Gloria set aside $100 to buy school lunches for the year. Each school lunch cost $2. The inequality 100 – 2x < 20 can be used to find the number of school lunches Gloria can buy before she has less than $20 left. What is the solution to this inequality?
Answer:
she would be able to buy 40 lunches
Step-by-step explanation:
Subtract 100 from both sides of the inequality
Divide each term by −2 and simplify.
The solution to the inequality 100 – 2x < 20 is x > 40
How to find solution to an inequality?
She set aside $100 to buy school lunches for the year. Each school lunch cost $2.
Therefore, the inequality can be used to find the number of school lunches Gloria can buy before she has less than $20 left.
100 – 2x < 20
The solution of the inequality is as follows;
100 – 2x < 20
subtract 100 from both sides
100 - 100 - 2x < 20 - 100
-2x < - 80
divide both sides by -2
x > 40
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Evaluate the expression 4 to the power of 3 ÷ (7 − 3) × 2.
Answer:
5.0625 is 1.5 to the fourth power
Answer:
8
Step-by-step explanation:
4 to the power of 3 is 64.
64 ÷ (7 − 3) × 2
64 ÷ (4) × 2
64 ÷ 8
8
Your answer is 8.
I hope this helps, have a nice day.
Create an answer sheet to upload as a photo WITH all work shown.
1. Calculate the exact and approximate measure for angle theta (round to two decimal places).
С
Exact
13
4
B
Approximate
2. Calculate the exact and approximate length for the side x (round to two decimal places)
B
Exact
Х
Approximate
320
A
13
С
I
3. Calculate the value for cos o
Exact
13
8
Approximate
B В
y is directly proportional to the square of x. given that y = 50 when x = 5, find the value of y when x = 3
Answer:
y = 18
Step-by-step explanation:
Given y is directly proportional to x² then the equation relating them is
y = kx² ← k is the constant of proportion
To find k use the condition y = 50 when x = 5
50 = k × 5² = 25k ( divide both sides by 25 )
2 = k
y = 2x² ← equation of proportion
When x = 3 , then
y = 2 × 3² = 2 × 9 = 18
Solve the equation x =
far for r.
A. r =
=
33
47
O
O
B. r = 3.0 – 45
c. r =
471
32
O D. r= 3x (41)
Step-by-step explanation:yo
Select the scenarios that correctly represent the given graph.
A.The amount of money in a bank account increases by 50% every year.
B.The number of oranges on a tree doubles every month.
C.The resale value of a house increases by $150 every month.
D.The amount of a substance is one and a half times larger after every minute.
E.The profit of a company increases 150 times every year.
Answer:
i think c
Step-by-step explanation:
can someone help with this one im confused.
Answer:
C
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Darius has a 6 month loan for $500. He must pay 5.6% annual interest on the loan. Using the formula for simple interest, I=Prt, where I is interest owed, P is the amount borrowed, r is the rate as a decimal, and t is time in years, find the amount of interest owed by Darius after 6 months
A. $16.80
B. $140
C. $168
D. $14
Answer:
14
Step-by-step explanation:
The values in the table represent a function.
A 2-column table with 5 rows. The first column is labeled x with entries negative 6, 7, 4, 3, negative 5. The second column is labeled f of x with entries 8, 3, negative 5, negative 2, 12.
Use the drop-down menus to complete the statements.
The ordered pair given in the first row of the table can be written using function notation as
.
f(3) is
.
f(x) = –5 when x is
.
Answer:
4rfjq3yr i
Step-by-step explanation:
Answer:
✔ f(–6) = 8
✔ –2
✔4
Step-by-step explanation:
Got them right just now on Edge !!!
The formula for centripetal acceleration, a, is given by this formula, where v is the velocity of the object and r is the object’s distance from the center of the circular path: a=v^2/r . Solve the formula for r.
Answer:
r = V^2/a
Step-by-step explanation:
Here, we want to write the formula for r
What this simply mean is that we want to make r the formula subject
We have this as follows;
a = V^2/r
r = V^2/a
Calculate the area of sector if the angle is 45 degrees and the radius is 15cm
Answer:
[tex]area = \frac{45}{360} \times \pi {(15)}^{2} \\ = 88.35729338221 \\ = 88.6 \: (3sf)[/tex]
What is the correct answer to this? Please help! Thank you so much ☺️
Answer:
second option is correct
Step-by-step explanation:
[tex]\frac{x^0y^-3}{x^2y^-1}[/tex]
=x^0-2 *y-3-(-1)
=x^-2*y^-3+1
=x^-2*y-2
=[tex]\frac{1}{x^2y^2}[/tex]
the value of x which makes 2/3(1/4x-2)=1/5(4/3x-1)
PLEASE ANSWER ASAP 45 POINTS !!!
Answer:
x= -34/3
Step-by-step explanation:
just solve by multiplying both sides by 15, then distribute 10 and 3 through the parenthesis, multiply both sides by 2, move the variable to the left side and change the sign, move the constant and change the sign, combine like terms, calculate the sum, and finally divide both sides by -3
Cost per item: $6.06 item sold: 64321 total profit: $25123.5 sale price:?
Answer:
0.39063241
Step-by-step explanation:
cost per item: 6.06
items sold: 64321
total profit: 25123.5
sale price: ?
x = number of items
64321x - 6.06x = 25123.5
64314.94x = 25123.5
x = 25123.5/64314.94 = 0.39063241
Hypothesize why human artifacts on the Moon might need to be protected.
because moon artefacts are prone to damage and need to be protected
What is the measurement shown ?
answers:
3.5
2.875
about 3.0625
Use thing below for answers
2. During her daily run, Mira looks at her fitness monitor and sees that she has run 9 miles so far. If this distance is 30% of the total distance she plans to run, how many total miles does Mira plan to run?
Answer:
[tex]let \: total \: distance \: be \: x \\ 30\% \: of \: x = 9 \\ \frac{30}{100} \times x = 9 \\ 30x = 900 \\ x = 30 \\ total \: distance = 30 \: miles[/tex]
The total distance Mira plan to run is 30 miles.
What is percentage?Percentage is a way of expressing a number as a fraction of 100. It is often denoted using the symbol ‘%’. For example, 25% is the same as 25/100 or 0.25. Percentages are used to express how large or small one quantity is relative to another quantity.
Given that, Mira has run 9 miles.
Let the total distance be x miles.
Distance is 30% of the total distance she plans to run
Here, 30% of x =9
30/100 ×x=9
30x=900
x=900/30
x=30
Therefore, the total distance Mira plan to run is 30 miles.
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Let p: A number is greater than 25.
Let q: A.number is less than 35.
If p ^ q is true, then what could the number be? Select two options.
Answer:
Here we do not have the options, so I will answer in a general way.
We have two statements:
p = A number is greater than 25
q = A number is less than 35
We want to have:
p ^ q is true
This means:
p and q are true.
So, we need to find a number such that both conditions are meet, so we need to find a number N such that
The number N is greater than 25 (from p)
The number N is less than 35 (from q)
So N can be any number between 25 and 35
So, some of the possible values of N are:
N = 26
N = 27
N = 28.6
N = 33
N = 34
Concluding, any number N ∈ (25, 35) can be a solution.
(Note that N = 25 and N = 35 are not solutions)
Given that (1,4) is on the graph f(x), find the corresponding points of a function 1/4f(x)
Answer:
(1,1)
Step-by-step explanation:
In the equation f(x), you are plugging in the x coordinate which in this case is one. That means in 1/4f(x), x will remain the same, because you are still plugging in the same thing. What will change is the y coordinate. 1/4f(x) is saying that the y coordinate will be a fourth of the original y coordinate(4). 4 times 1/4 is equal to one.
If the x coordinate stays the same, and the y coordinate is a fourth of 4, the corresponding points in the function f(x) will be (1,1)
Q. The ratio 12:27 simplified to the form 1:n is *
a-1:2.25
b-1: 0.4
Answer:
1:2.25
12/12 = 1
27/12 = 2.25
Hope this helps!
The (blank) of a power is the common factor. 1. Exponent 2. Square root 3. Power 4. Scientific notation 5. Marginal frequency 6. Base
Answer:
6. Base
Step-by-step explanation:
In Mathematics, a power involves the multiplication of factors repeatedly. Thus, it's simply a multiplication (product) of repeated factors.
The base of a power is the common factor. When working with a power, the base is the number that is the common factor.
For example;
10⁴ = 10 * 10 * 10 * 10
Therefore, the base in the above expression is 10.
Additionally, the exponent is 4 and it represents the number of times the base "10" was used as a factor.
if 20% of ms.moore's class earned a d how many of her 30 students earned a d what percent of students earned a different grade
Answer:
6 students earned a d and 80% got other
Step-by-step explanation:
Answer:
6 students, 80% of students
Step-by-step explanation:
20% of her 30 students earned a D. To find exactly how many students earned a D, we can convert the 20% into a fraction and thereby multiply the fraction by 30.
[tex]20[/tex]%[tex]=[/tex]
[tex]\frac{20}{100}=\\\frac{1}{5}[/tex]
Ok, [tex]\frac{1}{5}[/tex] of Ms. Moore's 30 students earned a D. Let's multiply.
[tex]\frac{1}{5}*\frac{30}{1} =\\6[/tex]
6 students in Ms. Moore's class earned a D.
Therefore, the rest of the class earned a different grade. [tex]30-6=24[/tex] students had a different grade. To find the percentage, we simply divide by the total number of students and multiply by 100%
[tex]\frac{24}{30} =\\\frac{4}{5} =\\0.8=[/tex]
[tex]80[/tex]%
80% of students in Ms. Moore's class got a grade other than D.
I hope this helps! Let me know if you have any questions :)
Using the net below, find the surface area
of the pyramid.
4 cm
2 cm
2cm
helpppppppp pleaseeee
Answer:
dkfjrjdjcjejxjxjwjjxjdjcjxjxjsjbebebdndnd
Answer:
what do you want to ask about i will answer
Which of Roosevelt's contributions is considered to be the biggest construction undertaking in the nation's history?
Answer:
Public works administration
Step-by-step explanation:
Roosevelt's public work administration was a part of the new deal in the year 1933. The PWA was intended to cut down on the number of unemployed persons, and to raise the purchasing power of the people through the constructions. Most job seekers that were employed were those that had no formal education. the public works projects included road constructions, bridges, dams as well as public buildings like schools, hospitals
How much is 106 divided by 6?
A) 17 R2
B)17 R3
C)17 R4
D)17 R1
Answer:
C, 17 R4.
Step-by-step explanation:
6x17 is equal to 102, and 102+4 gets you to 106, therefor C is the correct answer.
Where are the corresponding angles in the diagram below?
ANSWERS:
Answer #1: 1 and 5
Answer #2: 1 and 3
Answer #3: 2 and 4
Answer #4: 2 and 7
Answer:
the answer is #1
Step-by-step explanation:
To convert 120 ounces to pounds, which of the following proportions should you use?
ANSWER VERY QUICKLY PLEASE!!!! NEED ANSWERS ASAP.
Answer: you would use the last option
The human resources managet at a company records the length in hours of one shift at work, X. He created the probability distribution below. What is the probability that a worker chosen at random works at least 8 hours?
Answer:
The probability that a worker chosen at random works at least 8 hours is 0.83
Step-by-step explanation:
Given
See attachment for probability distribution
Required
[tex]P(x \ge 8)[/tex]
At least 8 hours means that a worker works for 8 hours or more.
So:
[tex]P(x \ge 8) = P(x = 8) + P(x = 9) + P(x = 10)[/tex]
By reading the probabilities from the graph, we have:
[tex]P(x \ge 8) = 0.61 + 0.14+ 0.08[/tex]
[tex]P(x \ge 8) = 0.83[/tex]
The graph shows the growth rate of a certain bacteria in a lab, where the number of bacteria depends on the number of hours since the start of the experiment.
Based on the graph, what is the approximate number of bacteria after 16 hours?
6 bacteria
8 bacteria
60 bacteria
80 bacteria
Answer:
The input for the method is a continuous function f, an interval [a, b], and the function values f(a) and f(b). The function values are of opposite sign (there is at least one zero crossing within the interval). Each iteration performs these steps: Calculate c, the midpoint of the interval, c = a + b2.
Step-by-step explanation:
---------------------------
Answer:
60 bacteria
Step-by-step explanation:
c on edge 2022