Which is the mode of this data set?
55, 78, 43, 39, 78, 61, 75, 50, 43, 78

Answer:

Step-by-step explanation:

A triangle consists of 3 angles and sides. The sum of the angles in a triangle is 180°. Let the angle be <A, <B and <C.

<A + <B + <C = 180° ...... 1

If the measure of one angle is twice the measure of a second angle then

<A = 2<B ...... 2

Also if the third angle measures 3 times the second angle decreased by 48, this is expressed as <C = 3<B-48............ 3

Substituting equations 2 and 3 into 1 will give;

(2<B) + <B + (3<B-48) = 180°

6<B- 48 = 180°

add 48 to both sides

6<B-48+48 = 180+48

6<B = 228

<B = 228/6

<B =38°

To get the other angles of the triangle;

Since <A = 2<B  from equation 2;

<A = 2(38)

<A = 76°

Also <C = 3<B-48 from equation 3;

<C = 3(38)-48

<C = 114-48

<C = 66°

Hence the measures of the angles of the triangle are 38°, 66° and 76°

2 units to the left , you need to subtract 2 from each x value. Up 6 units, you add 6 to each y value.

A’(-11,0), B’(-6,0), C’(-5,4), D’(-10,4)

Draw the new shape at these new points and label as I have them written.

Answer:

The slope of the line between points A and B is 0.25

Step-by-step explanation:

Here in this question, we simply aim at calculating the slope of the line between two given points;

The points in question are;

A(400,40) and B(480,60)

Mathematically, the slope of the line can be calculated using the formula:

slope = (y2-y1)/(x2-x1)

Where ;

x1 = 400

y1 = 40

x2 = 480

y2 = 60

Substituting the values, we have;

slope = (60-40)/(480-400) = 20/80 = 1/4 = 0.25

Answer:

perimeter = 8x+12

Step-by-step explanation:

perimeter of a rectangle = 2(Length + width)

= 2[(3x+5)+(x+1)]

=2( 3x+5+x+1)

=2(4x+6)

perimeter= 8x+12

Answer:

Step-by-step explanation:

0.5%a  =  3

    ×10    ×10

 5%a    =  30

   ×20     ×20

100%a  = 600

   a = 600

Answer:

5x^-2 is rewritten as a negative exponent

Answer:

5×5=25

Step-by-step explanation:

25 divided by 5 is the answer to b which is 5 then what equals 25? answer is 5 times 5

Answer:

Inequality:

$14.5 > $9

OR

Peter's earnings > Cindy's earnings

Step-by-step explanation:

Number of hours Peter works every day = 3 hours

Number of hours Cindy works every day = 2 hours

Earnings per hour for both of them = $4.50

Total daily Earnings for Peter = Number of hours worked by Peter multiplied by hourly earnings of Peter

Total daily Earnings for Peter = 3 \times $4.50 = $13.5

Total daily Earnings for Cindy = Number of hours worked by Cindy multiplied by hourly earnings of Cindy

Total daily Earnings for Cindy = 2 \times $4.50 = $9

Comparing the daily earnings of Peter and Cindy, we can see that Earnings for Peter is greater than that of Cindy.

Inequality:

$14.5 > $9

OR

Peter's earnings > Cindy's earnings

Answer:

D. they are noncollinear

Step-by-step explanation:

this is because they aren't in one straight line going x, y, z, w. because they intersect and make cross shape.

Answer:

7 and 8

Step-by-step explanation:

7 X 7= 49  8 X 8= 64  and you can't get closer unless you make it a decimal

Answer:

310.51232

Step-by-step explanation:

here's your answer

Answer:

The vertex is at (-2,-8)

Step-by-step explanation:

You go left 2, and down 8, and then it's a scale of 1

Answer:

Length = 34 and Width = 30

Step-by-step explanation:

This is a simple system of equation that is mainly solved using substitution, so keep in mind the following key points:

First, we find the Width by plugging the given values in the formula:

[tex]128 = 2((4 + W) + W)\\128 = 8 +2W + 2W\\120 = 2W + 2W\\120 = 4W\\W = \frac{120}{4}\\\ W = 30[/tex]

All we did here was substituting 4 + W for L to find the Width.

Now, to find the Length we plug in the value of W and solve for L:

[tex]128 = 2(L + 30)\\\frac{128}{2} = (L + 30)\\64 = L + 30\\64 - 30 = L\\L = 34[/tex]

Tip: always sketch a rough geometrical diagram of word problems, it helps. (Refer to the diagram attached)

Keep working hard and good luck. <3

Answer:

F-1(x)=x+8

Step-by-step explanation:

What is the inverse of y=r? + 8?

I hope this help.

Answer:

b. x-5.

Step-by-step explanation:

If x + 5 is a factor then f(-5) will be = 0.

f(-5) = 0 so it is a factor.

f(5) = 720 so (x - 5) is not a factor.

Answer:

B) x - 5

Step-by-step explanation:

The remainder theorem states the given a polynomial f(x), if f(x) is divided by x - a, the remainder will be f(a). Therefore, one needs to verify if f(a) = 0 in order to confirm it to be a factor of f(x).

a) x + 5:

f(a) = f(-5) = (-5)³ + 12(-5)² + 47(-5) + 60 = 0

b) x - 5:

f(a) = f(5) = (5)³ + 12(5)² + 47(5) + 60 = 720

c) x + 4:

f(a) = f(-4) = (-4)³ + 12(4)² + 47(4) + 60 = 0

d) x + 3:

f(a) = f(-3) = (-3)³ + 12(-3)² + 47(-3) + 60 = 0

One can observe that only the item B has f(a) not equaling 0, and thus it cannot be a factor of f(x).

Answer:

Step-by-step explanation:

[tex]11m - (6m - 5) = 25\\[/tex]

Use - to open the bracket

[tex]-(6m-5)= -6m+5[/tex]

[tex]11m-6m+5=25\\[/tex]

Collect like terms and simplify

[tex]11m-6m=25-5\\5m = 20[/tex]

Divide both sides of the equation by 5

[tex]\frac{5m}{5} = \frac{20}{5} \\\\m = 4[/tex]

Answer:

[tex] x = 3 [/tex]

Step-by-step explanation:

Since points, A, B, C, D and E are collinear, AB = x + 7, BC = 2x, AC = 16, therefore:

[tex] AB + BC = AC [/tex]

[tex] (x + 7) + 2x = 16 [/tex]

Solve for x

[tex] x + 7 + 2x = 16 [/tex]

[tex] 3x + 7 = 16 [/tex]

Subtract both sides by 7

[tex] 3x + 7 - 7 = 16 - 7 [/tex]

[tex] 3x = 9 [/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{9}{3} [/tex]

[tex] x = 3 [/tex]

Answer:

13y - 55

Step-by-step explanation:

Given

7(3y - 5) - 2(10 + 4y) ← distribute both parenthesis

= 21y - 35 - 20 - 8y ← collect like terms

= 13y - 55

Answer:

When using the distributive property, we can operate parenthesis:

[tex]a*(b+c)=ab + ac[/tex]

So, in our case:

[tex]7(3y-5) -2(10+4y)[/tex]

[tex]7*3y+7*(-5) - 2*10-2*4y[/tex]

[tex]21y -35 - 20 - 8y[/tex]

[tex]=13y - 55[/tex]

So now we know the result is 13y - 55

Answer:

x = -10, 10

Step-by-step explanation:

Step 1: Write out function

f(x) = 8x² - 800

Step 2: Set equal to 0

0 = 8x² - 800

Step 3: Add 800 on both sides

800 = 8x²

Step 4: Divide both sides by 8

x² = 100

Step 5: Take square root on both sides

x = ±10

Step 6: Arrange

-10 < 10

So x = -10, 10

Answer:

top right

Step-by-step explanation:

Answer:

its b 3/11

Step-by-step explanation:

the decimal goes 0.2727272727...

Answer:

13x-4y

Step-by-step explanation:

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.

The sum of the expression (3x - 7y) and (10x + 3y) is 13x - 4y.

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,

(3x - 7y) + (10x + 3y)

Add like terms.

3x + 10x - 7y + 3y

13x - 4y

Thus,

The sum of the expression (3x - 7y) and (10x + 3y) is 13x - 4y.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

1,500

Step-by-step explanation:

You multiply 75 times 20

Answer:

x=2

Step-by-step explanation:

5×-10=0

5×=10

so you divide both sides by 5

Answer:

x=2

Step-by-step explanation:

Answer:

(0,-1,2,5)

Step-by-step explanation:

[tex]X = (-1, 0, 2)\\Y = (1, 2, 5)\\ \\X U Y = ?\\= (-1, 0,2,5)[/tex]

Replace x in the equation with 2.

-2(2) +4 = -4 + 4 = 0

The answer is 0

Answer:

3/8  or 37.5%

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

8260439 / 11 = 750949

Answer:

13 degrees

Step-by-step explanation:

mPQR=25 degrees , mRQT=11 degrees.

mPQT=PQR-RQT

MPQT=25-11=13 degrees