Please check the attached image for the answer. Hope this helps :)
A family has a hybrid car that gets 40 miles per gallon (mpg) and a pickup truck that gets 17 mpg. They drive at least 500 miles per week using both vehicles but don't want to use more than 20 gallons of gas. Make a recommendation for using each vehicle. Part A Write an expression that represents the total amount of gasoline used. Then write an inequality to show the maximum amount of gasoline that the family wants to use. Define the variables and list any constraints on the variables.
Answer:
[tex]Z=x+y[/tex]
[tex]x+y<20[/tex]
Step-by-step explanation:
Let the gallons of fuel used in the hybrid per week car be [tex]x[/tex] and [tex]y[/tex] be the number of gallons used in the pickup truck per week.
Number of miles driven using both vehicles is at least 500 per week. The inequality that represents the number of miles driven is.
[tex]40x+17y\geq 500[/tex]
The expression of total amount of fuel used would be [tex]Z=x+y[/tex].
Now the sum of the fuels used in both the cars is more than 20 gallons per week. The inequality that represents the total amount of gasoline used is
[tex]x+y<20[/tex]
Plz help I’m stuck and I can’t answer
Answer: the first one is 14 and the second one is 5
Step-by-step explanation:
What is the measure of x? *
X
80°
180 degrees
100 degrees
80 degrees
360 degrees
Answer: 80 degrees
Step-by-step explanation:
Answer:
80 degrees!
Step-by-step explanation:
There's this weird phenomenon with parallel lines, that if you trace a line over it, you would get the same angle on the opposite side of the line.
i need help pls pls pls
Answer:
there is no picture??????????
Please help me thanks in advance it is much appreciated!!
Answer:
Step-by-step explanation:
C
Answer:
Yes, because two pairs of corresponding angles in the triangle are congruent. So the answer is A.
Step-by-step explanation:
Corresponding angles is an angle that is in the exact same spot as the other angle and they are congruent to each other which means that they have the same measure/number.
As the picture shows both triangles have all of their angles as the same measures.
one week, kristi worked 3 days at a department store for 3 and a half hours each day. She was paid $9/h. How many hours did kristi work that week?
Volume of Spheres
Volume of Spheres
Answer: V=500 cm³
Step-by-step explanation:
D=10 cm
[tex]\displaystyle\\r=\frac{D}{2} \\\\r=\frac{10}{2} \\\\r=5\ cm\\\\ V=\frac{4}{3} \pi r^3\\\\V=\frac{4*3*5^3}{3} \\\\V=4*5^3\\\\V=4*5*5*5\\\\V=500\ cm^3[/tex]
the ratio of the measures of the sides of a triangle is 2:10:7 find the length of each side of the perimeter of the triangle is 228 meters
Answer:
Length of side 1 = 24 m
Length of side 2 = 120 m
Length of side 3 = 84 m
Step-by-step explanation:
The ratio of each side of triangle is: 2:10:7
Perimeter of triangle = 228 meters
We need to find the length of each side.
Let the common ratio be x
We can write the ratios as: 2x,10x and 7x
Length of side 1 = 2x
Length of side 2 = 10x
Length of side 3 = 7x
Using the formula: [tex]Perimeter\:of\:triangle=Sum\:of\:all\:sides\:of\:triangle\\[/tex]
Putting values and finding x:
[tex]Perimeter\:of\:triangle=Sum\:of\:all\:sides\:of\:triangle\\\\228=2x+10x+7x\\19x=228\\x=\frac{228}{19}\\x=12[/tex]
So, we get value of x=12
Now, finding length of each side by putting x=12:
Length of side 1 = 2x =2(12) = 24
Length of side 2 = 10x = 10(12) = 120
Length of side 3 = 7x = 7(12) = 84
So,
Length of side 1 = 24 m
Length of side 2 = 120 m
Length of side 3 = 84 m
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
The slope of the line shown is 1
Slope of a lineThe formula for calculating the slope of a line is expressed according to the formula
Slope = Rise/Run
Slope = y₂-y₁/x₂-x₁
Using the coordinate point (1,-2) and (3, 0)
Slope = 0+2/3-1
Slope = 2/2
Slope = 1
Hence the slope of the line shown is 1
Learn more on slope of a line here: https://brainly.com/question/16949303
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David has 84 candy bars to sell. His seven aunts told him they would split the candy bars
between them. How many candy bars will each aunt need to buy for David to sell all of
his candy?
15
12
8
23
Answer:
12
Step-by-step explanation:
Select True or False for each statement.
True
False
A straight line on a coordinate plane always represents a function
O
The equation y = 2x + 1 represents a function
O
Answer:
1st. false
2nd. true
Step-by-step explanation:
Itll only be considered a function when it passed the vertical line test.
The equation y=2x+1 is a linear function
20 points please help What is the name of the ray shown? A. ga B. ag C. ag D. ga
The name of the ray shown would be: C. ray AG.
What is a Ray?A ray can be defined as a part of a line which has a fixed starting point that is called an endpoint and extends to infinity towards the opposite direction of the fixed point, called the endpoint.
How to name a Ray?The first letter to use when naming a ray is the letter of the endpoint, which is the starting point of the ray, then use another letter that the ray passes through to infinity. There would be only one arrow head facing the right, drawn on top of the letters used in naming the ray.
The image shows an endpoint of A, which marks the starting point. The line extends from G to infinity as well.
Therefore, the name of the ray shown would be: C. ray AG.
Learn more about ray on:
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Help me with this question please! I’ll mark you brainlist and give 5 stars for this!
Answer: That is the correct answer
Step-by-step explanation:
for the first one the answer is A. x + 84 = 180
the second one is C. AB/DC = WX/ZY
mowing lawns earns $10.00 for 1 hour and $42.00 for 5 hours. what is the slope
Answer:
The slope is $8 per hour
Step-by-step explanation:
Here, we want to get the slope of the relation
Mathematically, that will be;
m = y2-y1/x2-x1
Where ; (no of hours, money) represents each point
Thus, we have it that
m = (42-10)/(5-1) = 32/4 = $8/ hour
HELP FOR BRAINLIEST!!
Answer:
Rider A=20km/hour
Rider B= 24km/hour
Step-by-step explanation:
Easy find slope rise over run
Rider A=20km/hour
Rider B= 24km/hour
to find rider b slope do 72/3 =24
-5 = w-3 what is w
please help
Answer
w=-2
Step-by-step explanation:
-5=w-3
-5+3=w-3+3
-2=w
plezz give me brainiest
What is the slope of the line that passes through the points (5, -2) and (7, -8)?
-5
-3
-5/6
-1/3
(also i have other questions if you can view the ones on my profile and answer them tysm)
Answer:
The slope is -3.
Step-by-step explanation:
The slope is equal to the change in y over the change in x.
First, we take the two y values, -2 and -8, and subtract the SECOND from the FIRST: -2 - (-8) = -2 + 8 = 6 (= change in y)
Second, we take the two x values, 5 and 7, and subtract the SECOND from the FIRST: 5 - 7 = -2 (= change in x)
Finally, we make a fraction, the change in y over the change in x:
6/-2 = -3
The slope is -3.
Y=-2/5x-4 find slope and y intercept
Answer:
slope= -2/5
y intercept is (0,-4)
Step-by-step explanation:
Blank quarts =1/2 gallon
Answer:
It equals 2.4019 quarts.
Step-by-step explanation:
i would appreciate if you rate this a 5 and heart it. brainliest is up to you <3
- gibazy
As a reward for winning a math competition, 26 students in the 7th grade visited a theme park. On one ride, 3 equal groups of students could be seated and 2 students were left over. Write and solve an equation to find how many students could be seated in each group.
Answer: in each group, there are 8 students.
Step-by-step explanation:
We have a total of 26 students.
If we separate them into 3 equal groups (suppose that each group has X students) and leave 2 students left, we will have the relation:
3*X + 2 = 26
This means that 3 times the number of students in each group, plus the two students leftover must be equal to the initial number of students.
Now we can solve this for X.
3*X + 2 = 26
3*X = 26 - 2 = 24
X = 24/3 = 8
X = 8
This means that in each group there are 8 students.
sqdancefn
pls help these questions I got wrong
9514 1404 393
Answer:
1. B, E
2. A, E
16. B'(1, 5)
Step-by-step explanation:
Lines p and r are parallel, as are lines a and b. Either of the lines in one parallel pair is perpendicular to the lines in the other parallel pair. Line q has no necessary relation to anything, so can be ignored. (No answer containing q can be correct.)
__
1. p ⊥ b
r ⊥ a
__
2. r║p
a║b
__
16. Point B(3, 2) translated (right, up) = (-2, 3) will be ...
B' = B + (-2, 3) = (3, 2) +(-2, 3) = (3 -2, 2 +3)
B' = (1, 5)
Note: (x, y) coordinates are (right, up). So, in translation problems it is important to pay attention. Often, the up/down translation is listed before the left/right translation. If you're not paying attention, you may inadvertently reverse the numbers that need to be added to the coordinates to do the translation.
Plssss helppp meeeeee
HELP NEEDED ASAP!! Amani computed in a two-way table the relative frequencies of sales of homes listed with two different real estate
companies.
Home Sales by Real Estate Company
Sold in
100 Days or Less
44.5%
45.1%
Did Not Sell
within 100 Days
55.5%
54.99
Company A
Company B
Which statement best describes the relationship between the two variables?
O There is an association because the relative frequencies by column are similar,
There is an association because the relative frequencies by row are similar.
There is no association because the relative frequencies by column are similar,
There is no association because the relative frequencies by row are similar.
Answer:
C
Step-by-step explanation:
a bacteria culture starts with 420 bacteria and grows at a rate proportional to its size. after 6 hours there will be 2520 bacteria.
Population growth rate of the bacterial culture can be expressed as a function of time as N = [tex]e^{kt + C}[/tex]
Step-by-step explanation:
If we assume the number of bacteria at any time (t) is (N). Then, the population of bacterial culture at that time is given by
N = N (t)
It is also given that the rate at which the bacterial culture will grow is proportional to its size. So, the growth rate is given by
dN/dt ∝ N
Removing the sign of proportionality, we get a constant
dN/dt = KN
We get
∫1/N dt = ∫K dt
After integration
ln N = Kt + C
N = [tex]e^{kt + C}[/tex]
You can learn more about population growth rate from
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The question is incomplete. Therefore, the complete question is
A bacteria culture starts with 520 bacteria and grows at a rate proportional to its size. After 6 hours there will be 3120 bacteria. ?
1) Express the population after t hours as a function of t. population:
An artist bought twine for a project,and she traveled by bus when shopping for the twine.The total cost of her project,$17.50,included both the cost of the 5.8 yards of twine she bought and $3 in bus fares. Which of these shows the correct equation to determine the cost of the twine per yard along with the correct solution?
Answer:
it’s A
Step-by-step explanation:
It would be 17.50=5.8x+2
Cost:$2:50 per yard
Please help me with this. 3 pieces of gum cost 25 cents. How many pieces of gum can you buy for $1.00?
Answer:
12 pieces
Step-by-step explanation:
There are four 25 cents in a dollar, as a dollar is 100 cents and 100 divided by 25 is four. So as 3 pieces cost 25 cents, multiply 3 by 4 which is 12.
12 pieces of gum would cause $1.00
Answer:
You can get 12 pieces of gum.
Step-by-step explanation:
3 pieces is 25, right? so now to make a dollar you can have four of 25 cents, so multiply, 3x4. You get 12. so you can buy 12 pieces of gum.
Magical Gizmos has determined that their costs can be modeled by the function C(x) = 2x ^ 2 - 3x + 7 and their sales can be modeled by the function
R(x) = 2x ^ 2 + 7x - 23
Determine the number of gizmos they need to sell in order to Break Even.
Please help :(
invalidated and no score will be calculated for you. ... Utilize the information provided for each question to determine your ... the questions or answers prior to the examination and that you have ... 2 The solution of an equation with two variables, x and y, is ... 11 Which function has the greatest y-intercept?
Find the sum of :
3 7
-4- +2
12
Answer:
245 i hope and swer its ok
Step-by-step explanation:
ILL GIVE BRAILIST PROMISE HURRRRYYYYYY
Answer:
2 2/9
Step-by-step explanation:
3 3/5 = 18/5
8/1x5/18=40/18=2 4/18=2 2/9
What’s the square root of 36
Answer:
6
Step-by-step explanation:
sqrt(36) = 6
Answer:
1296
Step-by-step explanation:
36 x 36 = 1296