Answer:
17.708333% increase
Step-by-step explanation:
To find the percent increase take the new price and subtract the old price
5650-4800
850
Divide by the old price
850/4800
0.177083333
Change to percent form
17.708333% increase
What is the circumference os the circle shown below? (Round your answer to the nearest tenth.)
Answer:
Option C(66.0)
Step-by-step explanation:
C = 2πr
C=Circumference
π=3.14(pi)
r=radius
C=2x3.14x10.5
3.14x10.5=32.97
32.97x2=65.94
65.94 rounded to nearest tenth is 65.9, so basically 66.0.
When the length of each side of a square is increased by 5 cm, its area is increased by 895 cm2. Find the length of a side before the increase.
The length of a side before the increase is...
Answer:
Step-by-step explanation:
Increasing the side length by 5 is represented as s + 5. To get the area of a square we multiply side times side: [tex](s+5)^2=s^2+10s+25[/tex]
The area of a square is s². If we are increasing this area s² by 895, then to represent this we have s² + 895.
Put that together into an equation:
[tex]s^2+10s+25=s^2+895[/tex] and simplify to
10s = 870 so
s = 87
Let's check that. The area before the addition to the side is 87*87 = 7569; the area after the addition of 5 cm is 92*92 = 8464. The difference is
8464 - 7569 = 895 so we did good!
A high school coach wants to buy new athletic shorts for the 15 members of the basketball team. The coach must spend less than $200 on the shorts. Which inequality represents the maximum cost of each pair, s, the coach can buy?
Answer:
A. 15s < 200
Step-by-step explanation:
Which inequality represents how many pairs of shorts, s, the coach can buy?
A. 15s < 200
B.15s > 200
C. 15s <(with line under)200
D 15s >(with line under)200
Let
s = cost of eat short
Number of students (Short) = 15
Less than (<)
The inequality:
Number of short * cost of each short < $200
15 * s < 200
15s < 200
s < 200/15
s < $13.333333333333
Answer:A. 15s < 200
Step-by-step explanation:A. 15s < 200
What is the solution to the linear equation?
d – 10 – 2d + 7 = 8 + d – 10 – 3d
(need answer asap)
Answer:
-10 -2d+7=8-10-3d
-2d + 7 =8 -3d
-2d + 7 =3d = 8
-2d + 3d = 8-7
d=8-7
d=1
Answer:
[tex]d = 1[/tex]
Step-by-step explanation:
Step 1: Combine like terms
[tex]d - 10 - 2d + 7 = 8 + d - 10 - 3d[/tex]
[tex](d - 2d) + (-10 + 7) = (8 - 10) + (d - 3d)[/tex]
[tex](-d) + (-3) = (-2) + (-2d)[/tex]
Step 2: Add 2d to both sides
[tex]-d + 2d - 3 = -2 - 2d + 2d[/tex]
[tex]d - 3 = -2[/tex]
Step 3: Add 3 to both sides
[tex]d - 3 + 3 = -2 + 3[/tex]
[tex]d = 1[/tex]
Answer: [tex]d = 1[/tex]
The fitness center held a weight loss competition in which 128 people participated. The amount of weight loss was normally distributed with a mean of 18 pounds and a standard deviation of 5.4 pounds. Approximately how many people lost at least 15 pounds?
Answer:
37
Step-by-step explanation:
Given :
Sample size, n = 128
Mean, μ = 18
Standard deviation, σ = 5.4
Number of people who lost atleast 15 pounds :
The Zscore = (x - μ) / (σ)
Zscore = (15 - 18) / 5.4
Zscore = - 3 / 5.4
Zscore = - 0.5555
P(Z < - 0.555) = 0.28945
Number of people who lost atleast 15 pounds :
0.28945 * 128 = 37.0496
= 37 people
find the missing length indicated.
Answer:
Step-by-step explanation:
x is the geometric mean because it is a part of both the small triangle on the left (with base 81) and the whole triangle (with base 225). Setting up the geometric means formula:
[tex]\frac{81}{x}=\frac{x}{225}[/tex] and cross multiply to get
[tex]x^2 =18225[/tex] so
x = [tex]\sqrt{18225}[/tex] and
x = 135
Use the order of operations to simplify this expression. Express your answer in simplest form.
1/2+2/3÷ 5/9
Answer:
1/4/3÷5/9
1/4/3÷9/5
1/4/3/5
There is currently a linear bike path that goes through the points (4, 0) and (7, 4). The park commission is planning to build a new bike path that is parallel to the old one that passes through the point (2, 5).
Answer:
y = 3/4x +7/2
Step-by-step explanation:
slope of line = difference of 2nd x value - 1st x value/ 2nd y value - 1st y value
x difference /y difference = 3/4 = slope
y = 3/4x
to find y-intercept, add a variable
y = 3/4x + B
then add the first x and y value point numbers into equation
0 = 3/4(4) + B
-3 = B
put back B into equation.
y = 3/4x - 3 which is the linear path the biker is going
now you can use another variable to find the new bike path
y = 3/4x + A
plug in the x value 2 and y value 5 from (2,5)
5 = 3/2 + A
A = 7/2
there-fore the new line which is parallel to the old line is:
y = 3/4x +7/2
Which is a pair of vertical angles?
∠VRU and ∠SRT
∠TRS and ∠VRW
∠TRV and ∠WRU
∠WRV and ∠SRW
Answer: ∠TRS and ∠VRW (Choice B)
========================================================
Explanation:
Ignore ray RU. I would redraw the entire thing without ray RU as part of the picture. See below.
Notice how lines TW and SV intersect to form an X shape.
The angles TRS and VRW shown in red are opposite one another, so we consider them to be vertical angles. Vertical angles are always congruent.
Answer:
B ∠TRS and ∠VRW
Step-by-step explanation:
please help what is the answer?
Answer:
12
Step-by-step explanation:
The altitude divides the hypotenuse into parts using this proportion
6/n = n / 18 Cross multiply
n^2 = 6 * 18
n^2 = 108
n = sqrt(108)
n = sqrt(4 * 9 * 3)
n = 2*3 *sqrt(3)
n = 6*sqrt(3)
Now use Pythagoras to get m. m is the hypotenuse of the small triangle on the left
m^2 = n^2 + 6^2
m^2 = 6^2 *sqrt(3)^2 + 36
m^2 = 36*3 + 36
m^2 = 108 + 36
m^2 = 144
m = sqrt(144)
m = 12
Se preguntó a 44 estudiantes por el tiempo, medido en minutos, que tardan en
llegar a su sitio de estudio. Las respuestas obtenidas fueron: 15,20,17,24,45,40,35,39,46,44,50,47,42,40,38,30,35,45,35,45,35,37,47,48,58,55,38,37,40,43,40,39,45,48,50,35,20,57,55,56,47,43,37,34,50,60
a) Clasifique la variable y construya la
TDF correspondiente al histograma.
b) Realice 4 interpretaciones de los
datos condensados en la TDF del punto a).
c) Realice el histograma, el polígono de
frecuencias y la ojiva de esta variable.
Answer:
sdfghjkl
Step-by-step explanation:
Please anyone help me
If die is rolled two times, find the probably of getting "1'twice.
Math Answer[tex] {1}\{36} [/tex]
Feel fre e too ask me
Please understand it
#BrainliestBunch
In a 100 metre race, the time of the winner was 10. 57 seconds and the time of the athel athlete who came third was 10. 64 seconds Write down a possible time for the athlete who came Second
Answer:
10.61
Step-by-step explanation:
Manuel y Sara recorren cierta distancia, y los tiempos que emplean están en la razón 21 / 15 . La velocidad de Manuel es de 56km/h. ¿Cuál es la velocidad de Sara?
Answer:
The speed of Sara is 78.4 km/h.
Step- by-step explanation:
Manuel and Sara travel a certain distance, and the times they use are in the ratio 21/15. Manuel's speed is 56km / h. What is Sara's speed?
Let the distance is d.
speed of Manuel = 56 km/h
time taken by Manuel = 21 t
time taken by Sara = 15 t
Let the speed of Sara is v.
Distance = speed x time
For Manuel:
d = 56 x 21 t ..... (1)
For Sara:
d = v x 15 t ..... (2)
From (1) and (2)
56 x 21 t = v x 15 t
v = 78.4 km/h
Please help me!!!!! You have to match the slope of each line
Answer:
it would be line to zero slope that's all I can do for u pal maybe..
I need answer LOL :(
Which expression represents the number of apples Johnny has?
Johnny picks 14 apples and gives some to his friends.
Answer:
Step-by-step explanation:
Let the number of apples given to his friends = x
To represent the number of apples Johnny has, subtract the apples given to his friends from 14
Number of apples with Johnny = 14 - x
Find the area of the parallelogram. 7 in. 12 in. [ ] Area = [?] in.
Answer:
Area= Base x height
Area= 7 x 12 inch
Area= [tex]84inch^{2}[/tex]
Brainliest please
The number of days (d) is equal
to the dividing of the number of hours (h) and 24.
A. d = h - 24
B. h = 24 d
C. h = 24-h
D. h = 24 + h
Answer:
B
Step-by-step explanation:
[tex]d \: = \frac{h}{24} [/tex]
[tex]h \: = 24d[/tex]
The ratio of parents, students and teachers is
21:3:6.
What proportion of the total is parents?
GIVE ANSWER IN PERCENTAGE.
Answer:
Answer
Step-by-step explanation:
21+3+6
= 30
Ratio of parents = 21
10% of 30 = 30/10
= 3
21 is __% of 30
= 21/30 * 100
= 0.7 * 100
= 70%
Negative 2 (x + 5) = negative 2 (x minus 2) + 5 What is the solution to Yuto's equation? –10 9 no solution infinitely many solutions
the sum of two positive consecutive integers is x. in terms of x, what is the value of the smaller of these two integers?
Answer:
In terms of x, the smaller integer is (x - 1)/2
Step-by-step explanation:
Two consecutive positive integers can be written as:
n and (n + 1)
Where n is an integer and:
n > 0.
notice that the smaller of the two integers is n.
We know that the sum of these two integers is equal to x, then:
n + (n + 1) = x
we can rewrite this as:
2n + 1 = x
solving this for n (the smaller of the two integers) we get:
2n = x - 1
n = (x - 1)/2
In terms of x, the smaller integer is (x - 1)/2
find the sum or difference of the polynomials. Write your answer in descending
order.(-3x2 + 2x + 1) + (-8x2 + 3x + 2)
i think by x2 you meant x²
(-3x² + 2x + 1) + (-8x² + 3x + 2)
-11x² + 5x + 3
Please help me multiply this
Answer:
(x-4y)(x-3y) ÷(x+8y)(x-8y)×(x+8y)÷3(x-3y)
=3(x-4y)÷(x-8y)
Find y.
PLEASE HELP ASAPPPP
Answer:
y = 4
Step-by-step explanation:
[tex]\frac{sin(90)}{4\sqrt{2} } = \frac{sin(45)}{y}[/tex]
Answer:
y = 4
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{4\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
y × [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )
y = 4
what are the points for the equation y +2 = - 3/4 (x+4)
Answer:A(1,-5)
B(6,-8)
Step-by-step explanation:
Please help me solve this question
Answer:
A = 16 units²
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
The right triangle on the left is a 3- 4- 5 ( Pythagorean triple )
Then b = 4 and h = 4 , so
A = 4 × 4 = 16 units²
Can someone help me with this math homework please!
Answer:
- 2 / 7
Step-by-step explanation:
Let,
x1 = 7
x2 = 14
y1 = 2
y2 = 0
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope
= ( 0 - 2 ) / ( 14 - 7 )
= - 2 / 7
[tex]slope \\ = \frac{Δy}{Δx} \\ = \frac{(4 - 2)}{(0 - 7)} \\ = \frac{2}{ - 7} \\ \\ so \: the \: slope \: is \: \frac{2}{ - 7}.[/tex]
This is the answer.
Hope it helps!!
What is the simplified form of the following expression?
5 58-18-2-82
02.12
o 5.82
o 9.2
O 152
Answer:
[tex]5 \sqrt{2} [/tex]
Which division is shown by the model?
Step-by-step explanation:
where the model step by step explanation