Use the Distributive Property, which states the following:-
[tex]\sf{a(b+c)=ab+ac}[/tex]
Where
we distribute a by multiplying it times b and c
a, b, and c can be either constants (numbers) or variables (letters)
Distribute:-
[tex]\sf{\displaystyle\frac{1}{4}(x+24)}}[/tex]
Multiply the term before the parentheses by the terms inside the parentheses:-
[tex]\sf{\displaystyle\frac{1}{4} x+6}}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
y is directly proportional to (x-4) when x=16, y=3 find y in terms of x
Answer:
y = ¼(x-4)
Step-by-step explanation:
Before solving the question, let's look at one example,
A is directly proportional to B means A∝B which also means A=kB where k is a constant.In this case, y is directly proportional to (x-4) means that y∝(x-4) which can also mean that y=k(x-4).
Hence, to find the value of k, substitute x=16, y=3 into y=k(x-4),
3=k(16-4)
k=3/12
k=1/4
After that, substitute the k value into the equation,
y = ¼(x-4)On Friday, a local hamburger shop sold a combined total of 468 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Friday?
With the equation of the circle that has a center at the origin and passes through the point (1-6),
Answer:
[tex]\sf x^2+y^2=37[/tex]
Step-by-step explanation:
Equation of a circle: [tex]\sf(x-h)^2+(y-k)^2=r^2[/tex]
where (h, k) is the center and r is the radius
Given the center is at (0, 0)
[tex]\sf \implies (x-0)^2+(y-0)^2=r^2[/tex]
[tex]\sf \implies x^2+y^2=r^2[/tex]
Given the circle passes through point (1, -6):
[tex]\sf \implies (1)^2+(-6)^2=r^2[/tex]
[tex]\sf \implies r^2=37[/tex]
Therefore, the equation of the circle is:
[tex]\sf \implies x^2+y^2=37[/tex]
Equation of a circle passing through origin
x²+y²=r²So
As (1,-6) lies on circle it will satisfy
1²+(-6)²=r^21+36=r²r²=37Now
equation of the circle
x²+y²=37In a call center that stays open all the time, calls arrive as a poisson process with a mean rate of 0.3 complaints per hour.(a) (5 points) after receiving a call (the 1st call), what is the probability that the 51st call arrives within 150 hours?(b) (5 points) after receiving a call, what is the probability that the next call arrives after 2 hours?(c) (5 points) the number of calls received each day is recorded for 50 consecutive days. find the probability that the sum of these 50 numbers is less than 356.
The probability the 51st call arriaves within 150hours is 0.0431, the probability the next call arrives within the next 2 hours 0.5488, the probability the sum of these 50 numbers is less than 356 is 0.4165.
Data;
Mean rate = 0.3x = 50standard deviation = ?Poission RuleUsing poission formula,
[tex]P(x=x) = \frac{e^-^\lambda - \lambda^x}{x!}\\\lambda = 0.3 per minute[/tex]
Let's substitute the values into the formula.
For 50 calls in 150 hours
For 150 hours = x = 0.3 * 150 = 45
[tex]p(x=50) = \frac{e^-^4^5 * 45^5^0}{50!} = 0.0431[/tex]
b)
The probability the next call arrives after 2 hours.
[tex]\lambda = 0.3 * 2 = 0.6\\p(x=0) = \frac{e^-^0^.^6 * 0.6^0}{0!} = 0.5488[/tex]
c)
The number of calls recieved each day is recorded for 50 consecutive days.
for 50 days;
[tex]\lambda = 0.3 * 50 * 24 = 360[/tex]
The mean = 360
The standard deviation is given as
[tex]S.D = \sigma =\sqrt{360} = 18.974\\[/tex]
The probability the sum of these 50 number is less than 356 is
[tex]p = (x < 356) = z = \frac{356 - 360}{18.974} = -0.2108\\p(z < -0.2108) = 0.4165[/tex]
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2 m
6 m
Volume = Base x height
Find the volume of this cylinder.
Milk is on sale for 40% off when it is normally $3.75 per gallon. How much will a gallon of milk cost?
The discounted price for milk is $____(Round to the nearest cent.)
Answer:
$2.25
Step-by-step explanation:
You have to set up a proportion to show how much the cost of milk is when discounted per gallon. 0% off, the milk would be $3.75. 40% off, the milk would be x. Now I flipped the percents because that is how much you are actually paying.
Proportion would look something like this:
3.75/100 = x/60
solve for x:
225 = 100x
x= 2.25
People use water to cook, clean, and drink every day. An estimate of 22.8% of the water used each day is for cleaning. If a family uses 68.4 gallons of water a day for cleaning, how many gallons do they use every day?
Answer:
I got 15.6
Step-by-step explanation:
I subtracted 28.8 percent from 68.4 then subtracted that number from 68.4
Find the area of the parallelogram below, after the
purple triangle-sized hole was removed.
Answer: 75
Step-by-step explanation:
Separate the parallelogram into two identical triangles (0.5 length by 10 height) and a rectangle (8 length by 10 height).
Work out the area of the rectangle - 8 * 10 = 80
Work out the area of the triangle - 0.5 * 10 = 5 (you don't need to halve it as you have two triangles)
Work out the area of the parallelogram - 80 + 5 = 85
Work out the area of the purple rectangle? (it says triangle in your description but I'm pretty sure that's not a triangle) - 5 * 2 = 10
Work out final area of the parallelogram - 85 - 10 = 75
I'm not sure if this is right but either way I hope you get your answer :)
Fabian has a loyalty card good for a discount his locate grocery store the item he wants to buy his price at $27 before discount and tax act a discount and before tax price is $26.19 find the percent
Answer:
3%。
Step-by-step explanation:
26•19÷27.00 =.97%
so the remains 3% is after the discount and tax.
A student made two patterns to show multiplication of a decimal by powers of ten. The equations shown for both patterns are incorrect.
Pattern A
3.675. 10 = 3.6750
3.675. 100 = 3.67500
3.675 • 1,000 = 3.675000
Pattern B
3.675.0.1 = 3.0675
3.675.0.01 = 3.00675
3.675 . 0.001 = 3.000675
The correct solving of the decimal shows that 3.675 × 10 = 36.750, 3.675 × 100 = 367.5 and 3.675 × 1,000 = 3675.
How to solve the decimals?From the information given, it should be noted the students calculations are incorrect. Therefore, 3.675 ×10 = 3.6750, 3.675 × 100 = 3.67500 and 3.675 × 1,000 = 3.675000 are incorrect.
In this case, when multiply by raise to power 10, it's important to shift the decimal based on the number being raised to power.
Therefore, 3.675 × 10 = 36.750, 3.675 × 100 = 367.5 and 3.675 × 1,000 = 3675.
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Hi guys can you please do this only question 6 and 8 ty
Question 6
End ÷ Initial = Growth + 1 (percent increase problems)
6,500/5,000 = 1.30
1.30 - 1 = 0.30
30% increase
Question 8
End ÷ Initial = 1 - Growth (percent decrease problems)
10.75/15.50 = 0.69
1 - 0.69 = 0.31
31% decrease
I hope this helps!
The work of a student to solve the equation 2(3x − 4) = 8 + 2x + 4 is shown below:
Step 1: 2(3x − 4) = 8 + 2x + 4
Step 2: 5x − 6 = 12 + 2x
Step 3: 5x − 2x = 12 + 6
Step 4: 3x = 18
Step 5: x = 6
In which step did the student first make an error and what is the correct step?
Step 2; 6x − 6 = 2(6 + x + 2)
Step 2; 6x − 8 = 12 + 2x
Step 3; 5x − 2x = 12 − 6
Step 3; 5x + 2x = 12 + 6
Answer:
answer is x=5, not x=6
Step-by-step explanation:
I don't really understand how this is structured, but the correct way of solving this is
2(3x − 4) = 8 + 2x + 4
do distributive property.
6x - 8 = 8 + 2x + 4
subtract 2x on both sides.
you get...
4x - 8 = 12
add 8 on both sides.
4x =20
divide by 4
x = 5
Hello, can you help me out with this please i will give brainlist :D
Answer:
2.23
Step-by-step explanation:
Use translation (x,y) to (x-8, y+4)
What is the image of A (2,6)
Answer:
(-6,10)
Step-by-step explanation:
This is simple, you just subtract 8 from the x value, and add 4 to the y value.
Hope this helps
The circumference of a circle is 11 inches. What is the area, in square inches, of the circle? Express your answer in terms of pi
Answer
A = 30.25pi. PLS GIVE BRAINLIEST
Step-by-step explanation:
so if circumference is 11, and formula for circumference is 2pi*r, we can work backwards to find the radius.
Radius: 11pi/2 = 5.5pi = 5.5 is radius
Area = pi * r^2
so Area = pi*5.5^2
so A = 30.25pi left in terms of pi
Answer: 11/4pi
Step-by-step explanation:
The measure of an angle is 74.8°. What is the measure of its complementary angle?
Answer:
105.2°
Step-by-step explanation:
Supplementary means the angles add up to 180. 180-74.5=105.2
Answer:
The answer is 15.2
Step-by-step explanation:
This is literally the EASIEST subject in math so all you do is subtract 90 - 74.8 easy peasy! That's middle school math lol.
b + 1.5 = 6
solve the equation and find the value of the variable
Answer:
[tex]\boxed{\sf{b=4.5}}[/tex]Step-by-step explanation:
To find the value of variable, you have to isolate the term of b from one side of the equation.
b+1.5=6First, you subtract by 1.5 from both sides.
→ b+1.5-1.5=6-1.5
Solve.
Subtract the numbers from left to right.
⇒ 6-1.5=4.5
⇒ b=4.5
Therefore, the correct answer is b=4.5.I hope this helps you! Let me know if my answer is wrong or not.
The electrician charges a $20 service fee, plus $60 per
hour for electrical repairs, shown by the equation below.
Solve the equation 60h + 20 = 140 and explain the
meaning of the solutions• (What does h represent?
What do the numbers in the equation represent, etc.)
Now let's change this equation into an inequality:
60h + 20 < 140
How does the change from an equation to an inequality
impact the meaning? Give one scenario that could
account for the less than sign.
Answer:
1a) h = 2
1b) "h" represents the amount of hours the electrician worked, so the electrician worked two hours. "60" represents the cost per hour. "20" represents the beginning service fee. "140" represents the total cost in the end.
2a) This impacts the meaning because instead of the equation, meaning that the customer of the electrician payed exactly $140, it is turned into an inequality, which means the customer payed $140 at most.
2b) The electrician charges a $20 service fee, plus $60 per hour for electrical repairs. The customer payed $140 at most. This is shown with the following equation: 60h + 20 < 140
Step-by-step explanation:
60h+20=140
60h=120
h=2
which one is different? write "both" inequalities.
a) w is greater than or equal to -7
b) w is no less than -7
c) w is no more than -7
d) w is at least -7
Answer:
These are the inequalities
A: [tex]W\geq -7[/tex]
B: [tex]W > -7[/tex]
C: [tex]W < -7[/tex]
D: [tex]W\leq -7[/tex]
I assume the "different" one is referring to the wording of the expression. B, C, and D are all similarly worded so I believe A is the "different" one.
Help with this please
Answer:
f(4)=-10
x=0
Step-by-step explanation:
7 ft
8 ft
8 ft
5 ft
5 ft
Find the total surface area of the prism
Answer:
look up surface area calculator
Step-by-step explanation:
The surface area of the triangular prism is 161 square feet. Then the correct option is A.
What is the surface area of a triangular prism?Let h be the height and b be the base of the triangle. Let L₁, L₂, and L₃ be the length and W be the width of the rectangle. Then the surface area of the triangular prism will be given as,
Surface area = 2 Area of triangle + 3 Area of rectangle
Surface area = (h x b) + (L₁ + L₂ + L₃) x W
The surface area is calculated as,
SA = (5 x 5) + (5 + 5 + 7) x 8
SA = 25 + 17 x 8
SA = 25 + 136
SA = 161 square feet
Thus, the correct option is A which is top left.
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Dora is making invitations for her party. Dora needs to make invitations for 54 of her friends. On Friday you helped her make 1/2 of the invitations. How many did you make?
Answer:
[tex] \frac{1}{2} of \: the \: invitations = \frac{1}{2} \times 54 \\ = 27invitations[/tex]
you made 27 of the invitations
Researchers want to determine whether all frozen pizzas have the same proportion of toppings regardless of the brand of pizza. To test this, they sampled randomly pizzas of each brand and recorded their findings in the table.
Brand Topping
Pepperoni Sausage Onion Mushrooms
Digiorno 14 21 17 17
Tombstone 11 8 10 6
Red Baron® 17 13 14 11
Tony's 9 17 15 18
Part A: What are the correct degrees of freedom for this table? (2 points)
Part B: Calculate the expected count for the number of pepperoni for Red Baron® pizza. Show your work.
Part C: Is there sufficient evidence that there is a difference in the proportion of toppings for the different brands of pizza? Provide a statistical justification for your conclusion.
The degree of freedom is 9 and expected amount for the number of pepperoni for Red Baron is 12.867.
How to calculate the degree of freedom?The degree of freedom will be calculated thus:
= (Number of rows - 1) × (Number of columns - 1)
= (4 - 1)(4 - 1)
= 3 × 3 = 9
The expected amount for the number of pepperoni for Red Baron will be:
= (55 × 51) / 218
= 12.867
Also, the p value is 0.6023 and this indicates that there is no sufficient evidence that there is a difference in the proportion of toppings for the different brands of pizza since p value is greater than 0.05.
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Show all steps when completing the square to solve 2x^{2} - 4x - 5 = 25.
Answer:
x = 5,-3
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Answer:
See attachments
Step-by-step explanation:
Hope this helps! (I hope you can open them)
Solve for the missing angles. Can somebody please help in stuck!
Answer:
A = C = 115°
B = 65°
D = E = 45°
Step-by-step explanation:
65° + C = 180° or 65° + A = 180°, They are supplementary angles that are linear pair that add up to 180°.
A = C = 115°
B° = 65° Vertical Angles meaning they are equal to each other.
D and E are equal to cheat other since the lines on the sides mean that are isosceles.
D + E + 90° = 180°
D + E = 90°
2x = 90
x = 45°
D = E = 45°
Solve 2x+4> 16.
O A. X> 10
B. x <10
C. x< 6
O
D. X>6
Answer:
D
Step-by-step explanation:
First subtract 4 from both sides and divde both sides by 2.
Solution:
=2x+4>16
=2x+4-4>16-4
=2x>12
=2x÷2>12÷2
=x>6
Q. Find the volume
10
8
12
3
2
answer choices
A. 128
B. 180
C. 124
D. 182
Answer:
A.128
Step-by-step explanation:
First you break the prism apart so that you have one 7x4x2 rectangular prism and one 12x3x2 prism. Find the volume of both, then add them together.
Volume of 12x3x2:
12 x 3 = 36. 36 x 2 = 72.
Volume of 7x4x2:
7 x 4 = 28. 28 x 2=56.
Then add both volumes: 72 + 56 = 128.
Which of the following functions best models the data represented by the scatterplot shown below
y=25x+20
y=160x−100
y=8x2+10
y=2x+12
Answer:
I am pretty sure the answer is going to be y=25x+20 :)
Have an amazing day!!
Please rate and mark brainliest!!
The correct function for the given data representation will be,
y = 8x² + 10
What is Function?
A relation between a set of inputs having one output each is called a function.
Data representation is given by the scatterplot in the graph.
Now,
Take a function y = 8x² + 10
Then, Check each point on the x - axis for the value of y - axis.
So. Substitute x = 1 in the function we get;
y = 8 × 1 + 10
y = 8 + 10
y = 18
So, Point is (1, 18)
For, x = 3
y = 8 × 3² + 10
y = 72 +10
y = 82
So, Point is (3, 82)
For, x = 5
y = 8 × 5² + 20
y = 200 + 20
y = 220
So, Point is (5, 220)
Thus, All points are satisfy the given scatterplot graph.
So, The correct function for the given data representation will be,
y = 8x² + 10
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Complete the net worth statement by determining the total assets and total liabilities.What is the net worth? A 178,000 B 180,338 C 1,052,662 D 1,233,000
The total liabilities is $180,338
The total assets is $1,233,000
The net worth is $1,052,662
What is the net worth, assets and liabilities?Net worth is total assets less liabilities. Assets is the sum of liquid assets and non liquid assets. Liabilities is the sum of car loan and mortgage loan.
Assets = 178,000 + 1,055,000 = $1,233,000
Liabilities = 145,908 + 34,430 = $180,338
Net worth = $1,233,000 - $180,338 = $1,052,662
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20. What is the area in square feet of the sidewalk shown
below? Round off to the next largest foot.
Answer:
it doesnt say any numbers or pictures of the question can you add them