Pedro had $14.90 in his wallet. He spent $1.25 on a drink. How much does he have left?
(a) Estimate the answer by rounding to the nearest whole numbers before subtracting.
(b) Find the difference. Show your work (steps).
(c) Check your answer. Is it reasonable? How do you know? Explain.

Answers

Answer 1

Pedro has $13.65 in his wallet left.

How to find money in Pedro's wallet?

Pedro had $14.90 in his wallet.

He spent $1.25 on a drink.

How much does he have left: 14+90 - 1.25 = 13.65

Pedro has $13.65 in his wallet left.

The difference is $1.95.

Problem solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.

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need help with this problem

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Check the picture below.

Find the 57th term of the arithmetic sequence -13,-29,-47,….

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Answer:

answer -909 photo with solution is attached

To make cupcakes Leah uses 1/2 cup of chocolate chips for evry 1 1/3 cups of batter if Leah uses 3/4 cups of chocolate chips how many cups of batter should she use

Answers

Answer:

2

Step-by-step explanation:

Leah uses 1/4 cup of chocolate chips for 2/3 cups of batter, so if Leah uses 3/4 cup of chocolate chips, she should use 2 cups of batter.

End of semester geometry Semester A question 6


Select the correct answer.
Given:

Prove:



By the linear pair theorem, is supplementary to . Since , by the definition of congruence, . Applying the substitution property of equality, . Simplifying the equation, .

What step is missing from this proof?

A.
is supplementary to by the transitive property.
B.
by the definition of supplementary angles.
C.
by the definition of congruence.
D.
by the linear pair theorem.

Answers

Answer:

by the definition of congruence.

Step-by-step explanation:

for plato

In solving the following system of equations, how many equations do you need to multiply in order to use the method of elimination?

Equation 1: −5x−20y=−15 Equation 2: 2x + 8y = 6

A. Two
B. None
C. One

Give the solution to the system above
A. No solution
B. (3, 7)
C. IMS
D. ( -2, 5)

Answers

Answer:

a and d i think

Step-by-step explanation:

Complete the table of ordered pairs for the linear equation

Answers

Answer:

Step-by-step explanation:

See attachment.

-6 • f(-3) - 5 • g(-7) =
please help

Answers

18f + 35g
Simplify each term.

Answer:

18f+35g

Step-by-step explanation:

Negative six times negative three will be equivalent to positive f, as negative negative five times negative seven equals thirty-five.

If [tex]a + ar + ar^{2} + ... = 15[/tex] and [tex]a + ar^{2} + ar^{4} + ar^{6} + ... = 9[/tex], then what is the sum of the geometric series [tex]a + ar^{3} + ar^{6} + ar^{9} + ...[/tex]?

Answers

Notice that

a + ar³ + ar⁶ + ar⁹ + ... = a + r³ (a + ar³ + ar⁶ + ...)

but the grouped sum on the right side is the same as the sum on the left side. This means that, if the sum we want to compute

a + ar³ + ar⁶ + ar⁹ + ...

converges to S, then

S = a + r³ S

Solve for S :

S - r³ S = a

(1 - r³) S = a

S = a/(1 - r³)

Similarly, knowing the value of the first sum, we have

a + ar + ar² + ar³ + ... = a + r (a + ar + ar² + ...)

but we know

a + ar + ar² + ... = 15

so

15 = a + 15r

and knowing the value of the second sum, we have

a + ar² + ar⁴ + ... = a + r² (a + ar² + ar⁴ + ...)

so

9 = a + 9r²

Solve these two equations for a and r :

15 = a + 15r   ⇒   a = 15 - 15r

9 = a + 9r²   ⇒   9 = 15 - 15r + 9r²   ⇒   3r² - 5r + 2 = (3r - 2) (r - 1) = 0

⇒   r = 2/3 or r = 1

We cannot have r = 1, since that would mean

a + a + a + ... = 15

since the left side is adding infinitely many copies of some constant; such a sum can never converge to a finite number. So it must be that r = 2/3, and it follows that a = 15 - 15 (2/3) = 5.

Then the sum we want has a value of

S = 5/(1 - (2/3))³ = 135/19

Answer:

Step-by-step explanation:

  a + ar¹ + ar² + ar³ + ... = 15       #1

r(a + ar¹ + ar² + ar³ + ...) = 15r

       ar¹ + ar² + ar³ + ... = 15r      #2

subtract #2 from #1

a = 15 - 15r

     a + ar² + ar⁴ + ar⁶ + ... = 9         #3

r²(a + ar² + ar⁴ + ar⁶ + ... )= 9r²

         ar² + ar⁴ + ar⁶ + ... = 9r²       #4

subtract #4 from #3

a = 9 - 9r²

15 - 15r = 9 - 9r²

9r² - 15r + 6 = 0

3r² - 5r + 2 = 0

r = (5 ±√(5² - 4(3)(2))) / (2(3)

r = (5 ± 1) / 6

r = 1

or

r = 4/6 = 2/3

if r = 1 then a = 15 - 15(1) = 0 and a series of zeros added together can never equal 15 so r = 2/3 must be true.

a = 15 - 15(2/3) = 5

   a + ar³ + ar⁶ + ar⁹ + ... = C           #5

r³(a + ar³ + ar⁶ + ar⁹ + ...) = Cr³

         ar³ + ar⁶ + ar⁹ + ... = Cr³          #6

subtract #6 from #5

a = C - Cr³

a = C(1 - r³)

C = a/(1 - r³)

C = 5/(1 - (2/3)³)

C = 5/(1 - 8/27)

C = 5/(19/27)

C = 5(27/19)

C = 135/19 = 7.1052631578947368....

please help fast fast fast

Answers

Answer:

the answer is

[tex]the \: answer \: is \: b[/tex]

How to find domain of (1/x-3)(x^2-x-12)

Answers

Set denominator to zero and solve for x.

x^2 - x - 12 = 0

Factor.

(x - 4)(x + 3) = 0

Solve each factor for x.

x - 4 = 0

x = 4

x + 3 = 0

x = -3

Answer:

The domain is ALL REAL NUMBERS except for x = 4 and x = -3.

What is 1.8 added 8 times? (IF YOU CAN PLS DO IT IN EXPLANATION) and this is about decimals and pls do it in grade five type, bc I won't be able to understand anything too big for me, example: (e^(4^(2)
Thank you

Answers

Answer:

14.4

Step-by-step explanation:

1.8 added 8 times = 1.8 * 8

1.8 * 8

use distributive property

1.8 = 1 + 0.8

1.8 * 8 = (1+0.8) * 8

          = 1*8 + 0.8*8

anything multiplied by 1 equals itself

1*8 + 0.8*8 = 8 + 0.8 * 8

0.8 = 8/10

0.8 * 8 = (8/10) * 8

           = 64/10

            = 6.4

8 + 0.8 * 8 = 8 + 6.4 = 14.4 as our answer

the two windows shown are similar. What is the height of the larger window?​

Answers

Answer:

The height of the larger window is 15.36 units.

Step-by-step explanation:

Let the height of the larger window be h.

The width and height of smaller window are 5 and 8 respectively.

The width and height of smaller window are 9.6 and h respectively.

It is given that both windows are similar. The corresponding sides of similar figures are proportional.

\frac{5}{9.6}=\frac{8}{h}

9.6

5

=

h

8

5h=8\times 9.65h=8×9.6

5h=76.85h=76.8

Divide both sides by 5.

h=\frac{76.8}{5}=15.36h=

5

76.8

=15.36

Therefore the height of the larger window is 15.36 units.

Assume running consumes 95 cal per mile. If you run 9- minute miles, what is your average power output in watts

Answers

so (95/9)x2x60 Cal used in (1/9)x60 mile run in 2 hr or 120 min
95/9= about 10.5 cal/min
1 cal= 4.2J/S
(10.5 x 4.2)/60= 0.735 watts

which relation is a function?​ PLEASE HELPPPPP

Answers

Step-by-step explanation:

in the first

x =2y

actually I don't think that I can get the last two relations

SOEMONE PLEASE TELL ME DID I CLICK THE RIGHT ONE
PLEASE PLEASE HELP ME

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Answer:

Yes.

Step-by-step explanation:

I had a problem just like this and you are correct.

Nadia is a stockbroker. She earns 12% of commission each week. Last week, she sold 4,500 worth of stocks. How much did she make last week in commission? If she averages that same amount each week, how much did she make in commission in 2011?

Answers

Answer:

540 last week

52X540.=$28,080 a year

Step-by-step explanation:

May has 10 sticker sheets with 8 stickers each and 15 pages with y stickers each. How many stickers does she have total.

A. (10 x 8) + (15y)

B 10 x ( 9 + 15 + y)

C. 10 + 8 + 15 + y

D, (10 x 15) + (8y)

Answers

Answer:

A

Step-by-step explanation:

Which inequality represents the graph? x ≥ (y + 3)2 + 1 x ≤ (y + 3)2 + 1 x ≥ (y – 3)2 + 1 x ≤ (y – 3)2 + 1

Answers

The graph of each of the inequalities are created using a graphing tool as follows;

Graph 1; x ≥ (y + 3)² + 1

The domain = 1 ≤ x ≤ ∞

The range = -∞ < y < ∞

Graph 2; x ≤ (y + 3)² + 1

The domain = -∞ ≤ x ≤

The range = -∞ < y <

Graph 3; x ≥ (y - 3)² + 1

The domain = 1 ≤ x ≤ ∞

The range = -∞ < y < ∞

Graph 4; x ≤ (y - 3)² + 1

The domain = -∞ ≤ x ≤ ∞

The range = -∞ < y < ∞

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Answer:

c or x ≥ (y-3)^2+1

Step-by-step explanation:

Which number line represents the number 0.7

Answers

Answer:

What number like?

Answer: The answer is C.

The question I assume you are talking about is in the image.

What is the answer to the following question?

Answers

Answer:

  SAS similarity

Step-by-step explanation:

You have two side ratios and the angle between the sides with those ratios. The appropriate similarity theorem is SAS.

someone please help me giving brainlist

Answers

Answer:

A

Step-by-step explanation:

What is the eighth term of the arithmetic sequence defined by the rule A(n) = -12 + 2(n-1)?

Answers

Tn = a + d * (n-1)

T8 = -12 + 2*7

= -12 +14

= 2

given the equation f(x)=-2x²+4x+6 find the average rate of change from x=1 and x=2​

Answers

Answer:

16

Step-by-step explanation:

1) Plug x=1 into equation

f(x) = -2(1)²+4(1)+6

f(x) = -2²+4+6

f(x) = 4+4+6

y = 14

(1,14)

2) Plug in x=2 into equation

f(x) = -2(2)²+4(2)+6

f(x) = -4²+8+6

f(x) = 16+8+6

y = 30

(2,30)

3) Use slope formula ([tex]\frac{y2-y1}{x2-x1}[/tex])

[tex]\frac{30-14}{2-1}[/tex]

[tex]\frac{16}{1}[/tex]

16

What is 50 million + 32 hundred thousands + 41 hundred

Answers

Answer:

82041000

Step-by-step explanation:

50,000,000 + 32,000,000 + 41,000

Please help me on this!!! I’d really appreciate it!!!

Answers

Answer:

B

Step-by-step explanation:

4. This diagram is a straightedge and compass construction of a line perpendicular to line AB passing through point C. Which segment has the same length as segment EA.

a. EC

b. ED

C. BE

d. BD​

Answers

Answer:

Segment ED has the same length as EA

The line segment which is equal to EA is ED. Therefore, option B is the correct answer.

In the given diagram, a line perpendicular to line AB passes through point C.

What is the tangent to the circle?

A tangent to a circle is a line which intersects the circle at only one point. The common point between the tangent and the circle is called the point of contact.

The length of two tangents drawn from an external point to a circle is equal.

From the given figure we can see there are three circles, two large circles and one small circle.

Line segment EA is tangent to a small circle.

The line segment which is equal to EA is ED because ED is another tangent to a small circle from the same external point.

The line segment which is equal to EA is ED. Therefore, option B is the correct answer.

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Austin is running. The number of calories he has burned varies directly with the number of minutes he has run. See the graph below. 400 350+ 300 250 + Calories burned 200+ 150 100+ 50+ 0 20 10 30 80 Number of minutes

a) how many minutes does austin run per calories burned?

b) what is the slope of the graph?​

Answers

Answer:

223454353.000000000000000000

Step-by-step explanation:

A refrigeration system of 60 kW capacity at an evaporator temperature of – 40°C and a condenser temperature of 20°C is needed in a food storage locker. The refrigerant R134a is sub-cooled by 10°C before entering the expansion valve. The vapour is 0.98 dry as it leaves the evaporator coil. The compression in the compressor is of adiabatic type.

What are the odds of choosing a blue marble from a bag that contains two blue marbles, one green marble and four red marbles?

Answers

Answer:

1/3

Step-by-step explanation:

2 blue 1 green 4 red

y=5/9x+9, find the slope

Answers

the slope would be 4/9

Use the formula to evaluate the infinite series. Round to the nearest hundredth if necessary.

Formula for a converging infinite series. a1 is the first term and r is the common ratio.

A. 4
B. 1.33
C. 5.33

Answers

Answer:

4

Step-by-step explanation:

This is an infinite geometric series. This has a sum of  

Where

a is the first term, and

r is the common ratio (one term divided by the previous term)

Let's figure out the first 2 terms by plugging in n = 1 first and then n = 2 for the series.

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