Select the correct answer. What is this expression in simplified form? (√22)(5√2) A. 10√11 B. 12√11 c. 20√11 D. 24√11​

Answer:

(-7) (-10x - 3y = -18)

(10) (-7x - 8x = 11)

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

70x + 21y = 126

+ -70 - 80x = 110

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

-59x = 236

x = -4

Answer

[tex] \huge{ \boxed{ \text{(3 \:, - 4)}}}[/tex]

✑ [tex] \underline{ \underline{ \text{First ,\: let's \: know \: about \: elimination \: method}}}[/tex] :

☇ In this method , we add or subtract the given equations to eliminate one of the two variables by making their coefficients equal. Then , a single equation with one variable so obtained is solved to find the value of the variable. The value of the variable is substituted to any one equation to find the value of the eliminated variable.

☯ [tex] \underline{ \underline{ \text{Let's \: solve}}} : [/tex]

[tex] \underline{ \text{Original \: system}} : [/tex]

[tex] \text{ - 10x - 3y = - 18 - - - - Equation\: (i)}[/tex]

[tex] \text{ - 7x - 8y = 11 - - - - Equation \: (ii)}[/tex]

[tex] \text{Step \: 1} : [/tex] Take L.C.M ( Lowest Common Multiple ) of 10 and 7. For this , find the prime factors of each number. Then, take out the common prime factors and other remaining prime factors and multiply them.

L.C.M = Common factors × Remaining Factors

= 1 × 2 × 5 × 7

= 70

[tex] \text{Step \: 2} : [/tex] Multiply equation ( i ) by 7

[tex] \text{7( - 10x - 3y ) = - 18  * 7}[/tex]

⇢ [tex] \text{ - 70x - 21y = - 126 - - - - equation \: (iii)}[/tex]

[tex] \text{Step \: 3} : [/tex]Multiply equation ( ii ) by 10

[tex] \text{10( - 7x - 8y) = 11 \: * \: 10}[/tex]

⇢ [tex] \text{ - 70x - 80y = 110 - - - - equation \: (iv)}[/tex]

[tex] \text{Step \: 4} : [/tex] Subtract equation ( iv ) from equation ( iii ) :

Also Remember that while subtracting , sign of each term of the second equation changes. Here , we are eliminating x . So to make the coefficient of y same , equation ( i ) is multiplied by 7 and equation ( ii ) is multiplied by 10.⇩

[tex] \text{ - 70x - 21y = - 126}[/tex]

[tex]\text{+70x + 80y = - 110}[/tex]

___________________

[tex] \text{ \: \: \: \: \: \: 59y = - 236}[/tex]

Solve :

⇢ [tex] \text{59y/59 = - 236/59}[/tex]

⇢ [tex] \boxed{ \bold{ \text{y = - 4}}}[/tex]

[tex] \text{Step \: 5} : [/tex]

Substitute the value of y into equation ( iii ) , we get :

[tex] \text{ - 70x - 21y = - 126}[/tex]

➳ [tex] \text{ - 70x - 21( - 4) = - 126} [/tex]

➳ [tex] \text{ - 70x - ( - 84) = - 126} [/tex]

➳ [tex] \text{ - 70x + 84 = - 126}[/tex]

➳ [tex] \text{ - 70x = - 126 - 84}[/tex]

➳ [tex] \text{ - 70x = - 210}[/tex]

➳ [tex] \text{ - 70x/  - 70 = - 210/  - 70}[/tex]

➳ [tex] \boxed{ \bold{ \text{x = 3}}}[/tex]

[tex] \bold{ \underline{ \text{Hence ,\: x = 3 \: and \: y = - 4}}}[/tex]

Hope I helped!

♡ Have a wonderful day / night ツ

~ [tex] \sf{TheAnimeGirl} [/tex] ♪

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Answer:

them some fast growing apples

Step-by-step explanation:

realy

Answer:

90 minutes

Step-by-step explanation:

let x=amount of time it would take for Shelby to knit the scarf

[tex]\frac{15}{5} =\frac{x}{30}[/tex]

cross multiply

15*30=5x

450=5x

450/5=x

x=90

It would take Shelby 90 minutes to knit a scarf that is 30 inches long.

Answer:

I think the answers are...

B. 6 feet by 5 feet by 4 feet

C. 7 feet by 6 feet by 4 feet

D.  8 feet by 3 feet by 7 feet

(I'm so sorry if it's wrong)

Hope this Helps!

Answer:

Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options.

6 feet by 2 feet by 3 feet

6 feet by 5 feet by 4 feet

7 feet by 6 feet by 4 feet

8 feet by 3 feet by 7 feet

8 feet by 4 feet by 3 feet

Step-by-step explanation:

Answer:6:8

Step-by-step explanation:

Answer:

196.48m²

Step-by-step explanation:

AREA OF THE PICTURE = AREA OF TRIANGLE + AREA OF SEMI CIRCLE

Length of base of the triangle = 16m

Length of perpendicular height of triangle = 12m

Area of triangle = [tex]\frac{1}{2} *16*12 = 96m^{2}[/tex]

Length of diameter of semi-circle = 16m

Length of radius of semi-circle = [tex]\frac{16}{2} =8m[/tex]

Area of semi circle = [tex]\frac{\pi 8^{2}}{2} = \frac{64 * 3.14}{2} =\frac{200.96}{2} =100.48m^{2}[/tex]

AREA OF THE FIGURE = 100.48 + 96 = 196.48m²

Answer:

4/10 of a liter

Step-by-step explanation:

if 1/10 of a liter fills 1/4 of the aqauium then your ratio is .1:.25 out of 100 so

100/25=4

Answer:

$47.4

Step-by-step explanation:

prize = $39

sales tax = $7

total cost = x

tip = 20% of the tax

tip = 20% of 7

=$ 1.4

total cost = 39 +7+ 1.4

= $47.4

Answer:

$49.53

Explanation:

Convert  7 %  to a decimal.

Multiply  0.07  by  39 .

Repeat, but with 20%.

Add the tax and tip to the original price:

39 + 2.73 = 41.73

41.73 + 7.8 = $49.53

Answer:

-2/5

Step-by-step explanation:

-4/5  ÷ 2  

-4 /5 ×  1 /2

-4 × 1

5 × 2

-4 /10

-4 ÷ 2

10 ÷ 2  

–2 /5

Answer:

775=434×1+341

Step-by-step explanation:

this is the answer

Answer:

D 100% d

Step-by-step explanation:

Answer:

A and B

Step-by-step explanation:

The original equation simplifies down to -4m - 2

Answer A and B also simplify down to -4m -2, and therefor are equivalent

A: -2(4m + 1) + 4m

-8m - 2 + 4m

-4m - 2

B: 2(2m - 1) - 8m

4m - 2 - 8m

-4m - 2

Answer:

210 cm²

Step-by-step explanation:

The net of the right trapezoidal prism consists of 2 trapezoid base and four rectangles.

Surface area of the trapezoidal prism = 2(area of trapezoid base) + area of the 4 rectangles

✔️Area of the 2 trapezoid bases:

Area = 2(½(a + b)×h)

Where,

a = 7 cm

b = 11 cm

h = 3 cm

Plug in the values

Area = 2(½(7 + 11)×3)

= (18 × 3)

Area of the 2 trapezoid bases = 54 cm²

✔️Area of Rectangle 1:

Length = 6 cm

Width = 3 cm

Area = 6 × 3 = 18 cm²

✔️Area of Rectangle 2:

Length = 7 cm

Width = 6 cm

Area = 7 × 6 = 42 cm²

✔️Area of Rectangle 3:

Length = 6 cm

Width = 5 cm

Area = 6 × 5 = 30 cm²

✔️Area of Rectangle 4:

Length = 11 cm

Width = 6 cm

Area = 11 × 6 = 66 cm²

✅Surface area of the trapezoidal prism = 54 + 18 + 42 + 30 + 66 = 210 cm²

The expression is equivalent to 1/3(9x + 12) + 4x + 6 will be 7x + 10. Then the correct option is B.

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ 1/3(9x + 12) + 4x + 6

Simplify the expression, then we have

⇒ 1/3(9x + 12) + 4x + 6

⇒ 3x + 4 + 4x + 6

⇒ 7x + 10

The expression is equivalent to 1/3(9x + 12) + 4x + 6 will be 7x + 10. Then the correct option is B.

More about the equivalent link is given below.

https://brainly.com/question/889935

#SPJ2

Answer:

C.

Step-by-step explanation:

He can get 2 3/16 pounds of honey if he divides the honey into 2/5 - pound portions.

7/8 / 2/5= 7/8 x 5/2= 35/16= 2 3/16 pounds of honey into 2/5 pound portions

via. google

Hope this helps dude

Tom can get 2 and 3 over 16 ([tex]2\frac{3}{16}[/tex]) pounds of honey if he divides 7 over 8 ([tex]\frac{7}{8}[/tex]) pound of honey into 2 over 5 ([tex]\frac{2}{5}[/tex]) pound portions: Option C.

Given the following data:

To determine the statement which shows the quotient and gives the most likely explanation of what Tom was trying to calculate:

Translating the word sentence into an algebraic expression, we have;

7 over 8 divided by 2 over 5:

[tex]\frac{7}{8}\; \div \; \frac{2}{5}[/tex]

Applying the basic law of division for fractions, we have:

[tex]Quotient = \frac{7}{8}\; \times \; \frac{5}{2}\\\\Quotient =\frac{35}{16}[/tex]

Simplifying further, we have:

[tex]Quotient =\frac{35}{16} = 2\frac{3}{16}[/tex]

Therefore, Tom can get 2 and 3 over 16 ([tex]2\frac{3}{16}[/tex]) pounds of honey if he divides 7 over 8 ([tex]\frac{7}{8}[/tex]) pound of honey into 2 over 5 ([tex]\frac{2}{5}[/tex]) pound portions.

Read more on quotient here: https://brainly.com/question/3702921

Answer:

Step-by-step explanation:

just imagine you are on a number line and the numbers are

-5....-4.....-3.....-2....-1....0....1....2.....3

as you see the midpoint is -1

➨ Let (x+2) = a ➩ [tex]xa+1a[/tex]

Then we factor a-term out of the expression ➩ Common Factor ➩ [tex]a(x+1)[/tex]

Then convert from a back to x+2

Thus, our answer would be ➩ [tex](x+2)(x+1)[/tex]

Answer:

The question is incomplete...

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

bro ok this it ok okik

Answer:

5/6

5 out of 6

Step-by-step explanation:

Answer:

We conclude that the two ordered pairs (0, 0) and (-2, 2) are the solutions of the equation y = 2x² + 3x.

Step-by-step explanation:

Given the expression

y = 2x² + 3x

Substituting x = 0

y = 2(0)² + 3(0)

y = 0+0

y = 0

Thus, the ordered pair is: (0, 0)

Now, substituting x = -2

y = 2x² + 3x

y = 2(-2)² + 3(-2)

y = 8 - 6

y = 2

Thus, the ordered pair is: (-2, 2)

Therefore, we conclude that the two ordered pairs (0, 0) and (-2, 2) are the solutions of the equation y = 2x² + 3x.

Answer:

145

Step-by-step explanation:

4 is correct

reason is because the number next to x is the constant number and the end number is where you started

Answer:

Yes

Step-by-step explanation:

Lisa and Frank type at the same rate.

They both type 1 page every six minutes.

Lisa types 6 pages every 36 minutes, and if we divide the minutes by the pages, we get

[tex]\frac{36}{6} = 6[/tex]

And Frank types 5 pages ever 30 minutes, when we divide we get

[tex]\frac{30}{5} = 6[/tex]

Answer:

[tex]35\%[/tex] represents the sample proportion of the population

Step-by-step explanation:

From the question we are told that

   The sample size is  n  = 947

   The proportion of the population that believes that the Yankees will miss the playoffs this year is    [tex]k = 35\% = 0.35[/tex]

From the question we are told the confidence level is  97%

   The lower limit of the confidence level is a = 28%

    The upper limit of the  b = 42%

Generally the sample proportion of this population is mathematically represented as

         [tex]\^ p = \frac{a+ b}{2}[/tex]

=>      [tex]\^ p = \frac{28 + 42 }{2}[/tex]

=>      [tex]\^ p = 35\%[/tex]

Hence  [tex]35\%[/tex] represents the sample proportion

Answer:

-9.

The product of -9 and -8 is 72.

Step-by-step explanation:

Product means the answer of a multiplication, so we're given 72 and -8.

We can solve this by using inverse operations.

The inverse operation of multiplication is division, so we divide 72÷ -8

This will give us -9.

Solution :

Number of different samples of two technicians possible is = 10, as 2 technicians are to be chosen from a total of 5 technicians.

a). Therefore, 10 different samples are possible of size two.

b).

        Sample                    Shut down         Mean

1. Taylor, Hurley                 4, 3                    3.5

2. Taylor, Gupta                 4, 5                    4.5

3. Taylor, Rousche             4,6                      5

4. Taylor, Huang                4, 3                    3.5

5. Hurley, Gupta                 3,5                       4

6. Hurley, Rousche             3,6                      4.5

7. Hurley, Huang                 3,3                       3

8. Gupta, Rousche              5,6                       5.5

9. Gupta, Huang                  5,3                       4

10. Rousche, Huang            6,3                      4.5  

                                                                        42

Now mean of sample means  [tex]$=\frac{42}{10}$[/tex]    = 4.2

Mean of population is = [tex]$\frac{4+3+5+6+3}{5}$[/tex]    = 4.2

Thus both the means are equal.

Answer:

5/9

Step-by-step explanation:

5/9 is 0.5 recurring