20% of the students in the class play an instrument. If there are 35 students in class, how many play an instrument?

Answer: x=-1

Step-by-step explanation:

the x value of the vertex = -b/2a if the equation is in "ax^2+bx+c" for

you are in luck

x value of the vertex = -4/4 = -1

the line of symmetry is a vertical line, and since it must pass through the vertex

line of symmetry: x=-1

Answer:

Step-by-step explanation:

-5+8x-9=3(x+3)

8x-14=3x+9

8x-3x-14=9

5x-14=9

5x=9+14

5x=23

x=23/5

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

-216-3x=-12+6x

-216-3x-6x=-12

-216-9x=-12

9x=-216-(-12)

9x=-216+12

9x=-204

x=-204/9

x=-68/3

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

6-213-2x=-413-x

-207-2x=-413-x

-207-2x-(-x)=-413

-207-2x+x=-413

-207-x=-413

x=-207-(-413)

x=-207+413

x=206

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

-(4x+9)=2x-3(2x+3)

-4x-9=2x-6x-9

-4x-9=-4x-9

Infinitely many solutions.

Hannah is 1 year old, and Biff is 26 years old today.

Let's denote Hannah's current age as H and Biff's current age as B.

According to the given information, we can set up two equations based on the provided conditions.

Biff is 25 years older than Hannah today:

B=H+25

Four years from now, Biff will be 6 times as old as Hannah will be:

B+4=6(H+4)

Now, we have a system of two equations with two variables.

We can substitute the expression for B from the first equation into the second equation:

(H+25)+4=6(H+4)

Combine like terms:

H+29=6H+24

Subtract H from both sides:

29=5H+24

Subtract 24 from both sides:

5H=5

Divide by 5:

H=1

So, Hannah is currently 1 year old. To find Biff's age, we can use the first equation:

B=H+25

B=1+25

B=26

Therefore, Hannah is 1 year old, and Biff is 26 years old today.

Answer:

SAS Theorem

Step-by-step explanation:

It would be the SAS theorem because you know 2 sides that have an angle in common on both triangles.

Final answer:

The correct shape for the cross-section of a cone, when cut perpendicularly to its axis, is a circle. This is known as a conic section. The correct option is C.

Explanation:

The student asked which shape represents the cross-section for a cone. The cross-sectional shape of a cone depends on the angle at which it is cut. If a cone is cut by a plane perpendicular to its axis (the center line from the tip to the base), the cross-section is a circle. Therefore, the correct shape for the cross-section of a cone, when cut perpendicularly to its axis, is a circle.

Answer:

s=-4.1

Step-by-step explanation:

you just need to divide by -5 of each item

so we have -5s/-5=21.5/-5

s=-4.1

Answer:

m∠ADC=55°

Step-by-step explanation:

step 1

Find the value of x

we know that

m∠CDE+m∠EDF=180° ----> by supplementary angles (form a linear pair)

substitute the given values

[tex](2x+1)\°+(x-7)\°=180\°[/tex]

solve for x

[tex]2x+x=180+6[/tex]

[tex]3x=186[/tex]

[tex]x=62[/tex]

step 2

Find the measure of angle ∠ADC

we know that

m∠ADC=m∠EDF ----> by vertical angles

m∠EDF=(x-7)°

substitute the value of x

m∠EDF=(62-7)°=55°

therefore

m∠ADC=55°

Answer:

x<33.84

Step-by-step explanation:

13.48x - 200 < 256.12

13.48x - 200 + 200 < 256.12 + 200

13.48x < 456.12

13.48x / 13.48 < 456.12 / 13.48

x < 33.84

Answer:

b

Step-by-step explanation:

Answer:0.0009

Step-by-step explanation:

Answer:

1/6+−2/9=−1/18

Step-by-step explanation:

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(16×33)+(−29×22)=?

Complete the multiplication and the equation becomes

318+−418=?

The two fractions now have like denominators so you can add the numerators.

Then:

3+−418=−118

This fraction cannot be reduced.

Therefore:

16+−29=−118

Answer:

Rob is 76 cm tall.

Step-by-step explanation:

Let b = height of bill.

Let m = height of Mary.

Let r = height of Rob.

"the total heigh of bill mary and rob is 180 cm"

b + m + r = 180         Equation 1

"bob* is twice as tall as bill"

*I think you meant Rob is twice as tall as Bill.

r = 2b

"mary is 28 cm taller than bill"

m = b + 28

Substitue r = 2b and m = b + 28 into Equation 1.

b + b + 28 + 2b = 180

4b + 28 = 180

4b = 152

b = 38

r = 2b

r = 2(38) = 76

Rob is 76 cm tall.

Rob height is 76cm.

Given that,

According to the given data, computation of the data are as follows,

Let Bill height be X, then Rob height is 2X and Mary height is X + 28.

So, X + 2X + X + 28 = 180cm

4X = 180 - 28

X = 152 [tex]\div[/tex] 4

X = 38

Hence, Bill height = X = 38cm

Rob height = 2X = 76cm

Mary height = X + 28 = 66cm

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Answer:

B. y - 35 = 2(x - 10)

Step-by-step explanation:

The height of the plant, y, after x days could be modeled by the equation

Answer:

the answer is B

Step-by-step explanation:

Answer:

the number of candy bars they have is not affected by the other factors like the budget or the student council

Final answer:

The number of candy bars is the independent variable because it can be manipulated or changed by the student council to affect the amount of money they earn.

Explanation:

The number of candy bars is considered the independent variable in this scenario. The independent variable is the one that is manipulated or changed in an experiment, and its value does not depend on any other variable.

In this case, the student council is selling candy bars to earn money for their budget, and the number of candy bars they sell is the variable that they have control over.

By increasing or decreasing the number of candy bars sold, they can affect the amount of money they earn for their budget.

Answer:

The area below the line is shaded.

Step-by-step explanation:

Using the zero-interval test [test point (0, 0)], we plug in 0 for both y and x to determine whether we shade below the line [the portion that DOES contain the origin] or above the line [the portion that does not contain the origin]. This is where me must verify the inequality as false or true:

[tex]\displaystyle 0 < 2[0] + 1 → 0 < 1[/tex]

This is a genuine statement, therefore we shade below the line.

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Answer:

A. y=3/2x

B. y=3/2x

C. 18

Step-by-step explanation:

Answer:

B 122

Step-by-step explanation:

just thinking ur her

Answer:

Step-by-step explanation:

The general form of an equation of a line:

Ax + By + C = 0

We have

y = -3              add 3 to both sides

y + 3 = -3 + 3

y + 3 = 0

where A = 0, B = 1, C = 3

Answer:

$44.31

Step-by-step explanation:

Regular Price = $42

Sales Tax Rate = 5  1/2% or 5.5%

The total cost would be the regular price PLUS the sales tax. We find the sales tax by finding 42's 5.5%.

First, converting percentage to decimal (dividing by 100):

5.5% = 5.5/100 = 0.055

Now finding 5.5% of $42:

42 * 0.055 = $2.31

Now, the total price is the SUM of regular and this sales tax:

Total Price = 42 + 2.31 = $44.31

Answer:

£120:£30

Step-by-step explanation:

A ratio of 4:1 is also a ratio of 4x:x, as long as x is not equal to 0.

4x + x = 150

5x = 150

x = 30

4x = 4(30) = 120

4:1 = 120:30

Answer: £120:£30

Answer:

Spending will be more than $59 billion more than 4 years after 2000.

Step-by-step explanation:

Given:

[tex]y=11.3x + 13.8[/tex]

x is the number of years.

Business spending is $59 billion.

Hence we can say that y = $59.

Now Substituting the value of y in above equation we will find the value of x in number of years.

[tex]11.3x+13.8=59\\11.3x=59-13.8\\ 11.3x= 45.2\\\\x=\frac{45.2}{11.3} = 4 years.[/tex]

Hence we can say that,

After 4 years after 2000 the spending will be more than $59 billion.

or

Spending will be more than $59 billion more than 4 years after 2000.

The equation demonstrates that the spending will exceed $59 billion more than 4 years after 2000.

To solve the problem, we first need to set the equation y = 11.3x + 13.8 to greater than 59, as we are trying to find out when the spending will be more than $59 billion. The equation will therefore be, 11.3x + 13.8 > 59.

Then, we subtract 13.8 from both sides of the equation to isolate the term with x, resulting in 11.3x > 45.2.

Finally, we divide each side by 11.3 to solve for x, which will give us x > 4. Consequently, the spending will be more than $59 billion more than 4 years after 2000.

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There are about 1866 seats left to fill before the game.

Step-by-step explanation:

Number of people hold be basketball arena = 7000

Tickets bought by fans = 5134

Seats left to fill = Total capacity of arena - tickets bought by fans

Seats left to fill = [tex]7000-5134[/tex]

Seats left to fill = 1866

There are about 1866 seats left to fill before the game.

Keywords: subtraction

Learn more about subtraction at:

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Answer:

6(3 + v)

Step-by-step explanation:

Given

18 + 6v ← factor out 6 from each term

= 6(3 + v) ← in factored form

Answer:

1 2/3

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

5/3

Decimal Form:

1.6

Mixed Number Form:

1 2/3

Answer:

-4 1/3 divided by -2 3/5 equals 5/3

Answer:

The correct answer is A. 45.2

Step-by-step explanation:

1. Let's review all the information provided for solving this question:

Number of trees of the sample = 31

Number of trees of the sample with a height between 60 and 65 feet tall height = 3

Number of trees of the sample with a height between 65 and 70 feet tall height = 3

Number of trees of the sample with a height between 70 and 75 feet tall height = 8

Number of trees of the sample with a height between 75 and 80 feet tall height = 10

Number of trees of the sample with a height between 80 and 85 feet tall height = 5

Number of trees of the sample with a height between 85 and 90 feet tall height = 2

2. Let's calculate the percentage of the trees that are less than 75 feet tall:

Percentage of the trees less than 75 feet tall = [(Number of trees of the sample with a height between 60 and 65 feet tall + Number of trees of the sample with a height between 65 and 70 feet tall + Number of trees of the sample with a height between 70 and 75 feet tall)/Number of the trees of the sample] * 100

Replacing with the real values, we have:

Percentage of the trees less than 75 feet tall = [(3 + 3 + 8)/31] * 100

Percentage of the trees less than 75 feet tall = [(14)/31] * 100

Percentage of the trees less than 75 feet tall = 0.451613 * 100

Percentage of the trees less than 75 feet tall = 45.1613% = 45.2% (Rounding to one decimal place)

The correct answer is A. 45.2

Final answer:

To calculate the total movie-going cost for five friends, multiply the cost of each item by five and sum them up. The total cost is represented by the expression [tex](5 \times\$9) + (5 \times\$3) + (5 \times\$6)[/tex], which simplifies to $90.

Explanation:

The question involves writing an expression to determine the cost for five friends to attend a movie considering the cost of tickets, drinks, and popcorn. To calculate the total cost for the group, we need to know the price per individual item and the quantity consumed. We know that each ticket costs $9, each drink costs $3, and each popcorn costs $6. Since there are five friends, we will multiply each of these costs by five to get the total cost per item for the group.

The expression for the total cost for the movie tickets is [tex]5\ tickets \ \times \$9/ticket[/tex], for drinks it's [tex]5\ drinks\ \times\$3/drink[/tex], and for popcorn, it's [tex]5\ popcorns \times\$6/popcorn[/tex]. To find the overall total, we add these expressions together:

Total Cost = [tex](5 \times\$9) + (5 \times\$3) + (5 \times\$6)[/tex]

The expression simplifies to:

Total Cost = ($45) + ($15) + ($30)

Therefore, the simplified expression for the total cost is:

Total Cost = $90

Answer:

Step-by-step explanation:

47x+12y

Answer:

The speed of the pass that clocked is  30.31 yards per seconds

Step-by-step explanation:

Given as :

The speed of the pass = 62 miles per hour

Let The speed in yards per second = x yps

So, ∵ The speed = 62 miles per hour

Or, The speed = [tex]\dfrac{\textrm 62 miles}{\textrm 1 hour}[/tex]

or,  The speed = [tex]\dfrac{\textrm 62 miles}{\textrm 3600 secons}[/tex]

∵ In 1 hour = 3600 seconds

So, The speed = 0.0172 miles per second

Now, Again

Since 1 mile = 1760 yards

So, 62 miles = 1760 × 62 = 109,120 yards

∴ The speed in yard per second = [tex]\dfrac{\textrm 109,120 yard}{\textrm 3600 seconds}[/tex]

I.e The speed in yards per second = 30.31 yards per seconds

Hence The speed of the pass that clocked is  30.31 yards per seconds Answer

Answer:

0.

Step-by-step explanation:

If you take these two equations to a graphing calculator, you'll find that they are parallel. I. E. they don't intercept.

A solution to a system of equations is when they intercept, so if they don't intercept, that means no solution.

Answer: No solution

Step-by-step explanation:

Answer:

[tex]\displaystyle -16 < x[/tex]

Step-by-step explanation:

[tex]\displaystyle -4[\frac{x}{-4}] < 4[-4] → x > -16[/tex]

Whenever you divide\multiply by a negative, you reverse the inequality symbol.

** The above answer is written in reverse, which is the exact same result.

≥, ≤ → Solid Circle [●]

>, < → Blank Circle [○]

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Using the Pythagorean theorem:

L = √(15^2 - 9^2)

L = √(225 - 81)

L = √144

L = 12

The answer is 12'