The length of a rectangle garden is represented by 3x - 4 and the width is represented by 2x - 5. Which of the following represents the total area of the garden?

Answer:

130 is close to 128, so 128 is a reasonable answer.

Step-by-step explanation:

Consider the provided information.

We need to Use the estimation to check weather 128 is a reasonable answer in the example above:

p=200-72

Round to the nearest ten:             p = 200 - 70

Subtract the rounded numbers:   200-70=130

130 is close to 128, so 128 is a reasonable answer.

Answer:

y=x+4

Step-by-step explanation:

x-y=-5

y=x-(-5)

y=x+5

-----------

y-y1=m(x-x1)

y-1=1(x-(-3))

y-1=x+3

y=x+3+1

y=x+4

Answer:

Step-by-step explanation:

(8,-3),(8,4)

since both points have the same x value, this means you have a vertical line with an undefined slope...so ur equation would be x = 8....because no matter what y is, x will always be 8

Answer:

There was 10° F change in temperature in Fairbanks, Alaska.

Step-by-step explanation:

Given:

Temperature change from = -1° F.

Temperature change to = 9° F

We need to find the change in temperature.

Change in temperature can be calculated by subtracting Temperature change from with Temperature change to.

Framing in equation form we get;

Change in temperature = Temperature change to - Temperature change from

Substituting the values we get;

Change in temperature = [tex]9-(-1)= 9+1=10\° F[/tex]

Hence There was 10° F change in temperature in Fairbanks, Alaska.

Answer:

solve using long division.

75/4

what is the largest whole number smaller than 75 that 4 can go into?

72.

how many times can 4 go into 72?

18.

so then subtract 72 from 75 to get 3.

the new equation is

3/4

how many times can 3 go into 4?

0.75 times.

so add the 2 answers to get

18.75

4 can go into 75 18.75 times.

To determine how many times 4 can go into 75, you divide 75 by 4. The result is 18 with a remainder of 3. Thus, 4 can go into 75 a total of 18 full times.

To find out how many times 4 can go into 75, we need to perform a division. Specifically, we need to divide 75 by 4.

This means that 4 goes into 75 exactly 18 times with a remainder of 3. So, 4 fully fits into 75 for 18 full times.

Answer:

28 - 7x =< 28x + 28

28 - 35x =< 28

-35x =< 0

x >= 0

the answer is the fourth one

x is greater than or equal to 0

Answer:

$25.24

Step-by-step explanation:

If Tim earns $45.19 each month multiply by 3 which gives you $135.57 take $211.29 subtract $135.57, you get $75.72 which is the total amount that Tom needs to give. Divide that by 3 and get $25.64 which is the amount Tom needs in 3 months.

$45.19 x 3 = $135.57

$211.29 - $135.57 = $75.72

$75.72/3 = $25.24

The similarity ratio of the two octagons, given their areas, is 2:1. This is determined by taking the square root of the ratio of their areas.

The question is about finding the similarity ratio of two similar octagons with given areas. The area of a shape increases by the square of the scale factor (similarity ratio). Hence, in this case, where the larger octagon has four times the area of the smaller, the scale factor (similarity ratio) is the square root of 4, which is 2. So, the similarity ratio of the two octagons is 2:1.

https://brainly.com/question/822659

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Answer:

y-6=1/2(x-4)

Step-by-step explanation:

y-y1=m(x-x1)

y-6=1/2(x-4)

Answer: The information you are given shows that 15% = 30. Multiply 30 by 6 and 2/3 (The number of times 15 goes into 100) and you have your answer. There are 200 people on the beach.

Final answer:

To find the total number of people at the beach when 15% do not wear sunscreen and 30 people represent that 15%, we divide 30 by 0.15 to get 200, meaning there are 200 people on the beach.

Explanation:

The student asked: "If 15% of people on the beach do not wear sunscreen, and 30 people don't wear sunscreen, what is the total number of people at the beach?" To find the total number of people at the beach, we need to calculate it based on the percentage of people who do not wear sunscreen.

Therefore, the total number of people at the beach is 200.

Answer:

30

Step-by-step explanation:

2m+180=8m

180=8m-2m

180=6m

m=180/6

m=30

Because the two lines are not parallel, we conclude that the system will have a solution.

Remember that the solution of a system of equations is the point where the graphs of the functions intersect.

In this case we have two linear functions:

f = 2m + 180

f = 8m

Notice that the slopes are different, this means that the lines are not parallel, and because of that, we know that the lines will intersect at some point. That is enough to know that the system has a solution.

If you want to learn more about systems of equations:

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Answer:

Below.

Step-by-step explanation:

-1 + r ≥ 4

Add 1 to both sides:

r  ≥ 5.

The  graph will have a filled circle on the number 5 and a  heavy line to the right.

-Answer: -3

Step-by-step explanation:

Answer:

a=-75

Step-by-step explanation:

-15=a/5

a=5*-15

a=-75

Answer:

-51/21

The first step in this equation would be to add -2/3 to 1/7

-2/3 and 1/7 need to have the same denominator, which 7 and 3 both go into 21

-2/3 converted to have the denominator, you would have to times top and bottom by 7, so you then get 14/21

Then you want to get the 1/7 with a denominator of 21 also, so you would times top and bottom by 3, so you get 3/21

Now you add 14/21 to 3/21 to get 17/21

-1/3h=17/21

You want to times by the reciprocal of -1/3 which would just be -3/1 so,

17/21*-3/1= -51/21 which is already simplified

So your answer would be -51/21

To check your work you would plug in -51/21 in for h

Step-by-step explanation:

Answer:

You generally have to start taking withdrawals from your IRA, SEP IRA, SIMPLE IRA, or retirement plan account when you reach age 70½. Roth IRAs do not require withdrawals until after the death of the owner. You can withdraw more than the minimum required amount.

Step-by-step explanation:

Roth IRAs do not have mandatory withdrawals, making them more flexible for retirees.

No, Roth IRAs do not have mandatory withdrawals during the lifetime of the original account holder. Traditional IRAs, on the other hand, have required minimum distributions (RMDs) starting at age 72, which means the account holder must start withdrawing a certain amount each year.

However, Roth IRAs do not have RMDs for the original account holder. This flexibility allows account holders to continue growing their investments tax-free for as long as they wish, making Roth IRAs advantageous for retirement planning and estate planning.

Therefore, No, Roth IRAs do not have mandatory withdrawals.

Answer:13hrs

Step-by-step explanation:

Initial Temperature = 21°c

final temperature = -18°c

rate of decrease = 3°c/hr

for every hour the temperature decreases by 3°c.

What time does it take to get to 0c  = . 21(°c) / 3(°c/hr)  = . 7hr

what time does it take to get to -18c  = 18(°c) / 3(°c/hr)   = . 6hr

Total Time taken  = . 7hr + 6hr = 13hr

Alternative solution

Initial Temperature = 21°c

final temperature = -18°c

rate of decrease = 3°c/hr

(21 + 18)°c/ 3(°c/hr) . = . 13hr

To cool a freezer from 21℃ to -18℃ at a rate of 3℃ per hour, it would take 13 hours for the freezer to reach -18℃.

The question asks how long it will take for a freezer to cool down from 21℃ to -18℃ if the temperature decreases at a rate of 3℃ per hour. To find the time it takes, you'll need to calculate the total temperature change required and then divide by the rate of temperature change.

First, calculate the total temperature difference:

21℃ (starting temperature) - (-18℃ target temperature) = 39℃ total temperature change.

Next, divide the total temperature change by the rate of temperature change:

39℃ total change / 3℃ per hour = 13 hours required

for the freezer to cool from 21℃ to -18℃.

874.18

Step-by-step explanation:if you multiply 800 by1.03 it will increase by 3% then repeat step two more times

Answer: C

Step-by-step explanation:

Im going to put this answer in simple terms because I don't want to confuse you too much with a big explanation on a question that doesn't need one.

Anyway, the answer to the equation is C, stating that |A| > 0. If you were wondering, the two lines on either side of the a are absolute value bars. To put it in simple terms, when you put a negative number in between absolute bars, the number because positive. However, when you put a positive number in between, the number stays the same. SO...

The value of A on the number is 4. SO...

Substitute: |-4| > 0

Solve: 4 > 0

Because it is true that 4 is greater that 0, the answer is C.

Hope this helps!

Answer

given,

average rent of one bed room = $1229

sample size = n = 15

Sample mean rent = $1350

Assuming standard deviation equal to $250

the test hypothesis is

H o: µ=1229

H a: µ not equal to 1229

now we know,

[tex]t = \dfrac{\bar{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

[tex]t = \dfrac{\$ 1350-\$ 1229}{\dfrac{250}{\sqrt{15}}}[/tex]

     t = 1.875

from t- table

a=0.05, the critical value is  |t(0.025, d f= n-1 = 14)|=2.14

since t= 1.875 which is less than 2.14 we do not reject H o.

So we can not conclude that the monthly rent outside San Francisco differs from that in the city

At a 0.05 significance level, we cannot conclude that the monthly rent outside San Francisco differs from that in the city, based on the given data and hypothesis test.

To determine if the monthly rent outside San Francisco differs from that in the city based on the sample provided, we perform a hypothesis test. Our null hypothesis (H0) states that the mean rent outside San Francisco is equal to the average rent in San Francisco, i.e., $1229. The alternative hypothesis (Ha) posits that the mean rent outside San Francisco is different from $1229.

Calculate the test statistic: We use a Z-test since the population standard deviation is known. The formula for the Z-score is:
[tex]Z = \frac{\bar{X} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
where X_bar = 1350, μ = 1229, σ = 250, and n = 15. Plugging in these values:
[tex]Z = \frac{1350 - 1229}{\frac{250}{\sqrt{15}}} = \frac{121}{64.55} \approx 1.87[/tex]

Determine the critical value: At α = 0.05, the critical values for a two-tailed test are approximately ±1.96.

Compare the test statistic to the critical value: Since 1.87 is less than 1.96, we fail to reject the null hypothesis.

Conclusively, at the 0.05 significance level, we do not have enough evidence to say that the monthly rent outside San Francisco differs from that in the city.

Complete question:

The average monthly rent for a one-bedroom home in San Francisco is $1229. A random sample of 15 one-bedroom homes about 15 miles outside of San Francisco had a mean rent of $1350. The population standard deviation is $250. At α = 0.05, can we conclude that the monthly rent outside San Francisco differs from that in the city?

Answer:

adjacent angles

complementary angles

Step-by-step explanation:

we know that

If two angles are complementary, then their sum is equal to 90 degrees

we have that

[tex]m\angle 1+m\angle 2=90^o[/tex] ---> given problem

therefore

∠ 1 and ∠ 2 are complementary angles

Remember that

Two angles are Adjacent when they have a common side and a common vertex

In this problem

∠ 1 and ∠ 2 have a common side and a common vertex

so

∠ 1 and ∠ 2 are adjacent angles

Answer:

Step-by-step explanation:

We will first find the slope of the line from those 2 points, then write the equation of the line in slope-intercept form, solving for b, the y-intercept.

[tex]m=\frac{13-19}{6-(-3)}=-\frac{6}{9}=-\frac{2}{3}[/tex]

So the slope is -2/3.  We will choose a point now to use in the slope-intercept equation.  I'm picking the one with no negatives (cuz who likes negatives!?).

[tex]13=-\frac{2}{3}(6)+b[/tex] which simplifies down to

13 = -4 + b so

b = 17

The y-intercept of the line that goes through those 2 points is (0, 17)

Answer: 3( 5m - 1 )

Step-by-step explanation:

The expression given is ; 15m - 3

This could be factorized , the common factor is 3 , so we have

3( 5m - 1 )

Answer:A

Step-by-step explanation:

no need for this you only look at the answers

Answer:

Time= [tex]10[/tex] years

Step-by-step explanation:

Let total time[tex]=t[/tex]

Initial Amount[tex]=5000[/tex]

Final Amount[tex]=10000[/tex]

Total interest = Final Amount - Initial Amount

                      [tex]=10000-5000\\=5000[/tex]

Simple Interest [tex]=\frac{Initial Amount\times time\times rate}{100} \\\\5000=\frac{5000\times t \times 10}{100}\\\frac{t}{10} =1\\t=10 \ years[/tex]

Answer:

The term 'numerical' means 'involving numbers' and the term 'expression' means 'phrase'. A numerical expression is a mathematical phrase involving only numbers and one or more operational symbols.

Answer:

The term 'numerical' means 'involving numbers' and the term 'expression' means 'phrase'.  In other words, it is just a phrase/ equation with numbers not letters.

Example 2+4=6

NOT 3a+4a=7a

Happy Holidays!

Answer:

b. Right, isosceles

Step-by-step explanation:

right because it has a right angle at the top corner

isosceles because two sides of the triangle are equal to each others

Answer:

1

Step-by-step explanation:

4/4=1

5-1-3=4-3=1

The conclusion that 40% of the students have visited a science museum based on a sample of 50 may not be accurate because the Sample Size may be too small and unrepresentative of the school population. Other factors like Response Rate and random sampling are essential for validity, and a Hypothesis Test could provide more solid evidence.

The conclusion that 40% of the students in the school have visited a science museum based on a survey of 50 students is not fully valid without considering additional factors. When conducting a survey, the concept of Sample Size is crucial. A sample size of 30 is the minimum required to start establishing statistical confidence, but larger samples are generally better to reduce sampling error. In this case, sampling only 50 students might not be representative of the entire student body, depending on the school's population. Moreover, the Response Rate and the randomness of the sample are essential in determining the validity of survey results. The survey must have a relatively high response rate and the sample must be chosen randomly from the entire population to avoid bias. This helps in better reflecting the overall characteristics of the population.

Conducting a Hypothesis Test would also help validate the findings. This statistical tool helps determine whether the observed proportion significantly deviates from the expected proportion (if known) or not. Furthermore, one important aspect is to avoid making statistics imply something they do not, which is common in cases where the sample size is small or the sample is unrepresentative. Lastly, discrepancies in survey results, like those seen in vaccination rates from two different researchers, can occur even when the right procedures are followed due to inherent variability in sampling.

Answer:

The answer is larger than 3 unless d = 0

Step-by-step explanation:

Well, it says increased, which means add/multiply

However, we don't know what d equals, so it is impossible to find the answer.