Answer:
13 miles
Step-by-step explanation:
It tells us that her house is 5 miles from the Post Office. So we know that each unit on the grid is 1 mile. Lucy walks from her house to the post office to the bank. The shortest path is the hypotenuse of the right triangle. We have one side length. Now, we count the post office to bank's length. It is 12 miles. The Pythagorean theroem is a^2+b^2=c^2 so 5^2+12^2=c^2 Solving this, we get c=13. The shortest path is 13 miles.
Based on the data shown in the graph, how many hours will it take the shipping company to pack 180 boxes
Based on the data shown in the graph, how many hours will it take the shipping company to pack 180 boxes
Answer:
What graph
The time taken by the shipping company to pack 180 boxes is 15 hours.
What are the ratio and proportion?The ratio is the division of the two numbers.
Proportion is the relation of a variable with another. It could be direct or inverse.
The given graph is the direct relation and has a constant proportion as,
Book packed/hour = 60/5 = 12
With this constant of proportionality,
For 180 boxes,
180/hour = 12
Hour = 15
Hence "It takes the shipping business 15 hours to pack 180 cartons".
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Missing data shown below,
A gas station sells unleaded regular and unleaded premium gasoline. The price per gallon charged by the station is$1.299 for unleaded regular and $1.379 for unleaded premium. The cost per gallon from supplier is$1.219 for unleaded regular and $1.289 for unleaded premium. If equals the number of gallons sold of regular and equals the number of gallons sold of premium:(a) Formulate the revenue function from selling and gallons of the two grades of gasoline respectively?(b) Formulate total cost for purchasing and gallons?(c) Formulate the total profit? d) what is the total profit expected to equal if the station sells 100,000 gallons of unleaded and regular and 40000 of unleaded premuim?
Answer:
a) Revenue function = 1.299r + 1.379p
where: r = gallon of unleaded regular gasoline and p = gallon of regular unleaded premium gasoline
b) cost function = 1.219f + 1.289p
c) profit function = (1.299r + 1.379p) - (1.219f + 1.289p) = 1.299r - 1.219r + 1.379p - 1.289p = 0.08p + 0.09p
d) total profit = (0.08 x 100,000) + (0.09 x 40,000) = $8,000 + $3,600 = $11,600
If a pair of shoes was 25% off and the original price was $80 how much is the amount of the discount?
The amount of the discount would be 20 Dollars
i'll mark you as brainliest
Answer:
the answer is 6
Step-by-step explanation:
2.9(x) = 4x + 8 What is g(8)?
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[tex]g(x) = 4x + 8[/tex]
[tex]g(8) = 4(8) + 8[/tex]
[tex]g(8) = 32 + 8[/tex]
[tex]g(8) = 40[/tex]
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What type of relationship does there appear to be between price of gas and number of hybrid cars sold?
A) no relationship
B) quadratic relationship
C) exponential relationship
D) positive linear relationship
Answer: C. Exponential relationship!
Step-by-step explanation:
Option C is correct, exponential relationship is the type of relationship does there appear to be between price of gas and number of hybrid cars sold
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
We have to tell the type of relationship does there appear to be between price of gas and number of hybrid cars sold
There appears to be a Exponential relationship between the price of gas and the number of hybrid cars sold.
As the price of gas increases, the demand for hybrid cars tends to increase, and as the price of gas decreases, the demand for hybrid cars tends to decrease.
Exponential relationship is the type of relationship does there appear to be between price of gas and number of hybrid cars sold.
Hence, Option C is correct, exponential relationship is the type of relationship does there appear to be between price of gas and number of hybrid cars sold.
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Graph the line that passes through the point (4,1) and is parallel to the line y= 1/2x + 6
please :)
(50 points) Suppose the light pattern from a fog light can be modeled by the equation x^2/25 - y^2/9=1. One of the points on the graph of this equation is at (6, 3 sqrt 11/5), and one of the x-intercepts is -5. Which coordinate is not a point on the graph?
Answer:
Both points are on the graphStep-by-step explanation:
Given function
x^2/25 - y^2/9 = 1To find
Check if given points are on the graph (6, 3 sqrt 11/5) and (-5, 0)Solution
Verifying the points are on the line by substituting values of x and y:
1.............................
6^2/25 - (3√11/5)²/9 = 136/25 - 11/25 = 125/25 = 11 = 1Correct2.............................
(-5)^2/25 - 0^2/9 = 125/25 - 0 = 11- 0 = 11 = 1CorrectAnswer:
B
Step-by-step explanation:
Edge 2021
An article reported on a school district's magnet school programs. Of the qualified applicants, were accepted, were waitlisted, and were turned away for lack of space. Find the relative frequency for each decision made and write a sentence summarizing the results.
Answer:
Step-by-step explanation:
Is there a chart to go by?
Work out the base of a square with area 225cm²
Answer:
15cm
Step-by-step explanation:
Given parameters:
Area of the square = 225cm²
Unknown:
Base = ?
Solution:
A square is a figure with equal sides.
Area of a square = L²
L is the side length
225cm² = L²
L = √225
L = 15cm
The base of the square is 15cm
Step-by-step explanation:
answer .................
Please help me with this problem!!! I have been trying to figure it out for the past hour and I still can’t figure it out. Thanks for your help and have a nice day!!!
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[tex] \frac{ {6}^{8} \times {6}^{3} }{ {6}^{5} } = \\ [/tex]
[tex] \frac{ {6}^{8 + 3} }{ {6}^{5} } = \\ [/tex]
[tex] \frac{ {6}^{11} }{ {6}^{5} } = \\ [/tex]
[tex] {6}^{11} \times {6}^{ - 5} = [/tex]
[tex] {6}^{11 - 5} = [/tex]
[tex] {6}^{6} [/tex]
Thus ;
[tex] {6}^{[6]} \\ [/tex]
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Solve for x. Round your answer to two decimal places. Show your work for full credit.
Answer:
x ≈ 14.30
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesTrigonometry
sin∅ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define variables
∅ = 39°
opposite leg = 9
hypotenuse = x
Step 2: Solve for x
Substitute: sin39° = 9/xMultiply x on both sides: xsin39° = 9Isolate x: x = 9/sin39°Evaluate: x = 14.3011Round: x ≈ 14.30Linda conducted a school survey and asked 8th-grade students about their favorite NFL team. The results are in the table below. Based on the results of the survey, what was the probability of an 8th-grade student choosing the Pittsburgh Steelers as their favorite NFL team?
Answer:5oo
Step-by-step explanation:
1. What must be added to -3/8 to get 5/16 ?
pls need ANS. FAST
Answer: 11/16
Step-by-step explanation:
-3/8 = -6/16
5/16 - (-6/16) = 11/16
You need to add -3/8 with 11/16 to get 5/16
is −2π rational or irational?
Espress the following in standard form 24.12
Tommy bought a total of 30 apples and oranges for a classic picnic. Apple's cost $3 per pound and oranges cost $4 per pound. Tommy spent $100 total. How many apples and oranges did Tommy buy?
Answer:
20 apples and 10 orangesStep-by-step explanation:
Let amount of apples be x and oranges be y
Then we have:
x + y = 303x + 4y = 100Subtract triple of the first equation from the second one:
3x + 4y - 3(x + y) = 100 - 3*303x - 3x + 4y - 3y - 10y = 10Then finding x
x = 30 - 10 = 20So apples = 20, Oranges = 10
Which angles are corresponding angles?
try A
Step-by-step explanation:
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{ \angle \: UTQ \: and \: \angle \: RQO}}}}[/tex]
Step-by-step explanation:
✎ The easiest way to think of a corresponding angles is ' F - pattern ' . In our case , [tex] \angle[/tex] UTQ and ∠ RQO are corresponding angles as they makes F - Shape .
Hope I helped!
Have a wonderful time ! ツ
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a line passes through the points 1 , -6 and 4,3 what is the Y intercept of this line
Answer:
y-intercept = -13
Step-by-step explanation:
So you have to put it in slope-intercept form to solve.
slope is 4 so you plug in the one of the coordinate points in for x and y in the equation to find b.
If A is the incenter of triangle CDE, find each measure.
a) mZDCE
b) m CDE
c) mzDAE
PLEASE HELP FOR GEOMETRY
9514 1404 393
Answer:
m∠DCE = 58°
m∠CDE = 74°
m∠DAE = 119°
Step-by-step explanation:
The incenter is the point of intersection of the angle bisectors. The angles on either side of the bisector have the same measure. Of course, the sum of angles in a triangle is 180°.
m∠DCE = 2×29° = 58°
m∠CDE = 180° -58° -2×24° = 74°
m∠DAE = 180° -74°/2 -24° = 119°
will mark brainiest if correct. Need answers ASAP plz!!!!!
Charles Beaudry sells computer hardware for a computer firm. He is paid 4 percent commission on the first $8,000 of sales, 6 percent on the next $10,000 of sales, and 8 percent on sales over $18,000. What is his commission of $21,278 in sales?
As i don't want this to be to long
We break it down so
$8000 x 4% = $320
$10000 x 6% = $600
$8000 + $10000 = $18000
$24550-$18000 = $6550 x 8% = $524
Final answer
$320+$600+$524 = $1,444
Choose the mathematical sentence that most accurately expresses the
information in the problem, and would be most helpful in solving it.
After taking 4 pieces of fruit out of a bag, 12 pieces of fruit remained. How
many pieces of fruit were in the bag to start?
A. f: 4 = 12
B. 12 - 4 = f
C. 12 : f= 4
D. f-4 = 12
E. 4 + f = 12
F. 12 + f = 4
Answer:
D. f-4=12
Step-by-step explanation:
total fruits (f)
took 4
12 remained
taken + remainder = initial total
4 + 12 = f
f = 12 -4
Kellan just spent $45 on chocolate bars. If he purchased 60 chocolate bars, how much did each one cost?
Round to the nearest hundredth.
Answer:
0.75
Step-by-step explanation:
Please help I can’t figure out the answer
Answer: A
Step-by-step explanation: so in goes up by 5 and out goes up by 1 which i think makes 5x and the first one is 0,9 so f(x)=5x+9
The pie chart shows information about visitors to restaurants in a town. 375 people had fish and chips. How many people had pizza?
Answer:
15
Step-by-step explanation:
Which equation has the same solution as x^2-x+11=8
Answer:
There are no real solutions to this equation.
Hope This Helps!
Select the graph that represents the correct answer to the equation.
5y = 3x - 5
Answer:
The second one.
Step-by-step explanation:
Hence, as per the graph image option (B) is correct.
What is an equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here the given equation is
[tex]5y=3x-5\\y=\frac{3x}{5}-1[/tex]
Put [tex]x=0[/tex]
[tex]y=-1[/tex]
Put [tex]x=-1[/tex]
[tex]x=\frac{-3}{5}-1\\x=\frac{-3-5}{5}\\x=\frac{-8}{5}\\x=-1.6[/tex]
Put [tex]x=1[/tex]
[tex]x=\frac{3}{5}-1\\x=\frac{3-5}{5}\\x=\frac{-2}{5}\\x=-0.4[/tex]
Draw the graph
Hence, as per the graph image option (B) is correct.
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x-6y + 4-12
x+y- 43 12
2+2y +5-13
Solve using substitution
Answer:
x-6y-8
x+y-4312
2y-6
Answer:
x-6y-8
X+y-4312
2y-6
Step-by-step explanation:
given
X-6y + 4-12
x+y- 43 12
2+2y +5-13
Solution
x-6y-8
X+y-4312
2y-6
Change to a proper fraction
19/5 (Explain how to do it please) 31 points for it and if you don’t explain correctly I’ll report the question.
Answer:
3 4/5
Step-by-step explanation:
19/5 is improper because the numerator is larger to the denominator. If we round 19 down to 15 and divide 15 by 5 we get 3 but we still have 4 left because of how we rounded it. Let me explain this a little bit smaller.
19 fits into five three times, and that leaves 4 left over, 19/5 = 3 & 4/5
( i just added the & sign so it didn't look like 34/5 )