Answer:
a) y = 0.55x + 75
b) $108
Step-by-step explanation:
a) to find the equation represent the sequence use the y=mx+b formula
y = total price
m = cost per mile
x = miles driven
b = flat fee
Therefore y = 0.55x+75
b) To figure out the cost of driving 60 miles you use the equation y = 0.55x + 75
y = 0.55 X 60 + 75
= 108
Therefore the cost of renting the truck and driving 60 miles is $108
Can someone please help me with this question? " For what value of x makes the equation 4x-3.5 (2x-8) = 40 true"
Answer:
-4
Step-by-step explanation:
4x-3.5(2x-8)=40
4x-7x+28=40
-3x=40-28
-3x=12
x= -4
3(4x+2)=8x+24−2x hhhhhhhh
Answer: x=3
Step-by-step explanation:
1. First lets do the parenthesis 3(4x+2) to get 12x+6
2. 12x+6=8x+24-2x (combine like terms) first lets do 8x and 2x first so its 8-2= 6x
3. 12x+6=6x+24 (now subtract 12x by 6x to get 6x)
4. 6x+6= 24 (now subtract 24 by 6 to get 18)
5. 6x= 18 (now divide 18 by 6 to get 3)
Answer:
x = 3Step-by-step explanation:
[tex]3(4x+2)=8x+24−2x[/tex]
Expand and simplify
We have
[tex]12x + 6 = 8x + 24 - 2x \\ 12x + 6 = 6x + 24[/tex]
Move 6x to the left side of the equation
[tex]12x - 6x + 6 = 24 \\ 6x + 6 = 24[/tex]
Move 6 to the right side of the equation
[tex]6x = 24 - 6 \\ 6x = 18[/tex]
Divide both sides by 6
[tex] \frac{6x}{6} = \frac{18}{6} \\ [/tex]
We have the final answer as
x = 3Hope this helps you
The following lines: y=2/3(x) and y=-3/2(x) are...
O Intersectings=
O Neither
O Parallel
O Perpendicular
Need ASAP
Answer:
the answer to this question is parallel
Which of the statements below translates the mathematical equation "4x + 5 = 21?
Step-by-step explanation:
4x + 5 = 21
4x+5-5=21-5
4x=16
Divide both side by 4 so that we can have the x
x=4
what is the measure of ABC?
Answer:
Using exterior angle theorem, we can find the answer.
x+45+3x = 6x+5
4x+45 = 6x+5
45 = 2x+5
40 = 2x
x = 20
TO FIND <ABC, WE WILL NEED TO FIRST FIND THE EXTERIOR ANGLE.
6x+5
= 6(20)+5
= 120+5
= 125
m<ABC:
180-125 (REASON: linear pair)
= 55
What is the slope of the line (-3,0) and (0,-4)
How MANY zeros does this graph have?
Answer:
3
Step-by-step explanation:
Taryn is shopping for a Christmas tree. At Home Depot the one she likes is $149.00 and she has a 15% off coupon. At Lowe's the one she likes is $175.00 and she has a 20% off coupon. Which store has the better deal with their coupons? How much will she save if she gets the better deal?
Answer:
Step-by-step explanation:
At home depot
Price of Christmas tree = $149.00
Discount = 15%
Amount discounted = 15% of $149
Amount discounted = 15/100 * $149
Amount discounted = 15 * 1.49
Amount discounted = $22.35
Amount she paid = $149-$22.35
Amount she paid = $126.65
At Lowe's:
Price of Christmas tree = $175.00
Discount = 260%
Amount discounted = 20% of $175
Amount discounted = 20/100 * $175
Amount discounted = 0.2 * 175
Amount discounted = $35
Amount she paid = $175-$35
Amount she paid at Lowe's = $140
From the prices above, it can be seen that Home Depot has a better deal since the price after removing discount is lower than that of Lowe's.
Amount she will save will be $140 - $126.65 = $13.35
3x(x-2)-x^2+4=0
Help
Answer:
x=2,1 solving with quadratic formula
Step-by-step explanation:
Sarah is making chili she has 0.15 g of a secret ingredient to each liter of chili she makes if she has 3 g of her secret ingredient how many liters of chai can she make?
Answer: She can make 20 liters of chai.
Step-by-step explanation:
As per given,
1 liter of chair requires 0.15 g of secret ingredient.
So , for 1 g of secret ingredient , quantity of chai she would make = [tex]\dfrac{1}{0.15}=\dfrac{100}{15}[/tex]
For 3g of secret ingredient , quantity of chai she would make = [tex]\dfrac{100}{15}\times3[/tex]
[tex]=\dfrac{100}{5}=20[/tex]
Hence, she can make 20 liters of chai.
She will need 20 litres of chili for 3g of the ingredient
If Sarah is making chili she has 0.15 g of a secret ingredient to each liter of chili, this is expressed as:
0.15g = 1 chili
To get the amount of chili needed for 3g, we can write;
3g = x
Divide both expression
0.15/3 = 1/x
x = 3/0.15
x = 20
Hence she will need 20 litres of chili for 3g of the ingredient
Learn more on proportions here: https://brainly.com/question/18437927
Skylar owns a small business selling bagels. She knows that in the last week 80 customers paid cash, 7 customers used a debit card, and 42 customers used a credit card.
Based on these results, express the probability that the next customer will pay with a credit card as a decimal to the nearest hundredth.
Answer:
The probability that the next customer will pay with credit card is approximately 0.33
Step-by-step explanation:
The given parameters are;
The number of customers that paid cash = 80 customers
The number of customers that used a debit card = 7 customers
The number of customers that used a credit card = 42 customers
The total number of different payments made = 80 + 7 + 42 = 129 payment
Probability = The number of desired outcome/(The number of possible outcome)
The probability that the next customer will pay with credit card = (The number of customers that used a credit card)/(The total number of different payments made)
∴ The probability that the next customer will pay with credit card = 42/129 ≈ 0.33 to the nearest hundredth.
5x + 5 + 3 = -4 + 7x + 7 - 3x
Answer:
[tex]5x + 7 = 3 + 4x \\ 5x - 4x = 3 - 7 \\ x = - 4[/tex]
The following polynomial can be factored using the techniques of this lesson.
x² -36
A. True
B. False
Answer:
The correct answer for me was true
Step-by-step explanation:
The ratio of boys to girls in a class is 3:5. There are 40 students in the class. How many students are girls?
Step-by-step explanation:
3+5=8
40÷8=5
5x5=25 girls
5x3=15
Answer:
the number of girls are 16
I need some help does anyone know this?
A circuit has a voltage of 500 volts and a resistance of 250 ohms. What is current? V = IR
Answer:
Step-by-step explanation: V= Voltage
I= Current
R= Resistance
Ohm's Law Mathematically expressed as: I= V/R or V= IR or R= V/I
V= 500
I= ?
R= 250
I= V/R
I= 500/250
I= 2 amps
Answer:
I know it know!!!!
Step-by-step explanation:
—16t^2 + 64t + 3
Please help as soon as possible 33 points if you do it!!
Answer:
51t^3
Step-by-step explanation:
64+3=67
67 +(-16)=51
t^2 +t= t^3
now you just add them up but they cant be combined because one is a number and the other a variable w an exponent so we just get 51t^3
Which expression can be used to find the output numbers in
the table?
Of the students in Marci's school, 5/9 have a pet. Of the students who have a pet, 12/25 have a dog. What fraction of the students in the school have a dog?
Answer:
4 / 15
Step-by-step explanation:
Of all students ; 5/9 have a pets
Of the 5/9 who have a pet; 12 /25 have a dog
Fraction of the student in the school who have a dog;
12 /25 of fraction with pet
= 12 /25 of 5 /9
= 12 /25 * 5 / 9
= (12 * 5) / (25 * 9)
= 60 / 225
= 4 / 15
Gavin needs $80 to buy a fish tank. He has saved $8 and plans to work as a babysitter to earn $9 per hour. Which inequality shows the minimum number of hours, n, that Gavin should work as a babysitter to earn enough to buy the fish tank?
Answer:
n>8Step-by-step explanation:
Step one:
given data
needed amount= $80
the amount already saved= $8
earnings per hour= $9
let the number of hours worked be n
and let y represent the total
the situation represented linearly is
y=mn+c
Step two:
substituting our data to find n
9n+8>80
9n>80-8
9n>72
divide both sides by 9
n>72/9
n>8
Therefore he must work a minimum of 8houees
7(y + 2) – (4y – 10) = 44 – 2y + 5
y = -10
Answer:
y=-8
Step-by-step explanation:
7(y + 2) – (4y – 10)
=7y+14-4y+10
=3y+24
3y=-24
y=-8
Which two ratios are equivalent to 10 : 12
Answer: 10 divided by 2 is 5 12 divided by 2 is 6
Answer: 20:24 and 50:60
Step-by-step explanation:
please help me with this
Step-by-step explanation:
-4 = x - y ...1
4 = -x + y ...2
...1 + ...2
-4+4 = x-y +(-x+y)
0 = 0
and I don't know next lol
Kurt spots a bird sitting at the top of a 40 foot tall telephone pole. If the angle of elevation from the ground where he is standing to the bird is 59 ° , how far is Kurt standing from the base of the pole?
Answer:
i guess its 24.03 ft
Step-by-step explanation:
let height of pole be perpendicular length and distance from pole be the base .so tan59=P/b..& b= 24.03ft
PLEASE HELP ME ANSWER NOW!!!! 15 POINTS
Answer:
x = 4
Step-by-step explanation:
6x + 4 = 12x - 20
x = 4
A store manager is looking at past jewelry sales to determine what sizes of rings to keep in stock. The list shows the ring sizes purchased by the last ten jewelry customers.
9, 7, 6.5, 7.5, 7, 8, 5, 6, 7.5, 8
What is the variance of the data set? Round to the nearest hundredths.
0.40
0.72
1.15
2.14
Answer: 1.15
Step-by-step explanation:
Answer:
1.15 is the answer
Step-by-step explanation:
a farmer plants potatoes on 1/36 of his land. He plants peas on 5/36 of his land. What fraction of the farm's land do potatoes and peas cover?
Answer:
6/36
Step-by-step explanation:
1/36 + 5/36 = 6/36 OR 1/6
Answer:
1/5 of the farmers land has potatoes and pea plants growing on it
Step-by-step explanation:
so we are trying to figure out how much of the land is covered in potatoes and pea plants together so we add their fractions together
1/36 + 5/36 = 6/36
we then simplify the fraction by dividing both numbers by 6 since 6 can go equally within the fraction:
6/36 divided by 6 = 1/5
so 1/5 of his land is covered by potatoes and pea plants
Milo pays $3 per pound for dog food at Pat's pound of food at Mark's Mutt Market. At which Palace. The graph below represents the cost per store will Milo pay a lower price per pound for dog food?
Answer:
Pat Pet's Palace
Step-by-step explanation:
Price of dog food at Pat Pet's Palace = $3 per pound
Price of dog food at Mark's Mutt Market can be estimated using the graph given.
The graph is a proportional graph, thus, the constant of proportionality between cost and pound = y/x
Using the coordinates of a point on the line, (2.5, 10), constant of proportionality or unit rate = y/x = 10/2.5 = 4.
This means the price of dog food at Mark's Mutt Market is $4 per pound.
Therefore, Milo would pay a lower price per pound for dog food at Pat Pet's Palace.
Find the value of c that completes the square
x^2+2x+c
Please help me with how to do this, and show me. Thank you.
Answer:
The value of c that completes the square [tex]x^2+2x+c[/tex] is 1
Step-by-step explanation:
We need to find the value of c that completes the square [tex]x^2+2x+c[/tex]
The formula used will be: [tex]a^2+2ab+b^2=(a+b)^2[/tex]
In the question given the value c can be found by breaking the middle term. we are given 2x while the general formula is 2ab for middle term so,
2(x)(1) = 2x
so, c= 1
Solving:
[tex]x^2+2x+c\\=x^2+2(x)(1)+(1)^2-(1)^2\\=(x+1)^2-1[/tex]
So, the value of c that completes the square [tex]x^2+2x+c[/tex] is 1
Find the coordinates of the other endpoint if the midpoint is M(8, 2) and the other endpoint is P(5, 6). O (6.5, 4) (21, 10) O (11, -2)
Answer:
(11,-2)
Step-by-step explanation:
11+5 /2= 8
6+-2= -4/2=-2
Answer:
(11,-2)
Step-by-step explanation:
The one point you have is P(5,6)
The midpoint is (8,2)
The other point is (x,y)
(x + 5) /2 = 8
(x + 5) = 8*2
x + 5 = 16
x = 16-5
x = 11
===========
(y + 6)/2 = 2
y + 6 = 2*2
y + 6 = 4
y = 4 - 6
y = - 2
hello quick question because i am dumb and dont know how to explain things just need some clarification
how do you tell if a domain is continuous or discrete on a table not a graph •~•
Step-by-step explanation:
gegsbdqneyqillzfjmtucznYEmdnfhhthtej62wrr334tyyytyyttffgfrwgeyeyiqlstl7o4a1
9514 1404 393
Answer:
The domain is always discrete when it is found from a table.
Step-by-step explanation:
A table necessarily lists a finite number of discrete points. The domain, as found from a table, is always discrete.
__
If the table is said to be a representation of a continuous function, then the domain of that continuous function will be continuous.
Your question seems to have to do with a table alone, not a table and an equation, or a table and a graph. A table (of points) alone cannot express a continuous domain.
__
Additional comments
One can conceive of tables that would have continuous domains, as, for example, a table with entries ...
(x, y) = (0 ≤ x < 3, 3x+2), (3 ≤ x < 6, 4x-1), ...
Such a table is not a list of points, but is a piecewise function definition. We presume this is not what you're concerned with.