Solve for x in the given equation: ax - b = c

Answer:

Step-by-step explanation:

Use the definition of a logarithm, logb(x)=y ⟹ by=x, to convert from the logarithmic form to the exponential form.

Hopefully this helps you

- Matthew

Since we know the scale factor of 1 inch represents 7.5 feet, we can plug in the dimensions for the scale on which the architect drew.

For 14 feet, we can multiply 14 by 1 inch/7.5 feet to get a product of 1.87 inches. Then, we can do the exact same thing with the other width of the floor, which is 24. 24 × 1/7.5 = 3.2

The final dimensions of the blueprint will be D, 1.87 inches by 3.2 inches.

Answer:

log_b x^3y^4

Step-by-step explanation:

see image

Answer:

Step-by-step explanation:

A. 2100+2590= 4,690

B. 3685-1485=2,200

C. 19,401-10,701= 8,700

D. 384+2,016=2,400

E. 44.4-43.6=0.8

F. 58.65-24.65=34

G. 41.65

Answer:

8%

Step-by-step explanation:

She earned 8 dollars on a 100 dollar investment

8/100 = 8%

The answer is  8%

Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest. Simple interest relates not just to certain loans. It's also the type of interest that banks pay customers on their savings accounts.

Given here: Principal as $100 and return as $108 and t=1

Thus 8=100×1×r /100

r=8%

Hence, The rate of interest is 8%

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Answer: 7/10

Step-by-step explanation:

The probability of an event can be calculated as:

[tex]P(E)=\frac{n(F)}{n(T)}[/tex]

Where n(F) is favorable outcomes and n(T) is total possible outcomes.

The total number of marbles can be obtained as,

8 + 6 + 6 = 20

The probability of marble being white can be calculated as,

[tex]P(W)=\underline{\frac{6}{20}}[/tex]

Now, the probability of the marble not being white can be evaluated as,

[tex]\begin{aligned}P^{\prime}(W) &=1-\frac{6}{20} \\&=\frac{20-6}{20} \\&=\frac{14}{20} \\&=\frac{7}{10}\end{aligned}[/tex]

Therefore, the probability of the marble not being white is 7/10

Answer:

there is 92.25

Step-by-step explanation:

15x2=30

then you have to find out 5% out of 45 because you need to get 35 not 30.

Answer:

Step-by-step explanation:

Remark

All you need do is find the radius and put it into the formula V = (4/3) pi r^3.

Givens

d = 12 yards

r = d/2

Solution

r = 12 yds/2 = 6 yds

V = 4/3 pi r^3

V = 4/3 * 3.14 * 6*6*6

V = 904.32

Answer 904.4 yd^3

Answer:

297.375 miles

Step-by-step explanation:

Since lisa rides 15.25 miles in 1 week and we are looking for how many miles she rides in 19.5 weeks, we must multiple 15.25 miles by 19.5 because she rides 15.25 miles, 19.5 times.

15.25*19.5=297.375

Answer:

e

is congruent with x f is congruent with x and g is congruent with y Step-by-step explanation:

angle E = angle X

angle F = angle Y

angle G = angle Z

hope it helps...!!!

Answer:

Step-by-step explanation:

P= probablity

P (>3  or odd)  

assuming this std.  number cube is 1 to 6, then,

greater than 3 is 50%

so  we've accounted for   1, 3, 4, 5, 6 on the dice what's left  2  :D

so P( >3 or odd) = 5/6  or  83.3333333333333%

Answergrater than 3

Step-by-step explanation:

Answer: (x - 1)(x - 23)

Step-by-step explanation:

    First, we can factor the x² part:

(x)(x)

    Next, we will look at the -24x and +23

-> We need two numbers that multiply to 23 and add to -24

-> 23 is a prime number, so we will use 1 and 23

    For -24, 1 and 23 must be added together. Since a negative times a negative is a positive, and a negative plus a negative is a positive, we will turn them into -1 and -23.

    This gives us a final answer of:

(x - 1)(x - 23)

Answer: (x - 1)(x - 23)

Step-by-step explanation:

attached the picture below of the working...

hope that helps...

Answer:

First Option (-4,-3)

Step-by-step explanation:

x+2y=-10

-y=3x+15

-4+2(-3)=-10
-10=-10

-3=3(-4)+15
-3=-3

[tex]4z^2-25\\\\=(2z)^2-5^2\\\\=(2z+5)(2z-5)[/tex]

Answer:

items sold in 1 day = 140

Step-by-step explanation:

14 pairs of jeans = 28 jeans total

the 14 "pair of jeans" repesents 20% of the total = x

28 = 20x/100

2800/20 = x

x = 140

Answer:

227

Step-by-step explanation:

Since they give you the hypotenuse length of 290in and they ask you to find the length os the adjacent angle, use the cosine to find side b.

So you do tan38=b/290 then calculate.

The true answer is 226.5728 but they ask you to round.

Answer:

A.765 seats are not in the balcony

Step-by-step explanation:

if 15% are in the balcony then 85% are not in the balcony so..

900 * 0.85 = 765

Answer:

765

Step-by-step explanation:

900*.15=135

900-135 = 765

Answer:

your answer is 20.

Step-by-step explanation:

Answer:

cubes = (5)(5)(5)

number of cubes =125

to fit

Answer:

The one on the left shows a proportional relationship between x and y.

Step-by-step explanation:

equation your going to use = y ÷ x or y/x (both mean divide)

2÷4 = 0.5

5÷10 = 0.5

6÷12= 0.5

All have the same answers so that makes it a proportional relationship.

Answer:

The answer is definitely Option A

Answer:

Q+D = 65, multiply both sides by 2525Q + 25D = 162525Q + 10D = 950  subtract to get            15D = 675               D = 675/15 = 135/3 = 45 dimes               Q = 65-45 = 20 quarters25(20) + 10(45) = 500+450 = 950

Answer: go to the website

Step-by-step explanation:

Answer:

72%

Step-by-step explanation:

Answer:

Lower quartile = 6

Median = 8

Upper quartile = 9

Step-by-step explanation:

If you take away a number from each end of the number set one by one, you will end up with 7 and 9 in the middle. To find the median between two numbers, add them together then divide them by 2.

7 + 9 = 16

16 ÷ 2 = 8

_________________

To find the lower and upper quartiles, split the number set into two where the median is, then, find the median of those two sections.

Lower quartile: 4, 5, 6, 6, 7

Median = 6

-

Upper quartile: 9, 9, 9, 9, 9

Median = 9

So, the median of the whole set is 8, the lower quartile is 6, and the upper quartile is 9.

hope this helps!

Answer:

[tex]5\frac{3}{4}[/tex]

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Since we have to convert mixed numbers to fractions, [tex]2\frac{7}{8}[/tex] becomes [tex]\frac{23}{8}[/tex]

And for whole number, add a 1 as the denominator.

[tex]\frac{2}{1}[/tex]

Now, the equation becomes...

[tex]\frac{2~*~23}{1~*~8}[/tex]

[tex]2 * 23 = 46[/tex]

[tex]1 * 8 = 8[/tex]

Convert these two numbers to a fraction.

[tex]46~and~8~-- > ~\frac{46}{8}[/tex]

Simplify 46 over 8 and make it a mixed number.

[tex]\frac{46}{8} -- > 5\frac{3}{4}[/tex]

why is the denominator 4? we had to simplify 8 using its GCF along with 46

the GCF is 2, so simplify using 2. to simplify, divide the number by its GCF.

[tex]\frac{46}{2} = 23\\\\\frac{8}{2} = 4[/tex]

now you have [tex]\frac{23}{4}[/tex]

and that, in mixed number, translates to [tex]5\frac{3}{4}[/tex]

________________________________________________________

Ask in comments.

Answer:

4 is a factor

Step-by-step explanation:

thats what a number being multiplied is called

The rate of change of the sles of the clothing store that Ezekiel manages from May to June is $2,175

Subtraction is the mathematical operation that involves determining the difference between two or more numbers.

Rate of change = sales in June - sales in May

$131,975 -  $129,800 = $2,175

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