Answer:
y = 20
Step-by-step explanation:
Given y varies jointly as x and z then the equation relating them is
y = kxz ← k is the constant of variation
To find k use the condition y = 5 when x = 3 and z = 4
5 = k × 3 × 4 = 12k ( divide both sides by 12 )
[tex]\frac{5}{12}[/tex] = k
y = [tex]\frac{5}{12}[/tex] xz ← equation of variation
When x = 6 and z = 8 , then
y = [tex]\frac{5}{12}[/tex] × 6 × 8 = [tex]\frac{5}{12}[/tex] × 48 = 5 × 4 = 20
A number b subtracted from seven is greater than eight. What is the sentence as an inequality?
Answer:
7 - b > 8
Step-by-step explanation:
Jayden’s rectangular garden is 5 3/4 feet long and 4 1/2 feet wide. What is the area, in square feet, of the garden
Answer:
The area is 25.875 square feet. Or it can be written as [tex]25\frac{7}{8}[/tex]
Step-by-step explanation:
You would simply multiply them by each other. 5 3/4 is aso 5.75. And 4 1/2 is also 4.5. So simply multiply 5.75 by 4.5
5.75*4.5 to get 25.875
What is the sum of the first 12 terms in the series shown below?
1.5 - 4.5 + 13.5 - 10.5 +
write a funny statement
Answer:
haaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Stella is ordering a taxi from an online taxi service. The taxi charges $3 just for the pickup and then an additional $1.75 per mile driven.
Answer:
and wht is the question?
I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT
9 is multiplied by the cube of a number.
Answer:
81
Step-by-step explanation:
9×9=81
also known as 9²
angle x and angle y are complementary angles. angle x is eight times larger than angle y. what are the measurements of angle x and angle y?
Answer:
x=80
y=10
Step-by-step explanation:
Yuri surveyed a random sample of 75 students in his school about their favorite color. Of the students surveyed, 49 chose lavender as their favorite color. If there are 908 students at the school, what is a valid estimate of the number of students whose favorite color is lavender?
600 students
300 students
450 students
800 students
which one?
Answer:
600
Step-by-step explanation:
Take the number that answered lavender and divide by total # of students surveyed
49/75 = .653333 or 65.3%
then take the total # of students and multiply by .6533333
908x .6533333 = 593.22
so the closest estimate is 600
-- Gage Millar, Algebra 1/2 tutor
942 flowers in157 vases= flowers per vase
Answer : 942/157 = 6
Soooo I’m kinda confuzzled, I have trouble simplifying decimals..does anyone mind giving a helping hand??
Answer:
65 miles per gallon.
Step-by-step explanation:
Scale it down. [tex]78:1.2 = x:1.0[/tex] or, solving for x, [tex]x= \frac{78\cdot 1.0}{1.2} = 65[/tex] miles per gallon.
PLS help me pls no links 15 points in total
Answer:
A and B are correct
Step-by-step explanation:
A)
Regular price=$24.30
Markdown=15%
Markdown Price=$24.30 * 15%
Markdown price=$3.645
Sale Price=$24.30-$3.645
Sale Price=$20.66
B)
Regular price=$66.50
Markdown=15%
Markdown price=$66.50 * 15%
Markdown price=$9.975
Sale Price=$66.50-$9.975
Sale Price=$56.53
If you need to ask any question, please let me know.
Solve:
(a+b+c) (a+b-c)
Answer:
a²+2ab+b²-c²Step-by-step explanation:
Solve:
(a+b+c) (a+b-c)=
(a²+ab-ac+ab+b²-bc+ac+bc-c²)=
a²+ab-ac+ab+b²-bc+ac+bc-c²=
a²+2ab+0ac+b²+0bc-c²=
a²+2ab+b²-c²
Answer:
The answer is a² + 2ab + b² - c²
Step-by-step explanation:
(a + b + c) × (a + b - c)
a² + ab - ac + ba + b² - bc + ca + cb - c²
a² + ab + ba - ac + ca + b² - bc + cb - c²
a² + 2ab + b² - c²
Thus, The answer is a² + 2ab + b² - c²
-TheUnknownScientist 72
41 divided by 533 estimate it and its long division and I have to find the R
Answer:
12 R20
Step-by-step explanation:
changed 41 to 40 and 533 to 500. work is in file above.
Type the missing digit below
6,387,_36 is divisible by 8.
Can y’all figure this out while I help my fam hang up a chrismus tree :)
in a certain game, a fair die is rolled and a player gains 20 points if the die shows a 6. if the die does not show a 6, the player loses 3 points. if the die were to be rolled 100 times, what would be the expected total gain or loss for the player?
The expected gain or loss is an illustration of mean and expected values.
The expected total gain is 83 points
The given parameters are:
Addition of 20 points for rolling a 6Removal of 3 points for not rolling a 6The probability of rolling a 6 in a fair die is 1/6.
The probability of not rolling a 6 in a fair die is 5/6.
So, the expected gain in each game is:
[tex]\mathbf{E(x) = 20 \times \frac 16 - 3 \times \frac 56}[/tex]
[tex]\mathbf{E(x) = \frac{20}6 - \frac{15}6}[/tex]
Take LCM
[tex]\mathbf{E(x) = \frac{5}6}[/tex]
[tex]\mathbf{E(x) = 0.83}[/tex]
The number of games is 100.
So, the expected gain is:
[tex]\mathbf{Gain = 100 \times 0.83}[/tex]
[tex]\mathbf{Gain = 83}[/tex]
Hence, the expected total gain is 83 points
Read more about expected value at:
https://brainly.com/question/13499496
10 feet long and 5 feet wide. What is its area?
Answer:
50 square feet
Step-by-step explanation:
Length x width
Answer:
50
Step-by-step explanation:
10 times 5 = 50
solve pls brainliest
Answer:
1.8333
Step-by-step explanation:
What is the mean absolute deviation of the data set? {12, 4, 30, 16, 18} 2. 8 5 2006. 4 16.
Answer:
12 3 30 16 18 2 8 6 2006 4 16 12 4 12 13
I don’t understand please help
Answer:
Step-by-step explanation:
Convert the exponential equation to a logarithmic equation using the logarithm base
( 5 ) of the left side ( 25 ) equals the exponent ( 2 ) . log 5 ( 25 ) = 2
Use the definition of a logarithm,
log b ( x ) = y ⟹ b y = x , to convert from the logarithmic form to the exponential form.
32 4/ 5 = 16
An item costs $300 before tax, and the sales tax is $9.90 . Find the sales tax rate. Write your answer as a percentage.
Answer:
3.33%
Step-by-step explanation:
9.90/300=0.033
Solve for x with 10x+10 and 17x+8
Answer:
here is the answer
Step-by-step explanation:
find the mode of the following set data
3, 10, 36, 26, 19, 2, 2, 40
Answer:
2
Step-by-step explanation:
it is the only number that occurs more than once
Write a linear equation that describes the problem.
What problem. You didn't attach anything or put it in the question.
2. Ms.A buys 7 boxes of snacks. Each box has 12 packets of fruit snacks and 18 packets of cashews.
How many snack packets does she buy altogether?
Answer: 210
Explanation:
Each box has 12 packets of fruit snacks and 18 packets of cashews. That gives 12+18 = 30 packets overall per box. Since we have 7 boxes, that tells us the total count is 7*30 = 210
(3x-6)/(x^2+2) what is the answer
I am a decimal number between 0.3 and 0.5. The digit in my hundredths place is 5 greaterthan the digit in tenths place, if the number in tenths place is 4 what will be the number?
Answer:
0.4
Step-by-step explanation:
it's between 0.3 and 0.5 and the number in tenth is 4 so the answer is 0.4
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
x ≈ 54.5°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{50}{86}[/tex] , then
x = [tex]cos^{-1}[/tex] ([tex]\frac{50}{86}[/tex] ) ≈ 54.5° ( to the nearest tenth )
y=2x-7
y=3x
can someone help solve for x and y