Solve for x in the literal equation −18 = xy + z

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:

20³ in = 8000 inches³

Step-by-step explanation:

The formula to find the volume of a cube is s³

Answer:

18000

Step-by-step explanation:

12 x 1500

=18000

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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:

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:

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:

the length of CD is 4

the length of DE is 2

the ratio of CD to DE is 2:1

Step-by-step explanation:

The length of segment CD is 4 units and segment DE is 2 units. The ratio of CD to DE is 2:1.

To solve this problem, remember that points on a number line correspond to numbers and the lengths between the points correspond to the differences between these numbers.

The segment CD stretches from 0 to 4, hence the length of CD is 4 units.

The segment DE stretches from 2 to 0, hence the length of DE is 2 units.

However, since length cannot be negative, we take the absolute value of -2, which gives DE = 2 units.

Now, to find the ratio of CD to DE, we simply divide the length of CD by the length of DE.

The ratio of CD to DE can be found by dividing the length of CD by the length of DE. So, the ratio is 4/2 = 2.

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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].

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Answer:

-61

Step-by-step explanation:

[tex]\frac{x-9}{10} = -7[/tex]

[tex]x-9= -7(10)[/tex]

[tex]x-9= -70[/tex]

[tex]x= -70 + 9[/tex]

[tex]x= -61[/tex]

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]

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]

The rule for division by a fraction is "change to multiplication by the reciprocal."

So you want(4/3)(12) which is 4(4) = 16

[tex]\bf 12\div \cfrac{3}{4}\implies \cfrac{12}{1}\div\cfrac{3}{4}\implies \cfrac{\stackrel{4}{~~\begin{matrix} 12 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{1}\cdot \cfrac{4}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies 16[/tex]

Answer:

The distance between R and R' is 3 units ⇒ 1st answer

Step-by-step explanation:

A dilation is a transformation that produces an image that is the same

shape as the original, but in a different size.

If the image is larger than the original figure then dilation is called an

enlargement.

If the image is smaller than the original figure then the dilation

is called a reduction.

The image of a line by dilation parallel to the original line if the original

line not passes through the center of dilation.

Line segment QR is dilated to create line segment Q'R'

∴ QR is parallel to Q'R'

The factor of dilation is 1.5

∴ The length of Q'R' is 1.5 the length of QR

In Δs TRQ and TR'Q'

∵ QR // Q'R'

∴ m∠TRQ = m∠TR'Q'

∴ m∠TQR = m∠TQ'R'

∵ ∠T is common in the two triangles

∴ ΔTRQ is similar to ΔTR'Q'

∴ [tex]\frac{TR'}{TR}=\frac{R'Q'}{RQ}[/tex]

∵ [tex]\frac{Q'R'}{QR}=1.5[/tex]

∵ TR' = TR + y

∵ Tr = 6 units

∴ TR' = 6 + y units

∵ [tex]\frac{TR'}{TR}=\frac{6+y}{6}[/tex]

∴ [tex]1.5=\frac{6+y}{6}[/tex]

Multiply both sides by 6

∴ 9 = 6 + y

Subtract 6 from both sides

∴ 3 = y

* The distance between R and R' is 3 units

Answer:

3 Units on edge

Step-by-step explanation:

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.

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Answer:

(21, 17 )

Step-by-step explanation:

Using the midpoint formula and equating to the coordinates of the midpoint.

Let endpoint 2 have coordinates (x, y ), then

0.5(x - 3) = 9 ( multiply both sides by 2 )

x - 3 = 18 ( add 3 to both sides )

x = 21

and

0.5(y - 5) = 6 ( multiply both sides by 2 )

y - 5 = 12 ( add 5 to both sides )

y = 17

endpoint 2 = (21, 17 )

Answer:

Step-by-step explanation:

X/7=3/2  multiply by : 5

x = 21/2

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:

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].

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:

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.

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:

C. y = 2x - 5

Step-by-step explanation:

–3y = –6x + 15

____ _________

–3 –3

y = 2x - 5

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Hello!

2X  + 4 = 14

X = 5

2 * 5 = 10

10 + 4 = 14

I hope this helps, and have a nice day!

In order to get the answer to this question you will have to subtract four on both sides then divide ten by two to get your answer.

[tex]2x+4=14[/tex]

[tex]-4 -4[/tex]

[tex]14-4=10[/tex]

[tex]2x=10[/tex]

[tex]10\div2=5[/tex]

[tex]x=5[/tex]

Therefore the answer is "x=5."

Hope this helps

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:

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

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:

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:

answer is below

Step-by-step explanation:

h=-12

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!

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: