The unknown two numbers are 11 and 3 where the mean of two numbers is 7 and the range of these two numbers is 8.
What are mean?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
The range of a given set of data is defined as the difference between the largest value and the smallest value.
Given that the mean of two numbers is 7 and the range of these two numbers is 8.
Let the pair of number be 11 and 3
11 + 3 = 14
14 / 2 = 7
Mean = 7
Also, the difference between the numbers are;
11 - 3 = 8
Range = 8
Therefore, the unknown two numbers are 11 and 3 where the mean of two numbers is 7 and the range of these two numbers is 8.
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what is $420 with a 6% tax
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Explanation:
There are two approaches.
The slightly longer approach will have us take 6% of 420 to get 0.06*420 = 25.20
So 25.20 is the amount of tax you pay on top of the original $420. The total bill is 420+25.20 = 445.20 dollars
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The shortcut is to multiply 420 by 1.06 to get 420*1.06 = 445.20
The 1.06 multiplier indicates an increase of 6%
We can think of it it as 1.06 = 1 + 0.06 = 100% + 6%
Jenny spends 3 hours each week practicing soccer and 5 hours each week practicing piano. Write the ratio of hours spent practicing soccer to hours spent practicing piano.
3 hours of soccer to 5 hours of piano
It would be written as 3:5
Answer:
3:5 or 3/5
Step-by-step explanation:
1 x=5
2x + y = 10
Substitution
Answer:
Y = 0
Step-by-step explanation:
If x = 5 then 2x + y = 10 is 10 + y = 10 (2*5 = 10) and so 10 + 0 = 10. Y = 0
How do you write 0.5 as a percentage?
2/2q+3=1/8
solve for q
Answer:
[tex]q= -\frac{23}{8 }[/tex]
Step-by-step explanation:
hope this helps have a good rest of your day :) ❤
Liam has 8/9 pound of clay. He will use 1/3 pound to make each action figure. How many action figures can he make?
Answer:
Step-by-step explanation:
8/9
1/3= 3/9
8/9 / 3/9
8x 9
9 3
8x9=72
9x3=27
72/27=2.666666
Liam can make 2 action figures
Pls help i need this quickly ill give brainliest
factor the following completely: x^3*y^2-x^2*y^3
Answer:
Step-by-step explanation:
x³y² = x * x * x * y * y
x²y³ = x * x * y *y * y
GCF = x * x * y * y = x²y²
x³y² - x²y³ = x²y² ( x - y)
What is equivalent to 7x(4x-5)
7x(4x-5)
Distribute
28x^2-35x
Ans : 28x^2-35x
Answer:
28x - 5
Step-by-step explanation:
coeffecients with the same variable can be multiplied added subtracted divided so i multiplied 7 and 4 because they have the same variable which is X so it would be 28x and you can't multiply 7x by 5 because it doesnt have a variable consider multiplying if it has the same variable when it has a variable. so it would just be 28x - 5
Find the logarithms of the following numbers to the base 1/3: 1
Answer:
6.644
Step-by-step explanation:
Ruby stands at 5 feet tall her shadow is 6 feet long how far is it form the top of her head to the end of the shadow
Answer: 7.81 feet
Step-by-step explanation:
This scenario forms a right-angled triangle where Ruby's height of 5 feet is the height of the triangle. Her 6 feet long shadow is the length of the triangle and the distance from the top of her head to the end of the shadow is the hypotenuse.
This can therefore be solved by the Pythagorean formula:
c² = a² + b²
where ;
c = hypotenuse
a = height
b = length
c² = 5² + 6²
c² = 25 + 36
c² = 61
c = √61
c = 7.81 feet
What are the coordinates for Point S?
Answer:
(2, -2)
Step-by-step explanation:
its positive 2 on the x axis and negative 2 on the y axis
please i need help again
Answer:
8^2*(2+6)/4= 64*8/4 = 512/4 =128
Answer:
128
Step-by-step explanation:
First add 2+6 because it's in parenthesis
Second, square 8 and get 64
third, multiply 64 times 8
last divide 64 times 8 (which is 512) by 4
USE PEMDAS OR GEMS TO DECIDE THE ORDER
GEMS:
G- groups (parenthesis)
E- exponents
M- multiplication and division (go in order of what comes first in equation)
S- subtraction and addition (go in order of what comes first in equation)
The listed price of the video game was $34, but the price with tax came to $37.40. Find the percent sales tax.
Answer:
10%
Step-by-step explanation:
we want to find what % of 34 is 37.40
so, we will use the following equation:
[tex]\frac{part}{whole} = \frac{percent}{100}[/tex]
for this scenario:
part = 37.40
whole = 34
percent = x
now plug in:
[tex]\frac{37.40}{34} = \frac{x}{100}[/tex] cross multiply
34x = (37.40)(100)
34x = 3740 divide both sides by 34
x = 110%
now we know that with tax, we paid 110% of the video game's price
110 - 100 = 10%
so the percent sales tax is 10%
just to check...
34 • 1.10 = $37.40
or
34 • .10 = 3.40
34 + 3.40 = 37.40
Michael has $1,017.59 in his checking account. He is going to spend $540.68 on a new television, and he will spend the rest on
speakers that cost $41.00 each. Which of the following inequalities would determine the maximum number of speakers, x, Michael
can buy without spending more money than he has in his account?
A. $1,017.59 < $41.00x + $1,017.59
B. $1,017.59 + $540.68 > $41.00 +X
C. $41.00x + $540.68 < $1,017.59
D. $540.68 + $41.00 + x < $1,017.59
Answer: B
Step-by-step explanation:
Please help me !!!!!!!
Answer:
C. Both (1,11) and (-1,-5)
Step-by-step explanation:
Ok so,
let's try to plug in the first ordered pair into the equation. It should look like this:
11 = 8+3
11=11 CORRECT
now let's try to plug in the second ordered pair. it should look like this:
-5 = -8+3
-5 = -5 CORRECT
hope this helps. have a good day!!
Multiply 13.5 x 12.1 using a regrouping strategy. Explain your answer and each step that you take.
Answer:
163.485
Step-by-step explanation:
multiply 13.5 x 12.11
y=xe^x how do you find the domain of the following function
9514 1404 393
Answer:
all real numbers
Step-by-step explanation:
Basically, you look for any values of x for which the function is not defined. There are none. So, the domain is "all real numbers."
__
The function is the product of a polynomial (x) and an exponential function (e^x). Each of those kinds of functions has a domain of "all real numbers". Multiplication is also defined for all real numbers, so there is nothing about this product that would restrict the domain.
Use substitution to solve the system of equations.
3 - 5y = 36
22 + y = -16
Answer:
(-4, -8)
Step-by-step explanation:
x - 5y = 36; 2x + y = -16
first, rearrange the first equation by adding 5y to both sides to isolate x
x = 5y + 36
then plug that in for x in the second equation and solve for y:
2(5y +36) + y = -16 distribute 2 to (5y + 36)
10y + 72 + y = -16 combine like terms by adding 10y and y
11y + 72 = -16 subtract 72 from both sides
11y = -88 divide both sides by 11
y = -8
next, plug y in and solve for x
x - 5(-8) = 36
x + 40 = 36 subtract 40 from both sides
x = -4
finally, check the solution by plugging x and y into both equations to see if they equal the expected value
(-4) - 5(-8) = -1 + 40 = 36 = 36 ✓
2(-4) + (-8) = -8 -8 = -16 = -16 ✓
Can someone please help me with this
Answer:
D
Step-by-step explanation:
A has the rate of change of 3
B has the rate of change of 5
C has the rate of change of 9
D has the rate of change of 20
hey! please help on this question i'll give brainliest <333 .
Answer:
9 1/6
Step-by-step explanation:
=(35×3)+(10×6)6×3
=165/18
Simplifying 165/18, the answer is
=9 1/6
2,416 divided by 6 need the answer
Answer:
402.66666666667
Step-by-step explanation:
A new movie is currently showing at the local movie theater. For the 6:00 pm showing, the theater sold 36 student tickets and 24 adult tickets for a total of $423. The theater sold 41 student tickets and 38 adult tickets for a total of $585.75 for the 8:30 pm showing. If x represents the number of student tickets sold and represents the number of adult tickets sold, which of the following systems of equations correctly models the situation? Group of answer choices
Answer:
36x + 24y = 423 (1)
41x + 38y = 585.75 (2)
x =$5.25
y = $9.75
Step-by-step explanation:
x = the number of student tickets sold
y = the number of adult tickets sold
36x + 24y = 423 (1)
41x + 38y = 585.75 (2)
Multiply (1) by 38 and (2) by 24
1368x + 912y = 16,074 (3)
984x + 912y = 14,058 (4)
Subtract to eliminate y
1,368x - 984x = 16,074 - 14,058
384x = 2,016
x = 2,016/384
x = 5.25
Substitute x = 5.25 into (1) to find y
36x + 24y = 423
36(5.25) + 24y = 423
189 + 24y = 423
24y = 423 - 189
24y = 234
y = 234/24
y = 9.75
x =$5.25
y = $9.75
Find the L.C.M of 150,180and 240 leaving your answer as product of prime factors
Answer:
2^4·3²·5² = 3600
Step-by-step explanation:
Complete the statement with , or =.
5/5 ___ 1
Answer:
=
Step-by-step explanation:
Answer:
5/5=1
Step-by-step explanation:
my number is the largest 2 digit number that is a multipull of both 4 and 3
Answer:
96.
Step-by-step explanation:
4*4*3 = 48
2 * 48
= 96
Loretta grew 54 watermelons in her garden last year. This year, that number increased by 5/9. Which expression shows the number of watermelons loretta grew this year?
Answer:
[tex]54+\frac{5}{9}\times 54[/tex]
Step-by-step explanation:
We are given that
Loretta grew watermelons in her garden last year=54
We have to find the expression which shows the number of watermelons Loretta grew this year.
To find the expression which shows the number of watermelons Loretta grew this year by adding watermelons grew in her garden last year and number of watermelons increased .
According to question
5/9 of 54=[tex]\frac{5}{9}\times 54[/tex]
Therefore, the expression which shows the number of watermelons Loretta grew this year
=[tex]54+\frac{5}{9}\times 54[/tex]
need help solving this problem down below.
Answer:
1 / We have the area of a rectangle ABCD = 8 x 16 = 128 ft²
2 / Find the area of an isosceles Δ DEF:
The base of the isosceles ΔDEF => DF = DC- FC = 16 -12 = 4 ft
So the area of Δ DEF = 1/2 (DF x EH) = 1/2 (4 x 6) = 12 ft²
3 / Area of the irregular shape = area ABCB + Area DEF = 128 + 12 = 140 ft²
Step-by-step explanation:
what would be the answer to this question?
Answer:
5
Step-by-step explanation:
2*2 + 3*6 + 4*x + 5*8 + 6*1 = 84
4*x = 16
x = 4
Right, 8 is the biggest frequency
2 ( n - 7 ) = 20
What is n?
Answer:
The answer is n = 17
Step-by-step explanation:
Divide both sides by the numeric factor on the left side, then solve.
Hoped this helped!
brainly, please?
p−3=−4
Helppppp
Meeee
Plzzz
sorry i had the wrong answer...