Jay jogs daily for exercise. He jogs faster than 3.5 miles per hours every day. Which inequality represents jays jogging speeds s?

An equation for the total cars and trucks for dealership A is: x + y = 164.

An equation for the total cars and trucks for dealership B is: 2x + 0.5y = 229.

The number of cars that dealership A sold is: 98 cars.

The number of trucks that dealership B sold is: 66 trucks.

In order to write a system of linear equations to describe this situation, we would assign variables to the number of cars sold and number of trucks sold, and then translate the word problem into an algebraic equation as follows:

Since the first dealership sold a total of 164 cars and trucks, a linear equation to model this situation is given by;

x + y = 164.

Additionally, the second dealership sold twice as many cars and half as many trucks as the first dealership, with a total of 229 cars and trucks;

2x + 0.5y = 229.

By solving the systems of linear equations simultaneously, we have:

2x + 0.5(164 - x) = 229

1.5x + 82 = 229

x = 98 cars.

For the y-value, we have;

2(98) + 0.5y = 229

0.5y = 229 - 196

y = 33/0.5

y = 66 trucks.

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Answer:

a = 3

Hope this helps :)

Explanation and Check part below.

Step-by-step explanation:

1. Isolate the variable by doing the inverse operation which is in this case subtracting 2 on both sides of the equation.

a + 2 = 5

- 2 - 2

a = 3

Check:

1. Substitute a with the solution 3.

3 + 2 = 5

5 = 5 ✓

Answer:

long = 8.66

Step-by-step explanation:

pythagorean theorem

short squared + long squared = hypotenuse squared

25 + long squared = 100

long squared = 75

square root of long squared = square root of 75

long = square root of 75

long = 8.66025403784

Answer:

1,208.92613

Step-by-step explanation:

this is the answer

Answer:

-7

Step-by-step explanation:

slope = y2-y1/x2-x1

(10-(-4))/(1-3)

14/-2 = -7

Answer:

-7

Step-by-step explanation:

(Y2-y1)/(x2-x1)

(10-(-4))/1-3

(10+4)/-2

14/-2

-7

Answer:

D: 6

Step-by-step explanation:

We know that the triangle is a right triangle

We can halve each of the sides

20/2 = 10

16/2 = 8

Pythagoream Theorem: A^2 + B^2 = C^2

C= 10

A= 8

10^2 - 8^2 = B^2

100 - 64 = 36

B^2 = 36

B = 6

According to the properties of the standard normal distribution, approximately 99.7% of the values lie within three standard deviations of the mean. Therefore, the answer is 99.7%.

To determine the percentage of videos on the streaming site that are between 264 and 489 seconds, we need to calculate the area under the normal curve within that range. Since the distribution is approximately normal with a mean of 264 seconds and a standard deviation of 75 seconds, we can use the properties of the standard normal distribution to find the desired percentage.

First, we need to convert the values 264 and 489 to z-scores, which represent the number of standard deviations a particular value is away from the mean. The z-score formula is given by:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get:

z1 = (264 - 264) / 75 = 0

z2 = (489 - 264) / 75 = 3

Next, we can use a standard normal distribution table or a calculator to find the area under the curve between z = 0 and z = 3. The area represents the percentage of videos falling within that range. The answer is 99.7% .

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Answer:

x = -3

y = -2

(-3, -2)

Step-by-step explanation:

x - 7y = 11

5x + 4y = -23

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

-5 (x - 7y = 11)

-5x + 35y = -55

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

-5x + 35y = -55

5x + 4y = -23

       39y = -78

     ÷39     ÷39

        y = -2

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

x - 7y = 11

x -7(-2) = 11

x + 14 = 11

   -14    -14

x = -3

I hope this helps!

Answer

31 7/8

Step-by-step explanation:

12 3/4 x 2 1/2=51/4 x 5/2

Answer:

Step-by-step explanation:

a) the points (0,60)  and (6.0) are the intercept points for the graph of the car slowing down ( accelerating in the opposite direction than it's traveling)

we already know the slope of the line b/c that the rate at which it's slowing .. -10 =m  which is the slope of the line .. down 10

use the point-slope formula  y-y1 = m(x-x1) and plug in either given point for (x1,y1)

b) y -60 = -10(x-0)

y= -10x+60

thats the slope-intercept form of the equation

Answer:

\((0,60) = = > the \: vertical \: displacement \: of \: the \: automobile (y-intercept) \\ (6,0) = = > the \: horizontal \: displacement \: of \: the \: automobile (x-intercept) \\ equation \\ y = mx + c \\note = > m = \frac{(0 - 60)}{(6 - 0)} \\ m = - 10 \\ consider \: point \: (6,0) \\ from \: y = mx + c \\ substitute \: for \: y \: and \: x \\ 0 = (m)(6) + c \\ 0 = ( - 10 \times 6) + c \\ 0 = - 60 + c \\ c = 60 \\ substitute \: for \: c \: in \: y = mx + c \\ y = - 10x +60 \\ 10y = - x + 6\)

Answer: - 21/16 = 15/16 (simplified)

= - 1.3125 convert decimal to fraction

= - 13125/10000

= - 21/16 = 15/16  (simplified)

The number of gallons is 4.1

From the information given, we have that;

1 gallon of paint is equivalent to 150 square feet

Since we have 2 doors, the area of a rectangular prism is

Area = lw

Area =20(15)

Area = 300 (2) = 600 ft²

For the window, we have;

Area = 3(5) = 15

The total area of the wall is;

Total area = 615 ft²

Then, if;

1 gallon = 150 square feet

x = 615  square feet

cross multiply

x = 4. 1 gallons

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Answer:

A

Step-by-step explanation:

To simplify the expression 3 11 5 ÷ 3 − 9 5, let's break it down step by step:

First, let's simplify the division 3 11 5 ÷ 3:

3 11 5 ÷ 3 = (3 × 115) ÷ 3 = 345 ÷ 3 = 115.

Next, let's subtract 9 5 from the result we obtained:

115 - 9 5 = 115 - (9 × 5) = 115 - 45 = 70.

Therefore, the simplified expression is 70.

The correct answer is A. 70.

Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

Answer:

4021/68 = 59.13

Step-by-step explanation:

Hope this helps you out!!!

Answer: 59.1323529412

Step-by-step explanation:

Answer:

slope intercept form: y= -6x+3

point slope form: y-0= -6(x -1/2)

Step-by-step explanation:

point slope form: y - y1 = m(x - x1)

substitute the values  y-0=-6(x-1/2)

slope intercept form:

find the slope using two given points

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

= (3 - 0) / (0 - 1/2)

= 3 / (-1/2)

= -6

substitute into equation

y= -6x+3

In this problem

the fractions have different denominators, which makes it difficult to compare

so

Find out an equivalent fraction for each student

2/3 ----> multiply by 4/4 ----> (2/3)*(4/4)=8/12

11/12

5/6 ---> multiply by 2/2 ----> (5/6)*(2/2)=10/12

7/12

Now, all the fractions have the same denominator

therefore

The fastest boy's time is 7/12

The slowest boy's time is 11/12

Find out the difference

(11/12)-(7/12)=5/12 minutes

The difference is 5/12 minutes

Part 2

The fastest boy's time is 7/12

7/12 < 2 7/12

that means

the boys broke the record

Find out the difference

2 7/12-7/12

Remember that

2 7/12=2+7/12

so

2+7/12-7/12=2 minutes

Is much faster by 2 minutes

Answer:

B. x is less than or equal to 5

Step-by-step explanation:

The dot is on 5 and is also a solid dot which means it is less than or equal to or greater than or equal to

In this case it is less than or equal to because the line goes to the left

Hope this helped!

The smallest positive debt that can be paid off using sticker trading is $7$ dollars.

To find the smallest positive debt that can be paid off using sticker trading, we need to consider the values of the stickers (in dollars) and find the smallest positive amount that can be reached through a combination of these values.

Given that a Harry Potter sticker is worth $49 and a Twilight sticker is worth $35, we can approach this problem using the concept of the greatest common divisor (GCD) of these two values.

The GCD of $49$ and $35$ is $7$. This means that any multiple of the GCD can be represented using these sticker values.

In other words, any positive multiple of $7$ dollars can be paid off using sticker trading.

Therefore, the smallest positive debt that can be paid off using sticker trading is $7$ dollars.

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Answer:

074°

Step-by-step explanation:

the bearing of Y from X is the measure of the angle from the north line (N) at X in a clockwise direction to Y , that is ∠ NXY

∠ NXY = 180° - 106° = 74°

the 3- figure bearing of Y from X is 074°

Check the picture below.

so let's recall that the area of a circle is just πr² where r = radius, so since the sizes of each pizza are 10, 14, 18 and 22, that's simply their diameter, so that means they each have a radius half of that, or namely 5, 7, 9 and 11, as you see in the picture, so, hmmm which radius gives us the most area per the fraction provided, namely per slices provided?

\(\cfrac{4}{8}\pi 5^2\implies \cfrac{25\pi }{2} ~~ \approx ~~ 39.26~in^2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{3}{8}\pi 7^2\implies \cfrac{147\pi }{8} ~~ \approx ~~ 57.73~in^2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{2}{8}\pi 9^2\implies \cfrac{81\pi }{4}~~ \approx ~~ 63.62~in^2 ~~ \textit{\LARGE \checkmark} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{8}\pi 11^2\implies \cfrac{121\pi }{8}~~ \approx ~~ 47.52~in^2\)

Answer: Large

Step-by-step explanation:  Hope it helps Good luck!!!

Answer:

(68.58,71.82)

Step-by-step explanation:

The Cookie Shop's profit at the end of January as a result of the 20% decrease was $12000.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let s represent the Cookie Shop's profit at the end of January. At the end of January, their profit had decreased by 20%:

Percentage decrease = 20% of 15000 = $3000

s = 15000 - 3000 = 12000

The Cookie Shop's profit at the end of January as a result of the 20% decrease was $12000.

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Im not sure about the second one but the first one is 1099-DIV and the last one is taxable income. I can tell you the second one is NOT deductions haha

Answer:

1099-DIV

Income

Taxable Income

Step-by-step explanation:

Plato

A store sells 5 oranges and 10 apples.

What is the cost amount?

The cost of an asset to you often serves as its basis. The cost is the sum that you pay for it using money, debt, other goods, or services. Sales tax and other purchase-related costs are included in the price.

Here, we have

Given: A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25.

We have to determine how many of each type of fruit were sold.

We, let the oranges be x.

let the apples be y.

x + y = 15...(1)

1x + 2y = 25...(2)

We subtract equation(2) from equation(1), we get

y = 10

Now we put the value of y in equation (1) and we get

x + 10 = 15

x= 5

Hence, a store sells 5 oranges and 10 apples.

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The graph of the function y = 5|x - 4| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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Answer:

D. \( = \frac{b}{a} \)

Step-by-step explanation:

Given:

\( \frac{b^{-2}}{ab^{-3}} \)

Required:

Assuming a ≠ 0, b ≠ 0, find the expression equivalent to the given expression.

SOLUTION:

\( \frac{b^{-2}}{ab^{-3}} \)

Recall the exponent rule =>  \( \frac{x^{a}}{x^{b}} = x^{a - b} \)

Applying the exponent rule, we would have:

\( \frac{b^{-2 -(-3)}}{a} \)

\( = \frac{b^{-2 + 3}}{a} \)

\( = \frac{b^{1}}{a} \)

\( = \frac{b}{a} \)

Thus, the equivalent expression of \( \frac{b^{-2}}{ab^{-3}} \) = \( \frac{b}{a} \)

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation: The question is missing the key part. In the book it say the total sell copies profit is $1200.

So 1200 / 4 = 300.

The number of copies Barry sold of Return of the Dinosaurs is 300 copies.

Given that, Barry charged $4 for each copy of Return of the Dinosaurs.

A bar graph is a graph that shows complete data with rectangular bars and the heights of bars are proportional to the values that they represent. The bars in the graph can be shown vertically or horizontally. Bar graphs are also known as bar charts and it is a pictorial representation of grouped data.

From the given bar graph, Return of the Dinosaurs shows $1200 total sales

Number of copies = Total sales/Cost of each copy

= 1200/4

= 300 copies

Hence, the number of copies Barry sold of Return of the Dinosaurs is 300 copies.

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