calculate the size of a and b respectively in the diagram below​

The number of marbles Peter had when he arrived home was 43 marbles

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

Given data ,

The number of marbles Peter had on his way home = 171

The amount of marbles he lost on his way home = ( 3/4 ) th

Now , the amount of marbles Peter have left = 1 - amount of marbles he lost on his way home

The amount of marbles Peter have left = 1 - 3/4

                                                                = ( 1 / 4) th

So , The number of marbles Peter had left when he arrived home is =

Amount of marbles Peter have left x Number of marbles Peter had

The number of marbles Peter had left when he arrived home is = (1/4) x 171

= 171 / 4

= 42.75

≈ 43 marbles

Hence , the number of marbles Peter had left when he reached home is 43

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Answer:

99

Step-by-step explanation:

1, 3, 5,... 50th?

arithmetic sequence:

d=3-1=2, a1= 1, n= 50

an= a1 + d (n-1)

an= 1 + 2 (n-1)

a50= 1 + 2 (50-1)

a50= 99

Answer:

x = 1

Step-by-step explanation:

x / 5 = 5 / 25,

Divide the denominators bigger one to smaller one, then that is the numerator for the larger fraction.

do 5 divided by 5 which is 1

Or a more simple way,

1/5 = 5/25   multiply 1/5 by 5 top and bottom which gets 5 / 25

Answer:

x = 1

Step-by-step explanation:

Step 1: Cross-multiply

x*(25) = (5)*(5)

Step 2: Divide both sides by 25.

Answer is 1

Answer:

rectangle

Step-by-step explanation:

a kite and a rhombus both have acute angles

Answer:

6.3333

Step-by-step explanation:

Answer:

6.3333

Step-by-step explanation:

Answer:

y=-7x+1

Step-by-step explanation:

Answer:Her friend is right Danielle needs to work for 5 hours

Step-by-step explanation:

hope this help

Answer:

Were is the graph

Step-by-step explanation:

show me the graph

Answer:

$19 per sweater <3

Answer:

-36

Step-by-step explanation:

Step-by-step-explanation

The first thing you would do is multiply both numbers inside the parenthesis by -3.

You would get -21 + (-15) or you could just wrtie -21 - 15, whichever is easier for you.

Then you'd simply add both -21 and -15 together, and you get -36. :D

Answer:

Step-by-step explanation:

Why are you asking? Why isn't your friend?

The diagram assumes that the angle on the lower left of the triangle is a right angle. If it is not, then I don't think there is a way that this can be solved.

Tan(A) = opposite / adjacent

opposite = 7

Adjacent = 4

Tan(A) = 7/4 = 1.75

A = inverseTan (1.75)

A = 60.60 degrees

Answer:

R=60

S=55

T=65

Step-by-step explanation:

[tex]\boldsymbol{m\angle R, m\angle S, m\angle T}[/tex] are equal to [tex]\boldsymbol{60^{\circ},55^{\circ},65^{\circ}}[/tex] respectively.

According to angle sum property of a triangle, sum of all angles of a triangle is equal to [tex]\boldsymbol{180^{\circ}}[/tex]

Let [tex]m\angle R=x[/tex]

As [tex]m\angle T[/tex] is [tex]5^{\circ}[/tex] more than [tex]m\angle R[/tex],

[tex]m\angle T=5^{\circ}+m\angle R[/tex]

[tex]\boldsymbol{m\angle R=m\angle T-5^{\circ}}[/tex]

Also,

[tex]m\angle S[/tex] is [tex]10^{\circ}[/tex] less than [tex]m\angle T[/tex],

[tex]\boldsymbol{m\angle S=m\angle T-10^{\circ}}[/tex]

So,

            [tex]\boldsymbol{m\angle R+m\angle S+m\angle T=180^{\circ}}[/tex]

[tex]m\angle T-5^{\circ}+m\angle T-10^{\circ}+m\angle T=180^{\circ}[/tex]

                       [tex]3m\angle T-5^{\circ}-10^{\circ}=180^{\circ}[/tex]

                                           [tex]m\angle T=\frac{195^{\circ}}{3}[/tex]

                                                    [tex]\boldsymbol{=65^{\circ}}[/tex]

[tex]m\angle R=65^{\circ}-5^{\circ}[/tex]

         [tex]\boldsymbol{=60^{\circ}}[/tex]

[tex]m\angle S=65^{\circ}-10^{\circ}[/tex]

        [tex]\boldsymbol{=55^{\circ}}[/tex]

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Answer:

A

Step-by-step explanation:

The equation of line is y= -4x -23

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. 

The slope of the line is the ratio of the rise to the run, or the rise divided by the run, therefore the change in y coordinate with regard to the change in x coordinate may be expressed as follows. In the coordinate plane, it describes the slope of the line.

Given:

We can take the coordinates from the given graph as (0, 3) and (2, -5)

Now, the slope = (-5 - 3)/ (2 - 0)

slope= -8/ 2

slope= -4

Now, using the point- slope form

(y - [tex]y_1[/tex]) = m(x - [tex]x_1[/tex])

(y- (-3))= -4( x- (-5))

y+3 = -4(x+5)

y+ 3= -4x - 20

y= -4x -23

Hence, the equation of line is y= -4x -23.

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Answer:

r = 24

Step-by-step explanation:

Just reverse everything,

3 x 16 = 48,

48 ÷ 2 = 24,

to double-check,

if you plug in 24 for r then you have,

2(24)/3 = 16

48/3 = 16

16 = 16

Answer:

Sample mean (xbar) = 40

Step-by-step explanation:

Given that :

Sample size (n) = 64

Population mean (μ) = 40

Standard deviation (σ) = 5

The sample mean is equal to the population mean according to the central limit theorem.

The sample standard deviation = standard error = ;

Standard Error = σ / √n

Standard Error = 5 / √64

Standard Error = 5 / 8

Standard Error = 0.625

Answer:

83, 84, 85

Step-by-step explanation:

Answer:

C. You take the tip amount devided by 15%. Thats 0.15. You the get the answer 97.20

Step-by-step explanation:

Answer:

C/  $97.20

Step-by-step explanation:

i did the quiz

Answer:

below in bold

Step-by-step explanation:

f(x) = 2x - 7 - 3

~Combine like terms

f(x) = 2x - 10

When x = 2...

f(x) = 2(2) - 10

f(x) = 4 - 10

f(x) = -6

When x = 3...

f(x) = 2(3) - 10

f(x) = 6 - 10

f(x) = -4

When x = 4...

f(x) = 2(4) - 10

f(x) = 8 - 10

f(x) = -2

Best of Luck!

Answer:

30 kids are present

Step-by-step explanation:

Hey there champ! Basically you wanna divide 40 by 4, or the fraction 1/4 to get the number of kids absent which is 10. From here you subtract 10 from your og class size, 40 and get thirty! Have a great day :)

Answer:

15 - Given a system of two equations, we can produce an equivalent system by replacing one equation by the sum of the two equations, or by replacing an equation by a multiple of itself.

16 - It tells us that two expressions mean the same thing, or represent the same number. An equation can contain variables and constants.

17 - Commutative Properties

Step-by-step explanation:

Answer:

i gotchu babe lol,

14.Associative Property

15. equivalent systems

16. equation

17.Commutative Property

Step-by-step explanation:

i love you so much, i hope this helps you babe.

Answer:

Mean = 0.45

Standard deviation = 0.04035

Step-by-step explanation:

This is actually a very simple problem.

The question gives us the report that 45% of the teenagers in the age bracket own smartphones.

P = mean = 45%

Therefore the mean is 0.45.

I will go ahead to help you calculate the standard deviation.

√p(1-p)/n

n = 152

P = 0.45

√0.45(1-0.45)/152

= √0.45(0.55)/152

= √0.2475/152

= √ 0.001628

= 0.04035

Answer:

8.5

Step-by-step explanation:

-2(x-5)+3=-4

Step 1 distribute

−2+10+3=−4

Step 2 add the numbers

-2x+13=-4

Step 3 subtract 13 from both sides of the equation

−2-13+13=-4-13

Step 4 get ride of the two 13

-2x=-4-13

Step 5 subtract -4 subtract 13

-2x=-17

Step 6 divide -17 by -2

-2x/-17

Step 6 answer

8.5

Answer:

I think its eight

Step-by-step explanation:

8 x 2 = 16 + 8 = 32

Answer:

b= 24

Step-by-step explanation:

They want you to find half of 32 and then add 8.

32÷2= 16

16+8=24

Answer:

meeee plzzzzzzz even thow i have no idea whta that ios

Step-by-step explanation:

Answer:

check the first two and the last one

Step-by-step explanation:

you use multiplying/dividing and adding/subtraction to get the answer

10x+45x-13 = 11(5x+6)

55x-13 = 11(5x+6) combine like terms

55x-13 = 55x+66 distribute the 11 to the 5x and 6

-13 = 66 cancel out equal terms on both sides

the statement is false meaning there is equation has no solution

Answer:

check the first two and the last one

Step-by-step explanation:

Answer: $4.54

1.87+2.67=4.54

I hope this is good enough:

Answer:

The driver will complete 12.25 laps.

Step-by-step explanation:

Each lap takes 42 seconds. ( 210÷5=42)

42×17.5=735

735÷60=12.25

Answer:

5x + 10

Step-by-step explanation:

I did the math and checked. :)