Xavier (x) has $20 more than Sara (s). Their combined money totals $90. Which system of equations represents this situation?
a)
x + s = 90 s + x = 20
b)
x + s = 90 x - s = 20
c)
x - s = 90 s + s = 20
d)
s - x = 90 x - s = 20

Answer:

x = -3

y = 9

Step-by-step explanation:

you can add the equations after multiplying the first one by 8

8x - 8y = -96  added to -8x - 4y = -96

'x' eliminated;  -12y = -108;  y = 9

Solve for 'x':

x - 9 = -12

x = -12 + 9

x = -3

Answer:

b. 25

Step-by-step explanation:

you have to do parenthesis first. so 10-3 =7. 7 x 8 = 56

2×25=50 + 6 would equal 56

so, e = 25

Answer:

B

Step-by-step explanation:

I just looked up how much is 90 dollars is worth in England and it said "67.59 Pound sterling". So 64 is the closest

Given:

Cory made 21 of the 60 baskets she attempted.

Krista made 16 out of 40 baskets she attempted.

Paul made 17 of the 50 baskets she attempted.

Sally 11 of the 55 she attempted.

To find:

Who had the greatest percentages of baskets made?

Solution:

We know that,

[tex]\text{Percentage of baskets made}=\dfrac{\text{Baskets made}}{\text{Total attempts}}\times 100[/tex]

Using this formula, we get

[tex]\text{Cory's percentage of baskets made}=\dfrac{21}{60}\times 100=35\%[/tex]

[tex]\text{Krista's percentage of baskets made}=\dfrac{16}{40}\times 100=40\%[/tex]

[tex]\text{Paul's percentage of baskets made}=\dfrac{17}{50}\times 100=34\%[/tex]

[tex]\text{Sally's percentage of baskets made}=\dfrac{11}{55}\times 100=20\%[/tex]

From the above percentages 40% is maximum.

Therefore, Krista has greatest percentage of baskets made.

Given:

A video game customers to rent games for $4.75 each.

Customers can also buy a membership for $54 annually, and video games would only cost $2.50 each.

To find:

The number of video games a customer would have to rent in a year in order for the two options to be equal.

Solution:

Let x be the number of video games.

A video game customers to rent games for $4.75 each. So, the total cost is

[tex]C_1(x)=4.75x[/tex]

Customers can also buy a membership for $54 annually, and video games would only cost $2.50 each. So, the total cost is

[tex]C_2(x)=54+2.50x[/tex]

Now, [tex]C_1(x)=C_2(x)[/tex], if the rent in a year for the two options to be equal.

[tex]4.75x=54+2.50x[/tex]

[tex]4.75x-2.50x=54[/tex]

[tex]2.25x=54[/tex]

Divide both sides by 2.25.

[tex]x=\dfrac{54}{2.25}[/tex]

[tex]x=24[/tex]

Therefore, the rent in two options are equal for 24 video games.

Answer:

12

Step-by-step explanation:

12+12=12 and 12 = 12 and 9+10= 21

Answer:

Toby will reach more people in 40 phone calls

Answer:

8.80

Step-by-step explanation:

u can use a calculator

Answer:

b

Step-by-step explanation:

subtract 6 then multiply both sides by 2.5 which cancels out on the left side and turns the right side to -75.

Hope this helps and Merry Christmas! :)

Answer:

B :)

Step-by-step explanation:

Answer:

62.5 mph

Step-by-step explanation:

Given that :

Peter :

Speed = 50mph

Start Time = 9 a. M

Emily :

Start time = 9:30

Speed = x

In other to catch up at 11:30 :

Peter (11:30 - 9:00) = 2hours 30 minutes = 2.5 hrs

Total distance moved by Peter :

Speed * time = 50 * 2.5 = 125miles

For Emily to cover 125 miles in (11:30 - 9:30) = 2 hours

Speed = distance / time

Speed = 125 miles / 2 hours

Speed = 62.5 miles per hour

Answer:

9

Step-by-step explanation:

9x2 is 18, so he can rent a bike for nine days if the rent is $2

Answer:

Step-by-step explanation:

u know the sinus theorem for the area of a triangle

u can search it sinus theorem triangle

for the solution:

12.4/sin(74)=y/sin(39)

y=7.85 cm

Answer:

Length y is 8.12cm

Step-by-step explanation:

Use the law of sines.

[tex]\frac{sin(a)}{A} =\frac{sin(b)}{B}[/tex] ⇒[tex]\frac{sin(39)}{y} =\frac{sin(74)}{12.4}[/tex]

[tex]y(\frac{sin(39)}{y}) =y(\frac{sin(74)}{12.4})[/tex]

[tex]sin(39)=y(\frac{sin(74)}{12.4})[/tex]

[tex]y=\frac{sin(39)}{sin(74)/12.4}[/tex]

[tex]y=\frac{12.4*sin(39)}{sin(74)}[/tex]

y=8.118052433 if you don't round.

Answer:

The average rate of change of the function for the interval [-4, 0] is  [tex]\frac{3}{4}[/tex] ⇒ A

Step-by-step explanation:

The average rate of change of the function is the slope of the line that represents the function, m = Δy/Δx, where

From the given figure

→ The values of x in the interval [-4, 0] are -4 and 0

∵ The point (-4, 0) and (0, 3) lie on the line

∴ x1 = -4 and x2 = 0

∴ x2 = 0 and y2 = 3

∵ Δx = 0 - (-4) = 0 + 4 = 4

∵ Δy = 3 - 0 = 3

→ By using the rule of the slope above

∴ m = [tex]\frac{3}{4}[/tex]

∵ The average rate of change of the function = the slope of the line

∴ The average rate of change of the function for the interval [-4, 0] is  [tex]\frac{3}{4}[/tex]

Answer:

7.5x-5 is equation for graph :)

BRAINLIEST PLEASE

Step-by-step explanation:

Answer:

25 glasses

Step-by-step explanation:

Answer:

The square root of 65

Step-by-step explanation:

Using the formula A squared B squared = C Squared

Thus, c equals the square root of 65

Answer:

Step-by-step explanation:

volume=9/5 ×2/3=6/5 units³

Answer:

Hope this helps!!

Step-by-step explanation:

Answer:

1. 43/325

2. 30/203

3. 117/272

4.371/488

Step-by-step explanation:

1. p(a 3rd class survivor)

172 2nd class out of total

2. p(1st class | died)

given that they died there are 120 people in first class out of all the people who died

3. p(survived | 2nd class)

how many people survived given they were second class is 117 out of 272 peple in 2nd class

4. p(1st or 3rd class | survived​

given that they survived (488) there are 371 people in first and third class so 371/488

Answer:

no

Step-by-step explanation:

Answer: 105

Step-by-step explanation: 105 because all angles add up to 180

Answer:

B. 68.5 & 76.5

Step-by-step explanation:

In order to solve this equation you first need to change your equasion to fit 2 scenarios. So, your 2 equations are x-72.5=4 and x-72.5=-4. From there, you need to solve by adding 72.5 to each equation giving you x=76.5 and x=68.5. 68.5 degrees F is your minimum temperature and 76.5 degrees F is your maximum temperature. I have included a screenshot of my handwritten work included below for those who are visual learners.

Answer: 315 cookies

Step-by-step explanation: 73+242 = 315

Answer: 315

Step-by-step explanation: 73+242=315

Answer:

Baxter runs 3/2 lengths of the backyard per minute.

Step-by-step explanation:

The question is asking how many times Baxter runs the length of the backyard per minute. We know that he runs 3/4 of the backyard every 1/2 of a minute. This means that he runs 6/4 (simplified to 3/2) per minute.

Answer:

2

3

RESULT

In the slope-intercept form you use the slope of the line and the y-intercept to express ... The m-value, the slope, tells us that for each step to the right on the x- axis we move 2 ... the origin has a y-intersect of zero, b = 0, and represents a direct variation. ... form · Parallel and perpendicular lines · Scatter plots and linear models.

The required equation that models the data in the table is y = -12x + 80, where the y-intercept represents the initial volume of the paint, the slope is the rate of paint consumed per day.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

here,
The standard equation of the line is given as,

y -y₁ =(y₂ - y₁) /  (x₂ - x₁) (x - x₁)

Substitute the values in the above equation,
y - 56 = [(44 - 56)/3 - 2)](x - 2)
y = -12[x - 2] + 56
y = -12x + 24 + 56
y = -12x + 80

Thus, the required equation that models the data in the table is y = -12x + 80, where the y-intercept represents the initial volume of the paint, and the slope is the rate of paint consumed per day.

Learn more about slopes here:
https://brainly.com/question/3605446

#SPJ3

Answer: z = -2

Step-by-step explanation:

6z + 10 = -2

add 10 on both sides

6z = -2 -10

6z = - 12

divide 6 on both sides

z = -2

Answer:

z= -2

Step-by-step explanation:

6z+10=-2

-10. -10

6z = -12

÷6. ÷6

z= -2

Answer:

B) 0.4 (6 - 2w)

Step-by-step explanation:

You can only add or subtract with the numbers that have the same variable:

You can only add -2.2w and 1.4w

Which is -0.8w

Then add 4.8 and -2.4

Which is 2.4

Now the equation is -0.8w+2.4 or 2.4-0.8w

0.4 times 6 is 2.4

0.4 times 2w is -0.8w

Which is the same

-0.8w+2.4 or 2.4-0.8w

Hope this helps!

Answer:

Arnold has greater debt because he owes an extra dollar to the bank

Step-by-step explanation:

Answer:

x=-4 and x=3

Step-by-step explanation:

If y=0, then we use the Zero Product Property:

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

x+4=0

x=-4

x-3=0

x=3