At New City High School, 11 out of 20 high school seniors have a part-time job. This ratio is the same at Oldville High School, which has 480 seniors. How many seniors at Oldville High School have a part-time job?
Answer:
264 out of 480
Step-by-step explanation:
An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. What are two constants of proportionality for the relationship between distance in kilometers
Answer:
50Step-by-step explanation:
Given
Distance covered by the bird = 400km
Time taken = 8 hours
Using the formula;
Speed = Distance/Time
S = d/t
Find the speed first:
S = 400km/8hr
S = 50km/hr
Substitute back into the formula:
S = d/t
50 = d/t
50t = d
d = 50t
This means that the distance d is directly proportional to the time with 50 as the constant of proportionality.
Hence the constant of proportionality for the relationship between distance in kilometers is 50.
The equation d=65t models the distance, d, that Malcolm's family travels after t hours. 10 miles per hour 15 miles per hour 30 miles per hour 65 miles per hour
The question is incomplete. Here is the complete question.
Malcolm and Theo's families are both traveling to the same vacation resort. The equation d = 65t models the distance, d, that Malcolm's family travels after t hours.
The graph below shows the relationship between the distance and the amount of time that Theo's family traveled.
How much faster did Malcolm's family travel than Theo's family?
a) 10 miles per hour
b) 15 miles per hour
c) 30 miles per hour
d) 65 miles per hour
Answer: b) 15 miles per hour
Step-by-step explanation: Speed is given by the change in distance per change in time or:
[tex]v=\frac{\Delta x}{\Delta t}[/tex]
For Theo's family, the graph shows the change in miles is constant in hours, so, the speed they are traveling is
[tex]v_{T}=\frac{200-0}{4-0}[/tex]
[tex]v_{T}=\frac{200}{4}[/tex]
[tex]v_{T}=[/tex] 50 mph
For Malcolm's family:
At t = 0: d = 65*0 = 0
At t = 4: d = 65*4
Then, Speed is:
[tex]v_{M}=\frac{65*4-0}{4-0}[/tex]
[tex]v_{M}=\frac{65.4}{4}[/tex]
[tex]v_{M}=[/tex] 65 mph
Theo travels at 50 mph and Malcolm at 65 mph, therefore, Malcolm is 15 miles per hour faster than Theo
what percent is 30 of 20
Answer:
1.5
Step-by-step explanation:
Lmk if i need to explain!
(please i'm taking a test) A fraction is never a rational number true or false
After converting the equation 5x + 2y = 10 to slope-intercept form. What would be the slope and the y-intercept? a) m = -2/5 and b = 5 b) m = 5/2 and b = 2 c) m = -5/2 and b = 5 d) m = 2/5 and b = 2 Inc.
Answer:
the answer is C
What is the correct answer?
Answer:
C) y = 10/3x - 5
Step-by-step explanation:
Slope intercept equation is y = mx + b:
m is the slope
b is y-intercept
When you read slope you can also read it as rise over run. Rise is move up or down on the y axis depending if number is negative or positive. Run is move left or right on x axis depending if number is negative or positive.
Example: y = [tex]\frac{10}{3} x - 5[/tex]
Start at the y-intercept which is -5. On graph you can see the line crosses the y axis at (0, -5). From this point rise 10 then run 3 you'll end up at point (3, 5). Connect the dots of the two points and you'll see a line like the one in the problem.
are real numbers closed under cube root?
Answer:
Real numbers are not closed under cube root
Step-by-step explanation:
The cube of each real number is increasing as the real numbers increases, giving a functional or one to one relationship. Therefore, the cube roots of real number have also a one to one relationship.
Given that a cube root of a number, ∛x = y therefore, y³ = x, we have that all real numbers, excluding zero, have one cube root, and two complex and conjugate roots
For the real number, 8, we have the cube roots given as follows;
∛8 = 2
Also, ∛8 = -1 + √3i and -1 - √3i
Given that not all cube roots of 8 are real numbers we have that real numbers are not closed under cube root.
Your bank pays 4% annual interest compounded quarterly on January 1, April 1, July 1, and October 1. You deposited $840 on April 1 and made no other deposits or withdrawals. Find your savings account balance on January 1 of the next year.
and
Your bank pays 4% annual interest compounded quarterly on January 1, April 1, July 1, and October 1. You deposited $840 on April 1 and made no other deposits or withdrawals. How much interest did you earn for these nine months?
Answer:
The interest earned in 9 months is $25.45284
Step-by-step explanation:
The interest rate given by the bank = 4%
The rate at which the interest is applied = Quarterly
The amount of money deposited = $840
The formula for compound interest is given as follows;
[tex]Compound \ interest = P \times \left [ \left(1 + \dfrac{r}{n} \right )^{t \times n} - 1\right ][/tex]
Where;
P = The principal = $840
r = The rate = 4% = 0.04
n = The number of times the interest is compounded per period = quarterly = 4
t = The time duration in period = 9 months = 3/4 × 1 year
Substituting the values gives the Compound interest C.I. as follows;
[tex]C.I. = 840 \times \left [ \left(1 + \dfrac{0.04}{4} \right )^{\dfrac{3}{4} \times 3} - 1\right ] = 840 \times \left [ \left(1 + \dfrac{0.04}{4} \right )^{ 3} - 1\right ] = \$ 25.45284[/tex]
The interest earned in 9 months = $25.45284.
PROBLEM SOLVING Find the value of k so that the graph of the equation has the given y-intercept.
y = -1/3x + 5/6k; b = - 10
K=?
Answer:
2k⋅(3k−7)⋅(k+4)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
((6 • (k3)) + (2•5k2)) - 56k
STEP
2
:
Equation at the end of step
2
:
((2•3k3) + (2•5k2)) - 56k
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
6k3 + 10k2 - 56k = 2k • (3k2 + 5k - 28)
Trying to factor by splitting the middle term
4.2 Factoring 3k2 + 5k - 28
The first term is, 3k2 its coefficient is 3 .
The middle term is, +5k its coefficient is 5 .
The last term, "the constant", is -28
Step-1 : Multiply the coefficient of the first term by the constant 3 • -28 = -84
Step-2 : Find two factors of -84 whose sum equals the coefficient of the middle term, which is 5 .
-84 + 1 = -83
-42 + 2 = -40
-28 + 3 = -25
-21 + 4 = -17
-14 + 6 = -8
-12 + 7 = -5
-7 + 12 = 5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and 12
3k2 - 7k + 12k - 28
Step-4 : Add up the first 2 terms, pulling out like factors :
k • (3k-7)
Add up the last 2 terms, pulling out common factors :
4 • (3k-7)
Step-5 : Add up the four terms of step 4 :
(k+4) • (3k-7)
Which is the desired factorization
Final result :
2k • (3k - 7) • (k + 4)
Olivia bought a coat for a trip to Alaska and used a coupon for 20% off the coat price. The total cost of her coat, with the discount, was $260.80 . Which equation could she use to find the price of the coat without the discount?
Answer:
shhshshshs
hshdhsnsnjsjdje
Step-by-step explanation:
bshsjsnsjjsusjsjsjs
gt6tys56ytujr7dsy6rtuhgjfyhjfvchfgjvcxfdcgfhvn jhmc dghvbdcjghb
Answer:
It is 42=x
Step-by-step explanation:
bruh
Is (2, 4) a solution to the system
y = 2x
x + y = 6
Answer:
yes you plug the numbers in
The Giant Anteater can eat 70,000 ants in 2 days. It’s true
Answer:
cool
Step-by-step explanation:
is this a question?
what is the answer to 3√54m^4pq
Answer: I did quick math and I got 9m^2pq√6
Hope this helps a bit
Which one??? I need help. Be serious please
Answer:
c
Step-by-step explanation:
10+12=22
=22^2
=484
Answer:
I believe the answer is C or D.
Step-by-step explanation:
Mark wants to buy 5 new video games from
GameStop. Each video game is $17.99 and he has an
8% off coupon. How much will he have to pay at the
register?
can you guys please help
Answer:
with what?
Step-by-step explanation:
Joe Howard earns an annual gross pay of $955,520 as a
professional baseball player. He is married with 4 dependents.
How much is withheld from his monthly paycheck for state
income tax?
Answer: 3924.25
Step-by-step explanation:
0.0150x1000=15
0.0300x2000=60
0.0450x2000=90
0.0500x938520=46926
Add the numbers
47091÷12=3924.25
Additional work:
955520-12000=943520-1000=942520-2000=940520-2000=938520
His monthly paycheck for state income tax is $19,906.65.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For exmaple, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Annual Gross pay = 955520
He is married with 4 dependents.
So, every month he earn
= 955520/12
= 79,626.6
and, Also have 4 dependents
= 79,626.6 /4
= 19,906.65
Hence, his monthly paycheck for state income tax is $19,906.65.
Learn more about unitary method here:
https://brainly.com/question/22056199
#SPJ2
What is the awnser to that question
Answer:
C. 2 and 5
Step-by-step explanation:
please solve this question
Find an equation for the perpendicular bisector of the line segment whose endpoints are (−3,4) and (−7,−6).
Answer:
[tex]y=-\frac{2}{5}x-3[/tex]
Step-by-step explanation:
First, you must find the midpoint of the segment, the formula for which is [tex](\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]. This gives you (-5,-1) as the midpoint. This is the point at which the segment will be bisected.
Next, since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex], which gives us a slope of [tex]\frac{5}{2}[/tex].
Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of [tex]\frac{5}{2}[/tex] is [tex]-\frac{2}{5}[/tex].
We now know that the perpendicular travels through the point (-5,-1) and has a slope of [tex]-\frac{2}{5}[/tex].
Solve for [tex]b[/tex] in [tex]y=mx+b[/tex].
[tex]y=mx+b\\-1=-\frac{2}{5}(-5)+b\\-1=2+b\\-3=b\\b=-3[/tex]
Therefore, the equation of the perpendicular bisector is [tex]y=-\frac{2}{5}x-3[/tex].
Answer:
She's right, praise jeebus :3
Step-by-step explanation:
7. What is the area of the shaded region?
5.6 cm
6.4 cm
5.8 cm
1.2 cm
0.8 cm
A rectangle has a length that is three feet more than twice it's width. The perimeter of the rectangle is 78 feet. State the value for the width.
Let the width of the rectangle be 'w'
According to the question length of the rectangle (l) is three feet more than twice it's width;
[tex] \longrightarrow [/tex] l = (2w + 3) ft
Perimeter of rectangle = 78 ft
Formula of perimeter of rectangle = 2(Length + Width)
So,
[tex] \rm \implies 2(Length + Width) = 78 \\ \\ \rm \implies 2(2w + 3 + w) = 78 \\ \\ \rm \implies 2(3w + 3) = 78 \\ \\ \rm \implies 2 \times 3(w + 1) = 78 \\ \\ \rm \implies 6(w + 1) = 78 \\ \\ \rm \implies w + 1 = \dfrac{78}{6} \\ \\ \rm \implies w + 1 = 13 \\ \\ \rm \implies w = 13 - 1 \\ \\ \rm \implies w = 12 \: ft[/tex]
[tex] \therefore [/tex] Width of the rectangle (w) = 12 ft
Solve for b: 4b + 8/ -2 = 10
Answer:
The answer is b= 7/2
Step-by-step explanation:
hope this helps
Answer:
Step-by-step explanation:
4b-4+4=10+4
4b=14
4b/4 =14/4
B=7/2
Brian measures his height at 160cm to the nearest 10cm.
What is the tallest he could be?
Give the upper bound as your answer.
Answer:
170 cm is the tallest
Please help! I need help!
Answer:
What grade work is it? I don't really know what it says. Sorry, please can you type it out?
Step-by-step explanation:
Answer:
X is well i do not know but for the other person it says 3 times x = 8/2
Step-by-step explanation:
How many planes are shown in the figure?
PLEASE HELP ME ON NUMBER 5
Answer:
Hebrew National since the cost is only 0.73
Step-by-step explanation:
First we need to identify the cost of each hotdog for each brand. I'll go by in order.
Ball Park:
We know that it cost $6.95 and it's 8 dogs for each one. Meaning all we have to do is divide the price by the amount of hot dogs.
"Price/Hotdogs per package"
In order
6.95/8=0.86875 or 0.87
8.20/10=0.82
7.35/8=0.91875 or 0.92
17.50/24=0.7291666 or 0.73
Since we're dealing with currency we would most likely round it by the nearest hundredth so the true answer would be $0.87.
Use this formula that I made for this question for any other questions.
PLEASE ANSWER WILL MARK AND 5 STARS PLEASE I BEG OF U
Which one is the best Rate
Answer:
venti is the best option bc who wants a small and grade is good too but you can get a large for a few cents more so venti is the way to go
The grande and venti sizes are a better value A tall beverage is 12 ounces, whereas a grande drink is 16 ounces and a venti drink is 24 ounces for cold drinks and 20 ounces for hot.
According to what I heard :3
Hope This Helped! May I have Brainliest? <3