Answer: D) 10 jerseys
Step-by-step explanation:
Let j represent the number of jerseys and C for total cost
Local company eqn: C = 5.25j + 45
Online company eqn: C = 7.75j + 20
Set both sides equal to solve:
5.25j + 45 = 7.75j + 20
5.25j - 7.75j = 20 -45
- 2.5j = -25
[tex]\frac{-2.5j}{-2.5}=\frac{-25}{-2.5}[/tex]
j = 10
Therefore, the cost is the same for both companies when 10 jerseys are sold
Using Trig to Find a Side
The value of the length x in a given triangle by using the trigonometry formula would be 9.6 units.
Given that,
A triangle UVW is shown in the image with sides and angles,
vw = 6.4
uv = x
And, ∠wuv = 42°
Used the trigonometry formula which states that,
[tex]\text{ sin x} = \dfrac{\text{ Opposite}}{\text{ Hypotenuse}}[/tex]
Here, we have;
An angle ∠wuv = 42°.
So, we get;
[tex]\text{ sin 42} = \dfrac{\text{ vw}}{\text{ uv}}[/tex]
Substitute given values,
[tex]\text{ sin 42} = \dfrac{\text{ 6.4}}{\text{ x}}[/tex]
Since, sin (42°) = 0.67
Hence,
[tex]0.67 = \dfrac{6.4}{x}[/tex]
Multiply by x on both sides,
[tex]0.67 \times x = 6.4[/tex]
Divide both sides by 0.67, we get;
[tex]x = \dfrac{6.4}{0.67}[/tex]
[tex]x = 9.55[/tex]
Round to the nearest tenth,
[tex]x = 9.6[/tex]
So, the value of x is 9.6 units.
To learn more about the triangle visit;
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Choose the angle which is represented by the name.
R
Answer:
Option B
Step-by-step explanation:
Angles can be named by only the middle point's name. Option B would be correct in this case, because the point in the center of the angle is point R.
Jonita determined that the distance between her apartment and the nearest hospital was more than 1,600 meters but less than 1,900 meters. Which of the following could be a reasonable estimate for
the distance between her house and the hospital?
O 1.7 x 102 meters
O 1.8 x 103 meters
O 1.7 x 10-3 meters
O 1.8 x 10-2 meters
Answer: 1.8 x 103 meters
Step-by-step explanation:
The average of the two extremes is 1,700 meters. This would be 1.7x10^3 in scientific notation. None of the four options include this number. But three stand out as total losers. We can convert the answer options to see the difference:
O 1.7 x 102 meters = 170 meters [Loser]
O 1.8 x 103 meters = 1800 meters
O 1.7 x 10-3 meters = 0.0017 meters [Loser]
O 1.8 x 10-2 meters = 0.018 meters [Loser]
the set $s = \$ contains the first $50$ positive integers. after the multiples of 2 and the multiples of 3 are removed, how many integers remain in the set $s$?
Clearly, |S| = 50.
Count the multiples of 2 between 1 and 50:
⌊50/2⌋ = ⌊25⌋ = 25
(where ⌊x⌋ denotes the "floor of x", or the largest integer that is smaller than or equal to x; in other words, round down to the nearest integer)
Count the multiples of 3 between 1 and 50:
⌊50/3⌋ ≈ ⌊16.667⌋ = 16
Since LCM(2, 3) = 6, the sets of multiples of 2 and multiples of 3 have some overlap. Count the multiples of 6 between 1 and 50:
⌊50/6⌋ ≈ ⌊8.333⌋ = 8
Then by the inclusion/exclusion principle, we remove from S
25 + 16 - 8 = 33
elements, so that the new set S contains 50 - 33 = 17 elements.
what is the length of XY
Answer:
15
Step-by-step explanation:
What is 1+1 equal? Explain in paragraph form! 5 or more sentences!
Solve by elimination show each step will rate you 5 stars
Answer:Multiply X + Y by -6 so you can cancel 6x by -6x. Then you get 3y+24. Then divide by 3 and get Y=8 Then solve for X. Use one of the equations and solve for X. I would do X+8=16. Then minus 8 and get 8. So X=8
Step-by-step explanation:
With that being said the coordinate pair would be (8,8)
Need help doing this
Answer:
huh I'm confused I dont know
does (0,0) make the equation y = x true
Which expression is equivalent to (15aºb²c34) (3a166-29cº) for all values of a, b, and
c where the expression is defined?
The answer is 45a16c34b27
Which relation is a function?
Answer:
only the v-shaped graph is a function
Step-by-step explanation:
the circle, the vertical line, and the sideways parabola would not pass the 'vertical line test' which is where, if a vertical line is drawn through the graph then the line would not intersect the graph in more than one point
A potter makes cups and saucers in a factory. He is paid $1.44 per
batch of cups and $1.20
per
batch of saucers. What is his gross pay if
he makes 9 batches of cups and 11 batches of saucers in one day?
Answer:
4
Step-by-step explanation:
Help me, please! I'll give 20 points.
Answer:
A = 97.5
Step-by-step explanation:
Since A & B are supplementary, the general equation would be:
180 - 82.5 = A
A = 97.5
Which statement is true when looking at a black ball?
Answer:
Only the primary color wavelengths are being absorbed by the ball.
Answer:Which statement is true when looking at a black ball?
Group of answer choices
Only the primary color wavelengths are being reflected by the ball.
All color wavelengths are being reflected by the ball.
All color wavelengths are being absorbed by the ball.
Only the primary color wavelengths are being absorbed by the ball.
Step-by-step explanation:
Help me please ;-;
For the function y = 4x – 2, what is the value of the function when x is equal to -3?
A. -10
B. 14
C. -14
D. 10
Answer:
-14
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
y=4x - 2 x= -3
y=4(-3) - 2
y= -12 - 2
y= -14
What is the distance between -9and -2 on the number line
Answer:
7 units
Step-by-step explanation:
Calculate the distance using the absolute value function
| - 9 - (- 2) | = | - 9 + 2 | = | - 7 | = 7
or
| - 2 - (- 9) | = | - 2 + 9 | = | 7 | = 7
What is the volume of a pencil
10. Mrs. Taylor wants to lay new carpet in the entrance and hallway of her home as shown below. The carpet she selected sells for $2.50 a square foot. How much will it cost to lay the carpet in the entrance and hallway?
. What is the fraction form of $0.25?
Answer:
1/4
Step-by-step explanation:
Since 0.25 is 1/4 of 1
1. You are setting up a shelf display filled with present
boxes and other decor. Each shelf has a length of 116
inches and a width of 30 inches. If there are 5 shelves,
what is the total area you can use for the decor?
2. Buddy is figuring out how long his snowflake chain
around the whole store needs to be. Use the diagram
below to find the perimeter of the store! Type your
work and solution in the box under the diagram.
Answer:
1. 17,400 in²
2. ???
Step-by-step explanation:
1. If the the length of each shelf is 116 inches and the width is 30 inches then 1 shelf has 3480 in² of space. Since that's for 1 shelf and we have 5 shelves you multiply 3480 by 5 to get 17400.
2. You didn't give any diagram so I can't really help here but just add up all the side of the shape it gave you. You'll probably have to do some math to find missing sides.
Plz Heeeeelp! 25 POINTS! I'm so desperate I made two of these worth 25 points!
Answer:
The answer is B, f(x)=5(2/5)^(z)
Step-by-step explanation:
I did the graphs for all of them and graph B was identical to the one in the picture.
Answer:
(b) f(x) = 5(2/5)^x
Step-by-step explanation:
All of the offered choices agree that the multiplier of the exponential factor is 5. When x=1, the exponential factor must have a value of 2/5 in order to make the function value be 2 at that point.
That is, ...
f(1) = 5(2/5)^1 = 5(2/5) = 2
You can get there either by using x=1 in each of the offered answer choices, or by observing that the ratio between f(1) and f(0) is 2/5.
f(x) = 5(2/5)^x
Suppose that 600 yards of fencing material are available to fence in
two adjacent rectangular corrals sharing a common fence. Find the
dimensions of the corrals that will enclose a maximum area (Please help)
Answer:
Length = 150 yards
Width = 100 yards
Step-by-step explanation:
We want 600 yards of fencing that will result in the largest 2 fenced corrals, sharing a common border.
It will take the shape of a rectangle, with a dividing fence down the center.
Let W and L, Width and Length of the larger enclosure.
See attachment.
W= Area of the larger enclosure.
The perimeter is 2W + 2L.
The dividing fence is 1W
We know that we only have 600 yards of fence, so:
2W + 2L + 1W = 600 yards
Area = W x L
---
3W + 2L = 600 (yards)
2L = 600 -3W
L = (600-3W)/2
L = 300 -(3/2)W
---
Use this expression in the Area calculation:
Area = W x L
Area = W x (300 -(3/2)W)
Area = 300W -(3/2)W^2)
To find the maximum area, take the first derivative and set to zero to find the value of W that results in the greatest area.
Area' = 300 -2(3/2)W)
0 = 300 - 3W
3W = 300
W = 100 yards
Since 3W + 2L = 600
L = (600 - 3W)/2
L = (600 - 3(100))/2
L = 150 yards
Area = 150*100 = 15,000 yards^2
PLS HELP ME I'M SO CONFUSED!!!!!!
Answer:
a = -3, b = 2.5, c = - 1/2Step-by-step explanation:
1)
[tex]3^a=1/27[/tex][tex]3^a=1/3^3[/tex][tex]3^a=3^{-3}[/tex][tex]a=-3[/tex]2)
[tex]3^b=9\sqrt{3}[/tex][tex]3^b=3^2*3^{1/2}[/tex][tex]3^b=3^{2+1/2}[/tex][tex]3^b=3^{2.5}[/tex][tex]b=2.5[/tex]3)
[tex]3^c=1/\sqrt{3}[/tex][tex]3^c=1/3^{1/2}[/tex][tex]3^c=3^{-1/2}[/tex][tex]c = - 1/2[/tex]If the original quantity is 10 and the new quantity is 3, what is the percent increase?
Answer:
30% Increase
Step-by-step explanation:
We Know 3 is 30% of 10 and 10+3=13 so we know that 13 is a 30% increase of 10.
Hopes This Helps :)
How i can usea the distribute property on this equation?
Answer:
9(3-2r)
Step-by-step explanation:
27-18r the greatest common factor between 27 and 18 is 9. therefore, we can factor 9 out.
9(3-2r)
Hope this helps.
Answer:
9(3-2r)
Step-by-step explanation:
ANS WER AS SOON AS POSSIBLE
AND I WILL MARK U AS BRAINLIST
Answer:
False
Step-by-step explanation:
use PEMDAS.
since there is no perenthesis you start with exponents.
10^5=100000
10^2=100
6*100,000+6*100
Next, you go to multipliation
600,000+600
Finally, you move on to addition
600,600
which expression is equivalent 2(t-4)+1?
Answer:
(Answer below)
Step-by-step explanation:
2t - 8 + 1
this is the expanded form of 2(t-4)+1 therefore, it is the same as 2(t-4)+1
how I got this: 2 x t = 2t 2 x 4 = 8 2t + 8 +1
Given each function and domain, find the range values. y=3/5x+2; domain: {-10,0,5}
Given the function
[tex]y=\dfrac{3}{5}x+2[/tex]
and its domain [tex]\{-10,0,5\}[/tex], its range is [tex]\{-4,2,5\}[/tex]
The domain of a function is the set of all possible values that we can input to the function.
The range of a function is the set of all possible values that a function can output.
For the function
[tex]y=\dfrac{3}{5}x+2[/tex]
if the domain is the set [tex]\{-10,0,5\}[/tex], we can get the range by substituting each value in the domain into the function. The resulting set of values gives the range of the function.
The range will then be
[tex]\left\{\dfrac{3}{5}(-10)+2, \dfrac{3}{5}(0)+2,\dfrac{3}{5}(5)+2\right\}\\\\=\left\{3(-2)+2, 3(0)+2, 3(1)+2\right\}\\\\=\left\{-4, 2, 5\right\}\\\\[/tex]
Learn more about function domain and range here https://brainly.com/question/13824428
A fast food place was selling 5 boxes of chicken nuggets for 25.50 a competing restaurant was selling 1 box of chicken strips for 5.50 which is better priced per box, 5 boxes chicken nuggets for 25.50 or 1 box of chicken strips for 5.50
Answer:
The chicken which is sold for 5 boxes for 25.50 is better priced.
Step-by-step explanation:
If you buy five boxes of the chicken from the place where it is 5.50 a box, buying five will be 27.50, which costs more than the place with the 25.50 price for five boxes.
Need some help on this question please
[tex]2(4x+1)<3(2x-3)\\\\\implies 8x +2 < 6x -9\\\\\implies 8x <6x -9 -2\\\\\implies 8x -6x < -11\\\\\implies 2x<-11\\\\\implies x< -\dfrac{11}2\\\\\\\text{Interval,} ~ \left(-\infty, -\dfrac{11}2 \right)[/tex]
Answer:
x<3.5
Step-by-step explanation:
multiply 2 with 4x and 1 to get 8x + 2 < 3(2x-3). Then multiply 3 by 2x and -3 to get 8x + 2 < 6x- 9. Then subtract -6x on both sides to get 2x + 2< -9. Next subtract 2 from -9 so x is by itself and then you get 2x < 7. Finally divide 2 on each side so you leave x byitself completely. You get x > 3.5
I hope u get it right!