How to solve for x
3x +1 =5x-5

From the resulting solution, the correct linear inequality graph is Graph C.

Given the inequality equation below:

2(2x-1)+7< 13 or -2x+5 ≤ -10.​

Simplify the expression

2(2x-1)+7< 13

Expand

4x - 2 + 7 < 13

4x + 5 < 13

4x < 13 - 5

4x < 8

x < 2

For the inequality -2x+5 ≤ -10.

-2x+5 ≤ -10

-2x  ≤ -15

x  ≥ 7.5

Hence the solution to the given system of inequalities are x < 2 and x  ≥ 7.5

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Answer:

c

Step-by-step explanation:

both of the familys have higher cost and have to stay longer

Answer:

99

Step-by-step explanation:

A 41 B is a right angle triangle =90 add 41+90 =131 then subtract angle D = 32

so 131-32 = 99 answer I hope it helps u

Answer:

.

Step-by-step explanation:

A function relating these variables is D(x) = 10 + 2x,

D(9) = 28, meaning after 9 hours of snowfall,

An independent variable is a variable that is manipulated or controlled by the researcher in an experiment to observe its effect on the dependent variable. It is the variable that is changed deliberately to see how it affects the outcome of the experiment.

The independent variable, x, represents the number of hours since snow began falling,

and the dependent variable is the total amount of snow on Jace's lawn because the amount of snow depends on the number of hours since it began to snow.

A function relating these variables is D(x) = 10 + 2x, where D(x) is the total amount of snow on Jace's lawn in inches after x hours of snowfall.

So, D(9) = 28, meaning after 9 hours of snowfall, Jace will have a total of 28 inches of snow on his lawn.

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Answer: 0.48 or 48%.

Explanation: The experimental probability of an event happening is calculated by dividing the number of times the event occurred by the total number of trials.

In this case, the total number of cones sold is 47 (pistachio) + 51 (other flavors) = 98

The number of cones with pistachio ice cream is 47.

So the experimental probability of the next cone sold having pistachio ice cream is 47/98 ≈ 0.48 or 48%

Therefore, the experimental probability that the next cone sold will have pistachio ice cream is about 0.48 or 48%.

Answer:

To solve for x, we can start by subtracting 7 from both sides of the equation:

10-1/4x = 7 -7 -7 3-1/4x = 0

Next, we can divide both sides by -1/4 to get x on its own:

3-1/4x = 0 -1/4 -1/4 x = -12

It would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

To calculate the time it would take to drive from Statesville, NC to Washington, DC, we can divide the distance of 389 miles by the average speed of 65 mph.

Time = Distance / Speed

Time = 389 miles / 65 mph

Time ≈ 5.98 hours

Therefore, it would take approximately 5.98 hours to drive from Statesville, NC to Washington, DC on interstates with an average speed of 65 mph.

To calculate the cost of driving to Washington, DC, we need to know the number of gallons of gas required for the trip. We can find this by dividing the distance by the car's mileage, which is 29 miles per gallon.

Number of gallons = Distance / Mileage

Number of gallons = 389 miles / 29 miles per gallon

Number of gallons ≈ 13.41 gallons

The cost of gas can be calculated by multiplying the number of gallons by the cost per gallon, which is $3.89.

Cost = Number of gallons * Cost per gallon

Cost ≈ 13.41 gallons * $3.89/gallon

Cost ≈ $52.18

Therefore, it would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

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Answer:

0.61 or 61%

Step-by-step explanation:

because 0.61 is just you sdding a zero and your suppose to go 2 places over therefore you would get 0.61 and 61% because 61 out of 100 would,m automatically be 61% since its not like a decimal.

Answer:

It looks like there aren't many great matches for your question

240 soldiers were transferred to the other camp. Let's assume the number of soldiers transferred to the other camp is "x." we can solve for the unknown variable representing the number of soldiers transferred.

Initially, the food provision was planned for 800 soldiers for 35 days. This means that the total food supply is equal to 800 soldiers multiplied by 35 days, which gives us a total of 28,000 soldier-days of food.

After some soldiers were transferred, the remaining soldiers had enough food to last for 50 days. So the food supply for the remaining soldiers can be calculated as the product of the number of remaining soldiers and the number of days, which gives us (800 - x) * 50 soldier-days of food.

Since the amount of food remains the same, we can set up the following equation:

\(28,000 = (800 - x) * 50\)

Now, let's solve this equation to find the value of x, representing the number of soldiers transferred to the other camp:

\(28,000 = 50 * 800 - 50x28,000 = 40,000 - 50x50x = 40,000 - 28,00050x = 12,000x = 12,000 / 50x = 240\)

By setting up the equation based on the total food supply for the initial and remaining soldiers, we can solve for the unknown variable representing the number of soldiers transferred. In this case, 240 soldiers were transferred to the other camp.

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Answer:

\( \frac{1}{2} \)

Step-by-step explanation:

slope :

\(slope \: = \: \frac{y2 - y1}{x2 - x1} = \frac{8 - 14}{ - 16 - - 4} = \frac{ - 6}{ - 12} = \frac{1}{2} \) = 0.5

Answer:

59,280

Step-by-step explanation:

the answer is base in my previous learning.. hope it helps..

If the water snake is initially 30 meters below the ground level and then climbs 20 meters upward, it will be 30 - 20 = 10 meters below the ground level. However, if it then slips down 10 meters, it will be 10 + 10 = 20 meters below the ground level.

Answer:

$223,787

Step-by-step explanation:

r = 0.02

C = 191,000

t = 8

S = 191,000 (1 + 0.02)⁸

Follow order of operations (PEMDAS).

S = 191,000 (1.02)⁸

S = 191,000 (1.171659381)

S = 223,786.9

(We want to round to the nearest dollar, which is the ones place, so ignore all digits after the tenths place.)

Rounding, S = 223,787

Using translation concepts, it is found that the graph of g(x) is a shift up of 3 units of the graph of f(x).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the functions are:

That is, the graph of g(x) is a shift up of 3 units of the graph of f(x), as shown at the end of this problem in the graph.

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Answer:

1:1.5

Step-by-step explanation:

if 10:15 when we divide both sides by 10 w get 1:1.5

Answer:

-2

Step-by-step explanation:

-12 + 20 = 8

8/-4 = -2

Answer:

-2

Step-by-step explanation:

add -12+20

20-12 = 8

Then divide by -4

8/-4 = -2

Answer:

The last one of commutative property of addition since there is no swapping of numbers related with addition.  

Nathaniel drinks 3 glasses of water in one hour.

To find out how many glasses of water Nathaniel drinks in one hour, we need to calculate his drinking rate per hour.

In 2 2/5 hours, Nathaniel drinks 4/5 of a 10-ounce glass of water.

Let's convert the mixed number of hours to an improper fraction:

\(2\frac{2}{5} = \frac{(5 \times2 + 2)}{5}\)

\(=\frac{12}{5}\)

Now, we can set up a proportion to find his drinking rate per hour.

We know that \(\frac{12}{5}\) hours corresponds to \(\frac{4}{5}\) of a glass of water.

Let's assign "x" as the number of glasses he drinks in one hour.

The proportion is then

\(\frac{(\frac{12}{5} hours) }{(x glasses) } =\frac{(\frac{4}{5} glass)}{(1 hour)}\)

Cross-multiplying gives us

\((\frac{12}{5} )\times1=\frac{4}{5}\times(x)\)

Simplifying, we get

\(\frac{12}{5} =\frac{4}{5}\times x\)

Dividing both sides by \(\frac{4}{5}\), we find x:

\(x=\frac{(\frac{12}{5} )}{\frac{4}{5} }\)

\(x=\frac{12}{4}\)

\(x = 3.\)

Therefore, Nathaniel drinks 3 glasses of water in one hour.

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he two numbers that multiply to -35 and add to get -18 are -5 and 3.

To see why, you can use the factoring method. First, find two numbers that multiply to give you -35. The factors of -35 are -1, 1, -5, and 5. So, the two numbers that multiply to -35 are either -5 and 7 or 5 and -7.

Next, find which pair of numbers adds up to -18. It's clear that 5 and -7 add up to -2, so they don't work. However, if we choose -5 and 3, we get:

-5 + 3 = -2

So, -5 and 3 are the two numbers that multiply to -35 and add to -18.

1) Since we don't know exactly how much Pam has now, and she spent y (dollars) in the carnival, we can write out the following inequality:

Note that when we divided the whole inequality by -1, we flip the sign.

So, we can conclude that She spent less than $21.4 and more than $18.60.

2) So the inequality is:

Answer:

the answer is the second

when we change them to multiplication it will be

4/5×7/3=28/15 when we covert to decimal it will be 1.86 which is above 1 so it's not the answer

27/10×5/16=0.84 which is closer to 1

47/8×8/45=1.04 which is above 1

so the answer is the second one.

The true statement about ABC and DEF is that the triangles ABC and DEF are similar triangles

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

Using the above as a guide, we have the following:

The above means that the triangles are similar triangles

Hence, the true statement about the triangles is that they are similar

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Answer: The answer is D, 5/6.

Step-by-step explanation: The reciprocal of a fraction is that fraction but the numerator and denominater swapped places.

Answer:

5/6

Step-by-step explanation:

The reciprocal is where you flip the fraction

6/5 -> reciprocal -> 5/6

I'm not sure about your answer choices tho, sorry

Answer:

The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

A random sample of 50 students is selected, and of the students questioned, 32 had their names written on their graphing calculators.

This means that \(n = 50, \pi = \frac{32}{50} = 0.64\)

99% confidence level

So \(\alpha = 0.01\), z is the value of Z that has a pvalue of \(1 - \frac{0.01}{2} = 0.995\), so \(Z = 2.575\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.64 - 2.575\sqrt{\frac{0.64*0.36}{50}} = 0.4652\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.64 + 2.575\sqrt{\frac{0.64*0.36}{50}} = 0.8148\)

The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).

Thomas' installment payment that he pays in one fortnight is approximately k523.08.

To calculate Thomas' installment payment, we need to consider the principal amount (k10,000) and the interest rate (36%).

First, let's calculate the total amount to be repaid at the end of the year, including the interest. The interest is calculated as a percentage of the principal amount:

Interest = Principal × Interest Rate

= k10,000 × 0.36

= k3,600

The total amount to be repaid is the sum of the principal and the interest:

Total Amount = Principal + Interest

= k10,000 + k3,600

= k13,600

Now, we need to calculate the number of fortnights in a year. There are 52 weeks in a year, and since each fortnight consists of two weeks, we have:

Number of Fortnights = 52 weeks / 2

= 26 fortnights

To find the installment payment for each fortnight, we divide the total amount by the number of fortnights:

Installment Payment = Total Amount / Number of Fortnights

= k13,600 / 26

≈ k523.08

Therefore, Thomas' installment payment that he pays in one fortnight is approximately k523.08.

It's important to note that this calculation assumes equal installment payments over the course of the year. Different repayment terms or additional fees may affect the actual installment amount. It's always advisable to consult with the bank or financial institution for accurate information regarding loan repayment.

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Answer:

\(13 < \sqrt{181} < 14\).

Step-by-step explanation:

We have been given an inequality ___\(< \sqrt{181} <\)___. We are asked to fill in the blank with two consecutive integers to complete the given inequality.

We know that square root of 181 is not an integer. We can see that 181 is greater than square root 169 and and square root of 196.

\(\sqrt{169} < \sqrt{181} < \sqrt{196}\)

We know that \(\sqrt{169}=13\) and \(\sqrt{196}=14\).

Therefore, our required inequality would be \(13 < \sqrt{181} < 14\)