Estimate the following using general rule.
730+998
796-314
7,720 × 626
6,498 ÷ 52

Answer:

It would be a simple sentence, since it is a single clause by itself.

Note that this is something for the Language Arts section, please post your questions of that topic in that section, not in the Math section.

[tex]12 {x}^{2} + 8x + 1[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex](4 {x}^{2} + 6x + 7) - ( - 8 {x}^{2} - 2x + 6) \\ = 4 {x}^{2} + 6x + 7 + 8 {x}^{2} + 2x - 6 \\ = 4 {x}^{2} + 8 {x}^{2} + 6x + 2x + 7 - 6 \\ = 12 {x}^{2} + 8x + 1[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

I'll do the first two to get you started

See the diagram below for the filled out answers.

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

Problem 1

You are correct in saying that 10 goes in the first box. This is from 2*5 = 10 when you apply the distributive property a*(b+c) = a*b+a*c.

For the next box, you'll have x go inside it. This is because we subtract 2x from both sides and then note how 3x-2x becomes x. This x is found on the right side of the third line.

For the last box, we have 9 go inside it. This is from subtracting 1 from both sides, so 10-1 becomes 9.

Answers:

in that order

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

Problem 2

We add 2y to both sides so that 3y becomes 5y. Ie, 2y+3y = 5y

As a way to check the answer, note how 5y is on the left side of line 2.

Then we'll add 4 to both sides. So 6 updates to 6+4 = 10 on the right side. We type 10 in the second box.

The last step is to divide both sides by 2. The equation 5y = 10 solves to y = 2

Answers:

in that order

See the diagram below for the filled out answers.

Answer:

5√3

Step-by-step explanation:

Thanks to the given information we can say that the smallest leg is 5 because the triangle is half of an equaliteral one.

for the same reason we can say that x is 5√3 that is the simplest from of the result of the Pytaghorean theorem

Answer:

D. X=-3, y=4

Step-by-step explanation:

-2x+3y=18 equation 1

x=-y+1 equation 2

-2(-y+1)+3y=18 replace x value of equation 2 into equation 1

2y-2+3y=18

5y=20

y=4

solve for x by replacing y value into either equation.

x=-y+1

x=-4+1

x=-3

Answer:

343.75 miles

Step-by-step explanation:

2.75 * 125 = 343.75

Answer:

X= - 3

Step-by-step explanation:

Multiply both sides by 2 to remove the division on the LHS

3X - 15=8X

Move 3X to the RHS

-15 =8X - 3X

-15= 5X

Divide both sides by 5

-3 =X

[tex]\boxed{c.\:x\:=\:-3}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{3x - 15}{2} = 4x \\ ⇢ 3x - 15 = 4x \times 2 \\ ⇢ 3x - 15 = 8x \\ ⇢ 3x - 8x = 15 \\ ⇢  - 5x = 15 \\ ⇢ x = \frac{15}{ - 5} \\ ⇢ x = - 3[/tex]

[tex]{ \bf{ \underbrace{To\:verify :}}}[/tex]

[tex] \frac{3x - 15}{2} = 4x \\ ⇢  \frac{3 \times (- 3) - 15 }{2} = 4 \times - 3 \\ ⇢  \frac{ - 9 - 15}{2} = - 12 \\ ⇢  \frac{ - 24}{2} = - 12 \\ ⇢  - 12 = - 12 \\ ⇢ L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

244 cm³

Step-by-step explanation:

Step 1: Given data

Height of the prism with a pentagonal base (h): 8 cm

Area of the pentagonal base (A): 30.5 cm²

Step 2: Calculate the volume of the prism with a pentagonal base

We have a regular pentagonal prism, that is, the 5 sides of the base are equal and we know the area of the base and the height of the prism. We can calculate its volume using the following expression.

V = A × h

V = 30.5 cm² × 8 cm = 244 cm³

Answer:

x = 77, y = 42

Step-by-step explanation:

y + 31 = 73 via parallel, y = 42

x + y + 61 = 180 via triangle angle sum, x = 77

Answer:

y=42

x=77

Step-by-step explanation:

Answer:

x hope this helped you a lot

Answer:

- 11/12

Step-by-step explanation:

5/8 + 3/4

_______ x 24/24

-2/3 - 5/6

15+18

= ______

-16-20

33

= _____

-36

= - 11/12

Answer:

377

Step-by-step explanation:

f(x) = 3* 2^(x+2) -7

Let x=5

f(x) = 3* 2^(5+2) -7

Parentheses first

f(x) = 3* 2^(7) -7

Then exponents

f(x) = 3* 128 -7

Then multiply

f(x) = 384 -7

Then subtract

f(x) = 377

Answer:

377

Step-by-step explanation:

3×2^x+2 -7

plug in 5 for x

3×2^5+2 -7

3×2^7 -7

377

Answer:

By easing the ranking and colerration of the data

Answer: a table is an organized way of displaying data

all data in a table has the same format

you can see how output of a data set changes by looking at a column

you can compare outputs of different functions that have the same input by looking at rows

Step-by-step explanation: edge 2022

Answer: 64r^36

Step-by-step explanation:

On picture below

This question is incomplete

Complete Question

Hal says the volume of the sphere shown below is 36 cm³.Find the correct volume, using 3.14 for π. Round to the nearest hundredth. What was Hal's likely error? Use the drop-down menus to explain your answer.

Radius of the sphere = 3 cm

Answer:

a) The volume of the sphere = 113cm³

b) Hal's likely error was :

He used the wrong formula and did not make use of π = 3.14 in his calculation.

Step-by-step explanation:

a) The Volume of a Sphere = 4/3πr³

The radius of the sphere = 3cm

π = 3.14

The volume of the sphere = 4/3 × 3.14 × 3³

= 113.04 cm³

Approximately to the nearest hundredth = 113cm³.

b) Hal's likely error comes in two forms:

1) He used the wrong formula which is Surface area of the sphere(4πr²) in his calculation instead of the right formula which was the Volume of a Sphere(4/3πr³)

ii) Also he did not use π in his calculation.

This means Hal's calculation=

Surface Area of a Sphere = 4πr²

But Hal's used = 4r²

Where r = 3cm = 4 × (3cm)²= 36 cm³

This is wrong.

Answer is 2:3.

~Refer to the attachment for the solution.

Answer:

The number of laps Tonya swam last week were:

Step-by-step explanation:

To understand the ratio, you must know that 3:10 means that each time Tonya swam 3 laps, Randy swam 10 laps, by this reason, to identify the total number of laps you can divide the total difference given in the exercise (84 laps) into the difference indicated by the ratio (10 - 3 = 7 laps):

This number obtained is the number of times the ratio had to be met so that the difference in laps swam was 84. Now, you must multiply the obtained value (12) by the number of laps from Tonya given in the ratio (3):

As you can see, with the calculates, we obtained  36 laps in total. You could also do the iterations 12 times, subtracting the number of turns given by Tonya from the number of turns made by Randy and you would get the same result:

Answer:

1/2 x 2/3 = 0 . 3

1 1/2 x3/4 = 1. 125

4/4 x 7/6 = 1 . 27  

3 divided by 1/2 = 6

2/3 divided by 1/2 = 1. 3

Step-by-step explanation:

1/2 x 2/3

= 0.33333333333

= 0 .3

1 1/2 x3/4

= 1.125

4/4 x 7/6

= 1.16666666667

= 1.27

3 divided by 1/2

= 6

2/3 divided by 1 / 2

= 1.33333333333

= 1. 3

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

1. 5/6

2. 5/8

3. 29/44

4. 3/8

5. 2/15

6. 0.3

7. 1.125

8. 1.27

9. 6

10. 1.3

11. 345,000

12. 128,000

13. 42

14. 40

15. $365.47 and $365

16. $125.66 and $126.

Step-by-step explanation:

Answer:

MN=2.5cm

Step-by-step explanation:

4/2=6/3=8/4=k=2

MN=5/2=2.5cm

Answer:

0.4 batches

Step-by-step explanation:

6 / 13 = 0.4

Answer:

X IS A WORD TE-PAHADI

Step-by-step explanation:

Answer:

proportion: 6/8 = 3/x

x = 4

Step-by-step explanation:

6/8 = 3/x

6/2 = 3

8/2 = x

8/2 = 4

x = 4

Answer:

A) 13.4 feet

Step-by-step explanation:

You need to use the Pythagorean theorem:

L = [tex]\sqrt{6^2+12^2}[/tex] = 13,4 feet

Answer:

no

Step-by-step explanation:

Answer:

No

Step-by-step explanation: