The sum of four consecutive integers is -62. What is
the least of the four integers?

Answers

Answer 1

9514 1404 393

Answer:

  -17

Step-by-step explanation:

Let x represent the smallest of the integers. Then their sum is ...

  x +(x+1) +(x+2) +(x+3) = -62

  4x +6 = -62 . . . . . . . . . . . . . . . collect terms

  4x = -68 . . . . . . . . . .subtract 6

  x = -17 . . . . . . . divide by 4

The least of the four is -17.


Related Questions

Kathleen hiked to the top of a mountain. She started the hike at 7:25 A.M. It took 3 hours and 45 minutes to get to the top of the mountain and 1 hour and 30 minutes to hike back down. What time was it when Kathleen finished the hike?

Answers

Answer: 11:45 am

Step-by-step explanation:

10:15

toget back down 10

;15          



Decrease
M720.00 by 25%

Answers

Answer:

540

Step-by-step explanation:

720 (100-25) to find the decimal to use (below 1.00 is decreasing)

720 (.75) = 540

i will mark brainliest
which statement best describes the are of Triangle ABC shown below?
A: it is going to have the area of a square of side lengths 6 units.
B it is twice the area of a square of side lengths 6 units.
C is one half the area of a rectangle with sides 6 units * 2 units.
Dit is twice the area of a rectangle with sides 6 units comes with two units.​

Answers

9514 1404 393

Answer:

  C is one half the area of a rectangle with sides 6 units * 2 units

Step-by-step explanation:

The area of any triangle is half the area of a rectangle of the same height and width. Here, the triangle has a width of 6 units and a height of 2 units. Its area is ...

  one half the area of a rectangle with sides 6 units by 2 units

round 5763 to the nearest hundred

Answers

Answer:

[tex]5800[/tex]

Step-by-step explanation:

Hope it is helpful...

Answer:

5800

Step-by-step explanation:

5763

7 is in the hundreds place

We look at the tens place to determine how to round

If the tens place is 5 or above we round up, if it is 4 or less- leave it alone

Since 6 is 5 or above, we round the 7 up

5763 rounds to 5800

Evaluate u + xy, for u = 20, x = 5, and y = 7.

Answers

Answer:

55

Step-by-step explanation:

u + xy, for u = 20, x = 5, and y = 7

u + xy = 20 + 5 * 7 = 20 + 35 = 55

Step-by-step explanation:

hear is your please check attachment

A person's Body Mass Index (BMI) is a measure of the amount of fat in their body. The relationship between antioxidant food consumption per day in cups and the BMI of an individual is modeled by the following line of best fit: [tex]y=-1.2x+26[/tex] . Interpret the slope and intercept of the trend line within the context of the data.

DIRTY ANSWERS REPORTED
NO LINKS ALLOWED!

Answers

Answer:

The slope of -1.2 means that for each cup of antioxidant a person consumes per day, it's BMI decreases by 1.2.

The intercept of 26 means that a person that does not consume any cup of antioxidant food a day should have an BMI around 26.

Step-by-step explanation:

Line of best fit:

[tex]y = -1.2x + 26[/tex]

Slope:

The slope is the number that multiplies x, that is, -1.2. The slope of -1.2 means that for each cup of antioxidant food a person consumes per day, it's BMI decreases by 1.2.

Intercept:

Value of y when x = 0, that is, 26. The intercept of 26 means that a person that does not consume any cup of antioxidant food a day should have an BMI around 26.

Answer:

the slope is -1.2 and the intercept is 26.

Step-by-step explanation:

our line's equation is y= -1.2x + 26

In the equation y = mx + b, m is the slope and b is the y-intercept. So in this equation, look for where the numbers are placed and that it what you get.

help urgent please

the graphs below have the same shape. what is the equation of the blue graph?

no links please​

Answers

Answer:

D

Step-by-step explanation:

If you add or subtract three outside of the exponent (ex: x^2 + 3), then the parabola moves up and down.

If you add or subtract the number inside the exponent (ex: (x+3)^2), then the parabola moves side to side.

If you add three, the parabola moves left.

Thus, the answer is D.

Which of the following statements is true for ∠a and ∠b in the diagram?

Answers

Step-by-step explanation:

a and b are corresponding angles

(x^2+2x-1)+(2x^2 – 2x+1)

Answers

9514 1404 393

Answer:

  3x^2

Step-by-step explanation:

Add coefficients of like terms.

  (x^2 +2x -1) +(2x^2 -2x +1)

  = (1 +2)x^2 +(2 -2)x +(-1 +1)

  = 3x^2 +0x +0

  = 3x^2

Answer:

3x^2

Step-by-step explanation:

(x^2+2x−1)+(2x^2−2x+1)

Combine x^2 and 2x^2 to get 3x^2.

3x^2+2x−1−2x+1

Combine 2x and −2x to get 0.

3x ^2−1+1

Add −1 and 1 to get 0.

3x^2

A museum conducts a survey of its visitors in order to assess the popularity of a device which
is used to provide information on the museum exhibits. The device will be withdrawn if fewer
than 20% of all of the museum’s visitors make use of it. Of a random sample of 100 visitors,
15 chose to use the device.
i. Carry out an appropriate hypothesis test at the 5% significance level to
see if the device should be withdrawn and state your conclusions.
ii. Calculate the p-value of the test

Answers

Answer:

i:

The appropriate null hypothesis is [tex]H_0: p \geq 0.2[/tex]

The appropriate alternative hypothesis is [tex]H_1: p < 0.2[/tex]

The p-value of the test is 0.1057 > 0.05, which means that there is not sufficient evidence that fewer than 20% of the museum visitors make use of the device, and so, it should not be withdrawn.

ii:

The p-value of the test is 0.1057

Step-by-step explanation:

Question i:

The device will be withdrawn if fewer than 20% of all of the museum’s visitors make use of it.

At the null hypothesis, we test if the proportion is of at least 20%, that is:

[tex]H_0: p \geq 0.2[/tex]

At the alternative hypothesis, we test if the proportion is less than 20%, that is:

[tex]H_1: p < 0.2[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.2 is tested at the null hypothesis:

This means that [tex]\mu = 0.2, \sigma = \sqrt{0.2*0.8} = \sqrt{0.16} = 0.4[/tex].

The device will be withdrawn if fewer than 20% of all of the museum’s visitors make use of it. Of a random sample of 100 visitors, 15 chose to use the device.

This means that [tex]n = 100, X = \frac{15}{100} = 0.15[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.15 - 0.20}{\frac{0.4}{\sqrt{100}}}[/tex]

[tex]z = -1.25[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.15, which is the p-value of z = -1.25.

Looking at the z-table, z = -1.25 has a p-value of 0.1057.

The p-value of the test is 0.1057 > 0.05, which means that there is not sufficient evidence that fewer than 20% of the museum visitors make use of the device, and so, it should not be withdrawn.

Question ii:

The p-value of the test is 0.1057

the two solids below are similar and the ratio between the lengths of their edges is 4:7 what is the ratio of their surface areas? A 7:4 B 16:49 C 16:29 B 64:343

Answers

9514 1404 393

Answer:

  B.  16:49

Step-by-step explanation:

The area ratio is the square of the edge length ratio:

  area ratio = (4:7)² = 4²:7² = 16:49

_____

It might help you to recall that area is the product of two linear dimensions if each is multiplied by 4/7, the resulting product will be multiplied by (4/7)².

  A = LW

  A' = (4/7L)(4/7W) = (4/7)²(LW) = (16/49)·A

area of a trapezium.​

Answers

Answer:

Step-by-step explanation:

A= (a + b) * h/2

Answer:

what they said

Step-by-step explanation:

yeah what they said

Can anyone please help me with this ? Thanks 2.5m = 75

Answers

2.5m = 75

To find m divide both sides by 2.5:

M = 75/2.5

M = 30

Answer:

m = 30

Step-by-step explanation:

2.5 m = 75

To find m divide 75 by 25

m = 75 / 2.5

m = 30

Plzzz someone help me , ur flippin amazing if u help me :)

Answers

Answer:

C ................................. I think

Which is a stretch of an exponential decay function?
f(x)=4/5(5/4)x
f(x)=4/5(4/5)x
f(x)=5/4(4/5)x
f(x)=5/4(5/4)x

Answers

The correct answer is f(x)= 5/4(4/5)x

Find the slope from the given equation. 9y = -3x + 5

Answers

Answer:

-3/9x

Step-by-step explanation:

You rearrange for 'y' so divide both sides by it's coefficient which is 9.

Answer:

The slope is -1/3

Click on the solution set below until the correct one is displayed.

Answers

Answer:

You need to add the picture unless we cannot answer your question

Step-by-step explanation:

Please add the picture it would be very useful and essential to find the answer

Answer:

Add pictures plis

Step-by-step explanation:

9 sprinters have made it to the Olympic finals in the 100-meter race. In how many different ways can the
gold, silver, and bronze medals be awarded?

Answers

Answer:

in three different ways the first one gets a gold one the other 4 printers get silver n the last 4 printers get bronze.

someone please help! (listing BRAINLIST and giving points) ​:)​

Answers

thx thx thx thx thx thx thx sa points sabi mo give away eh

I hope this is help full to you

An educator wants to determine whether early exposure to school will affect IQ. He enlists the aid of the parents of 12 pairs of preschool-age identical twins who agree to let their twins participate in this experiment. One member of each twin pair is enrolled in preschool for 2 years while the other member of each pair remains at home. At the end of the 2 years, the IQs of all the children are measured. The results follow.
IQ
Pair Twins at
preschool Twins at
home
1 109 116
2 122 119
3 110 106
4 119 115
5 114 118
6 112 103
7 128 125
8 114 116
9 108 107
10 117 123
11 117 116
12 106 104
Does early exposure to school affect IQ? Use α = 0.052 tail.
tobt =

Answers

A____________________

PLEASE HELP! If there are 19 successful outcomes in a sample with a size of 25, what is the sample proportion? O A. 0.32 B. 0.96 O C. 0.76 D. 0.52 SUBMIT​

Answers

Answer:

0.76

Step-by-step explanation:0.76

help me out pleaseeee

Answers

Answer:

The correct option is (b).

Step-by-step explanation:

The solution of the given polynomial is :

[tex](-\dfrac{1}{3},4)[/tex]

x = 1/3 and y = -4

i.e.

Sum of roots = (1/3-4) = -11/3

Product of roots = (1/3)(-4) = -4/3

The quadratic equation is as follows :

[tex]x^2+(\text{sum of roots})x+\text{Product of roots}=0[/tex]

Put all the values,

[tex]x^2+\dfrac{-11}{3}x+\dfrac{-4}{3}=0\\\\3x^2-11x-4=0[/tex]

So, the correct option is (b).

A pair of shoes that normally cost $24 is 25% off. what is the selling price of the jeans?​

Answers

Answer:

The selling price of the shoe is $18

Step-by-step explanation:

Hey there!

According to the question, the normal cost price of pair of shoes is $24 (i.e $24 is MP= marked price).

Also, there is 25% off. (i.e discount)

Now,

SP (selling price) = MP - discount% of MP

or, SP = 24 - 25% of 24

or, SP= 24 - 6

Therefore, the SP of the shoes is $18.

Hope it helps!

$18

The answer is $18

A comet travels at an average speed of 233,000 km/h.
It takes 7 days for the comet to reach Earth.
Find the distance, in km, the comet travelled.

Answers

Answer:

39,144,000 km

Step-by-step explanation:

Hi there!

Distance traveled = time * speed

Given speed: 233000 km/h

Given time: 7 days

It's important to note that our speed is given in per hours and out time is given in days. So in order to find how far the comet has traveled we must convert days to hours.

There are 24 hours in 1 day.

So to convert days to hours simply multiply amount of days by 24

24 * 7 = 168

So the comet has traveled for 168 hours

Now we can find distance traveled

Once again distance traveled = time * speed

Given speed is 233000 km/h

Given time is 168 hours

Distance = 168 * 233000 = 39,144,000

So the comet has traveled for a total distance of 39,144,000 km

There are several vehicles in a parking lot. Some of them are motorcycles
(with 2 wheels), and some are cars (with 4 wheels). There are 10 vehicles in
the lot, and there are 32 wheels. How many vehicles of each type are in the
lot?

Answers

Answer:

There are four motorcycles and six cars.

Step-by-step explanation:

Let m represent the number of motorcycles and c represent the number of cars.

Since there are ten vehicles in total, the sum of the number of motorcycles and the number of cars must total ten. Hence:

[tex]m+c=10[/tex]

And since each motorcycle has two wheels and each car has four wheels and there are 32 wheels in total:

[tex]2m+4c=32[/tex]

Solve the system of equations. First, we can divide the second equation by two:

[tex]m+2c=16[/tex]

From the first equation, we can subtract c from both sides:

[tex]m=10-c[/tex]

Substitute:

[tex](10-c)+2c=16[/tex]

Simplify:

[tex]10+c=16[/tex]

Therefore:

[tex]c=6[/tex]

There are six cars.

Using the modified equation:

[tex]m=10-c[/tex]

Solve for m:

[tex]m=10-(6)=4[/tex]

So, there are four motorcycles and six cars.

please help i am actually so confused on this one

Answers

Answer:

C

Step-by-step explanation:

Using pythagoras theorem, you will find that AC= 12,

[tex]\sqrt{13^2-5^2}= 12[/tex]

Sin A = Opposite / Hypotenuse, in this case the opposite of A is CB which is 5ft, and then Hypotenuse of the right angled triangle is AB. which is 13ft.

So, Sin A = 5/13

Tan A= Opposite/ Adjacent,

Opposite is CB, which is 5ft, adjacent is AC, which  is 12ft.

So, Tan A= 5/12

Cos A= Adjacent/Hypotenuse,

we know adjacent is 12ft and that hypotenuse is 13ft.

So Cos A= 12/13

However Sec A is the inverse of cos A.

So, Sec A= 13/12.

If you apply the changes below to the reciprocal parent function, F(x) =
what is the equation of the new function?
• Horizontally stretch by multiplying by 1/6
• Translate 5 units right.

Answers

Answer:

The answer is "Option B".

Step-by-step explanation:

Please find the complete question in the attached file.

The Horizontal stretch [tex]=(\frac{1}{6 \ x})\\\\[/tex]

Translation by 5 units right[tex]=( \frac{1}{6\ x})-5[/tex]

Answer:

its A i used his answer and got it wrong

x=ky a. if x=15 when y=14.find the value of k.. b..Find x when y=70 c...find y when x=45​

Answers

Step-by-step explanation:

Given that,

a. x = 15 and y = 14

The equation is :

x = ky

or

[tex]k=\dfrac{x}{y}[/tex]

Put all the values,

[tex]k=\dfrac{15}{14}\\\\k=1.07[/tex]

b. Now, put y = 70 and k = 1.07.

x = 1.07×70

x = 74.9

c.

Put x = 45 and k = 1.07.

[tex]y=\dfrac{x}{k}\\\\y=\dfrac{45}{1.07}\\\\y=42.05[/tex]

Hence, this is the required solution.

please answer thank you ​

Answers

Answer:

37 / 16

Step-by-step explanation:

_____________________

The distance that students drive to school is best modeled with a skewed right distribution that has a mean of 10 miles and a standard deviation of 2 miles. Suppose a sample of 100 students has been taken and the sample mean distance for the sample is calculated. Describe the shape of the sampling distribution of the sample mean

Answers

Answer:

The answer is "Approximately normal".

Step-by-step explanation:

sample size[tex]n=100[/tex]

Sample size [tex]n \geq 30[/tex]

It is because [tex]C \perp T[/tex] the sampling distribution of the sample means is approximately normal.

Other Questions
NUM ALDITORIO HA 224 CADEIRAS ORGANIZADAS EM 8 FILEIRAS COM A MESMA QUANTIDADE DE CADEIRAS QUANTAS CADEIRAS HA EM CADA FILEIRA For each transaction: a. analyze the transaction using the accounting equationb. record the transaction in journal entry formc. post the entry using T-accounts to represent ledger accounts.1. On May 15, DeShawn Tyler opens a landscaping company called Elegant Lawns by investing $7,000 in cash along with equipment having a $3,000 value in exchange for common stock. 2. On May 21, Elegant Lawns purchases office supplies on credit for $500. 3. On May 25, Elegant Lawns receives $4,000 cash for performing landscaping services. 4. On May 30, Elegant Lawns receives $1,000 cash in advance of providing landscaping services to a customer. Question 2Find the equation of the line parallel to y = x - 2 that passes through the point (-3,2). Applying L'Hospital's rule is not allowed What is the area of the right triangle shown below? Vertical analysis can best be described as a technique for analyzing the percentage change in individual financial statement line items from one accounting period to the next.a. Trueb. False Find the mean, median, and mode of the following set of data: 54, 48, 37, 55, 51, 54, 42, 52, 53 what is a Iaissez-faire economy? Ryder is building a workbench.The top of the workbench is a rectangular piece of plywood that is 6.25 feet long and 1.83 feet wide.Part ARound the length and width to the nearest whole number.Then estimate the perimeter of the workbench.Which of the following equations models this estimate of the perimeter?A. 6 + 6 + 2 + 2 = 16B. 6 2 = 12C. 7 + 7 + 2 + 2 = 18D. 7 2 = 14Part BRound the length and width to the nearest tenth.Then estimate the perimeter of the workbench.Which of the following equations models this estimate of the perimeter?A. 6.2 + 6.2 + 1.8 + 1.8 = 16B. 6.2 1.8 = 11.16C. 6.3 + 6.3 + 1.8 + 1.8 = 16.2D. 6.3 1.8 = 11.34 Which of the following is a concern if you forgot to resuspend (mix) culture solutions when performing serial dilution?A) Bacteria would no longer be able to grow on solid mediaB) CFU/mL calculations would not be accurateC) Colony morphology would be disrupteD) The pure culture would be contaminated Verify each trigonometric equation by substituting identities to match the right hand side of the equation to the left hand side of the equation.cot x sec4x = cot x + 2 tan x + tan3x(sin x)(tan x cos x - cot x cos x) = 1 - 2 cos2x1 + sec2x sin2x = sec2xsine of x divided by one minus cosine of x + sine of x divided by one minus cosine of x = 2 csc x- tan2x + sec2x = 1 Which statement accurately describes a P wave? Recently mobile phones have been used to pay for goods in stores and supermarkets. One methodof payment involves holding the phone close to a reader in the store.Discuss the advantages and disadvantages of this method of payment compared with other methods of credit/debit card transactions. 1. Answer the following question in the first person (je). Use venir de and replace le journal with the appropriate direct object pronoun.Est-ce que tu as lu le journal?2. How do say "Do you want something" in French? Use the vous form.3. Answer the following question in the negative.Est-ce que tu vois quelqu'un?4. Answer the following question in the pass compos. Use the nous form and note the hint in parentheses.Qu'est-ce que vous avez fait hier soir? (aller au restaurant)6. Use est-ce queElle s'est leve 7 heures du matin.7. Answer the following question in the affirmative. Replace ta mere with the appropriate indirect object pronoun.Est-ce que tu as parl ta mre?9. Fill in the blank in the following sentence by describing the old woman below. Use one adjective from each of the following pairs: small/big, pretty/ugly, old/young, and good/bad. C'est une ( ).10. How do you say "We are early" in French? Ranking correct answer brainliest! If you need more points check unanswered questions An object is placed closer to the lens than f for a diverging lens. The image will be located: a) between f and 2fb) between the lens and fc) A or B or Cd) farther than 2f who can explain the ghana empire As a basic user of SAP Business One, which feature of the application do you like most? Elaborate on your answer. if you are asked to choose a profession between an agricultural expert and a veterinary doctor, which one will you choose? Give your opinion to support your choice. DatePageOutof100 students who appeared ingrade.VIII annual examinationofRamJanaki Secondary School.60 passed inmothematics, 50 in science and 20 studentspassed in both subject find howmanyfailed in both subject ? Aso show above informationstudentin Venn-brightVenn-diagramhuan anatoa )Sonnant Babaseeigshoos teoloh