Answer:
when the distance driven per day is 100 miles
Step-by-step explanation:
Start by writing an equation for the daily charge of each company
Let's call p(x) what the primo car rental charges per mile "x", and let's call u(x) what ultimo rental charges;
p(x) = 24 + 0.4 x
u(x) = 38 + 0.9 x
when would u(x) be twice the p(x) charge?
u(x) = 2 p(x)
38 + 0.9 x = 48 + 0.8 x
0.9 x - 0.8 x = 48 - 38
0.1 x = 10
x = 100
so, such happens when the distance driven per day is 100 miles
A bag contains 5 blue marbles, 2black marbles ,and 3 red marbles. A marine is randomly drawn from the bag The probability of not drawing a black marble is___ . The probability of drawing a red marble is____
Answer:
80%; 30%
Step-by-step explanation:
There is 5 blue marbles, 2 black marbles, and 3 red marbles. In other words, there is a total of 10 marbles.
There are only 2 black marbles and 8 marbles that are not black. Therefore, the probability of not drawing a black marble is 8/10 or 4/5 or 80%.
There are only 3 red marbles out of the 10 total marbles. Therefore, the probability of drawing a red marble is 3/10 or 30%.
Please help me on this question
Answer:
x = [tex]\frac{k(a+r)}{7}[/tex]
Step-by-step explanation:
Given
a = [tex]\frac{7x}{k}[/tex] - r ( add r to both sides )
a + r = [tex]\frac{7x}{k}[/tex] ( multiply both sides by k to clear the fraction )
k(a + r) = 7x ( divide both sides by 7 )
[tex]\frac{k(a+r)}{7}[/tex] = x
Answer:
ak - kr k(a - r)
x = -------------- or x = ------------
7 7
Step-by-step explanation:
1. Multiply all three terms by k to eliminate the fraction:
ak = 7x - kr
2. Subtract kr from both sides:
7x = ak - kr
3. Divide both sides by 7:
ak - kr k(a - r)
x = -------------- or x = ------------
7 7
describe the y-intercept in terms of knots and rope length
Answer:
what is the y-intercept sorry i can't help there isn't enough information
Step-by-step explanation:
Line 'L' is horizontal and passes through (-5,8). Line 'L is vertical and passes through $(4,-1)$. Find the point of intersection of $\ell_1$ and $\ell_2$.
Every y coordinate on the horizontal line is the same, so each point has a y coordinate of y = 8. This is to be able to pass through (-5,8)
Every x coordinate on the vertical line is the same, so each point has an x coordinate of x = 4. This is to be able to pass through (4,-1)
Put this together to get the answer (x,y) = (4,8)
Answer:
The two lines intersect at (4,8).
Find the smallest four digit number which Is divisible by 18 24 and 32
Answer:
The smallest four digit number divisible by 18, 24, and 32 is 1152.
Step-by-step explanation:
The LCM of the 3 numbers are 288
Then, the smallest four-digit number would equal 1152 (288*4)
Take L.C.M. of 18,24,32= 288
Resulting in 1152 :)
Brendon is walking home from a place that is 1.5 miles away. The function y = 7,920 − 270x represents Brendon’s distance in feet from home, y, in relation to the number of minutes he walks, x. Bryan is also walking home. Every 15 minutes, he writes down the number of feet left to reach home, as shown in the table.
Minutes
Feet
0
8,000
15
3,800
Which statements about this situation are true?
Brendon walks faster.
Bryan walks faster.
Brendon and Bryan walk at the same speed.
Brendon was farther away from home when he started walking.
Bryan was farther away from home when he started walking.
Brendon and Bryan were an equal distance from home when they started walking.
Answer:
Bryan walks faster
Bryan was farther away from home when he started walking.
Step-by-step explanation:
Given the following :
Brendon's distance in feet from home 'y' in relation to the number of minutes walked 'x'
y = 7,920 − 270x
For bryan:
Minutes (x) - - - 0 - - - - - 15
Feet ( y) - - 8000 - - - 3800
General form of a linear equation :
y = mx + C
m = gradient / slope
m = (y2 - y1) / (x2 - x1)
m = (3800 - 8000) / (15 - 0)
m = -4200 / 15 = - 280
Intercept 'c' = 8000 (where line intersect the y axis), (since y = 8000, when x = 0)
Therefore,
Bryan's model:
y = 8000 - 280x
Comparing both functions :
Bryan has a greater speed ( from the gradient)
Bryan was farther away from home when he started walking ( intercept )
Answer:
Answer:
Bryan walks faster
Bryan was farther away from home when he started walking.
Step-by-step explanation:
Given the following :
Brendon's distance in feet from home 'y' in relation to the number of minutes walked 'x'
y = 7,920 − 270x
For bryan:
Minutes (x) - - - 0 - - - - - 15
Feet ( y) - - 8000 - - - 3800
General form of a linear equation :
y = mx + C
m = gradient / slope
m = (y2 - y1) / (x2 - x1)
m = (3800 - 8000) / (15 - 0)
m = -4200 / 15 = - 280
Intercept 'c' = 8000 (where line intersect the y axis), (since y = 8000, when x = 0)
Therefore,
Bryan's model:
y = 8000 - 280x
Comparing both functions :
Bryan has a greater speed ( from the gradient)
Bryan was farther away from home when he started walking ( intercept )
Step-by-step explanation:
The circle below has center C. Suppose angle EDF = 84º and DF is tangent to the circle at D.
Find the following. Type your numerical answers (without units) in each blank.
Answer: [tex]m\overbrace{ED}[/tex]= 168° and ∠ECD = 168°
Step-by-step explanation:
In the given , we have a circle centered at C , ED is a chord and DF is a tangent touching circle at D, ∠EDF = 84°.
Also, CE = CD = radius
⇒ ∠CED = ∠CDE ---(i) [angles opposite to equal sides of triangle are equal]
Since radius makes a right angle with tangent.
So, ∠CDF = 90°
⇒ ∠CDE =∠CDF - ∠EDF
⇒ ∠CDE= 90° - 84°
⇒ ∠CDE = 6°
From (i) ∠CED =∠CDE = 6°
In ΔCDE
⇒∠CED + ∠CDE + ∠ECD = 180°
⇒ 6°+6°+ ∠ECD = 180°
⇒ 12°+ ∠ECD = 180°
⇒∠ECD = 180° - 12°
⇒∠ECD = 168°
Since , Angle measure of the central angle is equal to the measure of the intercepted arc.
Therefore m∠ECD = [tex]m\overbrace{ED}[/tex]
⇒[tex]m\overbrace{ED}[/tex]= 168°
Hence, [tex]m\overbrace{ED}[/tex]= 168° and ∠ECD = 168°
how do you solve this
Answer:
[tex](a).\:\:\int _1^{-1}3f\left(x\right)dx\:=-12[/tex] is the final answer.
Step-by-step explanation:
See the attachment below.
Best Regards!
Estimate to the nearest hundredth: √48 A. 6.93 B. 7.12 C. 24.00 D. 6.55
Answer:
The answer is option A.
√48 = 6.93 to the nearest hundredth
Hope this helps you
Answer:
A
Step-by-step explanation:
A prism has a volume of 238 cubic millimeters. Which is the correct substitution for finding the length of the prism?
Answer:
D. V = l w h. 238 = l times 8 and one-half times 3 and one-half
Step-by-step explanation:
A prism has a volume of 238 cubic millimeters.
A prism has a length of l millimeters, height of 3 and one-half millimeters, and width of 8 and one-half millimeters.
Which is the correct substitution for finding the length of the prism?
A. V = l w h. 238 = l + 8 and one-half + 3 and one-half
B. V = l w h. V = 238 times 8 and one-half times 3 and one-half
C. V = l w h. l times 8 and one-half times 3 and one-half
D. V = l w h. 238 = l times 8 and one-half times 3 and one-half
From the question
V=lwh
Volume of a prism=length)(width)(height)
Volume=238
l= l mm
w= 8 1/2
h= 3 1/2
Substituting all the values
V=lwh
238= l * 8 1/2 * 3 1/2
D. V = l w h. 238 = l times 8 and one-half times 3 and one-half
Answer:
D
Step-by-step explanation:
got it right on edge 2020
Convert 18 ft to yards
Answer:
6 yds
Step-by-step explanation:
We know there are 3 ft in 1 yd
Divide by 3 ft
18 ft / 3 ft = 6 yds
Answer:
6 yards
Step-by-step explanation
1 yard= 3 feet
umm i dont know why i am getting a different answer from the ones that are listed plz help
Answer:
A. 5 : 3
Step-by-step explanation:
Number of blue cups : Number of red cups
10 : 6
Divide to the lowest terms
10 ÷ 2 : 6 ÷2
5 : 3
Answer:
The answer is A
Step-by-step explanation:
The ratio of blue cups to red cups is 10:6 you can figure this out by counting how many blue cups there are and how many red cups there are.
Now that you have your ratio of 10:6 which means for every 10 blue cups there will be 6 red cups. You can work with this and find equivalent ratios by multiplying or dividing. In this case you would have to divide in half to find the ratio 5:3
Hope this helps!
100 POINTS!The number of pizzas sold in one weekend at Pete's Pizzas is shown. Pie chart of pizza sales. Data includes: 130 hamburger, 175 pepperoni, 60 cheese, and 35 veggie. a) If Pete's sales remain consistent, how many pepperoni pizzas will he have sold when the total number of pizzas sold reaches 1600? b) How would the circle graph be different if Pete had sold 200 pepperoni pizzas, 100 hamburger pizzas, 50 veggie pizzas, and 50 cheese pizzas?
Answer:
A) [tex]\boxed{\sf 700 \ pepperoni \ pizzas}[/tex]
B) See the attached file!
Step-by-step explanation:
Total pizza sales in the pie chart = 175+60+35+130
=> 400 total Pizzas
Out of these 400, there are 175 pepperoni pizzas
So,
Pepperoni Pizzas = 175/400 = 7/16 (Simplest form)
So,
Among 1600 pizzas, pepperoni pizzas would be:
=> [tex]\frac{7}{16} * 1600[/tex]
=> 7 * 100
=> 700 pepperoni pizzas
Part B)
See the attached file:
Answer:
[tex]\sf a) \ 700 \\ b) \ \sf view \: attachment[/tex]
Step-by-step explanation:
Part A:
Calculate the total parts:
[tex]130+175+60+35[/tex]
[tex]=400[/tex]
Out of 400 pizzas, 175 are pepperoni.
[tex]\frac{175}{400}[/tex]
The sales remain constant, if the total number of sold pizzas reaches 1600 then:
[tex]\frac{175}{400} \times 1600[/tex]
[tex]=700[/tex]
Out of the 1600 pizzas sold, 700 would be pepperoni.
Part B:
(attachment)
Pepperoni pizza:
[tex]\frac{200}{200+100+50+50} =\frac{1}{2}[/tex]
Hamburger pizzas:
[tex]\frac{100}{200+100+50+50} =\frac{1}{4}[/tex]
Veggie and cheese pizzas:
[tex]\frac{50}{200+100+50+50} =\frac{1}{8}[/tex]
Horatio wants to ship a batch of 8 machine parts. The packaging for each part weighs 2 pounds. If each part weighs x pounds, which expression represents the total weight of the parts and their packaging? And if each part weighs 6 pounds, what will the total weight of the shipment be? A. The expression is 2(x + 8), and the weight is 28 pounds. B. The expression is 8(x – 2), and the weight is 32 pounds. C. The expression is 8x – 2, and the weight is 46 pounds. D. The expression is 8x + 2, and the weight is 50 pounds. E. The expression is 8(x + 2), and the weight is 64 pounds. Reset Next
Answer: E. The expression is 8(x + 2), and the weight is 64 pounds.
Step-by-step explanation:
Given: Number of machine parts in a batch = 8
weight of packaging for each part = 2 pounds
Let x be the weight of each part ( in pounds).
Weight of each part with packaging = x+2
Then, Total weight of the parts and their packaging = (Number of machine parts) x (Weight of each part with packaging )
= 8(x+2)
If each part weighs 6 pounds, then put x= 6
Total weight of the parts and their packaging = 8(6+2)
= 8 x 8 = 64 pounds
Hence, If each part weighs 6 pounds, then the total weight of the shipment will be 64 pounds .
Here is what we know:
8 machine parts
each part = x pouunds
packaging for each part is 2 pounds so 16 pounds for packaging
If y=total weight wiith that information we can form this equation
y=8x + 16
If each part equals 6 pounds the total shipment will be
y=8x+16
y=8(6) + 16
y= 48 + 16
y=64
Sam's total expenses last month were $1840. What was his total variable cost for last
month?
Expense
Amount
Rent
$100
Groceries and drinks
$1000
$10
Insurance premiums
Loan interest payment
Clothes
$30
$200
&
Utilities
$300
Home security fee
$200
Answer:
$1500
Step-by-step explanation:
It is given that
Rent = $100
Groceries and drinks = $1000
Insurance premiums = $10
Loan interest payment =$30
Clothes = $200
Utilities = $300
Home security fee = $200
Fixed cost are costs that does not vary and variable cost are costs that vary with goods and services.
In the given problem, rent , insurance premiums, loans interest payment ad home security fee are fixed cost.
Groceries and drinks, clothes and utilities are variable cost.
So, total variable cost for last month is
[tex]\text{Total variable cost}=\$1000+\$200+\$300=\$1500[/tex]
Therefore, total variable cost for last month is $1500.
Answer:
$1500
Step-by-step explanation:
I just took the test and got it right
(SAT Prep) Find the value of x.
Answer: 40 degrees
Step-by-step explanation:
Since the rectangle is 90 degrees and we know that the line is 180 degrees if u add 90 and 50 it becomes 140. Now u subtract from 180 to get 40 hope that helps and is a correct answer :)
Which value makes the inequality x^2 ≥ x false?
A. -1/4
B. 0
C. 1/4
D. 1
Answer:
D
Step-by-step explanation:
cas if x =1
then 1^2>or=1
1is not >or=1
FIRST GET BRAINNLEST Noam spins the spinner below 1000 times. Predict how many times the spinner landed on red.
Answer:
1/4
Step-by-step explanation:
Given:
Colors
Yellow 1
Red 1
Blue 2
Total 4
Required:
Times that the spinner landed on red=?
Formula:
Probability=Successful outcome ÷ Possible outcome.
Solution:
Probability=Successful outcome ÷ Possible outcome
Probability=1÷4
Probability=1/4
Hope this helps ;) ❤❤❤
Answer:
about 125 times
Step-by-step explanation:
Jessa bought her home for $125,000 in 2010. Property values have increased 15% every year since she has owned the home. Which of the following equations can be used to represent the price of the home x years after 2010?
Answer:
y= 125,000 (1.15x)
Step-by-step explanation:
Answer: y = 125000(1.15)^x
Step-by-step explanation:
The formula we use is y = p(1 + r)^x p is price and r is rate
the initial price is $125000 and the rate is 15%, or 0.15.
y = 125000(1 + 0.15)^x
y = 125000(1.15)^x
How many gallons each of 15% alcohol and 5% alcohol should be mixed to obtain 10 gal of 14% alcohol?
How many gallons of 15% alcohol should be in the mixture? ____ gal
Answer:
Step-by-step explanation:
Refer https://brainly.com/question/17122506
A party mix is made by adding nuts that sell for $2.50 per kg to a cereal mixture that sells for $1 per kg. How much of each should be added to obtain 60 kg of a mix
that will sell for $1.40 per kg?
1. The amount of nuts is ____kg and cereal mixture is ____ kg to obtain 60 kg of a mix that will sell for $1.40 per kg.
Answer:
n=16 kg
c=44 kg
Step-by-step explanation:
Let
n=nuts at $2.50 per kg
c=cereal at $1 per kg
n+c=60 (1)
2.5n + c=1.40(60) (2)
From (1)
n=60-c
Substitute n=60-c into (2)
2.5n + c=1.40(60)
2.5(60-c) +c=84
150-2.5c+c=84
-1.5c=84-150
-1.5c= -66
Divide both sides by -1.5
c=44 kg
Substitute c=44 into (1)
n+c=60
n+44=60
n=60-44
=16
n=16 kg
The amount of nuts is 16 kg and cereal mixture is 44 kg to obtain 60 kg of a mix that will sell for $1.40 per kg.
The senior class at High School A and High School B is planning seperate trips to the local museum. The senior class at High School A rented and filled 13 vans and 1 bus with 184 students. High School B rented and filled 10 vans and 10 buses with 520 students. Every van and every bus had the same number of students in it. How many students can a van carry? How many students can a bus carry?
Based on my answer, each van can carry students and each bus can carry students
Answer:
Number of students van can carry = 11
Number of students bus can carry = 41
Step-by-step explanation:
Given the following :
HIGH SCHOOL A:
Number of students = 184
Number of vans(v) = 13
Number of buses(b) = 1
Mathematically,
13v + 1b = 184 - - - - (1)
HIGH SCHOOL B:
Number of students = 520
Number of vans(v) = 10
Number of buses(b) = 10
Mathematically,
10v + 10b = 520 - - - - (2)
Multiply (1) by 10 and (2) by 1
130v + 10b = 1840 - - - (3)
10v + 10b = 520 - - - (4)
Subtract (4) from (3)
120v = 1320
v = 11
Substitute v = 11 into (1)
13(11) + 1b = 184
143 + b = 184
b = 184 - 143
b = 41
Number of students van can carry = 11
Number of students bus can carry = 41
heeeeeeeeeeeeeeeeelp
TIMED!!! Explain how solving -7y > 161 is different from solving 7y > -161.
Answer:
Both inequalities use the division property to isolate the variable, y. When you divide by a negative number, like –7, you must reverse the direction of the inequality sign. When you divide by a positive number, like 7, the inequality sign stays the same. The solution to the first inequality is y > -23, and the solution to the second inequality is y <>
Step-by-step explanation:
(will give brainliest) Find the area of the shaded regions.
Answer:
84.78cm^2
Step-by-step explanation:
first we do pi*r^2.
3.14*6^2=113.04
Then, because we know that 1/4 of the circle is missing, just multiply 113.04 by .75.
113.04*.75=84.78cm^2
Answer:
84.78cm^2
Step-by-step explanation:
The taxi fare in Gotham City is $2.40 for the first ½ mile, and each additional mile costs $0.20. You plan to give the driver a $2.00 tip. How many miles can you ride for $10.00?
Answer:
He can ride for 28 miles
Step-by-step explanation:
Total cost of the ride = $ 10
Tips = $ 2
Cost of ride excluding tips = 10 - 2 = $ 8
Taxi fare for first 500 miles = $ 2.40
Taxi fare excluding first 500 miles = 8 - 2.40 = $ 5.60
distance traveled by him excluding first 500 miles = 5.60 ÷ cost of additional mile
= 5.60 ÷ 0.20
=28 miles
What does 3 3/5 * 2 5/7 equal
Hey there! I'm happy to help!
First, let's turn these into improper fractions. We keep the denominators and to find the new numerator you multiply the denominator by the whole number and add then numerator.
[tex]\frac{18}{5} *\frac{19}{7} =\frac{342}{35} =9\frac{27}{35}[/tex]
Therefore, the answer is 9 27/35. Now you can multiply mixed numbers!
Have a wonderful day!
Answer:
As a mixed number the answer to your question will be 9 27/35 or 6 3/7
The steps will be below.
Step-by-step explanation:
You first have to convert theses mixed numbers to fractions.
3 3/5 ,multiply the 5x3=15 and add the 3 which will be 18/5.
Since we converted 3 3/5 to a fraction now it’s 2 5/7 turn!
2 5/7 will be 19/7 because 7x2=14 and 14+5 will give us 19/7.
Finally since we have our two fractions (18/5) and (19/7), it’s time to find the answer!
Now if we multiply both of the factions we get the answer.
18/5 X 19/7
= 9 27/35 or 6 3/7
(For 6 3/7 we have to multiply the whole numbers and the fractions to get that answer)
Hope this helps!
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, -6), B(5, -6), C(5, -2) and D(2, -2). What is the perimeter of rectangle ABCD?
Answer:
14 units.
Step-by-step explanation:
Graph all the points on a coordinate grid. Two sides are 4 units each and the other two sides are 3 unites each.
P = 2(l + w)
P = 2(3 + 4)
P = 6 + 8 ← (The distributive property) OR 2(7) ← (Normal way to solve)
P = 14 units and 14 units.
You could also do addition.
P = 3 + 3 + 4 + 4
P = 6 + 8
P = 14 units
Hope this helped!
Plz help meeee -28=n(-7)
Answer:
n=4
Step-by-step explanation:
-28 divided by -7 is 4
Answer:
4
Step-by-step explanation:
divide -7 on both sides
-28/-7=4
The height of the trunk is 26 inches the length of the trunk is 50 inches. The tv is 54 inches wide. And 96 inches in height. Assuming the trunk is at least 96 inches deep can the tv fit into the trunk? Explain
Answer:
It states that assuming the trunk is 96" long. So with that information assuming the trunk is at least 96 inches deep and the tv is 96” long and the length of the trunk diagonal is 56.36” which is greater than the TV length 56”, so the TV will fit diagonally in the trunk.
Step-by-step explanation:
The length of the diagonal of the trunk is 56.356011 inches.
What is Pythagoras Theorem?A theorem stating that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other sides.
Given:
height of the trunk= 26 inches
length of the trunk= 50 inches
using Pythagorean theorem,
diagonal length of the trunk=√(height² +length²)
=√(26²+50²)
=√3176
=56.356011 inches
Hence, the length of the diagonal of the trunk is 56.356011 inches.
Learn more about this concept here:
https://brainly.com/question/17106915
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