Answer:
7 will be the answer.
Step-by-step explanation:
The angles are complementary angles i.e their sum is 90°.
(5a+3)°+52°=90°
5a+55°=90°
5a=90°-55°
5a=35°
a=35°/5
a=7
To keep producing a specific shirt style, a clothing company must make a profit of at least $5,000 on the style.
This system of inequalities models the potential profit from the sales of the shirt style and the profit constraints, where p represents the profit
and x is the shirt price,
p < -15x2 + 6003 + 60
P5,000
Complete the statements about the system's possible solutions.
When the price of the shirt is $15, the company
When the price of the shirt is $25, the company
its profit goals.
its profit goals.
Reset
Next
Answer:
At x = 15 ; price meets profit goal
At x = 25 ; price does not meet profit goal
Step-by-step explanation:
Constraint:
p < -15x2 + 600x + 60
P ≥ 5,000
x = shirt price ;
If x = 15
p ≤ -15(15²) + 600(15) + 60
p ≤ -3375 + 9000 + 60
p ≤ 5685
p ≥ 5000
5685 ≥ 5000 ( condition is met)
2.)
With a shirt price of $25
x = 25
p ≤ -25(25²) + 600(25) + 60
p ≤ -15625 + 15000 + 60
p ≤ - 565
p ≥ 5000
-565 < 5000 ( condition is not met)
a) When the price of the shirt is $15, the company meets its profit goals.
b) When the price of the shirt is $25, the company meets its profit goals.
What is the profit goal?The profit goal is met when the price of a good or service exceeds the costs of its production and sales.
At p < -15(15)^2 + 600 (15) + 60 and p <= -15(25)^2 + 600(25) + 60, the profit goal of $5,000 is met.
Thus, we can conclude that:
a) When the price of the shirt is $15, the company meets its profit goals.
b) When the price of the shirt is $25, the company meets its profit goals.
Learn more about the importance of financial planning in meeting the profits goal at https://brainly.com/question/12890843
#SPJ5
convert 49% into a equivalent decimal
Answer:
0.49
Step-by-step explanation:
49 / 100 = 0.49
Answer:
49% = 49/100 out of 1, so it is .49.
GCF of 48, 36, and 16. (this is all I need thx) :)
Answer:
4
Step-by-step explanation:
16=2^4
48=2^4·3
36=2²·3²
GCF=2^2
=4
hope this helps :)
Emani borrowed $2,000 from his bank. The loan will be compounded quarterly for 3.5 years at an 8% interest rate. The full amount to the nearest
whole cent) he will owe to the bank (principal + interest) is:
Note: Use the formula: FV = P(1 + yt.
Answer:$3,661.24.
Step-by-step explanation:
Find the length of the third side. If necessary, write in simplest radical form.
Answer:
[tex]\boxed {\boxed {\sf 8}}[/tex]
Step-by-step explanation:
This triangle has a small square, which represents a right angle. Therefore, we can use the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
Where a and b are the legs of the triangle and c is the hypotenuse.
In this triangle, 7 and √15 are the legs, because these sides make up the right angle. The unknown side is the hypotenuse, because it is opposite the right angle. So, we know two values:
[tex]a= 7 \\b= \sqrt{15}[/tex]
Substitute these values into the formula.
[tex](7)^2+(\sqrt{15})^2=c^2[/tex]
Solve the exponents.
(7)²= 7*7=49[tex]49+ (\sqrt{15})^2=c^2[/tex]
(√15)²=√15*√15=15[tex]49+15=c^2[/tex]
Add.
[tex]64=c^2[/tex]
Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.
[tex]\sqrt{64}=\sqrt{c^2} \\\sqrt{64}= c\\8=c[/tex]
The third side length is 8.
Answer:
8
Step-by-step explanation:
HELP ME Look at the photo,
Answer:
I believe... x=12
Step-by-step explanation:
5x = 4x + 12
5x - 4x = x
therefore, x = 12
hope this helps :)
Solve and graph and plot this on the line
3. Kim's farm is 1.292 acres. Jack's
farm is 1,104 acres. Which is the
best estimate of the difference
in size between Kim's farm and
Jack's farm?
A 400 acres
B 200 acres
B
C100 acres
D90 acres
Answer:
d 90
Step-by-step explanation:
hope this helped you
Answer:
B. 200 acres
Step-by-step explanation:
Create an estimate by rounding the size of each of their farms to the nearest hundred.
Kim's farm is approximately 1,300 acres, since 292 is closest to 300.
Jack's farm is approximately 1,100 acres, since 104 is closest to 100.
Using these estimates, find the difference between them:
1,300 - 1,100
= 200
So, the best estimate of the size difference is B. 200 acres
What is the slope of the line that passes through the points (3, 2) and (−1,2)? Write your answer in the simplest form
Answer:
slope = 0
Step-by-step explanation:
To find the slope of a line that passes between a pair of points, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the points (3,2) and (-1,2) into the formula and simplify:
[tex]m = \frac{(2)-(2)}{(-1)-(3)} \\m = \frac{2-2}{1-3} \\m = \frac{0}{-2} \\m=0[/tex]
So, the slope is 0.
A survey of 500 randomly selected people who commute to Manhattan for work showed that
187 of them used public transportation. An estimated 108,000 people commute to Manhattan
every workday.
1. How many commuters use public transportation?
Answer:
187
Step-by-step explanation:
Jim and Dianna want to save for their child's college expenses. They find an annuity that pays 6% annual interest,
compounded monthly. If they invest in this annuity by contributing $300 per month for 10 years, how much money will they
have for the college expenses?
Round your answer to the nearest hundred dollars.
Do NOT round until you have calculated the final answer.
Answer:
49200
Step-by-step explanation:
Walmart sells a 6oz bottle of laundry
detergent for $4.80. What is the priceper ounce?
A. $0.80
B. $0.08
C. $8
D. $0.88
Answer:
.80
Step-by-step explanation:
The following diagram describes the number of museums in beach is visited by the Santos family while on vacation.
C is the correct answer
Question 2 of 37
Suppose that F(x) =3/x and G(X) 3/x-10Which statement best compares
the graphs of F(x) and G(x)?
Answer:
F(x) = x^3 and G(x) = (4x)^3 − 5
so
G(x) = F(4x) -5
the visual effect is
1) shrink horizontally by 1/4
2) shift down by 5
therefore
the answer is the option
D.The graph of G(x) is the graph of F(x) compressed horizontally and shifted 5 units down.
Step-by-step explanation:
Hey can someone help me measure these angles
Answer:
A is acute and B is obtuse.
Step-by-step explanation:
This is because any angle less then 90 is acute and any angle over 90 degreee is obtuse.
explain how the diagram can help find the area of a circle
Answer:
Step-by-step explanation:
This is a really famous diagram! The circle has been divided into many wedges (think slices of pizza!). The wedges have been colored alternately blue and yellow, then the wedges were rearranged to form a "rectangle" -- well, it's approximately a rectangle because the wedges have arcs (pieces of a circle) on them. See how the bottom and top edges of the rectangle look bumpy?
The area of the "rectangle" is approximately [tex]\pi r^2[/tex] . The reason is that the height of the rectangle is r , the radius of the circle. And the length of the rectangle is about [tex]\pi r[/tex] -- half the circumference of the circle. It's half because the circumference is in the bumpy parts of the wedges--half blue, half yellow.
The approximation improves as the number of wedges increases. In fact, as the number of slices (sorry, pizza again) gets larger, the length of the rectangle gets closer and closer to half the circumference. In other words, making more wedges makes the rectangle less bumpy!
Find an equation equivalent to r = 1 + 2 sin e in rectangular coordinates.
A large bakery makes cakes in two shifts: shift A and shift B. Suppose that, on average, cakes from shift A weigh
7.4 kg with a standard deviation of 0.2 kg. For shift B, the mean and standard deviation are 7.0 kg and 0.1 kg,
respectively.
Every day, the bakery takes an SRS of 25 cakes from each shift. They calculate the mean weight for each sample,
then look at the difference (A - B) between the sample means.
What are the mean and standard deviation (in kilograms) of the sampling distribution of CA - TB?
Answer:
D
Step-by-step explanation:
Khan Academy
What is greater than 0.58 and less than 0.6
Answer:
0.59 im assuming
Step-by-step explanation:
Answer:
0.6=3/5
Step-by-step explanation:
in 2007, there were 12 male social workers in springfield. this is 18 fewer than 1/2 the number of female social workers. how many female social workers were in springfield?
Answer:60 female workers
Step-by-step explanation:12+18=30
30x2=60
I have four bags of small chocolate
eggs, with each bag containing an equal
number of eggs and weighing 0.36kg
I hide the eggs in the garden
24 children search for the eggs and each
finds 3 eggs. They found all of the eggs
How much does
each egg weigh
in grams?
20 grams
Step-by-step explanation:
24× 3 = 72 eggs then convert kg to grams 0.36 × 1000 = 360 grams × 4 = 1440 grams after that 1440 ÷ 72 = 20 grams
Answer:
total number of eggs = 3×24= 72eggs
number of eggs in each bag = 72/4=18 eggs
Each egg will weigh, 0.36/18
= 0.02kg
= 0.02×1000
=20g
A circular pool has a diameter of 24 feet. What is the area of the pool to the nearest tenth
of a square foot?
a) 75.4 square feet
b) 150.8 square feet
c) 452.4 square feet
d) 1,809.6 square feet
Answer:
c) 452.4 square feet
Step-by-step explanation:
HOPE THIS HELPS, MARK AS BRAINLIEST PLEASE NOT THE FILE VIRUS EXPLOITER
Which rectangular prism has a surface area of 56 square units? [Note: Art is not drawn to scale.]
A rectangular prism with a length of 5, width of 3, and height of 1.
A rectangular prism with a length of 2, width of 2, and height of 6.
A rectangular prism with a length of 5, width of 3, and height of 2.
A rectangular prism with a length of 6, width of 2, and height of 4.
Answer:
B
Step-by-step explanation:
i took the quiz have a nice day :)
Answer:
The correct answer is B
Step-by-step explanation:
2*2=4 2*6=12 2*6=12 4+12+12 = 28 28*2=56
Please help!!
Imaginary Numbers
Answer:
A. 1
Step-by-step explanation:
its A
I need help with this noww
Answer:
B) 6/√3
Step-by-step explanation:
It’s a 30-60-90 triangle, so you take the 6 and divide it by the square root of three.
A closet is 2 feet deep , 5 feet wide , and 7 feet tall what is the valume of the closet in cubic feet , rounded to the nearest hundredth
Answer:
70 ft
Step-by-step explanation:
2x5x7=70
Name the figure below in two different ways.
Answer:
MUV
VUM
Step-by-step explanation:
add the line arrow symbol
How many diagonals does a 12-sided convex polygon have? What is the general
rule for a convex polygon with n sides?
Answer:
goodluck!
Step-by-step explanation:
well is 12 sided and has digonal so
Answer:
54
Step-by-step explanation:
No of diagonals in a n sided polygon
[tex]= \frac{n(n-3)}{2} [/tex]
Therefore,
No of diagonals in a 12 sided polygon
[tex]= \frac{12(12-3)}{2} [/tex]
[tex]= 6\times 9[/tex]
[tex]= 54[/tex]
Centerville Middle School spends $13 for every workbook it buys. At most how many
workbooks can Centerville Middle School buy if it has $26 to spend?
Answer:
2
Step-by-step explanation:
13*2=26
Keisha’s basketball game started at 3:30 and ended at 4:47. How much time elapsed during the game?
Answer:
1 hour and 17 min
Step-by-step explanation:
it takes 30 min to get to 4 the another 30 min to get to 4:30 then 17 min to get to 4:47