Answer:
$1.05
Step-by-step explanation:
Find the unit price by dividing $0.75 by 5.
$0.75/5 = $0.15
Now find the price of 7 pencils by multiplying 7 and the unit price of $0.15.
$0.15 x 7 = $1.05
In january, desmond begins saving $25 per month for a used car. each month, he is able to save $5 more than the previous month. after how many months will desmond first have enough money to purchase a $3,000 used car? 14 21 31 35
Answer:
After 31 months, Desmond first have enough money to purchase a used car.
Step-by-step explanation:
Since we have given that
Saving per month for a used car = $25
Each month he is able to save = $5 more than the previous month
If we have $3000 to purchase a used car.
So, we need to find the number of months Desmond to have enough money.
Our sequence will be
25,30,35,..............3000
So, it becomes,
Months can't be negative, So,
n = 31 months.
Hence, After 31 months, Desmond first have enough money to purchase a used car.
Answer:
C. 31
Step-by-step explanation:
Complete the standard form equation representing the quadratic relationship displayed above, where a, b, and c are constants.
Suppose there is a simple index of two stocks, stock A and stock B. Stock A opens on Monday with 10,000 shares at $5.50 per share. Stock B opens on Monday with 8000 shares at $6.25 per share. Stock A opens on Tuesday at $5.80 per share, and stock B opens on Tuesday at $6.65 per share. Both stocks have the same number of shares that they opened with on Monday. What is the rate of change of this simple index over 1 day?
A. 5.6%
B. 5.9%
C. -5.6%
D. -5.9%
Answer:
sorry but I do know that it is A or B hope this helps.
The rate of change of the given simple index over 1 day is -0.9%.
What is rate of change?When something has a constant rate of change, one quantity changes in relation to the other.
Given that;
Stock A opens on Monday with 10000 shares at $5.50 per share.
Stock B opens on Monday with 8000 shares at $6.25 per share.
Stock A opens on Tuesday at $5.80 per share, and stock B opens on Tuesday at $6.65 per share.
Total value of the simple index at Monday is;
= (10000×5.50) + (8000×6.25)
= 55,000 + 50,000
= 105,000
The total value of the simple index at Tuesday is;
= (10000×5.80) + (8000×6.65)
= 58,000 + 53,200
= 111,200
The rate of change of this simple index over 1 day is;
= (111,200-105,000)/(10000-8000) -1
= 6,200/2000 - 1
= 3.1 - 1
= 2.1
Hence, the rate of change of the given simple index over 1 day is -0.9%.
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A diner is serving a special lunch combo meal that includes a drink, a main dish, and a side. Customers can choose among 5 drinks, 4 main dishes, and 5 sides. How many different combo meals are possible? Select from the drop-down menu to correctly complete the statement Customers can create Choose... different lunch combo meals. 4 A 1 2 3 4 5. oc 9
Since the customers can choose among 5 drinks, 4 main dishes, and 5 sides. there 100 different combo meals are possible.
Since order is not important we use combination to solve the problem
What is combination?This is the number of ways in which x objects can be selected out of n objects. It is given mathematically as ⁿCₓ = n!/x!(n - x)!
The number of different combo mealsNow, given that the customer can choose among 5 drinks, 4 main dishes, and 5 sides.
There are ⁵C₁ ways of choosing the drinks.
So, ⁵C₁ = 5!/1!(5 - 1)!
= 5!/1!/4!
= 5
There are ⁴C₁ ways of choosing the main dishes.
So, ⁴C₁ = 4!/1!(4 - 1)!
= 4!/1!/3!
= 4
There are ⁵C₁ ways of choosing the sides.
So, ⁵C₁ = 5!/1!(5 - 1)!
= 5!/1!/4!
= 5
So, total number of ways of choosing the combo meals is
⁵C₁ × ⁴C₁ × ⁵C₁ = 5 × 4 × 5
= 100 ways.
So, there 100 different combo meals are possible.
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Answer: The answer is 100
Step-by-step explanation:
Anybody want to help with math? Pls hurry, I’ll give brainiest and everything.
Find the missing number in the ratio table below.
11 22 33 44
9 18 27 ?
A: 38
B: 36
C: 35
D: 37
Answer:
B
Step-by-step explanation:
You are going to add 9 to 27 because you are counting by nines on the bottom.
Use the given scale and determine the actual straight -line distance between East London and Bloemfontein
Answer:
Driving Distance : 569 KM and 398 meters / 353.8 miles.
Straight Line Distance : 467 KM and 700 meters / 290.6 miles.
Travel time : 11 hours and 19 minutes.
Direction and bearing : South side, 159 degree.
Step-by-step explanation:
Ruth ann wants to research two different careers, medical doctor and astronaut. what is a good first step ruth ann could take? if she went to a bookstore to research her careers, which section would she search?
Ruth can visit US Bureau of Labor Statistics website so that she could know more about those careers.
What is a career?career can be regarded as a profession that individuals choose to follow in his lifetime and this his occupation.
Therefore, in choosing a career , one needs to equip himself with information about it, he can visit Bureau of Labor Statistics.
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Answer:
visit the US. Bureau of Labor Statistics website to find information on both careers and the career section
Step-by-step explanation: well i know it right because i just answered it correct
Can anyone help me with this quick question please, ASAP, Thank You!
Answer:
15.7 lbs (please mark brainliest)
Step-by-step explanation:
2.6+x+x=34
2x=31.4
x=15.7
Answer: 14.4
Step-by-step explanation: I took 34 and divided it by 2 then subtracted 2.6 from 17 which gave me 14.4. If it's wrong, sorry.
Simplify: √645³
O 872
O 84
O 3272
O 324
Answer:
√645^3=16,380.9. Mathematically correct
4 people are going to a dinner party. Each person at the party will eat 5/6 pound of salad but you can only buy in pounds.If you can only buy whole pounds of salad, how many pounds should you buy?
Find the mean of the data: 125, 15, 30, 110, 70
Answer:
The mean of the data is 70
Step-by-step explanation:
Hope this helps you! :D
Answer:
70
Step-by-step explanation:
Mean-
Add all the numbers to the total = 350
Divide by the amount of numbers (125, 15, 30, 110,70 = 5 numbers)
350/5 = 70
exponential function question
Answer: [tex]y = 850(0.943)^t[/tex]
Reason:
The exponential of the form [tex]y = a*b^x[/tex] has 'a' as the initial term and b as the growth or decay factor.
a = 850 is the starting amount
b = 1 + r = 1 + (-0.057) = 0.943 is the decay factor
If the sample loses 5.7% of its mass each year, then it keeps the remaining 94.3% of it.
What is the answer??
Answer:
5 given as -1 and 8 positive 8 cross by axis
Simplify the fraction
help me pls!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
d. 0.771.
Step-by-step explanation:
This probability is equal to the area other than the green triangle divided by the total area of backyard.
Total area = 120^2 = 14400
Area of green triangle = 1/2 * 120 * 55 = 3300
So area of the part of yard not covered by the triangle = 14400 - 3300
and the required probability = (14400 - 3300) / 14400
= 0.771.
Answer:
d. 0.771
Step-by-step explanation:
What is probability?
Probability is the likelihood of the occurrence of something.
In simpler terms we can say probability = # of favorable outcomes / total # of outcomes.
Understanding the question
Here we have a square and a triangle inside of the square and we want to find the probability that a tennis ball thrown inside of the square will not land inside of the triangle.
So we have # of favorable outcomes as the area of the outside of the triangle but inside of the square ( so area of square - area of triangle ) and we have total # of outcomes as the total area of the square including the triangle
Finding the areas
Area of square
Area of square = (side length)²
the square shown has a given side length of 120ft
So area = 120² = 120 × 120 = 14400
Area of triangle
Area of a triangle = (base length × height) / 2
Here the base length is shared with the side length of the square menaing the base length of the triangle = 120 and the given height of the triangle is 55 feet
So area would = ( 120 × 55 ) / 2 = 3300
Finding the probability
Again we want to find the probability that a ball thrown in the square will not land in the triangle
This can be calculated using the probability formula we created earlier
probability = ( area of square - area of triangle ) / area of square
we have area of square = 14400 and area of triangle = 3300
so probability = (14400 - 3300) / 14400
==> subtract 3300 from 14400
probability = 11100 / 14400 = 0.771 ( rounded )
And we are done!
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Given the function f(x) = 8x-1, what is the corresponding value when x = -1?
(please help will give brainlyest)
enter the lowest whole number in the numerator to make the comparison ?/7 > 1/2 true.
14/7 is greater than 1/2
Sure hope this helps you
Four types of soda are served at a birthday party. in an icebox containing a large number of cans of soda, 20% are ambrase, 30% are butonic, 15% are colana, and 35% are dynamite. a party guest randomly chooses four cans of soda. calculate the probability that the guest chooses one of each type of soda.
The probability that the guest chooses one of each type of soda will be 8.03%.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
Four types of soda are served at a birthday party. in an icebox containing a large number of cans of soda, 20% are Ambrase, 30% are Butonic, 15% are Colana, and 35% are Dynamite.
A party guest randomly chooses four cans of soda.
Then the probability that the guest chooses one of each type of soda will be
Let the total number of the soda can will be 100. Then we have
Ambrase = 20
Butonic = 30
Colana = 15
Dynamite = 35
[tex]\rm P = \dfrac{^{20}C_1 \times ^{30}C_1\times ^{15}C_1\times ^{35}C_1}{^{100}C_4}\\\\\\P =\dfrac{20 \times 30 \times 15 \times 35}{3921225}\\\\\\P = \dfrac{600}{7469}\\\\\\P = 0.08033\\\\\\P = 8.03\%[/tex]
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Last month, Korey’s Comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850. Calculate Korey’s net profit margin. a. 42.5% b. 55.7% c. 76.3% d. 179.5%
b. 55.722
Step-by-step explanation:
1850/3320
I assume that you know what the question is asking to solve for.
The net profit margin for Korey's Comics is 42.5%.
Option A is the correct answer.
What is a profit?Profit is the difference between the selling price and the cost price.
We have,
Net profit margin is calculated by dividing net income by net sales and multiplying the result by 100 to get a percentage.
Net Profit Margin = (Net Income / Net Sales) x 100%
Substituting the given values.
Net Profit Margin = (1,850 / 4,350) x 100%
Net Profit Margin = 0.425 x 100%
Net Profit Margin = 42.5%
Therefore,
The net profit margin for Korey's Comics is 42.5%.
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The owner of a sports complex wants to carpet a hallway connecting two buildings. The carpet costs $2.50 per square foot. How much does it cost to carpet the hallway?
If the area of the carpet will be 301 square feet. Then the cost of the carpet will be $ 752.5.
What is a trapezium?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.
The owner of a sports complex wants to carpet a hallway connecting two buildings.
The diagram is given below.
The carpet costs $2.50 per square foot.
The area of the carpet will be given by the area of the trapezium.
Area = 1/2 (24 + 28) x 7 + 1/2 (15 + 19) x 7
Area = 0.5 x 52 x 7 + 0.5 x 34 x 7
Area = 182 + 119
Area = 301 square feet
Then the cost of the carpet will be
Cost of carpet = $ 2.5 x 301
Cost of carpet = $752.5
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Write a system of inequalities using the given graph
Take two points
(-2,1)(0,-3)Slope
m=-3-1/0+2=-4/2=-2Parallel lines so slopes are equal
Only y intercept will vary
So both lines have y intercept at -3 and -1 respectively
The equations
y=-2x-3y=-2x-1Put (0,0) on first one
0>-3On second one
0>-1So as lines are dashed symbols remain >
The inequalities are
y>-2x-3y>-2x-1Simplify 85.84
O A. 820
O B. 169
O C. 89
O D. 649
Step-by-step explanation:
it seams like this question is wrong
What is the value of x in the image below?
Answer:
a
Step-by-step explanation:
What is the surface area of the triangular prism shown?
Answer:
The first step that we are going to do is to solve the area of the top rectangle. We are given a width of 15 cm and a length of 25 cm so we can just multiply them against each other to get the area.
[tex]Area = l * w[/tex]
[tex]Area = 25\ cm * 15\ cm[/tex]
[tex]Area = 375\ cm^2[/tex]
The second side that we are going to solve for is the bottom rectangle. We are given a width of 12 cm and a length of 25 cm so lets just multiply them against each other to get the area.
[tex]Area = l * w[/tex]
[tex]Area = 25\ cm * 12\ cm[/tex]
[tex]Area = 300\ cm^2[/tex]
The next area that we are going to determine is the back rectangle which has a width of 9 cm and a length of 25 cm so lets just multiply them against each other to get the area.
[tex]Area = l * w[/tex]
[tex]Area = 25\ cm * 9\ cm[/tex]
[tex]Area = 225\ cm^2[/tex]
The final area that we have to determine are the side triangles. After determining the area of one triangle we will have to multiply it by 2 to get the area for both of the triangles. We are given a base of 12 cm and a height of 9 cm so lets just use the formula to find the area.
[tex]Area = \frac{1}{2}* b*h[/tex]
[tex]Area = \frac{1}{2}* 12\ cm*9\ cm[/tex]
[tex]Area = 54\ cm^2[/tex]
Multiply it by two to get the area for both of the triangles.
[tex]Area = 54\ cm^2 * 2[/tex]
[tex]Area = 108\ cm^2[/tex]
Finally, we are onto the last part which is to add up all of the areas and get the surface area after we combine everything.
[tex]Area_{total}=375\ cm^2 + 300\ cm^2 + 225\ cm^2 + 108\ cm^2[/tex]
[tex]Area_{total}=1008\ cm^2[/tex]
Therefore, our final answer is option B, 1008 [tex]cm^2[/tex]
Hope this helps!
A) The function f is defined by : f(x) = x2+ax+b
a and b are constants.
It is known that: f(0) = 7 and f(-2) = 17
Find the values of a and b.
B) Use the values of a and b to solve this equation: f(x) = 35
x = __ or x = __?
Answer:
A. a = -3 and b = 7.
B. x = -4 or x = 7.
Step-by-step explanation:
A)
f(0) = 0^2 + a(0) + b = 7
So b = 7.
f(-2) = (-2)^2- 2a + 7 = 17
4 - 2a = 17 - 7
4 - 2a = 10
-2a = 10 - 4 = 6
-2a = 6/-2
a = -3.
B)
Substituting a = -3 and b = 7 we get:-
x^2 - 3x + 7 = 35
x^2 - 3x - 28 = 0
(x - 7)(x + 4) = 0
x - 7 = 0 or x + 4 = 0
x = -4 or x = 7.
Which one 3, 4, 6, or 7
Answer:
i think that it is 6
Step-by-step explanation:
hope this helps
Please give me Brainlist
I need help asap please
When Digitalis knows that it'll sell many of the processors, it's expected to make money since there's a higher probability that it's not defective.
How to illustrate the probability?Since the processor is sold for $3300 and a profit of $429 is made, the selling price will be:
= $3300 - $429
= $2871
In this case, there's a 13% chance that it's defective and 87% that's it's not defective. Therefore, it's expected to make money since there's a higher probability that it's not defective.
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Simplify this expression
(15+8d)(-5)-24d+d
Solve step by step
If h = 3.5u, what is the value of h when u = 17?
Give any decimal answers to 1 d.p.
Put u=17
h=3.5(17)h=51+8.5h=59.5Answer:
59.5.
Step-by-step explanation:
h = 3.5u
When u = 17,
h = 3.5*17
= 59.5
How do you convert fractions into decimals?
And the other way around?
→ The formula to convert a fraction to a decimal is ( "a ÷ b" ) .
→ where ( a ) is the NUMERATOR and ( b ) is the DENOMINATOR of the fraction .
The fraction to decimal formula states that:
• you just need to divide the numerator by denominator to get the decimal equivalent of the fraction ..
For example:• convert 25/100 to decimal ?
→ Just divide 25 by 100 = 0.25
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Step-by-step explanation:
to convert a fraction to decimal ,well just divide numerator ....by the denominator
we 'll divide 1 by 4.1 divided by 4 equal to zero to keep dividing we ' ll add a decimal point and a zero after 1.