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4 years ago

The x-intercept of 2x + 3y = 12 is (0, 4). True or false

Mathematics

1 answer:

notsponge [240]4 years ago

5 0

True but idk fr just use google

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ycow [4]

Answer:

hat: $12

t-shirt: $8

Step-by-step explanation:

Let the price of 1 hat = h.

Let the price of 1 t-shirt = t.

Julie: h + 2t = 28

Raj: 2h + t = 32

We have a system of 2 equations in 2 variables.

h + 2t = 28

2h + t = 32

Let's use the substitution method to solve the system of equations.

Solve the first equation for h.

h = 28 - 2t

Substitute 28 - 2t for h in the second equation.

2(28 - 2t) + t = 32

56 - 4t + t = 32

56 - 3t = 32

-3t = -24

t = 8

h = 28 - 2t

h = 28 - 2(6)

h = 12

Answer:

hat: $12

t-shirt: $8

5 0

3 years ago

A car brought for 13000 deprecitates at 15 percent per year find value of car after 5 years

Nesterboy [21]

the value of the car will be 3250 after 5 years

Step-by-step explanation:

the value of the car = 13000

rate of interest = 15%

time = 5 years

in 5 years the car will depreciates = 13000 X 15% X 5

= $\frac{13000 X 15 X 5}{100}$

= 9750

after 5 years the value of the car is = 13000 - 9750 = 3250

4 0

4 years ago

There are more cups in 5 gallons than in 22 quarts

ololo11 [35]

Answer:

The answer is false

Step-by-step explanation:

22 quarts is 5.5 gallons

5 0

3 years ago

Read 2 more answers

Which of the following is the equation for the graph shown?a. x^2/144+y^2/95=1b. x^2/144-y^2/95=1c. x^2/95+y^2/144=1d. x^2/95-y^

Andrews [41]

e follSOLUTION

Given the question in the image, the following are the solution steps to answer the question

STEP 1: Write the general equation of an ellipse

$\frac{\mleft(x-h\mright)^2}{a^2}+\frac{(y-h)^2}{b^2^{}}=1$

STEP 2: Identify the parameters

the length of the major axis is 2a

the length of the minor axis is 2b

$\begin{gathered} 2a=24,a=\frac{24}{2}=12 \\ 2b=20,b=\frac{20}{2}=10 \end{gathered}$

STEP 3: Get the equation of the ellipse

$\begin{gathered} By\text{ substitution,} \\ \frac{(x-h)^2}{a^2}+\frac{(y-h)^2}{b^2}=1 \\ \frac{(x-0)^2}{12^2}+\frac{(y-0)^2}{10^2}=1=\frac{x^2}{144}+\frac{y^2}{100}=1 \end{gathered}$

STEP 4: Pick the nearest equation from the options,

Hence, the equation of the ellipse in the image is given as:

$\frac{x^2}{144}+\frac{y^2}{95}=1$

OPTION A

8 0

1 year ago

Suppose that a police officer measured the speed of cars on a highway for an hour. The average speed of the cars was 72 and the

anygoal [31]

I got 4.14 because i multiplied the deviation which is 4.6 by 0.9 and got that answer

8 0

3 years ago