Answer:
a. 4
b. 10
Step-by-step explanation:
A. If the math department buys 60 textbooks, which are $89 each, we need to multiply 60 by $89 to get the amount that the textbooks will cost. This gives us $5340. Since the math department has $7200 to spend, we subtract 5340 from 7200. This gives us $1860 that the math department has left to spend on laptops. Since the laptops cost $395 each, and we have $1860 to spend, we divide 1860 by 395 to figure out how many laptops they can buy. This is 4.7. Since you can't buy 0.7 of a laptop, they can only buy 4 laptops. The final answer is 4.
B. The math department has $7200 to spend and buys 35 textbooks, which are $89 each. Multiply 35 by 89. This is $3115. Subtract this from $7200 to see how much the department has left to spend. The math department now has only $4085 to spend on laptops, which are $395 each. Divide 4085 by 395. This gives us 10.3. We can't buy 0.3 of a laptop, so they can only buy 10 laptops. The answer is 10.
Answer:
A:$7200-$5340
=$1860
They can buy 4 laptops which will cost $1580 and leave you with $280
B: 35 textbooks will cost $3115, which will leave us with $4085, so we can get 10 laptops
Step-by-step explanation:
What is the solution
Answer:
15
Step-by-step explanation:
f(x)=5x
g(x)=3x+3
(fog)(x)=f[g(x)]=f(3x+3)=5(3x+3)=15x+15
(fog)(0)=15(0)+15=15
Answer:
15
Step-by-step explanation:
First find g(0) =
g(0) = 3*0 +3
g(0) =3
Then put this into f(x)
f(g(0) ) = f(3) = 5*3 = 15
What is the directrix of a parabola with equation x^2 = 4y
Answer:
y = -1
Step-by-step explanation:
Given:
AB || DE
C is the midpoint of BD
Prove:
C is the midpoint of AE
Answer:
Step-by-step explanation:
Given: AB║DE and C is the midpoint of BD.
To prove: C is the midpoint of A
Statements Reasons
1). AB║DE 1). Given
2). BC ≅ CD 2). Point C is the midpoint of BD
3). m∠B ≅ m∠D 3). Interior alternate angles
4). m∠ACB ≅ m∠DCE 4). Vertical angles
5). ΔABC ≅ ΔDEC 5). ASA property of congruence
6). AC ≅ EC 6). ΔABC ≅ ΔDEC
7). AC = [tex]\frac{1}{2}(\text{AE})[/tex] 7). AC ≅ EC
The LA Taxi Co. fare in Los Angeles is $3.20 for the first 12mile. Additional mileage is charged at the rate of $0.25 for each 0.1 mile. You plan to give the driver a $2.00 tip. It is 6.5 miles to your grandmother’s house. How much will your total fare be, including tip?
Answer:
Your total fare including tip is $20.2
Step-by-step explanation:
Cost for first 0.5 mile = $ 3.20
Now we are given that Additional mileage is charged at the rate of $0.25 for each 0.1 mile.
It is 6.5 miles to your grandmother’s house.
So, remaining distance = 6.5-0.5=6 miles
Cost for 0.1 mile = $0.25
Cost for 1 mile =[tex]\frac{0.25}{0.1}[/tex]
Cost for 6 mile = [tex]\frac{0.25}{0.1} \times 6=15[/tex]
You plan to give the driver a $2.00 tip.
So, Total cost = $2+$3.2+$15=$20.2
Hence your total fare including tip is $20.2
What is the equation of the line that is parallel to the line y = 3x - 4 and passe
through the point (4,-2)?
O A. --***
O
B. y = 3x - 14
C. y = 3x + 14
O D. y = 3x + 2
Answer:
B. y= 3x -14
Step-by-step explanation:
To find the equation of a line that is parallel to the line y = 3x - 4 and passe
through the point (4,-2), we will follow the steps below;
Equation of a line is y=mx + c
where m is the slope and c is the intercept
To find the slope of the new equation, we will compare y =mx + c and y=3x - 4
The slope of the equation y = 3x-4 is 3
line that are parallel have the same slope, so the slope of the new equation is also m = 3
To find the intercept, we will substitute x=4, y = -2 and m =4 into the formula y =mx + c then solve for c
That is;
y = mx + c
-2 = 3(4) + c
-2 = 12 + c
subtract 12 from both-side of the equation
-2-12 = 12-12 + c
-14 = c
c= -14
we can now substitute m and c into the formula to form the new equation
y = mx + c
y = 3x -14
I need help on #5 on my summer packet my teacher never taught me this and I need help.
Answer:
c
Step-by-step explanation:
it can only be 0-9 that is in standard form- one digit then a decimal point
can u pls mark as brainliest?
Answer:
c
Step-by-step explanation:
hope that helps
Question 10 Multiple Choice Worth 1 points)
(01.03 LC)
Jamie has 105 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 7 kids on her block. Write an equation to show how many pieces of candy each kid
will recele.
Answer:
105= 7x or 7x=105 x=15
Step-by-step explanation:
Hope this helps
Correct me if this is wrong
Drag each tile to the correct box. Match the expression to the exponent property that you use first to simplify the expression.
sorry i did the best i could
A jar of quarters and dimes contains $20.00. There are 110 coins in all. How many of each are there?
Answer:
There are 50 dimes and 110-50 = 60 quarters in the collection.
Step-by-step explanation:
Let D be the number of dimes.
Then the number of quarters is (110-D).
The "value equation" is
10D + 25*(110-D) = 2000.
Simplify and solve for D:
10D + 2750 - 25D = 2000,
-15D = 2000 - 2750,
-15D = -750,
D = %28-750%29%2F%28-15%29 = 50.
Select the polynomial that is a perfect square trinomial. 9x2 + 9x + 1 36b2 − 24b + 8 16x2 + 24x + 9 4a2 − 10a + 25
Answer:
16x² + 24x + 9
Step-by-step explanation:
16x² + 24x + 9 =(4x)²+2*4x*3 + 3² = (4x +3)²
1. Shannon is conducting an experiment where she flips a coin and then rolls a six sided die. How many total possible outcomes are there in this experiment？
1. 8
2. 12
3. 14
2. How many possible outcomes are there when Shannon flips a head and rolls an even number?
1. 3
2. 4
3. 6
3. What is the theoretical probability that Shannon flips a tail and rolls a two?
1. 2/12
2. 1/12
3. 3/12
Answer:
1. - (C) 14
2. - (B) 4
3 - (A) 2/12
Can you help me with this?
|a^2| if a<0
Answer:
|(-a)²| = | a² | = a²
Step-by-step explanation:
absolute value is always positive number as well as any number squared so sign is positive no matter what
Plzz answer ASAP. Just the graph ignore the question below
Answer:
Domain: -8 <= x <= 2 and 1 < x < 4
Range: -3 and -2 <= y <= 8
63 people are going to the zoo. There are 3 cars to take people to the zoo. How
many will go in each car if the same number go in each car?
Answer:
21
3x21= 63 have a great day
Step-by-step explanation:
BRAINLIEST PLEASE
How does the value represented by the digit 4 in R compare to the value represented by the digit 4 in T?
R = 4,569
T = 3,490
Answer:
The digit 4 in R has a value of 4,000; the digit 4 in T has a value of 400.
Step-by-step explanation:
In R, there are 4 place values. Going from right to left, we have ones, tens, hundreds and thousands. The 4 is in the thousands place, so its value is 4,000. In T, there are also 4 place values, but the 4 is in the hundreds place, so its value is 400.
this is khan academy and i need it fast thx
Answer:
C
Step-by-step explanation:
The angles are supplementary because all the angles add up to 180 and they form a straight line together.
Can someone help me out on this question?
Answer:
They are similar, so 6/5 = 10/x.
You can do the rest yourself!
please need help I will be MARKING as BRIANILIST. thank you so much.
12.167(option D)
Solution,
[tex]side \: length(s) = 2.3 \\ volume = {s}^{3} \\ \: \: \: \: \: \: \: \: \: \: = {(2.3)}^{3} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = 2.3 \times 2.3 \times 2.3 \\ \: \: \: \: \: \: \: \: = 12.167 \: {cm}^{3} \\ [/tex]
hope it helps...
Good luck on your assignment....
Answer:C.8.027
Step-by-step
V = s[tex]^{3}[/tex]
The rate of change is found using the first derivative of this function. This is often called the gradient function, because it gives the gradient of a tangent line drawn at the specified point.
[tex]\frac{dV}{ds}[/tex](s[tex]^{3}[/tex]) =3s[tex]^{2}[/tex]We now plug in s =6
3s[tex]^{2}[/tex] = 3(6)[tex]^{2}[/tex] = 8.027[tex]\frac{cm3}{s}[/tex]Which set a rational numbers are ordered from least to greatest?
Wrong answers will be reported!!!!
Answer:
The answer to this is A
Step-by-step explanation:
hope it helped
Answer:
A
Step-by-step explanation:
tell me if im right
Help mee pweaseeeeeee :)))
Answer: .4
Step-by-step explanation:
.
for the fun of it
1 * 100000000 * 967 *0 +1
Answer:
1.
Step-by-step explanation:
By the order of operations, multiplication goes before addition. We got left to right.
As the entire resultant expression of the first two operators is multiplied by 0, we are left with 0 + 1.
0 + 1 = 1.
I hope this helps!
Sharon drops a rubber ball from a height of 48 feet. Every bounce sends the
ball half as high as it was before.
What is the total vertical (up and down) distance the ball has traveled, from
the moment it is dropped to the moment it hits the floor for the fourth time?
(Do not include units in your answer.)
Answer:
132
Step-by-step explanation:
48 first hit and rises 24
24 second and rises 12
12 third hit and rises 6
6 forth hit
48+24+24+12+12+6+6= 132
After the 4th hit the total distance up and down covered by the ball will be 90 feet.
Why the ball is bouncing back less and less distance upward after every drop ?
Some of the kinetic energy of the ball has been transferred by the ball to the ground after each drop also when it is in the process of going upwards force of gravity is working on the opposite direction which is downwards.
There are other factors too ask your physics teacher if you are more curious.
According to the given question
First time it has been dropped from a height of 48 feet as at every bounce it bounces back half of it's value it will go up to 24 feet repeating this process of bouncing back for the fourth time
It will be (48 + 24 + 12 + 6) = 90 feet
Learn more about Kinetic energy here :
https://brainly.com/question/15764612
#SPJ2
What is the 10th of a quarter of 1600
Answer:
40
Step-by-step explanation:
A quarter of 1600: 400
A tenth of 400:40
The value of 10th of a quarter of 1600 is 40.
What is a quarter of a number?A quarter of the number is 1/4 times of the number i.e. times of the number.
Quarter of x= (1/4)*x= 0.25 * x
Given in the question that we have to calculate 10th of a quarter of 1600.
Before that we have to first calculate a quarter of 1600 which is calculated by using the above formula
quarter of 1600= (1/4)*1600= 0.25* 1600= 400
Now we have to calculate 10th of a quarter of 1600 i.e. 10th of 400.
10th of 400= (1/10) * 400= 40
Therefore the value of 10th of a quarter of 1600 is 40.
Learn more about the quarter
here: https://brainly.com/question/382406
#SPJ2
Please help I really need this answer since I am preparing for my nationals
Will give branliest if it is correct.
Answer: [tex]\bold{a)\ \overline{CD}=6\qquad b)\ \overline{AD}=\dfrac{32}{3}\qquad c)\ \overline{AC}=\dfrac{50}{3}\qquad d)\ \overline{OB}=\dfrac{25}{3}}[/tex]
Step-by-step explanation:
a) First, use the Pythagorean Theorem to find CD:
8² + (CD)² = 10² → CD = 6
d) Next, find OB. Notice that both OB and OC are the radius of the circle.
Using the Segment Addition postulate, we know the radius (r) = CD + DO → DO = r - 6
Use the Pythagorean Theorem for ΔOBD to find OB:
(DO)² + (BD)² = (OB)²
(r - 6)² + 8² = r²
r² - 12r + 36 + 64 = r²
-12r + 100 = 0
100 = 12r
[tex]\dfrac{25}{3}\quad = r[/tex]
c) Now, find AC. Notice that AC is the diameter.
Diameter = 2r
= 2(OB)
[tex]=2\bigg(\dfrac{25}{3}\bigg)\qquad =\dfrac{50}{3}[/tex]
b) Lastly, find AD. Using the Segment Addition Postulate, we know that
AD + CD = AC → AD = AC - CD
[tex]= \dfrac{50}{3}-6\qquad \rightarrow \quad \dfrac{50}{3}-\dfrac{18}{3}\qquad =\dfrac{32}{3}[/tex]
Deandre bought 4 CDs that were each the same price. Including sales tax, he paid a total of $69.20. Of that total,was $3.60 tax. What was the price of each CD before tax?
BRAINLIEST FOR THE FIRST ANSWER!!! its easy but im lazy tehe Evaluate the following expression for s = 6 and t = - 8. s(6 - t) + 7(s + 1)
Answer:
133
Step-by-step explanation:
We are given the expression:
s(6-t)+7(s+1)
We are also given s=6 and t= -8. Therefore, we can substitute 6 in for s and -8 in for t.
6(6--8) +7(6+1)
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
First, solve inside the parentheses. Subtract 6 and -8.
6(14)+7(6+1)
Solve the other set of parentheses. Add 6 and 1.
6(14)+7(7)
Multiply 6 and 14.
84+7(7)
Multiply 7 and 7
84+49
Add 84and 49
133
Answer:
133
Step-by-step explanation:
s(6 - t) + 7(s + 1)
Plug in numbers:
6(6 - (-8)) + 7(6+ 1)
using Bedmas, solve:
Brackets first: 6(14) + 7(7)
Solve multiplication: 84 + 49
Add together: 133
Subtract the polynomials. (3x2+10x+5y)−(−5x2+2x−6y)
Answer:
[tex]=8x^2+8x+11y[/tex]
Step-by-step explanation:
[tex]\left(3x^2+10x+5y\right)-\left(-5x^2+2x-6y\right)\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=3x^2+10x+5y-\left(-5x^2+2x-6y\right)\\=3x^2+10x+5y+5x^2-2x+6y\\=3x^2+5x^2+10x-2x+5y+6y\\\mathrm{Add\:similar\:elements:}\:3x^2+5x^2=8x^2\\=8x^2+10x-2x+5y+6y\\\mathrm{Add\:similar\:elements:}\:10x-2x=8x\\=8x^2+8x+5y+6y\\\mathrm{Add\:similar\:elements:}\:5y+6y=11y\\=8x^2+8x+11y\\[/tex]
Answer the question below
Answer:There are 96 apples in the 12th bag.
Step-by-step explanation:
Firstly, you add the number of apples in the 11 bags.
6+28+16+27+10=87
If the mean number of apples in the 12 bags were 8, the total number of apples are 96.
Using this info, we subtract 87 from 96 to 9.
Hence, there are 9 apples in the 12th bag.
Find the value of n.
n = -1.-7
Answer:
n = 7
Step-by-step explanation:
n = (-1) x (-7)
Simplify:
When two minus signs appear in the product of two numbers, you can cancel them out.
Therefore:
n = (1) x (7) = 7
Hope this helps!
:)
Hey anybody help out this difficult in my opinion
Answer:
Just describe what you see.
Step-by-step explanation:
- For the first one you are dividing 4/3 by 4/3, so you would write something like Karen is dividing 4/3 by 4/3.
- For the second description say something like Karen multiplied and simplified 3/4 x 4/3 and when you do that you get 1.
(what you teacher is making you do is seriously complicated for no reason)