The rectangle below has an area of x^2 - 7x + 10 square meters and a width of x - 5 meters.
What expression represents the length of the rectangle?

Answer:

2

Step-by-step explanation:

Turn 3 2/3 into improper fraction: 11/3

11/3-5/3=6/3=2

Answer:

4x + 32x²

Step-by-step explanation:

4x(1 + 8x) ← multiply each term in the parenthesis by 4x

= 4x + 32x²

Answer: a2 + b2 = 202

Step-by-step explanation: Since they are consecutive odd integers, then we can just divide 202 by 2, square root it, then round to the nearest two odd integers. In this case, 202 / 2 = 101 ⇒ 1010.5 ≈ 10.04. The two nearest odd integers are 9 and 11. We can verify that this is the pair: 92 + 112 = 81 + 121 = 202.

Answer:

[tex]\left \{ {x-y=-2\atop {x^2+y^2=202[/tex]  ⇔  [tex]\left \{ {{y=11} \atop {x=9}} \right.[/tex]

Step-by-step explanation:

Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.

Answer:

First bag unit price: 2.85

Second bag unit price : 3.40

first bag is better.

Step-by-step explanation:

divide the weight by cost

The value of 3x + 4y² when x = 5 and y = 3 is 51.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression is,

3x + 4y²

We have to find the value of the expression when the value of x = 5 and that of y = 3.

For that, substitute x = 5 and y = 3 in place of x and y.

3x + 4y² = (3 × 5) + (4 × 3²)

             = 15 + (4 × 9)

             = 15 + 36

             = 51

Hence the value of the expression is 51.

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Answer:

51

Step-by-step explanation:

Answer:

4x

Step-by-step explanation:

Simply add 4 and x, and that is 4x.

The future value of the mutual  fund after 15 years is equal to $1,256.55.

Given the following data:

To find the future value of the mutual  fund after 15 years:

Mathematically, compound interest is given by the formula:

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

Where;

Substituting the given parameters into the formula, we have;

[tex]A = 750(1 + 0.035)^{15}\\\\A = 750(1.035)^{15}\\\\A = 750(1.6754)[/tex]

Future value, A = $1,256.55

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Answer:

Step-by-step explanation:

Given:

Find the total amount:

Answer:

950 g = 0.95 kg

35 mL = 0.35 dL

hope this helps

Answer:

35 mL = 0.35 dL

950 g = 0.95 kg

Step-by-step explanation:

This is the answer because:

1) For mL to dL, divide the volume value by 100: 35/100 = 0.35

2) For g to kg, divide the mass value by 1000: 950/1000 = 0.95

Hope this helps!

Answer: Show the options

Step-by-step explanation:

Answer:

put a point on (0,8) and (4,3)

Step-by-step explanation:

it is a bit unclear to me how the cups are stacked on each other.

are we building a pyramid or is it really just one line of cups stacked into each other ? the equation suggests the latter. so, I will continue with that assumption.

then each additional cup really adds only the height of the rim to the total height of the cup tower.

so, we want to find out for what smallest x is the equation delivering as y value 32,400 or more.

32,400 = 2.4x + 13.6

let's get rid of the decimals by multiplying everything by 10.

324,000 = 24x + 136

323,864 = 24x

x = 323,864/24 = 13,494.33333...

so, we need 13,495 cups to reach its height (just rounding it to 13,494 would still leave a tiny gap, so we need the 13,495th cup - there is no way to reach the height exactly).

Answer:

the answer is -7w

Step-by-step explanation:

-2w - 5w = -7

Answer:

15,173.22

Step-by-step explanation:

Looks like there's a typo in the question.

Should it be:

10,800 for 3 years at 12% per annum compounded annually.​

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

a = 10800 * (1.12)^3

a = 15,173.22

Answer:

ABC = 113°

Step-by-step explanation:

If ABD is 70° and DBC is 43°

ABC is 70°+43° = 113°

Step-by-step explanation:

#1

Volume of aquarium:

#2

Volume of cylinder:

Answer:

16 sq mm

Step-by-step explanation:

hope this helps

Answer:

Converse

Step-by-step explanation:

Converse

Ghhhhhhhnbb tggy

Answer:

#1

Slope: 1/2

Y Intercept: -3

#2

Slope: -3

Y Intercept: 2

Answer:

no solution.

Step-by-step explanation:

3x+7=14+3x

3x-3x=14-7

      0=7

0 is not equal to 7, hence making this equation to have no solution.

Answer: no solution

Step-by-step explanation:

Answer:

B. 40

Step-by-step explanation:

We can make this an equation since the entire thing equals 360

3x+110+90+40=360

3x=120

x=40

Answer is B

Brainliest please :)

[tex]\\ \sf\longmapsto 3x-5=70[/tex]

[tex]\\ \sf\longmapsto 3x=70+5[/tex]

[tex]\\ \sf\longmapsto 3x=75[/tex]

[tex]\\ \sf\longmapsto x=75/5[/tex]

[tex]\\ \sf\longmapsto x=15[/tex]

Answer:

0.4

Step-by-step explanation:

it's between 0.3 and 0.5 and the number in tenth is 4 so the answer is 0.4

Answer:

60

Step-by-step explanation:

9*12=108

6*8=48

108-48=60

Answer:

x-12

Step-by-step explanation:

let us say that the other number is n. then we have n+12=x or n=12-x

Answer:

Polly has to pay $0.24 per yard of fabric.

Step-by-step explanation:

You simply have to divide the 6.8 yards by the $28.90 cost. The result is $0.235294118 dollars per yard, but since you can't have only half a cent, we will round it to the nearest hundredths and get $0.24 dollars.

Step-by-step explanation:

28m+4n-12m+3

28m-12m+4n+3

16m+4n+3

The type of energy transfer that Leana is seeing as a result of steam rising is radiation.

Radiation is:

The steam rising from the tea is energy and it shows energy moving from the tea to the air. There is space between the tea and the air which means that it is radiation that the energy transfer is using as a conduit.

In conclusion, this statement describes radiation.

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