The temperature in Lukeville is -13°C the temperature in Metroburg is 12°C what is the difference between the temperatures in the two cities?

2(b + 3) - (7 + b) = -7

2b + 6 - 7 - b = -7

b = -6 + 7 - 7

b = -6

To solve this first distribute the 2, and then distribute the negative sign.

2(b+3)-(7+b)=-7

2b+6-7-b=-7

Combine like terms.

2b+(-b)=b

6+(-7)=-1

b-1=-7

Add 1 on both sides of the equation.

b-1+1=-7+1

b=-6

It would be 6,582 more miles to travel to Jakarta than it would to travel to London.

Hope this helps :)

The option B, [tex]\(9 + 1 = 10\)[/tex] and [tex]\(10 + 6 = 16\)[/tex], correctly shows how to find [tex]\(16 - 9\)[/tex], as it demonstrates that starting with 9 and adding 1 to it and then adding 6 more yield the result of 16. Option b is the correct answer.

The equation to find [tex]\(16 - 9\)[/tex] should involve subtracting 9 from a number and getting a result of 16. Among the provided options:

A. 9+1=10 , 10 +5 =15: This equation does not result in 16.

B.  9+1=10 , 10+6=16 : This equation satisfies the condition [tex]\(16 - 9 = 16\)[/tex], so it's the correct answer.

C. 9+2=11 , 11+6=17 : This equation does not result in 16.

D. 9+1=10 , 10+9=19 : This equation results in 19, not 16.

So, option B, [tex]\(9 + 1 = 10\)[/tex] and [tex]\(10 + 6 = 16\)[/tex], correctly shows how to find [tex]\(16 - 9\)[/tex], as it demonstrates that starting with 9 and adding 1 to it and then adding 6 more yields the result of 16.

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1. 3p: Add 6 to negative 3, and carry over the "p"

3. 6x: Subtract 1 from 7 and carry over the "x"

5. -4v: Add 6 to negative 10 and carry over the "v"

7. -4r + 9: Add 5 to -9 and carry over the "r". Then put "+9" after the variable, since the other 9 was by itself.

9. 14n: Add 5 to 9 and carry over the "n".

I hope this helps!

C is the correct statement

∠CBE and ∠DEB are same side interior angles

What is your question exactly??

A vertical stretch appears as a multiplier for the function value. Translation right appears as a value subtracted from the independent variable. Translation up appears as a value added to the function value.

For function f(x), stretching by a factor of 2, then translation 5 right and -1 up will give the function

... g(x) = 2f(x-5) -1

When f(x) = x², this becomes ...

... g(x) = 2(x -5)² -1

... g(x) = 2x² -20x +49

The equation of the new function in vertex form after the parent function of a quadratic equation is vertically stretched by 2, translated 5 units to the right and 1 unit down is y = 2(x - 5)^2 - 1.

The parent function of a quadratic equation is given by f(x) = x^2. When it is vertically stretched by a factor of 2, it becomes 2f(x) = 2x^2. 5 units translation to the right will give f(x - 5) = 2(x - 5)^2 and a 1 unit downward shift gives f(x) = 2(x - 5)^2 - 1. Therefore, the equation of the new function in vertex form is y = 2(x - 5)^2 - 1.

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Given polynomial is:

[tex]-12x^{5}-6 x^{4}+5 x^{3}-x^{2}-12x+9[/tex]  ..... Lets say it is "a"

We have to subtract a polynomial from this above one, to get the answer as:

[tex]-19x^{5}-8x^{4}+8x^{3}-2x^{2}-18x+19[/tex]   ..... Lets say it is "c"

Lets say we have to subtract "b" so we have : [tex]a-b=c[/tex] or we can say [tex]a-c=b[/tex]

So, we will subtract "c" from "a" and get:

[tex]7x^{5}+2x^{4}-3x^{3}+x^{2}+6x-10[/tex]

Hence, this is the answer.

The  ordered pair is a solution of the equation is option C) Both (10, 1) and (-4, 3)

To know which ordered pair is a solution of the equation x + 7y = 17, we can substitute the values of x and y from each option into the equation and see if it holds true:

A) (10, 1)

Substitute x = 10 and y = 1 into the equation:

10 + 7(1) = 10 + 7 = 17

So, (10, 1) is a solution.

B) (-4, 3)

Substitute x = -4 and y = 3 into the equation:

-4 + 7(3) = -4 + 21 = 17

So, (-4, 3) is also a solution.

So, both (10, 1) and (-4, 3) satisfy the equation x + 7y = 17, the correct answer is: option C) Both (10, 1) and (-4, 3)

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Answer: A-500 meters

Step-by-step explanation:

Answer:

a) 61

The friend's ages are consecutive, therefore they are each one year apart. There are 3 friends whose ages add up to 180 in total.

[tex]180 / 3 = 60[/tex]

In order to make three consecutive numbers, subtract one and add one to 60.

[tex]60 - 1 = 59\\60 + 1 = 61[/tex]

You get 59, 60, and 61.

61 is the oldest age, that's your answer.

|x| = 5

x = 5 or x = -5

You need a graph that has a closed dot on -5 and a closed dot on 5.

Answer: B. Picture B

It would be $165. If she earns $75 a day, plus what she make from selling the furniture. That 15% of $600 is $90. Simply add $90+$75 and your answer is $165.

Answer: The correct option is second, i.e., [tex]g(x)=3f(x)[/tex].

Explanation:

A functions g(x) is stretch or compressed of graph of function f(x) is defined by the equation,

[tex]g(x)=kf(x)[/tex]

Where, k is a constant and it shows the compress or stretch factor.

If k>0, then it is a stretch factor and the graph of f(x) is stretched by factor of k.

If k<0, then it is a compress factor and graph of f(x) is compressed by factor k.

Since the graph of g(x) is a vertical stretch of the graph of function f(x) ​​by a factor of 3, therefore,

[tex]g(x)=3f(x)[/tex]

So, the option second is correct.

Answer

24 quarts of green paint should be mixed with 4 cups of black paint.

That is (96 cups)

Step by step explanation

Jasper Green mix 4 quarts of green paint with 2/3 cups of black paint.

Let's convert 4 quarts into cups.

1 quart = 4 cups

4 quarts = 16 cups

Here mix 16 cups of green paint with 2/3 cups of black paint.

Let's use the proportion

Green paint                      Black paint

16                                          2/3

x                                            4

16/x =2/3 divided by 4

[tex]\frac{16}{x}  = \frac{2/3}{4}[/tex]

Cross multiplying, we get

16*4 = 2/3 x

64 = 2/3 x

x = 64/(2/3)

x = 64 * 3/2

x = 192/2

x = 96 cups

96 cups of green paint should be mixed with 4 cups of black paint.

We can covert 96 cups into quarts by dividing by 4

96/4 = 24 quarts

24 quarts of green paint should be mixed with 4 cups of black paint.

Thank you.

To make Jasper Green with 4 cups of black paint, you need to create a proportional relationship and solve for the amount of green paint needed, which is 96 cups.

To solve this, we need to set up a proportional relationship between the amounts of green paint and black paint. In the first mixture, we have 4 quarts of green paint for every 2/3 cups of black paint. Converting 4 quarts to cups (since 1 quart = 4 cups), we get 16 cups of green paint.

Then we can set up the proportion: (16 cups green / 2/3 cups black) = (x cups green / 4 cups black). Cross multiplying and solving for x, we get x = 96 cups of green paint. So, to make Jasper Green with 4 cups of black paint, you need to mix in 96 cups of green paint.

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What is the expression?

Any value of y, except when y = -4.9, will make the expression equal to 2.45.

4 months because:

1 month = 5 dollars

so you add 5 until you get to 20 dollars. And as many times as you added 5 is how

many months. So:

5= 5

5 + 5 = 10

5+5+5= 15

5+5+5+5= 20

^   ^   ^  ^

1    2  3  4

your answer is 4 months ^^

a) 9 + -5 =  9-5 = 4

b)  3 +-4 = 3 -4 = -1

c) -8 + 6 = -2

Answer:

The variable p represent the number of packages.

Step-by-step explanation:

As 4.45 is the cost of tomatoes, and 4.45p represents the cost of the tomatoes for a number of packages, we can say that p represent the number of packages.

answer is C. 6 feet.

 [tex]\frac{3 (ft)}{2(in)} by \frac{2(ft)}{\frac{4}{3}(in)}[/tex]

= [tex]\frac{3 (ft)}{2(in)} by \frac{2(3)(ft)}{4(in)}[/tex]

= [tex]\frac{3 (ft)}{2(in)} by \frac{3(ft)}{2(in)}[/tex]

Scale factor is: [tex]\frac{3(ft)}{2(in)}[/tex]

Answer:

Step-by-step explanation:

Every transformation has an original figure and a transformed figure.

In order to find the scale factor fo the transformation, we need to divide the transformed dimensions by the original ones.

So, in this case, the poster originally had 3 feet by 2 feet. Then, the reproduced artwork has 2 inches by 1 1/3 inches. Before we divide, we need to transform feet to inches.

We know that 1 feet equals 12 inches, that means

[tex]3ft \frac{12in}{1ft} =36in[/tex]

[tex]2ft\frac{12in}{1ft}=24in[/tex]

Then, we do the divisions

[tex]\frac{36in}{2in}=18\\\frac{24in}{1\frac{1}{3}in }=\frac{24in}{\frac{4}{3}in }=\frac{96}{3}=32[/tex]

Therefore, the scale factor is [tex]\frac{18}{32}=\frac{9}{16}[/tex]

14.1 inches is the total snowfall for Dec. and Jan. together.

We are given

First expression:

[tex]4^{-5} \cdot (4 \cdot 9)^{5} \cdot 9^{-3}=4^{-5} \cdot (4^{5} \cdot 9^{5}) \cdot 9^{-3}[/tex]

We used property

power rule-II:

Product to power distribute  to each base

[tex](a \cdot b)^m=a^m \cdot b^m[/tex]

Second expression:

[tex]=(4^{-5} \cdot 4^{5}) \cdot ( 9^{5}) \cdot 9^{-3})[/tex]

we used property

associative property of multiplication:

[tex]a \cdot b \cdot c \cdot d =(a \cdot b) \cdot (c \cdot d)[/tex]

Third expression:

[tex]=4^0 \cdot 9^2[/tex]

we used property

Product Rule:

Same base add exponents

[tex]a^m \cdot a^n =a^{m+n}[/tex]

Fourth expression:

[tex]=1 \cdot 9^2[/tex]

we used property

Zero Exponent :

Anything to the zero power  (except 0) is one

[tex]a^0=1[/tex]

Fifth expression:

[tex]= 9^2[/tex]

we used property

Multiplicative identity:

[tex]1 \cdot a=a[/tex]

Sixth expression:

[tex]= 81[/tex]

We used simplification

9-5(-7x+5)

------------------

9+35x-25

35x+9-25

35x-16

Hello!

[tex]9 - 5(-7x + 5)[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓↓↓↓

First you had to expand.

[tex]-5(-7x+5):35x-25[/tex]

[tex]9+35x-25[/tex]

Then simplify it should be the correct answer.

[tex]9+35x-25:35x-16[/tex]

[tex]=35x-16[/tex]

Answer⇒⇒⇒⇒35x-16

Hope this helps!

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Have a great day!

-Charlie

Given cost function C(a) = 7.5a, where a is the number of T-shirts.

Let us complete table.

We need to plug a=1,2,3,4 in above function to get the costs to complete the table.

For a =1

C(1)= 7.5(1) = 7.50

For a =2

C(2)= 7.5(2) = 15.00

For a =3

C(3)= 7.5(3) = 22.50

For a = 4

C(4)= 7.5(1) = 30.00

In order to find the common difference we need to find the diffrences of costs 15-7.50 = 7.50

22.50-15.00=7.50.

a represents the number of T-shirts.

Domain of a is the numbers we can take for a.

So, we can take value for a as 0 or greater value.

Therefore, domain for a would be a is gerater than or equal to 0.

Answer:

17

Step-by-step explanation:

86 , 84 , 79, 87 , 75 , 84, 89, 90, 88, 92

The lowest and highest grades are shown above.

92 - 75 = 17

Answer:

17

Step-by-step explanation:

86 , 84 , 79, 87 , 75 , 84, 89, 90, 88, 92

The lowest and highest grades are shown above.

92 - 75 = 17