Pam is 11 years older than Carl. If the sum of their ages is 91, how old are Pam and Carl?

Answer:

(x - 3)(x - 12)

Step-by-step explanation:

Assuming you require to factor the expression

x² - 15x + 36

Consider the factors of the constant term (+ 36) which sum to give the coefficient of the x- term (- 15)

The factors are - 3 and - 12, since

- 3 × - 12 = + 36 and - 3 - 12 = - 15 , then

x² - 15x + 36 = (x - 3)(x - 12) ← in factored form

Answer:

2, 3, 4, and 5

Step-by-step explanation:

Class A and Class B's distributions overlap for the values of 2, 3, 4, and 5. This can be seen in the dot plot below since all of these values have inputs on both of the class' distributions. Values 0 and 1 are not included because they only have inputs for Class A, while values 6 and 7 are not included because they only have inputs for Class B. In order for the values to overlap they need to be included in both class distributions.

Answer:

2,3,4,5

Step-by-step explanation:

Class A and Class B distribution overlap at 2,3,4 and 5 because if you look at both graphs you can see how they both overlap each other.

Answer:

6 gallons and 2 pints

Thank for posting the pic, it makes sense now!

Answer:

Mean = 109.4

Step-by-step explanation:

Mean = (Sum of all values)/(Number of values)

Mean = (100 + 121 + 105 + 113 + 108)/(5)

Mean = (547)/5

Mean = 109.4

Answer:

109

Step-by-step explanation:

Mean is just finding the average of the data set.

100+121+105+113+108=547, first add up all the numbers

547/5=109.4, then divide that sum by the amount of numbers in the set

Answer:

B

Step-by-step explanation:

Step-by-step explanation:

17-9=8 so your welcome byee

Answer:

C) 15% off with a $15 rebate

Step-by-step explanation:

So a rebate is like a refund which means:

A) 120(.8) = 96         You use .8 because you’re paying 80%

B) 120-30= 90

C) 120(.85) = 102     you use .85 because you’re paying 85%, now

 102-15= 87         Subtract 15 since you get a $15 rebate

D) 120(.9)=108   You use .9 since you are paying 90%

    108-20= 88    Subtract 20 since you get a $20 rebate

since C ended up with the lowest price, the answer is C

Answer:a symbol, usually a letter, used to represent a number.

Step-by-step explanation:

a math process (like adding, subtracting, multiplying, or dividing)

Answer:

0.

Step-by-step explanation:

There is a total of 20 red + 14 blue + 10 purple + 28 green + 8 yellow beads which equal 80 total beads. However, she does not have any pink beads, so the probability of picking one is 0 pink beads / 80 total beads = 0.

[tex]\mathbb{ANSWER:}[/tex]

[tex]\sf \frac{-3-\sqrt{2} }{3\sqrt{17} }[/tex]

[tex]\sf = \frac{-3-\sqrt{2} }{3\sqrt{17} } \cdot \frac{\sqrt{17} }{\sqrt{17} }[/tex]

[tex]\sf = \boxed{\sf \frac{-3\sqrt{17} - \sqrt{34} }{51} }[/tex]

Answer: In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.

Vertical angles prove that Angle 3 is congruent to angle 6.

The triangles are similar because alternate interior angles are congruent.

Step-by-step explanation:

Answer:

[tex]\huge\mathfrak\pink{ here's your solution } \\ \\ im \: soo \: happy \: [/tex]

Answer:

2nd option

Step-by-step explanation:

Consider the coordinates of T(- 3, 3 ) → T' (3, - 1 )

- 3 → 3 is 6 units right in the positive  x-direction

3 → - 1 is 4 units down in the negative y- direction

Then translation rule is

(x, y ) → (x + 6, y - 4 )

Answer:

56.25 π cm^2

Step-by-step explanation:

The circumference of a circle is given by C = 2 π r

15 π = 2 π r

Divide each side by π

15 = 2r

Divide by 2

15/2 = 2r/2

7.5 = r

We want to find tha area

A = π r^2

A = π (7.5)^2

A = π 56.25

A = 56.25 π

Answer:

10k+15/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello : x = -0.75

Answer:

Step-by-step explanation:

8 exponent 2 + 2 = 64 + 2 = 66

Answer:

8^2+2

=8*8+2 [8^2=8*8]

=64+2

=66

Step-by-step explanation:

The square of a number is equal to the number my multiplied by itself 2 times i.e. n*n=n^2. Using BODMAS (Brackets of Division, Muliplication, Addition and Subtraction), we should multiply 8 first, then add 2 to it.

Answer:

x = number of wheelbarrow = 40

y = number of wagon = 30

Step-by-step explanation:

Let

x = number of wheelbarrow

y = number of wagon

x + y = 70 (1)

x + 4y = 160 (2)

subtract (1) from (2) to eliminate variable x

4y - y = 160 - 70

3y = 90

y = 90/3

y =30

Substitute y = 30 into (1)

x + y = 70 (1)

x + 30 = 70

x = 70 - 30

x = 40

x = number of wheelbarrow = 40

y = number of wagon = 30

Answer:   6  1/8

Step-by-step explanation:

Each x on the line represents one piece of string that long. For example, since there is one x at 1/8, she cut one piece of string 1/8 ft long. So you take all the values and add them up:

1/8+2/4+2/4+2/4+2/4+5/8+3/4+3/4+7/8

then find a common denominator (so make everything over 8)

1/8+4/8+4/8+4/8+4/8+5/8+6/8+6/8+7/8    =      41/8

when you divide this, you will get 5 1/8

since theoriginal problem says she still has 1 foot leftover, you add one to get the total value when she started.

So, Emma had 6 1/8 ft string originally

Answer:

136degrees

Step-by-step explanation:

The sum of the two angles of the parallelogram is 224 °. Calculations of parallelogram plateau angles?

Note that the sum of interior angle of a parallelogram is 360 degrees

If the sum of two angles of the parallelogram is 224 °, the remaining angle will be expressed as:

Other angles = 360-224

Other angles = 136degrees

Hence the sum of other angles of the parallelogram will be 136degrees

Answer:

the total number of boxes being loaded is 1,200 trucks

Step-by-step explanation:

Given that

There are 48 boxes that should be loaded onto a truck

And, still it is required to lead 96% of the boxes onto the truck

We need to find out the total number of boxes that should be loaded

So

Since 48 boxes represent the 4% of the boxes that are loaded

So,

The total number of boxes would be

= 48 × 100 ÷ 0.04

= 1,200 trucks

Hence, the total number of boxes being loaded is 1,200 trucks

Answer:

You have a 0.8% chance of winning, and a 99.2% chance of losing

1.) 3x

2.) area

3.) six

4.) 3/2

:)

Answer:

The height of the pyramid can be represented as

3x

The

area

of an equilateral triangle with length

The area of the hexagon base is

six

The volume of the pyramid is

3/2

Step-by-step explanation:

Answer:

58 percent is one of them

Step-by-step explanation:

105 freshman divided by 180 students total

Answer:

x = 8

Step-by-step explanation:

The measures of the angles in a triangle add up to equal 180°

That being said we can create an equation to solve for x

( note that this is a right triangle indicated by the square. A right triangle has a right angle which has a measure of 90° )

180 = 90 + 5x + 5 + 5x + 5

now we solve for x using basic algebra

step 1 combine like terms

90 + 5 + 5 = 100

5x + 5x = 10

now we have 180 = 100 + 10x

step 2 subtract 100 from each side

180 - 100 = 80

100 - 100 cancels out

now we have 10x = 80

step 3 divide each side by 10

10x / 10 = x

80 / 10 = 8

we're left with x = 8

Answer:

200

Step-by-step explanation: