assuming that the bases are placed correctly, the bases connected draw a square, each side being 90 ft long. We multiply 90 by the amount of sides(4) to find the total distance/perimeter = 360.
The distance around the bases in meters will be 27.432 meters.
How many meters are in 1 feet?
In one feet there are 0.3048 meters.
Given is a baseball field measures 90 feet between each base.
Distance between each base in feet = [d] = 90 feet
The distance between each base in meters will be -
D [meters] = 90 x 1 ft
D [meters] = 90 x 0.3048 meters
D [meters] = 27.432 meters
Therefore, the distance around the bases in meters will be 27.432 meters.
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CHECK YOUR UNDERSTANDING
Kyle invests $20,000 in a partnership that has five other partners.
The total investment of the partners is $160,000. What percent of the
business is owned by the five other partners?
The percentage of the business that is owned by the five other partners is 87.5%.
Amount invested by Kyle = $20000
Total investment of the partners = $160000
The percentage of the business that is owned by the five other partners will be:
= ($160000 - $20000) / $160000 × 100
= $140000/$160000 × 100
= 87.5%
Therefore, the other partners have 87.5% of the investment.
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C. You filled your car tank with gas at the beginning of the trip. At the start of
the trip, your odometer read 25,678 miles. At the end of your trip, your
odometer read 26,109 miles. When you filled your tank at the end of the trip,
it took 15 gallons of gas. How many miles per gallon did the car get?
Answer:
164
Step-by-step explanation:
To find the car's miles per gallon, divide the total miles traveled by the total gallons of gas used. In this case, the car got approximately 28.73 miles per gallon.
Explanation:To find the miles per gallon the car got, you need to divide the total miles traveled by the total gallons of gas used. In this case, the car traveled 26,109 - 25,678 = 431 miles and used 15 gallons of gas. Using the formula MPG = Miles / Gallons, we get MPG = 431 / 15 = 28.73 miles per gallon. Therefore, the car got approximately 28.73 miles per gallon.
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A storeowner orders 25 calculators that cost $32 each.The storeowner can sell each calculator for 40$ .the storeowner sold 22 calculators to cudtomers.He had to return 3 calculators that were never sold and pay a $2 charge for each returned calculator(although the initial cost is refunded)What is the storeowners profit
Answer:
$74
Step-by-step explanation:
25*32 will be the total amount he spent at first. ($800)
He sells 22 calculators at 40$, 22*40 = 880.
He was unable to sell 3, and he had to pay 2$ per (2*3 = 6)
He had an 80 dollar profit before he returned them, (880-800).
Then he returned three for 6$ (80-6)
His end profit was 74.
How to solve -17-3(2x+13)+24
Answer:
Step-by-step explanation:
-17 - 3(2x + 13) +24
-17 - 6x - 39 +24
-17 - 6x - 15
-6x - 32
17x=13x solve for x
I’m not sure but I got this with the same side interior angles theorem. I have to find the measure of angle EFG
-3(y+3)=2y+3
what’s the answerrr is there even a solution???
Answer:
y = -2 2/5
Step-by-step explanation:
-3(y+3)=2y+3
-3y - 9 = 2y + 3
-3y - 2y = 3 + 9
-5y = 12
y = 12/-5 = -12/5 = - 2 2/5
-3(y+3)=2y+3
Mutiply the bracket by -3
(-3)(y)= -3y
(-3)(3)= -9
-3y-9= 2y+3
Move -9 to the other side
Sign changes from -9 to +9
-3y-9+9= 2y+3+9
-3y= 2y+3+9
-3y= 2y+12
Move 2y to the other side
Sign changes from +2y to -2y
-3y-2y= 2y-2y+12
-3y-2y=12
-5y= 12
Divide both sides by -5
-5y/-5= 12/-5
Answer:
y= -12/5 or y=- 2 2/5
use the digits 0-7 to create two 4 digit numbers whose sum is greater than 9999.
Answer:
7,045 and 6,123. The sum is 13,168
Answer:
The numbers 7654 and 5463 meets the given conditions.
Step-by-step explanation:
We are given the following information in the question:
We have to create two four digits number from the digits between 0 and 7 such that there sum is greater than 9999.
Let x and y be the four digits number, then x and y must satisfy the equation:
[tex]x + y > 9999[/tex]
We choose the number 7654 and 5463. These are randomly fenerated from digits between 0 and 7.
Adding the two numbers:
[tex]x + y = 7654 + 5463 = 13117 > 9999[/tex]
Hence, the numbers 7654 and 5463 meets the given conditions.
d) Calculate the area of a circle with a circumference of 31.4 in.
Answer:
A ≈ 78.54
Step-by-step explanation:
Area of a circle is A=πr^2
Since you do not know r (radius) you take the formula for the circumference of a circle (C=2πr), plug in 31.4 for C, and solve for r
Now that you have the radius of 4.99746521, you round it up to 5 and solve the area formula with 5 in as r.
answer:78.5
for explanation see the picture
What is the distance between 178 and 313 on a number line some one help me
The distance between 178 and 313 on a number line is: 135
Step-by-step explanation:We know that the distance between two points a and b on a number line is equal to the absolute difference between the two numbers.
i.e. Distance between two numbers = |a-b|
Here we have:
a= 178
and b=313
This means that:
|a-b|=|178-313|=|-135|=135
Figure 1 is congruent to Figure 2.
Figure 1
K 3.5 cm L
Figure 2
5 cm
T
4.5 cm
3 cm
2 cm
What is the length of NP?
A. 2 cm
B, 3 cm
C: 3.5 cm
D, 4.5 cm
E, 5 cm
Answer:
E.) 5 cm
Step-by-step explanation:
The shapes are congruent and are the same size, side TU is the same as NP. If TU is 5, then NP is 5.
Answer:
E. 5 cm.
Step-by-step explanation:
As the 2 figures are congruent then corresponding sides are congruent.
NP corresponds to UT = 5 cm.
So NP is 5cm long.
(If we rotate Figure 2 through 180 degrees anticlockwise we see that it fits exactly on to figure 1.)
Help find b in this triangle
Answer:
b = 136°
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
b is the exterior angle of the triangle, thus
b = 68° + 68° = 136°
solve by substitution or elimination 5x+3y=-15 -8x-2y=10
Answer:
x=0, y=-5
Step-by-step explanation:
The system is
(1) 5x+3y=-15
(2) -8x-2y=10
Let's solve it by elimination. In order to do it, you have to multiply the equations by suitable numbers in such a way that when you add the 2 equations, one of the unknowns is eliminated
Multiply (1) by 2 and (2) by 3
(1) 10x+6y=-30
(2) -24x-6y=30
Add the two equations
10x-24x+6y-6y=-30+30 ----> -14x=0---->x=0
Now replace this value in any equation, for example in (1)
6y=-30 ----> y=-30/6----> y=-5
Answer: The required solution is (x, y) = (0, -5).
Step-by-step explanation: We are given to solve the following system of equations by the method of substitution or elimination :
[tex]5x+3y=-15~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\-8x-2y=10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
We will be solving the given system by substitution method.
From equation (ii), we have
[tex]-8x-2y=10\\\\\Rightarrow -4x-y=5\\\\\Rightarrow y=-4x-5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)[/tex]
Substituting the value of y from equation (iii) in equation (i), we get
[tex]5x+3(-4x-5)=-15\\\\\Rightarrow 5x-12x-15=-15\\\\\Rightarrow -7x=0\\\\\Rightarrow x=0.[/tex]
From equation (iii), we get
[tex]y=-4\times0-5=-5.[/tex]
Thus, the required solution is (x, y) = (0, -5).
You deposit $750 in an account that earns 7.5% simple interest. How much will be in the account after 5 years?
Answer:
$1,031.25 will be in the account
Answer:
$1031.25.
Step-by-step explanation:
The formula for simple interest is
I = PRT/100 so substituting:
I = 750 * 7.5 * 5 / 100
Interest I = $281.25.
Amount in account = 750 + 281.25
= $1031.25.
Which quadratic function only has one x-intercept?
A f ( x ) = x 2 − 12 x + 36
B f ( x ) = x 2 − 13 x + 36
C f ( x ) = x 2 + 13 x + 36
D f ( x ) = x 2 + 20 x + 36
Answer:
f(x) = x² - 12x + 36 = (x - 6)²
The correct answer is A.
The quadratic function that has only one \(x\)-intercept is A. [tex]\( f(x) = x^2 - 12x + 36 \)[/tex]
A quadratic function has only one [tex]\(x\)[/tex]-intercept if it touches the [tex]\(x\)[/tex]-axis at exactly one point, which happens when the discriminant [tex](\(\Delta\))[/tex] of the quadratic equation is zero. The discriminant of a quadratic function [tex]\(ax^2 + bx + c = 0\)[/tex] is given by:
[tex]\[ \Delta = b^2 - 4ac \][/tex]
Let's calculate the discriminant for each given function to determine which one has only one [tex]\(x\)[/tex]-intercept.
Option A: [tex]\( f(x) = x^2 - 12x + 36 \)[/tex]
[tex]\[ a = 1, \, b = -12, \, c = 36 \][/tex]
[tex]\[ \Delta = (-12)^2 - 4 \cdot 1 \cdot 36 \][/tex]
[tex]\[ \Delta = 144 - 144 \][/tex]
[tex]\[ \Delta = 0 \][/tex]
Option B: [tex]\( f(x) = x^2 - 13x + 36 \)[/tex]
[tex]\[ a = 1, \, b = -13, \, c = 36 \][/tex]
[tex]\[ \Delta = (-13)^2 - 4 \cdot 1 \cdot 36 \][/tex]
[tex]\[ \Delta = 169 - 144 \][/tex]
[tex]\[ \Delta = 25 \][/tex]
Option C: [tex]\( f(x) = x^2 + 13x + 36 \)[/tex]
[tex]\[ a = 1, \, b = 13, \, c = 36 \][/tex]
[tex]\[ \Delta = 13^2 - 4 \cdot 1 \cdot 36 \][/tex]
[tex]\[ \Delta = 169 - 144 \][/tex]
[tex]\[ \Delta = 25 \][/tex]
Option D: [tex]\( f(x) = x^2 + 20x + 36 \)[/tex]
[tex]\[ a = 1, \, b = 20, \, c = 36 \][/tex]
[tex]\[ \Delta = 20^2 - 4 \cdot 1 \cdot 36 \][/tex]
[tex]\[ \Delta = 400 - 144 \][/tex]
[tex]\[ \Delta = 256 \][/tex]
Only option A has a discriminant of 0, which means it has exactly one \(x\)-intercept.
A plumbing company charges $50 for the first hour of a service call and $30 per hour for each hour or part of an hour that a job requires after the first hour. If the Smiths’ bill included $65 for supplies and the plumber worked 2 hours and 35 minutes, how much was their bill?
Answer:
$175?
Step-by-step explanation:
You know that the first hour is $50, and the second hour and the 35 minutes are $30 each, making it $60.
Add $60+$50= $110. Then add the parts cost, which is 65, and get $175
4|w − 5| = 4
Write your answers as integers or as proper or improper fractions in simplest form.
w = or w =
Answer:
w = 9 or w = 1
Step-by-step explanation:
4|w − 5| = 4
Divide both sides by 4
w - 5 = 4 w - 5 = -4
+ 5 + 5 + 5 + 5
w = 9 w = 1
Below is a graph of the Murphys' annual expenses. If the Murphys' gross annual household income is $85,420, how much will they pay in federal taxes?
a. $3,559.17
b. $8,542.00
c. $20,500.80
d. $29,897.00
[tex]\text{Hello there!}\\\\\text{We know that Murphy makes \$85,420}\\\\\text{However, we need to find how much he needs to pay in federal taxes}\\\\\text{Looking at the chart, you'll see that federal taxes is 24\%}\\\\\text{This means we have to multiply 85,420 by .24 to see how much he needs}\\\text{to pay}\\\\85420*.24=20500.8\\\\\boxed{\text{Answer: C). \$20500.8}}[/tex]
The amount paid as Federal tax by the Murphys' is $20,500.80.
What is a pie chart?A pie chart is a kind of graph that is plotted in circular form. It is often used to present information succinctly and for easy digestion by the target audience.
In order to obtain the amount of money that the Murphys' pay as federal tax;
Total or gross income of the Murphys' = $85,420Percentage paid as federal tax = 24%Hence;
Amount paid as federal tax = 24/100 × $85,420 = $20,500.80
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0.1 x 23
Please help me
Answer:
the answer would be 2.3
Answer:
2.3
Step-by-step explanation:
when you are multiplying by a decimal, you move the decimal point in 23 (Yes, there is a decimal point in 23, since it is technically 23.000000000 and some more zeros) one space to the left. The answer is 2.3!
Which of the following transformations will make parallel lines p and q coincide with parallel lines p' and q'?
A.Counterclockwise rotation 90 about the origin
B.Counterclockwise rotation 90 about the origin, followed by translation 4 units to the left
C.Reflection across the x-axis, followed by a counterclockwise 90 rotation about the origin
D.Reflection across the line y-axis, followed by a counterclockwise 90 rotation about the origin
Answer:
A. Counterclockwise rotation 90 about the origin
Step-by-step explanation:
All we have to do is make the 270°-clockwise [90°-counterclockwise] rotation to map it exactly on q' and p'.
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Option (A) counterclockwise rotation 90° about the origin makes the the parallel lines p and q will coincide with parallel lines p' and q' is the correct answer.
What is transformation of rotation?A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction on the coordinate plane. In both transformations the size and shape of the figure stays exactly the same.
For the given situation,
The graph shows the parallel lines p, q and p', q' in the plane.
The parallel lines p and q coincide with parallel lines p' and q' when we transformed the parallel lines by counterclockwise rotation 90° about the origin.
After this transformation of rotation, the parallel lines p and q will coincide with parallel lines p' and q'.
Hence we can conclude that option (A) counterclockwise rotation 90° about the origin makes the the parallel lines p and q will coincide with parallel lines p' and q' is the correct answer.
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Which angle is in standard position?
Answer:
RIght
Step-by-step explanation:
RIght is an equal angle so, therefore it would be right
The angle in the standard position is the graph given below.
We have,
An angle in standard position refers to an angle that is formed by the initial side and terminal side in the Cartesian coordinate system.
The initial side is the positive x-axis, and the terminal side is a ray that starts from the origin (0, 0) and extends in a specific direction.
Now,
The graph given below starts from the origin (0, 0).
The initial side is in the positive x-axis.
The terminal is a ray parallel to the positive x-axis.
Thus,
The angle in the standard position is the graph given below.
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A model for my number has
6 ones blocks, 2 hundreds blocks, and 3 tens
blocks. What number am I
Answer:
A model for my number has 6 ones blocks, 2 hundreds blocks, and 3 tens blocks. The model number is 236.
Solution:
Given that the model has 6 ones blocks, 2 hundreds blocks, and 3 tens blocks. The model number can be found out by,
[tex]\bold{\begin{array}{l}{=\text { (number of hundreds block } \times 100)+(\text { number of tens block } \times 10)+} \\ {\text { (number of ones block } \times 1)}\end{array}}[/tex]
Given that number of one blocks = 6 blocks. Hence we get [tex]6 \times 1=6[/tex]
Number of ten blocks = 3.Hence we get [tex]3 \times 10 = 30[/tex]
Number of hundred blocks = 2 .Hence we get [tex]2 \times 100=200[/tex]
So the model number = 6 + 30 + 200
=236
Hence the model number is 236.
What is 33+12f=51 please help
Answer:
f=3/2
Step-by-step explanation:
33+12f=51
1) subtract 33 on both sides:
12f=18
2) Divide both sides by 12:
f=18/12
3) Simplify the fraction:
f=3/2
Sara is cutting bows out of ribbon which
will be used to wrap gifts. If Sara needs 1/4 of
a foot of ribbon to make a bow, and she has
5 feet of ribbon, then how many bows can
Sara make?
13.48x - 200 < 256.12
Answer:
x<38.836
Step-by-step explanation:
13.48x - 200<256.12
÷4=>3.37x-50<64.03
3.37x<114.03
x<114.03/3.37
x<38.836
Answer:
what??
Step-by-step explanation:
Subtract 2 1/6- 1 7/8
Answer:
The answer is 7/24
Step-by-step explanation:
Rewriting our equation with parts separated
=2+16−1−78
Solving the whole number parts
2−1=1
Solving the fraction parts
16−78=?
Find the LCD of 1/6 and 7/8 and rewrite to solve with the equivalent fractions.
LCD = 24
424−2124=−1724
Combining the whole and fraction parts
1−1724=724
Solution by Formulas
converting mixed numbers to fractions, our initial equation becomes,
136−158
Applying the fractions formula for subtraction,
=(13×8)−(15×6)6×8
=104−9048
=1448
Simplifying 14/48, the answer is
=724
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It takes 2 and a 1/2 poster boards to display half of your project. How many poster boards will you need for your entire project?
Answer:
5 poster boards
Step-by-step explanation:
An aircraft flies against the wind for a distance of 300 miles in 2 hours then the aircraft makes the return trip with the wind in 1 hour what was the aircraft average speed for the entire trip
The aircraft's average speed for the entire trip, both against and with the wind, is 200 miles per hour. This is calculated by dividing the total distance travelled (600 miles) by the total time taken (3 hours).
Explanation:To solve this problem, we'll use the formula for average speed: Total Distance/Total Time. In this case, the aircraft flies 300 miles against the wind and 300 miles with the wind, so the total distance is 600 miles (300+300).
The total time is the time it takes to fly against the wind plus the time it takes to fly with the wind, which is 3 hours (2+1).
So, the average speed for the entire trip is 600 miles/3 hours = 200 miles per hour.
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Rachel needs to save $1.015 to buy a new scooter. If she saves $35 each
month, how many months will it take her to save enough money to buy the
scooter?
F. 29
6.31
H. 27
J. 33
Answer:
Step-by-step explanation:
From the problem statement, we can setup the following equation:
[tex]35M = 1015[/tex]
where [tex]M[/tex] is the number of months that Rachel has saved up money.
Dividing both sides by 35, we get the answer:
[tex]M = 29[/tex]
What is 42% of 75?
A.
315
B.
105
C.
31.5
D.
10.5
Answer:
31.5
Step-by-step explanation:
42% of 75 is 31.5. The working is as follows :
42 ÷ 100 × 75 = 31.5
You can also use the picture ^^
Answer:
[tex]C.[/tex] [tex]31.5[/tex]
Step-by-step explanation:
When trying to find a percent of a number, you must always do the following steps:
Multiply the number by the percent number.
[tex]42 * 75 = 3150[/tex]
Dividing you answer by 100.
[tex]3150 / 100 = 31.5[/tex]
Add percent sign.
31.5%
What is 10 × 7 thousands in unit form
Answer:
ten thousands/thousands/hundreds/tens/ones
7 / 0 / 0 / 0 / 0
Explanation:
10 x 7,000 = 70, 000
Answer:
70000
Step-by-step explanation:
According to the Zero-Product Rule, multiply 7 by 1000 to get 7000, then attach that extra 0 to the answer, giving you 70000.
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