Fill in the blank with a number to make the expression a perfect square.

Answer:

3 11/16 pounds

Step-by-step explanation:

Lynne bought a bag of grapefruit, 1 5/8 pounds of apples, and 2 3/16 pounds of bananas. The total weight of her purchases was 7 1/2 pounds. How much did the bag of grapefruit weigh?'

The Total weight = Weight of grape fruits + Weight of Apples + Weight of Bananas

Let the weight of the grape fruit = x

7 1/2 = x + 1 5/8 + 2 3/16

x = 7 1/2 - (1 5/8 + 2 3/16)

Lowest Common Denominator = 16

x= 7 1/2 - 3 + ( 10+ 3/16)

x = 7 1/2 - 3 + (13/16)

x = 7 1/2 - 3 13/16

Lowest Common Denominator = 16

x= 4 (8 - 13/16)

x = 4 (-5/16)

x = 3 11/16 pounds

Therefore, the bag of grapefruits weighed 3 11/16 pounds

Answer:

I agree with both of them

Step-by-step explanation:

A dozen is 12 muffins. Therefore, you pay $3.00 for 12 muffins.

We know that you pay $3.00 for 12 muffins we need to find out how much EACH muffin cost. For that we need to divide $3.00 by 12 which is 0.25.

Now we need to know how much it will cost us for 16 muffins. We use our equation 16*0.25 which is 4. Elena said she will pay 4 so she is right.

Andre said he will buy 8 muffins so we use our equation again 8*0.25 which is 2. He said he will pay 2 so he is right.

Answer:

(-4,6)

Step-by-step explanation:

I took the quiz

Answer:

Step-by-step explanation:

c=12.75n+12

c=15.75n

=4

Answer:

-12degrees Celsius

Step-by-step explanation:

-3+5=2 1:00pm

2-2=0 6:00pm

(10-6=4)

4(3)=12, 0-12=-12 10:00pm

i hope this helps!

Answer:

-12° C

Step-by-step explanation:

Temperature at 8 a.m.: -3° C

From 8 a.m. to 1 p.m. the temperature went up 5° C.

-3° C + 5° C = 2° C

Temperature at 1 p.m.: 2° C

By 6 p.m. the temperature was 2° C colder than at 1 p.m.

2° C - 2° C = 0° C

Temperature at 1 p.m.: 0° C

The temperature decreased 3° C per hour from 6 p.m. to 10 p.m.

From 6 p.m. to 10 p.m., it's 4 hours. The temperature decreased 3° C per hour for 4 hours. 4 * 3° C = 12° C. The temperature went down 12° C altogether from 6 p.m. to 10 p.m.

0° C - 12° C = -12° C

Temperature at 10 p.m.: -12° C

Answer: -12° C

Answer:

Step-by-step explanation:

A person who never dreams will never be able to reach anywhere. Thus, dreams stand to be the driving forces behind success. It keeps you moving ahead, without which you would have led a life of a corpse. Consequently, dreaming isn’t just enough! You ought to put your hard work, determination, dedication, too, in reaching the goal. These three elements are essential to help you achieve all that you have craved for! Hard work has no substitute, and there is no shortcut either! Besides, consistency plays a vital role in deciding your success. Distractions are sure to interrupt your path, but it is essential to understand that you must never get carried away by them. Therefore, only if you have a clear vision, you will be able to reach the destination. Last but not the least, it is important to understand that in order to achieve something, you need to have faith in yourself. Keep that belief upon yourself and only then will you be able to fetch success.

Answer:

x+x+2+x+4=318

3x+6=318

3x=312

x=104

The first number is 104.

Step-by-step explanation:

========================================================

Explanation:

n = some integer

2n = some even integer

2n+2 = next integer after 2n

2n+4 = next integer after 2n+2

The sequence {2n, 2n+2, 2n+4} represents three consecutive even integers. One follows right after another. A more concrete example of consecutive even integers could be something like {2,4,6} or {8,10,12}. The goal is to find which set like this has their numbers add to 318.

We could guess-and-check our way to the answer. In other words, use trial and error. However, a much more efficient way is to use algebra.

Let's add up the three number expressions of 2n, 2n+2, and 2n+4 to get

(2n)+(2n+2)+(2n+4) = (2n+2n+2n) + (2+4) = 6n+6

The three numbers add to 6n+6

This sum must be 318. Let's set 6n+6 equal to 318 and solve for n

6n+6 = 318

6n = 318-6

6n = 312

n = 312/6

n = 52

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

If n = 52, then,

Note the sequence 104, 106, 108 are all even numbers where they follow right after one another. This shows they are consecutive even numbers.

Furthermore, note how,

104+106+108 = 318

which confirms our answer

Answer:

hi

Step-by-step explanation:

Perdon si no te ayudo pero solo quiero los puntos para mis preguntas

Answer:

4

Step-by-step explanation:

Answer:

it four or less

Step-by-step explanation:

i did a lot of math for u guys and then i got it right so yall can get good grades

Answer:

2000

Step-by-step explanation:

50 * 40 = 2000

Answer:

the awnser is 2000 have a nice day

Answer:

I need the answer choices

Step-by-step explanation:

Answer:

60.6 on delta math

Step-by-step explanation:

The rate of the flow will be 1.12 x 10⁻⁴ cubic meters per meter.

The rate of the flow of the fluid is defined as the volume of the fluid through a confined space or cross-section in a unit of time. The unit of the rate of flow is gallons per minute or cubic meter per minute.

Given that water flows through a pipe at a rate of 89 quarts per hour the value of the rate of flow in cubic meters per month will be calculated as below:-

1 quartz = ( 1 / 1056.688) cubic meters

1 quartz = ( 89 / 1056.688)

1 quartz = 0.08 cubic meters

1  quartz per hour = 0.08 / ( 24 x 30) cubic meters per month

1  quartz per hour =1.12 x 10⁻⁴ cubic meters per month

Therefore, the rate of the flow will be 1.12 x 10⁻⁴ cubic meters per meter.

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Answer: -12x-21y

Step-by-step explanation:

-3(4x+7y)    

-3(4x)-3(7y)   <--- Distribute by mulitplying each varibalbe by "-3"

-12x-21y

Answer:

About 69cm²

Explanation:

A = d

A = 3.14(22)

A = 69.08

Answer:

48

Step-by-step explanation:

1/6*48=8

Answer: i think 48 times are in 8

because if you times 1/6 to 48=8

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 real roots and 2 complex

Following are the solution to the given polynomial equation:

Given:

Polynomial equation: [tex]\bold{n(x) = 3x^4 - 9x^3 + x^2 -3x}[/tex]

Factor: [tex]\bold{(x -3)}[/tex]

To find:

A number of roots for the polynomial n(x).

Solution:

Polynomial equation: [tex]\bold{n(x) = 3x^4 - 9x^3 + x^2 -3x}[/tex]

[tex]\to \bold{(x -3)=0}\\\\\to \bold{x =3}\\\\[/tex]

Putting the of x into the given Polynomial function:

[tex]\to \bold{n(3) = 3(3)^4 - 9(3)^3 + (3)^2 -3(3)}\\\\\to \bold{n(3) = 3\times 81 - 9\times 27 + 9 -3 \times 3}\\\\\to \bold{n(3) = 243- 243 + 9 -9}\\\\\to \bold{n(3) = 0}\\\\[/tex]

Let divide the Polynomial function by the factor:

[tex]\to \bold{\frac{3x^4 - 9x^3 + x^2 - 3x}{x-3}}\\\\\to \bold{\frac{ x(3x^3 - 9x^2 + x - 3)}{x-3}}\\\\\to \bold{\frac{ x(3x^2(x - 3)+1(x - 3))}{x-3}}\\\\\to \bold{\frac{ x(x - 3) (3x^2+1)}{x-3}}\\\\\to \bold{x(3x^2+1)}\\\\[/tex]

So, the factors are [tex]\bold{x, (x-3),\ and \ (3x^2+1)}[/tex].

Calculation of the roots:

[tex]\bold{x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ x-3=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3x^2+1 =0}\\\\\bold{x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ x=3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3x^2 = -1}\\\\\bold{x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ x=3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x^2 = -\frac{1}{3}}\\\\\bold{x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ x=3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x^2 = (- \sqrt{\frac{1}{3}})^2}\\\\[/tex]

Therefore the final answer is "Option A".

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Answer:

Solving your equation gives you $2.00.

2/40 = 0.05 = 5%

Step-by-step explanation:

happy to help ya :)

Answer:

So they charged $2 for every 40 dollars, so simplify. 2/40 divided by 2 = 1/20 is the unit rate

Step-by-step explanation:

Answer:

Dell made $16.38

Step-by-step explanation:

Answer: List all of the solutions.

19

=

7

=

130

=

explanation:

Answer:

5. Slope: 2

Y-intercept: 3

6. Slope: 1/2

Y-intercept:  5

Step-by-step explanation:

Answer:0.061462815

Step-by-step explanation:

Answer:

0.0614628149969269

Step-by-step explanation:

Answer:

A __function__ is a relation that assigns exactly one output value to one input value.

Step-by-step explanation:

Answer:

A function is a relation that assigns exactly one output value to one input value.        

Answer:

The answer is 18. Coz 2*9= 18

Answer:

18

Step-by-step explanation:

its the second multiple of 9, and an even number, since 9 x 2 = 18 !!

hope this helped !!

Answer: for A you would go down three than go right three times.

For B. you would go up 2 and go left 7 times

Step-by-step explanation:

I’m not good in math but that’s what my teacher told me

Step-by-step explanation:

19 is the answer I'd don't know why it's so hard

Answer:

-7 + 5 = -2

Step-by-step explanation:

I used calculator

Answer:

P(0, -1)

Q(3, -2)

R(2, 7)

Step-by-step explanation:

9 units right : +9 to each x-coordinate

11 units up: +11 to each y-coordinate

P(-9+9, -12+11) = P(0, -1)

Q(-6+9, -13+11) = Q(3, -2)

R(-7+9, -4+11) = R(2, 7)

Answer:

The answer is C.

Have a good day!

Answer:

65 degrees

Step-by-step explanation:

The question is not complete but we can assume that m<4 and m<8 are complementary i.e they both act at right angle.

If the both act at right angle, then m<4 + m<8 = 90

Given

m<4 = 25°

Substitute into the formula

m<4 + m<8 = 90

m<8 = 90 - m<4

m<8 = 90 - 25

m< 8 = 65 degrees

Hence the measure of m<8 is 65 degrees

Note that we assumed that both angles acts at right angles