Answer:
6ft: 25.667ft / 7ft: 22ft
Step-by-step explanation:
Since the question shows 7ft but the diagram shows 6ft I will show how to do both
FOR 6FT
Justin's height remained the same at 5'6" (or 5.5ft) and the distance between him and the mirror was 6ft
Now if we assume the triangles are congruent to each other, then set sides A and C equal to each other and solve for x
6/28 = 5.5/x
6x = 154
x = 25.667ft
FOR 7FT
Same process as before, replace 6 with 7
7/28 = 5.5/x
7x = 154
x = 22ft
Substance A has 2% alcohol mixture, and substance B has 6% alcohol mixture. To mix substance A and B for a capacity of 60 liters with 3.2% alcohol mixture, how many liters of substance A and B are used each?
Answer:
18 liters of 6% substance B
42 liters of 2% substance A
Step-by-step explanation:
let x be the liters of 6%, the balance of 60 - x liters is the 2% together they make 60 liters of 3.2%
6x + 2(60 - x) = 3.2(60)
distribute
6x + 120 - 2x = 192
Combine like terms
4x = 72
Divide bothsides by 4
x = 18 liters of 6%
60 - x = 42 liters of 2%
Plzzz help meeeeeplzzz
Answer:
1 1 0 0 1 1 (base 2)
Step-by-step explanation:
Do it as a common sum operation, remember that when you have 2 or more you need to carry over.
2m+m=24
[tex]2m + m = 24[/tex]
I don't know
Answer:
m = 8
Step-by-step explanation:
2m + m = 24 ( collect like terms on left side )
3m = 24 ( divide both sides by 3 )
m = 8
Answer:
m = 8
Step-by-step explanation:
2m + m = 24
3m = 24
(3m)/3 = (24/3)
m = 8
Check:
2*8 + 8 = 24
16 + 8 = 24
please help me with this question!!
Answer:
\(x = 1\)
Step-by-step explanation:
Based on the given conditions, formulate: \(x = 12 \div 12\)
Cross out the common factor:\(x = 1\)
Answer: \(x = 1\)
Lamar is a commercial real estate agent who earns a yearly salary of $82,500 plus a 2.5% commission on his total sales. If his total sales in one year are $3.75 million, what are Lamar’s earnings for that year?
Answer:
$176,250
Step-by-step explanation:
Multiply $3.75 million by Tomas commission on his total sales.
Since you can't multiply a percentage you have to turn the commission into a decimal by moving it two spaces to the left. (Note: if it doesn't have a decimal add one add the end of the number then move it two spaces to the left)
$3,750,000 x .025 or 0.025 = $93,750
Add $93,750 to Tomas yearly salary
$93,750 + $82,500 = $176,250
So
If Tomas sold properties that totaled $3.75 million in sales during one year, his earnings for that year would be $176,250
The Shanghai Maglev Train takes 8 minutes to travel a distance of 30.5 kilometres.
Work out the average speed of the train.
Answer:
228.75 km/h
Step-by-step explanation:
average speed = total distance / total time
The Average speed is 228.75 Km/h.
What is speed- Distance Formula?Speed = Distance/TimeDistance = Speed X Time, and Time = Distance / Speed,Given:
Distance= 30.5 Km
Time= 8 min
= 8/60 hr= 2/15 hour
Now, Average speed= Distance / time
= 30.5 x 15/2
= 228.75 Km/ h
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sir? sir? are u there? help me -_-
Answer:
a) The easiest way is to use a calculator such as a Casio brand or Sharp brand and key in 9C7 to get 36.
However, you can also use this formula: [tex]nCr=\frac{n!}{r!(n-r)!}[/tex] where n is the total number of items and r is how many you are selecting.
Plug in values:
[tex]\frac{9!}{7!(9-7)!} =\frac{9!}{7!*2!}=\frac{9*8}{2!}=36[/tex]
b) The easiest way is to use a calculator such as a Casio brand or Sharp brand and key in 9P7 to get 181440.
However, you can also use this formula: [tex]nPr=\frac{n!}{(n-r)!}[/tex] where n is the total number of items and r is how many you are selecting.
Plug in values:
[tex]\frac{9!}{(9-7)!} =\frac{9!}{2!}=9*8*7*6*5*4*3=181440[/tex]
what is the slope of the line that passes through the points (-3, 1) and (1, -5)
A) 1/2
B) -1/2
C) -3/2
Answer:
[tex]\boxed {\boxed {\sf C. \ - \frac {3}{2}}}[/tex]
Step-by-step explanation:
We are asked to find the slope of the line.
Slope is a number that tells us the steepness and direction of a line. It is the change in y over the change in x.
[tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]
In this formula, (x₁, y₁) and (x₂, y₂) are the points the line passes through.
We are given the points (-3, 1) and (1, -5). If we match the value with its corresponding variable, we see that:
x₁ = -3 y₁ = 1x₂ = 1 y₂ = -5Substitute the values into the formula.
[tex]m= \frac{-5 -1}{1 - -3}[/tex]
Solve the numerator.
-5-1= -6[tex]m= \frac{ -6}{1--3}[/tex]
Solve the denominator. Two back-to-back negative signs become a positive sign.
1 - -3 = 1+3 =4[tex]m=\frac{-6}{4}[/tex]
Simplify the fraction. Both the numerator and denominator can be divided by 2.
[tex]m= \frac{-6/2}{4/2}[/tex]
[tex]m= -\frac{3}{2}[/tex]
The slope of the line is -3/2, so the correct choice is C.
3х – 2y = 27
=
3х -
у = 24
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*x-2*y-(27)=0
STEP1:
Equation of a Straight Line
1.1 Solve 3x-2y-27 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x-2y-27 = 0 and calculate its properties
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 27/-2 so this line "cuts" the y axis at y=-13.50000
y-intercept = 27/-2 = -13.50000
Calculate the X-Intercept :
When y = 0 the value of x is 9/1 Our line therefore "cuts" the x axis at x= 9.00000
x-intercept = 27/3 = 9
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -13.500 and for x=2.000, the value of y is -10.500. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -10.500 - (-13.500) = 3.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 3.000/2.000 = 1.500
Geometric figure: Straight Line
Slope = 3.000/2.000 = 1.500 x-intercept = 27/3 = 9 y-intercept = 27/-2 = -13.50000A. Wealth
B. Level of living
C. liquidity
D. Assets
Answer:
D: assets.
Step-by-step explanation:
Victor borrowed $18.50 from his mother to go to the theater. A week later, he paid her $18.50 back. How much does he still owe her? He owes her $
Answer:
0
Step-by-step explanation:
To make 100g of jam you need 57g of strawberries, 17g of blackberries and the rest should be sugar.
What is the ratio of blackberries to sugar?
Give your answer in its simplest form.
8. Write an equation for the line in slope- intercept form.
Answer:
y equals 3x plus 4 is the answer
Step-by-step explanation:
hope it helps
If you treat 2 friends to lunch, the 1st lunch is $12. 35, the 2nd lunch is $14. 22, and your lunch is $11. 47. You want to add a 20% tip. How much will you pay in total?.
The solution is
The total amount for the lunch is given by the equation A = $ 45.648
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total amount for the lunch be represented as A
Now , the equation will be
The amount for the first lunch = $ 12.35
The amount for the second lunch = $ 14.22
The amount for the third lunch = $ 11.47
The percentage of tip = 20 %
So , the total amount for the lunch without tip = $ 12.35 + $ 11.47 + $ 11.47
On simplifying the equation , we get
The total amount for the lunch without tip = $ 38.04
The amount of tip = total amount for the lunch without tip x percentage of tip
Substituting the values in the equation , we get
The amount of tip = 38.04 x ( 20/100 )
The amount of tip = 38.04 x 0.20
The amount of tip = $ 7.608
So ,
The total amount for the lunch A = total amount for the lunch without tip + amount of tip
Substituting the values in the equation , we get
The total amount for the lunch A = $ 38.04 + $ 7.608
The total amount for the lunch A = $ 45.648
Therefore , the value of A is $ 45.648
Hence , the total amount is $ 45.648
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The tables of ordered pairs represent some points on the graphs of two lines. What is the solution to the system of equations represented by the two lines?
Answer:
(-9, 5)
Step-by-step explanation:
1. Find the equations of both lines (y = mx +b).
For the table on the left, we can see that the y-intercept is 23 (at x=0, y=23). Hence, b = 23. We can also see that the y-value for the left table increases by increments of 2, meaning that the slope (m) will be 2. Thus:
f1(x) = 2x + 23
For the right table, do the same thing. The table tells us that when x = 0, y = -58 (so b = -58). We also see that the y-value DECREASES in increments of 7, meaning that the slope, m = -7. Thus,
f2(x) = -7x - 58
2. Set the equations equal to each other to find the x-value at which the two equations will intersect.
2x + 23 = -7x - 58
9x = -81
x = -9
3. Plug your newfound x-value into any of the two equations to find the y-value at which both equations will intersect.
y = 2x + 23
y = 2(-9) + 23
y = 5
OR
y = -7x - 58
y = -7(-9) - 58
y = 5
ANSWER: At the point (-9, 5), the two lines intersect. Hence, the solution to the equation is (-9, 5).
Answer:
x = -9 and y =. 5
Step-by-step explanation:
(-2, 19) and (-1, 21)
Slope: (21-19)/(-1- -2) = 2
y-intercept = 21 - (2)(-1) = 23
a) y =2x + 23
(-2,-44) and (-1,-51)
Slope: (-51- - 44)/(-1- -2) = -7/1 = -7
y-intercept: -44-(-7)(-2)=-58
b) y = -7x - 58
Substitute y in equation a.
-7x-58 = 2x + 23
-9x = 81
x = -9
Substitute X by -9 in equation b: y = -7(-9) - 58= 5
y = 5
SnackTime Foods produced 3,181,990 grams of popcorn last year, which was placed in 7- gram bags. How many bags did the company fill? bags Submit
Answer:
The company filled 454570 bags.
Step-by-step explanation:
A ticket to see your favorite baseball team costs $. 45.04That price decreases by $0.24for every game lost during the regular season. What equation could you use to find the cost C of a ticket after L losses? Represent the total change in the cost of a ticket after the team loses 41 games. What is the price of a ticket after the team loses 41 games?
pLS HELP ME 15 points in total
Answer:
Its 53 because 1=1 and 2=2
Step-by-step explanation:
ANSWER ASAP WILL AWARD BRAINLIEST
Answer:
Pretty sure the answer is 9−4√3
[tex]\dfrac{(5-\sqrt 3)(3-\sqrt 3)}{2}\\\\=\dfrac{15 - 5\sqrt 3 - 3\sqrt 3 + 3}{2}\\\\=\dfrac{18 - 8 \sqrt 3}2\\\\=\dfrac{18}2 - \dfrac{8 \sqrt 3}2\\\\=9- 4\sqrt 3[/tex]
The equation y=0.2x models a proportional relationship. Complete the table and graph the data.
y=0.2x
#0
[tex]\\ \sf\longmapsto y=0.2(0)=0[/tex]
(x,y)=(0,0)#5
[tex]\\ \sf\longmapsto y=0.2(5)=1[/tex]
(x,y)=(5,1)#10
[tex]\\ \sf\longmapsto y=0.2(10)=2[/tex]
(x,y)=(10,2)#15
[tex]\\ \sf\longmapsto y=15(0.2)=3[/tex]
(x,y)=(15,3)#20
[tex]\\ \sf\longmapsto y=0.2(20)=4[/tex]
(x,y)=(20,4)Step-by-step explanation:
The given Eqⁿ is, [tex]{ \purple{ \sf{y = 0.2x}}}[/tex]
[tex]{ \star}[/tex]Put x = 0, then
[tex]{ \purple{ \sf{y = 0.2(0) = 0}}}[/tex]
[tex]{ \boxed{ \red{ \sf{(x, \: y )\: = (0,0)}}}}[/tex]
[tex]{ \star}[/tex]Put x = 5, then
[tex]{ \purple{ \sf{y = 0.2(5) = 1}}}[/tex]
[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (5,1)}}}}[/tex]
[tex]{ \star}[/tex]Put x = 10, then
[tex]{ \purple{ \sf{y = 0.2(10) = 2}}}[/tex]
[tex]{ \boxed{ \red{ \sf{(x ,\: y) \: = (10,2)}}}}[/tex]
[tex]{ \star}[/tex]Put x = 15, then
[tex]{ \purple{ \sf{y = 0.2(15) = 3}}}[/tex]
[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (15,3)}}}}[/tex]
[tex]{ \star}[/tex]Put x = 20, then
[tex]{ \purple{ \sf{y = 0.2(20) = 4}}}[/tex]
[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (20,4)}}}}[/tex]
PLZ ANSWER QUICK. WILL GIVE BRAINLY. NO EXPLANATION NEEDED.
Answer:
None of these are correct
Step-by-step explanation:
XZ = XY + YZ = 48 + 50 = 98
If you are to
evaluate your life now using polynomial functions , how will you
look at it?
a fair coin is flipped 10 times. what is the probability of getting the same number of heads and tails
If you flip a coin one time, the probability to get a Head is
p = 1/2
The probability of not getting a head in a single toss is :
q = 1 - 1/2 = 1/2
Thus there is only one unique situation to get the same number of heads and tails : in 10 toss you need to get exactly five heads, it will means that the rest is the tails.
Now using Binomial theorem of probability, the probability of getting exactly x = 5 heads in a total of n = 10 tosses is :
P(X = 5) = [tex]\frac{10!}{5!*5!} *(\frac{1}{2})^{5} *(\frac{1}{2})^{5}[/tex]≈ 0.246
So the probability of that is 24,6 %
Good Luck
Dave created a video that was originally 64 minutes long, but he ended up cutting it by 13%. How long was his video after he cut it?
Answer:
70 minute
it was help full
dude these qts are due in 10 mins pls help!
Answer:
I can't see the last answer choice.
9/LM = 6/4.5
Step-by-step explanation:
9cm is to 6cm as LM is to 4.5cm
9/6 = LM/4.5
Rewriting: 9/LM = 6/4.5
3.) What would 9 gallons of gas cost at $2.12 per gallon? *
$18.80
O $17.56
$19.08
$11.12
Answer:
19.08
Step-by-step explanation:
each gal = $2.12
gals filled = 9
9 x 2.12 = 19.08
Solve the simultaneous equations
x + y = – 6
-x + 2y = 15
Answer:
x = -9, y = 3
Step-by-step explanation:
I hope it helps!
brainlyyyyyyyy just helppppppppppppppppppppppppppppppppppppppppppp
50
If 10 is 20% of a number, we can multiply it by 5 to get the original number.
So 10 * 5 = 50, and 20% of 50 is 10.
I hope this helps! :)
Help pls! This is timed
Answer:
c. is correct
Step-by-step explanation:
hipe its attachments
A pie was cut into 8 equal pieces. If Malena ate 18 of the pie, and Lupe ate 58 of the pie, how many whole pieces of the pie are left?
Answer:
2/8ths are left
Step-by-step explanation:
8 equal.pieces means 8/8
she ate 1/8 and he ate 5/8
thats 6/8
8/8 - 6/8 = 2/8
Answer:
1
Step-by-step explanation:
i dunno maybe not sure