The residents of a downtown apartment building are starting a rooftop garden. They will plant 4 beds of vegetables for every 1 bed of flowers, plus have 5 extra beds of vegetables. They plan to plant
a total of 30 garden beds. In the system of equations shown, v is the number of vegetable beds and f is the number of flower beds.
v=4f +5
v+f= 30
How many vegetable beds and how many flower beds will be in the rooftop garden?
Answer:
89
Step-by-step explanation:
You have just inherited $150,261 from a trust that has matured. you would like to invest the total amount into an account that pays you an annual compounded interest rate of 9.1%, and you would like to make annual withdrawals over the next 20 years such that by the end of this 20 year period, the amount remaining in the account will be zero dollars. determine, from the given information, the amount of the annual withdrawals. round to the nearest cent. a. $16,578.03 c. $15,978.10 b. $162,851.31 d. $15,575.98
The amount of the annual withdrawals will be $16,574.24.The amount is the sum of the principal and the simple interest gain.
What is the amount?The complete repayment of money at the end of the time period for which it was borrowed is referred to as the amount.
The given data in the problem is;
P ia the annual payment
PV is the present value = $150,261
r is the rate of intreast = 9.1% = 0.091
n is the time period= 20
The formula for the annual payment is found as;
[tex]\rm P= \frac{r \times PV}{1-(1+r)^{-n}} \\\\ \rm P= \frac{0.091 \times 150261}{1-(1+0.091)^{-20}} \\\\ \rm P=16,754.2437[/tex]
Hence the amount of the annual withdrawals will be $16,574.24.
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i REALLy WanT sOme HeLp
Jack brought 3 slices of cheese pizza and 4 slices of mushroom pizza for a total cost of $12.50. Grace bought 3 slices of cheese pizza and 2 slices of cheese pizza and 2 slices of mushroom pizza for a total cost of $8.50.
What is the cost of this one slice of mushroom pizza?
O $1.50
O $3.00
O $3.50
O $2.00
Answer:
$4.25
Step-by-step explanation:
Simple, 12.50 divided by four is 4.25. Meaning the answer is $4.25.
What is an estimate of 37.9% of 192.3?
A 57
B 02
C 80
D 100
Answer:
C.80
Step-by-step explanation:
37.9% of 192.3
=37.9/100 × 192.3
=0.379×192.3
=72.8817
≈80 (possible answer)
Help will give brainleiest
Answer:
40" by 50"
Step-by-step explanation:
From inspection of the diagram,
height of 2 squares of the quilt ≈ height of doll plus a little bit
⇒ height of 2 squares of the quilt ≈ 18 + 2 = 20 in
⇒ height of 1 square of the quilt ≈ 20 ÷ 2 = 10 in
As the height of a square = width of a square
⇒ width of 1 square of the quilt ≈ 10 in
Dimensions of the quilt
width = 4 squares = 4 × 10 = 40 in
height = 5 squares = 5 × 10 = 50 in
Ratios
We can also work out the width and height by using ratios.
The ratio of width to height of the quilt = 4 squares : 5 squares
If we multiply by 10, the ratio becomes 40 : 50
Final Solution
40" by 50"
3x2 + 6x = 12 (using quadratic formula)
Complete Steps 1 - 2 in order. Triangle ABC has an area of 25 square feet and a perimeter of 5 65.5 feet. AABC is dilated by a factor of to create 2 ADEE. X 10.
Answer:
163.75
Step-by-step explanation:
a scale factor applies normally to lengths (one-dimensional sizes).
and the perimeter is calculated just by lengths (the side lengths).
so, we can apply the scaling factor directly to the perimeter.
perimeter of DEF = 5/2 × perimeter of ABC = 5/2 × 65.5 =
= 163.75 ft
what was step 1 ? we did not need it ?
Could the following side lengths make a right triangle?
28, 53, 45
Answer:
no. the triangle would be acute
Step-by-step explanation:
[tex]a^2 +b^2=c^2[/tex] ← formula for right triangle
↓
[tex]28^2+53^2=45^2[/tex]?
↓
[tex]28^2=784\\53^2=2809\\45^2=2025[/tex]
↓
[tex]784+2809=3,593[/tex]
↓
[tex]3,593 > 2025\\a^2 +b^2 > c^2[/tex]
which means the triangle is acute, not right.
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!
Stay Brainy!
−Kallmekrish
Scientists developed a maze for rats that has 555 compartments, and each compartment had a different food. In each trial, scientists would record which compartment the rat went to first. They were curious if the rats favored some compartments more than others. Here are the results from 1000 trials.
The expected count that can be deduced from the arrivals to the second compartment will be 200.
How to calculate the expected count?It should be noted that in order to perform a goodness of fit test, the expected number of rats that are in each compartment will be gotten.
Therefore, the expected number of rats that will be in the second compartment will be:
= 1/5 × 1000
= 200
In conclusion, the correct option is 200.
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WHO IS GOOD AT MATH AND CAN HELP ME WITH 20 QUESTIONS
The rectangular prisms shown are packed with unit cubes. Match the rectangular prisms that have the same volume.
Answer:
Step-by-step explanation:
In order to find which prisms have the same, we use the formula:
A = L x W x H (Area = Length x Width x Height)
So, count the individual squares on each side, multiply them, and that is the area. Then, find which ones are the same:
Cube 1: A = 4 x 4 x 3 = 48
Cube 2: A = 6 x 4 x 2 = 48
Cube 3: A = 4 x 3 x 3 = 36
Cube 4: A = 8 x 2 x 2 = 32
Cube 5: A = 4 x 2 x 4 = 32
Cube 6: A = 6 x 2 x 3 = 36
So, Cube 1 and Cube 2 are the same with 48.
Cube 3 and Cube 6 are the same with 36.
Cube 4 and Cube 5 are the same with 32.
:)
Answer: 1 and 2, 4 and 5, and 3 and 6.
Step-by-step explanation: To find the volume of a rectangular prism, you multiply the length, width, and height to get the volume. The volumes for each cube is in the order of top left and continue until the bottom right.
48 cubic units.48 cubic units.36 cubic units.32 cubic units.32 cubic units.36 cubic units.From there, you can match them, and then your answer is complete.
Let me know if this is right! :)
Which property can be used to solve the equation?
5 d = 75
addition property of equality
subtraction property of equality
multiplication property of equality
division property of equality
Answer:
Division property of equality
Step-by-step explanation:
If you have an equation with the variable not equal to one you want it to equal one so you would divide to get the variable to 1 so 5/5 and then you would do the same to the other side(75/5) d=15.
Answer:Division property of equality
Step-by-step explanation:If you have an equation with the variable not equal to one you want it to equal one so you would divide to get the variable to 1 so 5/5 and then you would do the same to the other side(75/5) d=15.
I need actual help on this.
Answer:
the average rate of change is D. -4
What is 125x to the 3rd power +343y to the 3rd power
Answer: 125 to the power of 3 = 1253 = 1,953,125
Can someone help me on this question? I Just need help with the 3rd question. Use the word bank below to answer. I’ll mark you brainliest if you answer soon!!!
Answer:
Transitive property
Step-by-step explanation:
I'm so sorry if it's wrong I took geo last year online and I still hated proofs. Transitive property is basically when x=y, y=z so x=z. since <4 and <5 are congruent and <1 and <4 are congruent, that would make <1 and <5 congruent because of the transitive property. Good luck with proofs!
What is the area of a sector with a central angle of 10π7 radians and a radius of 18. 4 m? Use 3. 14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box. M².
The area of the sector of the circle will be 759.34 m². It is the amount of area enclosed inside the sector's perimeter.
What is an area of the sector?The area of a circle's sector is the amount of space encompassed inside the sector's perimeter. The origin of a sector is always the circle's center.
The region of a circle encompassed by its two radii and the arc connecting them is known as the sector of a circle.
The given data in the problem is;
[tex]\rm \theta[/tex] is the central angle=[tex]\frac{10\pi}{7}[/tex]= 4.485
r is the radius = 18.4 m
The area of a sector of a circle is found as;
[tex]\rm A= \frac{\theta}{2} \pi r^2 \\\\ \rm A= \frac{4.485}{2} \times (18.4)^2 \\\\ \rm A=759.34 \ m^2[/tex]
Hence the area of the sector of the circle will be 759.34 m².
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Katie took a plane to visit her grandparents for the summer. at the airport, she paid to check 3 bags. since all of her bags were over the weight limit, she had to pay an additional $6 fee for each bag. katie paid a total of $102 to check her bags.
which equation can you use to find the amount of money, x, it costs to check a bag that's under the weight limit?
Answer:
it costs $26 to check a bag that's under the weight limit
Step-by-step explanation:
she had to pay an additional $6 fee for each of the 3 bags.($18 in total)
x= each bag
3x +18 = 102
3x=84
x=26
Answer:It costs $28 for a bag that is under the weight limit.
Step-by-step explanation:
3(x+6) = 102
3x+ 18 = 1023x+18=102
3x = 843x=84
x = 28x=28
Rq I’ll brainlist.
Simplify 4kp x k ???
Hello!
We have
4kp×k
Multiply 4 times k times k times p:
4k²p
k² = k times k (k times itself)
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
[tex]\boxed{An~Emotional~Helper~here~}[/tex]
Fill in the table and graph the parametric equation
Answer:
Shown above
Step-by-step explanation:
Sorry for my untidy handwriting
The point I(–4, –1) is rotated 90 counter-clockwise about the origin. What is the image of I?
a. I(4, –1)
b. I(–1, –4)
c. I(1, –4)
d. I(4, 1)
Answer:
I(1, -4)
Step-by-step explanation:
(-4, -1) is in Quadrant 3 where x and y are negative
when it's rotated 90 ccw it will become in Quadrant 4 where x is positive and y is negative
and also the values of x and y switches
so the answer will be I(1, -4)
what fraction gives you an answer of 11/12
Hi there! The fraction that gives you 11/12 is 44/ 48.
---
Hope this helps you!
If the cost of a dozen pencil is ₹ 159.48, what will be the cost of 24 such pencil?
Answer:
₹ 318.96.
Step-by-step explanation:
24/12 = 2 , so twice as much;
159.48 * 2 = 318.96
A bag contains 6 different colored chips. If 2 chips are selected at random, how many different combinations of colors are
possible?
Answer:
I think the answer is 4 or am I wrong please I don't understand
8 times what equals 64
Answer:
8
Step-by-step explanation:
The required, following the given condition of the equation model, 8 times 8 equals 64.
We start with the equation 8x = 64, where x represents the unknown value we're trying to find. The equation states that when we multiply 8 by x, the result is 64.
To solve for x, we want to isolate it on one side of the equation. In this case, we can achieve this by dividing both sides of the equation by 8. Dividing both sides by 8 gives us:
8x = 64
(8x) / 8 = 64 / 8
Simplifying, we have:
x = 8
Therefore, 8 times 8 equals 64.
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PLS ANSWER IT I just need the answer
The y-intercept is (0,2)
you can find the y-intercept by finding the value of y when x = 0The slope is -5/2.
you can find the slope by using the equation below and any two points on the line, such as (0,2) and (2,-3)[tex]\frac{y2-y1}{x2-x1}=\frac{-3-2}{2-0} =\frac{-5}{2}[/tex]
Hope that helps!
Identify potential solutions of the inequality 3x + 4 < 13. Select all that apply.
Answer:
3x+4<13
3x+4-4<13-4(3x<9) divide both sides by 33x/3< 9/3x < 3- Halalna wrote lile
47 X 31 = 1,457
1,457 · 47 =
What is the quotient in Halaina's
problem?
A 47
B 31
с 30
D 25
Answer:
A quotient is the number we get when we divide one number by another.
for example
8 ÷ 4 = 2. In this case, the number 2 will be the quotient since it is the result we got when we divided 8 and 4.
I'm going to assume that "1,457 . 47 =" was meant to have a division sign, if that is the case then the answer is B 31.
Math riddle where do you put smart hot dogs
no links and will give brainliest
Q: Where do you put a smart hot dog? A: On the honor roll.
The solution is, the final answer is 78.
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
here, we have,
The parts of the final expression are ...
6 walker = 150
walker = 150/6 = 25
yoda^4 = 81
yoda = 81^(1/4) = 3
2 Rtwo +100 = 120
Rtwo = (120 -100)/2 = 10
luke + yoda × Rtwo + walker × Rtwo = 285
luke + 3×10 + 25×10 = 285
luke = 285 -280 = 5
And the grand finale:
luke ^ yoda - Rtwo(walker / luke) + yoda
= 5^3 -10(25/5) +3 = 125 -50 +3
= 78
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Complete question:
May the fourth be with you math riddle.
picture is attached.
You invest $600 in an account that has a annual interest rate of 7%, compounded quarterly for four years. What is the equivalent interest rate, and how many times will the money be compounded?
1.75% and 1 time
5.7% and 4 times
1.75% and 16 times
5.7% and 16 times
Answer:
1.75% and 16 times
Step-by-step explanation:
Compound interest formula:
[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]
where:
A = final amountP = initial principal balancer = annual interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periodsGiven:
P = $600r = 7% = 0.07n = 4t = 4Substituting given values into the formula:
[tex]\sf \implies A=600(1+\frac{0.07}{4})^{4 \times4}[/tex]
[tex]\sf =791.9576107...[/tex]
Equivalent interest rate:
[tex]\sf \implies \dfrac{r}{n}= \dfrac{0.07}{4}=0.0175=1.75 \%[/tex]
Number of times compounded:
[tex]\sf \implies nt=4 \times 4=16[/tex]
A candy bar box is in the shape of a triangular prism. The volume of the box is 2,400 cubic centimeters.
A triangular prism is shown with base of triangle labeled 16 cm, sides of triangles labeled 17 cm, and length of the box equal to 20 cm.
Part A: What is the height of the base? Show your work. (5 points)
Part B: What is the approximate amount of cardboard used to make the candy box? Explain how you got your answer. (5 points)
Answer: the answer is 1000cm2.
The volume of a triangular prism shaped box is 2,400 cubic centimeters.
Base of the triangle = 16cm
Sides of the triangle = 17cm
Length of the box = 20cm
Triangular prismA triangular prism is a three-sided prism made of a triangular base and a corresponding side.
A. To find the height of the base = 3 x the volume divided by the base area = 15cm. B. The approximate amount of card board used to make the candy box:Using the lateral prism as the sides will be:Lateral area = Perimeter of triangle X height of the prism
Lateral area = (16 + 17 + 17) X 20
Lateral area = 50 X 20
Lateral area = 1,000 cm2
Therefore, the answer is 1000cm2.
It's Eva's turn to bring the halftime snacks for her soccer team. She helps her dad cut up
oranges and wash grapes, and they load everything into a cooler shaped like a rectangular
prism. The cooler is 22.5 inches long, 12 inches wide, and has a volume of 4,320 cubic
inches.
How tall is the cooler?
Write your answer as a whole number or decimal. Do not round.
Answer:
Volume = a.b.c = k^3
Step-by-step explanation:
Volume = a * 22.5 * 12 = 4320
a = 16 inches