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Complete Question
Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $10 per hour. Leah cannot work more than a total of 20 hours per month. Let x represent the number of hours Leah babysits and let y
represent the number of hours Leah works at the ice cream shop.
Answer:
The inequalities to solve this question is given as:
x + y ≤ 20
5x + 10y ≥ 120
Leah must spend: 16 hours babysitting and 4 hours working at the ice cream shop to earn at least $120
Step-by-step explanation:
Let x represent the hours she number of hours she babysits and y represent the hours she works at the ice cream shop. Leah cannot work more than a total of 20 hours per month.
Hence:
x + y ≤ 20 ...... Equation 1
Leah would like to earn at least $120 per month.
She babysits for $5 an hour and works at an ice cream shop for $10 per hour.
Hence, out Equation is given as:
x × $5 + y × $10 = $120
5x + 10y ≥ 120..... Equation 2
The inequalities to solve this question is given as:
x + y ≤ 20
5x + 10y ≥ 120
To find x and y:
x + y = 20
x = 20 - y
5x + 10y = 120
Substitute: 20 - y for x
5(20 - y) + 10y = 120
100 - 5y + 10y = 120
Collect like terms
- 5y + 10y = 120 - 100
5y = 20
y = 20/5
y = 4 hours
Note:
x = 20 - y
x = 20 - 4
x = 16 hours
Hence:
Leah must spend: 16 hours babysitting and 4 hours working at the ice cream shop to earn at least $120
4/3 ÷ 7/8 = in khan academy
Answer:
1/42
Step-by-step explanation:
1 11/21
Have a Merry Christmas!
A performer expects to sell 5000 tickets for an upcoming concert. They plan to make a total of 311000 in sales from these tickets. Assume that all tickets have the same price. How much money will they make if they sell 7000 tickets?
If you were to roll a die one time, what is the probability of it landing on an odd number
Answer:
It's one half.
Step-by-step explanation:
There are six sides on a dice, three of those sides (this is half) have negative numbers. Therefore the probability is 1/2 or 0.5 or a half.
what is 4km:370m in simplest form
Answer:
4.37 KM
Step-by-step explanation:
370 m to KM = 0.37 KM
then you sum 4 KM + 0.37 KM and you have 4.37 KM in its simplest form.
Best regards
Solve the triangle. Round side lengths to the nearest tenth and angle measures to the nearest degree.
Answer:
b = 13.8
A = 45°
C = 35°
Step-by-step explanation:
Given:
m<B = 100°
a = 10
c = 8
Required:
b, m<C, and m<A
✔️Find b using Cosine Rule:
b² = a² + c² - 2*ac*Cos(B)
Plug in the values
b² = 10² + 8² - 2*10*8*Cos(100)
b² = 164 - (-27.7837085)
b² = 191.783709
Take the square root of both sides
b = 13.8 (nearest tenth)
✔️Find m<C using Sine rule:
[tex] \frac{Sin(C)}{c} = \frac{Sin(B)}{b} [/tex]
Plug in the values
[tex] \frac{Sin(C)}{8} = \frac{Sin(100)}{13.8} [/tex]
Multiply both sides by 8
[tex] \frac{Sin(C)}{8} \times 8 = \frac{Sin(100)}{13.8} \times 8 [/tex]
[tex] Sin(C) = \frac{Sin(100) \times 8}{13.8} [/tex]
[tex] Sin(C) = 0.5709 [/tex]
[tex] C = Sin^{-1}(0.5709) [/tex]
[tex] C = 35 [/tex] (nearest degree)
m<C = 35°
✔️m<A = 180 - (100 + 35) (sum of triangle)
m<A = 180 - 135
m<A = 45°
I need the answer please
Answer: i'm sorry i can not answer your question cos i can't see the last part of the problem but i riley wish i could but since i cant i'll thank you and rate you with 5 stars if you want to be friends we can just follow me and friend me you don't have to if you don't want to so stay safe around others
Step-by-step explanation:
y
What is the equation of the graphed line written in
standard form?
3
2+
1
X=-3
y=-3
O x + y = -3
Ox-y=-3
1 2 3 4 5 X
54-3-2-14
2
-3
N
4
Answer:
A) x = -3
the line is undefined
The equation of the graphed line written in slope-intercept form is x = -3
What is the Slope-Intercept form?The graphed line in slope-intercept form, y = mx + b
To Convert it into the standard form of the equation, ax + by = c.
Consider that the points be (0, 3) and (5,0).
A Slope exists how many units it brought to go vertically or horizontally.
Which Slope doesn't exist.
The y-intercept in slope-intercept form, y = mx + b
where, m = undefined
x = -3
Therefore, the correct answer is option (A), x = -3 because the line is undefined.
To learn more about slope-intercept form
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help please ><
fill in the blank
In a graph, the initial value of a functions is the _____.
Answer:
Initial value of a graph is always the variable a.
Step-by-step explanation:
If you have any questions about that, let me know :)
Answer:
The initial value, or y-intercept, is the output value when the input of a linear function is zero. It is the y-value of the point where the line crosses the y-axis. An increasing linear function results in a graph that slants upward from left to right and has a positive slope.
What is the measure of the angle?
The angle is a 90 degree angle.
Answer:
80degrees
Step-by-step explanation:
Determine all values of k that make each of the following a perfect square trinomial. X^2+8x+k
Answer:
k can either be
12
or
−
12
.
Step-by-step explanation:
Consider the equation
0=x2+4x+4
. We can solve this by factoring as a perfect square trinomial, so
0=(x+2)2→x=−2 and−2
. Hence, there will be two identical solutions.
The discriminant of the quadratic equation (b2−4ac) can be used to determine the number and the type of solutions. Since a quadratic equations roots are in fact its x intercepts, and a perfect square trinomial will have
2 equal, or 1
distinct solution, the vertex lies on the x axis. We can set the discriminant to 0 and solve:
k2−(4×1×36)=0
k2−144=0
(k+12)(k−12)=0
k=±12
P and Q are supplementary p=(5x+3) and Q=(x+3) what is the measure of Q?
a) 17 degrees
b)26 degrees
c)29 degrees
d)32 degrees
PLEASEE HELPPPP WILL GIVE BRAINLEAST IT IS URGENT!!!!
Which equation models the trend line?
A- y = –1.3x + 2
B- y = 1.3x + 2
C - y= –1.3x – 2
D- y = 1.3x – 2
Answer:
B. y = 1.3 + 2
Step-by-step explanation:
The slope is positive, and the y intercept is at positive 2.
Larry was 56 inches after his 6th grade year. After his 7th grade year he was 72 inches. What percent change in height happened to Larry? A. 22.22% B. 28.57% C. 77.77% D. 1.28%
Answer:
B. 28.57%Step-by-step explanation:
Change in height:
72 - 56 = 16Percent of change:
16/56*100% = 28.57%Correct choice is B
HOLA IM DORA AND IM GONNA NEED YOUR HELP FIGURING OUT THIS EQUATION?..... MUCHAS GRACIAS. what are the x-intercepts of the graph of y=x^2+5x+6?
A. (-2,0) and (-3,0)
B. (6,0) and (5,0)
C. (2,0) and (3,0)
D. (-6,0) and (-5,0)
Answer:
D
Step-by-step explanation:
yeah
find the value of this expression if x= -7
x^2+5/x+1
Answer:
-9
Step-by-step explanation:
Replace x with -7 in the expression:
x^2 + 5 / x + 1
-7^2 + 5 / -7 + 1
49 + 5 / -6
54/-6
simplify the fraction
9/-1 = -9
whats nine plus ten if anyone knows this meme put the answer in
Answer:
jnoioikop
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
Hahahahahahhahahahhahaha
Write an exponential function to model the situation. Then find the value of the function after 5 years to the nearest whole number. A populaton of 330 animals that decreases at an annual rate of 22%.
Answer:
Results are below.
Step-by-step explanation:
First, we need to establish the decrease function in the given population:
FV= PV/(1+g)^n
FV= future value
PV= present value
g= decrease rate
n= number of periods
Now, for the given information:
PV= 330
g= 22% = 0.22
n= 5 years
FV= 330 / (1.22)^5
FV= 122
A tree that is 10 feet tall casts a shadow that is is 5 feet long. Find the height of a light pole that casts a 9 foot
Answer:
The light pole is 18 feet tall. This is because it casts a shadow that is 9 feet long.
There is no solution to the equation sec x = 0.
True or False
Answer
yes it is true
Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level, L, after d days.
Answer:
L = -0.5x + 34
Step-by-step explanation:
When finding m in the formula y = mx + b. Find a word that means multiplication, in this case 0.5 feet per day.
Which fraction names the shaded part of the set?
The fraction of the shaded part of the set is 1/3.
Given is a figure in which there are total 12 parts with 4 parts shaded.
We need to find the fraction of the shaded part of the set,
To find the fraction of the shaded part of the set, we need to determine the ratio of the number of shaded parts to the total number of parts.
In this case, the total number of parts is 12, and the number of shaded parts is 4.
Therefore, the fraction of the shaded part can be calculated as follows:
Fraction of shaded part = Number of shaded parts / Total number of parts
Fraction of shaded part = 4 / 12
Simplifying the fraction, we get:
Fraction of shaded part = 1 / 3
So, the fraction of the shaded part of the set is 1/3.
Learn more about fraction click;
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Which table represents viable solutions for y = 5x, where x is the number of tickets sold for the school play and y is the amount of money collected for the tickets?
Answer:
Where,
x: he number of tickets sold
y: the amount of money collected for the tickets
The domain of the function must be:
Therefore, we must find a table that complies with this restriction and also have the corresponding values for x and y.
The first table complies with the restriction and has correct values for the variables:
x y
0 0
10 50
51 255
400 2000
The answer is the first table that represents viable solutions for y = 5x.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
The given function is y = 5x
Where x is the number of tickets sold for the school play
And y is the amount of money collected for the tickets.
For this case we have the following equation:
The first table complies with the restriction and has correct values for the variables:
x y
0 0
10 50
51 255
400 2000
Let's check all of the tables:
Table 1:
x = 0, y = 0 ⇒ 0 = 5 · 0 ⇒ 0 = 0
x = 10, y = 50 ⇒ 50 = 5 · 10 ⇒ 50 = 50
x = 51, y = 255 ⇒ 255 = 5 · 51 ⇒ 255 = 255
x = 400, y = 2000 ⇒ 2000 = 5 · 400 ⇒ 2000 = 2000
Since all calculations from the first table are correct.
We know that the number of tickets and amount of money collected for the tickets cannot be negative thus, options A and B are incorrect.
Since the ordered pair (65,350) does not satisfy the given equation, therefore the option D is incorrect.
Hence, the correct option is C.
Learn more about function here:
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Help plssssssssss!! Will give brainliest!! 1 and 2
Answer:
Step-by-step explanation:
5+4^2-6/3
use pemdas
Answer:hahaj
Step-by-step explanation:
Keesha has 12 glue bottles and 42 craft sticks.
What is the greatest number of supply bags
she can make if she puts an equal amount of
both in each bag?
Answer:
4 i believe
Step-by-step explanation:
Which pair shows equivalent expressions?
A. 2x + 10 = -2(x - 5)
B. -2(x + 5) = 2x -10
C. -2x - 10 = -2(x + 5)
D. -2(x - 5) = -2x - 10
Answer:
It's C
Step-by-step explanation:
When you multiply - 2 to what you have in the brackets you get - 2x - 10
Hope this helps, have a wonderful day
I’m doing a percent equation problem and the question is blank % of $50 =$35 help me plzzzz
Answer:
70
Step-by-step explanation:
blank % of $50 =$35
Let us take x in place of blank.
x % of $50 =$35
x/100 * 50 = 35
x/2 = 35
x = 35*2
x = 70
Therefore, 70% of $50 =$35
What is Bethany's score on the test if she got 23 out of 30 right? (Round to the nearest whole number.)
Answer:
77%
Step-by-step explanation:
23 divided by 30 is 0.766666, which percent-wise is rounded to 77% :)
Answer:
77%
Step-by-step explanation:
30 was 100%
23 is x%
x=23*100/30 = 76.666.. rounded to 77%
Estimate a 15% tip on a dinner bill of $31.53 by first rounding the bill amount to the nearest ten dollars.
Answer:
Should be around 4.5
Step-by-step explanation:
If you round 31.53 to the nearest ten dollars, you get 30, 15 percent of 30 is 4.5
Solve the following equation for c.
ab + cd = e
(Sorry, this is all the info they gave me.)
Answer:
Step-by-step explanation:
ab + cd = e
cd = e - ab
d =(e - ab)/d
Determine the nth term rule and find the 45th term for the arithmetic sequence with a10=1 and d=−6.
Answer:
a(45) =-209
Step-by-step explanation:
a(n) = a +(n-1)d
d=-6
we have to get a1
By using:
a(10) = a1 +(10-1)-6=1
a(10) = a1 +(9)-6 =1
a1 =1+54=55
So:a(45) = 55 +(45-1)-6=-209
hope this helps