-by-step explanation:

Solve the answer 2-5*28 = -138

This would have no answer since an exponential expression can't equal an negative unless it's a negative answer, but in this case, there is no answer that would get you -138.

Answer:

it's false

Step-by-step explanation:

Answer:

x= -1 or x= -1/2

Step-by-step explanation:

x = -1, x = -1/2, Solve for x:

2 x^2 + 3 x + 1 = 0

The left hand side factors into a product with two terms:

(x + 1) (2 x + 1) = 0

Split into two equations:

x + 1 = 0 or 2 x + 1 = 0

Subtract 1 from both sides:

x = -1 or 2 x + 1 = 0

Subtract 1 from both sides:

x = -1 or 2 x = -1

Divide both sides by 2:

x = -1 or x = -1/2

Answer:

x-2=3*9

x=29

BC=29-2=27

Step-by-step explanation:

Answer:

911.0145

Step-by-step explanation:

60,000 is the initial cost to repay and you add 49,321.74 because of interest

60,000+49,321.74= 109321.74 this is the final cost with interest

you divide by ten because there are ten years and you want it to equal 1 year

109321.74/10= 10932.174 this is the cost per year

last you divide by 12 because thats how many months there are per year

10932.174/12= 911.0145 this is the cost per month

Answer:

42mph.

Step-by-step explanation:

We know that the formula for miles per hour is.

r = d/t

R is our rate or miles per hour.

D is our distance.

T is our time.

In this case our distance is 105 miles.

And our times is 2.5 hours.

Therefore if we substitute them into our formula:

105mi ÷ 2.5hrs = 42mph

Hope this helped!

Answer:

Jersey cost (without discount)= $65

Step-by-step explanation:

First, we need to determine how much he spent on the jersey:

Jersey cost (with discount)= 83.39 - 37.89

Jersey cost (with discount)= $45.5

Now, the original cost of the jersey:

Jersey cost (without discount)= discount cost / (1 - discount)

Jersey cost (without discount)= 45.5 / 0.7

Jersey cost (without discount)= $65

Answer:

it goes up to thirty

it has millimeters displayed in between

Answer:

xz+y-2x-5

Step-by-step equation

You can only combine like terms

The quotient of 2 times some number and four.

Hope this helps and sorry if it is wrong but it’s what I got

Answer:

Step-by-step explanation:

Circle - A = πr²

Semi circle - A= 1/2 πr²

Trapezoid -  A= 1/2 (base 1 + base 2 ) x height

Rectangle - length x width

Triangle - A= 1/2 base x height

Answer:

(see below)

Step-by-step explanation:

A) Trapezoid

    3. A = 1/2 (base 1 + base 2 ) x height

~

B) Circle

    1. A = πr²

~

C) Rectangle

    5. A = length x width

~

D) Semicircle

    4. A = 1/2 πr²

This is half of a circle, so it would be 1/2 of the area of a circle, hence the 1/2.

~

E) Triangle

    2. A = 1/2 base x height

If you cut a rectangle in half diagonally, you have two triangles. So it's half the area of a rectangle. This is one way to think about it, hence the 1/2.

Answer:

we need numbers please is this the full question?

Answer:

54 cents

Step-by-step explanation:

The cost of bookmarks relating to the number of bookmarks is shown in the coordinate grid. x represents the number of bookmarks and y represents the cost of each bookmark in cents.

The equation of a line passing through the points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

From the coordinate grid, it has the points (2, 30) and (7, 90). Therefore, the equation is:

[tex]y-30=\frac{90-30}{7-2}(x-2)\\\\y-30=12(x-2)\\\\y-30=12x-24\\\\y=12x+6[/tex]

Therefore the cost of 4 bookmarks (x = 4):

y = 12(4) + 6

y = 48 + 6

y = 54 cents

Answer:

B

1.09 is the improvement in scores

Step-by-step explanation:

Here is the remaining part of the question : Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The statement is true because 18 - 10 = 8 and the percentage improvement is given by the difference in the percentages of the increase and decrease. B. The statement is false because the reference values for the decrease and increase are not the same. The true improvement over the past two years is (Simplify your answer. Type an integer or decimal rounded to the nearest hundredth as needed.)

let a = scores

If scores decreased by 8% last year, scores that year was (100 - 8%) = 92% = 0.92

scores last year = 0.92a

If scores increased by 18%. It means the score this year is 0.92a x 1.18 = 1.086a

Improvement in scores 1.09

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Work Shown:

Because segment GI is parallel to segment TA, this means triangle VGI is similar to triangle VTA.

From that we can set up the proportion

VG/VT = VI/VA

which breaks down into

VG/(VG+GT) = VI/(VI+IA)

Let's plug in the given values. Let x be the length of segment IA.

Let's solve for x

VG/(VG+GT) = VI/(VI+IA)

72/(72+61) = 95/(95+x)

72/133 = 95/(95+x)

72(95+x) = 133*95 ......... cross multiply

6840+72x = 12635

72x = 12635-6840

72x = 5795

x = 5795/72

x = 80.4861111111111 ......... which is approximate

x = 80.49 ......... rounding to the nearest hundredth

The length of IA is roughly 80.49 units. This is not the final answer. The fact that 80.49 is listed as one of the answer choices seems to imply your teacher put it as a trick answer.

Since we found IA = 80.49, this means,

VA = VI + IA

VA = 95 + 80.49

VA = 175.49

This is the length of segment VA, which is the same as segment AV.

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

Here's a slightly similar way to solve:

VT = VG+GT = 72+61 = 133

VG/VT = VI/VA

72/133 = 95/x

72x = 133*95

72x = 12635

x = 12635/72

x = 175.486111111111

x = 175.49 is the approximate length of segment AV.

Answer: 300,000

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the expression to calculate the radius r of the base of a cone is given by the equation

r=(3V/piH)

v is the volume = 5in^3

H = 4in

pi = 3.14

Substitute

r = 3(5)/3.14(4)

r = 15/12.56

r = 1.19

r = 1in to the nearest inch

Answer:

£1.92

Step-by-step explanation:

3.36/14 will give you the cost of each pencil

£0.24 is the cost of one pencil

8 pencils will cost you £1.92

Answer:

its A

Step-by-step explanation:

Answer:

Step-by-step explanation:

32/13 = 2 6/13

Answer:

its B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer: (3,-1/2)

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

Given that,

GCF of HCF of two numbers = 3

LCM of numbers = 180

First number = 45

Let another number be x.

So,

HCF×LCM = first number × second number

[tex]x=\dfrac{3\times 180}{45}\\\\x=12[/tex]

So, the other number is 12.