Answer: the answer is 8
Step-by-step explanation:
-6 + 8 = 2 (y)
A teachers age is 6 years greater than 2 times a students age. A principals age is 10 years greater than 3 times the students age. If x represents the students age in years, wich expression represents how many years older the principal is than the teacher ?
Answer:
6+2x < 10+3x
Step-by-step explanation:
The expression for the teacher is 6+2x
The expression for the principal is 10+3x
To solve put them as 6+2x < 10+3x
what is 2.48 divided by 8
Answer:
.31
Step-by-step explanation:
Answer:
0.31
Step-by-step explanation:
Jackie runs and dances for 75 minutes every day.
She dances 25 minutes more than she runs.
Part A: Write a pair of linear equations to show the relationship between the
number of minutes Jackie runs (x) and the number of minutes she dances (y)
every day.
Part B: How much time does Jackie spend running every day? Show your work.
Part C: Is it possible for Jackie to have spent 45 minutes dancing every day?
Explain your reasoning.
Answer: A. x + y = 75 B. She spends 25 minutes running and 50 minutes dancing every day. C. Yes it is.
Step-by-step explanation: B. She spends 25 minutes running and 50 minutes dancing every day, because if she dances for 25 more minutes then she runs then we can minus 25 from 75 which we get 50. Then we take the 50 a divide it by 2 because of the two categories dancing and running. So we know she spends 25 minutes running then 25 minutes dancing but we need to add the 25 minutes to dancing. So she spends 25 minutes running and 50 dancing. C. Yes it is because she already dances for 50 minutes a day so all she needs to do is workout for 10 minutes less so 65 minutes one day.
A system of linear equation consists of multiple linear equations
The system of linear equations is: [tex]\mathbf{x + y = 75}[/tex] and [tex]\mathbf{y = 25 + x}[/tex]She spends 25 minutes runningIt is possible to dance 45 minutes every day(a) A pair of linear equations
She dances and runs for 75 minutes.
So:
[tex]\mathbf{x + y = 75}[/tex]
She dances 25 minutes more than she runs.
So:
[tex]\mathbf{y = 25 + x}[/tex]
So, the system of linear equations is: [tex]\mathbf{x + y = 75}[/tex] and [tex]\mathbf{y = 25 + x}[/tex]
(b) The time she spends running every day
Substitute 25 + x for y in [tex]\mathbf{x + y = 75}[/tex]
[tex]\mathbf{x + 25 + x = 75}[/tex]
Subtract 25 from both sides
[tex]\mathbf{2x = 50}[/tex]
Divide both sides by 2
[tex]\mathbf{x = 25}[/tex]
Hence, she spends 25 minutes running
(c) Is it possible to dance 45 minutes each day
We have:
[tex]\mathbf{y = 25 + x}[/tex]
So:
[tex]\mathbf{y = 25 + 45}[/tex]
[tex]\mathbf{y = 70}[/tex]
This means that, she has to spend less minute running and dancing.
Read more about system of equations at:
https://brainly.com/question/12895249
First, rewrite 5/9 and 11/21 so they have a common denominator. Then, use to order 5/9 and 11/21.
5/9 and 11/21
LCM of the denominators is 63
changing their denominators to all have a common denominator of 63:
5(7)/63 = 35/63
11(3)/63 = 33/63
from the above;
5/9 > 11/21.
two times a number added to -4, subtracted from triple the sum of eight times the number and five
Answer:
2x+(-4)-8x(3)-5
Answer:
-22a-9
Step-by-step explanation:
2a+(-4)-3(8a+5)
2a+4-24a-15
2a-24a+4-15
-22a-9
There are 50 puddles on 10 orange blossoms. each blossom has the same number of petals. how many petals are on one blossom?
y > -x +2
y < 3x - 2
Answer:
make a better answer pls
Step-by-step explanation:
Veronica bought 20 bags of candy for a school dance. The first 5 bags cost $1.79 each. The rest of the bags cost $1.19 each. How much did Veronica spend on candy?
Answer:
$26.80
Step-by-step explanation:
multiply 1.79 by 5 and you get 8.95
multiply 1.19 by 15 now because there are 15 uncounted bags left and you get 17.85
add together and you get 26.8. she spent 26.8 dollars on candy
(50 POINTS FOR THE FIRST ANSWER)
At the grocery store, Savvanah notices that it costs $2.48 for 40 ounces of jelly. What is the unit price?
Answer: 16.13
Step-by-step explanation: 40 divided by $2.48
Big Ben is a famous clock tower in London. The circumstance around the clock is 72.22. How long is the hour on the clock if it is the radius of the circle
The hour hand is 9 feet (2.7 m) long and the minute hand is 14 feet (4.3 m) long.
Please can someone help me
Answer:
A, C ,E
Step-by-step explanation:
En el estante de un negocio hay 2 tipos de tarros de la misma mermelada y marca. El tarro más alto tiene el doble de altura que el otro, pero su diámetro es la mitad del diámetro del otro. El tarro más alto vale $4.500 y el más bajo $8.000, ¿ cuál es la mejor compra ? help
Answer:
tarro corto
Step-by-step explanation:
Aquí tenemos que comprar el frasco que tiene el menor costo por volumen.
[tex]h_1[/tex] = Altura del frasco corto
[tex]h_2[/tex] = La altura del frasco alto es el doble que el del frasco corto. = [tex]2h_1[/tex]
[tex]d_1[/tex] = Diámetro del frasco corto
[tex]d_2[/tex] = El diámetro del frasco alto es la mitad del frasco corto = [tex]\dfrac{1}{2}d_1[/tex]
El volumen de un cilindro es [tex]\pi \dfrac{d^2}{4}h[/tex]
La razón de los volúmenes de los frascos es
[tex]\dfrac{V_1}{V_2}=\dfrac{\pi\dfrac{d_1^2}{4}h_1}{\pi\dfrac{d_2^2}{4}h_2}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{d_1^2h_1}{d_2^2h_2}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{d_1^2h_1}{(\dfrac{1}{2}d_1)^22h_1}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{d_1^2h_1}{\dfrac{1}{4}d_1^22h_1}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{1}{\dfrac{1}{2}}\\\Rightarrow \dfrac{V_1}{V_2}=2\\\Rightarrow V_1=2V_2[/tex]
El costo del frasco corto por unidad de volumen es
[tex]\dfrac{8000}{V_1}=\dfrac{8000}{2V_2}=\dfrac{4000}{V_2}[/tex]
El costo del frasco alto por unidad de volumen es
[tex]\dfrac{4500}{V_2}=\dfrac{4500}{V_2}[/tex]
[tex]\dfrac{4000}{V_2}<\dfrac{4500}{V_2}[/tex]
Entonces, el costo del frasco corto por unidad de volumen es menor que el costo por unidad de volumen del frasco alto.
Por lo tanto, deberíamos tomar el frasco corto.
what is 3 1/2 minus 1 1/2
Answer:
the answer is 2! :)
Step-by-step explanation:
please help me asap
Answer:
7/24 i think
Step-by-step explanation:
Answer:
5/12
Step-by-step explanation:
10/24 is equivalent to 5/12
You are making identical balloon arrangements for your family reunion. You have 42 maroon
balloons, 126 white balloons, and 14 orange balloons. You want each arrangement to have the
same number of each color. What is the greatest number of arrangements you can make if
every balloon is used? How many of each color of balloons will be in each arrangement?
Answer: 42 in all, 14 of each.
Step-by-step explanation
The color with the least amount of balloons is orange with 14. this means to have an equal amount of balloons for each color, you would need 14 of each color.
Answer:
42
Step-by-step explanation:
a) Given g(x) = 4x – 3, what function h(x) would represent a downward shift by two units? Show your solution.
b) Sketch the original function g(x) =4x -3 and the new function that you got from letter a.
Reflect g(x) = x3 + x2 - 3x - 1 across the y -axis. What is the new function and show your work?
a) The solution to the transformation of the function is h ( x ) = 4x - 5
b) The reflection of function g ( x ) over y axis is f ( x ) = -x³ + x² + 3x - 1
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the function be represented as g ( x )
Now , the value of g ( x ) = 4x - 3
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
On transformation of the function by a vertical shift of 2 units , we get
h ( x ) = g ( x ) - 2
Substituting the values in the equation , we get
h ( x ) = 4x - 3 - 2
h ( x ) = 4x - 5
So , the transformed function is h ( x ) = 4x - 5
b)
On reflecting the function g ( x ) over y axis , f ( x ) = g ( -x )
Substituting the value of x as -x in the function , we get
g ( -x ) = ( -x )³ + ( -x )² - 3 ( -x ) - 1
So , f ( x ) = -x³ + x² + 3x - 1
Hence , the transformed function is h ( x ) = 4x - 5
To learn more about transformation of function click :
https://brainly.com/question/26896273
#SPJ2
JASON BASEBALL TEAM SCORES 6 RUNS EVERY 2 INNINGS. WHAT IS THE RATIO OF RUNS TO INNINGS.
Answer:
6:2
Step-by-step explanation:
simple math ... then u simplify and the answer is 3:1
HELP ASAP PLEASEEEEE
I need help help......
Answer:
Y = x - 4
Step-by-step explanation:
Y = x - 4
if you substitute x for all the x on the table, it will equal to the y on the table
Ex. If x is -1
y = -1 - 4 = -5
5. Pens are sold in a local store for 80 cents each. The factory has $1200 in fixed costs plus 5 cents of additional expense for each pen made. Assuming all pens manufactured can be sold, find the break-even point.
Answer:
22
Step-by-step explanation:
,
Someone help me with 5 and 6 please I have to finish this RNNNN PLEASE THANK UUUU
Answer:
5: letter D
Step-by-step explanation:
A number line going from negative 3 to 0 in increments of 1. There are 3 equal spaces between each number. Point A is 1 mark to the left of 0. Point B is 2 marks to the left of 0. Point C is 1 mark to the left of negative 1. Point D is 2 marks to the left of negative 2. Lukas plotted these points on the number line. Point A: −12 3 Point B: −2 3 Point C: −11 3 Point D: −22 3 Which point did he plot incorrectly? Point
HELP ME PLSSS
Answer:
Point A
Step-by-step explanation:
Maria sold 91 tickets and Sarah sold 70 tickets. What is the ratio of the number of tickets Maria sold to the total number of tickets sold?
Answer:000000 mdmdjdjc
Step-by-step explanation:ok
An astronaut is returning to Earth in a spacecraft. If the spacecraft is descending at a rate of 13.81 kilometers per minute, what will be its change in height after 512 minutes? Round your answer to the nearest kilometer.
Answer: 37.07 km
Step-by-step explanation: you would divide 512 by 13.81 to get the answer.
Answer:
Step-by-step explanation:
Do the ratios
10 2
and
form a proportion?
20 4
Karen earns $54.60 for working 6 hours. If the amount she earns varies directly with the
number of hours she works, how many hours would she need to work to earn an
additional $260?
Given:
Karen earns $54.60 for working 6 hours.
Amount she earns varies directly with the number of hours she works.
She need to work to earn an additional $260.
To find:
Number of hours she need to work to earn an additional $260.
Solution:
Let the amount of earnings be A and number of hours be t.
According to question,
[tex]A\propto t[/tex]
[tex]A=kt[/tex] ...(i)
where, k is constant of proportionality.
Karen earns $54.60 for working 6 hours.
[tex]54.60=k(6)[/tex]
Divide both sides by 6.
[tex]\dfrac{54.60}{6}=k[/tex]
[tex]9.1=k[/tex]
Put k=9.1 in (i).
[tex]A=9.1t[/tex]
Substitute A=260 in the above equation.
[tex]260=9.1t[/tex]
Divide both sides by 9.1.
[tex]\dfrac{260}{9.1}=t[/tex]
[tex]28.5714=t[/tex]
[tex]t\approx 29[/tex]
Therefore, she need to work extra about 29 hours to earn an additional $260.
Question 2 help please
Answer:
The measure of the vertex angle is 94 degrees ⇒ A
Step-by-step explanation:
In any triangle, the sum of the measures of its interior angle is 180°In the isosceles triangle, the two base angles are equal in measures∵ In an isosceles triangle, the measure of the base angle = (2x + 5)
∵ The base angles of the isosceles triangles are equal in measures
∴ The measures of the base angles are (2x + 5), (2x + 5)
∵ The measure of the vertex angle = (5x - 1)
∵ The sum of the measure of the three angles = 180°
∴ (2x + 5) + (2x + 5) + (5x - 1) = 180
→ Add the like terms in the left side
∵ (2x + 2x + 5x) + (5 + 5 + -1) = 180
∴ 9x + 9 = 180
→ Subtract 9 from both sides
∴ 9x + 9 - 9 = 180 - 9
∴ 9x = 171
→ Divide both sides by 9 to find x
∴ x = 19
→ Substitute the value of x in the measure of the vertex angle to find it
∵ The measure of the vertex angle = 5x - 1
∴ The measure of the vertex angle = 5(19) - 1
∴ The measure of the vertex angle = 95 - 1
∴ The measure of the vertex angle = 94°
∴ The measure of the vertex angle is 94 degrees
8 xy + 1 =
PLEASE I CAN’T DO MATH
Answer:
send photo of question
Linda is riding on a bike course that is 60 miles long. So far, she has ridden 54 miles of the course. What percentage of the course has Linda ridden so far?
Answer:
Linda has ridden 90% of the course
Step-by-step explanation:
To find the percentage the formula is
distance ridden so far/total distance X 100
54/60 X 100
= 0.9 X 100
= 90
=90%
Therefore Linda has ridden 90% of the course.
how many groups of 2/3 go into 3/5
Answer:
2!
Step-by-step explanation:
