m∠A =
, m∠B =
, m∠C =

Answer:

d) 76

Step-by-step explanation:

there are 180 degrees inside a triangle

so, 40+(3x+10)+(2x+20) = 180

combine 'like terms' to get:

5x + 70 = 180

subtract 70 from each side to get:

5x = 110

divide each side by 5:

x = 22

m∠BCA = 3(22)+10

= 66+10

= 76°

Answer:40

Step-by-step explanation:

325 students - 5 going in cars.

320 students left / 8 busses = 40 students per bus

Answer:

First, let's define two variables:

x = number of hours that you work at the Pollo Tropical per week

y = number of hours that you work at Jason's Deli per week

Now, you want to get enough money to go to Spring Break, we do not know how much money we need for this, so let's suppose that you need M.

With the given information, we know that the weekly earnings are:

x*$8 + y*$8.75

We can define this as the objetive function, the one that says how much money you get as a function of x and y:

M(x, y) = x*$8 + y*$8.75

Now, we know that:

"Pollo Tropical requires that you work at least 10 hours per week"

Then:

x ≥ 10

"Jason's Deli does not allow students to work more than 20 hours per week."

y ≤ 20

"you can't  work more than 28 hours/week."

x + y ≤ 28

Then we have:

M(x, y) = x*$8 + y*$8.75

And the system of inequalities is:

x ≥ 10

y ≤ 20

x + y ≤ 28

Complete Question:

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Let ŷ represent the profit (in thousands of dollars) for a certain company xx years after 1960. A statistician calculates a linear model  

ŷ = -1.23 x + 16.07  

Use the model to estimate the profit in 1965. Your answer should be in dollars, not thousands of dollars.

Answer:

[tex]\=y =\$9.92[/tex]

Step-by-step explanation:

From the question we are told that:

Number of years [tex]N=1960-1965=>5years[/tex]

Linear model    [tex]\=y = -1.23 x + 16.07[/tex]

Therefore Inputting values into the model we have

[tex]\=y = -1.23 (5) + 16.07[/tex]

[tex]\=y = -6.15+ 16.07[/tex]

[tex]\=y =\$9.92[/tex]

Answer:

the volume of triangular prism in cubic meters is 5*12+3*13=99

5×12×3×13=2340

We would require 400 square tiles, each measuring one square foot, to cover the whole surface of the square room.

If the perimeter of the room is 80 feet, we know that all four sides of the square room have the same length. To find the length of each side, we can divide the perimeter by 4: 80 feet / 4 = 20 feet.

Now that we know the length of each side of the room, we can find the area of the room by squaring that measurement: 20 feet x 20 feet = 400 square feet.

To find the number of floor tiles needed to cover the area of the room, we divide the total area of the room by the area of each tile: 400 square feet / 1 square foot/tile = 400 tiles.

So, to cover the entire area of the square room, we would need 400 square tiles of one square foot each.

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Answer:

9.7

Step-by-step explanation:

[tex]cos(59)=5/x\\\\x*cos(59)=5\\\\x=5/cos(59)\\\\[/tex]

x ≈ 9.7

C). The highest amount their liability coverage will provide is  $400,000

This is because most standard liability policies will provide up to $300,000 for bodily injury and $100,000 for property damage, but the policyholder may be able to purchase additional coverage for higher limits if they need it. The exact amount of coverage will depend on the policy the policyholder purchased.

Liability insurance is a component of the general insurance system of risk financing that protects the purchaser from the risks of liabilities imposed by lawsuits and similar claims, as well as the insured if the purchaser is sued for claims covered by the insurance policy.

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Answer:

a=7b/11

Step-by-step explanation:

11a=7b

11a/11=7b/11

a=7b/11

Answer: 11a=7b

-divide 11 from both sides

you'll end up with this result:

a=7b/11

The total sale price of n shirts can be found using the following expression:

total sale price = n * (26.99 - 5.99)

This expression first calculates the sale price of a single shirt by subtracting the discount from the original price, and then multiplies that value by the number of shirts to get the total sale price.

For example, if Mia bought 3 shirts, the total sale price would be 3 * (26.99 - 5.99) = 3 * 21 = 63.

The circumference of the circle is 43.98 in.

What is circumference?

The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc. The curve length around any closed figure is more generally referred to as the perimeter.

Given:

Pia drew a circle with a circumference of C and a diameter of 14 in

We have to find the circumference of the circle.

Since,

Circumference = 2*π*r

Here

Diameter of circle = 14 in.

⇒ Radius of circle = 7 in.

⇒ Circumference = 2*π*7 = 43.98 in.

Hence, the circumference of the circle is 43.98 in.

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Answer:

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

We see two sides and one angle marked as congruent on both triangles.

The congruent angle is not included.

It means we can neither state it is ASA nor SAA as both of these require two congruent angles.

Answer:

216

Step-by-step explanation:

The value of expression -x³+3x²+5x+1 is -1235 when x is 12

An expression is combination of variables, numbers and operators.

Given polynomial is -x³+3x²+5x+1

We need to find the value of the polynomial when x is 12.

To find this we just need replace x with 12

-(12)³+3(12)²+5(12)+1

Minus twelve cube plus three times of twelve square plus five times of twelve plus one

-1728+3(144)+5(12)+1

-1728+432+60+1

-1728+493

-1235

Hence, the value of expression -x³+3x²+5x+1 is -1235 when x is 12

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Answer:

$270

Step-by-step explanation:

20% of 225 is 45. So, 225+45=270

Answer: 1/2

Step-by-step explanation:

Number of red balloons = 17

Number of purple balloons = 11

Number of orange balloons = 3

Number of green balloons = 1

Number of yellow balloons = 2

Total number of balloons = 34

The probability that a randomly selected balloon will be red will be:

= Number of red balloons/Total number of balloons

= 17/34

= 1/2

Answer:

D. 8

Step-by-step explanation:

8*3=24

8*5=40

8*4=32

Answer:

15.92 rotations

Step-by-step explanation:

We need to find the circumference, then divide the distance of the driveway by the circumference.

C = (pi)(d)

C = (3.14)(16)

C = 50.24

400/50.24 = 7.971783 one way to the mailbox. Since it asks for the "journey to the mailbox", let's double it, giving us 15.9235669

After he trimmed it, it was [tex]84\frac{3}{8}[/tex] inches tall. This can be solved using expression.

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Any one of the following mathematical operations can be used i.e. addition, subtraction, multiplication, or division.

There are three different expression types:

The expression becomes:

= [tex]84\frac{5}{8} - [{4 * (\frac{1}{16})][/tex]

= [tex]84\frac{5}{8} - [\frac{1}{4}][/tex]

= [tex]84\frac{3}{8}[/tex]

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Answer:

[tex]y\leq \frac{3}{2}x+1[/tex]

Hope this helps! :)

Answer:

153

Step-by-step explanation:

Just plug the 9 in for every x in the equation. Your final answer should be 153.

The way to find the horizontal asymptote of the limit is evaluate the limit of the function as it approaches infinity, and again as it approaches negative infinity.

The term asymptote in math is defined as  a line that the graph of a function approaches as either x or y go to positive or negative infinity.

Here we have to find the horizontal asymptote of a limit.

The process of finding the horizontal asymptote is the line y = 0 is called the asymptote of the graph, and it also represents the value that f(x) will never quite reach.

Here we can also say that f ( x ) = 1 x is asymptotic to the line y = 0.

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The interquartile range (IQR) of the data in the dot plot is 3.5.

The interquartile range is a measure of where the “middle fifty” is in a data set. Where a range is a measure of where the beginning and end are in a set, an interquartile range is a measure of where the bulk of the values lie. That’s why it’s preferred over many other measures of spread when reporting things like school performance or SAT scores.

In descriptive statistics, the interquartile range is a measure of statistical dispersion, which is the spread of the data. The IQR may also be called the midspread, middle 50%, fourth spread, or H‑spread. It is defined as the difference between the 75th and 25th percentiles of the data.

The  upper and lower median values are shown below which would be the mean of the 2 middle values shown in the brackets below:

43, (44, 44,) 44, | 45, | 45, (47, 48,) 48

Upper median (Q3) = (47+48) ÷ 2 = 47.5

Lower median (Q1) = (44+44) ÷ 2 = 44

=>Step 4: Subtract the lower median from the upper median to get the IQR.

IQR = Upper median (Q3) - Lower median (Q1)

IQR = 47.5 - 44

IQR = 3.5

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Answer:

8. b

9.C

10.a

11.a

12. c

13. b

brainliest pls <3

Answer:

.

Step-by-step explanation:

......

.........................

Therefore , the solution of the given problem of combination comes out to be  there were 182 games played in all.

Combinations are operations in mathematics that count the number of possible combinations that can be created from a set of items, where the selection's direction is immaterial. You are free to select any arrangement of the parts. Permutations and combinations can be mixed up.

Here,

There still are 14 teams in all, but each team plays the other twice.

Every team plays almost every team twice, hence the total amount of games played is simply the permutations of 2 out of 14, which is determined by:

₁₄P₂

=14!/((14-2)!)

= (14×13×12!)/ 12!

= 14×13

=182

Consequently, there were 182 games played in all.

Therefore , the solution of the given problem of combination comes out to be  there were 182 games played in all.

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The simplified form of radical √18 . 3√5 = 9√10

In mathematics, a radical expression is defined as any expression containing a radical (√) symbol. Many times it is used to determine the square root of a number. However, it can also be used to describe a cube root, a fourth root, or higher. When the radical symbol is used to denote any root other than a square root, there will be a superscript number in the 'V'-shaped part of the symbol.

For example, ³√(8) means to find the cube root of 8. If there is no superscript number, the radical expression is calling for the square root.

The term underneath the radical symbol is called the radicand.

Given radical

√18 . 3√5

⇒ √(9 × 2) . 3√5

⇒ 3√2 . 3√5

⇒ 9(√2.5)

⇒ 9√10

⇒ 28.46

Hence, The radical √18 . 3√5 can be simplified to 9√10 having value = 28.46

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