Can someone help me with this. Will Mark brainliest.
Answer:
√53
Step-by-step explanation:
Use the distance formula to find the distance between the two coordinates
The total cost of a catered meal for the Armstrong family reunion was to be split equally by the 20 people who came. Before the meal started, five more Armstrong's unexpectedly appeared. The total cost was shared equally among the 25 people, and so each person in the original group owed $4 less. What was the total cost of the catered meal?
Answer:
$400
Step-by-step explanation:
Let the initial total cost be represented = $X.
Hence, for 20 family members
= $ x/20 each .......1
Now that they are 25 members
= $x/25 each.......2
Each in the original group which is equation 1 owed $4 less.
That is,
x/20 - 4 ........ 3
Now equate 2 and 3
X/20 - 4/1 = X/25
Taking the LCM of both sides
X-80/20 = X/25
Cross multiply both sides
25( x-80 ) = 20x
25x-2000 = 20x
Collecting like terms
25x-20x = 2000
5x = 2000
Divide through by 5
X = 2000/5
X = 400
The total cost for the catered meal is $400.
To check if it was correct
Put 400 into equation 1 and 2 and then minus whatever you get from each other, you will get $4
From equation 1
400/20 = $20
From equation 2
400/25 =$16
$20-$16 = $4
Thanks
If a volume of an object varies directly with its height and if the volume is 24 while the height is 3 what is k
Answer:
8
Step-by-step explanation:
the formula for direct variation =
Y ∝ kX
such that
Y = kX
from the question we have here
Y = Volume = 24
x = height = 3
when we put this in the formula above in bold
24 ∝ 3k
24 = 3k
from here we have to find the value of k. to do this, we divide through by 3
24/3 = 3k/3
8 = k
therefore the value of k is 8
The Spirit Team will be selling popcorn as a fundraiser at the next basketball game to earn funds to go to Orlando for a competition. If they need the volume of the popcorn container to be under 220 cubic inches per serving, select all of the following dimensions of a cylinder they could use.
3 inch radius and 4 inch height
4 inch radius and 4 inch height
9 inch radius and 9 inch height
4 inch diameter and 9 inch height
6 inch diameter and 9 inch height
9 inch diameter and 4 inch height
Answer:A and b
Step-by-step explanation:
The dimensions of cylinders that have a volume under 220 cubic inches per serving are:
3-inch radius and 4-inch height
4-inch diameter and 4-inch height
4-inch diameter and 9-inch height
Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
Here,
We can use the formula V = πr²h to find the volume of each cylinder.
For a cylinder with a 3-inch radius and 4-inch height:
V = π(3)²(4) ≈ 113.1 cubic inches
For a cylinder with a 4-inch radius and 4-inch height:
V = π(4)²(4) ≈ 200.96 cubic inches
For a cylinder with a 9-inch radius and 9-inch height:
V = π(9)²(9) ≈ 2289.0 cubic inches
For a cylinder with a 4-inch diameter and 9-inch height (radius is 2 inches):
V = π(2)²(9) ≈ 113.04 cubic inches
For a cylinder with a 6-inch diameter and 9-inch height (radius is 3 inches):
V = π(3)²(9) ≈ 254.5 cubic inches
For a cylinder with a 9-inch diameter and 4-inch height (radius is 4.5 inches):
V = π(4.5)²(4) ≈ 254.5 cubic inches
Therefore, the dimensions of cylinders that have a volume under 220 cubic inches per serving are:
3-inch radius and 4-inch height
4-inch diameter and 4-inch height
4-inch diameter and 9-inch height
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i get alot of these please help
Answer:
18 is 3 more than 9- false
18 is 3 times as much as 6 - true
9 is 3 times as much as 27- false
9 is 3 more than 6 - true
How much Interest(in dollars) is earned by Investing $2200 at a simple interest rate of 8% for 12 years? Write the correct answer.
A = $4,312.00
I = A - P = $2,112.00
hey!
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 8%/100 = 0.08 per year.
Solving our equation:
A = 2200(1 + (0.08 × 12)) = 4312
A = $4,312.00
The total amount accrued, principal plus interest, from simple interest on a principal of $2,200.00 at a rate of 8% per year for 12 years is $4,312.00.
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have a good day! hope i helped in some way
Gigi's Family left their house and drove 14 miles south to a gas station and then 48 miles east to a waterpark. How much shorter with their trip to the waterpark have been if they hadn't stopped at the gas station and had driven along the diagonal path instead?
Answer:
If they hadn't stopped at the gas station and had driven along the diagonal path, their trip would have been 12 miles shorter.
Step-by-step explanation:
Given that Gigi's Family left their house and drove 14 miles south to a gas station and then 48 miles east to a waterpark, to determine how much shorter would their trip to the waterpark have been if they hadn't stopped at the gas station and had driven along the diagonal path instead the following calculation must be performed, using the Pythagorean theorem:
14 ^ 2 + 48 ^ 2 = X ^ 2
196 + 2,304 = X ^ 2
√ 2500 = X
50 = X
14 + 48 - 50 = X
62 - 50 = X
Thus, if they hadn't stopped at the gas station and had driven along the diagonal path, their trip would have been 12 miles shorter.
Renaldo has a piece of wood that is 8 feet long.
How many pieces 1 feet long can he cut from
the wood?
Answer:
8???????
Step-by-step explanation:
please answer ASAP AFAP PLEASE PLEASE ANSWER RIGHT OR I'LL REPORT YOU TO BRAINLY . but on the other hand if you answer correctly I'll just give you brainliest, and go to your profile and thank you and give you a 5 star rating!
Answer:
The answer is B. 4.4 oz.
Step-by-step explanation:
What do we know? We have the 6-pack of 12-ounce bottles and they cost $2.99, we also know that the other bottle 67.6 ounces that also costs $2.99.
Forgot the money, we're just going to be looking at the ounces.
First, we take the 6-pack and multiply by 12 because we want the size as one, rather than seperate. 6 x 12 = 72
The question is asking how many more ounces are you getting if you purchase the 6-pack. In order to do this, we take the 72 ounces that we got and subtract that 67.6 ounces of the other drink. 72 - 67.6 = 4.4
The ounces saved are 4.4 ounces.
Help me please it’s due today
Find two negative consecutive integers such that the square of the first is five more than the second. Find the integers.
Answer:
the two consecutive negative integers are -2 and -1.
Step-by-step explanation:
Represent these negative integers by m and n.
Then (because the integers are consecutive) n = m + 1, and m^2 = n + 5.
Substituting m + 1 for n in the second equation, we get:
m^2 = m + 1 + 5, or
m^2 - m - 6 = 0
This factors into (m - 3)(m + 2) = 0. The only negative root is -2.
Thus, the two consecutive negative integers are -2 and -1.
Check: Is the square of the first five more than the second?
Is (-2)^2 = -1 + 5? YES
The integers aer -2 and -1.
Solve for x.
x = ln e
x =
Answer:
x = 1
Step-by-step explanation:
Line with a slope of -3 and passes through
point (-1,7)
Answer:
y=-3x+5.5
Step-by-step explanation:
The answer is Y=-3x+5.5 because we already know the slope which is -3. Now all you have to do is change the Y-Intercept. As you can tell the Y-Intercept is not a whole number. So you have to change it to a decimal to get the point that you want. You can put the last part of the equation as 5.5 or 5.55. It doesn't matter but 5.5 is more official. If you find any fault in my answer let me know. Thanks. Have a good day!
Help help help help help
Answer:
6 ft
Step-by-step explanation:
The triangle CDE is half of the size of triangle ABC, so if you match up the corresponding sides, DE is half of AC. AC is 12 so DE is 6.
hope is helped!
help asap please i need to get thru this
Answer:
The Scale Factor is 1/4.
Step-by-step explanation:
if you multiply each side (of figure A) by 1/4, the product matches with figure B's corresponding sides. for example, 56 to 14, 28 to 7, and 64 to 16.
the scale factor is just how much a chosen shape is multiplied by to get the next shape.
to get bigger shapes into a smaller shape, multiply the sides by fractions like we did this problem.
The function C(x) = -2x2 + 38x + 40 models the sales, in hundreds of
millions of dollars, of compact discs for years since 1990.
Question:
Rewrite the function to reveal when sales of compact discs and $0.
Answer:
The cost in 2010 is $0
Step-by-step explanation:
Given
[tex]C(x) = -2x^2 + 38x + 40[/tex]
Required
Find x when [tex]C(x) = 0[/tex]
This gives:
[tex]C(x) = -2x^2 + 38x + 40[/tex]
[tex]-2x^2 + 38x + 40=0[/tex]
Expand
[tex]-2x^2 + 40x -2x+ 40=0[/tex]
Factorize:
[tex]-2x(x - 20) -2(x- 20)=0[/tex]
[tex](-2x - 2)(x- 20)=0[/tex]
Solve for x
[tex]-2x-2=0\ or\ x - 20 = 0[/tex]
[tex]x = -1\ or\ x = 20[/tex]
x represents time. So, it cannot be negative.
[tex]x = 20[/tex]
20 years after 1990 is: 2010. Hence, the cost in 2010 is $0
Using the information from the previous question, find the equation in standard form for the area of the fenced-in section in terms of the length of the field.
(area = length • width)
Answer:
y = x2 − 500x + 60,000
Step-by-step explanation:
area of the fenced-in section = length • width
y = (x − 200)(x − 300)
= x² − 300x − 200x + 60,000
= x² − 500x + 60,000
Ethel had 4 feet of ribbion she used 1 1/2 feet for a craft project how many feet of ribbon does she have left
What method did you use? Why? Solve. for x: 47° 13
Answer:
Step-by-step explanation:
Givens
You have the hypotenuse: 13
You seek the adjacent side: x
You have the angle enclosing the 2: 47 degrees.
The relationship is the Cosine
Solution
Cos(47) = opposite / hypotenuse
Cos(47) = 0.6820 From your calculator
Cos(47) = x / 13 Multiply both sides by 13
13*cos(47) = x
x=8.866
m - 12 = 11
A. -23
B. -1
C. 1
D. 23
Answer:
D. 23
Step-by-step explanation:
m-12-(11)=0
m-23 = 0
m = 23
Please help me with this
Answer:
x=8
Step-by-step explanation:
The ratio of a side of PQRS to the corresponding side in TUVW. is 6:4=3:2.
The ratio of RS:VW=3:2. RS=12, and VW=x. 12:x=3:2. 3 multiplied by 4 is 12, so 2 multiplied by 4 is x. So, the makes x=8.
Plzzz help me!!!!!!!!
A bank charges a fee of 0.5% per month for having a checking account. Stephani’s account has $325 in it. Which function models the balance of Stephani’s account, B(t), in dollars, as a function of time, t, in months?
a: B(t) = 325(0.0995)t
b: B(t) = 325(0.005)t
c: B(t) = 0.05(325)t
d: B(t) = 325 + 12(0.005)t
The required, function that models the balance of Stephani's account is
[tex]B(t) = 325(0.005)^t[/tex]. Option B is correct.
The function that models the balance of Stephani's account, B(t), in dollars, as a function of time, t, in months, can be determined using the given information.
Given:
Bank charges a fee of 0.5% per month for having a checking account.
Stephani's account has $325 in it.
The function that models the balance of Stephani's account, B(t), in dollars, as a function of time, t, in months, is:
b: [tex]B(t) = 325(0.005)^t[/tex]
In this function, the initial balance is $325, and the bank charges a fee of 0.5% per month, which is equivalent to 0.005 as a decimal. The exponent "t" represents the number of months, and with each passing month, the balance is reduced by 0.5%.
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what is the distance between (6,-7) (3,-5)
Answer:
4,684 km
Step-by-step explanation:
What is the mode of the data set? {32, 29, 35, 25, 32, 22, 30} Enter your answer in the box.
Answer:
beleive its 35
Step-by-step explanation:
Answer:
The mode hear is 32
Step-by-step explanation:
The mode is the number seen the most in a selected group.
Here is a Mnemonic to help remember what the 3 M's are:
'Hey diddle, diddle
the medians in the middle
add and divide for the mean
the mode is the one that you see the most
and the range is the difference between'
John’s friend told him that he could earn $25 for handing out flyers at a local concert. John wants to calculate the hourly rate. If he works a total of 2 hours, the equation 2x=25 can be used to determine his hourly rate. What would John’s hourly rate be, in dollars?
A
$12.50
B
$23
C
$27
D
$50
Answer:
D
Step-by-step explanation:
PLEASEEEEE ILL MARK BRAINIEST
Answer:
5. 18 that is what i think the answers are
6. 13.75
5 2 11 8 35 32
Name the decimal and fraction for R on the number line.
Click the icon to view the number lines.
The decimal is 1.
The fraction is
Are there outliers in the set of data below? Hint: Use your formulas from the lesson
52, 58, 62, 66, 67, 68, 68, 70, 70, 72, 73, 74, 76, 84, 90
Question 1 options:
52 and 90
68 and 70
There are no outliers
pls help
pls answer this i have no clue
Answer:
90 degrees
Step-by-step explanation:
The three angles of a triangle always add up to 180 degrees, so knowing this, all three of the measures given should add up to 180.
First, you need to solve for x:
S(x+10) + R(2x+60) + T(50+x) = 180
Add up all of the like terms:
10 + 60 + 50 = 120
x + 2x + x = 4x
So now you are left with 4x + 120 = 180
And solve for x:
4x/4 + 120/4 = 180/4
x + 30 = 45
x + 30-30 = 45-30
x = 15
Now that we have the value of x, plug it into the measure given for angle R:
(2x+60)
= (2(15)+60)
= (30 + 60)
= 90
So the measure of angle R is 90 degrees.
I hope this helped! :)
