The length and width of a rectangle are consecutive integers. The perimeter of the rectangle is 42 inches. Find the length and width of the rectangle.

Answer:

The correct answers are:

• Option 1,

• Option 3 and

• Option 4

Step-by-step explanation:

From the two-way table, it is true that;

1.) 5 students study both French and Spanish.

2.) 30 students study French but not Spanish.

3.) 2 students study neither French nor Spanish

4.) 35 students study French

5.) 68 students study Spanish

6.) 63 students study Spanish but not French

This makes the correct answers options 1, 3 and 4

P.S: I believe your question is from the attached image

Answer:

A. 5 students study both French and Spanish.

C. 2 students study neither French nor Spanish.

D. 30 students study French, but not Spanish.

:)

Answer:

-4x(x-3)

Step-by-step explanation:

-4x^2+12x

divide by -4x

-4x(x-3)

______________________________

Note:

 - When doing problems like this, it's best to list out each formula and do the drag down method, and replace methods rather than doing it the entire mathematical way, as doing it that way takes a long time and it's more confusing than it should be.

Equation at the end of Step 1:

Note:

 - The x(d) stays the same since the 6 was positive and we plugged it in making it negative, so it doesn't need to be changed. (Another way to know if you need to change it is if the original \((d)\) or \((k)\) when plugged in, you had to put them in parenthesis then most likely it needs to be changed.

 - The y(k) changes from \(+(-6)\) to \(-6\) because when a \((+)\) and \((-)\) are next to each other, the rule is \(+<-\). The Minus always wins in this type of problem situation.

So the answer is c, \(\bold{y=\frac{3}{x-6}-6}\).

______________________________

Answer:

y=3x‒2

Step-by-step explanation:

y=3x‒2 in this equation slope is 3 cause slope is the number that is a coefficient of x.

&also the y-intercept of the equation is ‒2. y=3(0)‒2

y=0‒2=‒2

cause to find y-intercept is to substite 0 instead of x &to solve

i think &i hope the answer is clear

Answer:

y=3x-2

hope this helps mark me brainlyest

The number of papers xavier have remaining after working for 12 hours is 18

Xavier can grade 6 papers per hour, so in 12 hours he can grade:

6 papers/hour x 12 hours = 72 papers

Therefore, after working for 12 hours, Xavier would have

90 - 72 = 18 papers remaining to grade.

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Answer:

1. Equation: x/-9=-16

solution: x=144

2. Equation:15*x=-75

solution: x=-5

3.Equation:0.75n=36

solution: n=48

Step-by-step explanation:

Answer:

3/10

Step-by-step explanation:

Step-by-step explanation:

since its shifted to the left 3 units u decrease 3 units from the equation

x²+5x-1-3

g(x)=x²+5x-4

Answer:

(x-5)2+(y+7)2=4    

Step-by-step explanation:

Answer:

A. 150

Step-by-step explanation:

Calculate the probability of landing on an odd number: 1/2.

Multiply the probability by the number of trials: (1/2) * 300.

Simplify the expression: 150.

Therefore, a reasonable prediction is that the event of landing on an odd number will occur 150 times out of the 300 rolls of the fair 6-sided die.

If xn>0 for all nN, and lim (xn)=0, then lim(√(xn))=0

We know that the limit of a sequence is unique. Since lim(xn) = 0, we have that for every ε > 0, there exists an N ∈ ℕ such that for all n ≥ N, we have |xn - 0| < ε, which implies xn < ε. Now, consider the sequence √(xn). Since xn > 0 for all n ∈ ℕ, we can take the square root of both sides of the inequality xn < ε. This gives us:
√(xn) < √(ε).
Since ε > 0 can be arbitrarily small, it's clear that lim(√(xn)) = 0, as for every ε > 0, there exists an N such that for all n ≥ N, we have √(xn) < √(ε).

Given the conditions that xn > 0 for all n ∈ N and lim(xn) = 0, we have shown that lim(√(xn)) = 0.

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Answer:

9/2 or 4 1/2 or 4.5

Step-by-step explanation:

4+1/2=8/2+1/2=9/2

Answer:

es 4 1/2 creo

Step-by-step explanation:brainliest plis

Answer:

A

trust me

have a good day brainliest and 5 star please :D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Usando el interés compuesto, se encuentra que el interes obtenido es de 1609.

\(I(t) = P\left[\left(1 + \frac{r}{n}\right)^{nt} - 1\right]\)

En que:

En este problema, los parámetros son:

\(P = 9500, t = \frac{900}{365} = 2.4658, r = 0.065, n = 1\)

Por eso:

\(I(t) = P\left[\left(1 + \frac{r}{n}\right)^{nt} - 1\right]\)

\(I(2.4658) = 9500\left[\left(1 + \frac{0.065}{1}\right)^{2.4658} - 1\right]\)

\(I(2.4658) = 1609\)

El interes obtenido es de 1609.

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The interest earned on the amount is 1,595.05.

The formula for calculating the compound interest is expressed as:

A = P(1+r)^t

A = 9500(1+0.065)^2.4658

A = 9500(1.065)^2.4658

A = 11,095.05

Interest = Amount - Principal

Interest = 11,095.05 - 9500

Interest = 1,595.05

Hence the interest earned is 1,595.05.

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The Moellers had 1,500 miles remaining to reach their destination. On the first day, the Moellers drove 1/2 (or 0.5) of the 3,000 miles, which is 1,500 miles. This means they had 1,500 miles remaining to reach their destination.

On the second day, they drove 1/4 (or 0.25) of the remaining 1,500 miles, which is 375 miles. Therefore, they had 1,125 miles remaining to reach their destination after driving 1/2 on the first day and 1/4 on the second day.

Based on the given information, the Moellers drove 1/3 of the distance on the first day and 1/4 of the remaining distance on the second day. Let's calculate the remaining distance to reach their destination:

Total distance: 3,000 miles

First day: 1/3 of 3,000 miles = 1,000 miles

Remaining distance after the first day: 3,000 - 1,000 = 2,000 miles

Second day: 1/4 of 2,000 miles = 500 miles

Remaining distance after the second day: 2,000 - 500 = 1,500 miles

So, the Moellers had 1,500 miles remaining to reach their destination.

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If the variables "r" and "s" are inversely proportional and r=7 when s=6 , then when r = 10 , value of "s" will be 4.2 .

When the two variables are inversely proportional, their product is constant. That means, for two variables "r" and "s" , the it is represented in equation as :

⇒ r × s = k, where k is a constant ;

the value of variable "r" = 7 when s = 6,

First , we have to find the value of k:

⇒ k = r × s = 7 × 6 = 42 ;

So, for any value of r and s, the product "rs" will always be equal to 42.

When r = 10, we can use the equation to find s:

⇒ s = k/r = 42/10 = 4.2

Therefore , when r = 10 , the variable "s" is 4.2.

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Given parametric equations are x(t) = Ln(t) and y(t) = (Ln(t))^2. We have to graph the given parametric equations using ln restrictions without a calculator or desmos.

Here, we are going to find the value of t, which helps us to graph the given parametric equation using ln restrictions.Step-by-step explanation to find the value of t are:We have,

x(t) = Ln(t) ⇒ t = e^x(t) ....(1)y(t) = (Ln(t))^2⇒ t = e^(y(t)/2) ...

.(2)From (1) and (2),

we get e^x(t) = e^(y(t)/2)e^(2x(t)) = y(t) ...

(*)We know that the domain of ln x is (0, ∞). Let's determine the range of x(t) and y(t):From equation (1), if t → 0, then x(t) → - ∞From equation (1), if t → ∞, then x(t) → ∞From equation (2), if t → 0, then y(t) → 0From equation (2), if t → ∞, then y(t) → ∞Now,

we can graph the given parametric equations using the following steps: Assign values to t such as

t = 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, .7, 0.8, 0.9, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100

Step 2: Calculate x(t) and y(t) corresponding to t values.Step 3: Plot the points obtained in step 2.Step 4: Join all the points obtained in step 3 using a smooth curve.The graph of the given parametric equation is shown below.

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Answer:

the answer is c I pretty sure

Answer:

The length of the side of the base of the pyramid with a height of 3.2 cm is 5 cm.

Step-by-step explanation:

Let V be the fixed volume of the pyramid, and let h and s be the height and length of a side of its base, respectively. Then we have:

V = (1/3) * s^2 * h ... (1)

Also, we have:

h ∝ 1/s^2 ... (2)

We are given that s = 4 cm when h = 5 cm. Using this information, we can find the constant of proportionality k in equation (2) as follows:

5 ∝ 1/4^2

5 ∝ 1/16

k = 16 * 5 = 80

Therefore, we have:

h = k/s^2 ... (3)

Now we can use equations (1) and (3) to find the length of the side of the base when the height is 3.2 cm:

V = (1/3) * s^2 * h

V = (1/3) * s^2 * (k/s^2)

V = k/3 * s^2

We know that V is fixed, so we can set the right-hand side of this equation equal to V and solve for s:

V = k/3 * s^2

s^2 = 3V/k

s = sqrt(3V/k)

Plugging in the given values, we get:

s = sqrt(3V/80)

s = sqrt(3*V)/sqrt(80)

s = sqrt(3)/4 * sqrt(V)

Now we can use the given height of 3.2 cm to find the value of V, and then substitute it into the equation for s:

3.2 = k/s^2

s^2 = k/3.2

s = sqrt(k/3.2)

Plugging in the value of k we found earlier, we get:

s = sqrt(80/3.2)

s = sqrt(25)

s = 5

Using the substitution method the solution for the system of equations is (x, y) = (7, 6).

The given system of equations is:

2x + y = 20 ---(1)

−5y = −6x + 12 ---(2)

We can use the substitution method to solve this system of equations.

Step 1: Solve one of the equations for one of the variables in terms of the other variable.

Let's solve equation (2) for y:

−5y = −6x + 12

Divide both sides by -5:

y = (6/5)x - 12/5

Step 2: Substitute the expression we found for y into the other equation and solve for x.

Substitute (6/5)x - 12/5 for y in equation (1):

2x + (6/5)x - 12/5 = 20

Multiply both sides by 5 to get rid of the denominator:

10x + 6x - 12 = 100

Combine like terms:

16x = 112

Divide both sides by 16:

x = 7

Step 3: Substitute the value of x into one of the original equations and solve for y.

Let's use equation (2) since we already solved for y in terms of x:

−5y = −6(7) + 12

−5y = −30

Divide both sides by −5:

y = 6

Therefore, the solution for the system of equations is (x, y) = (7, 6).

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Answer:

the answer is 135 pounds

Answer:

180 - 25% = 135

Hope this helps

Answer:

i think its letter B.

I hope I help you

Answer:

I think it is A but i might be wrong.

Step-by-step explanation:

I feel this is a matter of opinion.

Answer:

example lang po

Flagpole height is 50 ft.

Explanation:

This is a ratio problem

height of object

length of shadow

Let the height of the flagpole be

x

⇒

6

3

=

x

25

x

=

6

×

25

3

=

50

f

t

The store clerk is stocking the shelves. He places on the shelf a box of cereal that weighs 850 grams, a box of granola bars that weighs 385 grams, and a box of crackers that weighs 435 grams. The total weight in kilograms is 1.67 kilograms.

Given:

The weight of the box of cereal = 850 grams.

The weight of the box of granola bars = 385 grams.

The weight of the box of crackers = 435 grams.

The total weight in kilograms of the above boxes.

Total weight of the boxes = 850 + 385 + 435 grams= 1670 grams.

To convert grams to kilograms, we divide it by 1000.

So, the weight in kilograms= 1670/1000= 1.67 kilograms.

Hence, the total weight in kilograms of the above boxes is 1.67 kilograms.

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The coordinates of the point that divides the line segment from (6, 2) to (8, -10) into a ratio of 1 to 3 are (7, -1).

To find the coordinates of the point on the directed line segment that partitions it into a ratio of 1 to 3, we can use the concept of section formula.

The section formula states that if we have two points A(x₁, y₁) and B(x₂, y₂) dividing a line segment in the ratio of m₁ : m₂, then the coordinates of the dividing point P are given by:

Px = (m₁ * x₂ + m₂ * x₁) / (m₁ + m₂)

Py = (m₁ * y₂ + m₂ * y₁) / (m₁ + m₂)

In this case, the ratio is 1:3, which means m₁ = 1 and m₂ = 3. The given points are A(6, 2) and B(8, -10). Substituting these values into the formula, we can calculate the coordinates of the dividing point P:

Px = (1 * 8 + 3 * 6) / (1 + 3) = 7

Py = (1 * -10 + 3 * 2) / (1 + 3) = -2/2 = -1

Therefore, the coordinates of the point that divides the line segment from (6, 2) to (8, -10) into a ratio of 1 to 3 are (7, -1).

To find the coordinates of the point that divides the line segment between (6, 2) and (8, -10) in a 1:3 ratio, we can use the section formula. Applying the formula, where m₁ is 1 and m₂ is 3, the point P(x, y) can be determined.

By substituting the values into the formula, the x-coordinate is calculated as (1 * 8 + 3 * 6) / (1 + 3) = 7, and the y-coordinate is (1 * -10 + 3 * 2) / (1 + 3) = -1. Thus, the coordinates of the point that partitions the line segment into a ratio of 1 to 3 are (7, -1).

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Answer:

80

Step-by-step explanation:

f(3)=4(3)^3-3(3)^2+5(3)-16

f(3)=4(3*3*3)-3(3*3)+15-16

f(3)=4(27)-3(9)+15-16

f(3)=108-27+15-16

f(3)=81+15-16

f(3)=96-16

f(3)=80

The overall viewership percentage for the specific time slot, based on households using television (HUT), is approximately 61.34%.

To determine the overall viewership percentage for a specific time slot based on the households using television (HUT), we need to calculate the percentage of households with televisions turned on during that time from all available household televisions in the entire country.

Given information: Out of every 119 televisions owned by households in the country, 73 household televisions were turned on during the time slot.

To calculate the percentage of households using television (HUT), we need to divide the number of household televisions turned on (73) by the total number of household televisions available (119).

Calculate the percentage by multiplying the result from step 2 by 100:

Percentage = (73 / 119) * 100

Use a calculator to evaluate the expression:

Percentage = 61.34 (rounded to two decimal places)

So, the overall viewership percentage for the specific time slot, based on households using television (HUT), is approximately 61.34%.

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Answer:

The point of intersection with the x axis are (-2,0) and (8,0)

Step-by-step explanation:

given circle equation x²+y² = 25

x² + y² = r²

r is the radius.

✓(25) = 5

given the center is at (3,0) and radius of 5

(3+5,0) and (3-5,0)

(8,0) and (-2,0)

(Please heart the answer if you find it helpful, it's a motivation for me to help more people)

Answer: y: height, x: time.

Step-by-step explanation:

The data we have is:

The initial position of Greyson is 75ft above the river.

He needs 1.5 seconds to hit the water, and other 0.5s tho reach the bottom of the river.

Then we have a relationship of height vs time.

The y axis will represent the heigth of Greyson, and the x-axis will represent the time, such that at the time x = 0 seconds, we have y = 75ft