What is the value of the underlined digit? 526

Final answer:

Sasha has read approximately 64.66% of the novel by dividing the number of pages she read (276) by the total number of pages (427), and then multiplying the result by 100.

Explanation:

To find out what percentage of the novel Sasha has read, we need to use the formula for percentage:
Percentage = (Part / Whole) × 100

Sasha has read 276 pages of a 427-page novel. So, in this case, the part is 276, and the whole is 427.

Now we calculate:

Let's do the math:

Therefore, Sasha has read about 64.66% of the novel.

Answer:

The approximate distance between the points is 38.2

Step-by-step explanation:

The distance between these two points is a diagonal line. In order to solve this problem, you need to plot your points and form a right triangle.  The overall distance from one point to another on the x-axis is 26 (12-(-14)), and the overall distance from one point to another on the y-axis is 28 (20-(-8)).  These two distances will form a right angle at (-14,-8).  The distances on the x and y axis are the 'legs' of the triangle and the distance between the given points in the problem represents the hypotenuse.  Using the pythagorean theorem (a^2 +b^2 = c^2), we can substitute in our values of 'a' and 'b' to get 28^2 + 26^2 = c^2, or 784 + 676= 1460, therefor the square root of 1460 is approximately 38.2.

So to find the distance between these two points, we are going to be plugging them into the Distance Formula and solving as such:

[tex]D=\sqrt{(12-(-14))^2+(-8-20)^2}\\D=\sqrt{(26)^2+(-28)^2}\\D=\sqrt{676+784}\\D=\sqrt{1460}[/tex]

Now, with this radical we can simplify it using the product rule of radicals (√ab = √a × √b) as such:

[tex]\sqrt{1460}=\sqrt{10*146}=\sqrt{5*2*2*73}=2*\sqrt{73*5}=2\sqrt{365}[/tex]

In short:

[tex]Use\\\\a^2-b^2=(a-b)(a+b)\\\\i=\sqrt{-1}\to i^2=-1\\------------------------\\\\x^2+25=x^2+5^2=x^2-(-5^2)=x^2-(5i)^2\\\\\boxed{x^2+25=(x-5i)(x+5i)}[/tex]

When multiplying terms with exponents, just add the exponents together.

You have x^7 and x^4, so 7 +4 = 11

Y^2 and Y^5 = 2+5 = 7

so it would be -20x^11 y^7

The answer is A.) a=11, b=7

Answer:

The solution is the point (6,-8)

Step-by-step explanation:

we have that

The first equation is [tex]y=(1/3)x-10[/tex] instead [tex]y=x-10[/tex]

[tex]y=(1/3)x-10[/tex] -----> equation A

[tex]2x+y=4[/tex] -----> equation B

Solve the system of equations by substitution

Substitute equation A in equation B and solve for x

[tex]2x+[(1/3)x-10]=4[/tex]

[tex](7/3)x=14[/tex]

[tex]x=6[/tex]

Find the value of y

[tex]y=(1/3)(6)-10=-8[/tex]

therefore

The solution is the point (6,-8)

[tex]\mathsf{\heartsuit\;\; (\sqrt{8})^2 = \sqrt{64}}\\\\\mathsf{\heartsuit\;\; [(8)^\frac{1}{2}]^2 = \sqrt{(8)^2}}\\\\\mathsf{\heartsuit\;\; (8)^\frac{2}{2} = [(8)^2]^\frac{1}{2}}\\\\\mathsf{\heartsuit\;\; 8 = [8]^\frac{2}{2}}\\\\\mathsf{\heartsuit\;\; 8 = 8}\\\\\mathsf{\heartsuit\;\; Option\;(A)\;is\;the\;Answer}[/tex]

The number which will make the equation true, when placed in the box is: A. √8.

In order to determine the unknown number, we would assign a variable (x) to the unknown number and then evaluate the resulting algebraic equation as follows:

x² = √64

x² = 8

Taking the square root of both sides, we have:

x = √8.

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Answer:

The tree is 20 ft tall.

Step-by-step explanation:

We can use ratio's to solve this problem.   Take the height of the object over the shadow length.

5 ft                  x ft

----------- = ----------------

3ft                  12 ft

Using cross products

5*12 = 3*x

60 = 3x

Divide by 3 on each side

60/3 = 3x/3

20 =x

The tree is 20 ft tall.

Answer:

distributive property

Step-by-step explanation:

Distributive property says that x(y + z) = (x*y) + (x *z)

The property used in the given expression is

Distributive property of multiplication over addition.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The distributive property of multiplication over addition states that,

a(b + c) = a x b + a x c

Now,

3(4 + 5) = (3 x 4) + (3 x 5)

This is the Distributive property of multiplication over addition.

Thus,

The property of distributive multiplication over addition is used.

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The value of 'a' when (a, -8) is a solution to the equation -a = 4b - 7 is '39'.

If we have the point (a, -8) as a solution to the equation -a = 4b - 7, and we're given the value of b from the point, which is -8, we can substitute this value into the equation to find 'a'.

Substituting b = -8 into the equation gives us:

-a = 4(-8) - 7

-a = -32 - 7

-a = -39

Now, we can solve for 'a' by multiplying both sides by -1 to get:

a = 39

Therefore, the value of 'a' is 39.

Answer:

1526.0 cubic units

Step-by-step explanation:

Rotating rectangle AKLM you will get cylinder with height KA and base radius KL.  From the given data

[tex]KA=\sqrt{(6-0)^2+(0-0)^2}=6,\\ \\KL=\sqrt{(0-0)^2+(9-0)^2}=9.[/tex]

The volume of the cylinder is

[tex]V_{cylinder}=\pi r^2\cdot H.[/tex]

Then

[tex]V_{cylinder}=\pi \cdot 9^2\cdot 6=486\pi \approx 1526.0\ un^3.[/tex]

Answer:

21

Step-by-step explanation:

Answer: The mirror will fit because the height of the mirror is 4 feet.

Step-by-step explanation:

we just divide 15 by 3 3/4 and get the answer of 4.

Yes, the mirror will fit on the wall because its height is approximately 4.25 feet, which is less than the 5-foot tall space on the wall.

To determine whether the mirror will fit, we need to calculate its height. Since the area of a rectangle is given by the formula Area = Height × Width, we can find the height by rearranging the formula to Height = Area ÷ Width.

The given area of the mirror is 15 15/16 square feet and the given width is 3 3/4 feet.

After performing the division, we get the height of the mirror to be approximately 4.25 feet.

Since the space on the wall is 5 foot tall and the height of the mirror is less than this, the mirror will fit on the wall. So, the answer is: Yes, it will fit because the height is 4.25 feet.

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To find the expression for the cost of low-energy lamps and high-energy lamps, use the expressions 4A and 5B respectively. To find the values of A and B that make the total cost equal $120, solve the equation 4A + 5B = 120.

To write an expression for how much the electrician spends on low-energy lamps and high-energy lamps, we can use the following expressions:

Cost of low-energy lamps: 4A

Cost of high-energy lamps: 5B

To complete the table, we need to calculate the values of A and B such that the total cost equals $120. Since all of the $120 is spent, the expression for the total cost would be:

Total cost: 4A + 5B = 120

We can solve this equation to find the values of A and B.

Answer:

B

Step-by-step explanation:

All sides have to be equal and add up to be 180 degrees therefore the answer would be 60 because 60 plus 60 plus 60 is 180.

Answer:

B

B is the only answer that adds to 180, the interior angle measures of a triangle.

Expanding, you get 6(3c) - 6(5d) + 6(6) = 18c - 30d +36

Answer:

18c - 30d +36

Step-by-step explanation:

6(3c - 5d +6)

When we use the distributive property, we distribute the 6 to all the terms inside the parentheses

6*3c - 6*5d +6*6

18c - 30d +36

[tex]7-\dfrac{1}{5}x>0\qquad\text{subtract 7 from both sides}\\\\-\dfrac{1}{5}x>-7\qquad\text{change the signs}\\\\\dfrac{1}{5}x<7\qquad\text{multiply both sides by 5}\\\\\boxed{x<35}[/tex]

Answer:

x = 19

Step-by-step explanation:

3x - 3 = 6(x - 10)

3x - 3 = 6x - 60

    +3         +3

3x = 6x - 57

     - 6x

- 3x = -57

= 19

Answer:

Step-by-step explanation:

[tex](3x-3)^{0} =\left[6(x-10)] ^{0}\\[/tex] (opposite angle)

[tex]3x-3=6(x-10)\\ 3x-3=6x-60\\ 60-3=6x-3x\\ 57=3x\\ \frac{57}{3} =x\\ 19=x[/tex]

Answer:

The answer would be c)85 FEET

Step-by-step explanation:You start with the deepest section(-135) and add the shallowest point(50). the result is an 85 foot difference.

Answer:  c 85ft

Step-by-step explanation:

If x and y are proportional, then y : a = constant.

[tex]\dfrac{y}{x}=a\to y=ax[/tex] ← the equation

We have y = 19x - 5. It's not a proportional.

Answer:

The value of x is 68 degrees!

Step-by-step explanation:

In this question, we have an isosceles triangle because of Base Angles Theorem. The 2 sides are congruent, which means its an isosceles and that the Base angles are congruent. So far, we know that 2 angles are equal to 112 degrees. Due to Sum Angles Theorem, we can go 180-112 to get 68 degrees!

Answer:

x=68

Step-by-step explanation:

Since this is an isosceles triangle, the bottom two angles are the same value, 56 degrees.  The three angles of a triangle add to 180 degrees.

56+56+ x = 180

Combine like terms

112 +x = 180

Subtract 112 from each side

112-122 +x = 180 -112

x =68

To find the number of seconds in m minutes, you can multiply m by 60. The numerical expression is 60m and the variable expression is 'm * 60.'

To write a numerical or variable expression for the quantity 'the number of seconds in m minutes,' we need to know the conversion rate between minutes and seconds. There are 60 seconds in 1 minute. So, to find the number of seconds in m minutes, we can multiply m by 60.

The numerical expression would be 60m.

The variable expression would be 'm * 60.'

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Answer:

y = 5/18

Step-by-step explanation:

50/90-y=5/18

Lets simplify our fractions

50/90 = 5/9  (divide top and bottom by 10)

5/9 - y = 5/18

Subtract 5/9 from each side

5/9 -5/9 -y = 5/18 - 5/9

-y = 5/18 - 5/9

We need to get a common denominator of 18

-y = 5/18 - 5/9 *2/2

-y = 5/18 -10/18

-y = -5/18

Multiply each side by -1

-1*-y = -5/18 * -1

y = 5/18

Answer:

there's 33 rabbits and 4 hutches

Step-by-step explanation:

8 x 4 = 32 plus the one left over

11 x 3 = 33 with and extra hutch

Answer:

33 rabbits and four hutches

Step-by-step explanation:

;)brainliest?

Answer:

400 originally, and 50 dollars a week from there!!

Step-by-step explanation:

Since the 50 is followed by the variable "w", and the w stands for week, we can believe that Jenny makes 50 dollars a week.

Because the 400 was in the her account to begin with, we know this is the amount she originally had!

Answer:

x = 75

y = 105

Step-by-step explanation:

Remark

You can find y in two different ways.

One

You can recall that y is the sum of the 2 interior angles not connected to it. Those angles are called the remote interior angles. Or

Two

You can add the three angles to 180 and solve for x. Then since x and y are supplementary, you can find y.

Solution

One

y = 60 + 45

y = 105                       Answer

Two

x + 60 + 45 = 180      All triangles have 180 degrees. Solve for x.

x + 105 = 180             Subtract 105 from both sides

x = 180 - 105              Combine

x = 75                         Find an equation that relates x and y

x + y = 180                 x and y are supplementary they add to 180

75 + y = 180               Subtract 75 from both sides.

y = 180 - 75                Combine

y = 105

Answer:

I think I might be terribly wrong but 160,728 ft

Step-by-step explanation:

Answer:

503

Step-by-step explanation:

To find the area of a cirlce it is pi x 2 x the radius squared.

Since,this is a semi-circle you dived by 2 afterwards.

So [tex]\pi x 160 x 2 /2[/tex] is 502.857142857

Round that to the nearest one that is 503 ft squared.

Answer:

the answer is the last one

Step-by-step explanation:

i drew all the example and i would say that the last one came out having a proportional relationship.

tell me if i got it right!

Answer:

(3, -1)  PLEASE GIVE BRAINLIEST

Step-by-step explanation: