Match the information on the left with the appropriate equation on the right.

Answer: 192

Step-by-step explanation:

(22.14-19.58)x75

Answer:

The third graph is your answer.

Step-by-step explanation:

I included a graph below with the correct graphing.

Answer:

Given below

Step-by-step explanation:

Jose's method

Distance on bus: 2.85 x 1000= 2850m

Total distance= 320m + 2850m

= 3170 m

Pam's method

Distance to bus stop = 320 ÷ 100 = 0.32 km

Total distance= 0.32 km + 2.85 km

= 3.17 km

Answer with step by step explanation

Joe's method

[tex]distance \: \: \: on \: \: bus \\ = 2.85 \times 1000 = 2850m \\ total \: \: distance \\ = 320m + 2850m \\ = 3170m[/tex]

Pam's method

[tex]320 \div 1000 = 0.32km \\ total \: \: \: distance \\ = 0.32km + 2.85km \\ = 3.17km[/tex]

Answer: 94, 86

Step-by-step explanation:

x + x/2 + 39 = 180

x + x/2 = 180 - 39

x = 94

Other angle is 180 - 94 = 86

Answer:

x=3

y=1

(3,1)

Step-by-step explanation:

Answer: c. (3, 1)

Step-by-step explanation:

(3x - y = 8) + (3x + 3y = 12) = 6x + 2y = 20

Divide by 2

3x + y = 10

Plug in 3 for x

3(3) + y = 10

9 + y = 10

10 - 9 = 1

y = 1

Answer:

Point C.

Step-by-step explanation:

When the x-value is negative, the point is moving left. In this case, the point is moving left 1.

When the y-value is positive, the point is moving up. In this case, the point is moving up 3.

Only Point C fits the description.

Answer:

point c

Step-by-step explanation:

hope i helped c:

Answer:

Surface area of sphere = 4πr²

r = radius

radius = diameter /2

= 12/2

= 6units

Surface area = 4π×6²

= 144π

= 452.4 square units

Hope this helps.

Answer:

x-14

Step-by-step explanation:

The binomial which is a factor of this trinomial is (x- 14).

An algebraic expression with three terms is called a trinomial.

Examples of a trinomial expression: x + y + z is a trinomial in three variables x, y and z.

Given:

p(x) = x²-16x + 28

If x+ a is factor of any polynomial p(x) then x= -a satisfy the polynomial.

factorizing p(x)

x²-16x + 28

= x²-14x + 2x + 28

= x( x- 14) + 2 (x+ 14)

= (x- 14)(x+ 2)

Hence, the binomial is (x- 14).

Learn more about Trinomial here:

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Answer:

63 cm

Step-by-step explanation:

piece 1: x

piece 2: x - 18

First you would subtract 2x - 18 = 108

Second you would add 108 + 18 = 2x

Third you would divide 126 divided by 2x = 63

So that would mean x = 63

Answer:

63cm

Step-by-step explanation:

2 pieces of rope, and one is shorter by 18cm.

piece 1: x

piece 2: x-18

Add the equations together, combine both pieces

2x-18

2x-18 = 108

108+18 = 2x

126 = 2x

x = 63

Answer: π / 4

Step-by-step explanation:

Area of a circle = π x r^2

= π x 0.5^2

= π / 4

Answer:

A = 0.25 π m²

Step-by-step explanation:

Area = [tex]\pi r^2[/tex]

Where r = 0.5 m

A = (0.5)^2 × π

A = 0.25 π m²

Answer:

y= 34x- 2 +5 (C)

Step-by-step explanation:

The equation: y = 27x-54 +5

We are to determine an equivalent equation of the form y=avx -h+k from the options given.

From the above, av = two digit coefficient of x. Hence av is constant.

h and k are also constant.

Let's check out the option to find the equation that is in the form y=avx-h+k

a) y=-273x + 2+5

In this equation, the coefficient of x is a 3-digit number. The option is wrong.

b) y=-3x+2 +5

In this equation, the coefficient of x is a 1-digit number. The option is wrong.

c) y=34x -2 +5

In this equation, the coefficient of x is a 2-digit number.

av = 34, h= 2 and k = 5

This equation is in the form of y=avx -h+k

The option is correct.

d) y=273/x-2 +5

This equation is not in the form of y=avx -h+k

The option is wrong.

Answer:

c is correct for the first one

horizontal: 2 units right

vertical: 5 units up

stretch/compression: stretched by a factor of 3

reflection: not reflected

Step-by-step explanation:

leave a heart pls :)

Answer:

35-17

Step-by-step explanation:

Answer: A + 17 = 35

Step-by-step explanation:

Because both sections are equal to the same amount as 35.  

The rectangle for "a" plus the rectangle for 17 put together equal the same rectangle size as 35.

Answer : value of x and y in the matrix equation is:

x = -3

y = +4, -4

Step-by-step explanation :

The matrix expression is:

[tex]\left[\begin{array}{ccc}x+4\\y^2+1\end{array}\right]+\left[\begin{array}{ccc}-9x\\-17\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right][/tex]

First we have to add left hand side matrix.

[tex]\left[\begin{array}{ccc}(x+4)+(-9x)\\(y^2+1)+(-17)\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right][/tex]

Now we have to add left hand side terms.

[tex]\left[\begin{array}{ccc}x+4-9x\\y^2+1-17\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}4-8x\\y^2-16\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right][/tex]

Now we have to equating left hand side matrix to right hand matrix, we get:

[tex]\Rightarrow 4-8x=28\text{ and }y^2-16=0\\\\\Rightarrow 8x=4-28\text{ and }y^2=16\\\\\Rightarrow x=-3\text{ and }y=\pm 4[/tex]

Therefore, the value of x and y in the matrix equation is -3 and +4, -4 respectively.

Answer:

D is wrong. The correct answer choice is C ( x=-3 and y= +4, -4)

Step-by-step explanation:

Math unit test review

Answer:

Step-by-step explanation:

The perimeter of this figure is the sum of the side lengths shown:

6 + 8x + 18 + 13x

Combining like terms, we get 21x + 24.  This is one way in which to calculate the perimeter of the figure.  Another way would be (x)(8 + 13) + 6(1 + 3).  

Answer:

x=7y+2

Step-by-step explanation:

switch the letters

Answer: y=(x-2)/7

Step-by-step explanation:

To find the inverse of the equation, you want to replace all the x with y and all the y with x. Our equation would be:

x=7y+2

Now that we have our equation, we can solve for y.

x-2=7y

y=(x-2)/7

Answer:

option 2 is better( 3 pizza with 30 inches diameter)

Step-by-step explanation:

Area of the large pizza = A=πr^2=962.11 * 2( for two pizzas)=1924.22

Area for small pizza : A=πr^2=706.86*3 pizza=2120.58

your buying more pizza for less price

(there are more than one way to figure the answer)

Answer:

Greta is correct. The answer is y = 4x

Step-by-step explanation:

This is because one person is able to plant four trees and five people are able to plant 20 in the same amount of time which means 4 trees is to 1 person. In other words if you substitute the values into the equation you will see that x = 1 in the first scenario and x = 5 in second scenario.I will work out the second scenario below.

y = 4x (where y = 20)

20  = 4(x)

[tex]\frac{20}{4} = \frac{4x}{4}[/tex]

5 = x

OR

y = 4x (where x = 5)

y = 4 * 5

y = 20

The equation which represents the number of trees planted y for the x number of people will be y = 4x thus Greta will be right.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

An equation is a set of variables that are constrained through a situation or case.

As per the given,

1 person plants 4 trees.

x = 1 and y = 4

y/x = 4

5 people plant 20 trees

x = 5 and y = 20

y/x = 20/5 = 4

y = 4x

Thus, y = 4x will be correct.

Hence "The equation which represents the number of trees planted y for the x number of people will be y = 4x thus Greta will be right".

For more about the equation,

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Answer:

its 1

Step-by-step explanation:

Answer:

x=36

Step-by-step explanation:

All angles in a circle add up to 360°.

Answer:

64 gallon = 4 miles

1 gallon = 4/64

= 0.0625 miles

Answer:

The answer is add 7x.

Step-by-step explanation:

When the first step is to add 10 to both sides :

[tex] - 8 - 7x = - 5x - 10[/tex]

[tex] - 8 - 7x + 10 = - 5x - 10 + 10[/tex]

[tex] - 7x + 2 = - 5x[/tex]

Next, you have to add 7x to both sides to eliminate -7x on the left side :

[tex] - 7x + 2 = - 5x[/tex]

[tex] - 7x + 2 + 7x = - 5x + 7x[/tex]

[tex]2 = 2x[/tex]

Answer:

add 7x

Step-by-step explanation:

This would be the answer because if you have already added 10 to the right side of the equation and have erased the constant, you would then need to erase the variable on the other side to make it equal. The variable on the other side is 7x, which gives you the answer.

Answer:

1 1/2 miles

Step-by-step explanation:

(aka option A on edge)

Answer:

36.99 litros de combustible.

Step-by-step explanation:

En este problema debemos calcular el combustible total de consumió el camión, para eso debemos sumar el valor que consumió el día 1 más el valor que consumió el día 2, de la siguiente manera:

Consumo total = Consumo día 1 + Consumo día 2

Consumo total = 21.77 + 15.22

Consumo total = 36.99

Es decir que el consumo total del camión es de 36.99 litros de combustible.

Answer:

The p-value = 0.181186

The p-value is greater than the significance level at which the test was performed, hence, we fail to reject the null hypothesis & say that there isn't enough evidence to suggest that the success rate of repair of longer tears is greater than the success rate of repair of shorter tears.

Step-by-step explanation:

This is a two-sample hypothesis test as we want to test the whether the success rate for one group of tears is more than the other

For hypothesis testing, the first thing to define is the null and alternative hypothesis.

In hypothesis testing, especially one comparing two sets of data, the null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test. It usually maintains that, with random chance responsible for the outcome or results of any experimental study/hypothesis testing, its statement is true.

The alternative hypothesis usually confirms the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test. It usually maintains that significant factors other than random chance, affect the outcome or results of the experimental study/hypothesis testing and result in its own statement.

For this question where we are testing if the success rate of longer tears is greater than the success rate of shorter tears,

The null hypothesis is that there is no significant difference in the success rate for the two types of tears. That is, there isn't enough evidence to suggest that the success rate of longer tears is greater than the success rate of shorter tears.

The alternative hypothesis is that there is enough evidence to suggest that the success rate of longer tears is greater than the success rate of shorter tears.

Mathematically, if the success rate of longer tears is p₁, success rate of repair of shorter tears is p₂. And the difference between the two success rates is μ = p₁ - p₂,

The null hypothesis is represented as

H₀: μ = 0 or p₁ = p₂

The alternative hypothesis is represented as

Hₐ: μ > 0 or p₁ > p₂

We then calculate the test statistic

The test statistic for two samples test is given as

t = (p₁ - p₂)/σ

σ = √{[p₁(1-p₁)/n₁] + [p₂(1-p₂)/n₂]}

p₁ = success rate of repair of longer tears = (14/17) = 0.8235

n₁ = 17

p₂ = success rate of repair of shorter tears = (22/31) = 0.7097

n₂ = 31

σ =

√{[0.8235(1-0.8235)/17] + [0.7097(1-0.7097)/31]}

σ = √[(0.8235×0.1765/17) + (0.7097×0.2903/31)]

= √(0.0085498676 + 0.0066459971)

= √0.0151958647 = 0.1232715081 = 0.1233

t = (p₁ - p₂)/σ

t = (0.8235 - 0.7097)/0.1233

t = 0.92

checking the tables for the p-value of this t-statistic

Degree of freedom = df = n₁ + n₂ - 2 = 17 + 31 - 2 = 46

Significance level = 0.05

The hypothesis test uses a one-tailed condition because we're testing only in one direction.

p-value (for t = 0.92, at 0.05 significance level, df = 46, with a one tailed condition) = 0.181186

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.05

p-value = 0.181186

0.181186 > 0.05

Hence,

p-value > significance level

This means that we fail to reject the null hypothesis & say that there isn't enough evidence to suggest that the success rate of repair of longer tears is greater than the success rate of repair of shorter tears.

Hope this Helps!!!

Answer:

See below

Step-by-step explanation:

See attached for reference

The path has been created by bikers is almost a right triangle with sides of 12, 21 and 24 miles and angles of 61, 89 and 30 deg

a) Biker A travels a straight line (hypotenuse of triangle)

It is likely the bikers meet at the bottom point of the triangle

They make almost same displacement from the start point:

24 miles ≈ √12²+21² miles

b) they meet each other

c) 30 deg

d) e) as per picture attached, it is almost right triangle

f) Together they traveled 12+21+24= 57 miles

Answer:

0.09

Step-by-step explanation:

Total = 35+5+10+5 = 55

P(string&brass) = 5/55

= 1/11 = 0.09090909

Answer: b) increasing for x < -4/3 and x > 4/3

                    decreasing for -4/3 < x < 4/3

Step-by-step explanation:

Graph the equation and the follow the curve from left to right.  When you are going up, it is increasing.  When you are going down, it is decreasing.

see the image below.  Red is increasing. Blue is decreasing.

The vertices occur when x = -4/3 and x = 4/3

Answer:

a) 5x and - 4x

Step-by-step explanation:

Explanation:-

Given  equation is 4 x² + x -5

the factors of     -20  =  - 4 × 5

                           ⇒  4 x² + 5x - 4x -5

                           ⇒ x ( 4 x +5) -1 ( 4x +5)

                           ⇒ (x -1) (4 x +5)

Answer:

A :)

Step-by-step explanation:

Answer:

Gas used = 23/3-123/27

[tex] \frac{23 \times 9 - 123}{7} [/tex]

[tex] \frac{207 - 123}{27} [/tex]

Answer:

b and d on edge

Step-by-step explanation:

bc it is

Answer:

false

true

false

true

Step-by-step explanation:

hope it helps :)

I think its B. 7

Its less than 15 and all the others.

Answer:

it b7

Step-by-step explanation: