Add parentheses to make true3 + 4 × 2 = 1472 ÷ 12 - 6 = 12

Answers

Answer 1

We want to find where to put the parentheses on each expression to make the expression true.

First, we identify the symbols +, x, / and - to identify the pairs of numbers. For example, in the expression

[tex]3+4\cdot2[/tex]

we have two symbols (+, *).

Now, this would give us two pairs of expression where we can put the parentheses. That is, one possibility per symbol. So we have

[tex](3+4)[/tex]

and

[tex](4\cdot2)[/tex]

Now, let us try the first choice. Remember that first we have to evaluate what is inside the parentheses. This would give us

[tex](3+4)\cdot2=7\cdot2=14[/tex]

which coincides to the value we wanted.

In the second case, we have the following symbols / and -

This would give us two pairs for grouping, namely

[tex](72/12)[/tex]

and

[tex](12\text{ -6)}[/tex]

as before, we will first evaluet the first option

[tex](\frac{72}{12})\text{ - 6=6 -6 =0}[/tex]

If we try the second option, we woud get

[tex]\frac{72}{(12\text{ -6)}}=\frac{72}{6}=12[/tex]

which would give us the correct value.


Related Questions

At an important meet Hassan won the mens 800 meters in 106.72 seconds Hassan ran at an average of blank meters per second

Answers

To find the average rate at which Hassan ran in meters per second, divide the distance of 800 meters over the 106.72 seconds that it took for Hassan to run that distance:

[tex]\frac{800m}{106.72s}=7.496251874...\frac{m}{s}\approx7.50\frac{m}{s}[/tex]

Therefore, Hassan ran at an average of 7.50 meters per second.

sheriff dale and sheriff john left the station at the same time in response to calls. dale drove north, john drove west, and dale drove at an average speed of 20mph faster than john. after 30 minutes, they were exactly 50 miles apart. what was john's average driving speed?

Answers

John's driving at a speed of 40 miles per hour

Given that,

Dale and John leave their home traveling in different directions on a straight road. Dale drives 20 miles per hour faster than John. After 30 minutes they are 50 miles apart.

a. Define a variable for Dale's rate: x mph

Write an expression for John's rate: x-20 mph

-------

b. Write and solve an equation to find Dale rate. Then find John's rate.

They are separating at the rate of x + x-20 = 2x-20 mph.

-------

Equation:

time*speed = distance

0.5(2x-20) = 50 miles

x-10 = 50

x = 60 miles

x = 60

----

John's rate = x-20 = 40 mph

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Evaluate. Write your answer as a whole number or as a simplified fraction.
3-1.9-¹ =

Answers

Answer:

27^-1

Step-by-step explanation:

1/3 ×1/9=1/27=27^-1

The water level in a tank measures 15 inches and is decreasing 0.5 inches every minute. How many minutes, x, will it take for the water level to measure 9 inches deep?

Answers

12 minutes .

The tank takes 12 minute for the water level to measure 9 inches deep.

Explain two step problem?A two-step problem is a word problem that must be solved in two steps.While many of these problems have only one step, a two-step word problem necessitates the solution of two different equations. Two different operations (such as multiplication and addition) or two of the same operation may be used in the two-step word problem (like subtraction and subtraction).

Given tank measurement = 15 inches .

it decreases 0.5 inches every minute.

We have to the minute at which water level reaches 9 inches deep,

Here the difference of inches is 6 inches .

15 inches - 6 inches = 9 inches

To find minute ,

  6 / 0.5 = 12 minute .

The tank takes 12 minute to measure 9 inches deep.

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Jina made $207 for 9 hours of work.
At the same rate, how much would she make for 13 hours of work?

Answers

She would make $2,691 for 13 of hours of work because if you add 207 13 times you get 2,691

Answer:

$299

Step-by-step explanation:

[tex](\frac{207}{9} )(13)=\frac{2691}{9}}} =299[/tex]

Hope this helps

A square has a perimeter of 40 m what is the length of each side

Answers

Answer:

10m

Step-by-step explanation:

Perimeter means adding up all of the sides of a shape.

One property of a square is that all lengths of a square are the same.

We also know squares have 4 sides.

Lets set up an expression to solve the length for each side with variable S representing the length of a side:

4 * S = 40

Divide each side by 4:

S = 10

Therefore, each side of the square has a length 10m

Worth 19 points, pls help

Answers

Scale factor 5 = 15
Scale factor 1/5 = 3/5




Something Is DIFFERENT about this problem..
I'm not sure what..
991 + 2 = ?

Answers

Answer: 993

Step-by-step explanation:

I BELIEVE THE ANSWER IS 993 BUT I'M NOT SURE !

It could be 10,000 i don't know but i'm pretty sure it's 993 !

Hope it helped !

I’ve been stuck on this problem for a while & I have an SHSAT practice test tomorrow, can someone please tell me how to solve this

Answers

The number of ways of different platters will be 360 ways.

How to illustrate the information?

From the information, it should be noted that the salad bar offers 6 different vegetables and it was illustrated that Selena wants to get exactly 2 different vegetables in the platter.

The number of different platters that she can create will be:

= nCr

n = total vegetables

r = amount needed

= 6! / 2!

= 6 × 5 × 4 × 3 × 2 / 2

= 360 ways.

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One triangle in the diagram below can be mapped onto the other using two reflections. Identify the
lines of reflection that would map one onto the other. Can you map one triangle onto the other using
just one basic rigid motion? If so, explain.

Answers

You didn’t show the diagram so mirror lines can’t be identified.
Two reflections can be done as a rotation with a centre where the mirrors intersect.
If the mirrors are parallel then you can use a translation (slide) instead.

10. Rotate 90° clockwise about the origin.

a. J '(-3,-4), K'(-6,-4), L'(-4,-3), M'(-1, -3)
b. J'(-4,-3), K'(-4,-6), L'(-3,-4), M'(-3,-1)
c. J'(-4, 3), K'(-4, 6), L'(-3, 4), M'(-3, 1)
d. J'(4, -3), K'(4, -6), L'(3,-4), M'(3,-1)

Answers

Check the picture below.

Find the measure of angles 1 and 2

Answers

Answer:

both angles 1 and 2 measure 135°

Step-by-step explanation:

angle 1 = angle 2 = 135°

Hope this helps

What is the solution to the equation 3x-4 = 8?
x=8
x=4
x=1
x=6

Answers

B) x=4

Explanation:

=> 3x-4=8

=> 3x=8+4

=> 3x=12

=>x=12/3

=> x=4

3) A group of students were testing the walking capability of a newly created robot. Using the graph, what can
you interpret about point A?

Answers

Answer:

The robot walked 2 meters in 8 seconds. Time is seconds on the x-axis since it's an independent variable and distance in meters on the y-axis.

What is the quotient of (−84) ÷ (−7) ÷ 4? −48 −3 3 48

Answers

Answer: 3

Step-by-step explanation:

(−84) ÷ (−7) ÷ 4=

-84/(-7)/4=

(84/7)/4=

12/4=3

NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

A is not equivalent

Step-by-step explanation:

A is .15 while all the others are .75 in some way

Answer:

0.15

Step-by-step explanation:trust me

Jabari is power washing houses for a summer job. For every job, he charges an initial fee plus a $30 sign, 30 for each hour of work. His total fee for a 4-hour job, for instance, is $170 sign, 170.
Jabari's total fee, f for a single job is a function of the number, t, of hours it takes him to complete the job.

Answers

The initial fee that Jabari collects is $50.

What is the initial fee?

It should be noted that Jabari is power washing houses for a summer job and for every job, he charges an initial fee plus a $30.

In this case, the amount collected was $170 for a four hours job. Let the initial fee be represented as x.

Therefore, this will be illustrated as:

x + (30 × 4) = 170

where x = initial fee

x + 120 = 170

Collect like terms

x = 170 - 120

x = 50

The initial fee is $50.

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Jabari is power washing houses for a summer job. For every job, he charges an initial fee plus a $30 sign, 30 for each hour of work. His total fee for a 4-hour job, for instance, is $170 sign, 170.

Jabari's total fee, f for a single job is a function of the number, t, of hours it takes him to complete the job. What is the initial fee?

11,000 with a 5/10/25 chain discount. Calculate the net price and trade discount

Answers

After the discount the net price is $7053.75 and the trade discount is 35.875% .

The term discount designates a sum or a percentage subtracted from an item's usual selling price.

A discount is a decrease in the cost of a commodity or service. Chain discounts can also be applied using the complement approach. To calculate each discount's complement, first subtract the discount from 100%. The net-price rate can be calculated by multiplying the complements to find the percentage that you really pay. The dollar value of the discount can also be determined using the complement technique.

The given marked price of the article is 11000

Price after first discount of 5% = 11000 - 5% of 11000 = 10450

Price after second discount of 10% = 10450 - 10% of 10450 = 9405

Price after third discount of 25% = 9405 - 25% of 9405 = 7053.75

Therefore the net price is 7053.75.

Therefore the trade discount is = ( 11000 - 7053.75 ) ÷ 11000 = 0.35875

Trade discount percentage = 35.875%

Hence after the discount the net price is $7053.75 and the trade discount is 35.875% .

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How many 1/4 inch pieces can be cut from a piece of ribbon 9/20 of an inch long

Answers

1/4 multiply both nominator and denominator by 5
5/20
Meaning only one 1/4 inch pieces can be cut from 9/20 of an inch

a sample of experienced typists revealed that their mean typing speed is 95 words per minute and the median typing speed is 77 words per minute. the standard deviation of typing speed is 16.9 words per minute. what is the pearson's coefficient of skewness?

Answers

The pearson's coefficient of skewness is found as the 1.065.

What is termed as the coefficient of skewness?The coefficient of skewness is a measurement used to evaluate the strength and direction of skewness in a sample distribution using descriptive statistics such as mean, median, or mode. The skewness coefficient is used to compare a distribution of the sample to a normal distribution.

Pearson skewness:

The skewness of the a data set is calculated by subtracting the mean from the median and dividing by the standard deviation.

In this case:

The mean is 95, the median is 77, as well as the standard deviation is 16.9. So,

Pearson skewness = (95 - 77)/16.9

Pearson skewness = 1.065.

Thus, the pearson's coefficient of skewness is found as the 1.065.

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What is an equation of the line that passes through the point (1,−7)
(1,−7) and is parallel to the line 3x+y=3
3x+y=3?

Answers

Answer:

[tex]3x + y = 3 \\ 3 = x - y \\ 3 = x[/tex]

Answer:

y = -3x - 4

Step-by-step explanation:

Pre-Solving

We are given the equation 3x + y = 3, and we want to find an equation of the line that is parallel to 3x + y = 3.

This same line also passes through the point (1, -7).

Parallel lines have the same slopes. This means that we'll first need to find the slope of 3x + y = 3.

The equation is written in standard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be 0. a is usually non-negative as well.

There is a shortcut into finding the slope when the equation is in standard form; the slope of the line is -a/b, where a is the coefficient in front of x and b is the coefficient in front of y).

The coefficient in front of x is 3, and 1 in front of y.

Solving

Substitute 3 as a, and 1 as b in -a/b. Don't forget about the - in front of a!

-3/1 = -3

This means the slope of the line is -3.

It is also the slope of the line parallel to it.

We can write the equation of the line we are trying to solve for in standard form, too. However, we could also write it in slope-intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept.

As we are already given the slope, we can immediately plug that into the formula.

Replace m with -3.

y = -3x + b

Now we need to find b.

As the equation passes through the point (1, -7), we can use its values to help solve for b.

Substitute 1 as x and -7 as y.

-7 = -3(1) + b

Multiply.

-7 = -3 + b

Add -3 to both sides

-4 = b

Substitute -4 as b into the equation

y = -3x - 4

The boca grande causeway in florida is about 1 4/9 times as long as the golden gate bridge in san francisco golden gate bridge is about 9000 feet long about how long is the boca grande causeway

Answers

The length of the Boca Grande Causeway = 13,000 feet.

When do we use multiplication ?

Repeated addition of the same number is made easier by multiplying the numbers. When we need to merge groups of similar sizes, we employ it. For instance, if there are 5 baskets, each containing 4 apples, we can use multiplication to get the total number of apples, which is 5 x 4 = 20 apples.

We can rapidly determine the total number of things by multiplying. When multiplying, we'll consider the number of groups with similar sizes and the number of items in each group.

Given: The boca grande causeway in florida = 1 4/9 times golden gate bridge

Length of the Golden Gate Bridge = 9000 feet

Thus the length of the Boca grande causeway = 1 4/9 × 9000

= 13/9 × 9000

On further solving we get

= 13 × 1000

= 13,000 feet .

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Find the slope between these two points:
(-19, 12), (-9, 1)

Answers

Answer:

3.1

Step-by-step explanation:

Answer Is: 3.1 ……///


100g+79g–4g–69g+41g=–
53

Answers

Answer:–

100g+79g–4g–69g+41g=–

53

Step-by-step explanation:

 

A store sells 12 cans of fruitcocktail for $21.How much would it cost you to buy 7 cans of ​fruit cocktail?

Answers

Answer:

$189

Step-by-step explanation:

you would take 27 × 7 and multiply the two numbers, then get your answer.

Answer:

$12.25

Step-by-step explanation:

The unit rate would be[tex]\frac{21}{12}[/tex] 1.75 a can

7 x 1.75 = 12.25

Which exponential function has the greatest average rate of change over the interval [0,2]

Answers

Step 1

Given;

Step 2

A) The equation of the graph will be;

[tex]\begin{gathered} y=ab^x \\ x=1,y=6 \\ 6=ab^1---(1) \\ x=0 \\ y=4 \\ 4=ab^0-----(2) \\ a=4 \\ \end{gathered}[/tex][tex]\begin{gathered} From\text{ equation 1} \\ 6=4b \\ b=\frac{6}{4}=\frac{3}{2} \\ The\text{ function is} \\ y=4(1.5)^x \end{gathered}[/tex]

At the interval [0,2]

[tex]\begin{gathered} y_1=4(1.5)^0 \\ y_1=4 \\ y_2=4(1.5)^2 \\ y_2=9 \\ Average\text{ rate of change=}\frac{f(b)-f(a)}{b-a}=\frac{9-4}{2-0}=2.5 \end{gathered}[/tex]

B)

[tex]\begin{gathered} 1.5=a(2)^0 \\ a=1.5 \\ y=1.5(2)^x \\ f(b)=6 \\ f(a)=1.5 \end{gathered}[/tex][tex]Average\text{ rate of change=}\frac{6-1.5}{2-0}=2.25[/tex]

C)

[tex]\begin{gathered} f(x)=3(1.6)^x \\ f(b)=7.68 \\ f(a)=3 \\ Average\text{ rate of change=}\frac{7.68-3}{2-0}=2.34 \end{gathered}[/tex]

D)

[tex]Average\text{ rate of change=}\frac{\frac{25}{2}-8}{2-0}=2.25[/tex]

Answer;

[tex]Option\text{ A}[/tex]

the points (-5,r) and (2,13) lie on a with slope 3 find the missing coordinate r

Answers

Answer:

r = - 8

Step-by-step explanation:

calculate the slope m using the slope formula , then equate to 3

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 5, r ) and (x₂, y₂ ) = (2, 13 )

m = [tex]\frac{13-r}{2-(-5)}[/tex] = [tex]\frac{13-r}{2+5}[/tex] = [tex]\frac{13-r}{7}[/tex]

then equating gives

[tex]\frac{13-r}{7}[/tex] = 3 ( multiply both sides by 7 )

13 - r = 21 ( subtract 13 from both sides )

- r = 8 ( multiply both sides by - 1 )

r = - 8

Expand and state your answer as a polynomial in standard form. (4x³+y³)²​

Answers

Answer:

16x⁶+y⁶

Step-by-step explanation:

(4x^3+y^3) (4x^3+y^3)

= 16x^6+y^6

hurry plssssssssssssss

Answers

Answer:

So the answer would be

D

Step-by-step explanation:

Use the formula an=a1rn−1 to identify the geometric sequence an=81⋅2n−13n−1

I think this is right but I'm not 100% sure

I'm like 75% sure sorry

2x+3y=5x−y
Complete the missing value in the solution to the equation
( ,0)

Answers

Answer:dsafdf

Step-by-step explanation's

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