A rectangular note card has an area of 28 square inches. Its perimeter is 22 inches. What are the dimensions of the note card?

division property would help you solve this inequality

Answer:

If 300 lunches were served, then 90 students choose milk.

Step-by-step explanation:

The graph shows that 30% of students choose milk. So when 300 lunches are served, 300*.30 students choose milk. 300*.3 or 300*30% is equal to 90.

The answer for this question is the first option "if 300 lunches were served then 90 students would have milk".

A) If 300 lunches were served then 90 would chose milk as milk is represented and shown to have a popularity of 30%. 30% of 300 is equivalent to 90 making the statement true

B) If 200 lunches were served then 90 would choose milk however this is false as milk at 30% as votes and 30% of 200 is not 90

C) if if 300 lunches were served then 30 more students would chose water over juice however water has a population of 40% and 40% of 300 is 120 and juice has a population of 10% and 10% of 300 is 30 and 120-30=90 not 30.

D) if 200 lunches were served than 10 more students would choose tea over juice. Tea has a population of 20% and 20% of the 200 is 40 and juice has a population of 10% and 10% of 200 is 20 and 40-20=20 not 10

The only correct statement is If 300 lunches were served then 90 would chose milk.

Answer:

v = -1

Step-by-step explanation:

Solve for v:

7 v = 8 v + 1

Subtract 8 v from both sides:

7 v - 8 v = (8 v - 8 v) + 1

7 v - 8 v = -v:

-v = (8 v - 8 v) + 1

8 v - 8 v = 0:

-v = 1

Divide both sides by -1:

Answer:  v = -1

Answer:

The percentage increase in the cost of her car insurance is 260.4%

Step-by-step explanation:

First, we are going to find by how much the insurance increased:

We know that this year she pays £883 and the last year she paid £245, so

insurance increase = £883 - £245

insurance increase = £638

Now, we are going to find what percentage of the last year price is the insurance increase. So, to find the percentage increase in the cost of the car insurance, we need to divide the insurance increase by the last year price and multiply the result by 100%

percentage increase = [tex](\frac{638}{245} )[/tex](100%)

percentage increase = (2.604)(100%)

percentage increase = 260.4%

We can conclude that Jo's car insurance cost increased 260.4%

Answer:   [tex]\bold{\sqrt[4]{2} }[/tex]

Step-by-step explanation:

[tex]\dfrac{1}{2}\sqrt[4]{32} =\dfrac{1}{2}\sqrt[4]{2\cdot 2\cdot 2\cdot 2\cdot 2}=\dfrac{1}{2}\cdot 2\sqrt[4]{2}=\boxed{\sqrt[4]{2} }[/tex]

Answer:

621

Step-by-step explanation:

Use PEMDAS.

15 + 100 * [12 - 6] + 6

15 + 100 * 6 + 6

15 + 600 + 6

621

Answer:

[tex]\boxed{\bold{621}}[/tex]

Step By Step Explanation:

Follow PEMDAS Order Of Operations

[tex]\bold{12-\left(12-3\cdot \:2\right): \ 6}[/tex]

[tex]\bold{15+100\cdot \:6+6}[/tex]

[tex]\bold{100\cdot \:6: \ 600}[/tex]

[tex]\bold{15+600+6}[/tex]

[tex]\bold{15+600+6: \ 621}[/tex]

[tex]\bold{621}[/tex]

Answer:

Part a) In the procedure

Part b) Line A and Line B are different parallel lines

Step-by-step explanation:

Part a) we have

[tex]3x-6y=-12[/tex] ----> equation A

[tex]x-2y=-8[/tex] ----> equation B

Isolate the variable x in the equation B

[tex]x=2y-8[/tex]

Substitute the value of x in the equation A

[tex]3(2y-8)-6y=-12[/tex]

[tex]6y-24-6y=-12[/tex]

[tex]-24=-12[/tex] ------> is not true

therefore

The system of equations has no solutions

Part b) What do you know about the two lines in this system of equations?

[tex]3x-6y=-12[/tex] ------> equation A

isolate the variable y

[tex]6y=3x+12[/tex]

[tex]y=(1/2)x+2[/tex]

[tex]x-2y=-8[/tex] -------> equation B

isolate the variable y

[tex]2y=x+8[/tex]

[tex]y=(1/2)x+4[/tex]

Line A and Line B are parallel lines, because their slopes are the same

Line A and Line B are different lines because their y-intercept is not the same

Answer:

x^2+x-6

Step-by-step explanation:

We just find the factored form of the equation which would be (x+3)(x-2).

Then we multiply it out to get x^2+x-6

Step-by-step explanation:

6 units.

(3*2)+2x=3x

Set the perimeter equal to the area

x(length)=6 units

Answer:

Choices A and C

Step-by-step explanation:

Answer:

A, C

Step-by-step explanation:

We can see in the graph that it is done by ticks of 1/10s

Therefore we can determine that point A is on 1.6.

Since 1.6 > 1.27, this is true.

1 one and 7 hundreths is 1.07

And since 1.07 < 1.27, this is not true.

Finally 27 tenths is the equivalent of 2.7

2.7 > 1.27 so this is true.

A) You would use the two points that are closest to the graphed line

(2,7) and (8,13)

B) Slope = change in Y over the change in X:

Slope = (13-7) / (8-2) = 6/6 = 1

Slope = 1

c) Point slope is written as y -y1 = m(x-x1) where m is the slope y1 is the first Y value and x1 is the first x value.

Equation is: y-7 = x-2

d) To rewrite y -7 = x-2 in slope intercept form, you need to isolate y.

To isolate Y add 7 to both sides:

y = x +5

Step a is (2,7)/(8,13).

Step b is 1

Step c is y-7 = x-2

Step d is y = x +5

Final answer:

To determine how many more minutes the water can continue to flow into the pool before it overflows, we need to find the value of m that satisfies the inequality 598 + x*m <= 850. The inequality can be rearranged to m >= (850 - 598) / x.

Explanation:

To answer this question, we need to set up an inequality to represent the situation. Let m represent the number of minutes the water can continue to flow into the pool before it overflows.

The pool can hold up to 850 gallons of water, and it currently has 598 gallons. If water is being filled at a certain rate, we can express the rate as gallons per minute. Let's say the rate is x gallons per minute.

So, in m minutes, the pool will have 598 + x*m gallons. To determine how many more minutes the water can continue to flow before it overflows, we need to find the value of m that satisfies the inequality 598 + x*m <= 850.

Now, we can solve this inequality for m by rearranging it: m >= (850 - 598) / x.

This means that water can continue to flow into the pool for m minutes as long as m is greater than or equal to (850 - 598) / x.

To determine how many more minutes water can be added to the pool before it overflows, subtract the current amount of water from the pool's capacity and set up an inequality with the rate of filling. Solve the inequality for the time, represented by 'm', to find the answer.

The student's question relates to finding out for how many more minutes, m, can water be added to a pool before it reaches its full capacity, using an inequality.

Firstly, we need to identify the amount of water the pool can still hold. The pool's total capacity is 850 gallons, and it already contains 598 gallons. Subtracting the current amount from the total capacity gives us the volume that can still be filled:

850 gallons - 598 gallons = 252 gallons

Next, we need to know the rate at which the pool is being filled. Since the rate isn't given in the student's question, let's assume the pool is being filled at the rate of R gallons per minute. We can then set up an inequality to represent the condition that the pool should not overflow:

252 gallons >= R * m

Where m is the number of minutes the water can continue to flow. Dividing both sides by R gives us:

m <= 252 gallons / R

This inequality can be used to solve for m once the actual rate (R) is known. To find the value of m, simply plug in the value of R and calculate.

Answer:

7

Step-by-step explanation:

Since both chords are congruent and the distance of the x and 7 are equidistant from the center, then the value of x will also be 7.

Left side chord will have a value of y + 10

The right side chord will have a value of y + 10

Now since the right angles on both sides are equal, then x = 7.

The value of x is 7.....

[tex]\bold{Hey\ there!} \\ \\ \bold{Combine\ like\ terms\downarrow} \\ \bullet\bold{35x\ \&\ 10x} \\ \bold{35x+10x=45x} \\ \\ \bold{Since,\ -5\ doesn't\ have\ any\ like\ terms\ it\ stays\ the\ same!} \\ \\ \\ \boxed{\boxed{\bold{Answer:45x-5}}}\checkmark[/tex]

[tex]\bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ day!} \\ \\ \\ \\ \\ \frak{LoveYourselfFirst:)}[/tex]

no, the angles in triangles have to add up to 180 deg. but this adds up to 190

Answer:

C. 8x+80.

Step-by-step explanation:

To make this a simple expression, we need to distribute the 8 into x+10. We do this by multiplication. 8*x=8x. 8*10=80. Our new equation is 8x+80.

Answer:

10 -6x

Step-by-step explanation:

We cannot solve since there is no equal sign, we can only simplify

(-3 + 5) - (6x - 8)

Combine the like terms in parentheses

(2) - (6x - 8)

Distribute the minus sign

2 -6x --8

2 -6x +8

Combine like terms

2+8 -6x

10 -6x

set it equal to 0

(-3+5)-(6x-8)=0

2-6x+8=0

isolate x

-6x=-2-8

-6x=-10

cancel negatives

6x=10

divide by 6

x= 10/6

reduce:

x = 5/3

Answer:

Which of what following? There's no options.

Step-by-step explanation:

Answer: Last option.

Step-by-step explanation:

To find the inverse of the function f(x), you must follow the proccedure shown below:

- Rewrite the function,as following:

[tex]y=4x+12[/tex]

- Solve for x. Then:

[tex]y-12=4x\\x=\frac{1}{4}y-\frac{12}{4}\\\\x=\frac{1}{4}y-3[/tex]

- Now, substitute y with x.

Therefore, you obtain that the inverse function g(x) is the following:

[tex]g(x)=\frac{1}{4}x-3[/tex]

Then, the answer is the last option.

Answer:

Last choice is the answer.

Step-by-step explanation:

We have given a function.

f(x) = 4x+12

We have to find the inverse of given function.

Let y  = f(x)

y = 4x+12

Solving for x, we have

x = 1/4y-3

Since, x =  f⁻¹(y)

 f⁻¹(y) =  1/4y-3

Replacing y with x , we have

f⁻¹(x) = 1/4x-3

Given that g(x) = f⁻¹(x)

g(x) = 1/4x-3 which is the answer.

Answer:

10

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

here [ a, b ] = [1, 4 ]

f(b) = f(4) = 4² +5(4) = 16 + 20 = 36

f(a) = f(1) = 1² + 5(1) = 1 + 5 = 6, hence

average rate of change = [tex]\frac{36-6}{4-1}[/tex] = [tex]\frac{30}{3}[/tex] = 10

Final Answer:

The exact value of [tex]\(\tan\left(\frac{-x}{3}\right)\)[/tex] is [tex]\(-\tan\left(\frac{x}{3}\right)\).[/tex]

Explanation:

To find the exact value of [tex]\(\tan\left(\frac{-x}{3}\right)\),[/tex] we can use the periodicity property of the tangent function. The tangent function has a period of [tex]\(\pi\),[/tex] which means that [tex]\(\tan(\theta) = \tan(\theta + \pi)\)[/tex].

Therefore, [tex]\(\tan\left(\frac{-x}{3}\right)\)[/tex] is equivalent to [tex]\(\tan\left(\frac{-x}{3} + \pi\)\).[/tex] Additionally, the tangent function is an odd function, so [tex]\(\tan(-\theta) = -\tan(\theta)\). Combining these properties, we get \(\tan\left(\frac{-x}{3}\right) = -\tan\left(\frac{x}{3}\right)\).[/tex]

In summary, the exact value of [tex]\(\tan\left(\frac{-x}{3}\right)\) is \(-\tan\left(\frac{x}{3}\right)\)[/tex] due to the periodicity and odd function properties of the tangent function.

Answer:

The system  that represent the scenario is

[tex]x+y\leq500[/tex]

[tex]215x+615y\leq 187,500[/tex]

The solution in the attached figure

Step-by-step explanation:

Let

x-----> the acres of corn

y----> the acres of cotton

we know that

[tex]x+y\leq500[/tex] ------> inequality A

[tex]215x+615y\leq 187,500[/tex] -----> inequality B

using a graphing tool

the solution is the shaded area in the attached figure

Answer:

Just took the test test it is A 100%

Step-by-step explanation:

The relationship between the two triangles can be described as ΔMLN ~ ΔFGH by the third angle theorem, ∠M ≅ ∠F, ∠L ≅ ∠G, and ∠N ≅ ∠H.

Given two triangles.

The triangles are named as LMN and FGH.

Also, two of the angles of each triangle is given.

For triangle LMN,

∠L = 36° and ∠M = 51°

Similarly, for triangle FGH,

∠G = 36° and ∠F = 51°

So, for both triangles,

∠L = 36° = ∠G

∠M = 51° = ∠F

Using the angle sum property of triangles,

∠N = ∠H = 180° -(36° + 51°) = 93°

That is, all three angles of triangle LMN is equal to triangle FGH.

So, by the third angle theorem, ΔMLN is similar to ΔFGH.

Hence, the correct option is A.

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Answer:

D

Step-by-step explanation:

Formula

V = 4/3 * pi * r^3

Givens

pi = 3.14

r = 6

Solution

V = (4/3) * 3.14 * 6^3           Expand the cube

V = (4/3) * 3.14 * 216           Multiply by 3.14

V = (4/3) * 678.24               Multiply by 4

V = 2712.96 / 3                   Divide by 3

V = 904.32

Answer: 30-40-50, or B

Step-by-step explanation:

Think of this equation of a right triangle. We know that the hypotenuse is 50 feet and leaning.

Since right triangles follow a formula is 3-4-5, then, 30, 40 and 50 is the answer.

If the 50-foot ladder is leaning against a wall. Statement B about the base of the ladder is true.

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

It is given that, a 50-foot ladder is leaning against a wall.

Lines that intersect at a right angle are named perpendicular lines. Lines that are always the same distance apart from each other are known as parallel lines.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

The hypotenuse is 50 feet long and slopes, as is known.

Since right triangles have a formula of 3-4-5, the correct response is 30, 40, and 50.

Thus, if the 50-foot ladder is leaning against a wall. Statement B about the base of the ladder is true.

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Answer:

Step-by-step explanation:

1/4x20=5 so Maria ate 5 slices of pizza.

Answer:

(x+2)(3x+1)

Step-by-step explanation:

the factored form of the quadratic expression 3x² + 7x + 2 is (3x + 1)(x + 2).

To factor the quadratic expression 3x² + 7x + 2, you can use the factoring method or apply the quadratic formula. Let's use the factoring method:

1. Look for two numbers that multiply to give the product of the coefficient of x² (which is 3) and the constant term (which is 2). These numbers should also add up to the coefficient of x (which is 7).

The two numbers that meet these conditions are 1 and 6. They multiply to give 6, and they add up to 7.

2. Rewrite the quadratic expression using the two numbers found in step 1:

3x² + 1x + 6x + 2

3. Group the terms in pairs and factor out the greatest common factor from each pair:

x(3x + 1) + 2(3x + 1)

4. Notice that both pairs have a common factor of (3x + 1). Factor out this common binomial:

(3x + 1)(x + 2)

So, the factored form of the quadratic expression 3x² + 7x + 2 is (3x + 1)(x + 2).

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So add them up you get

2y-2=0

2y=2

y=1

x=7/2

Answer:

the answer is 2y=2 the dude above me is right.

he spent 15 mins for lunch. I wish you used a comma for 3, 70 min classes lol. tripped me up a sec

Final answer:

Bennett spent 20 minutes eating lunch, which was calculated by subtracting the time he spent in classes and during breaks from his total time at school.

Explanation:

To determine how long Bennett spent eating lunch, we need to subtract the time he spent attending classes and the breaks between classes from the total time he was at school. Bennett attended 3 classes, each lasting 70 minutes, so the total class time is 3 classes × 70 minutes/class = 210 minutes. There are 2 breaks between classes, each lasting 5 minutes, adding up to 2 breaks × 5 minutes/break = 10 minutes.

Total time spent on classes and breaks is 210 minutes + 10 minutes = 220 minutes or 3 hours and 40 minutes. Since Bennett was at school for 4 hours (or 240 minutes), the time spent eating lunch can be calculated by subtracting the class and break time from the total time at school: 240 minutes - 220 minutes = 20 minutes.

Therefore, Bennett spent 20 minutes eating lunch.