u=3a-1
Solve the equation for the indicated variable: a

Answer:

y = ( x^2 / 2 ) + 3

Step-by-step explanation:

Swap x and y, then isolate y to find a function's inverse

x = sqrt ( 2y - 6 )

x^2 = 2y - 6

x^2 + 6 = 2y

( x^2 / 2 ) + 3 = y

y = ( x^2 / 2 ) + 3 is the final answer.

Answer:

Less than 1

Step-by-step explanation:

As 0.644 and 0.25 are less than 1, then

[tex]0.644=\frac{1}{p}[/tex]

[tex]0.25=\frac{1}{q}[/tex]

where p and q are greater than 1

then

[tex]0.644\times0.24=\frac{1}{p.q}[/tex]

But p.q is greater than 1, so 1/(p.q) is smaller than 1

Answer:

Less than 1

Step-by-step explanation:

Both the number are less than 1, i.e 0.64 and 0.25.

Hence, the result will always be less than 1 and will be in zeros.

If you write both numbers in fraction, the denominator will be greater than the numerator, hence the resulting fraction will be less than 1.

Hope this helps.

Good luck and thankyou.

Answer:

6

Step-by-step explanation:

32×20%

32×.20

6.4

round it to 6

Answer:

6

Step-by-step explanation:

32×20%

32×.20

6.4

round it to 6

The equivalent ratio of girls to boys in the school orchestra is 3 to 2 or 3:2.

Solving equivalent ratios

Equivalent ratios are similar ratios in mathematics, that has different terms but the same solution after being solved. The ratio of two numbers usually compares the size of two numbers together.

To find equivalent ratio of a given number. we need to either multiply or divide the original value.

Here, we are to find the  equivalent ratio of girls to boys in the school orchestra is 15 to 10.

Girls to boys = 15: 10

i.e.

[tex]\dfrac{15}{10}[/tex]

In its lowest terms, we can divide both the numerator and the denominator by 5, by doing so we get an equivalent ratio.

[tex]= \dfrac{15 \div 5}{10 \div 5}[/tex]

[tex]= \dfrac{3}{2}[/tex]

Answer:

the answer would be 7y+8

Step-by-step explanation:

16 + 7y - 8

so you'll group like terms like this

7y + 16 - 8

then you will Add/Subtract the numbers

so 16 - 8 = 8

solve that then add in 7y and you get your answer :)

7y + 8

The simplified form of the expression is 8 + 7y.

To simplify the expression 16 + 7y - 8, you combine like terms by adding or subtracting the coefficients of the same variables. In this case, the constant terms (16 and -8) can be combined, and the term with the variable (7y) remains the same.

To simplify the expression, we combine the like terms, which means we add or subtract the coefficients of the same variables.

16 + 7y - 8 simplifies to:

(16 - 8) + 7y = 8 + 7y

The simplified form of the expression is 8 + 7y.

Read more on mathematical expressions here https://brainly.com/question/1859113

#SPJ6

Answer:

32.5 miles

Step-by-step explanation:

The average speed is 65 miles per hour.

You want to keep your commute within 30 minutes, which is HALF AN HOUR.

THus, if you can go 65 miles AN HOUR, in HALF AN HOUR, you can go max, HALF OF THAT!!

So, [tex]\frac{1}{2}*65=32.5[/tex]

Thus, you can go 32.5 miles, max

Answer:

The farthest distance would be 32.5 miles

Step-by-step explanation:

Given,

Speed = 65 miles per hour,

If t represents the time ( in hours ) taken in travelling,

Since, time has to commute down less than 30 minutes,

Also, 1 hour = 60 minutes,

[tex]\implies 1\text{ minute}=\frac{1}{60}\text{ hour}[/tex]

[tex]\implies 30\text{ minutes}=\frac{30}{60}=\frac{1}{2}\text{ hour}[/tex]

Thus,

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

i.e. the highest time taken = 1/2 hours,

We know that,

Distance = speed × time,

∵ Distance ∝ time,

⇒ Distance will farthest for largest time taken,

Hence, the farthest distance = [tex]65\times \frac{1}{2}[/tex] = 32.5 km.

Answer:

415320

Step-by-step explanation:

According to the Power of 10 rule, whenever you divide by 10 [⅒], you move the decimal mark to the left each time, and of course, whenever you multiply by 10, you move the decimal mark to the right each time. In this case, the decimal mark is just after the 2, so multiplying by 10 will add a zero to the number, making it 413520 [four hundred thirteen thousand, five hundred twenty].

I am joyous to assist you anytime.

Answer: Casey had the most votes.

Order from most to least: Casey (12/30), Bo (9/30), Avery (8/30), Daisy (1/30).

Step-by-step explanation:

We need to firstly get then all to have the same denominator.

15 * 2 = 30

4 * 2 = 8

Avery = 8/30

10 * 3 = 30

3 * 3 = 9

Bo = 9/30

5 * 6 = 30

2 * 6 = 12

Casey = 12/30

Daisy = 1/30

Answer:

Casey had the most votes

Step-by-step explanation:

2021, lol

Answer:

C. y = 2x - 5

Step-by-step explanation:

–3y = –6x + 15

____ _________

–3 –3

y = 2x - 5

I am joyous to assist you anytime.

The two angles given, X and 2x are supplementary angles which when added together need to equal 180 degrees.

Set up an equation to solve for x:

x + 2x = 180

Simplify:

3x = 180

Divide both sides by 3:

x = 180/3

x = 60 degrees.

Answer:

s[tex]s^{3}[/tex]

Step-by-step explanation:

A cube's volume is its length * width * height. Its length, width, and height are all equal to s.

A cube's edge length is another word for its side length, which is the same for every edge in the cube.

To write the equation for the volume with s substituted for length, width, and height, we get that volume = s[tex]s^{3}[/tex].

Answer:

m - 10

Step-by-step explanation:

7 plus = 7 +

The sum of m and -17 = m + (-17)

7 + (m + -17)

We can get rid of the parentheses

7 + m + -17

Combine like terms

7 + -17 = -10

m + -10

Get rid of the addition sign

m - 10

Answer:

D. A is the smallest angle

Step-by-step explanation:

Angle A's lines are closest together

Answer:

D. A is the smallest angle

Step-by-step explanation:

To answer this question properly, we need to remember that the sum of the three angles, in a triangle, must result in 180º. Besides, each leg of this triangle is in the opposite direction to the angle of its vertex.

Finally, with the help of a compass we can demonstrate it even better, but in short,  the larger the leg the larger the angle. So, ∠A is the smallest angle since a measures 7 units, then comes ∠B for b measures 10 units and ∠C as the largest angle for c measures 12 units.

Answer:

18000

Step-by-step explanation:

12 x 1500

=18000

Have a nice day!!!!!!! :-)

KA

Answer:

18,000 people.

Step-by-step explanation:

To solve this, you would use multiplication. So your problem would be:

12*1500=?

The answer to this is 18000.

So, the seating capacity of the stadium is 18000 people.

Answer:

17-2*3-8=3

Step-by-step explanation:

We have given:

17_2_3_8=3 insert + - × or ÷ symbols to make each statement true​?

Solution:

We will insert multiplication sign between 2 and 3 and then subtract all the terms

17-2*3-8=3

We will solve it according to the DMAS rule:

DMAS rule is followed when multiple arithmetic operations are there in a given problem like addition, subtraction, multiplication and division. It tells they should be performed in order of Division, Multiplication, Addition and Subtraction. Without DMAS rule all mathematical equations will come up with different answers.

Lets solve the expression and check whether the L.H.S = R.H.S

17-2*3-8=3

17-6-8=3

11-8=3

3 =3

Be sure to multiply first and then subtract

⇒You can also insert addition sign in place of multiplication. It will give the same answer

Answer:

17 - 2 × 3 - 8 = 3 ⇒ (- , × , -)

Step-by-step explanation:

Lets revise the order of operation

# Multiplication and Division which comes first from left to right

# Addition and Subtraction which comes first from left to right

Lets explain how to solve the problem

17 __ 2 __ 3 __ 8 = 3

We want to use + , - , × or ÷ symbols to make the statement true

Lets try to find the correct operations

∵ The answer is smaller than all the numbers in the statement

∴ There is subtraction

∵ 17 - 2 = 15

∵ 15 - 3 = 12

∵ 12 - 8 = 4 which is not the answer

Then lets multiply 17 , 2 and multiply 3 , 8 and subtract their results

∵ 17 × 2 = 34

∵ 3 × 8 = 24

∵ 34 - 24 = 10 which is not the answer

Then lets multiply 2 , 3 and then subtract the result from 17 and then

subtract 8 from the last result

∵ 2 × 3 = 6

∵ 17 - 6 = 11

∵ 11 - 8 = 3 which is the answer

∴ 17 - 2 × 3 - 8 = 3

∴ The symbols are -  , × ,  -

Answer:

75=15+2x

30 degrees in Chicago

Step-by-step explanation:

x will be Chicago's temperature.

75=15+2x

Because 75 is the total temperature in Tampa, and you get that total temperature by adding 15 and 2 times the temperature of Chicago.

Subtract 15 from both sides.

60=2x

Divide 2 from both sides.

30=x

So it's 30 degrees in Chicago.

Answer: [tex]75=2C+15[/tex]

Step-by-step explanation:

Given : The temperature in Tampa, Florida is 15 degrees warmer than twice the temperature in Chicago, Illinois.

Let the temperature in Chicago is denoted as 'C in degrees'.

Since , The temperature in Tampa is 75 degrees.

Then, we have the following equation

[tex]75=2C+15[/tex]

Hence, an equation to determine the temperature in Chicago will be [tex]75=2C+15[/tex]

Answer:

Step-by-step explanation:

They start at the origin.because : when x = 0    y= 2(0) =0 and y=3(0)=0

Answer:

all are right

Step-by-step explanation:

In order to get the answer to this question you will have to use PEMDAS and solve.

[tex]6\times7-3^2\times9+4^3[/tex]

Using PEMDAS:

[tex]3^2=3\times3=9[/tex]

[tex]4^3=4\times4\times4=64[/tex]

[tex]6\times7-9\times9+64[/tex]

[tex]6\times7=42[/tex]

[tex]9\times9=81[/tex]

[tex]42-81+64[/tex]

[tex]81+64=145[/tex]

[tex]42-145[/tex]

[tex]42-145=-103[/tex]

[tex]=-103[/tex]

Therefore your answer is "-103."

Hope this helps.

Answer:

The value of the expression is 25.

Step-by-step explanation:

Consider the provided expression.

[tex]6 \times 7 - 3^2 \times 9 + 4^3[/tex]

First simplify the exponents.

[tex]3^2=9\ and\ 4^3=64[/tex]

Substitute the value of exponents in the provided expression.

[tex]6 \times 7 - 9 \times 9 + 64[/tex]

[tex]42- 81+ 64[/tex]

[tex]106- 81[/tex]

[tex]25[/tex]

Hence, the value of the expression is 25.

Answer:

[tex]|x+5|=1.5[/tex]

is the equation describing minimum and maximum acceptable temperatures.

The minimum temperature could be [tex]-6.5^{\circ}[/tex]

and the maximum temperature could be [tex]-3.5^{\circ}[/tex]

Step-by-step explanation:

The owner of a butcher shop keeps the shop's freezer at -5°C. It is acceptable for the temperature to differ from this value by 1.5°. So, the minimum temperature could be

[tex]-5^{\circ}-1.5^{\circ}=-6.5^{\circ}[/tex]

and the maximum temperature could be

[tex]-5^{\circ}+1.5^{\circ}=-3.5^{\circ}[/tex]

Let [tex]x^{\circ}[/tex] be acceptable temperature of freezer. The difference between the acceptable temperature and given temperature [tex]x-(-5)=x+5[/tex] cannot be more than 1.5° and less than 1.5°, so

[tex]|x+5|\le 1.5[/tex]

Then

[tex]|x+5|=1.5[/tex]

is the equation describing minimum and maximum acceptable temperatures.

Solve it:

[tex]x+5=1.5\text{ or }x+5=-1.5\\ \\x=1.5-5\text{ or }x=-1.5-5\\ \\x=-3.5\text{ or }x=-6.5[/tex]

Answer:

Part A: The cube root of a positive number is a positive number.

Part B: x = 3

A. Howie is wrong because he implied that the answer could be negative. B. The correct answer is x = 3.

When Howie attempted to solve the equation [tex]\(x^3 = 27\)[/tex], he mistakenly concluded that x = -3 was a solution.

However, [tex]\((-3)^3\)[/tex] is equal to -27, not 27. Therefore, -3 is not a valid solution to the equation.

Howie's answer was incorrect because he mistakenly included x = -3 as a solution, which does not satisfy the equation [tex]\(x^3 = 27\).[/tex]

The revised answer should only include the correct solution x = 3. The equation [tex]\(x^3 = 27\)[/tex] has only one real solution, which is:

x = 3

Answer:

82.38%

Step-by-step explanation:

Average cost = u = $ 1,015

Standard Deviation = [tex]\sigma[/tex] = $ 198

Its given that data is normally distributed. We have to find what percentage of vacationers spend less than $ 1200.

Since the data is normally distributed, we can use the concept of z score to answer this question.

We have to find:

Probability ( Spending < 1200)

In symbolic form, this can be represented as:

P(X < 1200)

The formula for the z score is:

[tex]z=\frac{x-u}{\sigma}[/tex]

Using the values in this formula, we get:

[tex]z=\frac{1200-1015}{198}=0.93[/tex]

Thus,

P(X < 1200) is equivalent to P(z < 0.93)

From the z table we can find the probability of z scores being less than 0.93 to be 0.8238

Thus,

P(z < 0.93) = 0.8238

Since,

P(X < 1200) = P(z < 0.93), we can conclude:

The percent of  Vacationers who spent less than $1,200 is 0.8238 or 82.38%

Answer:

Step-by-step explanation:

X/7=3/2  multiply by : 5

x = 21/2

Answer:

answer is below

Step-by-step explanation:

h=-12

Answer:

20³ in = 8000 inches³

Step-by-step explanation:

The formula to find the volume of a cube is s³

Answer: 100

Step-by-step explanation:

25*4 = 100

Hey!

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

Solution:

25 * 4 = 100

25 + 25 + 25 + 25 = 100

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

Check:

100 / 4 = 25

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

Answer:

25

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

Hope This Helped! Good Luck!

[tex]\text{Hello there!}\\\\\text{You're solving for x, meaning that you have to get x by itself}\\\\\text{Solve for x in the inequality:}\\\\-6 <x-1 <9\\\\\text{Add 1 to both sides}\\\\\large\boxed{-5<x<10}[/tex]

70000000 the reason that this is the answer to this is because if multiply 10 by 7 you will have 70 and just add 6 zeros

Answer:

Its 700000

Step-by-step explanation:

Answer:

[tex]t=\frac{3}{2}[/tex]

Step-by-step explanation:

1.

[tex]t+2=5-t[/tex]

2.

[tex]2t+2=5[/tex]

3.

[tex]2t=3[/tex]

4.

[tex]t=\frac{3}{2}[/tex]