Simplify
5m - 7 - 8m + 10

Answer:

\(t1 {15y08 \frac{18 \gamma \gamma }{?} }^{2} \)

Answer:

Step-by-step explanation:

Answer:

Maybe 14? This isnt really a full question I need more information.

Step-by-step explanation:

maybe 10 ? it will be good to have you back in the morning

Answer:

DE is 12

Step-by-step explanation:

all the side lengths of the first triangle are multiplied by 3 to get to the larger one so 4×3=12

The measure of angle A and angle B are 32° and 58° respectively.

The figures in the image are right-triangle.

To find the measure of angle A and B, we use the trigonometric ratio.

For angle A:

Angle θ = ?

Opposite to angle θ = 8

Hypotensue = 15

Note that: sine = opposite / hypotensue

sinθ = 8 / 15

Take th sine inverse

θ = sin⁻¹( 8/15 )

θ = 32°

Angle A = 32°

For angle B:

Angle B = ?

Adjacent to angle B = 8

Hypotensue = 15

Note that: cosine = adjacent / hypotensue

cosB = 8/15

Take th cosine inverse

B = cos⁻¹( 8/15 )

B = 58°

Therefore, angle B measures 58 degrees.

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Answer:

-20b^6-12b³

-8x⁴-20x²

-24y^8-12y⁴

Let the speed of the southbound train be x mph. then the speed of the northbound train will be x - 14 mph.

Both trains are traveling in the opposite direction and going away from each other.

The distance traveled by southbound train in 3 hours will be 3x miles. The distance traveled by southbound train will be 3(x - 14) miles.

Therefore, the sum of distance covered by both the trains will be equal to 498 miles.

Thus, the speed of the southbound train is 90 mph and the speed of the northbound train is 76 mph.

if you swim diagonally across the pool, you would be swimming for 15 meters.

A rectangle is a 2-dimensional shape with four straight sides and four right angles. It is a type of quadrilateral where opposite sides are parallel and congruent, and all angles are 90 degrees (right angles). The length of a rectangle is typically defined as the longer side, and the width is the shorter side.  

We can use the Pythagorean theorem to find the length of the diagonal:

diagonal² = width² + length²

Substituting the given values, we get:

diagonal² = 9² + 12²

diagonal² = 81 + 144

diagonal² = 225

diagonal = √(225)

diagonal = 15 meters

Therefore, if you swim diagonally across the pool, you would be swimming for 15 meters.

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Answer:

300

Step-by-step explanation:

375 divided by 5=75

Each “1”=75

4x75=300

There are 300 boys.

Hope this makes sense

Answer:

300 boys

Step-by-step explanation:

Let the number of boys = x

Girls: 375

boys : girls = 4 : 5

total in the ratio is 9

girls are 5/9 of total, and are 375

boys are 4/9 of total

5/9 x = 375

x = 375 × 9/5

x = 675

Boys are 4/9 of total.

4/9 × 675 = 300

Answer:

Proportionality constant k

When two variables are directly or indirectly proportional to each other, then their relationship can be described as y = kx or y = k/x, where k determines how the two variables are related to one another. This k is known as the constant of proportionality.

Answer: Proportionality constant k

Step-by-step explanation:

below?

Answer:

A   x < 3

Step-by-step explanation:

\(\frac{5(9-x)}{3} + 1 < 11\)

\(\frac{5(9-x)}{3} < 11 - 1\)

\(\frac{5(9-x)}{3} < 10\)

5(9-x) < 10*3

5(9-x) < 30

9-x < 30/5

9-x < 6

-x < 6 - 9

-x < -3

x < 3

Answer:

y-intercept: (0,6)

slope = -2

equation: y = -2x + 6  

Step-by-step explanation:

1) First, identify the y-intercept. The y-intercept is the point at which the line intersects the y-axis. We can see that the line crosses the y-axis at (0,6), so that must be it.

2) Now, find the slope. Pick two points from the line. I chose (0,6) and (3,0). Then, substitute the two points' x and y values into the slope formula \(m = \frac{y_2-y_1}{x_2-x_1}\)and solve:

\(m = \frac{0-6}{3-0}\\m = \frac{-6}{3}\\m = -2\)

So, the slope is -2.

3) With the found information, use the slope-intercept formula \(y = mx + b\) to write the line's equation. Substitute values for the \(m\) and \(b\).

\(m\) represents the slope, so substitute -2 in its place. \(b\) represents the y-intercept, so substitute 6 in its place. This gives the following equation:

\(y = -2x + 6\)

Radian measure of an angle is defined to be the ratio of arc length to the radius of the circle. The length of the arc if a 60 degree angle is 1.0476. Therefore, the radian of the 60 degrees angle is 1.0476.

Radian measure of an angle is defined to be the ratio of arc length to the radius of the circle.

Arc length of sector of circle = (θ/360°) × 2πr

Arc length of sector of circle = (60°/360°) × 2 × 22/7 × 1

Arc length of sector of circle = 1.0476

radian measure of angle 60° = 1.04756/1

radian measure of angle 60° = 1.04756

In conclusion, radian measure of an angle is defined to be the ratio of arc length to the radius of the circle. The length of the arc if a 60 degree angle is 1.0476. Therefore, the radian of the 60 degrees angle is 1.0476.

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Answer:

Step-by-step explanation:

f(5) = -5(5) - 2 = -25 - 2 = -27

answer is B

The ∛35 will be plotted between 3 and 4, but closer to 3 on the number line.

In basic mathematics, real numbers are shown as a fine graphic of a graduated straight line which is called a number line.

We know that 35 lies between 27 and 64 , and 27 = 3³ and 64 = 4³.

Hence the ∛35 will be plotted between 3 and 4 and since 35 is closer to 27 than 64 , therefore it will be closer to 3.

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Assuming that David sold the stock at $10 per stock today, then, we will agree that he bought the Oracle stock yesterday at a price of approximately $9.89 per share.

A share, also known as a stock or equity, is a unit of ownership in a corporation. Stock investments provide investors with returns in the form of dividends and capital gains. The higher the expected returns, the more shares an investor owns.

Let the price at which David bought each share of Oracle stock yesterday be x. Then, his total cost for buying 200 shares would be: 200x

Similarly, his total revenue for selling 200 shares at $10 per share today would be:

= 200*($10)

= $2000

His profit was $22, so we can set up the equation which is $2000 - 200x = $22.

Simplifying and solving for x, we get:

$1978 = 200x

x = $1971/200

x = $9.89.

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Answer:

yu and justin

Step-by-step explanation:

The amount of sales tax on Finnegan's purchase is $5.94

The first step is to calculate the total amount of purchase

Sweater- $29.50

Jeans- $42.50

Total amount

29.50 + 42.50

= 72

The sales tax rate is 8.25%

The amount of sales tax on the purchase can be calculated as follows

8.25/100 × 72

= 0.0825 × 72

= 5.94

Hence the sales tax on the total purchase is $5.94

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Answer:

\(52\)

Step-by-step explanation:

\(n + 94 = 32 + 114\)

\(n + 94 = 146\)

\(n = 146 - 94\)

\(n = 52\)

The solution to the transversal problem is determined using the alternate exterior angles theorem, therefore, x = 15.

The diagram shows two given alternate exterior angles, to solve this transversal problem, apply the alternate exterior angles theorem, which states that alternate exterior angles are congruent.

Thus, we have:

6x + 8 = 7x - 7

Combine like terms:

6x - 7x = -8 - 7

-x = -15

x = 15

The value of x is: 15.

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Step-by-step explanation:

so the ticket booth had $150 so $1254 -$150=$1104

so $1104 ÷ by $3 each person = to 368 people paid the admission

Had: $150

Tickets :368

Total :$1254

Answer:

p < 0.24

Step-by-step explanation:

If earning is 24% less Than predicted, this means that the we can represent the predicted earning with a variable, p

If the predicted earning = p

Then, the actual earning can be represented by the inequality ; p < 24%

p < 0.24

The parameter you are trying to estimate is the population mean hiking miles for visitors to Zion National Park.

In this scenario, you are interested in finding out the average number of miles visitors hike during their visit to Zion National Park.

The parameter you are trying to estimate is the population mean, which represents the average hiking miles for all visitors to the park. By collecting data from a sample of visitors, you can estimate this population parameter.

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Answer:

x = 43

Step-by-step explanation:

The sum of the two angles is 93

50 +x = 93

Subtract 50 from each side

50+x-50 = 93-50

x = 43

The number of weeks needed to get $850 is 21 weeks.

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe a scenario.

Let the number of weeks be represented by w

Amount saved = $24

Amount needed = $850

Number of weeks = w.

This will be illustrated as:

24 + 40w = 850

Collect like terms

40w = 850 - 24

40w = 826

Divide

w = 826 / 40

w = 20.65 = 21 approximately

There'll be 21 weeks.

The complete question is written below.

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You have saved $24 towards the purchase of your own laptop. you get a job at the corner store cleaning after hours on sundays that pays $40 per week. the laptop you want costs $850 and includes everything you'll need to start college. How may weeks are needed?

Answer:

Step-by-step explanation:

Notice that the pair of angles are inside parallels, and at different sides of the transversal. So, those angles are alternate interior angles by definition, which means they are congruent.

Therefore, the right answer is B.

Using the arrangements formula, it is found that there is a 0.0178 = 1.78% probability that all the girls are ahead of all the boys.

The number of possible arrangements of the n elements is the factorial of n, that is:

\(A_{n} = n!\)

The total number of outcomes is the arrangement of 8 elements, hence:

T = 8! = 40320

The desired number of outcomes is all-girls(5!), then all-boys(3!), hence:

D = 5! × 3! =120× 6=720

Hence, the probability is:

p = D/T =720/40320 = 0.0178

There is a 0.0178 = 1.78% probability that all the girls are ahead of all the boys.

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Answer:

y=1x+6

Step-by-step explanation:

I did y2-y1/x2-x1 then did basic addition and subtraction to figure out the slope then saw the y-intercept is +6.