A recent poll in your state shows that 25% of the vehicles are SUV’s and 10% are trucks. The pill counted 5 million SUV’s. How many of the vehicles did they look at in total?

The cost of each sandwich, given the number that was sold and the profit made was  $15.

Let S be the price of a sandwich and A be the price of a salad.

From the lunch sale, we know:

14 S + 14 A = $280

From the evening sale, we know:

42S + 154 A = $ 1400

Simplify the first equation by dividing through by 14:

S + A = $20

Solving this equation for S gives:

S = $20 - A

Substitute this equation into the second equation:

42 ( $20 - A ) + 154 A = $1400

$ 840 - 42 A + 154 A = $1400

112A = $560

A = $5

Substitute A = $5 into the first equation:

S + $5 = $20

S = $15

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Answer:

12

Step-by-step explanation:

Answer:

The answer is 12,

Step-by-step explanation:

12 is the coefficient because it is the number multiplied by the variable p in the equation.

Answer:

the answer is 0.1 dime

Step-by-step explanation:

2 1/2 % = 2.5%

2.5% of 4 = 4 * 2.5/100

= 0.1 dime

Amount left with Mathew = 4 - 0.1 = 3.9 dimes

Mathew has 3.9 dimes left with him.

The fourth term in the Binomial expansion of \((e + 2f)^{10}\) is \(10C_{3} (e)^{3}(2f)^{7}\)

In elementary algebra, The Binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial. According to the theorem, it is possible to expand the polynomial \((x + y)^{n}\) into a sum involving terms of the form \(ax^{b}y^{c}\), where the exponents b and c are nonnegative integers with b + c = n ,  and the coefficient a of each term is a specific positive integer depending on n and b.

The binomial theorem formula is \((x + y)^{n}\) = ∑ \(nC_{r} x^{n-r}y^{r}\), where n is a positive integer and x, y are real numbers, and 0 < r ≤ n.

The formula to find the nth term in the binomial expansion of \((x + y)^{n}\) is \(T_{r+1} = nC_{r} x^{n-r}y^{r}.\)

As question demands fourth term of the expansion we need to substitute

r = 3 in the formula of nth term

On substituting we get

\(T_{3+1} = 10C_{3} (e)^{10-3}(2f)^{3}.\)

\(T_{4} =\) \(10C_{3} (e)^{3}(2f)^{7}\)

Hence the fourth term in the binomial expansion of \((e + 2f)^{10}\) is \(10C_{3} (e)^{3}(2f)^{7}\)

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Using p for price and q for quantity, the demand function is; q = -3/2p + 1590

Given that at;

The monthly demand at a price of $900 = 240

The monthly demand at a price of $850 = 315

We are told that the system is a linear function. Therefore demand function would be in the form of slope intercept form as;

q = mp + c

Where;

q = quantity demanded

p = price

m = slope

c = y-intercept

At a price of $900 with a monthly demand of 240 gives the equation;

240 = 900m + c  ---(1)

At a price of $850 with a monthly demand of 315 gives the equation;

315 = 850m+ c  ------(2)

Subtracting eqn 2 from 1 gives;

-75 = 50m

m = -75/50

m = -3/2

Substituting m = -3/2 into equation 1;

240= -3/2(900) + c

c = 240 + 3/2(900)

c = 1590

Therefore the demand function can be given as; substituting m and c into equation 5, we have; q = -3/2p + 1590

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we would expect m to be positive.

In this case, we're considering a formula of the form y = mx + b, where y represents the cost of a four-year college x years after 2010. The variable m represents the coefficient of x, which determines the slope of the line.

Since we're discussing the cost of college, it's reasonable to expect that it generally increases over time. Therefore, we would expect the coefficient m to be positive. A positive value of m indicates that as the number of years after 2010 increases (x), the cost of college (y) will also increase.

If m were negative, it would imply a decreasing cost over time, which is less likely for a four-year college. If m were zero, it would indicate that the cost remains constant regardless of the number of years after 2010, which is also unlikely given the rising trend in college costs.

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Answer:

when x=-9, y=1

Step-by-step explanation:

the graph shows when the x is at -9, the y is at 1

The maximum APR with quarterly compounding that the borrower will accept from a lender is 16.132%.

To convert the maximum effective monthly rate of 1% into an APR with quarterly compounding, we can use the formula:

\(APR = [(1 + \dfrac{r}{n})^n - 1] \times 4\)

Where r is the effective monthly rate and n is the number of compounding periods per year. In this case, we want to find the maximum APR with quarterly compounding that the borrower will accept, so we can substitute r = 1% and n = 3:

\(APR = ((1 + \dfrac{0.01}{3})^3 - 1) \times 4\)

APR = (1.0100333³ - 1) x 4

APR = 0.04033 x 4

APR = 0.16132 or 16.132%

Therefore, the maximum APR with quarterly compounding that the borrower will accept from a lender is 16.132%.

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LOL i have the same qustion i need help!!!!!!!!!!!!!!!!!

Answer:

1. 490.6 mm²

2. 14.1 ft²

Step-by-step explanation:

1. 3.14×(12.5)²= 3.14 × 156.25 =490.6mm²

2. ½×3.14×3²= 3.14×4.5= 14.1 ft²

Answer:

Step-by-step explanation:

1. -√(4/9)

2. -0.8

3. -1/6

answer is C

Answer:

Riley ran 5 miles (26400 / 5280= 5)

Step-by-step explanation:

5280 times 5 equals 26400.

Answer:

5 miles

Step-by-step explanation:

26400/5280=5

Answer:

1. Start with the dolphin’s initial position, which is -30 feet below the surface of the water. We can use a negative sign to indicate that the dolphin is below the surface.

2. Add 23 feet to the dolphin’s position to represent her first rise. This gives us -30 + 23 = -7 feet. The dolphin is now 7 feet below the surface of the water.

3. Add another 7 feet to the dolphin’s position to represent her second rise. This gives us -7 + 7 = 0 feet. The dolphin is now at the surface of the water.

Therefore, the answer is that the dolphin is now at the surface of the water.

Answer:

72 i think

Step-by-step explanation:

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Answer:

oooh k nvm

Step-by-step explanation:

There is no proportional relationship between the two types of yarn as the cost per yard is different for each type.

To determine if there is a proportional relationship between the Number of yards and cost of each type of yarn, we calculate the cost per yard for each type of yarn.

Yarn 1 :

Cost of 4 yards = $100

Cost per yard = ($100 ÷ 4) = $25

Hence, Yarn 1 costs $25 per yard

Yarn 2 :

Cost of 5 yards = $150

Cost per yard = ($150 ÷ 5) = $30

Hence, Yarn 2 costs $30 per yard

Since, the cost per yard of each type of yarn is different, then we can conclude that there is no proportional relationship between the two types of yarn.

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Answer: simplifying expression

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

The required y-intercept of the line y = 4x - 10 is -10.

What is the intercept in the equation?

In the equation, the intercept is the value of the linear function where either of the variables is zero.

Here,

The equation y = 4x - 10 is in slope-intercept form, where the coefficient of x is the slope of the line, and the constant term is the y-intercept.

So, the y-intercept of the line y = 4x - 10 is -10. This means that the line intersects the y-axis at the point (0,-10). When x is 0, the value of y is -10, which is the y-intercept.

Thus, the required y-intercept of the line y = 4x - 10 is -10.

Answer:

x=96 and y=192

Step-by-step explanation:

x+y=288 and 2x=y

plug y in and solve for x

x+2x=288

3x=288

x=96

plug x back in and solve for y

2(96)=y

y=192

Answer:

-3.5, -3, -1, 3, 4.5

Step-by-step explanation:

Answer:

-3.5, -3, -1, 3, 4.5 because the higher the negative is, the lower the number.

The function that would have the greatest value at x = 16 include the following: B. y = x² - 17x + 182.

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

In this exercise, we would determine the corresponding output value for this function of y based on the x-value (x = 16) in simplified form as follows;

\(y = 10^{16}\)

y = 10,000,000,000,000,000.

y = x² - 17x + 182

y = 16² - 17(16) + 182

y = 256 - 272 + 182

y = 166.

\(y = 1.17^x\\\\y = 1.17^{16}\)

y = 12.330304108137675851908392069373.

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Answer:

  11, 7, 3, -1, -5

Step-by-step explanation:

The dependent variable y is often used interchangeably with the function value f(x). That is, we can usually presume that ...

  y = f(x)

__

To find f(x), put the value of x everywhere x appears in the function definition, and do the arithmetic. A calculator or spreadsheet can relieve some of the boredom of repetition. Here are a couple of examples.

  f(-2) = -4(-2) +3 = 8 +3 = 11

  f(-1) = -4(-1) +3 = 4 +3 = 7

You may notice that each increase of 1 in the value of x causes a decrease of 4 in the value of y. That means we can simply subtract 4 from the previous value of y to find the next one:

  \(\begin{array}{|c|c|}\cline{1-2}x&y\\\cline{1-2}-2&11\\\cline{1-2}-1&7\\\cline{1-2}0&3\\\cline{1-2}1&-1\\\cline{1-2}2&-5\\\cline{1-2}\end{array}\)

__

Attached is an example of this table being filled by a calculator.

-12v+6y+18

you multiply everything by -3, so -3×4v=-12v
-3×(-2y)=6y, since negative × negative=positive
-3×(-6)=18

i hope this helps :)

   399

+    32

_____

   431

   83

+  44

_____

  127

Final Result: 431 and 127.

Hi there!

Hope this helps!

\(399+32=431\)

\(44+83=127\)

Answer: 3580.50

Step-by-step explanation:

Answer:

Step-by-step explanation:

$80.5 is the right answer.

We divide 3500 by 100 and then multiply the answer to 2.3 this my answer credits to WritingRaccoon

The element of A n B is { 7, 8}

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind.

For example, if the element of P is even numbers from 1 to 20 and element of Q is factor of 6 from 1 to 20 then we can say that set Q is a subset of set P.

The sign 'n' means intersection and this means what is common to two or more set.

If set A = { 1,2,5,7,8}

set B = { 6,7,8,9}

then we can see that 7 and 8 are common to both sides, then

A n B = { 7,8}

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Explanation:

Let's replace y with 0 and solve for x.

-x+6y = 2

-x+6*0 = 2

-x + 0 = 2

-x = 2

x = -2

We have x = -2 pair up with y = 0 to get the ordered pair (x,y) = (-2,0)

This is the x intercept of the graph. It's where the line crosses the x axis. You can use a tool like Desmos or GeoGebra to confirm.

Since we have infinitely many numbers to replace x or y with, we have infinitely many solution points on this line.

Each point is of the form (-2+6k, k) where k is any real number.  If k = 0, then it leads to (-2,0) found earlier.

Answer:

167

Step-by-step explanation:

the change between 276 and 109 is 167