Christine went shopping and bought each of her six nephews a gift, either a video costing $14.95 for a CD costing $16.88. She spent $99.35 on the gifts. How many videos and how many CDs did she buy?

Answers

Answer 1

Let v = number of video's she bought

Let c = number of CD's she bought

v+c=16

1495v+1688c=9355

Multiply both sides of (1) by 1495

and subtract (1) from (2)

-1495v-1495c=-8970

193c=386

c=2h


Related Questions

Can you help me image is here which 2 Should I drag

Answers

Answer:

54, 63

Step-by-step explanation:

6 x 9 = 54

7 x 9 = 63

Baldwin Family walked 4/5 of mile in 4/9 of an hour what is their unit rate in mph

Answers

Answer:

1.8 mph

Step-by-step explanation:

Since we know how much they walked in 4/9 of an hour, we will divide 4/5 by 4/9 to get 4/9 to one. They went 1 4/5 mph or 1.8 mph. I hope this helps!

What is the factorization of the polynomial below?
-X^2-15x - 56

Answers

Answer:

[tex]-\left(x+7\right)\left(x+8\right)[/tex]

Step-by-step explanation:

[tex]-X^2-15x - 56\\\\\mathrm{Factor\:out\:common\:term\:}-1\\\\=-\left(x^2+15x+56\right)\\\\=-\left(x+7\right)\left(x+8\right)[/tex]

Answer:

[tex]-(x+7) (x+8)[/tex]

Step-by-step explanation:

[tex]-x^{2} - 15x-56[/tex]

Write - 15x as a difference

[tex]-x^{2} -7x-8x-56[/tex]

Factor out - x from the expression

[tex]-x(x+7)-8x-56[/tex]

Factor out - 8 from the expression

[tex]-x (x+7)-8(x+7)[/tex]

Factor out - (x + 7) from the expression

[tex]-(x+7)x(x+8)[/tex]

Select all the expressions with a product equal to 2/3
A. 4/4 x 2/3
B. 2/3 x 2/3
C. 2/3 x 5/6
D. 5/6 x 23

Plssssss help me now I will mark as brainliest if its correct dont send link (It's a virus) and pls explain answer.

Answers

i did this in school , it would be the first 2 i did it with a friend and those are the answers they got for it

Can some one help me 2⅛-1⅜​

Answers

Answer:

6 / 8 or 3 / 4

Step-by-step explanation:

Subtraction lol

What is the value of x if 10 - 20x = 5?

Answers

Answer:‍♀️

Step-by-step explanation:

How many years ago was 33 ce?

Answers

Answer:

1988 years ago

Step-by-step explanation:

2021 - 33 =

1988

Hope that helps!


The train station clock runs too fast and gains 11 minutes every 10 days.
How many minutes and seconds will it have gained at the end of 8 days?

Answers

One day gains 1.1 minutes (11/10)
1.1*8 = 8.8
So I believe it would be 8 minutes and 40 seconds

A behavioral economist studies transportation habits in an urban center. She identifies 4 bus routes that connect to 3 different light rail routes available to participants in the study. Before she interviews participants, she must determine the number of possible routes participants can choose to use. Which expression represents the number of available options

a. 4!+3!
b. 4×3
c.4!×3!
d. 4!/3!

Answers

Answer:

Total possible routes participants can choose = 4×3 = 12 ways

The correct option is - b. 4×3

Step-by-step explanation:

Given - A behavioral economist studies transportation habits in an

            urban center. She identifies 4 bus routes that connect to 3

            different light rail routes available to participants in the study.

To find - Before she interviews participants, she must determine the

              number of possible routes participants can choose to use.

              Which expression represents the number of available options.

Proof -

Given that ,

Total bus routes = 4

So, number of possible ways she use the bus route = 4

Also,

The 4 bus route connects to 3 different light rail

So, possible ways that she use light rail = 3

∴ we get

Total possible routes participants can choose = 4×3 = 12 ways

The correct option is - b. 4×3

A line passes through the point (-8, -4) and has a slope of 5/2. Write and equation in slope intercept form for this line.

Answers

Answer:

i know this isn't the answer but this should help...

Step-by-step explanation:

Solve for u.
5u - 15 = 10
Solve for u
|5u-15|=10

If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution".
U =
=
No
solution
D

Answers

Answer:

5u-15=10 |+15

5u=25 |:5

u=5

The solution is 25

I hope it helps

have anice day

Make 5u subject of formula
5u=10+15
5u=25
Didn’t both side by 5
U =5

These triangles
are congruent
by the triangle
congruence
postulate [? ].
A. SAS

Answers

Answer:

SAS

Step-by-step explanation:

ITS CORRECT CUZ SAME ANGLE, AND TWO OF THE SAME SIDES

Select‌ ‌the‌ ‌correct‌ ‌answer.‌ ‌ Find‌ ‌the‌ ‌product.‌ ‌ 3(x+4)(x-5)‌ ‌ A.‌ ‌ ‌ 3‌x‌2‌‌ ‌−‌ ‌11‌x‌‌ ‌−‌ ‌20‌ ‌ B.‌ ‌ ‌ 3‌x‌2‌‌ ‌−‌ ‌20‌x‌ ‌ C.‌ ‌ ‌ 3‌x‌2‌‌ ‌−‌ ‌3‌x‌‌ ‌−‌ ‌60‌ ‌ D.‌ ‌ ‌ 3‌x‌2‌‌ ‌−‌ ‌‌x‌‌ ‌−‌ ‌20‌ ‌

Answers

The answer would be A. I believe

What is 5/9=14c-5/12

Answers

Answer:

c=5/72

Step-by-step explanation:

5/9=14c-5/12

Switch sides

14c-5/12=5/9

Add 5/12 tp both sides

14c-5/12+5/12=5/9+5/12

Simplify;

14c-5/12+5/12

=14c

Simplify;

5/9+5/12

LCM of 9, 12;

36

The least common multiplier of a, b is the smallest positive number that is divisible by both a and b.

Prime factorization of 9;

3*3

Prime factorization of 12;

2*6

=2*2*3

=3*3*2*2

=36

5/9=5*4/9*4=20/36

5/12=5*3/12*3=15/36

=20/36+15/36

20+15/36

=35/36

14c=35/36

14c/14=35/36/14

14c/14=c

35/36*14

=35/504

=5/72

Answer c=5/72

Answer to the following question is as follows;

Value of C = 5 / 72

Step-by-step explanation:

Given:

[tex]\frac{5}{9} = 14c - \frac{5}{12}\\\\[/tex]

Find:

Value of C

Computation:

[tex]\frac{5}{9} = 14c - \frac{5}{12}\\\\[/tex]

By taking 5/12 to LHS Side

[tex]\frac{5}{9} + \frac{5}{12} = 14c\\\\[/tex]

By taking LCM;

[tex]\frac{(4)(5) + (3)(5)}{36} = 14c\\\\[/tex]

[tex]\frac{20 + 15}{36} = 14c\\\\[/tex]

[tex]\frac{35}{36} = 14c\\\\[/tex]

By transfer 14 to LHS side

[tex]\frac{35}{36 \times 14 } = c\\\\[/tex]

[tex]\frac{5}{36 \times 2 } = c\\\\[/tex]

[tex]\frac{5}{72} = c\\\\[/tex]

Value of C = 5 / 72

Learn more;

https://brainly.com/question/21481562?referrer=searchResults

Acellus
Alternate exterior angles are congruent.
Which angle forms a pair of alternate
exterior angles with angle 2?
4241
4443
46145
4847
42 =<[?]
Enter

Answers

Answer:

angle 7

Step-by-step explanation:

Answer:

angle 7 angle forms a pair of alternate

exterior angles with angle 2.

ellus
Corresponding Angles are congruent.
Which angle corresponds with <3?
42141
4443
«[?]
45 46
47 48

Answers

Answer:

<8 corresponds with <3

A large tank is filled to capacity with 300 gallons of pure water. Brine containing 5 pounds of salt per gallon is pumped into the tank at a rate of 3 gal/min. The well-mixed solution is pumped out at a rate of 6 gals/min. Find the number A(t) of pounds of salt in the tank at time t. A(t) = 1500(1−e−0.02t) lb How long (in minutes) will it take for the tank to be empty after this process has started? min

Answers

Answer:

(a) [tex]A = 1500(1 - e^{-0.01t})[/tex]

(b) [tex]t = 0[/tex]

Step-by-step explanation:

Given

[tex]V= 300gal[/tex] --- Volume of tank

[tex]B = 5lb/gal[/tex] --- Brine solution

[tex]R_1 = 3gal/min[/tex]  --- Rate in, in gallon/min

[tex]R_2 = 6gal/min[/tex] --- Rate out, in gallon/min

Required

Determine A(t)

First, calculate the rate in (R in) and (R out) in lb/min

[tex]R_{in} = B * R_1[/tex]

[tex]R_{in} = 5lb/gal * 3gal/min[/tex]

[tex]R_{in} = 15lb/min[/tex]

R(out) is calculated by multiply the rate at which brine leaves the tank (lb/gal) * R2

So, we have:

[tex]R_{out} = \frac{A(t)}{300} lb/gal * 3gal/min[/tex]

[tex]R_{out} = \frac{3*A(t)}{300} lb/min[/tex]

[tex]R_{out} = \frac{A(t)}{100} lb/min[/tex]

The change in the amount of brin e in the tank at time t is given as:

[tex]A'(t) = R_{in} - R_{out}[/tex]

[tex]A'(t) = 15 - \frac{A(t)}{100}[/tex]

Rewrite:

[tex]\frac{dA}{dt} = 15 - \frac{A}{100}[/tex]

Multiply through by dt

[tex]dA = [15 - \frac{A}{100}]* dt[/tex]

Make dt stand alone

[tex]\frac{dA}{15 - \frac{A}{100}} = dt[/tex]

[tex]ln|15 - \frac{A}{100}| = -0.01t + ln\ c[/tex]

Express as exponents

[tex]15 - \frac{A}{100} = ce^{-\frac{t}{100}}[/tex]

Multiply through by 100

[tex]1500 - A = 100ce^{-\frac{t}{100}}[/tex]

[tex]A = 1500 - 100ce^{-\frac{t}{100}}[/tex]

[tex]A = 1500 - 100ce^{-0.01t}[/tex]

Apply initial conditions

[tex]A(0) = 0[/tex]

Substitute 0 for t in: [tex]A = 1500 - 100ce^{-0.01t}[/tex]

[tex]0 = 1500 - 100ce^{-0.01*0}[/tex]

[tex]0 = 1500 - 100ce^{0}[/tex]

[tex]0 = 1500 - 100c[/tex]

[tex]100c = 1500[/tex]

[tex]c = 15[/tex]

Substitute 15 for c in [tex]A = 1500 - 100ce^{-0.01t}[/tex]

[tex]A = 1500 - 100*15e^{-0.01t}[/tex]

[tex]A = 1500 - 1500e^{-0.01t}[/tex]

Factorize:

[tex]A = 1500(1 - e^{-0.01t})[/tex]

How long to empty the tank

Set A to 0

[tex]1500(1 - e^{-0.01t}) = 0[/tex]

Divide through by 1500

[tex]1 - e^{-0.01t} = 0[/tex]

Collect Like Terms

[tex]e^{-0.01t} = 1[/tex]

Take ln of both sides

[tex]ln\ (e^{-0.01t}) = ln\ 1[/tex]

[tex]-0.0t = 0[/tex]

[tex]t = 0[/tex]

Which equation represents the standard form of f(x)?
A
f(x) = 2x2 - 7x - 13
B
f(x) = 2x2 - 7x - 22
с
f(x) = 2x2 - 15x + 22
D
f(x) = 2x2 - 7x + 13
QUESTION 2

Answers

Step-by-step explanation:

step 1. the standard form of a quadratic equation is f(x) = ax^2 + bx + c

step 2. since they are all in standard form you need to provide more information.

Is 12/8 less than, equal to, or greater than 11/6?

Answers

Answer:

it's less than

Step-by-step explanation:

12/8 simplified is 3/2

11/6 cannot be further simplified

3/2<11/6

the scientific notation, 170.04 is written as​

Answers

Answer: 1.7004 × 10^2

Step-by-step explanation:

Find the range given the Domain of {0,1,2,3,4} for the function f(x)=x2 - 4x + 3​

Answers

Answer:

x

R

y

1

Step-by-step explanation:

Answer:

[tex]y\geq -1[/tex]

Step-by-step explanation:

see graph below for reference


A pie recipe calls for you to use a cup of milk, 2 cup of oil, and 2 cup of water. How much liquid do you
need to make the pie?

Answers

5 cups of liquid.

this is because 1 + 2 + 2 = 5

1 cup milk
+
2 cups oil
+
2 cups water
=
5 total cups of liquid


please mark brainliest if this helped :)

I drive to McDonalds which is 3x and 4y and is 24 miles altogether but I want to compare it with burger king which is 4x and 3y and 22 miles. Can You work out x and y miles?
do not send a link to download

Answers

Answer: so here is what you have to do

Step-by-step explanation:Determine Whether a Number

Is a Solution to an Equation

2 Solve Linear Equations

3 Determine Whether an Equation Is a Conditional Equation, Identity, or Contradiction

Preparing for Linear Equations

Before getting started, take this readiness quiz. If you get a problem wrong, go back to the section cited and review the material.

P1. Determine the additive inverse of 5.

P2. Determine the multiplicative inverse of - 3.

P3. Use the Reduction Property to simplify 15 # 5x.

P4. Find the Least Common Denominator of 3 and 5 .

8 12

P5. Use the Distributive Property to remove the parentheses: 61z - 22

P6. What is the coefficient of - 4x?

P7. Simplify by combining like terms: 41y - 22 - y + 5 P8. Evaluate the expression -51x + 32 - 8 when x = -2

P9. Isx = 3inthedomainof 2 ?Isx = -3inthe domain? x + 3

[Section R.3, p. 21] [Section R.3, pp. 23–24]

[Section R.3, pp. 25–26] [Section R.3, pp. 27–28]

[Section R.3, pp. 29–30] [Section R.5, p. 41] [Section R.5, pp. 41–43] [Section R.5, pp. 40–41]

[Section R.5, pp. 43–44]

 In Words

In the equation 2

2 + 5 is the left side of the equation and 0 is the right side. In this equation only the left side contains the variable, y. In the equation 4 +5=-2x+10,theexpression

4 + 5 is the left side of the equation and - 2 + 10 is the right side. In this equation both sides have expressions that contain the variable, x.

1 Determine Whether a Number Is a Solution to an Equation

An equation in one variable is a statement made up of two expressions that are equal, and in the statement, at least one of the expressions contains the variable. The expres- sions are called the sides of the equation. Examples of equations in one variable are

2y + 5 = 0 4x + 5 = -2x + 10 3 = 9 z+2

In this section, we will concentrate on solving linear equations in one variable.

Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 76 people in the 18-21 age bracket and finds that 65 of them respond and 11 refuse to respond. When 281 people in the 22-29 age bracket are contacted, 263 respond and 18 refuse to respond. Assume that 1 of the 357 people is randomly selected. Find the probability of getting someone in the 22-29 age bracket or someone who agreed to respond.

Answers

Answer:

0.9692 = 96.92% probability of getting someone in the 22-29 age bracket or someone who agreed to respond.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Find the probability of getting someone in the 22-29 age bracket or someone who agreed to respond.

357 people.

281 in the 22-29 age bracket + 65 in the 18-21 that agree to respond. So

[tex]p = \frac{281+65}{357} = 0.9692[/tex]

0.9692 = 96.92% probability of getting someone in the 22-29 age bracket or someone who agreed to respond.

Mark multiplied a number by itself. He found a
product of 30. What is the number, rounded to the
nearest tenth?
A. 4.5
B. 5.4
C.5.5
D. 15.0

Answers

Answer:

5.5×5.5=30.5

we rounded 30.25 in nearest tenth it becomes 30

Answer:

C.] 5.5

Step-by-step explanation:

It is mentioned that the number was multiplied by the number itself.

Let's take 'x' as the number. It was multiplied by itself and the product is 30. So the equation will be:

x × x = 30

[tex]x^{2}[/tex] = 30

x = [tex]\sqrt{30}[/tex]

x = 5.47 = 5.5 (to the nearest tenth)

The ordered pair (2, 25) is a solution for which equation(s)? Check all that
apply.
A. y= (x + 2)2
B. y = (2x + 1)2
o c. y = 2x2 + 5
D. y = (x + 3)2

Answers

Answer A is correct. C is correct.

Step-by-step explanation:

Which functions are nonlinear? Select TWO that apply.
A
y = -5
B
y
+1
х
0
1
2
y
-2
114
-6
-8
3
х
1
y
1
2
3
4.

Answers

Answer:

A,B

Step-by-step explanation:

I think bc I had the same question well something like this in A in B was it

Please help I don't understand this question

Answers

Answer: What is The Question

Step-by-step explanation:

You Forgot To add The Picture

Okay I know this is a crazy thing to ask on brainly but would anyone be interested in finishing my Math 4 class for $100 dollars?? my word is good I promise! I just need to pass!!! PLS HELP

Answers

Answer:

ok but I know this is a lie I'm just willing to help

the first two terms of an arithmetic sequences are 7 and 3.
1.1.1 determine the eighteen term.

1.1.2 which term of the sequences Will be equal to -157?


Answers

Answer:

1.1.1) -61

1.1.2) Term 42

Step-by-step explanation:

Tn= dn (difference) + t0 (term 0)

Tn= -4n+ 11

You can now take this general rule to find out the other terms.

Tn= -4(18)+11

Tn= -61

And the term -157

Tn= -4n+11

-157= -4n + 11

-157 - 11= - 4n

-168= -4n

-168/-4= n

42= n

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