One number is 7 more than another.The difference between their squares is 217.What are the numbers?

Answer:

A’/A = 2.25

Step-by-step explanation:

Let the length and width of ABCD be l and w respectively.

A = lw

=====

For rectangle A’B’C’D’  

l’ = 1.5l and w’ = 1.5w

A’ = l’w’

A’ = 1.5l × 1.5 w

A’ = 2.25 lw

=====

A’/A = 2.25lw/(lw)     Cancel lw

A’/A = 2.25

The area of the dilated rectangle is 2.25 times that of the original.

Answer:

The answer is "D"

Step-by-step explanation:

26/24=x/16

26*2/3=52/3

Answer:

x=1, y=4

Step-by-step explanation:

5x+y=9

10x-7y=-18

To solve by elimination, we pick a variable to eliminate, or get rid of.  I will multiply the first equation by -2 so we can get rid of x

-2( 5x+y)=9 *-2

-10x -2y = -18

Now we add this equation to the second equation

-10x -2y = -18

10x-7y=-18

-------------------------

-9y = -36

Divide each side by -9

-9y/-9 = -36/-9

y =4

We still need to solve for x

5x+y=9

Put in y=4

5x+4 = 9

Subtract 4 from each side

5x +4-4 = 9-4

5x = 5

Divide each side by 5

5x/5 = 5/5

x=1

Answer:

1,4

Step-by-step explanation:

add the equations in order to solve 1st variable, put the value in the other equations in order to solve- math  way

Answer:

C. Hundredths

Step-by-step explanation:

.  tenths   hundredths  thousandths  ten thousandths

. 6               7                       5                   0

If all sides have the same length, then this is an equilateral triangle. Therefore, the measures of the angles are the same and amount to 60°.

Therefore we have the equations:

7x - 3 = 60    add 3 to both sides

7x = 63      divide both sides by 7

x = 9

----------------

11y + 5 = 60        subtract 5 from both sides

11y = 55     divide both sides by 11

y = 5

Check:

m∠N = (7x - 3)° → m∠N = (7(9) - 3)° = (63 - 3)° = 60°

m∠M = (11y + 5)° → m∠M = (11(5) + 5)° = (55 + 5)° = 60°

CORRECT :)

The Difference between expressions '8 less than q' and 'ans' is q - ans - 8.

The phrase '8 less than q' can be expressed as q - 8.

To find the difference between q - 8 and the answer 'ans', you subtract the two expressions: (q - 8) - ans.

This simplifies to q - 8 - ans, or q - ans - 8.

For example, if q = 15 and ans = 5, the difference would be 15 - 5 - 8, which equals 2.

So the difference between '8 less than q' and 'ans' is q - ans - 8.

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The probable question may be:

What is the difference between 8 less than q?

Answer:

The length of CX is 22 ft.

Step-by-step explanation:

Given information: In triangle ABC, F, G, and H are the midpoints of sides BC, CA, and AB respectively.

The medians FA, BG and CH intersect each other at point X.

According to the property of triangle, the intersection point of medians is called centroid and the centroid divides each median in 2:1.

Since X is centroid, therefore points X divides the median CH in 2:1, therefore we can say that CX:XH is 2:1.

It is given that the length of CX is 33.

[tex]CX=\frac{2}{3}CH[/tex]

[tex]CX=\frac{2}{3}\times 33[/tex]

[tex]CX=2\times 11[/tex]

[tex]CX=22[/tex]

Therefore the length of CX is 22 ft.

Answer:

22 ft

Step-by-step explanation:

33-1/3(33)=22

Answer:

Hope this helps! If you have any questions feel free to ask.

Step-by-step explanation:

To find the total number of students in the class, you can use the given information of the percentage and the number of students who like to play volleyball.

To find the total number of students in the class, we can use the information given. It is stated that 30% of the students in the class like to play volleyball, and there are 12 students who like to play volleyball. Let's assume the total number of students in the class is x.

So, we can set up the equation 0.30x = 12 to represent the percentage of students who like to play volleyball. Solving this equation, we get x = 12 / 0.30 = 40. Therefore, there are 40 students in the class.

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Answer:

Commutative property

Step-by-step explanation:

Hope that helps!

Answer:

The equation in point - slope form of a line that passes through the points (3,-5) and (-8,4) is: y-(-5) = -(9/11) (x-3) or y+5 = -(9/11) (x-3)

Step-by-step explanation:

P1=(3,-5)=(x1,y1)→x1=3, y1=-5

P2=(-8,4)=(x2,y2)→x2=-8, y2=4

Equation in Point-Slope Form: y-y1=m(x-x1)

Slope: m=(y2-y1)/(x2-x1)

Replacing the known values:

m=[4-(-5)] / (-8-3)

m=(4+5) / (-11)

m=(9) / (-11)

m=-(9/11)

Equation in the point - slope form:

y-(-5) = -(9/11) (x-3)

y+5 = -(9/11) (x-3)

To graph the inequality c ≤ 3, you draw a solid line at 3 on the number line and shade to the left. For c < 3, you draw a dotted line at 3 on the number line and shade to the left, without including 3.

To graph the inequality c ≤ 3, you will draw a line at the value of 3 on the number line and shade the region to the left of the line. This includes the value 3 as well. This is because the inequality includes the symbol ≤, which means 'less than or equal to'.

On the other hand, to graph the inequality c < 3, you will draw a dotted line at the value of 3 on the number line and shade the region to the left of the line. However, this time the value 3 is not included in the solution because the inequality uses the symbol <, which means 'less than'.

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Answer:

c = 1/7

Step-by-step explanation:

Here we have to solve the linear equation.

We need to find the value of c.

5 = 6 - 7c

Isolate the variable and constants

Add 7c on both sides, we get

7c + 5 = 6 - 7c + 7c

7c + 5 = 6

Subtract 5 from both sides, we get

7c + 5 - 5 = 6 - 5

7c = 1

Dividing both sides by 7, we get

c = 1/7

Thank you.

Answer: n≥10

Step-by-step explanation:

The symbol ≥ means “greater than or equal to.” So, n≥10 means “n is greater than or equal to 10,” which basically means “n is at least 10”.

Answer:

n≥10

iready

holp it help

Answer:

The answer is 1.6

Answer:

1.6 minutes/lap

Step-by-step explanation:

Do 20 divided by 12.5 to get 1.6.

Hello,

When you are leaving an answer in terms of pi, you are simply leaving the pi symbol in the answer. Here is the symbol: π

- I . A -

In mathematics, 'leave it in terms of pi' means expressing the answer using the symbol π instead of decimal approximation. Pi is an irrational number, so it goes on forever without repeating. To leave an answer in terms of pi, keep π in the expression and perform calculations with it.

In mathematics, when it says 'leave it in terms of pi', it means that the answer should be expressed using the symbol π instead of rounding it to a decimal approximation like 3.14. Pi is an irrational number, meaning its decimal representation goes on forever without repeating. To leave an answer in terms of pi, you can keep π in the expression and perform any calculations with it. For example, if calculating the area of a circle, the formula would be A = πr², where r is the radius.

Answer:

The correct option is B.

Step-by-step explanation:

The distance between two points is

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

From the given figure it is clear that the coordinates of G are (1,2) and the coordinates of H are (6,5).

[tex]D=\sqrt{(6-1)^2+(5-2)^2}[/tex]

[tex]D=\sqrt{(5)^2+(3)^2}[/tex]

[tex]D=\sqrt{25+9}[/tex]

[tex]D=\sqrt{34}[/tex]

[tex]D=5.83[/tex]

[tex]D\approx 5.8[/tex]

The length of GH is 5.8 units. Therefore the correct option is B.

Answer:

X = 17°

Step-by-step explanation:

Given that triangle Δ IJK ≅ triangle Δ PQR.

Using CPCTC (corresponding parts of congruent triangles are congruent), we can say angle ∠I = angle ∠P.

given angle ∠I = 3x + 4, and angle ∠P = 72 - x.

Now solving angle ∠I = angle ∠P.

3x + 4 = 72 - x

3x = 72 - x - 4

3x = 68 - x

3x + x = 68

4x = 68

x = 68/4 = 17 degrees.

Hence, the value of x is 17°.

Answer:3

Step-by-step explanation: the reason why it's 3 is because 54 divided by 9 is 6 and 6 divided by 2 is 3

Answer:

1/2

Step-by-step explanation:

n=-3

4^ -(-3)= 32

if you get the same bases ==     4^-n= 4^3(=32)

so n =-3

Answer:

Step-by-step explanation:

0.126126126... = x

Numerator is 14

Correct answer is B.14

We have answered a three-part mathematical question. First, we converted 35% to a fraction, resulting in 7/20. We then calculated the sale price of inline skates by deducting this percentage from the original price to reach $81.24. Finally, we computed a 5% tax on the sales price to find a final total cost of $85.3.

This question moves through several concepts in percentage and tax calculation. The first part of the question asks you to express 35% as a fraction, which, when reduced, can be represented as 7/20.

For the second part of the question, in order to calculate the sale price, we need to compute 35% ($43.75) of the original price ($124.99) and deduct this amount from the original price, resulting in a sale price of $81.24.

Lastly, we need to calculate and add a 5% sales tax to the sale price. 5% of $81.24 is $4.06. Adding this to the sale price, we get a total cost of $85.3.

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When 18 is divided by 4, the quotient is 4 and the remainder is 2.

The division of 18 by 4, can be performed using long division or mental math. First, understand that 'dividend' is the number being divided (18), 'divisor' is what you divide by (4), 'quotient' is the result of the division and 'remainder' is what is left over.

Step 1: Divide 18 by 4. 4 fits into 18 four times (4 x 4 = 16).

Step 2: Subtract the 16 from 18 to find the remainder. 18 - 16 equals 2.

So, the quotient of 18 divided by 4 is 4 and the remainder is 2.

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Answer: The value of x = 16 units, y = 4.5 units and z = 7.5 units.

Step-by-step explanation:

Since we have given that

ABCD and EFGH are two similar polygons.

Dimensions of ABCD are as follows :

AB = 6 units

BC = 8 units

AD = x units

CD = 10 units

Dimensions of EFGH are as follows :

EF = y

FG = 6 units

EH = 12 units

GH = z

Since they are similar:

[tex]\dfrac{AB}{EF}=\dfrac{BC}{FG}=\dfrac{CD}{GH}=\dfrac{AD}{EH}\\\\\dfrac{6}{y}=\dfrac{8}{6}=\dfrac{10}z}=\dfrac{x}{12}[/tex]

First we take,

[tex]\dfrac{6}{y}=\dfrac{8}{6}\\\\y=\dfrac{36}{8}\\\\y=4.5\ units[/tex]

similarly,

[tex]\dfrac{8}{6}=\dfrac{10}{z}\\\\z=\dfrac{60}{8}\\\\z=7.5\ units[/tex]

similarly,

[tex]\dfrac{8}{6}=\dfrac{x}{12}\\\\x=\dfrac{96}{6}\\\\x=16\ units[/tex]

Hence, the value of x = 16 units, y = 4.5 units and z = 7.5 units.

Answer:

its not 7.5!!! i just took the test and its wrong!!

Answer:

II and III.

Step-by-step explanation:

Having branches near you is very important! Also knowing what you personally need from a bank is important

Answer:

3

Step-by-step explanation:

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

2x +  y = -9.

y= -2x-9 is in standard form itself with slope m = -2 and y intercept c as -9.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let, consider the equation of y = mx+c,

where, m is the slope of line and c is the y - intercepts. So to draw the graph firstly we find the two points to connect the line in which first is y-intercepts by putting x=0 in the given equation.

standard form of linear equation is :

y = mx+c  

comparing it with given equation :

y= -2x-9.

m = -2, c = -9

Therefore, y= -2x-9 is in standard form itself with slope m = -2 and y intercept c as -9.

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The given equation is a function. After simplifying, it takes the form y = 3/5x, a simple linear equation. Understanding the behavior of even and odd functions is useful in comprehending this.

The given expression, 3x + 2x = 3, needs to be first simplified before determining whether it is a function or not. The simplified expression is 5x = 3, which can be rearranged to the function form y = 3/5x. This is a simple linear equation, indicating a function. In general, an even function times an even function produces an even function, but an odd function times an even function gives an odd function. You can see this in the equations mentioned: x² e-x², x sin x, and xe-x².

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Answer:

z = 123.9

Step-by-step explanation:

We can use trigonometric functions, because we have a right triangle.  We now the adjacent and opposite side of the angle we are interested in, so we can use the tan function.

tan 20 = opposite/ adjacent

tan 20 = 45.1/z

Multiply each side by z

z* tan 20 = 45.1 /z * z

z * tan 20 =45.1

Divide each side by tan 20

z = 45.1 / tan 20

z=123.9112316

To one decimal place,

z = 123.9