Answer:
r=16c
Step-by-step explanation
20-4=r
16=r
When Louisa arranges her pennies into a rectangle with two equal rows, three equal rows, four equal rows, or six equal rows, she has one leftover penny. When she arranges her pennies into a rectangle with five equal rows, she has two leftover pennies. How many pennies could Louisa have? Remember he has between 10 and 40 pennies total.
Answer:
37
Step-by-step explanation:
The answer must be (a multiple of 2, 3, 4 and 6) + 1, and (a multiple of 5) + 1, because 1 or 2 coins were left over when dividing by 2, 3, 4, 6 or 5.
Let's look at the lowest common multiples of 2, 3, 4, 6:
Prime factorisation:
2 = 2
3 = 3
4 = 2 * 2
6 = 2 * 3
therefore, the lowest common multiple is 2 * 2 * 3 = 12
Let's look at the answers that this would give us (ie multiples of 12):
12 + 1 = 13 <-- this would work, but 11 (ie two less than 13) is not a multiple of 5
12 * 2 + 1 = 25 <-- 23 is not a multiple of 5 either
12 * 3 + 1 = 37 <-- 35 (two less than 37) is a multiple of 5 :)
therefore 37 is our answer since it is one more than a multiple of 12 (ie 36) and two more than a multiple of 5 (ie 35)
Simplify:
1) (3x2y3)2
Answer:
6x²y³ I think n hope it's right
HELP QUICK WILL GIVE BRAINLIEST
Answer:
I gave the answers to the first four problems.
Step-by-step explanation:
1) LAB=40°
2) angle 3= 57°
3) x=25°
4) y= 29°
During the years 1992 through 1996, the average number of
green
grapes, g, sold at a farmer's market can be modeled by
g=-0.1312 + 1.12t + 54.33.
The average number of red grapes, r, sold by the farmer's market can
be modeled by
r=0.00772
0.6787+77.18. Determine the model representing the total
number of grapes, n, sold from 1992 through 1996.
Answer:
133.18522
Step-by-step explanation:
g=55.3188
r=77.86642
77.86642+55.3188
133.18522
what does it mean by "determine the equation of a line that passes through the given point. First find the slope" someone please help and give answer ASAP
Answer:
y=-3x-1
Step-by-step explanation:
The mistake that was made was in the denominator of the work. The second 2 should be the -1. This is what you should get:
[tex]\frac{-7-2}{2-(-1)}[/tex]
[tex]\frac{-9}{3} =-3[/tex]
Hope that clear things up.
a school has 2 large patios. one is rectangular and is 24 feet long by 18 feet wide. The other is square and each side is 21 feet long. Which patio has a greater area?
Answer:
The 21' by 21' square patio is larger by 9 square feet
Step-by-step explanation:
[tex]24 \times 18 = 432[/tex]
[tex] {21}^{2} = 441[/tex]
The square patio will have more area than the rectangular one.
What is an area?
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Given that the school has 2 large patios. one is rectangular and is 24 feet long by 18 feet wide. The other is square and each side is 21 feet long.
The area of the rectangle is calculated as,
Area = L x W
Area = 24 x 18
Area = 432 square feet
The area of the square is calculated as,
Area = S²
Area = (21)²
Area = 441 square feet
The area of the square is greater than the area of the rectangle.
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obtain the total salary?)
2. Xandria rides through a jeepney which charges P 8.00 for the first 4 kilometers
and additional P0.50 for each additional kilometer. Express the jeepney fare (F)
as function of the number of kilometers (d) that Xandria pays for the ride.
Answer
Answer:
F(d) = 30 + 0.50d
Step-by-step explanation:
Given
Charges = P8.00 ---- first 4 km
Additional = P0.50
Required
Write a function to address the scenario.
Represent the whole distance covered with d.
First,we need to determine the total charges for the first four hours.
Charges = 8.00 * 4
Charges = 32.00
Next, we determine the charges for additional distance.
Charges = 0.50 * (d - 4)
d - 4 is the remaining distance after the first 4.
Charges = 0.50d - 2
The function is then written as;
F(d) = 32 + 0.50d - 2
F(d) = 32 - 2 + 0.50d
F(d) = 30 + 0.50d
I think of a number, multiply it by three, and add fout I get twenty two.
a) Using the statement above, form an equation.
Use the letter 'X' for the unknown number.
b)
Solve the equation.
Answer:
X times 3 + 4 =22
X=6
Step-by-step explanation:
22-4=18
18/3=6
2c + y = 7 solve for y
Answer:
y = 7 - 2c
Step-by-step explanation:
Step 1:
2c + y = 7 Equation
Step 2:
y = 7 - 2c Subtract 2c on both sides
Answer:
y = 7 - 2c
Hope This Helps :)
Answer:
y = 7 - 2c
Step-by-step explanation:
2c + y = 7
=> y = 7 - 2c
What is the solution
9 • x = –63?
A ball is thrown from a height of 70 meters with an initial downward velocity of 10/ms. The ball's height h (in meters) after t seconds is given by the following.
h=70-10t-5t^2
The time when the ball hit the ground, which is thrown from a height of 70 meters with an initial downward velocity of 10 m/s is 2.87.
What is a quadratic equation?A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.
The standard form of the quadratic equation is,
[tex]ax^2+bx+c=0[/tex]
Here,(a,b, c) is the real numbers and (x) is the variable. To solve the equation for x, use the following formula,
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
The ball's height h (in meters) after t seconds is given by the following.
[tex]h=70-10t-5t^2[/tex]
The ball is thrown from a height of 70 meters with an initial downward velocity of 10 m/s. In this case,
Height h=70 metersVelocity v=10 m/s.The time when the ball hit the ground has to be find out. The value of the height when it hit the group is zero. Put the value of h=0 in the above equation,
[tex]h=70-10t-5t^2\\0=70-10t-5t^2\\5t^2+10t-70=0\\5t^2+10t-70=0\\[/tex]
Solve the quadratic equation using the following formula,
[tex]t=\dfrac{-10\pm \sqrt{10^2-4(10)(-70)}}{2\times5}\\t=-4.87, t=2.87[/tex]
Consider positive value. Thus, the time when the ball hit the ground, which is thrown from a height of 70 meters with an initial downward velocity of 10 m/s is 2.87.
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2+3/4x=5/12
Rewrite the equation so that it does not have any fractions
Answer:
24+9x=5
Step-by-step explanation:
First you need to find the least common multiple of the denominators of the fractions. In this case, it would be 12. Then, multiply the entire equation by this number.
2*12=24,
3/4*12=36/4=9,
5/12*12=60/12=5.
Using these values will give your final equation: 24+9x=5
The rational number 5 3/7 is equal to
is equal to
Answer:
38/7 is = to 5 3/7
Step-by-step explanation:
I did this one slot of times but I never get it
Answer:
A: [tex]x^{2} \leq 16[/tex]
A is a solution set of the inequality.
This means:
[tex]x^{2} \leq 4[/tex]
∩ (AND)
[tex]x^{2} \geq -4[/tex]
Which can also be written as:
Interval notation: x ∈ [-4, 4]
Set notation: {x | [tex]-4 \leq x \leq 4[/tex] }
Referring to the methods for calculating average atomic mass, which one is 'incorrect' ?
Mary
Jack
Alan
Alan's method is correct coz to find we add all the given value and divide by the numbers present
70
D
Find the measure of the arc or angle as indicated.
B
O 65
0 55
0 71
O
57
6n + 12 what kind of property is it ?
Answer:
Subtractive property of equality
Subtractve property i think
At the restaurant, the cost of the meal before tax was
$40. The tax is 8.5%, and Sheri wants to leave at least
an 18% tip. Explain how to approximate the total cost of
the meal.
Answer:
so you add then multiply then subtract
Step-by-step explanation:
Answer:
First we estimate the percent's. 8.5% - 10%, 18% - 20%. Then we do the equation. If you add percent's you get 30% multiply that by 40 and you get 12. Add that to you problem and you get $52.
Step-by-step explanation:
Since the tax and gratuity were 4 and 8 dollars you can just add those up to the 40, but I did it another way.
This is the sample response if you want a better explanation.
The gratuity is about 20% of $40, which is $8. The tax is about 10% of $40, which is $4. So, the total cost is about $40 + $8 + $4 = $52.
Please help quick
Divide polynomials using long division
(13q–91)÷(q–7)
Answer:
13
Step-by-step explanation:
q-7 can go into 13q-91 thirteen times.
Set up the long division sign with the q-7 on the outside and the 13q-91 inside.
Then, notice that to get to 13, you multiply the q and 7 by 13. This gets both terms to 13q and 91, which cancel out the numbers inside the long division sign.
choose the apporopriate value for the following statement 16 deliveries in 4 hours is a unit rate of _____ deliveries per hour
A. 4
B.2
C.7
D.8
A unit rate of 4 deliveries per hour.
What is the rate?Rate is the special ratio in which two different terms are in different units. a number, amount, or degree measured in relation to another object. a payment or charge that is calculated depending on another sum. more specifically: the premium per insurance unit. transitive verb rate.
Given that 16 deliveries are done in 4 hours. from that we can drive no. of deliveries in one hour. let's assume deliveries in one hour is x
For, x per hour = 16/4
x per hour is 4
Therefore the appropriate value for the unit rate of 4 deliveries per hour.
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How can I solve 7y + (-5y)
Answer: 2y
Step-by-step explanation:
Adding a negative number is the same as subtracting by that number. In this case,
7y + (-5y)
is equal to
7y - 5y
Someone answer for angle 1 pls
Answer:
120 degrees
Step-by-step explanation:
5 times 25 equals 125.
subtract 5
=120
Answer:
Angle 1 = 120°
Angle 2 = 60°
if you add both of em up, they equal to 180°.
Step-by-step explanation:
5(25)-5
125-5
120
2(25)+10
50+10
60
How far apart are parallel lines m and n such that T (ΔXYZ) = (Rn ∘ Rm)(ΔXYZ)?
Answer:
Parallel lines m and n are 6 units apart
Step-by-step explanation:
pleaseee help! This is due in 30 minutes and this is the last question I have
Find the measures of the missing angles
ma._____
mb._____
mc._____
md._____
Answer: a=57
b=64
c=116
d=59
A is 57 because the lines are parallel and alternate interior angles. B is 64 because the lines are parallel and alternate interior angles. C is 116 because of linear pair. 180 - 64(b). D is 59 because of triangle sum theorem. Sum of measures of all angles in a triangle equal 180
Work this problem
9.215 -627
Answer:
−617.785
Step-by-step explanation:
Convert 13/2 to a decimal using long division.
Answer:
6.5
Step-by-step explanation:
Divide 13 by 2 to get 6.5
Answer: 13/2 = 6 with a reminder of 1
Step-by-step explanation: Attached image should show you my work.
1. SHOPPING Jenna bought 5 reams of paper at the store for a total of $21. The tax on her
purchase was $1.
Solve 5x + 1 = 21 to find the price for each ream of paper.
(5 Points)
20
20/5
8/2
Answer:
$4
Step-by-step explanation:
5x + 1 = 21
(-1) = 5x = 20
(÷5) = x = 4
Answer:
its 20
Step-by-step explanation:
5 times 4 lol ion really now
factorise x squared - 42 squared
Answer:
42 squared is 1764
Step-by-step explanation:
Answer: (x + 42)(x - 42)
Step-by-step explanation:
factorise: x^2 - 42^2
. x^2 - 42^2 have ^2 in common (so you can ignore that).
. put in brackets (x - 42)(x + 42)
. +/- any order really doesn't matter :D
1/2 × 4 2/5= Im stuck on this
easy the answer would be 2.2
If n // m, which of the following statements are true? Select all that apply.
B
2.
3
200
А
60°
A m2 2 = 60°
m
B. m23 = 100
Cm2 2 + m 24 = 80°
D. m2 2 + m23 = 80°
Answer:
A is answer
Step-by-step explanation:
please follow me
Answer:
B and C
Step-by-step explanation:
Since m and n are parallel, we can call the two lines extending from the point B transversals.
[tex]m\angle{1} = 60^\circ[/tex] because they are vertical angles
[tex]m\angle{2} = 20^\circ[/tex] from the corresponding angles theorem.
[tex]m\angle{4} = 60^\circ[/tex] from the corresponding angles theorem.
[tex]m\angle{3} = 100^\circ[/tex] because angle 2 and 4 sum to 80, and [tex]m\angle{2} + m\angle{3} + m\angle{4} = 180^\circ[/tex] because it is a straight angle.
From this, we can see which ones are true.
A is false because angle 2 is 20 degrees.
B is true because angle 3 is 100 degrees.
C is true because angle 2 + angle 4 = 20 + 60 = 80 degrees.
D is false because angle 2 + angle 3 = 20 + 100 = 120 degrees.
Therefore, only B and C are true.
