Given:
Length of the scale = 15.6 in.
Width of the scale = 7.2 in.
Scale of drawing = 1 in. : 5ft.
To find:
The ratio of area of the actual court to the area of the drawing (as a unit rate).
And to check whether it is the same as the ratio of length of the actual court to the length of the drawing.
Step-by-step explanation:
We have,
1 in. = 5ft.
Now, using this scale we get
15.6 in. = (15.6 × 5) ft =78 ft.
7.2 in. = (7.2 × 5) ft = 36 ft.
So, the actual length and width of tennis court are 78 ft and 36 ft respectively.
Area of actual tennis court is
[tex]Area=length\times width[/tex]
[tex]Area=78\times 36[/tex]
[tex]Area=2808\text{ ft}^2[/tex]
The area of drawing is
[tex]Area=15.6\times 7.2[/tex]
[tex]Area=112.32\text{ in.}^2[/tex]
Now, ratio of area of the actual court to the area of the drawing (as a unit rate) is
[tex]\dfrac{2808}{112.32}=\dfrac{25}{1}=25:1[/tex]
Ratio of area is 25:1 and ratio of length is 5:1 both area not same.
Therefore, the ratio of area of the actual court to the area of the drawing (as a unit rate) is 25:1.
The data set represents the number of miles Mary jogged each day for the past nine days.
6, 7, 5, 0, 6, 12, 8, 6, 9
What is the outlier of the data?
0
6
7
12
Answer:
0
Step-by-step explanation:
It is the only number that isn't positive
The outlier of the data that represents the miles jogged by Mary each day for the past nine days is 0.
What is the outlier?
An outlier is a number that is very different from other data in a data set. It is either very big or way smaller than the other numbers.
The outlier is 0. This is because it was the largest differnt from the second smallest number.
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Anybody know the answer to this?
Answer:
[tex]12a^2-3a+\frac{33}{4}[/tex]
Step-by-step explanation:
feel free to put brainist
According to a certain country’s department of education, 40.0% of 3-year-olds are enrolled in day care.
What is the probability that a randomly selected 3-year-old is enrolled in day care?
Given parameters:
Percentage of enrollment of 3-year-olds = 40%
Unknown:
Probability that a randomly selected 3-year-old is enrolled in a day care = ?
Probability is the likelihood of an event to occur.
Probability = [tex]\frac{Possible outcome}{Total out come}[/tex]
In this problem, 40% of the total number of 3-year-olds are enrolled in a day care.
We can say, out of every 100 3-year-olds, 40 of them will enroll in day care.
The possible enrollment is 40 and the total is 100;
Input the parameters and solve;
Probability = [tex]\frac{40}{100}[/tex] = [tex]\frac{2}{5}[/tex]
The probability that any randomly selected 3 year old is enrolled in day care is [tex]\frac{2}{5}[/tex]
i do not understand ): please help
Answer: its 5 and -1 so D
Step-by-step explanation: In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression. In the latter case, the variables appearing in the coefficients are often called parameters, and must be clearly distinguished from the other variables
plz help i mark as brainlest!
Answer:
d
Step-by-step explanation:
Molly is planting the flowers using the proportional relationship of 18 pink flowers to 12 white flowers per row.
Find the ratio of pink flowers per white flower per row
Answer:
3 : 2.
Step-by-step explanation:
18 : 12 Divide both values by 6:
= 3 : 2.
Answer:
Step-by-step explanation:1.5
*How far can a train travel in 45 minutes if it is traveling at 80 miles per hour.
Answer:
60 miles
Step-by-step explanation:
distance = speed x time
45 minutes = 0.75 hours
0.75 x 80 = 60
The Parker family went to the carnival. When everyone was ready for lunch, Dad bought 4 drinks for $3.25 and 4 hot dog plates with chips for $8.00. He also used a coupon for $2.00 off the price of lunch. How much did Dad pay for lunch altogether?
Please help been stuck on this for a hour
Answer:
1 mile every 57 seconds I belive
Step-by-step explanation:
the cost of the t shirts in dollars is given by the equation c=9.5t, where c is the total cost of the t-shirts and t is the number of t-shirts . If sanjay bought 14 t shirts , how much did he pay?
9514 1404 393
Answer:
$133
Step-by-step explanation:
Put 14 where t is in the formula and do the arithmetic.
c = -9.5×14
c = 133 . . . . cost in dollars
Sanjay paid $133 for the 14 t-shirts he bought.
What is the solution for the equation 6x − 8 = 4x? x = . (Input whole number only). (5 points) Blank 1:
Answer:
4
Step-by-step explanation:
Step 1:
6x - 8 = 4x Equation
Step 2:
6x = 4x + 8 Add 8 on both sides
Step 3:
2x = 8 Subtract 4x on both sides
Step 4:
x = 8 ÷ 2 Divide
Answer:
x = 4
Hope This Helps :)
karinne hit 4 more home runs than 1/2 the number of home runs Lu hit. Together they hit 10 home runs. Let X represent the number of home runs Lu hit. Write an equation to represent the situation
It is given that Lu hit x numbers of home run.
So, number of home run hit by Karinne is more home runs than 1/2 the number of home runs Lu hit.
So, number of home run Karinne hit is :
[tex]y = 4 + 0.5x[/tex]
Also,
[tex]x + y = 10[/tex]
Solving above two equation, we get :
x + ( 4 + 0.5x ) = 10
1.5x + 4 = 10
1.5x = 6
x = 4
Therefore, number of home run hit by Lu is 4.
Hence, this is the required solution.
Creating a mathematical expression using the scenario described, the expression which represents the total number of home runs is 1.5x + 4 = 10
Total Number of home runs :
(1/2)x + 4 + x = 10
1.5x + 4 = 10
1.5x = 10 - 4
1.5x = 6
x = 6/1.5
x = 4
Therefore, the equation which represents the situation is 1.5x + 4 = 10
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Which lists all the multiples of 8 that are less than 50?
A. 2, 4, 8
B. 4, 8, 12, 16, 24, 32, 40, 48
C. 8, 16, 24, 32, 40, 48
D. 8, 16, 24, 32, 40, 48, 56
Answer:
Its the third one 8, 16, 24, 32, 40, 48
Step-by-step explanation:
They all are multiples of 8 and are not more than 50
Which property of addition is shown in the equation below?
a + bi + 0 + Oi = a + bi
A.commutative property
B.inverse property
C.identity property
D.associative property
A climber started at 2,580 feet above sea level. He climbed up 348 feet, down a valley 452 feet, and up 108 feet. What is his new elevation?
Answer:
2,584
Step-by-step explanation:
You just add or subtract the numbers if hes going up or down.
10.The volume V of a given mass of gas varies inversely as the pressure P. When V =2m3 ,P=500 N/m2 .Find the volume when the pressure is 400N/m2 Find the pressure when the volume is 5 m3
Answer:
[tex]2.5\; \rm m^3[/tex].
Step-by-step explanation:
Let [tex]V_1[/tex] and [tex]P_1[/tex] denote the volume and pressure of this gas before the change. Let [tex]V_2[/tex] and [tex]P_2[/tex]denote the pressure of this gas after the change.
The ratio between the volume of this gas before and after the change would thus be [tex]\displaystyle \frac{V_1}{V_2}[/tex].
The ratio between the pressure of this gas before and after this change would be [tex]\displaystyle \frac{P_1}{P_2}[/tex].
Because the volume of a given mass of (ideal) gas varies inversely with pressure, these two ratios should be reciprocal of each other. That is:
[tex]\displaystyle \frac{V_1}{V_2} = \frac{1}{\displaystyle \displaystyle \left(\frac{P_1}{P_2}\right)}[/tex].
In other words:
[tex]\displaystyle \frac{V_1}{V_2} = \frac{P_2}{P_1}[/tex].
Rearrange and solve for [tex]V_2[/tex], the volume of this gas after the change:
[tex]\displaystyle V_1 = V_2\cdot \left(\frac{P_2}{P_1}\right)[/tex].
[tex]V_2 = \displaystyle V_1 \cdot \left(\frac{P_1}{P_2}\right)[/tex].
From the question:
Volume of this gas before the change: [tex]V_1 = 2\; \rm m^3[/tex].Pressure of this gas before the change: [tex]P_1 = 500\; \rm N \cdot m^{-2}[/tex].Pressure of this gas after the change: [tex]P_2 = 400\; \rm N \cdot m^{-2}[/tex].Solve for [tex]V_2[/tex]:
[tex]\begin{aligned} V_2 &= V_1 \cdot \left(\frac{P_1}{P_2}\right) \\ &= 2\; \rm m^3 \times \frac{500\; \rm N \cdot m^{-2}}{400\; \rm N \cdot m^{-2}} = 2.5\; \rm m^3\end{aligned}[/tex].
At the beginning of July, Kim had a mass of 63 kg.
At the end of July, his mass was 61 kg.
Calculate the percentage loss in Kim's mass.
Answer:
2%
Step-by-step explanation:
5x = 45
O Commutative Property
O Associative Property
O
Distributive Property
Subtraction Property of Equality
O
Division Property of Equality
Is (4, 3) a solution to x + y = 7
Answer:
Yes
Step-by-step explanation:
(x, y)
(4, 3)
x = 4
y = 3
Therefore
4 + 3 = 7
what is the slope of the line
Answer:
The slope is -1/1 or just -1.
(When you need to plot the slope, you use -1/1 to use the strategy Rise/Run or Rise over Run.
If you look at the point (-3,1) From that point, you go down -1 and you run to the side for a positive 1.
Once you do that you'll land at (-2,0) and you can keep on repeating this and you'll see that it lands on the points on the line.
Hope this helps! Please feel free to ask any questions if needed! :)
A fruit company includes 1.655 ounces of pineapple juice in a 6.75 ounce bottle of a mixed fruit juice. How much of the bottle of mixed fruit juice is NOT pineapple juice?
can this expression be simplified anymore?
Answer:
I believe is a true to become a good expression
Find the common ratio of the geometric sequence 18,-90,450,...
Answer:
try looking it up on socratic
Answer:
-5
Step-by-step explanation:
The common ratio is what you have to multiply one term by to get the next term.
so:
[tex]18 \times r = -90\\-90 \times r = 450[/tex]
where r is the common ratio
We can solve these equations:
-90 / 18 = -5
450/-90 = -5
therefore the common ratio is -5
please help me asap (picture is included) (:
Answer:
d
Step-by-step explanation:
If
3y + 1
2
= 5,
4x
3
= 8
and
z
3
+
z
4
= 2
A. y > x B. x = y C. y > z D. x > z
Step-by-step explanation:
hey, write the question properly...
If the equation are 3y + 12= 5,4x - 3= 8 and z³ + z⁴ = 2, then x = y
Let's start by solving each equation one by one to find the values of the variables.
Equation 1: 3y + 12 = 5
Subtracting 12 from both sides:
3y = 5 - 12
3y = -7
Dividing both sides by 3:
y = -7/3
Equation 2: 4x - 3 = 8
Adding 3 to both sides:
4x = 8 + 3
4x = 11
Dividing both sides by 4:
x = 11/4
Equation 3: z³ + z⁴
This equation is a bit more complex, and it seems challenging to find the exact values of z. However, we can deduce some information about the relationship between z³ and z⁴ by examining the equation. Since both terms are positive, the sum of z³ and z⁴ can never be negative. Therefore, the only possible solution is when both z³ and z⁴ are less than 2.
Now, let's compare the values of y, x, and z:
y = -7/3 ≈ -2.33
x = 11/4 ≈ 2.75
z³ + z⁴ < 2 (as explained above)
Based on these values, we can determine the relationship between the variables:
A. y > x
B. x = y
C. y > z
D. x > z
The correct answer is: B. x = y
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Helpp me PlzzzzzZZzz
Answer: B. Distributive Property
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Distributive Property
WILL GIVE BRAINLIEST!! What is the y-intercept of a line that has a slope of 3 and passes through point (4, 8)?
Answer:
-4
Step-by-step explanation:
If we set up the equation with the known info, we get y=3x+b
We can then use the ordered pair to plug in, so 8=12+b
Now, simply solve for B, and you get -4
6200 divided by 163 i need the answer or ill fail
Answer:
38.04
Step-by-step explanation:
6200/163= 38.036809816
Since after the 3 is a 6 which is over 5 you can round the 3 up to a 4 and cut everything else off.
Hope this helps. Plz give brainliest.
6200 divided by 163 is equal to 38 with a remainder of 6.
We have,
The concept used to divide 6200 by 163 is a long division.
Long division is a method of dividing two numbers by repeatedly subtracting multiples of the divisor from the dividend until the remainder becomes smaller than the divisor.
It involves dividing digit by digit, starting from the leftmost digits of the dividend and moving towards the right.
Now,
To divide 6200 by 163, we perform a long division.
Here's how it works:
38
__________
163| 6200
4890
______
1310
1304
______
6
The quotient is 38, and the remainder is 6.
Therefore,
6200 divided by 163 is equal to 38 with a remainder of 6.
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What is the image point of (-2, -3) after a translation right 2 units and up 4 units?
Answer:
The Answer is (0, 1)
Step-by-step explanation:
add 2 and 4 to the x and y
Answer:
(0, 1)
Step-by-step explanation:
2 units right -> -2 + 2 = 0
4 units up -> -3 + 4 = 1
If AABC = ADEC,
ZB = 3x and ZE = 6x - 39
Answer:
x = 13
Step-by-step explanation:
3x = 6x - 39 solve for x