Sun-Li has $30 to spend at the carnival. Admission is $5, and each
ride costs $2. What is the greatest number of rides she can ride?
Write and solve an inequality.

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a )

[tex] {x}^{2} = 16[/tex]

[tex]x = ± \: 4[/tex]

Two solutions.

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b )

[tex]4 {x}^{2} = 0[/tex]

[tex]x = 0[/tex]

One solution .

_________________________________

c )

[tex] {x}^{2} = - 16[/tex]

[tex]No \: \: solution.[/tex]

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d )

[tex]3x + 2 = 14[/tex]

[tex]x = 4[/tex]

One solution.

_________________________________

e )

[tex] {x}^{2} - 1 = 24[/tex]

[tex] {x}^{2} = 25[/tex]

[tex]x =± \: 5[/tex]

Two solutions.

_________________________________

f )

[tex](x + 8)(x - 8) = 0[/tex]

[tex]x = - 8 \: \: or \: \: x = 8[/tex]

Two solutions .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Except from the option(c), all equations have 2 solutions.

"An equation is a formula that expresses the equality of two expressions, by connecting them with the equal sign"

Given equations are:

a. x² = 16

This is a quadratic equation. This equation has two solutions.

b. 4x² = 0

This is a quadratic equation. This equation has two solutions.

c. x² = - 16  

This equation doesn't have any solution.

d. 3x + 2 = 14

This is a quadratic equation. This equation has two solutions.

e. x² - 1 = 24

This is a quadratic equation. This equation has two solutions.

f. (x + 8)(x - 8) = 0

This is a quadratic equation. This equation has two solutions.

Learn more about equations here: https://brainly.com/question/14584746

#SPJ2

Answer:

x = 6

y = -1

Step-by-step explanation:

-2x + 5y = -17 ------ equation 1

3x- 10y = 28 ------- equation 2

equation 1× 2

-4x + 10y = -34 ------- equation 3

equation 2 + equation 3

-x = -6

x = 6

x = 6 substitute for equation 1

-12 + 5y = -17

5y = -5

y = -1

Answer:

I think the answers are E = 4 ¼ F = -6 ¼ D = -3 ¼

Answer:

Step-by-step explanation:

27+60= 87

Answer:

1. Vanilla

2.Strawberry

3.Chocolate

4.CS

5.VV

6.SS

Step-by-step explanation:

For these problem you are solving to find ALL of the possible outcomes with the 3 flavours.

1. They already have a combination for Chocolate-chocolate and Chocolate-Strawberry. The only flavour you haven't used yet is vanilla which makes your first answer vanilla.

2. They already have a combination for Vanilla-Chocolate and Vanilla-Vanilla. The only flavour you haven't used yet is Strawberry which makes your answer strawberry.

3. They already have a combination for Strawberry-Vanilla and Strawberry-Strawberry. The only flavour you haven't used yet is chocolate which makes your answer chocolate.

So when looking at the letters they are honestly just initials to the combinations possible. The order of the letters depend on what words come first going down your branch.

4. The two words are chocolate and strawberry. The first letter in both words are C and S so the answer is CS.

5. The two words are vanilla and vanilla. The first letter in both words are V and V so the answer is VV.

6. The two words are strawberry and strawberry. The first letter in both words are S and S so the answer is SS.

1. Simplify 0.24 x 14.3 to 3.432.

= 3.432 ÷ 5.2

2. Simplify 3.432 ÷ 5.2 to 0.66.

= 0.66

Answer:

(0 ; 1)

Step-by-step explanation:

Have a great day

Answer:

The y-intercept of this line is 1.

Step-by-step explanation:

You can tell by looking at the y-axis (vertical line.)

Answer:

2.075 (scale to whatever your teacher wants)

Step-by-step explanation:

ratio of potatoes vs potato cost is 2:4.15

divide everything by two to find the cost of 1 potato

4.15/2=2.075

if you are dealing with money then your answer should either be 2.07 or 2.08  

Answer:

A = 970 inches²

Step-by-step explanation:

If Charly has a 'square' carpet of 10 by 97, then its not square but rectangular, with that in mind;

A = L x W

A = 10 x 97

A = 970 inches²

Hope this helps :)

Answer:

970 inches

Step-by-step explanation:

10x97=970

Length x Width = Area

Answer:

$0.51

Step-by-step explanation:

each golf ball would cost $0.51

Answer:

a

Step-by-step explanation:

Answer:

I think the answer for this question is C

Answer:

the answer is c

Step-by-step explanation:

Answer:

-4x - 20= -4x - 20

Step-by-step explanation:

Multiply -4 and x and -4 and 5. It has infinite solutions

Answer:

2 1/2 divided by 5/2 is 1.

6 3/4 divided by 2 1/4 is 3

3 divided by 2/3 is 9/2.

1/3 divided by 3 is 1/9.

Step-by-step explanation:

hope I helped

Answer:

i don't have an answer but im here so the guy above me can get brainliset

Step-by-step explanation:

Answer:

-4x + y = -20

Step-by-step explanation:

Answer:

420 m

Step-by-step explanation:

The distance travelled in 1 second:

2.8 m * 1.5 revolves

= 2.8 * 1.5

= 4.2 m

Distance travelled in 100 seconds:

4.2 m * 100

= 420 m

Hope this helped!

Answer:

Sharon

Step-by-step explanation:

The given parameters are;

The number of persons that rode on the small train = 5

The number of cars in the train = 5

The position Maren sat = Last car

The position Aaron sat = Directly behind Sharon

The position Darren sat = In one of the cars in front of Aaron

The position of one of the members = Between Karen and Darren

The given seating arrangement is as follows;

Maren → Aaron → Sharon → Darren → Karen

Therefore, the person who sat in the middle car is Sharon.

I would say three hours?

Answer:

5

Step-by-step explanation:

1/8 divided by 5 equals 1/40

Answer:

[tex]\frac{\frac{1}{8}}{5}=\frac{1}{40}[/tex]

Step-by-step explanation:

Let 'x' be the number to which 1/8 had to be divided to get 1/40

so the equation becomes

[tex]\frac{1}{8}\div \:x=\frac{1}{40}[/tex]

[tex]\frac{\frac{1}{8}}{x}=\frac{1}{40}[/tex]

[tex]\frac{1}{8x}=\frac{1}{40}[/tex]

[tex]\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c[/tex]

[tex]1\cdot \:40=8x\cdot \:1[/tex]

[tex]40=8x[/tex]

switch sides

[tex]8x=40[/tex]

Divide both sides by 8

[tex]\frac{8x}{8}=\frac{40}{8}[/tex]

[tex]x=5[/tex]

x=5 is the number.

Therefore,

1/8 divided by 5 = 1/40

i.e.

[tex]\frac{\frac{1}{8}}{5}=\frac{1}{40}[/tex]

SOLUTION CHECK

[tex]\frac{\frac{1}{8}}{5}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{a}{b}}{c}=\frac{a}{b\cdot \:c}[/tex]

[tex]=\frac{1}{8\cdot \:5}[/tex]     ∵ [tex]\frac{\frac{1}{8}}{5}=\frac{1}{8\cdot \:5}[/tex]

[tex]=\frac{1}{40}[/tex]

Step-by-step explanation and answer:

The 6 sides of the die are numbered 1,2,3,4,5,6

There are 3 odd and 3 even numbers

probability of an odd number on 1st roll is:

3/6=1/2

When you want A AND B probabilities, you multiply

the events A and B

The number less than 3 are 1,2, so the probability is:

2/6=1/3

so the probability of both events are going to be:

(1/2) *(1/3)=1/6

Step-by-step explanation:

3+0+4+7+0+4+5+3+6+8/10

40/10

4

Answer:

The mean is 4.

Step-by-step explanation:

When you add 3+0+4+7+0+4+5+3+6+8 you get 40 and because there are 10 numbers you would divide 40 by 10 and get 4.

Mean-the average of all of the numbers in a data set...to find the mean you simply add all of the given numbers together and then divide that sum by the total amount of numbers given, then you will get your mean.

HOPE THIS HELPS!!!!!!!

Answer:

For 1.56 to get to 1560 the decimal point moved three times.

Step-by-step explanation:

To explain this I will give a visual representation.

We have to get from 1.56 to 1,560 and find out how many times it moved forwards.

0). 1.560

1). 15.60

2). 156.0

3). 1,560

as you can see it moved three times.

Answer:

Step-by-step explanation:

((4)²)^x = 1/(4)³

4²^x = 4³

thus the powers are same then

2x =-3

Answer:

x = - [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Using the rules of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^m}[/tex]

Note that 16 = 4² and 64 = 4³ , then

[tex]16^{x}[/tex] = [tex]\frac{1}{64}[/tex] , can be expressed as

[tex](4^2)^{x}[/tex] = [tex]\frac{1}{4^3}[/tex] , that is

[tex]4^{2x}[/tex] = [tex]4^{-3}[/tex]

Since the bases on both sides are equal, then equate the exponents

2x = - 3 ( divide both sides by 2 )

x = - [tex]\frac{3}{2}[/tex]

Answer:

196

Step-by-step explanation:

I calculated it with my calculator

Answer:

$1.90

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

x^3=1/8.

We know 2^3(2*2*2)=8. So 1/2*1/2*1/2=1/8.