how many solutions does the following system of equations have: 3x−2y=−7 4y=9−6x

Answer:

Adult tickets = $73.5

Child tickets = $20.5

Step-by-step explanation:

[tex]{ \rm{3x + 5y = 50 - - - \{eqn \: 1 \}}} \\ { \rm{x + 5y = 31 - - - \{eqn \: 2 \}}} \\ [/tex]

• Subtract eqn 2 from eqn 1:

[tex]{ \rm{2x = 21}} \\ { \rm{x = 10.5}}[/tex]

[tex]{ \rm{10.5 + 5y = 31}} \\ { \rm{5y = 20.5}} \\ { \rm{y = 4.1}}[/tex]

Given two points, the equation of the line may be determined by,

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

Substituting the given values,

y - 7 = ((9 - 7) / (6 - 3))(x - 3)

Simplification will yield to an answer of,

y = 2x/3 +5

Therefore, the answer is the second choice.

Answer:

SEE attched pic

Step-by-step explanation:

Download symbolab

Answer:

-5/12/ D

Step-by-step explanation:

-9/12 -(-1/3)

turn 1/3 into a fraction with a similar denominator

-9/12-(-4/12)

-(- = addition (+)

-9+4= -5

-5/12

Answer:

D) The answer is AB and HG

Step-by-step explanation:

sides that are equal:

AD=EH

DC=EF

BC=FG

AB=HG

Answer:

h(x) = 7x - 3

Step-by-step explanation:

f(x) = 4x − 1 and g(x) = −3x + 2

h(x) = f(x) - g(x)

h(x) = 4x - 1 - (-3x + 2)

h(x) = 4x - 1 + 3x - 2

h(x) = 7x - 3

Answer:

b

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

if you're asking what (-12)-(-50) is the answer is 38 simple method to remember is KCF or KFC same thing just worded differently but it means keep change flip! hope that helped have a great day!!

Answer:

2/9

Step-by-step explanation:

2(2/3)^2-4(2/3)+2

2(4/9)-8/3+2

8/9-8/3+2

-16/9+2

2/9

the first graph looks right

Answer:

The distance travelled by Rubina is 600 m.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

There is one solution to this system of equations

Step-by-step explanation:

When solving, there is a specific point of intersection which is (7/6,-7/6), making the answer one solution.

Answer:

101,100

280

Here's your answer

dam bro

thats pretty smooth

Answer:

39.2m

Step-by-step explanation:

The ratio would be 14/20 which is 0.7. So, you would take 56 and multipy it by 0.7 to get 39.2.

Answer:

39.2

Step-by-step explanation:

ok so you are given 2 triangles that are proportional

the 20 m side and the 56 m side go together

so this leaves 14 and L

so the ration is 2.8

multiply 14 by 2.8 and you get 39.2

Answer:

36 times

Step-by-step explanation:

Because half the marbles are blue, you can predict that about half of the 72 times you will choose the blue marble, or 36 times.

Answer:

5-8

Step-by-step explanation:

6.5-1.5 = 5

6.5+1.5= 8

Answer:

Question 1  Between 3 - 4 hrs

Question 2 Between 1 - 3 hrs

Question 3 Between 4 - 8 hrs

Question 4 Between 2 - 3 hrs

Question 5 Represents the starting position

Step-by-step explanation:

don't know when you find out tell me

Answer:

yawa ka ah diyan module tae yan hahaha

don't know sorry mate

Answer:

Point  H is in the first Quadrant (5,4)

Step-by-step explanation:

Answer:

quadrant 1

Step-by-step explanation:

yw:)

Answer:

You got this just keep trying

Step-by-step explanation:

Answer:

It might be 80

Step-by-step explanation:

first you put 64% and $80 as a fraction. 64%/$80. Then next to the fraction, you put x/100. Then you cross multiply. 64 times 100 is 6400. 6400 divided by 80 is 80. Therefore, the answer is 80. Hope this helps!

Using the t-distribution, it is found that:

a)

The null hypothesis is [tex]H_0: \mu = 3.1[/tex]

The alternative hypothesis is [tex]H_1: \mu \neq 3.1[/tex]

b)

c) t = 1.853

d) Since |t| = 1.853 < 2.2, we do not reject the null hypothesis, that is, the sample data does not suggest that there is a difference between the national average and the sample mean of the senior citizens.

Item a:

At the null hypothesis, it is tested if the estimate of 3.1 cups per day is correct, that is:

[tex]H_0: \mu = 3.1[/tex]

At the alternative hypothesis, it is tested if the estimate is not correct, that is:

[tex]H_1: \mu \neq 3.1[/tex]

Item b:

This is a two-tailed test, as we are testing if the mean is different of a value, with 12 - 1 = 11 df and a significance level of 0.05,  hence, the critical value is [tex]t^{\ast} = 2.2[/tex].

Then, the decision rule is:

Item c:

We can find the standard deviation for the sample, hence, the t-distribution is used.

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

The values of the parameters, with the help of a calculator for the sample mean and standard deviation, are given by: [tex]\overline{x} = 3.425, \mu = 3.1, s = 0.6077, n = 12[/tex]

Hence, the value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{3.425 - 3.1}{\frac{0.6077}{\sqrt{12}}}[/tex]

[tex]t = 1.853[/tex]

Item d:

Since |t| = 1.853 < 2.2, we do not reject the null hypothesis, that is, the sample data does not suggest that there is a difference between the national average and the sample mean of the senior citizens.

A similar problem is given at https://brainly.com/question/24826023

This question is based on the concept of ratio. Therefore, he needs to have 18 liters of blue paint and  27 liters of yellow paint to make 45 liters of green paint.

Given:

Mark was mixing blue and yellow paint ratio of 2:3.

He wants to make 45 liters of green paint.

According to the question,

Blue : Yellow =  Green

2 : 3 : 2+3 (Given)

2 : 3 : 5

Therefore, he wants to make 45 liters of green paint.

So, 5 parts = 45 liters

Now, calculating for each part.

We get,

Each part = 45÷ 5 = 9 liters

Now for 2 parts = 9 x 2 = 18 liters

And, for 3 parts = 9 x 3 = 27 liters

Answer:

r = -28/9

Step-by-step explanation:

use slope formula of (y₂-y₁) / (x₂-x₁)

5/9 = [r - (-2)] / [-7 - (-5)]

5/9 = (r+2) /-2

cross-multiply to get:

-2(5) = 9(r+2)

-10 = 9r + 18

-28 = 9r

r = -28/9

Answer:

y = [tex]\frac{3}{3}[/tex]x - 5

y = 2x + 5

Step-by-step explanation:

In linear equations, both variables x and y must have the exponent of 1 (i.e. they cannot have a small number at the top-right). And they cannot be in the exponents (i.e. cannot be the small number at the top-right).

Answer:

0.55

Step-by-step explanation:

45/100 = 0.45

1/2 = 0.50

Answer:

0.55 is the biggest

Step-by-step explanation:

45% can be converted to 0.45

1/2 is the same as 50%, so in decimal form, it is 0.50 (although no matter how many 0s you put at the end, it will still be the same, so this could effectively be 0.5.)

0.55 is already done for you, so there is nothing to do here.

Therefore, the biggest is 0.55