Caroline and Stephen have played 44 tennis matches.
Caroline has won 23 times.
Stephen won the rest.
a) Estimate the probability that Caroline wins.
b) Estimate the probability that Stephen wins.

Answer:

C. 13

Step-by-step explanation:

Quarters are worth 25 cents each

Nickels are worth 5 cents each

Let n be the number of nickels that Jamar as in his pocket.

We already know that he only has 1 quarter in his pocket which is worth 25 cents, so we can form this equation:

5n + 25 = 90

5 meaning that each nickel is worth 5 cents, 25 meaning that he has only 1 quarter in his pocket (25 cents) and 90 meaning that he has a total of 25 cents in his pocket.

We have to isolate the n so we can subtract 25 from both sides to get:

5n = 65

After that we can get n by dividing 5 from both sides:

n = 13

Therefore there are 13 nickels in his pocket.

Let me know if I did anything incorrectly.

The number of nickels he has is 13. The correct option is C.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that quarters are worth 25 cents each and nickels are worth 5 cents each.

Let n be the number of nickels that Jamar has in his pocket.

We already know that he only has 1 quarter in his pocket which is worth 25 cents, so we can form this equation:

5n + 25 = 90

5 meaning that each nickel is worth 5 cents, 25 meaning that he has only 1 quarter in his pocket (25 cents), and 90 meaning that he has a total of 25 cents in his pocket.

We have to isolate the n so we can subtract 25 from both sides to get:

5n = 65

After that we can get n by dividing 5 from both sides:

n = 13

Therefore, the number of nickels he has is 13. The correct option is C.

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Answer:

A/w = l

Step-by-step explanation:

A = lw

Divide each side by w

A/w = lw/w

A/w = l

Answer:

10

Step-by-step explanation:

not sure please verify

Answer:

B

Step-by-step explanation:

We know that 10'  = 1". We want to find a x and y for 300' = x" and 200' = y". We can do this by figuring out ratios between similar values. For the numbers ending in ', we can say that 300/10 = 30 and 200/10 = 20. Therefore, to get x and y, we can multiply

10' = 1" by 30 on both sides to get

300' = 30"

and multiply by 20 on both sides to get

200' = 20"

Therefore, we can say that 300' by 200' = 30" by 20"

Answer:

Step-by-step explanation:

Prime factorize 121 and 99

121 = 11 * 11

99 = 11 * 3 * 3

Common factor = 11

Answer:

 He Saved 18.664%

Step-by-step explanation:

Well first we need to find the total of the original price of the items he got

then we can solve for how much (in percentage) he saved

We know the original price of the pant as € 34.50 because 5+29.50=34.50

Now lets find out the original price of the shirt

The shirt's original price can be found by using this equation

x * .75 = 17

17/ .75  = x

22.67 = x

Now since we know the prices of these two items lets add them together

34.50 + 22.67 = 57.17

He actually spent

29.50 + 17 = 46.5

Now what percentage of 57.17 is 46.5?

We can use 46.5/57.17 = 0.81336

.81336 *100 =  81.336%

100-81.336 = 18.664

18.664% was saved

Answer:

See answers below

Step-by-step explanation:

For the expression

The sum of two numbers is  25.  The first number is 37 more  than 2 times the second  number

Let the two numbers be x and y

If the sum is 25, then;

x + y = 25 .... 1

37 more  than 2 times the second  the number is expressed as;

37+2y

If the first number is 37 more  than 2 times the second  number, then;

x = 37 + 2y

x - 2y = 37 ...2

This shows that the simultaneous equation that fits the expressions are;

x - 2y = 37

x + y = 25

For the expression

A child has a piggy bank full  of $1 and $2 coins totaling  $37.  There are 25 more $1 coins  than there are $2 coins.

Let x be the $1 coins

Let y be the $2 coins

If a child has a piggy bank full  of $1 and $2 coins totaling  $37, then;

x + 2y = 37 ... 1

Also, if there are 25 more $1 coins  than there are $2 coins, then;

x = 25 + y

x - y = 25 ...2

The equivalent expressions for the statement will be;

x + 2y = 37

x - y = 25

This hence leaves us with the last;

An exam that is worth 37  marks contain 25  questions.  The questions are either  worth 1 mark or 2 marks. The resulting simultaneous equation will be;

x + 2y = 37

x + y = 25

Answer:

EH = 5

Step-by-step explanation:

HF is the perpendicular bisector of EG , then

EH = HG = 5

Answer:

8 1/4 kg

Step-by-step explanation:

Add the weight of the fruits together

3 1/2 + 4 3/4

Get a common denominator of 4

3 2/4 + 4 3/4

7 5/4

7 4/4 + 1/4

8 1/4 kg

Answer:

20 unit²

Step-by-step explanation:

A trapezium is given to us on the grid and we need to find out the area of the trapezium . In order to find the area , we need to find the measure of the parallel sides and the distance between the parallel sides.

From the grid :-

[tex]\rm\implies Side_1 = 7 \ units [/tex]

[tex]\rm\implies Side_2 = 3 \ units [/tex]

[tex]\rm\implies \perp \ Distance =4 \ units [/tex]

Now here we got the two parallel sides of the trapezium and the distance between the two parallel sides. Now we can find the area as ,

[tex]\rm\implies Area_{Trapezium}= \dfrac{1}{2}\times ( s_1 + s_2) \times \perp \ Distance \\\\\rm\implies Area = \dfrac{1}{2} \times ( 7 + 3 ) \times 4 \ unit^2 \\\\\rm\implies Area = \dfrac{1}{2} \times ( 10) \times 4 \ unit^2 \\\\\rm\implies\boxed{\rm Area = 20 \ unit^2}[/tex]

Answer:

-12

Step-by-step explanation:

x=6

g(6)=-2*6=-12. Answered by Gauthmath

Answer:

C (-2,0)

Step-by-step explanation:

Find the point where they intersect. It's (-2,0) on the graph

Answer:

C

Step-by-step explanation:

Looking at the graph, the solution is (-2, 0).

This is because on the x axis, the point is 2 units to left (negative number) and does not move on the y axis (leaving it at 0).

Another way to see this is by plugging in these coordinates into the system of equations:

0 = -2(-2) - 4

0 = 4 - 4

0 = 0

0 = -2 + 2

0 = 0

These are both correct, once again proving the solution is (-2, 0).

Answer:

x = 10

Step-by-step explanation:

8x-12 = 6x+ 8

or, 8x -6x = 8 + 12

or, 2x = 20

or, x = 20/2

so, x = 10

Answer:

10

there is a problem with the question...

IF it was : 8x - 12 = 6x + 8

then the answer would be: 2x = 20 .... x = 10

Step-by-step explanation:

Answer:

B. domain is all integers 0 through 9

Step-by-step explanation:

Domain values area usually plotted along the horizontal axis. In this case, the number of days is the domain of the of the function.

The domain of the function that is plotted on the graph ranges from 0, 1, 2 to 9.

1, 2, 3 to 9 are all integers. Therefore, we can conclude that the "domain is all integers 0 through 9."

Answer:

Surface area = 726 cm²

None of the options is correct.

Step-by-step explanation:

Surface area of the composite figure = surface area of cone + surface area of cylinder - 2(area of base of cone)

✔️Surface area of cone = πr(r + l)

Where,

Radius (r) = 5 cm

Slant height (l) = √(10² + 5²) (Pythagorean theorem)

Slant height (l) = 11.2 cm

Plug in the values

= π*5(5 + 11.2)

= 254.5 cm²

✔️Surface area of the cylinder = 2πr(h + r)

r = 5 cm

h = 15 cm

Plug in the values into the formula

S.A = 2*π*5(15 + 5)

S.A = 628.3 cm²

✔️area of base of cone = πr²

r = 5 cm

Area = π*5² = 78.5 cm²

✅Surface area of the composite figure = 254.5 + 628.3 - 2(78.5)

= 882.8 - 157

= 726 cm² (nearest square meter)

None of the options is correct.

Answer:

f(4) = -14

g(-2) = 22

Step-by-step explanation:

f(x) = -4x+2

Let x = 4

f(4) = -4*4 +2

    = -16+2

   = -14

g(x) = -3x^3 -2

Let x = -2

g(-2)= -3(-2)^3-2

         = -3(-8)-2

        = 24-2

     =22

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

Here,

f(x)=-4x+2

we have to find the value of f(4)

g(x)=[tex]{-3x^3-2 }[/tex]

we have to find the value of g(-2)

[tex]\begin{gathered} \: \: \: \footnotesize{\boxed{\begin{array}{c|c} \\\\{\bf {f(4)}} & {\bf {-14}} \\ \\\\ \text{g(-2)} & \sf{22} \end {array}}}\end{gathered}[/tex]

Answer:

C

Step-by-step explanation:

Answer:

5 + 20 + 6

Step-by-step explanation:

that's how you get

Answer:

(9/4,3/4) or (2.25, 0.75)

Step-by-step explanation:

The dilation is 1/4. We can tell this by looking at (8,12) and (2,3). 8*1/4=2 and 12*1/4=3. So therefore we just need to times 9 and 3 by 1/4. 9*1/4=2.25 or 9/4 and 3*1/4=0.75 or 3/4. so the dilation (9/4, 3/4). I believe this is correct but if I am not please tell me.

Answer:

The answer is number 2. hope that helps

Answer:

(3,-12)

Step-by-step explanation:

the triangle has points A(-2,-2) B(1,-5) and C(-5,-5) the translation of (2 horizontally,-7 vertically)  will cause B to translate to coordinates (3, -12)

Answer:

10

Step-by-step explanation:

P(black bean soup) = cans of black bean / total = 6/12 =1/2

out of the next 20

20 *P(black bean)

20 * 1/2 = 10

You have the right idea. You'll apply a y-axis reflection to go from above the x axis to below it. This allows us to move the red line into the correct vertical position without having to use a vertical translation.

Afterward, you'll shift the red line 4 units to the right to have it line up perfectly with the blue line.

Going from f(x) to -f(x) is the y-axis reflection part

Going from -f(x) to -f(x-4) will shift the line 4 units to the right.

Answer:

x = 69

Step-by-step explanation:

since AB is parallel to CD we can find the value of y with the following equation :

2y - 40 = 66 add 40 to both sides

2y = 110 divide both sides by 2

y = 55

from supplementary angles, we know that the exterior angle's measure is 124

since the sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle

y + x = 124 we found value of y earlier

55 + x = 124 subtract 55 from both sides

x = 69

Answer:

The domain is;

0 < c ≤ 15

Step-by-step explanation:

We are told that Levi's average calories consumed per day is denoted by c.

Now, we are told it is subject to a maximum of 15 calories.

Thus; c ≤ 15

Now,if he is losing weight consistently, then c must be greater than 0.

Thus,the domain is;

0 < c ≤ 15

Answer:

Step-by-step explanation:

5x+4<x-5

5x-x<-5-4

4x<-9

x<-9/4

x=(-∞,...,-4,-3]

Answer:

Step-by-step explanation:

5X + 4 < X - 5

5x - x < -5-4

4x<-1

4x/4 > -1/4

x>-1/4