Answer:
There are 31 people in the row
Step-by-step explanation:
Let us say that the number of people in the row is = x
We can also assume that the people arranged in the row are counted from one end.
The median value can be got using the formula:
median (middle person) = (n +1 )/2
where n = number of people in the row
hence, we will have
16 = (n +1)/2
n = 32 -1 =31
Therefore, there are 31 persons in the row
A rental car company charges $68.64 per day to rent a car and $0.12 for every mile driven. Jaxon wants to rent a car, knowing that: • He plans to drive 500 miles. • He has at most $210 to spend. What is the maximum number of days that Jaxon can rent the car while staying within his budget?
Answer:
2 days
Step-by-step explanation:
According to the problem, calculations of given data are as follows,
Rental charges per day = $68.64
Rental per mile = $0.12
Total miles = 500
Total spend = $210
Let number of days = X
So, we can find number of days by using following equation,
($68.64 × X ) + ( $0.12 × 500) = $210
$68.64 X + $60 = $210
$68.64 X = $210 - $60
$68.64 X = $150
X = $150 ÷ $68.64
X = 2.18 or 2 Days
Cynthia was paid 20 cents pr board for painting the fence. If she was paid $10 for painting half the boards, how many boards were there?
Answer:
100 boards
Step-by-step explanation:
Step one:
Given data
We are told that Cynthia was paid 20 cents per board for painting the fence
that is for 1 board painted she gets $0.2
If she was paid $10
let us find the number of boards she painted for $10
= 10/0.2
=50 boards
This means that the total boards were 50*2= 100 boards
Which of the following is an equivalent ratio to 5/2
A.) 750/262
B.) 655/262
C.) 475/262
D.) 131/262
Answer:
262/2 = 131
131 X 5 = 655
the answer is B: 655/262
2х + 3 +7+ 1 = simply the expression
Answer:
2x + 11
Step-by-step explanation:
2x stays by itself and the integers combine. (3+7+1 = 11)
Answer:
2x + 11
Step-by-step explanation:
you just add the 7 + 3 + 1 = 11
2x + 11
Draw a line representing the "rise" and a line representing the "run" of the line, State
the slope of the line in simplest form.
Answer:
The slope of the line m = 1
The equation of the straight line x -y -7=0
Step-by-step explanation:
Explanation:-
In the given graph
The points are ( 7,0) and ( 0, -7)
The slope of the line
[tex]m = \frac{y_{2}- y_{1} }{x_{2}-x_{1} } = \frac{-7-0}{0-7} = \frac{-7}{-7} = 1[/tex]
The equation of the straight line passing through the point (7,0) and slope m=1
y - y₁ = m (x - x₁)
y - 0 = 1( x-7)
y = x -7
x - y -7=0
Final answer:-
The slope of the line m = 1
The equation of the straight line x -y -7=0
PLZ ANSWER ASAP ITS DUE IN 20 MINS
Answer:
a) red
b) 1/16
c) 7/16
Step-by-step explanation:
probabilities on spinner:
yellow = 1/2
red = 1/4
blue = 1/8
green = 1/8
a) P(odd) = 1/2 1/2 x 1/4 = 1/8 1/4 represents Red
b) P(2, G or R) = 1/6 x (1/8 + 1/4) = 1/6 x 3/8 = 1/16
c) P(Prime, Not Blue) = 1/2 x 7/8 = 7/16
* prime numbers on a number cube are 2,3,5
What is this number in standard form? seventy-one and ninety-two thousandths
Answer:
71.092
Step-by-step explanation:
The number in the standard form i.e. seventy-one and ninety-two thousandths should be considered as the 71.092.
Number in standard form:Since the numbers are mentioned in alphabets like
seventy-one and ninety-two thousandths
We have to write in standard form
So, it should be like 71.092.
Hence, The number in the standard form i.e. seventy-one and ninety-two thousandths should be considered as the 71.092.
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30% of 6th grade student made honor roll. if there are 248 students in 6th grade, how mant students were on the honor roll
Answer:
74.4
Step-by-step explanation:
Jane read 3/8 of a book for 6 days. How many books did she read?
Answer:
2 and a half books.
Step-by-step explanation:
3/8×6=?
I simplified it by dividing 8 and 6 with 2 to get:
3/4×3=9/4
in whole numbers it will be, 2 and a half books
Are the lines perpendicular? y= x + 4 and y = x - 2
Answer:
No, the lines are parallel.
Step-by-step explanation:
In geometry, a branch of mathematics, perpendicular lines are defined as two lines that meet or intersect each other at right angles (90°).
Using desmos, you can see if those two lines make the definition of perpendicular lines true or not.
A farmer estimated that there were 25 gallons of water left in the tank. If this is an understatement by 16%, how much water was actually left in the tank
Answer:
29.76 is ur answer
Step-by-step explanation:
Work out the surface area of the solid cuboid
H=2cm
W=4cm
L=5cm
Answer:
total surface area = 76 sq.cm
Step-by-step explanation:
total surface area of cuboid = 2 ( lb + lh + bh )
( where l is length , b is width and h is height )
so, surface area :
= 2[ (5×4) + (5×2) + (2×4) ]
= 2 [ 20 + 10 + 8 ]
= 2 × 38
= 76 sq.cm
Which inequality is shown in this graph?
A. ys 2x - 2
B. y2-2x-2
C. yz 2x-2
D. ys-2x-2
Answer:
D
Step-by-step explanation:
when graphing inequalities if the shaded region is below the line then it is less than. Solid line makes it equal to. Line is going downwards so slope is negative. y intercept is in the negative region.
The inequality which is shown in this graph is y ≥ 2x - 2, the correct option is C.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
An inequality is a mathematical statement that compares two values or expressions using a relational operator, such as less than (<), greater than (>), less than or equal to (≤), greater than or equal to (≥), or not equal to (≠). Inequalities are used to describe relationships between quantities or to express constraints or conditions.
We are given that;
The graph
Now,
The inequality that is shown in this graph is C. y ≥ 2x - 2. This is because the graph shows a solid line with a slope of 2 and a y-intercept of -2, which is the equation y = 2x - 2. The solid line means that the points on the line are included in the solution set of the inequality. The shaded region above the line means that the points in that region satisfy the inequality.
Therefore, by the inequality the answer will be y ≥ 2x - 2.
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what is the difference if you deduct 50.78 to 99.75
A. 49.97
B. 50.97
C. 48.97
D. 48.79
Answer: 48.97
Step-by-step explanation:
Mr nealy has $107.40 he withdrew $120 from the ATM. Does he have enough money to pay for the meal? If he has enough money, how much change will he get back?
Answer: He has enough
Step-by-step explanation:120-107.40=12.60
Two triangles are similar.The the smaller triangle has side 10,20 and 15 units the larger triangles longest side is 52 units.What is the perimeter of the largest triangle?
Answer: The perimeter of the largest triangle = 117 units.
Step-by-step explanation:
Sides of smaller triangle = 10,20 and 15 units
Longest side = 20 units
Longest side of larger triangle = 52 units
Sides of two similar triangles are proportional.
Let k be proportionality constant.
[tex]k=\dfrac{\text{Length in larger triangle}}{\text{Length in smaller triangle}}[/tex]
[tex]k=\dfrac{52}{20}\\\\\Rightarrow\ k=\dfrac{13}{5}[/tex]
Length of other two sides,
[tex]10\times\dfrac{13}{5}, 15\times\dfrac{13}{5}\ i.e.\ 26\text{ units}, 39\text{ units.}[/tex]
So sides of larger triangle = 52 units, 26 units , 39 units
Perimeter of largest triangle = 52 +26+39 = 117 units
Hence, the perimeter of the largest triangle = 117 units.
To find the sum of 4/10 and 3/100 how must 4/10 be expressed before adding it to 3/100
Answer:
It should be expressed as 40/100.
Step-by-step explanation:
The denominators should be equal
ANSWER QUICK I AM GIVING 25 POINTS AND MARKING BRAINLIEST PLEASE HELP THANK YOUUU! no explanation needed btw just tell me a, b, c, or d.
9514 1404 393
Answer:
C. 25/6 ft²
Step-by-step explanation:
Let's call the dimensions of Rectangle B x and y. Then ...
xy = 5 ft²
and
x² = 6 ft²
We want to find the value of y². Solving the first equation for y, then substituting for x², we have ...
y = (5 ft²)/x
y² = ((5 ft²)/x) = 25 ft⁴/x² = 25 ft⁴/(6 ft²)
y² = (25/6) ft² . . . . . . . matches choice C
Which is a correct classification for the triangle?
O equiangular triangle
O right triangle
O acute triangle
O obtuse triangle
Answer:
right angle
Step-by-step explanation:
180-(31+59)= 90
The correct classification of the triangle should be considered as the right triangle.
What is the right triangle?A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangled triangle, is a triangle in which one angle is a right angle, i.e., in which two sides are perpendicular. The relation between the sides and other angles of the right triangle is the basis for trigonometry.
here, we have,
given that,
In the case when the sum the two given angles is 90,
so, the other angle will be 90
so, its a right triangle.
A right angled triangle is a triangle in which one of the angles is 90°. A 90-degree angle is called a right angle, and hence the triangle with a right angle is called a right triangle. Further, based on the other angle values, the right triangles are classified as isosceles right triangles and scalene right triangles.
Hence, The correct classification of the triangle should be considered as the right triangle.
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Please help I don’t understand it’s like angles and stuff picture above.
Answer:
1) 145°
2) 20°
3) x = 7 ; measurement of the missing angle = 24
Step-by-step explanation:
1) supplement = 180°, 180 - 35 = 145
2) complment = 90° , 90 - 70 = 20
3) the figure is a right angle so the measurement is 90°
66 + (4x-4) = 90
62 + 4x = 90
4x = 28
x = 7
4(7) - 4
28 - 4
= 24
Answer: for the 3rd question x = 7
Step-by-step explanation: 4x - 4 + 60 = 90
+4 -66. -66
In Mrs. Burgess' advisory, 18 students saw the action movie and 12 didn't. What is the ratio of students who saw the movie to the total students? Simplify the ratio.
Answer:
18:30 or 9:15 depending on if you need to simplify
Step-by-step explanation:
4x - 10 > 22 or x-5 < -6
I need to know how to do this step by step..
Answer:
x > 3 or x < -1
Step-by-step explanation:
4x - 10 > 22
-10 -10
4x > 12
divide both sides by 4
x > 3
x - 5 < -6
+5 +5
x < -1
Hope this helps!!!
The scale factor from a small triangle ABC to a large triangle XYZ is 5. How many times larger will the perimeter of triangle XYZ be than
the area of triangle ABC?
Answer:
Answer below :)
Step-by-step explanation:
Hi there!
Question 4 - the answer will be 5. Since the scale factor is 5, we would (hypothetically) multiply the area by 5 to get the new area of XYZ, so area XYZ is 5 times the area of ABC.
Question 5 - A.
First we multiply 45 by 12 to find the amount in inches. This is 540. Now, we divide that by 6 to get 90. This is our scale factor in inches, but the answers only show the scale in feet, so we have to convert. Divide 90 by 12 to get 7.5.
I hope this helps!
Solve the inequality. Graph the solution.
−2>m/6−7
Answer:
Step-by-step explanation:
m<30
Write an algebraic expression to model the given context. Give your answer in simplest form. the price p of a coat reduced by a 5% discount
Answer:
We conclude that the expression of the price p of a coat reduced by a 5% discount will be: 0.95 p
Step-by-step explanation:
Let 'p' be the original price
Discount = 5% = 0.05
The discount amount can be calculated by multiplying the original price by 5% or 0.05
Discount Amount = 5% × p
= 0.05 × p
= 0.05 p
Given that the price p of a coat reduced by a 5% discount.
Thus, the price after 5% discount can be calculated by subtracting the discount amount i.e. 0.05 p from the original price p.
Thus,
The expression of the price p after 5% discount = p - 0.05 p
= 0.95 p
Therefore, we conclude that the expression of the price p of a coat reduced by a 5% discount will be: 0.95 p
please help this grade means a lot to me
Answer:
1 is false, 2 true, 3 u answered
Step-by-step explanation:
y=5x+7 and passes through (4,3)
the answer is y=5x-17
How do you get the -17?
Answer:
i do not no i do not no
Step-by-step explanation:
The perimeter of the square park is 240m, then the side of the square park is _______.
Step-by-step explanation:
A square's perimeter consists of 4 equal sides.
Therefore side of square park = 240m/4 = 60m.
Answer:
P = A * 4 => A = P/4 = 240m/4 = 60m
Step-by-step explanation:
The perimeter of a square is the length of the line around the square. The formula for calculating perimeter of a square is as follows: P = A x 4. In which:
P is the perimeter symbol.
A is the length of any one side of the square.
She needs to buy at least 100 chairs. Chairs with arms cost $80. Chairs without arms cost $70. Ms. Robinson can spend, at most, $7,500 on chairs.
Answer:
50 chairs with arms and 50 without arms will cost $7500
Step-by-step explanation:
Create two equations using the given information. The unknowns are :
W = Number of chairs with arms
N = Number of chairs with No arms
First equation (associated with the total number of chairs to buy):
W + N = 100
Second equation (associated with the amount to spend):
80 W + 70 N = 7500
Solving: solve for W in the first equation: W = 100 - N
Use it to substitute for W in the second equation:
80 (100 - N) + 70 N = 7500
8000 - 80 N + 70 N = 7500
subtract 8000 from both sides and combine
- 10 N = - 500
Divide both sides by -10 in order to solve for N
N = -500 / (-10) = 50
Now use this value in the substitution equation to solve for W:
W = 100 - 50 = 50
So the person can buy 50 chairs with arms and 50 chairs without arms paying for them $7,500.
In ΔEFG, e = 1.4 cm, f = 5.2 cm and ∠G=7°. Find the length of g, to the nearest 10th of a centimeter.
Answer:
3.8
Step-by-step explanation:
delta math gave up