1. -2(n-6) 2. (5b-4)1/5 3. 2/3(6y+9) 4. 4t-7t 5. -18v squared + 23v squared 6. 13q-30q

Answer:

the smallest

Step-by-step explanation:

To solve the given proportion using multiplication, cross-multiply by multiplying the numerators and denominators, and then divide to find the value of Y, which is approximately 7.33.

In mathematics, a proportion is an equation stating that two ratios are equal. It expresses the relationship between quantities. For example, if a/b = c/d, where b and d are not zero, it forms a proportion.

To solve the proportion Y/9 = 44/54 using multiplication, we can cross-multiply.

Multiply 9 by 44 and then divide by 54 to find Y

9 * 44 = 396

396 / 54 = 7.33

So, Y is approximately 7.33

Answer:

16

Step-by-step explanation:

Answer:

B: 16 weeks

Step-by-step explanation:

If we are given the equation y = -27x + 577 and that

x = weeks

y = money left in account

Then you must replace 145 (the money) for y and solve for x (the weeks)

145 = -27x + 577

145 - 577 = -27x + 577 - 577

-432 = -27x

-432/-27 = -27x/-27

16 = x

This means that after 16 weeks Alma will have $145 left in her account

Hope this helped!

The amount of gas left in this car's gas tank with a fraction of probably 3/8.

There is a fraction, containing a numerator(upper value) and denominator(lower value).  When the numerator is less than the denominator, the fraction is called a proper fraction, otherwise, it is called an improper fraction. A proper fraction is also called a fraction that is less than 1.

We need to find the approx amount of gas left in this car's gas tank with a fraction.

So, the diagram shows the three levels as empty, half, and then full  

We can see that the mark is a little less than half and greater than empty.

So it should be lies between  0 to 1/2.

Therefore, the amount of gas left in this car's gas tank with a fraction of probably 3/8.

Learn more about fractions;

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Out of the total of 120 cards, Allison has 100 baseball cards.

Allison has a total of 120 baseball and football cards.

The baseball cards are 5 times the football cards so assuming the football cards were denoted as x, the baseball cards would be denoted as:

= 5 × x

= 5x

The cards in her possession can be found by solving for x:

Baseball cards + Football cards = 120

5x + x = 120

6x = 120

x = 120 / 6

x = 20 football cards

Baseball cards:

= 5x

= 5 x 20

= 100 baseball cards

In conclusion, she has 100 baseball cards.

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For the equation |2x−10|=−3x, the absolute value cannot be negative, therefore there is no valid solution. Any solution derived would be considered an extraneous solution. Extraneous solutions are those that appear during the solving process but are not valid.

The given equation is a mathematical expression |2x−10|=−3x. However, it should be noted that the absolute value of a number cannot be negative, so technically, there is no solution to this equation. This means the equation doesn't have a valid solution, but rather an extraneous solution.

An extraneous solution often arises in the process of solving an equation but is not a true solution. They often appear when you square both sides of an equation, as this often introduces new solutions that weren't part of the original equation.

So, in this case, since the absolute value can not be negative, it is impossible for |2x - 10| to be equal to -3x. Hence, any solution derived from this equation would be considered an extraneous solution.

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Answer:

A reflection across the x-axissssss

Step-by-step explanation:

I hope this helps!

- sincerelynini

Answer: The value of g is 7.12.

Explanation:

The given equation is,

[tex]25(g-7)=3[/tex]

Use distributive property to solve the equation.

[tex]25g-175=3[/tex]

Using addition property of equality add 175 both sides.

[tex]25g-175+175=3+175[/tex]

[tex]25g=178[/tex]

Using division property of equality, divide both sides by 25.

[tex]\frac{25g}{25} =\frac{178}{25}[/tex]

[tex]g=\frac{178}{25}[/tex]

[tex]g=7.12[/tex]

Therefore the value of g is 7.12.

To check the answer put the value of g in given equation.

[tex]25(7.12-7)=3[/tex]

[tex]25(0.12)=3[/tex]

[tex]3=3[/tex]

LHS is equal to RHS, therefore the value g=7.12 is correct.

Answer:

Step-by-step explanation:

We are given an exponential function [tex]f(x) = (0.07)^x[/tex].

We know, the standard exponential function [tex]y= a(b)^x[/tex], where a is the initial value and b is growth factor.

If b is greater than 1, then it would be an Exponential growth and if  b is less  than 1, then it would be an Exponential decay.

Also b= 1+r,  where r is the rate of decay or growth.

For the given function [tex]f(x) = (0.07)^x[/tex], we can see than b= 0.07.

0.07 is less than 1.

Therefore, it would be an Exponential decay.

Now, let us find rate of decay.

1+r = 0.07.

Subtracting both sides by 1, we get

r = 0.07-1 = -0.93.

In percentage it would be 93%.

Therefore, correct option would be

Joshua needs 17 additional customers to meet his goal of selling more than 20 items at the farmers' market.

To find the number of additional customers Joshua must have to meet his goal, we first need to calculate the number of items he has already sold. Joshua has sold 6 items, and each customer buys 2 items. So, the number of customers Joshua has served is 6 / 2 = 3 customers.

To meet his goal of selling more than 20 items, Joshua would need to have c additional customers. Therefore, the number of additional customers is 20 - 3 = 17 customers.

Final answer:

Joshua has sold 6 items and each customer buys 2. To meet his goal of selling more than 20 items, he must solve the inequality 6 + (2 × c) > 20 to find the number of additional customers needed. After solving, he needs more than 7 additional customers.

Explanation:

The subject question involves creating an algebraic expression to help Joshua determine the number of additional customers he must have to meet his goal of selling more than 20 items at a farmers' market. Joshua has already sold 6 items, and each customer buys 2 items. We let c represent the number of additional customers Joshua needs. To solve this problem, we need to create an algebraic equation and solve it for c.

Joshua's goal: sell > 20 items
Joshua's current sales: 6 items
Items per customer: 2 items
Additional customers needed: c

The equation will be:
6 + (2 × c) > 20
To find c, we subtract 6 from both sides of the inequality:
(2 × c) > 14
Then we divide both sides by 2:
c > 7

Therefore, Joshua needs more than 7 additional customers to meet his goal of selling more than 20 items.

The Greatest Common Factor (GCF) of 6x and 20xyz is determined by factorizing both terms and finding the common factors. Through this process, we find that 2x is the GCF.

The question is asking for the Greatest Common Factor (GCF) of 6x and 20xyz. The GCF is the largest number or terms that divide both numbers exactly. To find the GCF, we usually list all the factors and select the largest one that is common to both. Let's break down the terms:

Therefore, the greatest common factor of 6x and 20xyz is 2x.

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Final answer:

The rule for the given sequence is to multiply the previous term by 4. The sequence follows a pattern of 4 raised to the power of increasing integers starting from 0.

Explanation:

The sequence given is 1, 4, 16, 64, 256. To find the rule for this sequence, let’s examine the relationship between the consecutive numbers.

1 multiplied by 4 is 4

4 multiplied by 4 is 16

16 multiplied by 4 is 64

64 multiplied by 4 is 256

So, the rule for this sequence is to multiply the previous term by 4 to get the next term. Another way to express this is that each term is 4 to the power of n, where n is an increasing integer starting from 0 (4^0 = 1, 4^1 = 4, 4^2 = 16, and so on).