find the least common denominator of 3/8 and 11/2​

Answer:

x=0       x = -6

Step-by-step explanation:

7x^2−5x=9x^2+7x

subtract 7x^2 from each side

7x^2-7x^2−5x=9x^2-7x^2+7x

-5x = 2x^2 +7x

Add 5x from each side

-5x+5x = 2x^2 +7x+5x

0 = 2x^2 +12x

Factor out a 2x

0 = 2x(x+6)

Using the zero product property

2x =0  x+6 = 0

x=0       x = -6

A debt greater than Carol's would bear a value that is numerically larger but still under the negative sign. In simpler terms, any debt greater than -$130 is indeed a greater debt.

The question asks, 'Which of the following account balances represents a debt greater than Carol's?' When working with debts in math, it's important to remember that the larger the number, the greater the debt. So any number larger than -$130 represents a debt greater than Carol's.

For example, a balance of -$150 would be a larger debt than Carol's -$130. Why? Because when you owe $150, it's more than owing $130, despite the negative sign. Conversely, a balance of -$100 would be less of a debt than Carol's, because owing $100 is less than owing $130.

It's a somewhat counterintuitive part of working with negative numbers, but once you understand that the negative sign represents a debt, it starts to make sense. The concept of debt here is similar to examples provided where people often have a tendency to hold onto a savings account while carrying a credit card debt.

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An account balance which represents a greater value than Carol's account balance is -$165

Using the parameters given for our Calculation;

Values which represents a greater debt than Carol's are values which falls farther to the left of 130 on a number line.

From.the values given, only -165 falls further to the left of -130 on a number line.

Hence, the correct answer is -$165.

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A=bh for a rectangle. 16x3= 48in(width/base) 16x2= 32in (height) so A=48x32. A= 1,536

Answer:

A = (800 yd - x)x, [0, 800]

Step-by-step explanation:

The farmer fences in this rectangular garden using 1600 yds of fencing.  Using the formula for the perimeter of a rectangle,

P = 2x + 2L, where x is the width and L is the length.  Here P = 1600 yd.

Solving for L:  1600 yd = 2x + 2(L) →  800 yd = x + L  →  L = 800 yd - x.

The area of the rectangle is A = L·x.  Subbing (800 yd - x) for L, we get:

A = (800 yd - x)x.  This is the desired formula for the area of the rectangle as a function of x alone.  Neither length nor width can be negative, so the domain of this function A is x ≤ 800 yd.

Let the length of the rectangular garden = l yards

And the width of the garden = w yards

Farmer has the fence in length = 1600 yards to cover all the sides of the garden

Therefore, Perimeter of the rectangular garden = 1600 yards

Since, perimeter of the rectangular garden is given by the expression,

Perimeter = 2(l + w)

By substituting the values in the expression,

1600 = 2(l + x)

l + x = 800

l = 800 - x -------(1)

Since, area of the rectangle = Length × Width

                                                = l × w

                                                = lx

Therefore, by substituting the value of 'l' in terms of 'x' in from equation (1),

Area of the rectangular garden = (800 - x)x

If the area of the garden is represented by by the function A(x),

A(x) = (800 - x)x

A(x) = 800x - x²

Since, Area can not be negative or zero,

Domain of the function will be 0 < x < 800

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y - 2x = 1

6x - y = 7

Adding equations,

4x = 8

x = 2

y = 2x + 1 = 5

Answer: (2,5)

Check:

5-2(2)=1, good

6(2)-5=7, good

To solve the system of equations y - 2x = 1 and 6x - y = 7, we use the elimination method. By aligning the equations and setting the right sides equal, we can solve for 'x' and then 'y', resulting in the solution x = 2 and y = 5.

Solving the System of Equations

To solve the system of equations:

y - 2x = 1

6x - y = 7

We can use the method of substitution or elimination. In this case, the elimination method seems efficient. Let's align the equations:

y = 2x + 1

6x - y = 7

We can eliminate y by adding the two equations. First, rearrange the second equation:

y = 2x + 1

y = 6x - 7

By setting the right sides equal to each other, we get 2x + 1 = 6x - 7. Solving for x gives us x = 2 and substituting x back into either equation yields y = 5.

Therefore, the solution to the system of equations is x = 2 and y = 5.

Answer:

9cos(46x) + 9cos(12x)

Step-by-step explanation:

18cos(29x)cos(17x)

According to Product-Sum identities

cos(α)cos(β)= (1/2)[cos(α+β)+cos(α-β)]

Putting α=29x and  β=17x in Product-Sum identity we get

= 18×(1/2)[cos(29x+17x)+cos(29x-1`7x)]

Dividing 18 by 2 we get 9

= 9[cos(46x)+cos(12x)]

Multiplying 9 with both the terms we get

= 9cos(46x)+9cos(12x)

Answer:

The x intercept will be (9,0) and the y intercept will be (0,-3.6)

Step-by-step explanation:

If you graph both of these points on the graph you can see the x intercept clearly but you have to solve for the y intercept by plugging it into y=mx+b equation.

Answer:

The volume of the dirt in the flowerbed is [tex]1,056\ in^{3}[/tex]

Step-by-step explanation:

we know that

To find the volume of the dirt in the flowerbed, multiply the long by the width by the depth

so

[tex]V=(22)(8)(6)=1,056\ in^{3}[/tex]

Final answer:

To calculate the volume of dirt in a rectangular flowerbed with dimensions of 22 inches by 8 inches by 6 inches, use the formula Volume = length × width × height, resulting in 1056 cubic inches.

Explanation:

The question asks for the volume of dirt a rectangular flowerbed can hold. To find the volume, we use the formula Volume = length × width × height. Given the dimensions are 22 inches (length) by 8 inches (width) by 6 inches (height), we calculate the volume as:

Volume = 22 in. × 8 in. × 6 in. = 1056 cubic inches. Therefore, the volume of the dirt in the flowerbed is 1056 cubic inches.

The number √1/√49 is a rational number.

Given a number √1/√49.

Here the numerator and the denominator includes the square root.

We can see that both the numbers inside the square root is a perfect square.

So the number can actually be written in the integer form.

So,

√1/√49 = 1/7, since 7² = 49

Now rational numbers are numbers which can be written in the form of p/q where p and q are integers with q not equal to 0.

Here the number can be written as 1/7, where 1 and 7 are integers.

Hence it is rational.

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Answer:

B. He multiplied the dividend by 100 instead of 10.

Step-by-step explanation:

Chen had to divide [tex]1.926[/tex] by [tex]0.9[/tex]. To make it easier to divide, he thought of multiplying both the dividend and the divisor by 10.

Chen multiplied the divisor by 10 but mistakenly multiplied the dividend by 100 instead of 10.

So his whole division problem was changed.

Therefore, the correct answer option is B. He multiplied the dividend by 100 instead of 10.

Answer:

option B

He multiply the dividend by 100 instead of 10

Step-by-step explanation:

Given that,

divisor  = 0.9

dividend = 1.926

Chen decided to multiply each by 10 to get

divisor  = 0.9 x 10 = 9

dividend = 1.926 x 10 = 19.26

but unfortunately he multiply the dividend by 100

As,

1.926 x 100 = 192.6

So,

Chen's error was that he multiply the dividend by 100 instead of 10.

Answer:

C

Step-by-step explanation:

a-b-c

-3-4-(-5)

-3-4+5 [as - - = +]

-2

Answer:

60% of 243 = 145.80

Hope this helps,

Davinia.

60% × 243 =

(60 ÷ 100) × 243 =

(60 × 243) ÷ 100 =

14,580 ÷ 100 =

145.8

how to make sure it is right we do the reverse of what we did

145.8 ÷ 243 =

0.6 =

0.6 × 100/100 =

0.6 × 100% =

(0.6 × 100)% =

60%

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Prediction for the number of unsuccessful rolls is 15.

There is [tex]\frac{1}{6}[/tex] chance of rolling number 6 on the cube. If we want to find out what is the prediction for rolling number 6 in 18 rolls, we need to multiply [tex]6*\frac{1}{6}[/tex] which is 3. So if we roll a cube 18 times, we will probably got number 6 three times. When we subtract 3 from 18 (18-3), we get 15. That is the answer to your question.

I hope I helped you. I will be really happy, If you mark my answer as the brainliest.Your David

Answer:

option C)

(19,2,5)

Step-by-step explanation:

| 4 | x

| 12 | y

| 5 | z

After reducing the matrix in row-echelon form we are left with three equation as following

Equation 1

0x + 0y + 1z = 5

Equation 2

0x + y1 + 2z = 12

Equation 3

1x + 0y -3z = 4

As in first equation

0 + 0 + z = 5

z = 5

Put this value of z in equation 2 and 3

y + 2(5) = 12

y + 10 =12

y = 12 - 10

y = 2

x + 0 -3(5) = 4

x - 15 = 4

x = 4 + 15

x = 19

Answer:

Step-by-step explanation:

The measure of a central angle is equal to the measure of its intercepted arc. A chord is a segment that has is endpoints on a circle. ... A line is called a straight angle and it forms a 180 degree angle. A central angle is an angle with its vertex at the center of a circle and its sides are radii of the same circle.

Answer:

[tex]8\pi\ ft[/tex]

Step-by-step explanation:

we know that

The circumference of a circle is equal to

[tex]C=\pi D[/tex]

where

D is the diameter

we have

[tex]D=8\ ft[/tex]

substitute

[tex]C=\pi (8)=8\pi\ ft[/tex]

Answer: [tex]8\pi\ \text{ft.}[/tex]

Step-by-step explanation:

We know that formula to calculate the circumference of a circle is given by :-

[tex]\text{Circumference}=\pi d[/tex], where d is the diameter of the circle.

Given: The diameter of the circle : [tex]d=\ 8\ ft.[/tex]

Then , the circumference of a circle is given by :-

[tex]\text{Circumference}=\pi (8)=8\pi\ \text{ft.}[/tex]

Hence, the exact circumference of a circle with diameter equal to 8 ft = [tex]8\pi\ \text{ft.}[/tex]

Answer:

32

Step-by-step explanation:

Thankyouuuuuuuuuuuuuuuuuu

Answer:

They all have 3 cups together.

Step-by-step explanation:

I added 1/2 plus 1 3/4 plus 1 4/6 on a calculator and got 3.91666666667

Basically 3.

He grates 6/8 pounds of cheese in all.

For this problem, you just have to add the numerators and keep the denominators.

4/8 + 2/8 = 6/8.

Remember, if the denominator is the same, just add the numerator.

When you add fractions remember only add the numerator. There has to be a common denominator. Like 8.

4/8 + 2/8

4+2=6

So the answer is 6/8

Answer:

The arc length of the partial circle is [tex]6\pi\ units[/tex]

Step-by-step explanation:

we know that

The circumference of a circle is equal to

[tex]C=2\pi r[/tex]

In this problem we have a 3/4 of a circle

so

the circumference is equal to

[tex]C=(\frac{3}{4})2\pi r[/tex]

[tex]C=\frac{3}{2}\pi r[/tex]

we have

[tex]r=4\ units[/tex]

substitute

[tex]C=\frac{3}{2}\pi (4)[/tex]

[tex]C=6\pi\ units[/tex]

Answer:

The perimeter of rectangle is [tex]18\ cm[/tex]

Step-by-step explanation:

Let

x------> the length of rectangle

y----> the width of rectangle

we know that

The area of the constructed figure is equal to

[tex]A=xy+2x^{2} +2y^{2}\\A=120\ cm^{2}[/tex]

so

[tex]120=xy+2x^{2} +2y^{2}[/tex] -----> equation A

[tex]x=y+5[/tex] -----> equation B

substitute equation B in equation A

[tex]120=y(y+5)+2(y+5)^{2} +2y^{2}\\120=y^{2}+5y+2(y^{2}+10y+25)+2y^{2}\\120=y^{2}+5y+2y^{2}+20y+50+2y^{2}\\5y^{2}+25y+50-120=0\\5y^{2}+25y-70=0[/tex]

using a graphing calculator to resolve the quadratic equation

the solution is

[tex]y=2\ cm[/tex]

Find the value of x

[tex]x=2+5=7\ cm[/tex]

Find the perimeter of rectangle

The perimeter of rectangle is equal to

[tex]P=2(x+y)\\P=2(7+2)=18\ cm[/tex]

Answer:

2

Step-by-step explanation:

Answer:

(P-12)/2 = L

Step-by-step explanation:

1. Start off with an equation in terms of perimeter

P = (2)(6) + (2)(L)

2. Multiply the two and the six

P = 12+ (2)(L)

3. Move the terms around so only "L" is on one side

(P-12)/2 = L

hope this helped :)

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Step-by-step explanation:

Answer:

And for people struggling with simpler answers, here!

Step-by-step explanation:

P-12

———-

2

or

P-12/2

Check the picture below.

the idea being, the winding path is made out of semi-circles, each semi-circle has a diameter of 3, as you see there in the picture.

now, if we could just take two semi-circles, we'd have a full circle, with a diameter of 3, so from all 4 semi-circles we can actually get two full circles, as you see there, and the circumference of those two full circles, is the length of the winding path.

[tex]\bf \textit{circumference of a circle}\\\\ C=\pi d~~ \begin{cases} d=diameter\\[-0.5em] \hrulefill\\ d=3 \end{cases}\implies C=3\pi \qquad \stackrel{\textit{two circles added together}}{3\pi +3\pi \implies 6\pi ~~\approx~~18.85}[/tex]

Answer:

12

Step-by-step explanation:

Given trinomial is [tex]x^2-bx+36[/tex].

Now we need to find the value of b that will make the trinomial [tex]x^2-bx+36[/tex] a perfect square.

[tex]x^2-bx+36[/tex]

[tex]=x^2-bx+36[/tex]

[tex]=x^2-bx+6^2[/tex]

compar with  [tex]=a^2-2ab+b^2=(a-b)^2[/tex]. we get:

a=x and b=6

then middle term -2ab=-2(x)(6)=-12x

compare -12x with -bx, we get b=12

Hence choice C. 12 is correct.

Answer:

The correct answer is option C.  12

Step-by-step explanation:

It is given a quadratic expression

x² - bx +  36

To find the value of b

From the above expression we can see that 36 is a perfect square,

6² = 36

We can write this expression as ( x - 6)² if b = 12

(x - 6)² = x² - 12x + 36

Therefore the correct answer is option C.   b = 12

Answer:

90

Step-by-step explanation:

If you take 9 pictures on each page that is gonna be its own number so you than add 6 and 4 and get ten than multiply it by 9 and boom you get 90

Carli has a total of 90 pictures in her photo book, with 54 pictures from her trip to Fort Lauderdale and 36 pictures from her trip to Las Vegas.

In order to find the total number of pictures in Carli's photo book, we need to calculate the number of pictures on each page for both trips and then sum them up. Carli put 9 pictures on each page. She filled 6 pages with pictures of her trip to Fort Lauderdale, so the number of pictures for this trip is 6 pages x 9 pictures per page = 54 pictures. Carli also filled 4 pages with pictures of her trip to Las Vegas, so the number of pictures for this trip is 4 pages x 9 pictures per page = 36 pictures. The total number of pictures in her photo book is 54 pictures + 36 pictures = 90 pictures.

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Answer:

Don't take my word for it but I think it would be 55% chance. I'm Probably wrong.

Step-by-step explanation:

Answer:

9% or 0.09

Step-by-step explanation:

Given, chance of land having oil is 45%. Which is 0.45

So, chance of land NOT having oil is  percent. Which is 0.55

Given, kit's accuracy rate of finding oil as 80%. Which is 0.80

So, kit's accuracy rate of NOT finding oil is   percent. Which is 0.20

These 2 events are INDEPENDENT, which means that the probability of one event occurring does not affect the probability of another event occuring.

The formula, if we let the two evens be A and B, is:

P(A and B)=P(A) * P(B)

Now, "the probability that the land has oil (event A)AND the test predicts that there is no oil (event B)" will be:

P(A and B) = P(A) * P(B)

Hence, the probability is 0.09 or 9%

the answer is number 2 sin (u-v)÷