Reuben made $247 for 13 ours of work.
At the same rate, how many hours would he have to work to make $171 ?
pls help!!!
Answer:
9 hours
Step-by-step explanation:
We can use a ratio to solve
247 dollars 171 dollars
---------------- = -------------
13 hours x hours
Using cross products
247* x = 13*171
247x =2223
Divide each side by 247
247x/247 =2223/247
x=9
What is the x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5? 3 2- 1- X = { m m + n ] (x2 – xa) + x3 3 6 7 8 9 10 11 x -9-8-7-6-5-4-3-2-11- -2 J (6-2) -4 -2 2 -6 -7 -8 K(8-9) 29 -10 -11 -12 -13
Answer:
Step-by-step explanation:
The x-coordinate of the point that divides the line segment will be -2. Then the correct option is B.
What is the section of the line?Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point P (x, y) divides the line segment in the ratio of m:n. Then we have
x = (mx₂ + nx₁) / (m + n)
y = (my₂ + ny₁) / (m + n)
The two endpoints are (-6, -2) and (8, -9). And m: n = 2: 5. Then the value of the x-coordinate is calculated as,
x = (2 · 8 + 5 · -6) / (2 + 5)
x = (16 - 30) / (7)
x = - 14 / 7
x = - 2
The x-coordinate of the point that divides the line segment will be -2. Then the correct option is B.
More about the section of the line link is given below.
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MARCELA MORA A 540m DA CASA DE SUA AVÓ. SE ELA CAMINHA COM PASSADAS QUE MEDEM 4/10 DE METRO, QUANTOS PASSOS ELA DARÁ PARA IR DE SUA CASA ATÉ A DA SUA AVÓ
Answer:
Number of step Marcela walk = 1,350 steps
Step-by-step explanation:
Given:
Distance between Marcela house and grandmother house = 540 meter
Each step of Marcela = 4/10 meter
Find:
Number of step Marcela walk
Computation:
Number of step Marcela walk = Distance between Marcela house and grandmother house / Each step of Marcela
Number of step Marcela walk = 540 / (4/10)
Number of step Marcela walk = 540 / 0.4
Number of step Marcela walk = 1,350 steps
What is the Radius of a circle if a 16 unit chord is 6 units from the center of the circle
Answer:
radius = 10 units
Step-by-step explanation:
using the Pythagorean theorem:
height of triangle = 6 units
base of triangle = 16/2 = 8 units
radius² = 6² + 8² = 36 + 64 = 100
radius = √100 = 10 units
Which value of x makes x-3/4 + 2/3=17/12 true?
Answer:
x = 3/2
Step-by-step explanation:
x- 3/4 + 2/3 = 17/12
x = 17/12 + 3/4 -2/3
x = 3/2
the mean of "n" numbers is "x" . if one more is added the mean is "y" . write an algebraic expression for the value of the number added?
Answer:
yn +y -xn
Step-by-step explanation:
Mean= sum of numbers ÷number of numbers
x= sum of n numbers ÷n
Multiply both sides by n:
xn= sum of n numbers
sum of n numbers= xn -----(1)
Let the number added be a.
After a has been added,
y= (sum of n numbers +a) ÷(n+1)
Multiply both sides by (n +1):
y(n +1)= sum of n numbers +a
sum of n numbers= y(n +1) -a -----(2)
Substitute (1) into (2):
xn= y(n +1) -a
Expand:
xn= yn +y -a
a= yn +y -xn
Let's check!
Let the numbers be 1, 2, 3 and 4.
mean, x= 10 ÷4= 2.5
n= 4
Let the new number added, a, be 7.
a= 7
mean, y= 17 ÷5= 3.4
a= yn +y -xn
a= 3.4(4) +3.4 -2.5(4)
a= 7
Thus, the expression is true.
2x-y=4
X and y intercept?
Answer:
x=2 y=-4
Step-by-step explanation:
2x-y=4 solve for x
2x-0=4
2x=4+0
2x=4 . divide both sides by 2
x=2
2x-y=4 . solve for y
0-y=4
-y=4 . divide both sides by -1
y=-4
A major car manufacturer wants to test a new engine to determine if it meets new air pollution standards. The mean emission, μ, of all engines of this type must be approximately 20 parts per million of carbon. If it is higher than that, they will have to redesign parts of the engine. Ten engines are manufactured for testing purposes and the emission level of each is determined. Based on data collected over the years from a variety of engines, it seems reasonable to assume that emission levels are roughly Normally distributed with σ = 3 parts per million of carbon. What are the appropriate null and alternative hypotheses?
Answer:
Step-by-step explanation:
the appropriate null and alternative hypotheses's are something
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Juan is debating whether or not to continue the recent lunch special promotion at his restaurant. The following graph shows the profit earned, y, from the number of lunch specials ordered per hour, x.
Use the graph to complete the following statements. If necessary, round to the nearest whole number.
The maximum profit earned from lunch special orders per hour is about $_____.
The restaurant will break even if ______ lunch specials are ordered.
Answer:
It is given that y represents the profit earned, and x represents the number of lunch specials ordered at Juan's restaurant per hour.
To determine the maximum profit Juan's restaurant will earn from lunch specials, estimate the highest y-value from the graph. From the graph, it can be seen that the maximum y-value is halfway between 110 and 120. So, the maximum profit Juan's restaurant will earn from lunch specials per hour is about $115.
Next, to determine when the restaurant will break even, observe the x-value when y = 0. It can be seen that graph crosses the x-axis in two places, when x = -5 and x = 10. Since x represents the number of lunch specials ordered, the x-value must be positive. So, the restaurant will break even after 10 lunch specials are ordered.
Lastly, to determine the interval on which the restaurant makes a profit, observe from the graph where the values of x and y are positive. So, the interval on which the restaurant makes a profit is (0, 10).
Step-by-step explanation:
115, 10, (0,10)
^those are the answers
The maximum profit earned from lunch special orders per hour is about [tex]\$ 112.5[/tex]. The restaurant will break even if [tex]10[/tex] lunch specials are ordered.
What is profit?Profit is the amount which we earned after selling something more that its cost price.
We have,
Profit earned [tex]=y[/tex],
The number of lunch specials ordered per hour [tex]=x[/tex]
Now,
From the graph,
Profit(y) [tex]=a(x+5)(x-10)[/tex]
[tex]y=a[x^2-10x+5x-50][/tex]
[tex]y=a[x^2-5x-50][/tex]
Now,
When [tex]x=0[/tex] ,
then,
[tex]y=-50a[/tex] [tex].....(i)[/tex]
And,
From graph When [tex]x=0[/tex] ,
[tex]y=100[/tex] [tex].....(ii)[/tex]
So, from above equations ,
[tex]-50a=100[/tex]
[tex]a=-2[/tex],
Now,
[tex]y=a[x^2-5x-50][/tex]
Substituting value of a,
[tex]y=[-2x^2+10x+100][/tex]
[tex]y=[-2(x^2-5x)+100][/tex]
[tex]y=[-2(x^2-5x-(\frac{5}{2})^2 )+100+2(\frac{5}{2})^2][/tex]
[tex]y=[-2(x-\frac{5}{2} )^2+112\frac{1}{2}[/tex]
So,
Now
The maximum profit will be ,
From graph,
When [tex]x=\frac{5}{2} = 2.5[/tex]
So,
Putting value of x,
We get,
[tex]y=112.5[/tex]
So, the maximum profit earned from lunch special orders per hour is about [tex]\$ 112.5[/tex].
Now,
When [tex]y=0[/tex] then [tex]x=-5[/tex] or [tex]x=10[/tex]
As [tex]x > 0[/tex]
So,
The restaurant will break even if [tex]10[/tex] lunch specials are ordered.
Hence we can say that the maximum profit earned from lunch special orders per hour is about [tex]\$ 112.5[/tex]. The restaurant will break even if [tex]10[/tex] lunch specials are ordered.
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1. Select all the expressions that are equivalent to 4 - x
4 + x
-4 + x
-x + 4
x - 4
4 + -x
Answer:
I think this is the answer
4+–x
–x+4
Write 7^5 in expanded form
Please I need an answer ASAP
Answer:
7 *7*7*7*7*7
* means times
Step-by-step explanation: Anything with a power is the base or big number times itself times the amount of the exponent little number
example 5^2
5*5
What is the probability of rolling a number less than 4 on a number cube labeled 1 through 6?
A. 1/6
B. 1/3
C. 1/2
D. 2/3
Answer:
The answer is B. 1/3
Step-by-step explanation:
Hope this helps! :)
-------------------------------------
helpppppppppppppppppppppppppp
Answer:[tex]\left[\begin{array}{ccc}-16&15\\-11&1\\15&-15&\end{array}\right][/tex]
Step-by-step explanation:
-3A + 2B
=[tex]\left[\begin{array}{ccc}-12&3\\-15&-9\\21&-15\end{array}\right][/tex] [tex]+ \left[\begin{array}{ccc}-4&12\\4&10\\-6&0\end{array}\right][/tex] [tex]=\left[\begin{array}{ccc}-16&15\\-11&1\\15&-15&\end{array}\right][/tex]
5. Twenty volunteers with high cholesterol were selected for a trial to determine
whether a new diet reduces cholesterol. The volunteers were given a low-carb,
low-calorie diet. After 8 weeks of the diet, the average cholesterol of the
volunteers dropped a significant amount. This study is an example of
(A) A controlled experiment.
(B) An uncontrolled experiment.
(C) A double blind experiment.
Ablocked design experiment.
Answer:
(B) An uncontrolled experiment.
Step-by-step explanation:
In the case of an uncontrolled experiment here all participants are provided the similar treatment and there should be no comparison oppose to any group i.e. controlled
Since in the given situation, there are similar diets are provided to 20 volunteers and it can be that the cholesterol level is decreased after particular time period,
Hence, it is an uncontrolled experiment.
Thus, option B is correct.
Find the value of cos 0 , If sec 0 = 3/2 0 < 90
Answer:
Step-by-step explanation:
cos theta is 2/3 because cos means reciprocal of sec
Answer:
option C
Step-by-step explanation:
[tex]sec\theta = \frac{1}{cos\theta}\\\\\frac{3}{2}= \frac{1}{cos\theta}\\\\cos\theta = \frac{1}{\frac{3}{2}} = \frac{2}{3}[/tex]
Check all of the functions that are odd.
f(x)=x3-x2
f(x)=x5-3x3+2x
f(x) = 4x + 9
f (x) = StartFraction 1 Over x EndFraction
Answer:
second and fourth
Step-by-step explanation:
answered the question
A cuboid has 4 rectangular faces and 2 square faces. Each rectangular face measures 8 cm by 6 cm. Find the two possible values for the surface area of the cuboid.
pls give me answer with steps
Answer:
320 cm² or 264 cm²
Step-by-step explanation:
first, the rectangular face area is 4 faces at 8 x 6 = 192 cm²
the 2 square faces will be either 8 x 8 or 6 x 6.
If 8 x 8, then the SA will be 192 + (2 x 8 x 8 ) = 320 cm²
If 6 x 6, then the SA will be 192 + (2 x 6 x 6 ) = 264 cm²
Find the measure of the missing angles.
g=
h=
k=
m=
YOU WILL GET MARKED BRAINLIEST :) IF YOU ANSWER QUICK (no files) .
Answer:
snsnnskskswwiwjwassnssjsjs
Simplify the expression below. (2y+1)^2-4y^2+2
A. 4y+3
B. 2y+3
D. -1
Answer:
4 y + 3
Step-by-step explanation:
y = -3/4
d/dy((2 y + 1)^2 - 4 y^2 + 2) = 4
Indefinite integral:
integral(2 - 4 y^2 + (1 + 2 y)^2) dy = 2 y^2 + 3 y + constant
determine the constant in each algebraic expression
Steps for solving 5(2x - 8) = 20 are shown. 5(2x-8)= 20 10x - 40 = 20 10x - 40+ 40 = 20 + 40 10x = 60 10x 60 10 10 x = 6 Original Equation Which of these is not part of the solution process?
Answer:
(d) Using the commutative property
Step-by-step explanation:
Given
The above steps
Required
Which is not part of the process
We have:
[tex]5(2x-8)= 20[/tex]
[tex]10x - 40 = 20[/tex]
[tex]10x - 40+ 40 = 20 + 40[/tex]
[tex]10x = 60[/tex]
[tex]\frac{10x}{10} = \frac{60}{10}[/tex]
[tex]x = 6[/tex]
Comparing the above steps with the given list of options, we can see that the commutative property is not applied at all.
Other properties are:
[tex]5(2x-8)= 20[/tex] ---- Distributive
[tex]10x - 40+ 40 = 20 + 40[/tex] ---- Like terms
[tex]\frac{10x}{10} = \frac{60}{10}[/tex] --- Isolating the variable
Solve for x.
1/3 (3/2x-3)=-5/6x
Answer: Hello
Step-by-step explanation: The answer is
1/3 (3/2 x -3) = -5/6x
Answer: x=3/4
Hope This Helps!
Answer:
x=3/4
Step-by-step explanation:
1/3 times 3/2 x is 1/2x
1/3 times -3 is -1
1/2x-1=-5/6x
1/2 is equal to 3/6
-1=-5/6x-3/6x
-1=-8/6x
x=6/8
x=3/4
answer please thanks
Answer:
-37/6
Step-by-step explanation:
How far from the base of a house should you place an 18 foot ladder if it is to reach a window that is 15 feet high?
Answer:
The correct answer is 9 feet.
Step-by-step explanation:
Write in scientific notation:673,000
Answer:
6.73 x 10 ot the power of 5
Step-by-step explanation:
A _____________ is a special rectangle because it has four congruent sides and four right angles.
Answer:
parallelogram is a special type of rectangle, a square. A square is one of the most basic geometric shape
The heights of some students are given. What is the range 152cm, 173cm, 148cm,163,cm, 166cm,158cm
Answer:
The range is 25
Step-by-step explanation:
Answer:
25 is the range
Step-by-step explanation:
173-148 is 25
Can someone explain this to me plz Unhelpful answers will be reported
Answer:
axb/2
Step-by-step explanation:
When theres a triangle with a right angle you need to make in a rectangle and divide it by 2
Answer:
In order to find the area of a triangle, you need to use the formula [tex]\frac{1}{2} bh[/tex]. Substitute the known values into the formula and solve the equation.
Step-by-step explanation:
The formula to calculate the area of a triangle is [tex]\frac{1}{2} bh[/tex], where [tex]b[/tex] represents the length of the triangle's base, and [tex]h[/tex] represents the length of the triangle's height. Since [tex]b[/tex] and [tex]h[/tex] are variables that have different values in regards to different triangles, that means you should substitute the known/given values of each variable into the formula and solve the equation.
At a summer camp, the campers are divided into groups. Each group of 16 campers requires 2 cabins.
How many cabins are needed for 112 campers?
Answer:
896 cabins
Step-by-step explanation:
Given: Each group of 16 campers requires 2 cabins
To find: How many cabins are needed for 112 campers?
Solution: To find how many cabins are needed for 112 campers, divide 16 by 2
[tex]16[/tex] ÷ [tex]2 = 8[/tex]
Now, multiply the result by the campers
[tex]112[/tex] × [tex]8 = 896[/tex]
Therefore, 896 cabins are needed for 112 campers
How do I find an angle to a 90 degree triangle with only the length of the sides
Answer:
22.6°
Step-by-step explanation:
the cosines rule :
cos x = (24²+26²-10²)/2(24)(26)
= (576+676-100)/1248
= 1152/1248
= 0.923
so, x = cos`¹ 0.923 = 22.6°