Answer:
d = 5t + 20
Step-by-step explanation:
d represents the distance and t represents the time, in hours
Let he equation which model this situation ⇒ d = a t + b
Where a and b are constant.
Let the gas station is the starting point
So, at gas station t = 0 , d = 20
∴ 20 = 0 * a + b ⇒ b = 20
When he reaches home 2 hours later notes that he has traveled 30 miles.
and with substituting with b = 20
∴ 30 = 2 * a + 20
2a = 30 - 20 = 10 ⇒ a = 10/2 = 5
∴ d = 5t + 20
The equations that can be used to model this situation d = 5t + 20
Samar likes to snack frequently during the day, but he wants his snacks to provide at least 24 grams of protein per day. Each snack pack provides 4 grams of protein and each minibite provides 1 gram. snack pack cost 50 cents each and minibites 12 cents. how many of each snack should he use to minimize his daily cost?
Answer:
24 minibites
Step-by-step explanation:
The cost of protein in the snack pack is ...
$0.50/(4 g) = $0.125/g
The cost of protein in the minibites is ...
$0.12/(1 g) = $0.120/g
Since the cost of protein is less for minibites, and the only criterion is the amount of protein, the lowest-cost snack mix is 24 minibites.
Answer:
24 minibites
Step-by-step explanation:hoped tt his helped
What is the equivalent of 20/100
For every 12 boys at the music camp, there are 18 girls. Which is the correct ratio of girls to total number of campers?
A.18 to 12
B.12 to 30
C.3:2
D.3:5
The ratio is 12:30 or if broken down 2:5
but the answer is 12 to 30 or 12:30
Answer:
The answer is D.
Step-by-step explanation:
There are 30 campers total. The ratio as a fraction is 18/30. If you reduce this, you get 3/5, or 3:5.
A student solves the equation StartFraction x + 3 Over 2 EndFraction = StartFraction 3 x + 5 Over 5 EndFraction using the steps in the table.
Original equation
StartFraction x + 3 Over 2 EndFraction = StartFraction 3 x + 5 Over 5 EndFraction
Cross multiplication
5 (x + 3) = 2 (3x + 5)
Distributive property
5 x + 15 = 2 (3 x + 5)
Subtraction property of equality
5 = x
Which method of solving for the variable could be used instead of cross multiplication?
distributing x + 3 and then 3x + 5 to both sides of the equation
distributing x – 3 and then 3x – 5 to both sides of the equation
using the multiplication property of equality to multiply both sides of the equation by 10
using the multiplication property of equality to multiply both sides of the equation by One-tenth
using the multiplication property of equality to multiply both sides of the equation by 10
Step-by-step explanation:
Given equation is:
[tex]\frac{x+3}{2} = \frac{3x+5}{5}[/tex]
One method to solve this equation is cross-multiplication which the student has used.
One of the alternate method can be multiplying both sides by the LCM of numerators of fractions on both sides
So multiplying both sides by 10 (multiplication property of equality)
[tex]\frac{x+3}{2} * 10 = \frac{3x+5}{5} * 10\\5(x+3) = 2(3x+5)\\5x+15 = 6x+10\\5x+15-10 = 6x\\6x = 5x+5\\6x-5x = 5\\x = 5[/tex]
The alternate method of LCM produces the same answer so the correct answer is:
using the multiplication property of equality to multiply both sides of the equation by 10
Keywords: Linear equations, variables
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Answer:
using the multiplication property of equality to multiply both sides of the equation by 10
Step-by-step explanation:
Which of the following best describes the set of even integers from 8 to 16
(8.16)
(8, 10, 12, 14, 16)
null set
[8, 9, 10, 11, 12, 13, 14, 15, 16)
Answer:
(8, 10, 12, 14, 16) is the set which describes the set of even integers from 8 to 16
Step-by-step explanation:
To find the set of even integers from 8 to 16 as below :
There are 8,10,12,14,16 even integers in between the numbers 8 and 16
Therefore (8, 10, 12, 14, 16) is the set which describes the set of even integers from 8 to 16
On a recent day 8 euros were worth 9 dollars and 24 euros were worth 24 dollars write an equation of the form y = kx
On a recent day, 8 euros were worth $9 and 24 euros were worth $27. Write an equation of the form y = kx to show the relationship between the number of euros and the value in dollars.
Answer:y = 1.125x is the equation to show the relationship between the number of euros and the value in dollars.
Solution:Given that On a recent day 8 euros were worth 9 dollars and 24 euros were worth 24 dollars
Let "y" be the value in dollars
Let "x" be the number of euros
We have to write a equation in form of y = kx
8 euros were worth 9 dollars
"k" is found as follows:
[tex]k = \frac{\text{value in dollars}}{\text{number of dollars}}[/tex]
[tex]k = \frac{9}{8}[/tex]
Therefore, equation of y = kx is given as:
[tex]y = \frac{9}{8}x[/tex]
[tex]y = 1.125x[/tex]
To check the equation, use the another given value
24 euros were worth $27
[tex]y = 1.125 \times 24\\\\y = 27[/tex]
Hence the equation y = 1.125x is correct
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PLEASE MARK BRAINLIEST!
Answer:
The best answer is 12.4 units.
Step-by-step explanation:
This is because, when I totaled all of the side lengths, I got an estimated result of 12 units. 12.4 is the next closest answer, so your answer is 12.4
I hope this helps!
- sincerelynini
Step-by-step explanation:
To get the right answer always you can use the save route: Pythagoras' theorem.
[tex] \sqrt{(x1 - x2)^{2} + (y1 - y2)^{2} } [/tex]
What is the value of b 3.2 = 4/5 ( b - 5 )
The value of b in the equation [tex]\( 3.2 = \frac{4}{5}(b - 5) \)[/tex] is 9.
To solve for b in the equation [tex]\(3.2 = \frac{4}{5}(b - 5)\)[/tex], we'll first distribute [tex]\(\frac{4}{5}\)[/tex] across b - 5:
[tex]\[3.2 = \frac{4}{5}b - \frac{4}{5} \times 5\]\[3.2 = \frac{4}{5}b - 4\][/tex]
Next, let's isolate the term containing b by adding 4 to both sides:
[tex]\[3.2 + 4 = \frac{4}{5}b\]\[7.2 = \frac{4}{5}b\][/tex]
Now, to solve for b, we'll multiply both sides by [tex]\(\frac{5}{4}\)[/tex] to isolate b:
[tex]\[b = 7.2 \times \frac{5}{4}\]\[b = 9\][/tex]
So, the value of b is 9.
if the measurement of the angle P is three less than twice the measure of angle Q and angle P and angle Q are supplementary angles. what is each angle measure
Answer:
Step-by-step explanation:
Let angle Q = x°
Angle P = (2x - 3)°
And angle P and Q are supplementary angle which implies there sum is 180°
x + 2x - 3 = 180
3x = 180 + 3
3x = 183
x = 183/3
x = 61°
Angle Q = 61°
Angle P = 2x - 3
Angle P = 2(61) - 3
Angle P = 122 - 3
Angle P = 119°
Point slope form. (9,-2) and (4,2)
Step-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
(x₁, y₁) - point on a line
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (9, -2) and (4, 2).
Substitute:
[tex]m=\dfrac{2-(-2)}{4-9}=\dfrac{2+2}{-5}=-\dfrac{4}{5}[/tex]
Put the value of a slope and coordinates of first or second point to the equation of a line:
[tex](9,\ -2),\ m=-\dfrac{4}{5}\\\\y-(-2)=-\dfrac{4}{5}(x-9)\\\\\boxed{y+2=-\dfrac{4}{5}(x-9)}\\\\(4,\ 2),\ m=-\dfrac{4}{5}\\\\y-2=-\dfrac{4}{5}(x-4)}[/tex]
F(x)=-5x
G(x)=8x^2-5x-9
Find (f•g)(x)
A.-40x^4+25x^3+45x^2
B.-40x^3-5x-9
C.-40x^2+25x+45x
D.-40x^3+25^2+45x
Answer: D. -40x^3 + 25x^2 + 45x
Step-by-step explanation:
-5x(8x^2 - 5x - 9)
-40x^3 + 25x^2 + 45x
pls help 10 points!!!
Answer:
3rd one
Step-by-step explanation:
The population of Cincinnati is 301,305 people. If 28.7% of people in Cincinnati live poverty, how many people live in poverty
Answer:
86,475 people live in poverty.
Step-by-step explanation:
We are given that the Total Cincinnati population is [tex]X_{TOT}=301,305[/tex] people.
We want to find the [tex]28.7[/tex]% of the Total population that lives in poverty. To do so we can use:
[tex]X_{POV}=\frac{28.7}{100}X_{TOT}[/tex]
where [tex]X_{POV}[/tex] is the amount of people that live in poperty. Plugging in values and solving we have:
[tex]X_{POV}=\frac{28.7}{100}301,305 \\X_{POV}=0.287*301,305\\X_{POV}=86,474.535[/tex]
However since here we are referring to number of people (i.e. population) we can not accept any irrational values so we need to round up our value so that
[tex]X_{POV}=86,475[/tex] people live in poverty in Cincinnati.
To find how many people live in poverty in Cincinnati, multiply the city's total population by the given percentage (expressed as a decimal). In this case, it is 301,305 * 0.287, which equals 86,574. Thus, an estimated 86,574 people live in poverty in Cincinnati.
Explanation:To find out how many people live in poverty in Cincinnati, you need to calculate 28.7% of the city's total population. To calculate the percentage of a number, you can multiply that number by the percentage expressed as a decimal. The calculation will look like this:
Population x Percentage = Number of people in poverty
So, it will be:
301,305 x 0.287 = 86,574.135
Normally in population estimates, we don't count fractions of people, so we'll round this down to the nearest whole number. Therefore, the number of people living in poverty in Cincinnati is approximately 86,574.
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PLZZZZZ HELP!!!!
What idea, achievement, or life event is associated with Aristotle?
condemned to death by poison
tutored Alexander the Great
thought philosopher-kings should run the government
Answer: B) Tutored Alexander The Great
Step-by-step explanation: k12 test 1.12, :)
You estimate that a baby pig weighs 20 pounds. The actual weight of the baby pig is 16 pounds. Find the percent of error
Answer:
U were 20% off
Ure estimate was 80%
Step-by-step explanation:
16/20 is 80%
100%-80% is 20%
Is the graphed function linear?
400
300
Yes, because each input value corresponds to
exactly one output value.
Yes, because the outputs increase as the inputs
increase
* No, because the graph is not continuous
200
No, because the curve indicates that the rate of
change is not constant.
100
4
6
to know if something is linear when you graph it it is always going to be in a straight line. if it isn't then it is not linear
Answer:
D
Step-by-step explanation:
i got it right on E2020
f(x)= x2-5x+2. Find f(-4)
Answer:
f ( 4 ) = 18
Step-by-step explanation:
Explanation:
f ( x ) = 5 x − 2
Replace 4 instead of x to find f ( 4 )
f ( 4 ) = 5 ( 4 ) − 2 = 20 − 2 = 18
The value of f(-4) for the function f(x) = x^2 - 5x + 2 is 38.
Explanation:To find the value of f(-4) for the function f(x) = x^2 - 5x + 2, you substitute -4 for x in the function.
It looks like this:
f(-4) = (-4)^2 - 5(-4) + 2
First, you square -4, which is (-4)^2 = 16.
Then, you calculate -5 times -4, which is 20.
Finally, you add 2 to the result.
So, f(-4) is equal to:
f(-4) = 16 - 20 + 2 = 38
The final answer is 38.
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Which statements are true about the ordered pair (-3, 1) and the system of
equations?
(x - 4y = 6
| 3x + y = -8
Select each correct answer.
The ordered pair
is a solution to the first equation because it
makes the first equation true.
The ordered pair (-3, 1) is a solution to the second equation
because it makes the second equation true.
The ordered pair
is not a solution to the system because it
makes at least one of the equations false.
is a solution to the system because it
The ordered pair
makes both equations true.
The ordered pair (-3, 1) is not a solution to system because it makes at least one of the equations false
Solution:
Given system of equations are:
x - 4y = 6 ------- eqn 1
3x + y = -8 ------------ eqn 2
Given ordered pair is (-3, 1)
We have to check if the options are true
Let us substitute (x, y) = (-3, 1) in eqn 1
[tex]-3 - 4(1) = 6\\\\-3 - 4 = 6\\\\-7\neq 6[/tex]
Thus the given ordered pair (-3, 1) did not satisfy the first equation
Substitute (x, y) = (-3, 1) in eqn 2
[tex]3(-3) + 1 = -8\\\\-9 + 1 = -8\\\\-8 = -8[/tex]
Thus the given ordered pair (-3, 1) satisfied the second equation
But for a ordered pair to be a solution to system of equations, it must satisfy both the equations
Thus the ordered pair (-3, 1) is not a solution to system because it makes at least one of the equations false
Olivia goes shopping with a friend and notices her friend's fashionable winter boots. She thinks about the recent cool weather and realizes she needs to buy a pair. In which stage of the consumer purchase decision process was Olivia when she had this realization?
Answer:
Problem Recognition Stage (the first stage)
Explanation:
The "Consumer Buying Decision Process" consists of 5 stages. These are: Problem Recognition, Information Search, Evaluation of Alternatives, Purchase Decision and Post-Purchase Evaluation. This information is commonly used by marketing businesses in order to know the habit or behavior of people upon buying goods and services.
Olivia's situation above is in the "Problem Recognition" stage. This is the first stage of the process. She realizes that she needs the winter boots because of the cool weather and thus, she realizes that she has a need or a problem that she wanted to solve. Buyers recognize this problem as a gap in their needs, thus they want to fill it immediately once they recognize it. This will be followed by "Information Search," a time whereby she'll consider some options in buying boots.
Thus, this explains the answer.
The total of 3 games is $38.97 . Each game costs the same amount. Write an equation that can be used to determine n , the cost of 1 game
Answer:
Step-by-step explanation:
3games cost38.97 so you have to divide 38.97divided by 3=12.99 so each game was 12.99 a game
To determine the cost of 1 game, set up an equation: 3n = $38.97. Divide both sides of the equation by 3 to isolate n. The cost of one game is $12.99.
Explanation:To find the cost of one game, we can set up the equation 3n = $38.97based on the given information. where n represents the cost of one game. Since each game costs the same amount, we can write the equation:
3n = $38.97
Divide both sides of the equation by 3:
n = $38.97 / 3
Dividing both sides of the original equation by 3 is a way to undo the multiplication by 3 on the left side, thereby isolating the variable n.
When we perform this division, we find that n is equal to $12.99.
n = $12.99
Therefore, the cost of one game is $12.99.
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Kate's new juicer is able to squeeze
3
4
of a cup of orange juice from
1
12
of a bag of oranges. Compute the unit rate of cups per bag of oranges?
Answer:
9 cups per bag
Step-by-step explanation:
1/12 bag = 3/4 cup
12/12 bag = ? cup
1/12 × 12 = 12/12
3/4 × 12 = 36/4
36/4 = 9
Answer: 9 cups per bag
Step-by-step explanation: Apply the division rule of fractions: multiply the numerator by the reciprocal of the denominator.
3/4
1/12
=
3/4
×
12/1
=
36/4 = 9 cups per bag
(3x+6)(4x+2) what is the answer
Answer:
12x^2 + 30x + 12
Step-by-step explanation:
Expand the equation using FOIL (First Outside Inside Last)
Hope this helps! :]
PLEASE ITS MY LAST QUESTION ON THIS ASSIGNMENT PLS PLS
The ratio of the angle measures of a triangle are 1:2:2. What type of triangle is this?
acute triangle
right triangle
obtuse triangle
equiangular triangle
Answer:
The answer is NOT D, because clearly the angle measurements are not EQUAL. So cross that off. My best guess would be A, acute triangle. Usually for that the two angles are shown as the same and the top angle is usually smaller. That's just from picturing it in the head.
Step-by-step explanation:
Can I have brainliest
Answer: The Answer is acute triangle
3X plus 3Y equals -18 and negative 2X plus 2Y equals -4 find a solution set
Answer:
The vaues to the given equations are x=-2 and y=-4
Therefore the solution set is (-2,-4)
Step-by-step explanation:
Given equations are [tex]3x+3y=-18\hfill (1)[/tex]
[tex]-2x+2y=-4\hfill (2)[/tex]
To solve the given equation to find the solution set :
Multiply the equation (1) into 2 we get
[tex]6x+6y=-36\hfill (3)[/tex]
Multiply the equation (2) into 3 we get
[tex]-6x+6y=-12\hfill (4)[/tex]
Now adding the equations (3) and (4) we get
[tex]6x+6y=-36[/tex]
[tex]-6x+6y=-12[/tex]
________________
[tex]12y=-48[/tex]
[tex]y=\frac{-48}{12}[/tex]
Therefore y=-4
Substitute the value of y=-4 in the equation (1) we get
[tex]3x+3y=-18[/tex]
[tex]3x+3(-4)=-18[/tex]
3x-12=-18
3x-12+12=-18+12
3x=-6
[tex]x=\frac{-6}{3}[/tex]
Therefore x=-2
The vaues to the given equations are x=-2 and y=-4
Therefore the solution set is (-2,-4)
What is 6x-5y=22
y= -8
which ordered pair in the form (x,y) is a solution of the equation 7x-5y=28
Answer:
(4 ,0) is a solution
Step-by-step explanation:
7(4) - 5(0) = 28 - 0 = 28
Step-by-step explanation:
there are more answers.. i get.two answers
x=9:y=7 and x=4;y=0
factorise 9f²-12f plus 4
Answer:
(3f - 2)²
Step-by-step explanation:
Given
9f² - 12f + 4
Consider the factors of the product of the coefficient of the f² term and the constant term which sum to give the coefficient of the f- term.
product = 9 × 4 = 36 and sum = - 12
The factors are - 6 and - 6
Use these factors to split the f- term
9f² - 6t - 6t + 4 ( factor the first/second and third/fourth terms )
= 3f(3f - 2) - 2(3f - 2) ← factor out (3f - 2) from each term
= (3f - 2)(3f - 2)
= (3f - 2)²
Answer:
9f² - 12f + 4 = (3f - 2)²
Step-by-step explanation:
9f²-12f+4 =
= (3f)²-2×(3f)×(2)+2²
= (3f-2)²
What is the equation of a line with a slope of -2 that passes through the
point, (-2, 12)?
O A. y = 4x-2
O B. y = -2x+6
O C. y = -2x+8
O D. y=-2x+4
SUBMIT
Answer:
O B. y = -2x+6
Step-by-step explanation:
can plz someone help me
The ball that reached the highest is Mario's because his reached past 10 whereas Jasmine's was 7.8. The ball that went the farthest is Jasmine's.
Use the graph method to solve the system of linear equations: y = -2x + 1 and y = x - 2 A) (-1, -1) B) (-1, 1) C) (0, 2) D) (1, -1)
Answer:
x=1, y=-1. (1, -1).
Step-by-step explanation:
y=-2x+1
y=x-2
------------
-2x+1=x-2
-2x-x=-2-1
-3x=-3
3x=3
x=3/3
x=1
y=1-2=-1