Answers
Answer:
15,200 ft^2
Step-by-step explanation:
The shape of the playground can be thought of as two rectangles.
The rectangle on the left side measures 2.5 inches by 3 inches.
The rectangle on the right side has a width of 1 inch. The length along the bottom side measures 4.5 inches - 2.5 inches = 2 inches
total area = LW + lw
total area = 3 in. * 2.5 in. + 2 in. * 1 in.
total area = 7.5 in. + 2 in.
total area= 9.5 in.^2
Now we need to convert to the actual area from the scale drawing area.
1 in. = 40 ft
9.5 in.^2 * (40 ft / in.) * (40 ft / in.) = 15,200 ft^2
Answer: 15,200 ft^2
Related Questions
2. Nick and Adam workout together. Nick weighs
160 pounds and is gaining about 3 pounds per
week. Adam weighs 195 pounds and is los ng
about 2 pounds each week. Write an equation
that can be used to find the number of weeks
that it will take them to weigh the same amount.
a. Equation:
b. Solution:
c. How much will Nick and Adam weigh?
Answers
Answer:
Equation: 160 + 3x = 195 - 2x
Solution: 7 weeks
Step-by-step explanation:
x is going to stand for the number of weeks
Nick:
160 + 3x
Adam:
195 - 2x
Equation: 160 + 3x = 195 - 2x
Solution: 7
They would weigh 181 pounds
The equation to find when Nick and Adam will weigh the same amount is
160 + 3w = 195 - 2w
It will take 7 weeks for Nick and Adam to weigh the same amount.
After 7 weeks, Nick and Adam will both weigh 181 pounds.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
a.
Let w be the number of weeks, then the equation to find when Nick and Adam will weigh the same amount is:
160 + 3w = 195 - 2w
b.
To solve for w, we can simplify the equation:
160 + 3w = 195 - 2w
5w = 35
w = 7
c.
To find how much Nick and Adam will weigh after 7 weeks, we can plug w = 7 into either of the original equations:
Nick's weight = 160 + 3w = 160 + 3(7) = 181 pounds
Adam's weight = 195 - 2w = 195 - 2(7) = 181 pounds
Thus,
The equation to find when Nick and Adam will weigh the same amount is
160 + 3w = 195 - 2w
It will take 7 weeks for Nick and Adam to weigh the same amount.
After 7 weeks, Nick and Adam will both weigh 181 pounds.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ2
2, -3, -8, -13, -18,
Answers
Answer:
Step-by-step explanation:
2, -3 , -8 , -13 , - 18 .............
This is an arithmetic sequence.
First term = a = 2
Common difference = Second term - first term
= -3 - 2 = -5
Nth term = a + (n - 1)*d
= 2 + (n - 1)*(-5)
= 2 + n*(-5) - 1 *(-5)
= 2 - 5n + 5
= 7 - 5n
n = 19,
19th term = 7 - 5*19
= 7 - 95
= - 88
n = 21,
21st term = 7 - 5*21
= 7 - 105
= -98
At the gym, Hillary swims every 6 days, runs every 4 days and cycles every 16 days. If she did all three activities today, What will be the closest day that you will do the three exercises the same day?
GCF AND LCM
Answers
Step-by-step explanation:
We need to do LCM in this case.
2_|_ 6,4,16
2 _|_ 3,2,8
_|_ 3, 1,4
It is not divisible further.
So, LCM is 2×2×3×4 = 48
So, 48 is the answer.
Hope it helps :)
[tex].[/tex]
5x + 1 = 11
What is the first step?
Answers
Answer:
subtract 1 from both sides... then divide 5 both sides
Determine the volume of the cylinder. Round to the nearest tenth in necessary
7.5in is the radius and 11in is the height.
Answers
Step-by-step explanation:
volume of cylinder πr2h
radius = 7.5in
height = 11in
volume= 22/7 x7.5 x7.5x11
= 1942.875
therefore volume =1942.875 in
The cost of 2 bottles of water and 4 apples is $5.50. The cost of 3 bottles of
water and 5 apples is $7.50. Find the cost of one apple and the cost of one
bottle of water
Answers
Answer:
The cost of one bottle of water is $1.25
The cost of one apple is $0.75
Step-by-step explanation:
Find the exact value of x.
Answers
2,304 + x^2 = 2500
2,304 - 2,304 + x^2 = 2500 - 2304 (Subtract both sides by 2,304)
x^2 = 196
x = 14
Hope this helps!
2x+y=16 y=2x what are the side lengths of the triangle?
Answers
Answer:
x = 4. y=8
Step-by-step explanation:
putting y=2x in first equation
2x+2x=16
4x=16
x=4
put x=4 in eq second
y=2*4
y=8
Find the exact area of ABC
Answers
Answer:
A = 18[tex]\sqrt{3}[/tex] sq meters
Step-by-step explanation:
find BD, can use altitute rule:
3 / BD = BD / 9
BD² = 27
BD = [tex]\sqrt{27}[/tex] = 3[tex]\sqrt{3}[/tex]
Area of ΔABC = 1/2 · (3+9) · 3[tex]\sqrt{3}[/tex]
A = 6 · 3[tex]\sqrt{3}[/tex]
Given that B is the midpoint of AC, and E is the midpoint of AD, prove △ABE and △ACD are similar.
Options:
A. 1. B is the midpoint of AC¯¯¯¯¯ and E is themidpoint of AD¯¯¯¯¯. (Given)2. AB¯¯¯¯¯≅BC¯¯¯¯¯, AE¯¯¯¯¯≅ED¯¯¯¯¯ (Def. of mdpt.)3. ACAB=ADAE (Trans. Prop. of =)4. ∠A≅∠A (Reflex. Prop. of ≅)5. ΔABE∼ΔACD (AA∼)
B. 1. B is the midpoint of AC¯¯¯¯¯ and E is themidpoint of AD¯¯¯¯¯. (Given)2. AB¯¯¯¯¯≅BC¯¯¯¯¯, AE¯¯¯¯¯≅ED¯¯¯¯¯ (Def. of mdpt.)3. ACAB=ADAE (Trans. Prop. of =)4. ∠A≅∠A (Reflex. Prop. of ≅)5. ΔABE∼ΔACD (SAS∼)
C. 1. B is the midpoint of AC¯¯¯¯¯ and E is themidpoint of AD¯¯¯¯¯. (Given)2. AB¯¯¯¯¯≅ED¯¯¯¯¯, AE¯¯¯¯¯≅BC¯¯¯¯¯ (Def. of mdpt.)3. ACAB=ADAE (Trans. Prop. of =)4. ∠A≅∠A (Trans. Prop. of =)5. ΔABE∼ΔACD (AA∼)
D. 1. B is the midpoint of AC¯¯¯¯¯ and E is themidpoint of AD¯¯¯¯¯. (Given)2. AB¯¯¯¯¯≅ED¯¯¯¯¯, AE¯¯¯¯¯≅BC¯¯¯¯¯ (Def. of mdpt.)3. ACAB=AEAD (Reflex. Prop. of ≅)4. ∠A≅∠A (Trans. Prop. of =)5. ΔABE∼ΔACD (SAS∼)
Answers
Answer: B
Step by Step explanation:
1. Solve the following expression if b=8. 10 b2(2=squared)
Answers
Answer:
640
Step-by-step explanation:
In order of operations, do exponents before multiplying.
8 squared= 64
64 x 10=640
using the graph as your guide
Answers
Answer:
C
Step-by-step explanation:
The discriminant informs us about the nature of the zeros
• If b² - 4ac > 0 then 2 real and distinct zeros
• If b² - 4ac = 0 the 2 real and equal zeros
• If b² - 4ac < 0 then zeros are not real
The graph crosses the x- axis at 2 distinct zeros, then
b² - 4ac > 0 , that is positive → C
what is a way that i can get 3x and 2x to cancel out in this problem? i need to get - 5y = -13 and + 15y = -3 alone.
problem:
3x + 5y = -13
2x + 15y= 3
Answers
Answer:
For 3x + 5y = -13 the answer is x= -13/3 + 5y/3
and for 2x + 15y=3 the answer x= 1.5 + (-15y/2)
Step-by-step:
For 3x+5y=-13 you have to add 5y on both sides. Then you have to divide by 3 on both sides and cancel out the common factor of 3. Then you would get x= 13/3 + 5y/3.
For 2x + 15y=3 you have to subtract 15y on both sides of the equation. You should have 2x=3 + (-15y). Then divide by 2 on both sides. 3 divided by 2 is 1.5 and -15y divided by 2 is -15y/2 since 2 doesn't have the same variable. so the answer should be x= 1.5 + (-15y/2).
10x + 4y = 20
13x - 4y = -66
What does x and y equal?
Answers
Answer: (-2, 10)
Explanation: Since one equation has a +4y and the other equation has
a -4y, when we add the equations together, the y's will cancel out.
So we have 23x = -46 and x = -2.
To find y, plug -2 back in for x in either of the two original equations.
I've chosen to plug -2 into the first equation to get 10(-2) + 4y = 20.
Solving from here, y = 10.
So our final answer is the ordered pair (-2, 10).
Now, check your answer.
and
y = 10
because of how u solve it
About 35% of all U.S. households have a cellular phone. If you called 7 households to inquire if they have a cell phone.
To calculate this distribution, what would you set p equal to? p =
What would q be equal to? q =
What would n be equal to? n =
Answers
Answer:
p = 0.35
q = 0.65
n = 7
Step-by-step explanation:
To calculate the distribution, we have the following values;
p = 35% = 35/100 = 0.35
q = 1-p = 1-0.35 = 0.65
n = 7
Answer:
p = 0.35
q = 0.65
n = 7
Step-by-step explanation:
Hannah & Sal share 24 sweets.
5
1
Hannah gets - of them. Sal gets - of them.
NO
How many sweets do they each get?
24
Answers
Answer:
Hannah = 20, Sal = 4
Step-by-step explanation:
Total number of sweets = 24
Ratio in which the sweets was shared;
Hannah : Sal = 5 : 1
Hannah gets:
Hannah = 5 / ( 5+1) * 24 = 5/6 * 24 = 5 * 4 = 20
Sal gets:
Sal = 1 / ( 5+1) * 24 = 1/6 * 24 = 1 * 4 = 4
A = (1,5)
C = (1.75, 2.5)
B = (?)
What are the coordinates of point Bin the diagram?
Answers
Answer:
I'm sorry I can't give you an answer until i see a picture of where the mark of B is.. could you try posting a picture as well an i can answer.
Step-by-step explanation:
ASAP WHO EVER ANSWERS THIS WILL BE MARK BRANLIEST
Answers
Answer:
c. 5, all
(5 people were selected and all the spectators purchased tickets)
Answer:
C
Step-by-step explanation:
Can someone please help me out on this one math problem you will get double the points if you help me, I will also give you the brain thing. Please actually help not just takes the points.
•Suppose a car is traveling southwest on King Avenue and turns left onto 3rd Street. What is the measure of the angle created by the car's turning? Explain your answer. (2 pts.)
Answers
Answer:
answer should be 105 degrees.
Step-by-step explanation:
this is becuase the 75 degree angle given creates a 105 degree angle to its left. and the car turning left onto 3rd street would be a corresponding angle to the 105 degree angle on the top. sorry if its confusing, but the answer is 105 degrees. hope it helps
Answer:The angle formed by turning from traveling southwest on King Avenue to 3rd street is a corresponding angle to the 75° angle. This means its measure is 75°. here is your answer!
Step-by-step explanation:
which expression is equivalent to
Answers
Answer:
answer of this question is
option b
6. If xy = 6 and x = 2, then x + y =
Answers
x = 2
2y = 6
y = 6÷2
y = 3
x + y = (2) + (3) = 5
If you follow a similar approach by drawing a line through point C that is perpendicular to and using the associated defects for ∠A or ∠B instead of ∠C, what are the resulting equations? (Do not go through the complete derivation again, just think about the result you came up with in question 9 and what similar formulas for ∠A or ∠B would look like.)
Answers
Answer:
n
Step-by-step enxplanation:
n
Anita drove at a constant speed of 70 mph per hour. How many miles did she travel in 6 hours?
Answers
Answer:
420
Step-by-step explanation:
Speed x Time = Distance
70 x 6 = 420
Therefore your answer is 420.
Find the volume of the prism.
Answers
Answer:
4.375cm
Step-by-step explanation:
You have to look at what volume equals Volume= l×w×h so 3/2 × 5/4 × 7/3
Below is a set of data about temperatures. The range of a set of data is the distance between the lowest and highest value in the set. What is the range of these temperatures
9∘C
3∘C
22∘C
-5∘C
11∘C
15∘C
Answers
PLEASE HELP ME ASAP! DUE TODAY! (functions) (brainliest)
Answers
Answer:
how did you get the graph on here
An experiment consists of randomly selecting a marble from a bag, not replacing it, and then selecting another marble. The bag contains 3 yellow marbles and 2 white marbles. What is the probability of selecting a white marble and then a yellow marble?
Answers
Answer:
The bag contains 4 blue marbles, 3 green marbles, 7 red marbles, and 1 yellow marble. What is the probability of selecting a red marble and then a blue marble? Question 3 ... 4 blue marbles+ 3 green marbles+ 7 red marbles+ 1 yellow marble= 15 ... P(red,blue0 = 7/15 * 2/7 = 2/15 =.13333333 = 13.33%.
Step-by-step explanation:
Answer:
There are 14 total marbles. The probability of drawing a yellow marble on the first draw is 3/14. Given replacement, the probability on the second draw is the same as on the first draw, so the probability of a black marble on the second draw is 6/14. The probability of drawing first a yellow marble then a black marble is 3/14 * 6/14 = 18/196.
i am so confused please
Answers
2) 2x
3) 8k
4) 19.25c
5) 11y-5
6) .25x+2
7) 7t+14
8) 3.2k+5
9) z+6x
10) 3n+4p
11) 2y+2x
12) 27g-3s
13) 11m+100
14) 2w+12
15) 3b+10
16) 7a+6
17) 16n+10
18) 3y+6x
19) 15p/2
20) 3s-2t
I NEED THIS ASAP!!! The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 4. If there were 4045 yes votes, what was the total number of votes?
Answers
Answer:
The total number of votes was 7281 .
Step-by-step explanation:
Let the number of no votes be x
yes : no
5 : 4
4045 : x
4045÷5 = 809
so,
x = 4 × 809 = 3236
3236 people voted no .
Total number of votes = 4045 + 3236
= 7281 ( Ans )
Sajid wants to bake cupcakes and muffins. He wants to bake a total of at least 16 cupcakes and muffins
(condition A), and he has 9000 grams of sugar (condition B).
ni
The graph represents the constraints on the number of cupcakes C and muffins M Sajid bakes.
M
20
18
16-
А
14-
12
10
8-
6+
B
41
2+
С
2
4 6
8
10 12 14
18 20
Sajid bakes 3 cupcakes. How many muffins can he bake to meet both his constraints?
Answers
Answer:
At least 13 muffins and at most 16 muffins