Eli has 7 games on his phone. His sister has 6 more than him. Which ratio compares the number of games on Eli’s phone to the number of games on his sister’s phone?

[tex]Solution, solve\:for\:x,\:3\left|x-3\right|+2=14\quad :\quad x=-1\quad \mathrm{or}\quad \:x=7[/tex]

[tex]Steps:[/tex]

[tex]\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}, 3\left|x-3\right|+2-2=14-2[/tex]

[tex]\mathrm{Simplify}, 3\left|x-3\right|=12[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}3, \frac{3\left|x-3\right|}{3}=\frac{12}{3}[/tex]

[tex]\mathrm{Simplify}, \left|x-3\right|=4[/tex]

[tex]|f\left(x\right)|=a\quad \Rightarrow \:f\left(x\right)=-a\quad \mathrm{or}\quad \:f\left(x\right)=a, x-3=-4\quad \quad \mathrm{or}\quad \:\quad \:x-3=4[/tex]

[tex]x-3=-4\quad :\quad x=-1[/tex]

[tex]x-3=4\quad :\quad x=7[/tex]

[tex]\mathrm{Combine\:the\:ranges}, x=-1\quad \mathrm{or}\quad \:x=7[/tex]

The correct answer is B. x=-1, x=7

Hope this helps!!!

  7x^3   +0x^2 +   2x   -1

+ -x^3    +8x^2   +2x    -6

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

6x^3     +8x^2  +4x    -7

standard form is from largest exponent to smallest exponent

sixty-two hundred= This would be 6200.

Hello there!

You had to find the prime factorization of 12

3*2*2=12

Then you find the prime factorization of 7.

7*1=7

7*3*2*2=84

Answer⇒⇒84

The least common multiple of 12 and 7 is 84.

Hope this helps!

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-Charlie

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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4 * √24

with √24 you find a side, per 4 and you have the perimeter of the square

4 * √24

4* 4.9=

19.6

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

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.

To determine the greatest number of people Oscar and Julie can invite within their budget, we can set up an inequality and solve for the variable 'x'. The total cost equation is $90 + $31x ≤ $2,000. Solving this inequality, we find that the greatest number of people they can invite is 61.

To determine the greatest number of people that Oscar and Julie may invite and still stay within their budget, we need to set up an inequality based on the given information. Let's denote the number of people they invite as 'x'. The total cost of the reception hall is $90 (cleanup fee) + $31 (per person) * x (number of people). This should be less than or equal to their budget of $2,000. So, the inequality is 90 + 31x ≤ 2000. To solve for 'x', we need to isolate the variable. Subtracting 90 from both sides, we have 31x ≤ 1910. Dividing both sides by 31, we find x ≤ 61.935. Since we can't have a fraction of a person, the greatest number of people they can invite is 61.

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

 [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]

answer is C. 6 feet.

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.

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

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:

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:Your Answer of the probability would determindedly be 3/25.

Step-by-step explanation:

Answer: A-500 meters

Step-by-step explanation:

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!

Answer: T = -32

Step-by-step explanation:

isolate T by multiplying both sides by -4 (the reciprocal of -1/4)

[tex]8 = -\frac{1}{4}T[/tex]

[tex](-4)8 = -(-4)\frac{1}{4}T[/tex]

-32 = T

Answer:

[tex]y = 5 + 0.003(2^{x})[/tex]

Step-by-step explanation:

If a base shipping charge of $ 5 is collected, it means that regardless of the amount of money spent, a base payment of $ 5 must be made for the shipment. Therefore the graph of the exponential function must move 5 units up on the positive y axis. Your new cutoff point with the positive y axis will be y = $ 5.003

Therefore, the new function that represents the shipping cost will be:

[tex]y = 5 + 0.003(2^{x})[/tex]

with [tex]x \leq 20[/tex]

The values of A and B of the given equation with the given coordinates are; A = 5 and B = -4

We are told the equation is;

Ax + By = 10

Since the equation goes through (6,5) and (-2,-5), then it means we have two simultaneous equations as;

6A + 5B = 10   ----(eq 1)

-2A - 5B = 10  ----(eq 2)

Add eq 1 to eq 2 to obtain;

4A = 20

A = 20/4

A = 5

Now, put 5 for A in eq 1 to get;

6(5) + 5B = 10

30 + 5B = 10

-5B = 30 - 10

-5B = 20

B = -20/5

B = -4

Thus, in conclusion, the values of A and B are 5 and -4 respectively.

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Values of A and B in the equation Ax+By=10, that pass through points (6,5) and (-2,-5), can be calculated by plugging these points into the equation, resulting in two simultaneous equations. On solving them, you find that A = 1 and B = -1.

In order to determine the values of A and B in the equation Ax+By=10 that passes through the points (6,5) and (-2,-5), first we plug these points into the equation. This will result in two simultaneous equations.

For the point (6,5), the equation becomes 6A + 5B = 10. For the point (-2,-5), the equation becomes -2A - 5B = 10. Solving these two simultaneous equations, you will obtain A = 1 and B = -1.

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Abby needs 2940 total and has 245, therefore she needs  2695 lbs

you would do 245x212= 51,940

OR

212x212= 44,944

Hope that helps its one oth those but i want to say its the first one 245x212=51,940

The domain is the first x of each ordered pair. The domain is 1, -30, -12, -11

The range is the y value : -27,30,21,4

A quotient is the answer that results from a number being divided by another number. In other words, it is the answer to a division problem. So, the quotient of y and 6 means that y is being divided by 6. Algebraically, you write this as y ÷ 6, or [tex]\frac{y}{6}[/tex]

The answer would be A, 3(x-6)(x+2)