Given:
Michelle plans on raising $80.
Selling price of each shirt = $10
So far she has raised $20.
To find:
The number of more shirts she needs to sell.
Solution:
Let x be the number of more shirts she needs to sell.
Selling price of one shirt = $10
Selling price of x shirt = $10x
Total raising amount = $(10x + 20)
Michelle plans on raising $80. So,
[tex]10x+20=80[/tex]
Subtract both sides by 20.
[tex]10x=80-20[/tex]
[tex]10x=60[/tex]
Divide both sides by 10.
[tex]x=\dfrac{60}{10}[/tex]
[tex]x=6[/tex]
So, the required equation is [tex]10x+20=80[/tex]
Therefore, the correct option is A.
4. A math tutor makes $12 an hour for the first 40 hours she works during a week and $24 an hour for each hour over 40 hours. As an exercise for her students, she had them graph her total weekly pay in dollars as it relates to her number of hours worked. Now you will do the same. (6 points: Part I - 1 point; Part II - 2 points; Part III - 1 point; Part IV - 2 points)
Part I: What equation models the tutor's total weekly pay y in dollars as it relates to the number of hours x that she has worked if the tutor has worked 40 hours or fewer?
Part II: What equation models the tutor's total weekly pay y in dollars as it relates to the number of hours x that she has worked if the tutor has worked more than 40 hours?
Part III: Combine the slope-intercept equations found in parts I and II into one piecewise equation.
Part IV: Graph the tutor's total weekly pay in dollars as it relates to her number of hours worked by using the piecewise equation from part III and the coordinate grid below.
Answer:
See below
Step-by-step explanation:
Part IWhen x ≤ 40, the equation is
y = 12xPart IIWhen x > 40
y = 12*40 + 24(x - 40) ⇒ y = 24x - 960 + 480 ⇒y = 24x - 480Part III[tex]y = \left \{ {12x, if x < or = 40 \atop {24x - 480, if x>40}} \right. \\[/tex]
Part IVThe graph is attached
Which of the following is the graph of f (x + 3)?
Answer:
I'd say it's C... that's shift on x-axis and the plus symbolizes the shift in the minus "region" because that's swapped you count how many steps you have to go to get to the zero.
Ahmed paid $18 for a shirt which has a marked price of $25. What is the percentage discount?
Consider the following equations: y = 2 x minus 3. y = 2 x. y = 2 x + 2. y = 2 x + 5. Discuss the similarities and differences of the graphs of these equations. (Use a graphing calculator if you have one.) a. Same slopes; same y-intercepts b. Same slopes; different y-intercepts c. Different slopes; different y-intercepts d. Different slopes; same y-intercepts Please select the best answer from the choices provided A B C D
Answer:
its c
Step-by-step explanation:
i just did it in edge hope this helps
Answer:
its c
Step-by-step explanation:
i just did it and got it right
find H.C.F of 2x+4 and x^2-4
Answer:
(x+2)
Step-by-step explanation:
(2x+4) = 2(x+2)
x^2-4 = (x+2)(x-2)
H.C.F = (x+2)
Hope this helped!
Factor each expression separately.
2x + 4 becomes 2(x + 2).
x^2 - 4 becomes (x - 2)(x + 2).
The highest common factor is (x + 2).
Find the total surface area of the
following square pyramid:
10 cm
12 cm
SA = [?] cm2
Step-by-step explanation:
Hope this helps, happy learning!!!!
The surface area of the square pyramid will be 240 square centimeters.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The dimension of the square pyramid will be 12 cm and 10 cm.
Then the surface area of the square pyramid will be
The surface area is four times the area of the triangle.
Surface area = 4 x 1/2 x 12 x 10
Surface area = 2 x 120
Surface area = 240 sqaure cm
More about the geometry link is given below.
https://brainly.com/question/7558603
#SPJ2
For which system of equations would you need to estimate the solution?
Answer:the second graph or b
Step-by-step explanation:
i got it right on edunity2020
Answer:
its b.
Step-by-step explanation:
just did it
-2q– 32 = 0
q=
and
Som
One
Please
He
Lp
Ple
Ase
If you go out to eat with 3 friends and you mea was $72.50 there is a 6.75% slaes tax and you should tip the waiter 15% how much should each person pay.
Answer:
$29.42Step-by-step explanation:
Total cost of meal for the 3 friends = $72.50
sales tax = 6.75%
percent tip = 15%
Total %paid on meal = 6.75%+15% = 21.75%
Increment paid = 21.75% of $72.50
Increment paid = 21.75/100 * 72.50
Increment paid = 21.75 * 0.7250
Increment paid = $15.7685
Total amount paid = original cost + increment
Total amount paid = $72.50+$15.7685
Total amount paid = $88.26875
If the 3 friends paid $88.26875
Each person will pay $88.26875/3 = $29.42
Hence each person will pay $29.42
(8.4C) Ken has a weekly goal for the number of
calories he will burn by taking brisk walks. The
equation y = -300x + 2400 represents the
number of calories, y, Ken has left to burn after
x hours of walking. What is the slope in this
situation?
Answer:
the slope is -300
Step-by-step explanation:
y=mx+b
m is slope
Triangle TUV, with coordinates T (3, 3), U(3, -2), and V(-7,3), undergoes a dilation about the origin to produce triangle
WXY. If triangle W XY has coordinates W(6,6), X(6,-4), and Y(-14,6), what is the scale factor?
Answer:The scale factor is 2
Step-by-step explanation:
I took the test and I got it right
Answer:
Step-by-step explanation:
It’s 2
A water chips system in a garden uses 2/3 cup of water every 1/6 of an hour how much water is used one hour
Answer:
4
Step-by-step explanation:
1/6 of an hour is 10 minutes. there are 60 minutes. 2/3 times 6 is 4. I hope that helped :)
Answer:
6*2/3= 4 cups of water are used in one hour
Step-by-step explanation:
There is 6, 1/6 of an hour in an hour so we would multiply 2/3 (which is used every 1/6 of an hour) by 6 to get the answer.
Linda's account has a balance of −$45.50. If she owes the bank more than $30, her account gets closed. Which of the following is true about Linda's account?
Answer:
There's no options but it will get closed
Step-by-step explanation:
Answer:
Step-by-step explanation:
-75.5
6 is a Natural, Whole, and Integer number,
True or false
Answer:
This is true!
Step-by-step explanation:
It is natural because it is a positive integer greater than 0, it's whole because its not negative and it is an integer.
Plz Help...
Find x in the given triangle.
Answer:
[tex]\huge\boxed{x=2\sqrt{286}}[/tex]
Step-by-step explanation:
Use the Pythagorean theorem:
[tex]leg^2+leg^2=hypotenuse^2[/tex]
We have:
[tex]leg=x\\leg=15\\hypotenuse=37[/tex]
Substitute and solve for x:
[tex]x^2+15^2=37^2\\\\x^2+225=1269\qquad|\text{subtract 225 from both sides}\\\\x^2+225-225=1269-225\\\\x^2=1144\to x=\sqrt{1144}\\\\x=\sqrt{4\cdot286}\\\\x=\sqrt4\cdot\sqrt{286}\\\\x=2\sqrt{286}[/tex]
What is the value of the expression below?
(9.5 minus 3 times 1 and one-half) divided by 0.5
0.5
5
10
19.5
Answer:
19.5
Step-by-step explanation:
9.5 minus 3 is 6.5
6.5 times 1.5 is 9.75
9.75 divided by .5 is 19.5
Answer:
d
Step-by-step
because i said so
Y=-6x+10. Y=-6x+3
Solve the system of equations
Given:
The system of equations is
[tex]y=-6x+10[/tex]
[tex]y=-6x+3[/tex]
To find:
The solution of given system of equations.
Solution:
Slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
For [tex]y=-6x+10[/tex], slope is -6 and y-intercept is 10.
For [tex]y=-6x+3[/tex], slope is -6 and y-intercept is 3.
Slopes of both lines are but the y-intercepts are difference. So, the two lines are parallel.
Therefore, the given system of equation has no solution.
u+(−5)=−15 What do do to the negative 5 if its ib parentheses
Answer:
u = -10
Step-by-step explanation:
u + (−5) = −15
u − 5 = −15 distributive multiplication, think of it like 1 * -5 = -5
u = -10 add 5 to both sides of equality
La altura de una pelota que es lanzada directamente hacia arriba con una velocidad de 40 pies/s esta dada por y=40t -16t2 ¿Cuál es la altura máxima alcanzada por la pelota?
Explicación paso a paso:
Dada la altura de una pelota que se lanza directamente hacia arriba con una velocidad de 40 pies / modelada por la ecuación y = 40t -16t ^ 2
La pelota alcanzó su altura máxima cuando la velocidad es cero.
La velocidad se expresa como dy / dt
dy / dt = 40 - 2 (16) t
dy / dt = 40 - 32t
A altura máxima, dy / dt = 0
0 = 40-32t
-40 = -32t
t = 40/32
t = 1,25 s
Para obtener la altura máxima alcanzada, sustituirá t = 1.25 en la función modelada de la altura como se muestra;
y = 40t - 16t ^ 2
y = 40 (1,25) - 16 (1,25) ^ 2
y = 50 - 25
y = 25
Por tanto, la altura máxima que alcanza la pelota es de 25 m
Queremos encontrar la altura máxima alcanzada por una pelota que es lanzada hacia arriba. Veremos que la altura máxima es 25 pies.
Encontrando el máximo.
Sabemos que la ecuación de la altura es:
y = 40*t - 16*t^2
Podemos ver que es una parabola con un coeficiente lider (el que multiplica la variable al cuadrado) negativo. Esto sinifica que el maximo esta en el vertice.
Para una parabola general:
a*x^2 + b*x + c
El vertice está en:
x = -b/(2a)
Así que en nuestro caso, el vertice de y = -16*t^2 + 40*t está en:
t = -40/(2*(-16)) = 1.25
Para encontrar la altura maxima evaluamos la ecuación en este valor de t:
y = 40*1.25 - 16*(1.25)^2 = 25
Es decir, la altura máxima es 25 pies.
Sí quieres aprender más sobre parabolas, puedes leer:
https://brainly.com/question/12272972
A ski club rents cross-country skis. The table below shows the cost of rentals for two and four days. Number 1 2 3 of Days Rented Rental Cost ($) 12 17 22 27 Which explicit formula models the cost of renting skis from the club? o an . = 12 + 5n O an . 10n An = 5 + 5n O an an = 7+5n
Answer:
an = 7 + 5n
Step-by-step explanation:
First we know that for each number of days rented the cost increase by 5 so we get an - (?) + 5n.
We also know the first number is 12 for 1 day, so for 0 days, or the starter cost, is 7. We get this by subtracting 5 from 12.
Hence the answer an = 7 + 5n
Answer:
Step-by-step explanation:
I need help quick please
Answer:
search it up its there
Step-by-step explanation:
All Common multiples between 2 and 9
Answer:
18, 36, 54, 72, 90...
Step-by-step explanation:
What is the solution to the equation above
Answer:
A = 3/4
Step-by-step explanation:
alternately could equal 0.75
Hank sells toy cars on a web site. The web site fee is $30. Hank sells each toy car for $4.
What inequality does Hank use to determine how many toy cars, c, he must sell to make a
profit of at least $50?
A
B
34c s 50
340 250
40 + 30 S 50
40 - 30 250
С
D
Answer: D
Step-by-step explanation:
Help me pleaseeeeee!!!!
Answer:
B
Step-by-step explanation:
It's a guess
Classify the following triangle based on its shape.
Answer: a right triangle
Step-by-step explanation:
can you plz help me with this?
Answer:
asdfghjkvbn]
Step-by-step explanation:
Answer:
y=35
you put 4y-100-4y =180
4+4= 8 so it's 8y-100=180
180+100=280 then 280/8 is 35
so y=35
Evaluate each value expression for the given value of x: 3x-13, x=6
LAST ONE HURRY,FAST!!!!!!!!!!!!!!!!!!!
Answer:
30
Step-by-step explanation:
ANSWER NEEDED ???????
6 2/5 x 3 ÷ 2 2/4 =
4 4/5 x 5 7/5 ÷ 6 8/9=
Answer:
Answers are below
Step-by-step explanation:
Q1. 64x^3/25
Q2. 3456x/775