Answer:
7 gallons of gas
Step-by-step explanation:
because the car can drive 53 miles on 1 gallon and your trying to find the amount of gallons needed for 371 miles you would divide 371 by 53 and you get 7.
Final answer:
To find out how many gallons of gas are used to drive 371 miles in a hybrid car with a fuel economy of 53 miles per gallon, divide 371 by 53, resulting in 7 gallons of gas needed.
Explanation:
To determine how many gallons of gas a hybrid car will use to drive a total of 371 city miles when the car can drive 53 miles on 1 gallon of gas, you can set up a simple division problem. The formula to calculate gallons used is:
Total miles driven ÷ Miles per gallon = Gallons of gas used
In this case, we divide 371 miles by 53 miles per gallon to find the total gallons of gas used:
371 miles ÷ 53 miles/gallon = 7 gallons
So, the hybrid car will use 7 gallons of gas to drive 371 city miles.
Which number is a rational number? A. B. C. D.
Answer:
a
Step-by-step explanation:
Kayla and he children went into a restaurant and she bought $63 worth of hotdogs and tacos. Each hotdog costs $3.50 and each taco costs $4. She bought 3 more hotdogs than tacos. Write a system of equations that could be used to determine the number of hotdogs and the number of tacos that Kayla bought. Define the variables that you use to write the system.
Answer:
Let x = the number of hotdogs
Let y = the number of tacos
3.5x+4y=63
x=y+3
This solution defines a system of equations for a problem about purchasing hotdogs and tacos at a certain value. Quantity and value equations are defined as H=T+3 and 3.50H+4T=63 respectively, with H and T standing for number of hotdogs and tacos.
Explanation:The question asks us to define a system of equations for Kayla's purchase of hotdogs and tacos. Let's denote the number of hotdogs as H and the number of tacos as T. As per the question, we have two conditions: Kayla spent $63 in total and she bought 3 more hotdogs than tacos. Therefore we can define below equations:
Quantity equation: H = T+3 (Kayla bought 3 more hotdogs than tacos)Value equation: 3.50H + 4T = $63 (Total money spent)These two equations can then be solved simultaneously to find the number of hotdogs (H) and tacos (T) Kayla bought.
Learn more about system of equations here:https://brainly.com/question/21620502
#SPJ3
there were 15 questions of which nicole answered 8 incorrectly at this rate how many should she expect to answer correctly if she answers a total of 135 questions
Answer:
72 Wrong, so find how many are right with 135 total
Step-by-step explanation:
It's similar to saying if she answered half and this continued how many would she have answered after answering a bigger number, you would say half.
so she answered 8/15 incorrectly a a smaller number, so she will answer that ratio with a bigger number. If it helps 8/15 is about 53%. just like 1/2 is half. So to find half you would multiply something by 1/2 and int he same way you multiply something by 8/15 to get that proportion of it.
so 135, if you take this 53%, or simply multiply it by 8/15 you get your answer of 72. So 72 wrong so al others are right, which you get with 135-72 = 63.
You could also do 135*(1-8/15) = 135 * 7/15. if you ever want to find something NOT part of the proportion you do 1 - that proportion.
The length of a rectangle is 6 inches more than the width. The perimeter is 40 inches. Find the length and the width of the rectangle
Answer:
lenght = 13 inches
width = 7 inches
Step-by-step explanation:
p= 2(l+b)
let lenght be x
width be y
so x=y+6
40 = 2(y+6 + y)
40= 2( 2y+6 )
20= 2y +6
2y = 20-6
2y=14
y=7
x=7+6=13
so lenght is 13 inches
width is 7 inches
The problem is about finding the length and width of a rectangle given its perimeter and their relationship. Solve it by forming an equation from the given information and solving for 'x'. The resulting dimensions are a width of 7 inches and length of 13 inches.
Explanation:The question given is a problem in algebra and pertains to the dimension of a rectangle. To solve it, let's assume the width of the rectangle to be 'x'. As per the information given, the length can be written as 'x+6'. The formula for the perimeter of a rectangle is 2*(Length + Width).
In this problem, we have perimeter = 40 inches. By substituting the values of length and width into the formula, we get: 2*(x + (x+6)) = 40.
By simplifying, you find that 2*(2x+6) = 40, which reduces to 4x+12 = 40. If you subtract 12 from each side, you get: 4x = 28. Finally, dividing each side by 4 you find the width 'x' equals 7.
Substituting x=7 in length equation: length = 7+6 = 13. So, the dimensions of the rectangle are width = 7 inches, and length = 13 inches.
Learn more about Algebra here:https://brainly.com/question/24875240
#SPJ2
Kroger has 12 ounces of orange juice for $1.95 and Food Lion has 18 ounces for $2.10. Which store has the better but. Round to nearest hundredth place.
Answer: the one that sells 12 ounces for 1.95
Step-by-step explanation:
A: 1.95÷12=0.1625
B: 2.10÷18=0.1166666667
A gets more money.
Hope this helps ca.you tell me if it does and can you give me brainliest plzzz???
I don’t know how to figure out this question.
Kim wrote 57,000 in expanded form. Which number is NOT one of the numbers that Kim wrote?
A. 50,000
B. 7,000
C. 60
D. 4
In expanded form, 57,000 equals 50,000 + 7,000 therefore, number 60 and 4 are NOT one of the numbers that Kim wrote.
What is meant by expanded form?The expanded form of a number is the division of a number into place values, such as ones, tens, hundreds, thousands, ten thousand, and so on.
The number represented by the sum of each digit multiplied by its place value is known as its expanded form. When you write a number in expanded form, you write the value of each digit and then add them together to find the sum.
The number 1,24 has the following values, for example: it is in the thousands place, the value of one is written as 1,00. thus it is in the hundreds place, the value of 2 is written as 20.
Therefore,
Expanded Form of 57,000
57,000 = 50,000 + 7,000.
Hence, In expanded form, 57,000 equals 50,000 + 7,000.
To learn more about expanded, refer to:
brainly.com/question/26430239
#SPJ2
Match the expression with corresponding x- and y- values so that all three expressions are equivalent to one another.
Answer:
x = 4, y = 1---->7(4)(1) - 3 = 28 - 3 = 25
x = 1, y = 6---->1 + 4(6) = 25
x = 1, y = 3---->(1 + 3 + 1)² = 5² = 25
Find the area of the shape shown
Answer:
The area is 18un^2
Step-by-step explanation:
The trapezoid area formula is (b1+b2)*h/2
so the two bases are 9 and 3. add them 9+3 = 12
the height is 3 multiply 12*3 = 36
then divide by two 36/2 = 18
(X^2+2x+5)(2x) simplify this
Answer:
Step-by-step explanation:
(X²+2x+5)(2x)
= 2x(x²) +2x(2x) + 2x(5)
= 2x³ + 4x² + 10x
Solve 4(4f-9)=-(2-f)
Answer:
f = [tex]\frac{7}{15}[/tex]
Step-by-step explanation:
1. 4(4f - 9) = -(2-f) distribute the negative
2. 4(4f - 9) = -2 + f Distribute the 4
3. 16f - 9 = -2 + f Subtract f on both sides
4. 15f - 9 = -2 Add 9 on both sides
5. 15f = 7 Divide both equations by 15
6. [tex]\frac{15f}{15} = \frac{7}{15}[/tex]
f = [tex]\frac{7}{15}[/tex]
What is the inequality x+5<2
Answer:
x < - 3
Step-by-step explanation:
Given
x + 5 < 2 ( subtract 5 from both sides )
x < - 3
Yo sup??
x+5<2
adding -5 on both the sides
x+5-5<2-5
x<-3
Therefore x can take any value from -3 (-3 not included) to negative infinity.
Hope this helps.
Find each function value f(7) if f(x) =5x
The value of f(7) is 35
Solution:
Given function is:
f(x) = 5x
We have to find the value of f(7)
The value of f(7) can be found by substituting x = 7 in given function
Plug in x = 7 in function
[tex]f(x) = 5x\\\\f(7) = 5(7)\\\\f(7) = 5 \times 7\\\\f(7) = 35[/tex]
Thus the value of f(7) is 35
To find f(7), substitute x = 7 into the function f(x) = 5x. The value of f(7) is 35.
Explanation:To find the value of f(7) if f(x) = 5x, substitute x = 7 into the function. We get:
f(7) = 5(7)f(7) = 35Therefore, the value of f(7) is 35.
Learn more about Function here:https://brainly.com/question/30721594
#SPJ11
KRISTIN SPENT 40$ on diapers. 8$ / package , how many packages did she buy
Answer:
5 packages . .
Step-by-step explanation:
Answer:
5 packages of diapers
URGENT 20 POINTS
Which experiment has a non-uniform probability model? SELECT TWO ANSWERS.
A.Tossing a fair coin one time
B.Randomly guessing the answer to a question on a multiple choice test that has four answer choices for each question
C.Spinning a spinner with sections that are different sizes
D.Pulling a red marble out of a bag with 6 red marbles, 3 green marbles, and 1 yellow marble
E.Spinning a spinner on which all sections are the same size
Answer: the answer is c,d or b,d but i think it i c and d
Step-by-step explanation:
A car traveled 360 km in 6 h. A train traveled 400 km in 8 h. A boat traveled 375 km in 5 h. Which had the fastest average speed?
Answer:
boat 75
Step-by-step explanation:
Car--360/6=60
Train--400/8=50
Boat--375/5=75
Answer:
boat traveled the fastest by 35km/h
Step-by-step explanation:
car traveled= 360
6
train traveled= 400
5
boat traveled= 375
5
traveled:
Car= 60km/h
train= 50km/h
boat= 75km/h
Therefore BOAT WITH 75km/h has the FASTEST average speed
Hope it is a proper explanation & correct answer
STAY SAFE
Is 4÷2/7 the same as 4 groups of 2/7 yes or no explain your answer
Answer:
14
Step-by-step explanation:
4/(2/7)=(4/1)(7/2)=28/2=14
Each baby dinosaur made 15 paintings and each adult dinosaur made 7 paintings. The entire herd made
208 paintings in total, and there were 3 times as many baby dinosaurs as adult dinosaurs.
How many baby dinosaurs and adult dinosaurs were there?
Answer:
12
Step-by-step explanation:
baby = b
adult = a
b=3a
15*3a + 7a = 208
45a + 7a = 208
52a = 208
a=4
there were 4 adult dinosaurs
there were 12 baby dinosaurs
Answer:
12 adults 4 babies
Step-by-step explanation:
a car travels 2 5/8 miles in 3 1/2 minutes at a constant speed. write an equation to represent the distant d that the car travels in m minutes
Find how far the car traveled in one minute by dividing distance traveled by total time:
2 5/8 miles / 3 1/2 minutes = 3/4 mile per minute.
Now for distance (D) multiply miles per minute by number of minutes (m)
D = 3/4m
A box of chocolate has 45 pieces. 9 pieces have nuts in them, what percent of the candy is without nuts?
Answer:
80% of the candies are without nuts.
9/45 = 0.2
0.2 = 20%
The remainder is 80%
Find slope-intercept of a line going through (-5,-5) with the slope 2/5
Answer:
y=2/5x-3
Step-by-step explanation:
y-y1=m(x-x1)
y-(-5)=2/5(x-(-5))
y+5=2/5(x+5)
y=2/5x+2-5
y=2/5x-3
Brian drank 4.4 gallons of water today. There are approximately 3.8 liters in 1 gallon. How many liters did her drink? Round to the nearest hundredth.
Question 4 options:
0.6 L
7.33 L
0.86 L
1.16 L
Answer:
Step-by-step explanation:
16.72 or 17
Answer:
16.72
Step-by-step explanation:
Ⓗⓘ ⓣⓗⓔⓡⓔ
Well, all you would have to do is multiply 3.8*4.4
3.8*4.4=16.72
However, I'm not sure why {maybe a typo?}, but 16.72--nor any other numbers similar are listed.
(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥
y=3/4 x-4
Any help?
(y=3
- x-4
4
Soo confused. What am I supposed to do?
Answer:
see graph of y=3/4 x-4
Step-by-step explanation:
Assuming you mean
[tex]y = \frac34x - 4[/tex]
Below is a graph of that one. The slope is 3/4 and the interception with the y axis is at y=-4. The equation is in its normal form y=ax+b with a=3/4 (slope) and b=-4 (y intercept), so no conversion needed.
You have to be careful on how you write these equations down. It might very well be that you meant:
[tex]y = \frac{3}{4x-4}[/tex] or [tex]y = \frac{3}{4x} - 4[/tex]
However, those are more complex so I'm hoping for the first one... ;-)
Which of the following expressions have a quotient of −17?
Question 6 options:
A)
(−)7
B)
17
C)
1(−7)
D)
−(17)
E)
(−1)(−7)
Answer:
C = -6
Step-by-step explanation:
1 +-7 =-6:::::::::::::::::::
Margaret makes bracelets and sells them to tourists. The function s(t) approximates how many bracelets Margaret makes per hour. The function W(h) represents how hours per week Margaret spends making bracelets. What are the units of measurement for the composite function s(W(h))?
bracelets over hour
hours over week
weeks over bracelet
bracelets over week
Answer: bracelets over week
Step-by-step explanation:
A composite function f(g(x)) is a function made by combining two functions, where one function (g(x)) is behaving like independent variable and the other (f) is dependent such that the domain of f becomes g(x).Given : Margaret makes bracelets and sells them to tourists.
The function s(t) approximates how many bracelets Margaret makes per hour.
The function W(h) represents how hours per week Margaret spends making bracelets.
Here in s(W(h)) , the domain of s becomes W(h).
Thus, the units of measurement for the composite function s(W(h)) is bracelets over week.
Dave drove 55 mph for part of the trip and 60mph for the rest. The 245 mile trip took him 4 hours 12 minutes. How long did the 2nd part of the trip take? How far did he drive during the 2nd part of his trip?
Answer:
Dave drove 168 miles during the 2nd part of the trip
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Speed of Dave for part of the trip = 55 mph
Speed of Dave the rest of the trip = 60 mph
Total time of the round trip = 4 hours 12 minutes
Total distance of the trip = 245 miles
2. How far did Dave drive during the 2nd part of his trip?
Let's recall that the formula of speed is:
Speed = Distance/Time, therefore Distance = Speed * Time
x = Time of part of the trip
4 hours 12 minutes - x = Time of the rest of the trip
4.2 hours - x = Time of the rest of the trip
Now, we can write solve for x, this way:
55 * x + 60 (4.2 - x) = 245
55x + 252 - 60x = 245
-5x = 245 - 252
-5x = -7
x = -7/-5 = 7/5 = 1.4 ⇒ 4.2 - x = 2.8
1st part of the trip = 55 * 1.4 = 77 miles
2nd part of the trip = 2.8 * 60 = 168 miles
Dave drove 168 miles during the 2nd part of the trip and 77 miles during the 1st part
Solve for x.
6.5 cm
8 cm
7.5 cm
7.2 cm
Answer:
7.2 cm
Step-by-step explanation:
For the similar triangles, the ratio of the length of the bottom side to the right side is the same:
bottom/right = (x cm)/(6 cm) = (12 cm)/(10 cm)
x cm = (6 cm)(12/10) = 7.2 cm
_____
Technically, x = 7.2, not 7.2 cm.
Denzel does not want to lock up his money in Investments that have a long maturity period, nor does he like to take big risks. So, he'd like to see
some moderate return on his investments in a year. He also has more faith in Investments issued by the government than those issued by
private companies. Which investment would be a good choice for Denzel?
A commodity stocks
B. retirement accounts
ec short-term bonds
D. US Treasury bonds
Answer:Its D, just took the test.
Step-by-step explanation:
The US Treasury Bonds is the best choice for Denzel's investment based on his preference for moderate risk, trust in government-issued investments, and a desire for a return within a year.
Explanation:Based on Denzel's investment preferences, the ideal choice for him would likely be D. US Treasury bonds. US Treasury bonds are direct obligations of the federal government, making them quite secure because they carry the full faith and credit of the U.S. government. Also, given that these bonds often provide moderate returns and can be purchased with various maturity dates (including one-year bonds), they line up with Denzel's desire to see a return on his investment in a year and his reluctance to lock his money up for long periods without realizing gains.
It's worth noting that, while the other options listed might also be suitable investments for different scenarios, they do not align as well with Denzel's specific risk tolerance, investment timeline, and trust in government-issued investments.
Learn more about US Treasury Bonds here:https://brainly.com/question/34514087
#SPJ3
GIVING BRAINLIEST Green Middle School has 270 boys, 250 girls, 26 teachers, and a supporting staff of 5 employees. The school uses an average of 126,776 gallons of water per week. Assuming that the water usage is proportional to the number of people in the school, about how much water do the students consume per month? a. 28,704 gal c. 478,400 gal b. 119,600 gal d. 507,104 gal
Answer:
b 119,600
Step-by-step explanation:
250+270+26+5=551 250+270 = 520 520/551 ~94%
94% of 126,776~ 119,600
Given a function described as equation y=3x+4, what is y when x is 1,2 and 3?
Answer:
x=1 y= 7
x=2 y= 10
x=3 y= 13
Step-by-step explanation:
y=3x+4
y=3(1)+4
=7
y=3(2)+4
=-10
y=3(3)+4
=13
For this case we have the following equation:
[tex]y = 3x + 4[/tex]
We must find the value of the variable y when the variable x takes certain values.
For [tex]x = 1:[/tex]
[tex]y = 3 (1) +4\\y = 3 + 4\\y = 7[/tex]
For [tex]x = 2:[/tex]
[tex]y = 3 (2) +4\\y = 6 + 4\\y = 10[/tex]
For [tex]x = 3:[/tex]
[tex]y = 3 (3) +4\\y = 9 + 4\\y = 13[/tex]
Thus, the values of y are 7,10,13 respectively.
Answer:
[tex]y = 7\\y = 10\\y = 13[/tex]
a jet travels 520 miles in 5 hours at this rate how far could the jet fly in 11 hours what is the rate of speed of the jet
The rate of speed of jet is 104 miles per hour
The jet could cover 1144 miles in 11 hours
Solution:Given that,
A jet travels 520 miles in 5 hours
Find the miles traveled in 1 hour ( speed in miles per hour)[tex]speed = \frac{distance}{time}[/tex]
[tex]Speed = \frac{520}{5}\\\\Speed = 104\ miles\ per\ hour[/tex]
How far could the jet fly in 11 hoursTime = 11 hours
Speed = 104 miles per hour
[tex]Distance = speed \times time\\\\Distance = 104 \times 11\\\\Distance = 1144[/tex]
Thus the jet could cover 1144 miles in 11 hours