Simplify the expression by combining like terms. 23+6c+8d−7d−6

The A) (5 + 3) × 20 is another expression to calculate the total amount spent

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that Cindy bought 5 dresses for $20 each and 3 pairs of shoes for $20 each. She used this expression to calculate the total amount she spent.

(5 × 20) + (3 × 20)          

Multiply in the parentheses first

100 + 60                        

Now Add

= $160 total

Thus She spent $160 total

The A) (5 + 3) × 20 is another expression to calculate the total amount spent.

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The circumcenter of the triangle ABC with vertices A(-2,4), B(-2,-2), C(4,-2) is found by locating the intersection of the perpendicular bisectors of the sides. It is calculated to be the point (1,1).

The circumcenter of a triangle is the point where the perpendicular bisectors of the sides intersect. It is equidistant from all three vertices of the triangle. To find the circumcenter of triangle ABC with vertices A(-2,4), B(-2,-2), and C(4,-2), we first find the midpoints of the sides and then the equations of the perpendicular bisectors.

The midpoint of AB is (-2, 1) and the midpoint of BC is (1, -2). The slope of AB is undefined and that of BC is 0. Hence, the slopes of the perpendicular bisectors are 0 and undefined respectively. The equation of the line passing through (-2,1) with slope 0 is y = 1. The equation of the line passing through (1,-2) with undefined slope is x = 1. The intersection of these two lines (circumcenter) is (1,1).

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The formula of a circumference of a circle:

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

We have r = 7. Substitute:

[tex]C=2\pi(7)=\boxed{14\pi}[/tex]

Question

what's the answer to this  

4 (w+1)-4w

Answer:

Step-by-step explanation:

4 (w+1)-4w =

4w + 4 - 4w =

4

Answer:

[tex]x=7.5[/tex]

Step-by-step explanation:

If you look at the large triangle, you will see that the side [tex]x[/tex] is opposite of 30° angle and the side 15 is opposite of 90° angle (side opposite of 90° angle is called the hypotenuse).

We have the angle, we have the side opposite and the hypotenuse. Which trigonometric ratio relates opposite side and hypotenuse? SINE!

So we use the sin ratio and cross multiply and solve for [tex]x[/tex]:

[tex]Sin(A)=\frac{Opposite}{Hypotenuse}\\Sin(30)=\frac{x}{15}\\x=15*Sin(30)\\x=15*(0.5)\\x=7.5[/tex]

Hence, [tex]x=7.5[/tex]

Answer:

a=3.75 un., b=11.25 un.

[tex]x=7.5\ un.[/tex]

[tex]y=\dfrac{15\sqrt{3}}{4}\ un.[/tex]

[tex]z=\dfrac{15\sqrt{3}}{2}\ un.[/tex]

Step-by-step explanation:

Given triangle is special 30°-60°-90° right triangle. The leg that is opposite to the angle of measure 30° is always equal to half of the hypotenuse. The hypotenuse is of length 15 units, the leg that is opposite to the 30° angle is leg with length of x units, then

[tex]x=\dfrac{15}{2}=7.5\ un.[/tex]

In right triangle with hypotenuse x and legs y and a, angle opposite to the leg a is 30°, then

[tex]a=\dfrac{x}{2}=\dfrac{7.5}{2}=3.75\ un.[/tex]

and

[tex]b=15-a=15-3.75=11.25\ un.[/tex]

By the Pythagorean theorem,

[tex]x^2=y^2+a^2,\\ \\7.5^2=3.75^2+y^2,\\ \\y^2=\left(\dfrac{15}{2}\right)^2-\left(\dfrac{15}{4}\right)^2=\dfrac{225}{4}-\dfrac{225}{16}=\dfrac{675}{16},\\ \\y=\dfrac{15\sqrt{3}}{4}\ un.[/tex]

In right triangle with legs y and b and hypotenuse z, leg y is opposite to 30° angle, then

[tex]z=2y=\dfrac{15\sqrt{3}}{2}\ un.[/tex]

If the divisor is not a whole number, move decimal point to right to make it a whole number and move decimal point in dividend the same number of places.

Divide as usual. ...

Put decimal point directly above decimal point in the dividend.

Check your answer.

Answer:

Here’s one way to do it.

Step-by-step explanation:

Example: Divide 0.539 by 0.11

0.11)0.539

Step 1. Move the decimal points so the divisor is a whole number.

Move them two spaces to the right in both divisor and dividend.

11)53.9

Step 2. Do the long division as usual.

The only difference is that you put the decimal point in the quotient directly above the one in the dividend.

     4.9

11)53.9

     44  

        99

        99

          0

0.539 ÷ 0.11 = 4.9

Answer:

0.25 in²

Step-by-step explanation:

This is all basic stuff of conversion and multiplication

Option D, The area of the rectangle is 6/24 square inches.

The area of a rectangle is calculated by multiplying its length and width. Given a rectangle with a length of 3/8 inch and a width of 2/3 inch, we can find the area using the formula:

Area = Length × Width

Substitute the given values:

Area = (3/8) × (2/3)

To multiply these fractions, multiply their numerators and their denominators:

Area = (3 × 2) / (8 × 3) = 6 / 24

After simplifying the fraction 6/24, we get 1/4.

Therefore, the area of the rectangle is 1/4 square inches. Among the answer choices, Option D (6/24) is equivalent to 1/4, so the correct answer is Option D.

Complete Question :

What is the area, in square inches, of the rectangle below?

3/8 inch

2/3 inch

Answer choices:

A square 16/9inches

B 25/24 square inches

C 5/11 square inches

D 6/24 square inches

Answer:

A: [tex]7x+y=801[/tex]

B: [tex]18x+3y=1949[/tex]

Step-by-step explanation:

we are given system of equations as

[tex]84x+12y=9612[/tex]

[tex]126x+21y=13643[/tex]

We can simplify each system of equations

[tex]84x+12y=9612[/tex]

we can factor out common terms

[tex]12\times 7x+12\times y=12\times 801[/tex]

[tex]12(7x+y)=12\times 801[/tex]

we can divide both sides by 12

[tex]7x+y=801[/tex]

now, we can simplify second system of equation

[tex]126x+21y=13643[/tex]

Firstly, we can factor

[tex]7\times 18x+7\times 3y=7\times1949[/tex]

[tex]7(18x+3y)=7\times1949[/tex]

we can divide both sides by 7

[tex]18x+3y=1949[/tex]

so, we get

A: [tex]7x+y=801[/tex]

B: [tex]18x+3y=1949[/tex]

Answer: $112.59 + $215.35 = $327.94

Hope this Helps ^^ And Brainliest is always helpful :)

Answer:

The total cost is $327.94

Step-by-step explanation:

215.35 + 112.59 = 327.94

Answer:

$12.00

Step-by-step explanation:

If they paid $0.72 in tax and tax is 6% or .06 then you could create an equation like this: x * .06 = .72 with x representing the original cost of the bracelet. Now you can just solve for x like so:

x * .06 = .72

÷.06       ÷.06

x = 12

Answer:

$12.00

Step-by-step explanation:

Answer:

-2.32193...

Step-by-step explanation:

log.5 (5)

Answer:

[tex]\log_{\frac{1}{2}} 5=-2.32193[/tex]

Step-by-step explanation:

Given : Expression [tex]\log_{\frac{1}{2}} 5[/tex]

To find : The solution of the given expression ?

Solution :

We have given expression [tex]\log_{\frac{1}{2}} 5[/tex]

Applying logarithmic property,

[tex]\log_b a=\frac{\log_e a}{\log_e b}=\frac{\ln a}{\ln b}[/tex]      

Where, [tex]\log _e[/tex] is the natural logarithm indicated as [tex]\ln[/tex]

[tex]\log_{\frac{1}{2}} 5=\frac{\ln (5)}{\ln {\frac{1}{2}}}[/tex]

[tex]\frac{\ln (5)}{\ln {\frac{1}{2}}}=\frac{1.60943}{ -0.69315}[/tex]

[tex]\frac{\ln (5)}{\ln {\frac{1}{2}}}=-2.32193[/tex]

Therefore, [tex]\log_{\frac{1}{2}} 5=-2.32193[/tex]

250 percent of 50 is  125.

Convert the percent to a decimal by dividing by 100:

250% = 250/100

           = 2.5.

Multiply this decimal by the number:

2.5 * 50.

Perform the multiplication:

2.5 * 50 = 125.

Thus, 250% of 50 is 125.

Answer:

52

Step-by-step explanation:

By solving the system of equations derived from the problem, we get that the club bought 23 black pens.

Let's denote the number of black pens as 'b' and the number of red pens as 'r'. According to the problem, we have two equations: b + r = 75 (there were 75 pens in total) and [tex]1.75b + 2r = 137[/tex] (the total cost of the pens was $137).

Now, we can solve this system of equations. From the first equation, we can express 'r' as r = 75 - b. Substitute this into the second equation: [tex]1.75b + 2(75-b) = 137.[/tex], simplifying this gives b = 23. So, the club bought 23 black pens.

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Answer:

u=-2, m=-7

Step-by-step explanation:

7-6u=5u+29

7-11u=29

-11u=22

u=-2

9m=4m-35

5m=-35

m=-7

Answer:

u=-2 and m= -7

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

104.50 - 18.50 basically then you get 86 then divided by 2 and get 43

Answer:

No solution

Step-by-step explanation:

Answer:

The answer is 9 square feet.

The area of the square tabletop is calculated using the formula A=s². Given that the length of one side is 3 feet, we substitute this into the formula to get A = 3², which equals to 9 square feet.

Janice is trying to calculate the area of a square tabletop using the formula A=s², where A represents the area and s stands for the length of one side. Since the length of one side of the square (s) is given as 3 feet, we can substitute this value into the formula, resulting in A = 3².

Squaring 3 (i.e., multiplying 3 by itself) gives us 9, so the calculated area of the square tabletop is 9 square feet.

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Answer:

30 Cubic Inches would be your answer.

Step-by-step explanation:

Answer:

4 Bird Feeders

Step-by-step explanation:

3 1/4 ALSO is 13/4

13/4 dived by 3/4 or 13/3 witch is 4 and some extra so it can only fill four feeders fully

Answer:

52 bird feeders

Step-by-step explanation:

First, you must determine how much birdseed the volunteer has in cups. To do this, multiply the 12 pounds by the 3 1/4 cups, as there are 3 1/4 cups in one pound. This means the volunteer has 39 cups of birdseed.

Then you must divide the amount of birdseed the volunteer has (39 cups) by the amount of birdseed needed to fill a bird feeder (3/4 cups), which will give you the amount of  bird feeders the volunteer can fill (52 bird feeders).

Answer: 1.4f  and  4/10f+f

Step-by-step explanation:

Answer:

Snow in March = 1.4f cm

Step-by-step explanation:

Given that

Snowfall in February in Delphine's house = f cm

Now, it is given that In march Delphine's house had 40% more snowfall than Febraury. So, this can be written in equation form as follows :

Snow in March = Snow in Febraury + 40% of Snow in Febraury

Snow in March = f + 40 % of f

Snow in March = f + 0.4f

Snow in March = 1.4f cm

1.4f cm

Answer:

The car is actually moving at a speed more than 80 miles per hour

Step-by-step explanation:

Theoretically, since the speedometer of the car is at 80, it means the car is having a speed of 80 miles / hr. The car should move by a distance of 80 miles in an hour.

But, practically changing the tire size can affect the speedometer accuracy because larger tire covers more ground in each complete revolution. So, the  actual speed is higher than the speedometer reads.

Example

Suppose a car comes with factory-installed tires which are 21.8 inches in diameter. It means that the circumference of each tire is 68.5 inches. Now if we replace the old tires with new tires having 24.6 inches as diameter then  each new tire has a circumference of 77.3 inches. This means the car  travels almost 10 inches more with each complete revolution. This can  tremendously affect the reading on the speedometer. The speedometer  will now indicate a speed which is too slow by almost 13%. When the  speedometer reads 60 miles/hour, the car will actually be traveling at a speed of 67.7 miles/hour.

Answer:

C) X - 5 = 3 (X + 2)

Step-by-step explanation:

X - 5 = 3 (X + 2)

- Write It Out -

5 Less Than A Number:

X is the anonymous number

X - 5

This is equal to three times the sum of the number and two:

Sum = addition

Sum of a number and two

X + 2

Three times this:

3 (X + 2)

X - 5 is the same as this:

X - 5 = 3 (X + 2)

- I.A. -

Answer:

75% increase in price

Explanation:

75% of $1 is 75 cents

The dimensions of the slab are:

Length = 3 meters

Width = 10 meters

To find the dimensions of the rectangular slab, we'll use the given area and the expressions for length and width.

Given:

Area = 30 square meters

Length = w

Width = 2w + 4

We can use the formula for the area of a rectangle to solve for w:

Area = Length × Width

Substituting the given values:

30 = w × (2w + 4)

Expanding the equation:

30 = 2w² + 4w

Rearranging the equation in standard quadratic form:

2w² + 4w - 30 = 0

Now, we can solve this quadratic equation using factoring, completing the square, or the quadratic formula. Let's use the quadratic formula:

w = (-b ± √(b² - 4ac)) / (2a)

In this case, a = 2, b = 4, and c = -30. Substituting these values into the formula:

w = (-4 ± √(4² - 4(2)(-30))) / (2(2))

w = (-4 ± √(16 + 240)) / 4

w = (-4 ± √256) / 4

w = (-4 ± 16) / 4

We have two possible solutions for w:

w = (-4 + 16) / 4 = 12 / 4 = 3

w = (-4 - 16) / 4 = -20 / 4 = -5

Since the width of the slab cannot be negative, we discard the second solution (w = -5).

Therefore, the width of the slab (w) is 3 meters.

Now, we can find the length using the given expression:

Length = w = 3 meters

Therefore, the dimensions of the slab are:

Length = 3 meters

Width = 2w + 4 = 2(3) + 4 = 6 + 4 = 10 meters

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Answer:

The answer is A

Step-by-step explanation:

5x + 18 = 7x - 12

Subtract 7x from both sides

5x + 18 - 7x = 7x - 12 - 7x

-2x + 18 = -12

Subtract 18 from both sides

-2x + 18 - 18 = -12 - 18

-2x = -30

Divide both sides by -2

-2x/-2 = -30/-2

x = 15

Answer:

M=3.5

Step-by-step explanation:

7x-2y=0.2

-7x        -7x

-2y = -7x + .02

/-2      /-2     /-2

y= 3.5x+ 0.01

slope is 3.5

Answer:

15> 1.99, Good Luck!

Step-by-step explanation:

$15 per month is better because you can rent more than 15 movies!

Go to this link you can create a graph https://nces.ed.gov/nceskids/createagraph/

The inequality that represents when the unlimited offer is better is attached

From the question, we have the following parameters that can be used in our computation:

So, we have

y = 15x

y = 1.99x

As an inequality, we have

y > 15x

y > 1.99x

Next, we plot the graph of the system of the inequalities

From the graph, we have solution to the system to be the shaded region

This means that all coordinates in the shaded region are the solutions to the system

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Answer: E

Step-by-step explanation: 1 gallon is equal to 4 quarts. If Sally needs to fill and refill a 2 quart pitcher with 6 gallons of water, multiply 6 by 4 to get 24.

The statement will be 13.4 = 13.40

Inequality is a statement of an order relationship which are greater than(>), greater than or equal to(≥), less than(<), or less than or equal to(≤) between two numbers or algebraic expressions.

13.4 = 13.40

The sign will be ( = )

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