Naomi surveyed 480 of the students in her school about their favorite color. 95% said their favorite color was red. How many students' favorite color was red?
Answer:
456 students
Step-by-step explanation:
In order to find 95% of the 480 students, you can set up the equation below:
[tex]\frac{students}{total} = \frac{percent}{100percent}[/tex]
[tex]\frac{x}{480students} =\frac{95percent}{100 percent}[/tex]
x * 100 = 480 * 95
x = 45600 / 100 = 456
95% of 480 students is 456 students.
Find the equation of the line.
Use exact numbers.
y =
x+
Answer: y= 2/3x+4
Step-by-step explanation:
Bob has 8 more dimes than quarters if he has a total of $4 .30, how many of each coin dies he have?
Una persona toma un préstamo de $ 7500 para su liquidación en 6 amortizaciones mensuales iguales, con una tasa de interés del 2.5% mensual. Calcular la amortización y el valor de la cuota a pagar en el tercer mes.
Answer: $1,266.697.
Step-by-step explanation:
given data:
loan amount = $7500
duration = 6 months
interest rate = 2.5%
Solution:
[tex]A = P \frac{i(1+i)^{n} }{(1+i)^{n} -1}[/tex]
i = [tex]\frac{2.5}{100} \\= 0.025\\\frac{0.025}{6} \\= 0.004167[/tex]
=
= [tex]7500(\frac{0.00427}{0.0253} )[/tex]
= [tex]7500(0.169)[/tex]
= $1,266.697
create an expression that represents the complete factorization of p(a)=36a^3-16a
Liam puts $50 in savings in March and 150% of this amount in savings in April.
How much does Liam put in savings in April?
Answer:
150% of 50 is 75, so the answer would be $75.
Step-by-step explanation:
x/y * 26 = 65
quick!!!
Step-by-step explanation:
x/y×26=65
26x/y/26=65/26
x/y=65÷26
x/y=2.5
I’ll give brainlest if you answer this correctly!
Evan’s family drove to a theme park for vacation.
They drove the same speed throughout the trip.
The first day, they drove 300 miles in 6 hours.
The second day, they drove 250 miles in 5 hours.
The third day, they arrived at the park after driving for 3 hours.
How many miles did they drive on the third day?
- First: Calculate how many miles the family is driving in ONE hour.
There are two equations you can form to solve this.
300 / 6 = mph (miles per hour)
250 / 5 = mph (miles per hour)
300 / 6 = 50
250 / 5 = 50
They are driving 50mph. Now, you need to find out how many miles they drive in three hours.
50 * 3 = 150
Evan's family drove 150 miles on the third day.
Answer:
150 miles
Step-by-step explanation:
The first day, they drove 300 miles in 6 hours so divide 6 by 300. 300 divided by 6 equals fifty. On the third day, they drove half the amount of time, so it would be half the amount of miles because they drove the same speed throughout the trip.
300/2 so the answer to the question is 150 miles.
Given vectors u = ⟨–3, 2⟩ and v = ⟨2, 1⟩, what is the measure of the angle between the vectors? 7.1° 60.3° 119.7° 172.9°
Answer:
C) 119.7°
Step-by-step explanation:
got it right on edge :)
If nitrogen is warmer than -320^\circ−320
∘
minus, 320, degrees Fahrenheit, it will be a gas.
Write an inequality that is true only for temperatures (t)(t)left parenthesis, t, right parenthesis at which nitrogen is a gas.
Answer:
t>-320
Step-by-step explanation:
Answer:
t>-320
Step-by-step explanation:
At Maple High, the cost to attend special events depends on whether a student has purchased a $10 discount card. Option A: The student buys a discount card. The cost is $5 per event. Option B: The student does not buy a discount card. The cost is $7.50 per event.
Answer:
a. See the attached picture for the graph and the excel file for how the graph is drawn.
b. The students at Maple High should choose Option A when attending more than 4 events; but they should choose Option B when attending less than 4 events
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
At Maple High, the cost to attend special events depends on whether a student has purchased a $10 discount card.
Option A: The student buys a discount card. The cost is $5 per event.
Option B: The student does not buy a discount card. The cost is $7.50 per event.
a. Graph the relationship between total cost and number of events for each option.
b. Determine the condition under which the students at Maple High should chose each option.
The explanations to the answers is now given as follows:
Let x represent the number of events and y represents the total cost.
Options A and B can therefore be written as follows:
Option A: y = 5x + 10 ……………………………. (1)
Option B: y = 7.5x ……………………………….. (2)
a. Graph the relationship between total cost and number of events for each option.
Note: See the attached picture for the graph and the excel for how the graph is drawn.
In the excel, we assume figures for x from 1 to 10 and then calculate the associated y using equations (1) and (2) above
Also, the number of events (x) is on the horizontal axis while the total cost (y) is on the vertical axis.
The graph for Option A is the blue one while the graph for Option B is the red one.
b. Determine the condition under which the students at Maple High should chose each option.
From the graph in the picture and the attached excel file, the total costs (y) for each of Options A and B ar equal when the number of events (x) is equal to 4.
It can bee observed that when the number of events (x) is greater than 4, the total cost (y) of Option A is less than the total cost (y) of Option B. Under this condition, Option A should be chosen.
On the other hand, when the number of events (x) is less than 4, the total cost (y) of Option A is greater than the total cost (y) of Option B. Under this condition, Option B should be chosen.
Therefore, the students at Maple High should choose Option A when attending more than 4 events; but they choose Option B when attending less than 4 events.
Marley got 18 questions right on her lastest math test. When she checked her score in Aspen she saw that was 90%. How many questions were on the test?
Answer:
20 questions were on the test
Step-by-step explanation:
18 questions = 90%1 question = 5%20 questions = 100%Therefore, there were 20 questions on the test.1/2(x+4) plsss help!!!!!
Answer: 1/2x+2
Step-by-step explanation:
I just simplified
Answer the question plz and thank
(Brainliest)
Answer:
the 3rd answer
Step-by-step explanation:
:)
The correct answer is C.
All you have to do is count each letter. The amount you get is the number to the right of the letter.
For example: There are 6 Carbons, 12 Hydrogens, and 2 Oxygens. Your answer shows the correct form is should be in, C6H12O2
Find the slope of the line passing through the points (9,5) and (9,-4).
Answer:
Step-by-step explanation:
Equation in which to find the slope:
(slope) [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1 , y_1) = (9 , -4)\\(x_2 , y_2) = (9 , 5)[/tex]
Plug in the corresponding numbers to the corresponding variables:
[tex]m = \frac{5 - (-4)}{9 - 9}[/tex]
Simplify. First solve the numerator and denominators, then divide:
[tex]m = \frac{5 - (-4)}{ 9 - 9} \\m = \frac{5 + 4}{9 - 9} \\m = \frac{9}{0}[/tex]
Because a fraction cannot be out of 0, your answer will be .
Each polio vaccination consists of 4 doses, and each measles vaccination consists of 2 doses. Last year, Dr. Potter gave a total of 606060 vaccinations that consisted of a total of 184 doses. How many polio vaccinations and how many measles vaccinations did Dr. Potter give last year?
I think there is a little error in your question. I guess You mean 60 vaccinations instead of 606060. I solved using 60 vaccinations.
Answer:Dr. Potter gave 32 polio vaccines and 28 measles vaccinations that year.
Step-by-step explanation:
STEP 1
Let number of polio vaccines be x
and number of measles vaccine be y
such that
total does of 60 vaccinations be expressed as
x+y = 60---- equation 1
And number of doses for both vaccine to total 184 doses taken be expressed as
4x + 2y= 184 ---- equation 2
Step 2--- solving
x+y = 60---- equation 1
4x + 2y= 184 ---- equation 2
Making x the subject of formula in equation 1 and substituting it in equation 2
x= 60-y
4(60-y) +2y- 184
240-4y+2y=184
240-184= 4y-3y
56= 2y
y= 58/2 = 28
To get x , put the value of y=28 in equation 1 and solve
x+y=60
x=60-28
x=32
Therefore Dr. Potter gave 32 polio vaccines and 28 measles vaccinations that year.
What value of "x" makes the equation below true?
-15 + (-5x) = 0
Answer:
-3
Step-by-step explanation:
x is negative, we need x to be negative as well in order to get to 0. Therefore, x has to be -3.
Help me with This please
Answer:
I believe it is 2787.6
Step-by-step explanation:
Math
HELP NOW PLEASE ASAP!!
Answer:
The answer is D, your welcome
Answer:
The 2nd answer is correct.
Step-by-step explanation:
Between x = - 4 and x = - 1 the function is represented by a straight line (and is therefore lineair). Moreover, the value of y increases when moving to the right (and therefore the function is increasing).
Pls help with this and quick I NEED HELP ASAP
Answer:
[tex]D. Real,\ Irrational[/tex]
Step-by-step explanation:
[tex]7\pi \\As\ we\ know\ that\ 7\pi \ is\ can\ be\ factorized\ into\ 7*\pi .\\As\ we\ know\ that\ \pi \ is\ a\ transcendental,\ and\ is\ non-terminating\ non-recurring,\ it\ is\ an\ irrational\ number.\\7\ is\ a\ rational\ number\ as\ it\ is\ terminating\ and\ can\ be\ represented\\ as\ \frac{7}{1} .i.e\ in\ a\ ratio.\\Now,\\As\ The\ product\ of\ a\ rational\ number\ and\ an\ irrational\ number\ is\ irrational.\\The\ product\ of\ 7\ and\ \pi \ which\ is\ 7\pi \ is\ also\ irrational.\\Hence,\\[/tex][tex]7\pi\ is\ irrational.\\As\ we\ know\ that\ all\ rationals\ and\ irrationals\ fall\ under\ the\ category\\ of\ Real\ numbers. All\ irrationals\ are\ real\ numbers\ too.\\Hence,\\7\pi \ which\ is\ an\ irrational [As\ Proven]\ is\ also\ a\ real\ number.\\Hence,\\7\pi \ is\ real\ and\ irrational.[/tex]
PLEASE HELP! find (1,2) obtained by translating 2 units down followed by a rotation of 180 counterclockwise.
Answer:
Please check the explanation.
Step-by-step explanation:
Translating two units down means we need to subtract two units from the y-coordinate. i.e
(x, y) → (x, y-2)
We are given that the original point is (1, 2), and we have to find the image of (2, 4) obtained by translating 2 units down followed by a rotation of 180 counterclockwise.
FOR (1, 2)
Given
P(1, 2)First translation: Translating two units down
(x, y) → (x, y-2)
P(1, 2) → P'(1, 2-2) → P'(1, 0)
Second transformation: Rotation of 180 counterclockwise.
Rotation of 180 counterclockwise will make both 'x' and 'y' coordinates negative. i.e
(x, y) → (-x, -y)
Thus, after second transformation
P'(1, 0) → (-1, 0)
Thus, the image of (1, 2) obtained by translating 2 units down followed by a rotation of 180 counterclockwise will be: (-1, 0)
FOR (2, 4)
Given
P(2, 4)First translation: Translating two units down
(x, y) → (x, y-2)
P(2, 4) → P'(2, 4-2) → P'(2, 2)
Second transformation: Rotation of 180 counterclockwise.
Rotation of 180 counterclockwise will make both 'x' and 'y' coordinates negative. i.e
(x, y) → (-x, -y)
Thus, after the second transformation
P'(2, 2) → (-2, -2)
Thus, the image of (2, 4) obtained by translating 2 units down followed by a rotation of 180 counterclockwise will be: (-2, -2)
*BRAINIEST & 20 POINTS*
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
8 = x
y = 29
Step-by-step explanation:
4x + 17 = y + 20 because vertical angles theorem.
y + 20 = 5x + 9 because interior angles theorem.
4x + 17 = 5x + 9 because same side interior angles theorem.
Subtract 9 from both sides and subtract 4x from both sides.
8 = x
Plug 8 in for x and solve.
5 times 8 is 40, plus 9 equals 49. Subtract 20 from both sides and you get 29.
5(8) + 9 = y + 20
49 = y + 20
29 = y
I hope this helps!
#teamtrees #WAP (Water And Plant)
Answer:
[tex]for \: answer \: see \: the \: pic \: along \\ \: with \: it. \\ \\ \\ hope \: it \: helps \: \\plz\: mark \: as \: brainliest \: answer..[/tex]
i need this answer really bad.
Answer:
Three times a variable added to a different variable divided by six is equal to two times the different variable minus the first variable.
Step-by-step explanation:
how many times will lines 3x+4y=8 and y-5x=2 intersect
What is the period of this periodic function?
A) π/4
B) 5π/2
C) 3π/4
D) 4π/3
What are the steps to find the slope and y-intercept of the equation 16x - 4y = -32?
Answer:
slope = 4
y-intercept = 8
Step-by-step explanation:
First convert the equation into the form
y = mx + c
where m is the slope, and c is the y intercept
16x - 4y = -32
16x + 32 = 4y
4y = 16x + 32
y = 4x + 8
m = 4
c = 8
Answer:
Slope = 4
Step-by-step explanation:
16x - 4y = -32
-16x . -16x
-4y = -32 - 16x
/-4 . /-4
y = 8 + 4x
Which value is equivalent to 9^c x 9^-c A. 0 B. 1 C. 1/9^2C D. 9
Answer:
B
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
[tex]a^{0}[/tex] = 1
Given
[tex]9^{c}[/tex] × [tex]9^{-c}[/tex]
= [tex]9^{(c-c)}[/tex]
= [tex]9^{0}[/tex]
= 1 → B
En una tienda venden pepitas de chocolate y nueces. 2 libras de pepitas de chocolate y libras de nueces cuestan $20 en total. 8 libras de pepitas de chocolate y 3 libras de nueces cuestan $29 en total. Hallar cuánto cuesta cada libra de pepitas de chocolate y cada libra de nueces.
Responder:
$ 2.5 y $ 3
Explicación paso a paso:
Paso uno:
datos dados
Sea xey el costo por libra de chispas de chocolate y nueces, respectivamente
por lo tanto
2x + 5y = 20 ------ 1
y
8x + 3y = 29 ------ 2
resolviendo 1 y 2 simultáneamente tenemos
2x + 5y = 20 (multiplicar la ecuación por 4)
8x + 20y = 80 ------------- 3
restar eqn 2 de 3
8x + 20y = 80 ------------- 3
8x + 3y = 29 ----------------- 2
0 + 17 años = 51
divide ambos lados por 17
y = 51/17
y = 3
El costo de las nueces por libra = $ 3
poner y = 3 en 8x + 3y = 29 ------ 2
8x + 3 (3) = 29 ------ 2
8x + 9 = 29
8x = 29-9
8x = 20
divide ambos lados entre 8
x = 20/8
x = 2,5
El costo del chocolate por libra = $ 2.5
The yellow turtle country covered 33 cm in six minutes her speed as a unit rate is blank a country walk blank in one minute
Answer:
5.5 cm/minute
Step-by-step explanation:
Given that,
The yellow turtle country covered 33 cm in six minutes.
To find unit rate, divide distance covered by the time.
Here, distance = 33 cm
Time, t = 6 minutes
[tex]R=\dfrac{33\ \text{cm}}{6\ \text{minutes}}\\\\=5.5\ \text{cm/minutes}[/tex]
Hence, the unit rate is 5.5 cm/minute. It means, Courtney covered 5.5 cm in one minute.
