HELP PLEASE ASAP


Solve for x in the diagram below

Grace read 4/7 of the book at night.

To solve this problem, we need to use the fractions to calculate the amount of the book that Grace read in the morning and the amount of the book that she read at night.

The total amount of the book that Grace read in the day is 1/3 + 2/5 = 7/15.

Since she read 1/3 of the book in the morning, then the amount of the book that she read at night is 7/15 - 1/3 = 4/15.

To calculate the amount of the book that she read at night as a fraction of the total book, we need to divide 4/15 by 7/15.

4/15 ÷ 7/15 = 4/7

Therefore, Grace read 4/7 of the book at night.

Learn more about fraction here:

https://brainly.com/question/24638688

#SPJ4

The solution of the system of equations is the values of x and y that make both equations true at the same time. Therefore, the solution of the system of equations is (4, -12) and (-1, 2).

To find the solution, we can set the two equations equal to each other since they both equal y:
x2 - 5x - 8 = -2x - 4
Simplifying, we get:
x2 - 3x - 4 = 0
We can factor this quadratic equation to get:
(x - 4)(x + 1) = 0
This gives us two possible values for x: x = 4 or x = -1. To find the corresponding values of y, we can substitute each value of x back into one of the original equations:
If x = 4:
y = (4)2 - 5(4) - 8 = -12
So one solution is (4, -12).
If x = -1:
y = -2(-1) - 4 = 2
So the other solution is (-1, 2).

To find the solution of the system, we'll need to determine the point(s) where the two equations intersect. Here are the steps to solve the system:
1. Since both equations are equal to y, set them equal to each other:
x^2 - 5x - 8 = -2x - 4
2. Move all terms to one side of the equation to get a quadratic equation:
x^2 - 5x + 2x - 8 + 4 = 0
3. Simplify the equation:
x^2 - 3x - 4 = 0
4. Factor the quadratic equation:
(x - 4)(x + 1) = 0
5. Solve for x:
x - 4 = 0  =>  x = 4
x + 1 = 0  =>  x = -1
6. Substitute the x values back into either original equation to find the corresponding y values. We'll use the second equation, y = -2x - 4:
For x = 4: y = -2(4) - 4 = -8 - 4 = -12
For x = -1: y = -2(-1) - 4 = 2 - 4 = -2
7. Combine the x and y values to get the solutions:
(4, -12) and (-1, -2)
So, the solution of the system of equations is (4, -12) and (-1, -2).

Learn more about system of equations here: brainly.com/question/21620502

#SPJ11

Required standard form is 0.000009054.

What is value of 9.054 x 10^-6 in standard form ?

Some examples of standard form of Mathematics,

Example -1:

\(0.5 \times {10}^{2} \\ = 0.5 \times 100 \\ = 50\)

Example-2 :

\(0.254 \times {10}^{ - 2} \\ = \frac{0.254}{ {10}^{2} } \\ = \frac{0.254}{100} \\ = 0.00254\)

Example-3 :

\(3.3548 \times {2}^{2} \\ = 3.3548 \times 2 \times 2 \\ = 13.4192\)

Example -4 :

\(5.55 \times {3}^{2} \\ = 5.55 \times 3 \times 3 \\ = 48.95\)

So,we can say that standard form means simplest form.

Here given,

\(9.054 \times {10}^{ - 6} \\ = 9.054 \times \frac{1}{ {10}^{6} } \\ = \frac{9.054}{1000000} \\ = 0.000009054\)

Standard form related two more questions:

https://brainly.com/question/17264364

#SPJ2

Answer:

6ft

Step-by-step explanation:

This requires a little use of the Pythagorean Theorem.

The length of the leaning ladder is the hypothenuse of the right triangle formed by the wall and the ladder.

Hyp. = 10 ft Say this is C

The ladder height up the wall = 8 ft. Say this A.

We need to find the other leg, say B ,of the right triangle.

C^2 = A^2 + B^2

10^2 = 8^2 + B^2

100 = 64 + B^2 => B^2 = 100 - 64 = 36

B^2 = 36 so, B = 6 The positive square root since length is positive.

B = 6 ft This is how far the ladder bottom is from the wall.

Double Check: 10^2 = 8^2 + 6^2 or 100 = 64 + 36 Ok. As, it should. This check could be done mentally.

In addition, this is a Pythagorean Triple. (6, 8, 10).

Answer: 6 ft.

COPIED:)

Answer:

It will be  18 Tens

Step-by-step explanation:

Answer:

-7, -5, -3, -1

Step-by-step explanation:

Let x be the smallest of the four consecutive odd integers. Then the next three consecutive odd integers are x+2, x+4, and x+6. We have:

\(3(x + x + 6) = 4(x + 4) - 12\)

\(3(2x + 6) = 4(x + 4) - 12\)

\(6x + 18 = 4x + 16 - 12\)

\(6x + 18 = 4x + 4\)

\(2x = - 14\)

\(x = - 7\)

So the four consecutive odd integers are -7, -5, -3, and -1.

Answer:

opposite operation

Step-by-step explanation:

divide 35 by 5 so x=7

Answer:

6 workers

Step-by-step explanation:

Number workers to earnings is direct proportion.

8: 2400 :: x : 1800

Product of means = Product of extremes

2400 * x = 8*1800

           \(x = \frac{8*1800}{2400}\\\\x=6\)

Answer:

6 workers will earn Rs. 1800.

Step-by-step explanation:

Given :-

To find :-

Solution :-

Let

no. of workers will earn Rs. 1800 = x.

We need to write a ratio to solve.

using cross products

Divide each side by 2400

Hence, 6 workers will earn Rs. 1800.

Answer:

A. x²-2x-9

Step-by-step explanation:

If you want to laugh while learning math, then this paragraph is for you. It will show you how to find the perimeter of a weird triangle that has one side equal to x² - 2x - 5. Don't worry, it's not as hard as it sounds. Just follow these steps and you'll be fine.

First, you need to know that the perimeter of a triangle is the sum of the lengths of its three sides. So, to find the perimeter of this triangle, we need to add x, 2 (x - 4), and (x² - 2x - 5). That's easy, right? Just use the distributive property and combine like terms.

P = x + 2 (x - 4) + (x² - 2x - 5) P = x + 2x - 8 + x² - 2x - 5 P = x² + 2x - 9

Wow, look at that! The perimeter is a quadratic expression. How cool is that? But wait, there's more. We need to find the numerical value of the perimeter. To do that, we need to plug in a value of x that is greater than 4. Why greater than 4? Because otherwise the triangle would have negative or zero side lengths, and that's not possible. So let's pick x = 5 and see what happens.

P = (5)² + 2(5) - 9 P = 25 + 10 - 9 P = 26

Ta-da! The perimeter of the triangle is 26 units when x = 5. Isn't that amazing? You can try other values of x that are greater than 4 and see how the perimeter changes. But be careful, don't pick x = -3 or x = 3, because then you'll get P = 0, which means the triangle collapses into a line. And that's not funny at all.

Answer:

1.41421356

Step-by-step explanation:

I think

Answer:

Well first what times itself equals 5 if you have a calculator Find the square root symbol and put 5 inside it

Answer:

yes it is fair

Step-by-step explanation:

as long as there are multiple of the same block, then the game is just

Answer:

The measurement of angle B is 135°

The measurement of angle A is 60°

The measurement of angle C is 75°

Step-by-step explanation:

Angle A is the same value of 60, Angle B is pretty much just 180 - 45, and so is angle C.

Answer: Jhon is 42 years old, and his son is 21 years old.

Step-by-step explanation:

Let's define:

J = John's age

S = Age of the son.

We know that:

"John is twice as old as his son"

J = 2*S

"In 42 years, the ratio of their ages will be 4:3. What is the son's current age?"

In 42, their ages will be:

J + 42 and S + 42.

And the ratio 4:3 means that:

(J + 42) = (4/3)*(S + 42)

Then we have the system of equations:

J = 2*S

(J + 42) = (4/3)*(S + 42)

To solve it we can first replace the first equation into the second one, to get:

(2*S + 42) = (4/3)*(S + 42)

2*S  - (4/3)*S = (4/3)*42 - 42

S*(6/3 - 4/3) = (1/3)*42

S*(2/3) = (1/3)*42

S = (3/2)*(1/3)*42 = 21.

And we can find Jonh's age if we use the first equation:

J = 2*S = 2*21 = 42

Jhon is 42 years old, and his son is 21 years old.

Answer:

4. C. x = 4 or -4

Step-by-step explanation:

since both terms are perfect squares, factor using the difference of squares formula, a² - b² = ( a + b )  ( \(\alpha\) - b ) where

Answer:

a/40=3/10 means you should multiply each side by 40 Divide the denominators by 11 first, then multiply by 7. c/77 = 6/11. => c/7 = 6. => c = 42.

Step-by-step explanation:

Im rlly srry if this isn't helpful, this isn't rlly my strong suit in math

Answer:

(-2,3)

Step-by-step explanation:

Multiply the second equation by -1.

5x+2y=-4

3x-2y=-12

Linear combination

8x=-4-12

8x=-16

x=-2

Solve for y

5(-2)+2y=-4

-10+2y=-4

2y=6

y=3

The slope of the line perpendicular to the given line is equal to -4/1.

The equation is in the form y=mx+b

so, y=(1/4)x -10

First, find the slope of the line which is the value being multiplied by x. Therefore m=1/4

To find the slope perpendicular to the line you must find the negative reciprocal of 1/4. (Which just means change the sign then flip the fraction)

Multiplying 1/4 by -1 which is -1/4

Then flip the fraction and keep the sign with the numerator to find the reciprocal. So now it’s -4/1

Thus, the slope of the line perpendicular to the given line is equal to -4/1.

To know more about slopes visit: brainly.com/question/3605446

#SPJ4

The equation is in the form y=mx+b

so, y=(1/4)x -10

First, find the slope of the line which is the value being multiplied by x. Therefore m=1/4

Multiplying 1/4 by -1 which is -1/4

Then flip the fraction and keep the sign with the numerator to find the reciprocal. So now it’s -4/1

The length of CD is given as follows:

CD = 14.42 units.

The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.

The segment CD is the hypotenuse of a right triangle in which the sides have lengths of 12 and 8, hence it's length x is obtained as follows:

x² = 12² + 8²

x = sqrt(12² + 8²)

x = 14.42 units.

More can be learned about the Pythagorean Theorem at brainly.com/question/30203256

#SPJ1

Answer:

5.43 meters

Step-by-step explanation:

Centi- 100 (like a centipede)

so centimeters is 100th meter so you divide 543 by 100 which will be 5.43

Hope this helps!

Answer:

5.43 metres

Step-by-step explanation:

To convert from centimeters to meters you divide by one hundred

Answer:

Rational

Step-by-step explanation:

An irrational number is any number that cannot be turned into a fraction. 7 can be turned into a fraction.

Answer:

Step-by-step explanation:

The line BD divides a right angle into two acute angles <CBD + <DBA

They add to 90.

They are therefore complementary.

The word you are looking for is complementary.

The statement (b) the sum is a binomial with a degree of 3 is correct.

Expressions are defined as the combination of constants and variables with mathematical operators.

We have expressions:

6s²t – 2st²

4s²t – 3st²

Adding the above two expressions, we get;

= (6s²t – 2st²) + (4s²t – 3st²)

Combining like terms:

= 10s²t - 5st²

The above expression has degree 3(2+1)

Thus, statement (b) the sum is a binomial with a degree of 3 is correct.

Complete question:

What is true about the sum of the two polynomials?

6s2t – 2st2

4s2t – 3st2

a.) The sum is a binomial with a degree of 2.

b.) The sum is a binomial with a degree of 3.

c.) The sum is a trinomial with a degree of 2.

d.) The sum is a trinomial with a degree of 3.

To learn more about the expression visit:

brainly.com/question/14083225

#SPJ4

I think its 30!

Please let me know if its right!

Answer:25,36,49

Step-by-step explanation:

Answer:

Step-by-step explanation:

1  ,  4  ,  9  ,  16  ,  25  ,  36  ,  49

1 +  3  +  5 + 7  + 9  +  11  + 13  = ↑

Hope this helps! <3

Answer:

7.7 × \(10^{6}\)

Step-by-step explanation:

Start off with finding the digits in this case it would be 7,700,000

Now insert a decimal so that it is a number under 10.

That would be 7.7

to figure out what the exponent would be you have to count how many "jumps" the decimal takes to get back to the original number.

It would take 6 "jumps" to end up back to 7,700,000

Now that we have that information we can make the scientific notation

1) Take the number (7.7)

2) Multiply the number by 10 with the exponent of "jumps"

Thus,

7.7 × \(10^{6}\)

The solutions to the equation \(x^2 + 10x + 12 = 36\) By factoring or applying the quadratic formula, we find the solutions: x = -4 and x = 6. Hence, the values of x that satisfy the equation are -4 and 6.

To solve the equation \(x^2 + 10x + 12 = 36\), we'll follow these steps:

36 should be taken out of both sides of the equation.

\(x^2 + 10x + 12 - 36 = 0\)

Simplifying the left side, we get:

\(x^2 + 10x - 24 = 0\)

To factor the quadratic equation, we need to find two numbers whose sum is 10 (coefficient of x) and whose product is -24 (constant term). These numbers are 4 and -6.

Rewrite the quadratic equation using the found numbers:

(x + 4)(x - 6) = 0

Use the zero product property, which specifies that at least one of the components must be zero if the product of two factors is zero. Set each element to zero and then calculate x as follows:

x + 4 = 0 or x - 6 = 0

For x + 4 = 0:

x = -4

For x - 6 = 0:

x = 6

for such more question on quadratic equation

https://brainly.com/question/17482667

#SPJ8

Answer:

What does 134 x-7 equal?

134 x -7

Step-by-step explanation:

You're welcome.

In conclusion, the present value of your return from this investment, when the stock price is 98, is approximately $1.965.

To find the present value of your return from the investment, we need to calculate the value of the European put option at time t=1/2 and then discount it back to the present value using the nominal annual interest rate of 6 percent compounded monthly.

(a) If S(1/2) = 102:
To calculate the value of the European put option at time t=1/2, we need to determine if it is in-the-money or out-of-the-money.

The strike price is K=100, and since the stock price is greater than the strike price (102 > 100), the put option is out-of-the-money. In this case, the put option has no intrinsic value.

The present value of your return from this investment would be $5, as the put option has no value. There is no profit or loss.

(b) If S(1/2) = 98:
Similar to the previous case, we need to determine if the put option is in-the-money or out-of-the-money. Since the stock price is less than the strike price (98 < 100), the put option is in-the-money.

The intrinsic value of the put option is given by the difference between the strike price and the stock price:

K - S(1/2) = 100 - 98 = 2.

To calculate the present value of your return from this investment, we need to discount the intrinsic value of the put option back to the present value. The nominal annual interest rate of 6 percent compounded monthly translates to a monthly interest rate of 6% / 12 = 0.5%.

Using the formula for the present value of a future cash flow:
Present Value = Intrinsic Value / (1 + Monthly Interest Rate)^(Number of Months)

Number of Months = 1/2 years * 12 months/year = 6 months.

Present Value = 2 / (1 + 0.005)^(6)
Present Value ≈ $1.965.

In conclusion, the present value of your return from this investment, when the stock price is 98, is approximately $1.965.

To know more about investment visit:

https://brainly.com/question/14921083

#SPJ11

Answer:

16 visitors per hour

Step-by-step explanation:

96/6 = 16