The sum of three consecutive even integers is -78. What is the smallest integer? Show all working outs (5)
Answer:
The smallest integer is -27 and the integers are -27, -26, and -25
Step-by-step explanation:
We can represent this with:
x + x - 1 + x - 2 = -78
Simplify.
3x - 3 = -78
Add 3 to both sides.
3x = -75
Divide both sides by 3.
x = -25
So, the first integer is -25.
Subtract two to get the smallest integer.
-25 - 2 = - 27
Simplify ( 2+ 6) /4 + 12•3+1 ?
Answer:
39
Step-by-step explanation:
That is the correct answer
Answer:
39
Step-by-step explanation:
2+6 is 8, 8 divided by 4 is 2. You're equation now is 2+12 x 3+1 Then you do the multiplication first because of PEMDAS, so now the equation is 2+36+1, adding all of those together is 39 :)
Help solve
−3'3(2 − 4 + 5)
2( − 3 + 4) − 3(2 − + 7)
Answer:177
Step-by-step explanation: -3'3(2+1) 2(1)-3(-5)
=-27(3) ×-2 +15
=-81×(-2)+15
=162+15
=177
45 to 60 using percent of change unit.
Answer:
A change from 45 to 60 represents a positive change (increase) of 33.3333333333%
Step-by-step explanation:
Percent change = 60 - 45
45
× 100 = 33.333333333333 % (increase)
Answer:
33.3% increase
Step-by-step explanation:
Percent of Change =
[tex] \frac{change}{original} [/tex]
The change would be 15:
60 - 45 = 15
So the percent of change would be:
15/45 = 1/3 = 33.3% increase
Hope this helps! Brainliest would be appreciated!
what is the most you would pay today for a promise to repay you $6,000 at the end of 6 years if your opportunity is 12%
Answer:
i need 9it
Step-by-step explanation:
ndbwsjl
What is the distance from the point (-6, 2) to the point (2, 17)
19.21 units
15.13 units
17.00 units
19.10 units
20.62 units
Answer:
17
Step-by-step explanation:
sqrt((2-(-6))^2+(17-2)^2)
What is the measure of <1
1. 80
2. 40
3. 160
your test is worth 100 points and theres 44 questions how many points is each question worth
Answer: ~ 2.27 points per question
Step-by-step explanation:
Want points/question.
So, we do 100 points / 44 questions
~ 2.27 points per question
A credit card company offers an annual 2% cash-back rebate on all gasoline
purchases. If a family spent $5,650 on gasoline purchases over the course of a year,
what was the family's rebate (in dollars) at the end of the year?|
$4,350 x 0.02 = $87
$360 - $87 = $273
Interest $270 no rebate
so $273 - $270 = $3
The family's rebate at the end of the year is $113.
What is a rebate?A rebate is a form of buying discount and is an amount paid by way of reduction, return, or refund that is paid retrospectively. It is a type of sales promotion that marketers use primarily as incentives or supplements to product sales.
Given that, a credit card company offers an annual 2% cash-back rebate on all gasoline purchases.
A family spent $5,650 on gasoline purchases over the course of a year.
Now, rebate =2% of 5650
= 2/100 ×5650
= 0.02×5650
= $113
Therefore, the family's rebate at the end of the year is $113.
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What is the volume of the basement?
Volume = Length × Breadth × Height
So you are absolutely right, it is 252 yards squared
what is the product of 1/2 and 3/5 ?
Answer:
3/10
I think??
Answer:
The answer is 0.3
don't really have a step-by-step explanation just either look it up or do it on a calculator
pls help this is due tonight
Answer:
3. 10
4. 6
5. 81,000
6. 36
7. x=-0.5
Step-by-step explanation:
3. 25-3(5)
4. 3 + 3
5. 81 x 1000
6. 4 x 9
PLEAS HELP!
The diagram shows a convex
polygon.
What is the value of a?
Answer:
40°
Step-by-step explanation:
56+84=140
180-140=40°
Find the measure of the angle with the red dot (NOT X.)
Picture Included. Thank you!
Step-by-step explanation:
I can't see picture very well but as I see first angle is
-4x+5 and second is -13x+39 ( if it isn't, correct me)
sum of this angles is 180° because they are inner angles
(-4x+5) + (-13x+39) = 180
-4x+5 -13x+39=180
-17x+44=180
-17x = 180-44
-17x= 136
x= -8
angle -4x+5 will be:
-4*-8 + 5= 32+5= 37°
Which of the following equations has both -6−6minus, 6 and 666 as possible values of ccc?
Choose all answers that apply:
(Choice A)
c^2 = 36c
2
=36c, squared, equals, 36
(Choice B)
c^3 = 216c
3
=216c, cubed, equals, 216
(Choice C)
None of the above
Answer:
It's the Choice A c² = 36
Solve the equation to find a positive value of c:
62 + 82 = c2
(20 points)
Answer:
The equation has 2 solutions
c = -12
c = 12
Step-by-step explanation:
Swap the sides
c² = 62 = 82
Simplify the equation
c² = 144
separate the solutions
c = ± 12
Solution
c = -12
c = 12
What is the length of side s of the square shown below? 45° 6 30
A. 34
B. 6
C. 3
D. 6-2
E. 2
F. VE
Answer:
The correct answer should be D.
Step-by-step explanation:
A quart of water weighs 2 pounds.how much do 1.5 gallons of water weigh?
Answer:
12 pounds
Step-by-step explanation:
gallon equals 4 quarts
1.5*4 equals 6
6 quarts times 2 pounds =2
.
Simplify: -8(13 – 5c + 12d)
a -104 – 5c + 12d
b -104 - 40c - 96d
c -104 -13c + 4d
d -104 + 40c – 96d
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Simplification ~
[tex] - 8(13 - 5c + 12d)[/tex][tex]( - 8 \times 13) + ( - 5c \times - 8) + ( - 8 \times 12d)[/tex][tex] - 104 + 40c - 96d[/tex]Correct choice is D
Simplify: -8(13 – 5c + 12d)
= −8 (13−5c+12d)
= (−8×13) + (−5c×−8) + (−8×12d)
= - 104 + 40c - 96d
Correct option is D
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Answered by:-Cutest Ghost (･◡･)▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪
Angle ABC measures 35 and angel BAC meausures 115
Answer:
a. 115 degrees
b. 35 degrees
c. 30 degrees
Step-by-step explanation:
Which of the following equations gives the
relationship between the price in dollars, p, and the
number of pieces of salt-water taffy, s, in a bag of salt-
water taffy from Walter's Watery Taffy?
Answer: p=0.25s
Step-by-step explanation: I am taking the test to
The correct equation is p = ms + b, where m and b are constants.
This equation represents a linear relationship between the price p and the number of pieces of salt-water taffy s. The constant m represents the slope of the line, and the constant b represents the y-intercept.
The other equations are not correct because they do not represent a linear relationship. For example, the equation p = [tex]s^2[/tex] represents a quadratic relationship, and the equation p = s/2 represents a linear relationship with a slope of 1/2.
Here is a brief explanation of why the correct equation is p = ms + b.
The price p is a linear function of the number of pieces of salt-water taffy s. This means that the price increases at a constant rate as the number of pieces of salt-water taffy increases.
The constant m represents the slope of the line. The slope of the line tells us how much the price increases for every additional piece of salt-water taffy.
The constant b represents the y-intercept. The y-intercept tells us the price when the number of pieces of salt-water taffy is 0.
Therefore, the correct equation is p = ms + b.
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Need this by tomorrow please and thank you!
Answer:
I think it's x=5
Step-by-step explanation:
3x+15=2x+20
-2x. -2x
x+15=20
-15. -15
x=5
sorry if is not the answer
Sociologists say that 85% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). Suppose that six married women are having coffee together one morning. Find the following probabilities. (Round your answers to three decimal places.)
(a) All of them dislike their mother-in-law.
Incorrect: Your answer is incorrect.
(b) None of them dislike their mother-in-law.
(c) At least four of them dislike their mother-in-law.
(d) No more than three of them dislike their mother-in-law.
The probability is equal to 0.9788.
We have given that,
Sociologists say that 85% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). Suppose that six married women are having coffee together one morning.
We have to find the probability
Probability all dislike is
[tex]0.85^8= 0.27[/tex]
What is the probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.
The probability that none dislike is,
[tex]0.15^8= 2.6 \times 10^{(-7)}[/tex]
At least 5 dislike
5 dislike 8C5
[tex](0.85)^5(0.15)^3= 0.0839[/tex]
6 dislike 8C6
[tex](0.85^6 0.15)^2= 0.2376[/tex]
7 dislike
[tex]8*(0.85^7) (0.15)=0.3848[/tex]
8 dislike
[tex]0.85^8= 0.2725[/tex]
Therefore the probability is equal to 0.9788.
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Ailani babysits for a neighbor after school. Allani deposits 20% of the money that she earns each week in a savings account. If Ailani earns $85 each week, how much money will she deposit each week?
Answer:
$17
Step-by-step explanation:
20% of 85 is 17
If the sales tax rate is 7.8%, what will be the amount of sales tax on a $74 calculator?
State your answer in terms of dollars, rounded to the nearest cent
Do not include a $ sign with your response.
Answer:he sales tax is determined by computing a percent of the purchase price. To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price.
Step-by-step explanation:
will this help
Select another way to show 25 times 18
4.3 1/2* 2 1/2
Simplify
Answer:
35
Step-by-step explanation:
4.3 1/2 * 2 1/2 = 35/1 =35
If this is wrong i'm sorry
Mr. Jones' recipe calls for 1.04 tablets per day. Based on this information, how many tablets should Mr. Jones take per day?
Due to the fact that no one can consume .04 of a tablet, we can round down this answer to 1. Even if we were told to round to the tens place, we would still be unable. Remember, 5 or above, give it a shove, 4 or below, let it go. This means that Mr. Jones should take C- 1 tablet per day.
I hope I've helped! :)
Find the principal invested when they account earns $804 in interest at 6.1 annual interest rate for two years. round to the nearest hundredth.
crecimiento de arboles
un vivero de plantas verdes suele vender cierto arbusto despues de 6 años de crecimiento y cuidado. La velocidad de crecimiento durante esos 6 años es aproximadamente dh/dt = 1.5t + 5, donde t es el tiempo en años y h es la altura en centimetros. Las plantas de semillero miden 12 centimetros de altura cuando se plantan (t=0).
determinar la altura despues de t años
que altura tiene los arbustos cuando se venden
Queremos encontrar la altura de las plantas luego de t años, dado que conocemos la altura inicial y la velocidad de crecimiento.
La ecuación de la altura es:
[tex]h(t) = 0.75*t^2 + 5*t + 12[/tex]
Con ella veremos que los arbustos miden 69cm cuando son vendidos.
Veamos como resolver esto.
h(t) es la función que modela la altura de las plantas.
Sabemos que:
[tex]\frac{dh(t)}{dt} = 1.5*t + 5[/tex]
Sí integramos, obtendremos:
[tex]h(t) = (1/2)*1.5*t^2 + 5*t + c[/tex]
donde C es una constante de integración, la cual representa la altura inicial (para t = 0) de las plantas, notar que:
[tex]h(0) = c[/tex]
Y sabemos que las plantas miden 12 cm cuando son plantadas, entonces c = 12.
La ecuación de la altura es entonces:
[tex]h(t) = 0.75*t^2 + 5*t + 12[/tex]
Esta ecuación nos da la altura en centimetros a tiempo t.
Sabemos que los arbustos se venden luego de 6 años, entonces la altura que tendran cuando son vendidos es:
[tex]h(6) = 0.75*6^2 + 5*6 + 12 = 69[/tex]
Es decir, los arbustos miden 69cm cuando son vendidos.
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