Answer:
The three integers are
11, 13, and 15.
Step-by-step explanation:
. The sum of these is 39, so we can write:
x+(x+2)+(x+4)=39
Open the brackets and simplify.
x+x+2+x=+4=39
3x+6=39
Subtract 6 from each side.
3x=33
Divide both sides by 3.
x=11
Therefore: (x+2)=13 and (x+4)=15
What is the slope of a line perpendicular to the line whose equation is x-3y=-18
Answer: y = 3x + 2
Step-by-step explanation: Convert the equation to slope intercept form to get y = –1/3x + 2. The old slope is –1/3 and the new slope is 3. Perpendicular slopes must be opposite reciprocals of each other: m1 * m2 = –1
With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b or 5 = 3(1) + b, so b = 2
So y = 3x + 2
Select all the zeros of the function f(x) = (x + 10)(x - 5)(x + 1).
- 10
0 - 5
- 1
0 0
1
5
010
Answer:
-10, 5,-1
Step-by-step explanation:
Set each parentheses to 0
x+10=0 then factor 10 over
x=-10
repeat
x-5=0 to x=5
x+1=0 to x=-1
How would i do this??:: Some kinds of fruit juice are only 10% juice. Other brands are 40% juice how much of each kind of juice should be mixed together to form 5 gallons of punch which is 25% juice?
Answer:
You should mix
2.5 gallons of the first juice with
2.5 gallons of the second juice
Step-by-step explanation:
Step one
Let the first kind of juice be x
Let the second be y
Given x contain 10% juice
and y contains 40% juice
So for the percentage constituent concentration of each the expression is
0.1x+ 0.4y=0.25(5)
0.1x+0.4y=1.25—----------------1
Step two
Also for the volume of the mixture, we are working with 5 gallons hence the expression
x+y=5-------------------------------2
The system of equation for the situation is
0.1x+0.4y=1.25------1
x+y=5-------------------2
From equation 2
x=5-y
Put x=5-y in the equation
0.1(5-y) +0.4y=1.25------1
0.5-0.1y+0.4y=1.25
0.3y=1.25-0.5
0.3y=0.75
Dividing both sides by 0. 3
y=0.75/0.3
y=2.5
x=5-y
x=5-2.5
x=2.5
The mixture should consist of
2.5 gallons of the first juice with
2.5 gallons of the second juice
The calorie count of a serving of food can be computed based on its composition of carbohydrate, fat, and protein. The calorie count for a serving of food can be computed using the formula C=4h+9f+4p, where his the
of grams of carbohydrate contained in the serving, is the number of grams of fat contained in the serving, and is the number of grams of protein contained in the serving
A serving of a certain type of but contains 12 grams of fat, 6 grams of carbohydrate, and 5 grams of protein. How many calones are in this serving of ruts?
There are calories [___] in this serving of nuts
Answer:
152 calories
Step-by-step explanation:
The calories count, composition of carbohydrates, fat and protein are related by;
C = 4h + 9f + 4p
where C, h, f, and p have there given meaning.
Given that the serving of a type of nut contains; f = 12 grams, h = 6 grams and p = 5 grams, then;
C = 4(6) + 9(12) + 4(5)
= 24 + 108 + 20
= 152
C = 152 calories
Therefore, there are 152 calories in the serving of the certain type of nut.
You are allowed to eat at most 12 pieces of candy. You have already eaten 2. Write an inequality and solve to find how many more piece of candy you can eat.
Answer:
One of the below.
Step-by-step explanation:
12-2=10 2+x=12
can some one please help me im confused on this im really stuck :(
Find the slope of the line that passes through each pair of points: (8, -2) , (1, 1)
Answer:
3/-7
Step-by-step explanation:
Using the equation [tex]M=\frac{Y_{2}-Y_{1}}{X_{2}-X_{1}}[/tex] where M is slope, you take (1--2) 1+2/1-8 and you get 3/-7.
The Daytona 500 is 500 miles long. How long is the race in kilometers? (Use the school conversion sheet)
Answer:
804.672 km
Step-by-step explanation:
Answer:
It's 804.672 long in kilometers. If needed to be round then about 805 kilometers.
Step-by-step explanation:
You know that:
1 mile = 1.609344 km
So you'll do
500 * 1.609344 = 804.672 km
(picture)
for each number on the left,place a check mark under the numbers it is divisible by.
45- 3, 5, 9
369- 3, 9
7870- 2, 5, 10
1976- 2, 4,
6003- 3, 9
136- 2, 3, 4
1674- 2, 3, 6, 9
35496- 2, 3, 4, 6, 9
Write an algebraic expression that models the following statement:
Four times the sum of 'x' and '7'.
Answer:
4(x+7)
or 4x+28
Step-by-step explanation:
Here you go:)
Layla has a toy car collection of 400 toy cars. She keeps 85% of the toy cars on her wall. How many toy cars does she keep on her wall?
Answer:
340 cars
Step-by-step explanation:
400*0.85
which is 340
340 cars.
Hope this helps plz hit the crown :D
Determine the measures of angles C and D.
Answer:
c = 40 and d = 76
Step-by-step explanation:
this is going to take me a long time to explain but here we go
so you need to do 180 - 116 and get 64.
then create a equation that is like this 7y + 6 + 4y + 64 = 180
when you solve it you get y = 10
then plug in 10 in for y in 4y. and you get 40 for c
do the same for d and you will get 76
pls mark me brainleist because i didnt waster your time.
A certain company reported selling 5,000 toys during the month of January and expects sales to grow at a rate of 7.5% per month until the end of that year. How many toys should the company expect to sell by the end of June of that year?
Answer:
Answer is 36,220
Step-by-step explanation:
Sandra can run 5 miles per hour. Write an equation to show the relationship between the amount of hours, h, and the total distance, d. Explain how you got your answer.
Answer:
d=5h because the number of hours run multiplied by 5 would equal the
total distance.
Which expression is equivalent to (xy)z?
A (x+y)+z
B 2z(xy)
C x(yz)
D x(y+z)
Answer:
c
Step-by-step explanation:
Answer:
It's C Aka x(yz)
Step-by-step explanation:
I Just Got A lOO% When I Put That As My Answer On My Quiz On Edge. :)
The equation f equals 9/5 C + 32 relates temperature measured in degrees celsius C to degrees Fahrenheit f Determine whether there is a proportional relationship between C and F explain your reason
Given:
[tex]F=\dfrac{9}{5}C+32[/tex]
where, F is degree Fahrenheit and C is degree Celsius.
To find:
Whether there is a proportional relationship between C and F.
Solution:
We know that, proportional relations is defined as
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
where, k is constant of proportionality.
So, the line of proportional relationship passes through (0,0) and the equation must be true for (0,0).
If there is a proportional relationship between C and F, then the equation must be true for (0,0).
Substituting F=0 and C=0 in the given equation, we get
[tex]0=\dfrac{9}{5}(0)+32[/tex]
[tex]0=0+32[/tex]
[tex]0=32[/tex]
This statement is false because [tex]0\neq 32[/tex].
It means the line of given equation does not passes through (0,0). So, it s not a proportional relationship.
Hence, there is not a proportional relationship between C and F.
A machine is used to stamp bottle caps. If 150 bottle caps can be stamped in 30 s, the rate is _______ caps per second.
Answer:
5 bottle caps each second
Step-by-step explanation:
To find the unit rate, just divide the total number by the total time.
150/30
5
So 5 bottle caps per second
Find the perimeter of the figure below, composed of a rectangle and semicircle. Round to the nearest tenths place.
The perimeter of the given figure is 44.28 units.
Given that, from the figure length of a rectangle = 15 units, width of a rectangle = 4 units and the radius of a semicircle = 2 units.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Here, perimeter = Perimeter of a rectangle + Circumference of a semicircle
= 2(15+4) + 2πr/2
= 2×19 + 3.14×2
= 38 + 6.28
= 44.28 units
Therefore, the perimeter of the given figure is 44.28 units.
To learn more about the perimeter of a rectangle visit:
https://brainly.com/question/15287805.
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Which property of equality could be used to solve -3x = 348? addition property A.subtraction property B.division property C.multiplication property
Answer:
Division property
Step-by-step explanation:
you would need to set up your equation. Then divide -3x by -3 to get x alone. then you do 348 divided by -3 to get your answer
-3x=348
-3= -3
x=-116
What is the value of a3 in the sequence?
5, 10, 20, 40, 80...
Benji wrote the expression below to match the description "three less than the quotient of a number and nine" he wrote “3-n/9”explain benji's error
3) Ashley is buying a bagel for her friends for lunch. The person in front of her buys a half a dozen bagels (6) for $38.35. How much would she pay for her and 8 friends bagels?
Answer:
38.35/6 * 8
Step-by-step explanation:
In a video game, two objects move around the screen according to the equations r = 4cos(0) and r= -1 +
2cos(0). Which coordinates represent a possible collision point of the objects?
Answer:
The correct option is;
[tex]\left ( -2,\dfrac{2 \cdot \pi }{3} \right)[/tex]
Step-by-step explanation:
The given parameters are
The equation of motion of one (the first) object is r = 4·cos(θ)
The equation of motion of the other (the second) object is r = -1 + 2·cos(θ)
Equating both equations gives;
4·cos(θ) = -1 + 2·cos(θ)
4·cos(θ) - 2·cos(θ) = -1
2·cos(θ) = -1
cos(θ) = -1/2
θ = Arccos(-1/2) = 120° = 2·π/3
Therefore, the two equations are equal when θ = 2·π/3 for which we have;
r = 4·cos(2π/3) = -2 and r = -1 + 2·cos(2π/3) = -2
∴ r = 4·cos(2π/3) = -1 + 2·cos(2π/3) = -2
The coordinate that represents a possible collision point of the objects in the form (r, θ) is therefore [tex]\left ( -2,\dfrac{2 \cdot \pi }{3} \right)[/tex]
Hence, The coordinate that represents a possible collision point of the objects in the form (-2, [tex]\frac{2\pi }{3}[/tex])
Given that ,
The first object is moving around the screen r = 4 cos(0)
The second object is moving around the screen r = -1 + 2cos(0)
We have to find ,
The coordinates represent a possible collision point of the objects.
According to the question,
Coordinate represent collision points to object ,
Equating both equations ;
4·cos(θ) = -1 + 2·cos(θ)
4·cos(θ) - 2·cos(θ) = -1
2·cos(θ) = -1
cos(θ) = -[tex]\frac{1}{2}[/tex]
θ = [tex]cos^{-1} (\frac{1}{2} )[/tex] = 120°
[tex]\theta[/tex] = [tex]\frac{-2\pi }{3}[/tex]
Therefore, the two equations are equal when θ = [tex]\frac{2\pi }{3}[/tex]
We have;
r = 4·cos([tex]\frac{2\pi }{3}[/tex]) = -2
And r = -1 + 2·cos([tex]\frac{2\pi }{3}[/tex]) =
r = -2
r = 4·cos([tex]\frac{2\pi }{3}[/tex]) = -1 + 2·cos([tex]\frac{2\pi }{3}[/tex])
r = -2
The coordinate that represents a possible collision point of the objects in the form (r, θ) is therefore r = -2 and [tex]\theta = \frac{2\pi }{3}[/tex] .
Hence, The coordinate that represents a possible collision point of the objects in the form (-2, [tex]\frac{2\pi }{3}[/tex]) .
For the more information about Motion of Equation line click the link given below.
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The total cost, c, of buying Mickey Mouse Ears, where m is amount of ears bought and 1 magnet, is given by the formula c = 22m + 8. Which equation is equivalent to this formula when solved for m? *
1 point
m = (c - 8)/22
m = (c+ 8)/22
m = c/22- 8
m = c
What is the coefficient of the last term in the binomial expansion of (x + 1)9?
Answer:
1 is the coefficient of the last term in the binomial expansion
please help me this question
Step-by-step explanation:
Please mark me as the brainliest answer
Answer:
x^3 - 7x^2 + 72
Step-by-step explanation:
you just subtract both equations
A dog walker earns $10 plus $3 per dog. What equation represents this model?
0.612 as a simplified fraction
Answer:
153/250
Step-by-step explanation:
Answer:
153/250
Step-by-step explanation:
Which expression is equivalent to 16a+24b?
Answer:
the anwer is 8
Step-by-step explanation:
ur welcome
Can 6/-6 be simplified?
Answer:
yes. it would technically be -1
Step-by-step explanation:
Because fractions are technically division, 6 ÷-6 = -1
Answer:
yes it can be simplified to 6/6 thats the lowest term
Step-by-step explanation:
hoped it helped
can u give me a brainlist?