Answer:
y=-7x+1
Step-by-step explanation:
At Chester’s Bakery, a box of 12 donuts sells for $8.50. What is the unit price of the donuts in the box, rounded to the nearest cent?
$0.12 per donut
$0.71 per donut
$1.02 per donut
$1.41 per donut
Answer: $0.71
Step-by-step explanation:
An Eastbound train (E) traveling 95 mph and a Westbound train (W) traveling 110 mph leave the same train station at different times. After 4 hours, they are 4 00 miles apart. Which system of linear equations can be used to determine the time that each of the trains has been traveling?
Answer:
The system of linear equations that can be used to determine the time that each of the trains has been traveling is:
E + W = 4 ....... Equation 1
95 E + 110W = 400 ......Equation 2
Hence,
An Eastbound train has been travelling for = (E) = 2.67 hours
A Westbound train has been travelling for = (W) = 1.33 hours
Step-by-step explanation:
An Eastbound train (E) traveling 95 mph and a Westbound train (W) traveling 110 mph leave the same train station at different times. After 4 hours, they are 4 00 miles apart. Which system of linear equations can be used to determine the time that each of the trains has been traveling?
Speed = Distance/Time
Distance = Speed × Time
Let the time
An Eastbound train = (E)
A Westbound train = (W)
E + W = 4 hours ....... Equation 1
95mph × E + 110mph × W = 400 miles
95 E + 110W = 400 miles ......Equation 2
The system of linear equations that can be used to determine the time that each of the trains has been traveling is:
E + W = 4 ....... Equation 1
95 E + 110W = 400 ......Equation 2
E = 4 - W
We substitute 4 - W for E in Equation 2
95 (4 - W) + 110W = 400
380 - 95W + 110W = 400
Collect like terms
95W - 110W = 400 - 380
15W = 20
W = 20/15
W = 1.3333333333 hours
≈ 1.33 hours
E = 4 - W
E = 4 - 1.33 hours
E = 2.67 hours
Therefore,
An Eastbound train has been travelling for = (E) = 2.67 hours
A Westbound train has been travelling for = (W) = 1.33 hours
8.
A recipe calls for 4 cups of dry ingredients. Of the 4 cups, 1 cup
is flour. What is the ratio of cups of flour to cups of
other dry ingredients used in the recipe? write as a fraction
a corn vendor at a farmers market was selling a bag of 8 ears of corn for $2.56 anithert vendor was selling a bad of 12 for 4.32. which bag is the better deal?
The high temperature for the day is 28°F. The record low for the day was -12°F. What is the difference in temperature?
Answer:
40
Step-by-step explanation:
12 + 28
Answer:
40°
Step-by-step explanation:
So the highest is 28 and the lowest is -12. First, you get to zero so 28-28=0 then, to get to -12 you do 0-12= -12. Then I added 28+12 :D
The area of a trapezoid is 864cm². It has a height of 24 cm, and the length of one of its bases is 30 cm. What is the length of the other base?
The area A of a trapezoid with height h and bases b₁ and b₂ is equal to the average of the bases times the height:
A = (b₁ + b₂) h / 2
We're given A = 864, h = 24, and one of the bases has length 30, so
864 = (b₁ + 30) 24 / 2
864 = (b₁ + 30) 12
864 = (b₁ + 30) 12
72 = b₁ + 30
b₁ = 42
Ali counted 25 red cards and 75 black cards in a deck of cards what is the ratio of red cars two black cards in simplest form?
1936 —The electric guitar debuts.
1946 —Muddy Waters cuts the first records of Chicago's electric blues and Carl Hogan plays a powerful guitar riff on Louis Jordan's Ain't That Just Like a Woman.
1948—Columbia Records introduces the long playing (LP) vinyl record.
1949—Fats Domino cuts a new kind of boogie, The Fat Man.
1951—Cleveland disc jockey Alan Freed coins the term rock and roll.
1955—Elvis Presley’s Heartbreak Hotel makes him the first rock star.
1958—Billboard magazine begins their Hot 100 chart listing popular songs.
1959—The National Academy of Recording Arts and Sciences presents the first Grammy Award.
1959—Berry Gordy Jr. founds Motown Records. In the 1960s Motown stars include the Supremes, Stevie Wonder, and Marvin Gaye.
1961—Country Singer Patsy Cline becomes a mainstream pop music hit.
1964—The Beatles song I Want to Hold Your Hand is a sensation igniting the British invasion.
1969—The Woodstock Music and Art Fair, featuring such artists as Janis Joplin, Jimi Hendrix, the Who, and Joan Baez, is attended by hundreds of thousands of fans.
1975—CBGB (Country Bluegrass & Blues) club in New York showcases punk rock.
1977—The movie Saturday Night Fever popularizes disco music.
1978—Hip Hop, a blend of rock, jazz, and soul, is born in the South Bronx, characterized with African drumming.
1981—MTV music television debuts with nonstop music videos.
1983—Compact discs begin to replace vinyl records.
1984—Cyndi Lauper's Girls Just Wanna Have Fun moves up the charts. In his early teens, Ricky Martin begins his five-year stint with Menudo. Madonna releases her debut album; the single Holiday becomes a hit.
1985—Michael Jackson releases Thriller and the video becomes a classic.
1989—Britney Spears makes her musical television debut as an 8-year-old child on Star Search.
1990—Grunge rock rises in Seattle, featuring bands such as Nirvana and Pearl Jam.
Answer:
yes
Step-by-step explanation:
Simplify 81^5 = 3^х x=
Answer:
The answer for the value of x is, x=20
Answer:
X = 20
Step-by-step explanation:
3^4 = 81
exponent 4 x 5 = 20
so 3^20 = 81^5
At the end of summer clearance sale Nathan sees a hat market at 65% off the original price was $12.98 after the discount what is the final price of the hat round your answer to the nearest cent
Answer:
$4.54
Step-by-step explanation:
Because if you take $12.98 and multiply that by 65% you will get 8.437 and when you subtract that by the original amount you will get $4.54.
is f(x)=7-2x a polynomial function
Answer:
Yes
Step-by-step explanation:
'
Yes, this F(x) is a polynomial function involving the first and null integer powers of x: x^0 and x^1.
3/4 minus 7/16. In factions
Answer:
What is the question sir
Step-by-step explanation:
Write in slope intercept form an equation of the line that passes through the given points. (0,4) (4,8) and (-2,3) (-4,4)
Answer:
y-8=1(x-4)
Step-by-step explanation:
I used the equations y-y/x-x and y-__y__=__m__(x-__x__)
The altitude (i.e., height) of a triangle is increasing at a rate of 1.5 cm/minute while the area of the triangle is increasing at a rate of 3.5 square cm/minute. At what rate is the base of the triangle changing when the altitude is 10 centimeters and the area is 86 square centimeters? The base is changing at cm/min.
Answer:
-1.88cm/min
Step-by-step explanation:
Given
dh/dt = 1.5cm/min
dA/dt = 3.5cm²/min
Height h = 10cm
Area A = 86cm²
Required
db/dt
b is the base
h is the height.
Area of a triangle A = 1/2bh
dA/dt = dA/db•db/dt + dA/dh •dh/dt
dA/db = h/2 = 10/2 = 5cm
Get the base
86 = 1/2(10)b
5b = 86
b = 17.2cm
dA/ dh = 1/2b = 1/2(17.2)
dA/dh = 8.6cm
.substitute given values into the formula above;
dA/dt = dA/db•db/dt + dA/dh •dh/dt
3.5 = 5 db/dt + 8.6(1.5)
3.5 = 5 db/dt + 12.9
5 db/dt = 3.5-12.9
5 db/dt = -9.4
db/dt = -9.4/5
db/dt = -1.88cm/min
Hence the base is changing at -1.88cm/min
How far will 25 N of force stretch a spring with a spring with a spring constant of 125 N/m?
Answer:
-0.656168ft
Step-by-step explanation:
If Spring force constant (k) is 125 N/m
And the force is (F) 25 N ,
then the spring displacement (Δx) -0.656168
Equation used:
Knowing Hooke's law, we can write it down it the form of a formula:
F = -kΔx
F is the spring force (in N);
k is the spring constant (in N/m); and
Δx is the displacement (positive for elongation and negative for compression, in m).
Will make you brainliest!!! If correct!!
Answer:
Step-by-step explanation:
y = - [tex]\frac{1}{4}[/tex] x + 3 ( equation of line t )
y - (- 2) = - [tex]\frac{1}{4}[/tex] [ x - (- 2)] ⇒ y = - [tex]\frac{1}{4}[/tex] x - [tex]\frac{5}{2}[/tex] ( equation of line u )
Write the equation of the line that passes through the points (-9, -3) and (-7,7).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
y - 7 = 5(x + 7).
Step-by-step explanation:
The slope m (7--3)/ (-7- -9)
= 10 / 2 = 5.
y - y1 = m(x - x1)
Using the point (-7, 7):
y - 7 = 5(x + 7).
-6+(-2)+14
i want the explanation
Answer:
6
Step-by-step explanation:
-6+-2 is -8. if you add 14 its 6
You and 5 friends are in a math club. A sponsor pays $75 to rent a bus to get to competition, a $100 entry fee for the team, and D dollars for each students t-shirt. Write an expression for the total amount the sponsor paid.
Answer:
Total amount paid by the sponsor = 175 + 6d
Step-by-step explanation:
You and 5 friends = 6 people
Cost of renting a bus = $75
Team entry fee = $100
Cost of each student t shirts = $d
Cost of 6 student t shirts = $d × 6
= $6d
Write an expression for the total amount the sponsor paid.
Total amount paid by the sponsor = Cost of renting a bus + Team entry fee + Cost of 6 student t shirts
= $75 + $100 + $6d
= $175 + $6d
Total amount paid by the sponsor = 175 + 6d
Where,
d = cost of each student t shirts
How to tell if your table is linear or exponential?
Answer: If the first difference is the same value, the model will be linear. If the second difference is the same value, the model will be quadratic. If the number of times the difference has been taken before finding repeated values exceeds five, the model may be exponential or some other special equation.
Step-by-step explanation: You can tell if a table is linear by looking at how X and Y change. If, as X increases by 1, Y increases by a constant rate, then a table is linear. You can find the constant rate by finding the first difference. This table is linear.
Elliot collects miniature toy cars. He wants to fill 4 display cases.each display case holds 15 cars. He has 28 cars now, and he is able to buy 3 more every month with the money he saves from his allowance. How many more months will it be until elliot has enough cars to fill all 4 display cases?
Answer:
Elliot has to wait 11 months before he has enough cars
Step-by-step explanation:
Elliot has 4 display cases with each case being able to hold 15 cars. Thus we know
total # of cars Elliot can place in his display case = 4 * 15 = 60 cars
From this, we can figure out how many more cars Elliot needs by subtracting the amount of cars he already has
# of cars Elliot needs = 60 - 28 = 32 cars
Now to find the number of months Elliot needs, we divide by how many he can buy each month
# of months Elliot needs to save up for = 32 / 3 = 10 2/3
Assuming Elliot does not get his allowance until the end of the month, we will have to round the number of months up to the nearest integer, 11
Vedant received two quotes for new carpet for his home. The quote from Company A is $0.15 less per square foot than the quote from Company B. If Vedant plans to buy 1,200 square feet of carpet, how do his total costs from the two companies compare?
Company A is cheaper by $180.
Company B is cheaper by $180.
Company A is cheaper by $8,000.
Company B is cheaper by $8,000.
Don’t make any funny jokes about this and don’t say idk or something like that or I’ll report you.
Answer:
Company B is cheaper by $180.
Step-by-step explanation:
just do 1,200 square feet x 0.15 = 180
Answer:
b as in big cat
Step-by-step explanation:
Plzzzz help The variables p, q, and r are rational numbers with the following properties:
p>0, q<0, and r < 0.
Based upon the given information, select the option below where both expressions have a negative value.
A Op.p and s.r
B O qr and pa
C O qr and 7pr
D O pq and 7pr
Answer:
qr and pq
Step-by-step explanation:
Raina, Alan, and Kareem have a total of $85 in their wallets. Kareem has $9 less than Raina. Alan has 2 times what Kareem has. How
much do they have in their wallets?
Amount in Raina's wallet
$
Amount in Alan's wallet:
$
Amount in Kareem's wallet:
$
Answer:
17, 51, 24.
Step-by-step explanation:
i cant type it rn but i will put it in comments later :D hope this helped!
A circular oil spill in the ocean is increasing in diameter at a rate of 200 feet per hour. By how many square feet is the oil spill increasing per hour?
Increase in diameter: d(h) = 200h; h in hours
Increase in area: A(d) = π(0.5d)2; d in feet
Which composite function represents the total area of the oil spill as a function of hours?
Answer:
A(d(h)) = π(100h)2
Step-by-step explanation:
In edge it would be C
When solving these word problems it is helpful to remember that they ask us to use composition of functions to solve it so if it is the total area in regards to hours, what you would need to do look at the problem in this manner:
A( (d(h) )= A (Pi(0.5x200h)^2
and when you simplify like terms it would be:
Pi(100h)^2
Suppose an elevator starts at street level (0), goes down 4 floors to the parking deck
and then goes up 9 floors to the conference center. The conference center is on what Suppose an elevator starts at street level (0), goes down 4 floors to the parking deck
and then goes up 9 floors to the conference center. The conference center is on what floor?
Answer:
5
Step-by-step explanation:
0-4= -4
-4+9=5
Answer: The 5th Floor
Step-by-step explanation:
0 - 4 = - 4
- 4 + 9 = 5
9 × [(21 − 4) − 9 what is the answer when you find out pls let me know!!!
Answer:
72 is the answer
21-4 IS 17, AND 17 - 9 IS 8, THEN 9X8 IS 72.
What is the volume of the prism below?
A. 150 cubic units
B. 300 cubic units
C. 55 cubic units
D. 1,500 cubic units
Answer:
the answer is B.300.Don't forget to mark brainliest
Answer:
a
Step-by-step explanation:
if Ad = 2x + 2 and cd= x +11, what is the value of x
Answer: the answer is 9
Step-by-step explanation:
3. A bag
contains 8red balls and 6 white balls. Two balls
are randomly drawn one after another without replace
mondo. Find the probability, of getting balls of diffecent colors
=================================================
Work Shown:
We have 8 red and 6 white giving 8+6 = 14 total
The probability of selecting red is 8/14.
After that ball is not replaced, we have 14-1 = 13 balls left. The number of white balls will not go down since only the red ball count goes down.
The probability of selecting white on the second selection is 6/13
---------------------------------------------------------------
So we can say
P(red first, then white) = P(red first)*(white second, given red first)
P(red first, then white) = (8/14)*(6/13)
P(red first, then white) = (8*6)/(14*13)
P(red first, then white) = 48/182
P(red first, then white) = 24/91
Let's label this as A.
A = 24/91
That way we can come back to it later.
---------------------------------------------------------------
Now let's say we pick white first, then red
So we'd have the following.
P(white first, then red) = P(white first)*(red second, given white first)
P(white first, then red) = (6/14)*(8/13)
P(white first, then red) = (6*8)/(14*13)
P(white first, then red) = 48/182
P(white first, then red) = 24/91
Let B = 24/91
---------------------------------------------------------------
Now we add up the values of A and B
A+B = 24/91 + 24/91
A+B = (24+24)/91
A+B = 48/91