Answer:
Option 1 will give a better overall mileage.
Step-by-step explanation:
The husband and wife travel the same number of miles each week.
Let's say each one travels x miles in 1 week.
Let e = fuel economy in mpg
Let v = amount of fuel in gallons
Let d = distance in miles
e = d/v
ve = d
v = d/e
Before modifying cars:
Wife:
d = x
e = 13
v = d/e = x/13
Husband:
d = x
e = 65
v = d/e = x/65
Combined fuel they both use in 1 week:
x/13 + x/65 = 5x/65 + x/65 = 6x/65 = 0.0923x
Option 1:
Wife changes to:
d = x
e = 15
v = d/e = x/15
Husband remains the same.
Combined fuel they both use in 1 week:
x/15 + x/65 = 13x/195 + 3x/195 = 16x/195 = 0.08205x
Option 2:
Husband changes to:
d = x
e = 80
v = d/e = x/80
Wife remains the same.
Combined fuel they both use in 1 week:
x/13 + x/80 = 80x/1040 + 13x/1040 = 93x/1040 = 0.08942x
The total fuel used in 1 week by both in terms of the miles, x, driven by both are:
Original case: 0.0923x
Option 1: 0.08205x
Option 2: 0.08942x
The lowest amount of fuel is 0.08205x in option 1.
Answer: Option 1 will give a better overall mileage.
PLLSSSSS HELPPPP I DONT GET THIS AT ALL
Answer:
[tex]y\leq 4[/tex]
Step-by-step explanation:
The range is about the y values, and by looking at this parabola we can see that the maximum value is a 4. So the range would be the maximum and below (where the parabola extends to). So the values in the range would be equal to 4 and less than since the parabola is negative.
Hope this helps :)

A.5,8 and 4,5
B.5,8 and 4,3
D. 4,5 and 4,3
Please help
Answer:
b
Step-by-step explanation:
What the perimeter of the triangle
Answer:
24
Step-by-step explanation:
so multiplies see och the rest of the world and the second half and the other hand if you have a good and the second one is the only way only a and the other is the first time I saw one he and only best o
Answer:
33b-8 is the perimeter
Step-by-step explanation:
Triangle is an Isosceles triangle so two side is equal
2(12b - 8) + 9b + 8
Distribute
24b - 16 + 9b + 8
Combine like terms
33b -8
You compare the number of words per sentence in a sports magazine to the number of words per sentence in a fashion magazine. The double box-and-whisker plot shows the means of 200 random samples of 20 sentences in each magazine. Which is the best conclusion based on the double box-and-whisker plot?
Answer:
The number of words per sentence is generally greater in the fashion magazine than in the sports magazine.
Step-by-step explanation:
Help asapppppp!!!!!!!!!
Carla and Andrew have 29 puppies. Andrew has 8 more than twice Carla How many puppies does person have?
Answer:
Andrew has 22 puppies, Carla has 7 puppies.
Step-by-step explanation:
Let's set up an equation.
Carla and Andrew have 29 puppies.
C + A = 29
Andrew has 8 more than twice Carla.
A = 2C + 8
Let's use substitution by plugging A into C + A = 29.
A = 2C + 8 & C + A = 29
C + (2C + 8) = 29
Now, let's combine like terms.
3C + 8 = 29
Subtract 8 from both sides.
3C = 21
Divide both sides by 3.
C = 7
Carla has 7 puppies. Plug in this value back into C + A to find how many puppies Andrew has.
C + A = 29
7 + A = 29
A = 22
Andrew has 22 puppies.
Let's check our work. Plug in Andrew and Carla's number of puppies back into our original equations.
C + A = 29
7 + 22 = 29
29 = 29
Correct!
A = 2C + 8
22 = 2(7) + 8
22 = 14 + 8
22 = 22
Your answer is correct!
Hope this helps!
Sixth grade
Y.18 Identify equivalent expressions I KFG
Which expression is equivalent to 3(4n + 1)?
12n + 3
12n + 1
3n + 12
4n + 3
if the area of rectangle is 96 CM if breadth is 8 then find length
Answer:
Step-by-step explanation:
Rectangle area formula is : Width* Length = Area
So:
8cm*L = 96cm
L = 96cm/8cm
L = 12cm
Formula of Area of a rectangle : l×b
96=l×8
l= 96/8
l= 12
Answer : The length of the rectangle mentioned above is 12 cm.
Do Now
You decide to bake Banana Bread. The recipe calls for 1 1/2 bananas, to 2 1/2 cup of
flour, to 1 cup of sugar. You only have 1 cup of flour to use. What is the new ratio
for the other two ingredients using this unit rate of flour?
Answer:
1 banana, 1 cup flour, 2/3 cup sugar
Step-by-step explanation:
The vertex will ALWAYS be on the axis of symmetry.
True
False
Answer:
False the vertex will not always be on the axis of symmetry.
(I may be wrong, please don't be mean its what I was taught)
uhh i dont understand but if you do all of these I will give you brainliest on all of your answers it
Answer:
Step-by-step explanation:
Which of the following represents a sum from the expression given?
A. 21
B. 2
C. 13x2
D. 13x2 + 8x
Work out the area of the triangle. 13m 12m and 5m
Answer:
30m²
Step-by-step explanation:
To find the area of a triangle, you need to ensure that the triangle is a right-angled triangle. We can use the Pythagoras Theorem to help us prove that.
a² + b² = c²
5² + 12² = 169
13² = 169
By converse of Pythagoras Theorem, the triangle is a right-angled triangle.
Thus, you can directly find the area of the triangle using the formula: base × height ÷ 2.
Area = 12 × 5 ÷ 2
= 30m²
There are 4 red marbles and 7 blue marbles in a bay.
(a) What is the ratio of all marbles in the bag to blue marbles?
(b) What is the ratio of all marbles in the bag to red marbles?
Answer:
a: 11:7
b: 11:
I hope this helped :)
Evaluate the expression when x=-5, y=-3, and z=-2
y+z/x
Answer:
-2.6
Step-by-step explanation:
[tex] - 3 + \frac{ - 2}{ - 5} \\ = - 3 + \frac{2}{5} \\ = - 3 + 0.4 \\ = - 2.6[/tex]
what is 64x6+27 written as a sum of cubes?
Answer:
To transform the given expression to the sum of cubes, calculate first the cube root of the terms. The cube root of the first term, 64x^6 is 4x^2 and that of the second term, 27 is 3.
Thus, the answer to this is (4x^2)^3 + 3^3
someone, please help!
sorry im in 6th grade i dont know
Answer:
The answer is B
Step-by-step explanation:
for which equation is x = 5 a solution? say yes or no
Answer:
C and D
Explanation:
A. x = 5/5 = 1 NoB. x = 15-5 = 10 NoC. x = 5+0 = 5 YesD. x = 5×1 = 5 Yesthe height of the rectangular box is 4 times its width, and its length is 2 in more than its width. the volume of the box is 60in^3
Step-by-step explanation:
height= 4b
length = 2 + b
volume = 60in³
or, l ×b × h = 60in³
or, (2+b) × b × 4b = 60in³
or, 4b²(2+b) = 60in³
or, 8b² + 4b³ = 60
or, 2b² + b³ = 15
or, b³ + 2b² -15= 0
b= 1.95
l= 2+1.95=3.95
h= 4×1.95 = 7.8
help me i would really appreciate it. please.
Answer:
-13
Step-by-step explanation:
As you can see C = 5 X = -4
so what you can do is put the numbers in the equation
-(5) + 2(-4) = -13
brackets represents times
and then use your calculator or mental sum
Answer:
-13
Step-by-step explanation:
c = 5
x = -4
-c + 2x
-5 + 2(-4)
-5 - 8
-13
How would you graph a line through the point (-2, -5), with a slope of 2/7? Be specific.
First, you would plot the point (-2,-5). The next part requires an understanding of what slope is. My teacher told me slope was "rise over run." Basically, the numerator is how much the value of y increases when x increases by the number that's in the denominator. What that means is, when you add 7 to the x value, you add 2 to the y value. You can use this to find another point to graph.
(-2+7,-5+2)
=(5,3)
You can plot this point and draw a line through both points, and you're finished.
Another thing could do is draw a slope triangle. Draw a line (segment) from (-2,-5) for 7 units in the direction of the x-axis. Draw a line (again, a segment, really. We have to be technical xD) from where that segment ends for 2 units in the direction of the y-axis. Plot a point where that ends, and it should be (5,3). Draw a line through (5,3) and (-2,5), and you're done.
Hope I could help you!
in an arithmetic sequence, the sum of the first n terms is s_n=n^2. find a_8
i'm not sure how to do this, so yeah
Answer:
[tex]a_{8} = 15[/tex]
Step-by-step explanation:
[tex]a_{1} + a_{2} + ..... + a_{7} + a_{8} = 8^{2} = 64[/tex]
[tex]-a_{1} - a_{2} ..... - a_{7} = - 7^{2} = -49[/tex] Now add the two equations
[tex]a_{8} = 64 - 49 = 15[/tex]
[tex]a_{8} = 15[/tex]
This is not a math question but are schools handing out Report cards this year?
If the simple interest on $7,000 for 6 years is $2,100 then what is the interest rate?
Answer:
your not even helping anyone but only steeling thee points
Step-by-step explanation:
Answer:
0.03 or 3%
Step-by-step explanation:
I = Prt
r = I/(Pt)
r = 1200/(7000 * 6)
r = 1200/42000
r = 0.03
1.4, 16, 64, 256 This sequence is geometric
true or false
Answer:
YESStep-by-step explanation:
[tex]\dfrac{256}{64}=\dfrac{64}{16}=\dfrac{16}{4}=4[/tex]
Common ratio means geometric sequence.
Simplity
the ratios
a
55:12
b. 6cm: 126cm:12 cm
Answer:
A. 55:12
Step-by-step explanation:
Sana nakatulong
Cyriarra earns $11 each hour she works. Which table represents the relationship between the number of hours she works and her earnings?
Answer:
A
Step-by-step explanation:
you don’t make money for working 0 hours
Answer:
A
Step-by-step explanation:
If you multiply the number of hours by 11, you get the correct amount of earnings ($)
Consider the series 1/4 1/8 1/16 1/32 What is an expression of Sn for the series shown?
Answer:
c
Step-by-step explanation:
edg 21 ^u^
Answer:
The person above me is correct. :D
Step-by-step explanation:
1) If the given sequences are Geometric sequence then find the next two terms.
A) -1,1,4__,____
B) -3, 15, -75,___,___
Answer:
a. 8, 13 b. 375, -1875
Step-by-step explanation:
a. -1(+2), 1(+3), 4(+4), 8(+5), 13
b. -3(-5), 15(-5), -75(-5), 375(-5), -1875
The gift-wrapping service in one store offers a choice of red or white ribbon with a choice of red, white, green, or blue paper.
Which tree diagram shows the sample space for all the different ways the service can wrap a gift?
blue
green
red
red
white
O C. red
white
А.
green
blue
blue
white
green
red
white
red
red
white
green
blue
green
-blue
red
white
B.
red
white
white
green
blue
green
blue
IT IS D
Step-by-step explanation: