Answer:
The answer is D) Y = 3/4x-2
Step by step explanation:
3x - 4y = 8
Express it in the term of y.
Subtract 3x from both sides:
3x - 4y - 3x = 8 - 3x
- 4y = 8 - 3x
Divide both sides by -4
-4y/-4 = (8 - 3x)-4
y = 8/-4 - 3x/-4
y = -2 - (-3/4x)
y = -2 + 3/4x
y = 3/4x - 2
Please help. 25 points.
Find the value of x (this is the angles of a triangle)
(X-13)+x+(×/5+6)=180
Answer:
72 85 23
Step-by-step explanation:
Equation
(x - 13) + (x/5 + 6) + x = 180 Multiply the equation by 5
Solution
5(x - 13) + 5(x/5 + 6) + 5x = 180*5 Remove the brackets
5x - 65 + x + 30 + 5x = 900 Combine like terms on the left
11x - 35 = 900 Add 35 to both sides
35 35
11x = 935
x = 85
Answer
x - 13 = 85 - 13 = 72
x = 85
x/5 + 6 = 17 + 6 = 23
Total = 180
It might be easier not to multiply through by 5 at the beginning
(x - 13) + (x/5 + 6) + x = 180 Remove the brackets
x - 13 + x/5 + 6 + x = 180 Combine like terms
2x + x/5 -- 7 = 180
x/5 = .2x Put 0.2x in for x/5
2.2x - 7= 180 Add 7 to both sides
7 7
2.2x = 187 Divide by 2.2
x = 187/2.2
x = 85
Take your pick. Both methods will give the same answer.
An aquarium owns 5 identical tanks. All together, the tanks can hold 86 gallons of water. How much water can each tank hold?
All tanks together =
Answer: 17.2 for each tank
Show your full solution
1. How much larger is the pizza in a circular pan with a 14-inch diameter than a pizza made in square pan with sides measuring 14 inches?
2. A photograph measuring 10 cm by 4 cm is mounted on a rectangular cardboard, to leaving a margin of 3 cm all around. What is the area of a photograph?
Answer:
1.the square pan is larger by 12 inches
40 cm^2
Step-by-step explanation:
The difference in size can be determined by calculating the difference between the perimeter of the square pan and the circumference of a circle
perimeter of a square = 4 x length
14 x 4 = 56 inches
Circumference of a circle = πD = (22/7) x 14 = 44 inches
Difference in size = 56 - 44 = 12 inches
Area of a rectangle = length x width
10 x 4 - 40 cm^2
Answer this????????????
Answer:
[tex]a + b = 8 \\ 3a - 4b = 3 \\ 4a + 4b = 32 \\ 3a - 4b = 3 \\7a = 35 \\ (a = 5 )\: and \: (b = 3)[/tex]
A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 35 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 36.8 milligrams. Assume the population is normally distributed and the population standard deviation is 7.3 milligrams. At α=0.02, can you reject the company's claim? Complete parts (a) through (e).
Answer:
The pvalue of the test is 0.177 > 0.02, which means that at α=0.02, you cannot reject the company's claim.
Step-by-step explanation:
A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 35 milligrams. You want to test this claim.
At the null hypothesis, you test that the mean caffeine content is of 35 milligrams, that is:
[tex]H_o: \mu = 35[/tex]
And at the alternate hypothesis, you test if the content is different from 35, so:
[tex]H_a: \mu \neq 35[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
35 is tested at the null hypothesis:
This means that [tex]\mu = 35[/tex]
During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 36.8 milligrams. Assume the population is normally distributed and the population standard deviation is 7.3 milligrams.
This means that [tex]n = 30, X = 36.8, \sigma = 7.3[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{36.8 - 35}{\frac{7.3}{\sqrt{30}}}[/tex]
[tex]z = 1.35[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability of the mean caffeine content differing from the mean by at least 36.8 - 35 = 1.8, which is P(|z| > 1.35), which is 2 multiplied by the pvalue of z = -1.35.
Looking at the z = -1.35 has a pvalue of 0.0885
2*0.0885 = 0.177
The pvalue of the test is 0.177 > 0.02, which means that at α=0.02, you cannot reject the company's claim.
Which choice is the slope-intercept equation of the line shown below?
(1,2)
(0, -1)
A. y = 3x - 1
B. y = 2x-1
C. y = 2x + 1
D. y = 3x
Answer:
C is my answer
Step-by-step explanation:
The exponential model A = 661.7 e^0.011t describes the population, A, of a country in millions, t years after 2003. Use the model to determine the population of the country in 2003
Answer:
661.7 million
Step-by-step explanation:
Given the exponential model :
A = 661.7 e^0.011t
The general form of an Exponential model is expresses as :
A = A0 * e^rt
Where A = final value ; A0 = Initial value ; r = growth rate and t = time elapsed
From the question t = time after 2003
Therefore, A0 = initial population, which is the population in 2003
Therefore, A0 = 661.7
Or we could put t = 0 in the equation and solve for A
A = 661.7 e^0.011(0)
A = 661.7 * 1
A = 661.7
Hence, population in 2003 is 661.7 million
As reported in Trends in Television, the proportion of US households who have at least one VCR is 0.592. If 8 households are selected at random, without replacement, from all US households, what is the (approximate) probability that the number having at least one VCR is exactly 4. Be sure to use many decimal places in your calculations (at least 4), but report your answer to three decimal places.
Answer:
0.23825
Step-by-step explanation:
Given :
p = 0.592 ; number of trials, n = 8
x = 4 ; q = 1 - p = 1 - 0.592 = 0.408
Using the binomial probability relation :
P(x = x) = nCx * p^x * q^(n-x)
P(x = 4) = 8C4 * 0.592^4 * 0.408^4
P(x = 4) = 70 * 0.592^4 * 0.408^4
P(x = 4) = 0.23825
Irene purchased some earrings that regularly cost $55 for a friend's birthday. Irene used a "20% Off"
coupon.
How much did Irene pay for the earrings?
Answer:
44 dollars without tax so the earrings were 11 dollars off
If a cone has a height of 16 feet and a volume
of 603.19 cubic feet, find the length of its
diameter.
1.A woman is flying a kite. If she has 80 feet of string out and the kite is 55 feet up in the air,
what is the kite's angle of inclination?
Answer:
25 feet
Step-by-step explanation:
two fair number cubes are rolled at the same time. what is the probability that both number cubes have the number four facing up? thanksss <3333
Answer:
The probability that both number cubes have the number 4 facing up is 1/36.
Step-by-step explanation:
For a cube, we have the number:
1,2,3,4,5 and 6
The number 4 only occurs once in the six.
So, the probability of having the number 4 in a single roll is 1/6.
Now, for two rolls, we have two probabilities which we will have to multiply.
Thus, we have the probability as:
[tex] \frac{1}{6} \times \frac{1}{6} = \frac{1}{36} [/tex]
yvonne is 3 years younger than her sister.the sum of thier ages is 25 years.
Answer:
mk?
Step-by-step explanation:
What is the approximate area of the shaded sector in the circle shown below
Answer:
A. 4.71cm²
Step-by-step explanation:
Area of a sector = π(radius²)(angle/360)
=π(3²)(60/360)
=(9)(1/6)π=4.71238898038
Explain, then show, how to prove that g(x) and g^(-1) (x) are inverse functions.
Answer:
Where is the question
Step-by-step explanation:
Dan bought 20 bunches of seedless green grapes for $48. How many bunches can Kali buy if she has $12?
5
29
4
6
Answer:
48/20=2.4
12/2.4=5
Step-by-step explanation:
Kai can buy 5 bunches of grapes if she has $12.
Answer:
It's 29.
Step-by-step explanation:
48/20=2.4
12x2.4=28.8
Round up to 29.
Find the median of the dot plot below 5 6 7 8 9 10 11 12 13
Answer:
The median is 9
Step-by-step explanation:
Answer:
Hey love! Answer: 9
Step-by-step explanation:
these are the numbers 5 6 7 8 (9) 10 11 12 13
the median is simply just the one in the middle so this one is 9 because it has 4 numbers in front and 4 numbers after
Hope this helps!
I've been asking since yesterday :(
Candace is designing a rectangular garden. The garden's diagonal must be 37.7 feet, and the ratio between the garden's base and height must be 12:5. Find the length of the garden's base and height. The garden's base is feet and its height is
Answer:
Step-by-step explanation:
let the base=12x
and height=5x
(12x)²+(5x)²=37.7²
144x²+25x²=37.7²
169x²=37.7²
(13x)²=37.7²
13x=37.7
x=37.7/13=2.9
base=12×2.9=34.8 ft
height=5×2.9=14.5 ft
if f(x)= 3x+16 what is f(2)
Answer:
22
Step-by-step explanation:
Which point gives the vertex of f(x) = - x2 + 4x - 3?
A) (2,-1)
B) (-2,-13)
C) (2,1)
D) (2,-13)
Answer:
(2,1)
Step-by-step explanation:
f(x) = - x^2 + 4x - 3
Factor out the negative
f(x) = - (x^2 - 4x + 3)
Factor
f(x) = -(x-3) (x-1)
The zeros are at
0 = -(x-3) (x-1)
x-3 =0 x-1 =0
x=3 x=1
We know the vertex is 1/2 way between the zeros
(3+1)/2 = 4/2 =2
The x coordinate of the vertex is 2
Substitute x=2 into the equation
f(2) = -(2^2-4(2) +3)
= -(4-8+3)
= -(-1)
= 1
The vertex is (2,1)
Factor this trinomial.
x²+x-2
A. (x - 2)(x - 1)
B. (x-2)(x + 1)
O C. (x + 2)(x - 1)
D. (x + 2)(x + 1)
Answer:
(x−1)(x+2)
Step-by-step explanation:
The middle number is 1 (1x) and the last number is -2.
Factoring means we want something like
(x+_)(x+_)
We need two numbers that...
Add together to get 1
Multiply together to get -2
Try -1 and 2:
-1+2 = 1
-1*2 = -2
Fill in the blanks in
(x+_)(x+_)
with -1 and 2 to get...
(x-1)(x+2)
Hope this helps!
Kitchen countertops can be
measured in millimeters.
How long is 1.50 m in mm?
Answer:
1500mm
Step-by-step explanation:
Multiply the length by 1000
therefore, 1.5×1000
Please help me with this real quick
Answer: 7.5 miles
Step-by-step explanation:
think of it as a triangle; the bold line is the hypotenuse, or x.
8 |\ x
|_\ it's not a good triangle but you get the point
6
and then get out pythagorean theorem: a^2+b^2=c^2
put the numbers in: 8^2 + 6^2 = x^2
do some math:
64+36=x^2
100=x^2 (and then find square root)
10=x
BUT, it said each unit was 3/4 of a mile, so we must multiply 10 by 3/4 to get the actual distance, which is 7.5
The total cost of attending the movies, y, is directly proportional
with the number of tickets purchased, x. If it costs a family of four
$38.00 to attend the movies, what is the slope of this
relationship?
Answer:
The slope should be 34.00.
Step-by-step explanation:
Mary has a stack of cards, 8 purple, 6 orange, 5 red and 7 black. If she has to choose a card, how many possible outcomes are there?
Answer: The amount of outcomes is 26 because you have 26 cards which are all possible to draw so they are the outcomes.
Step-by-step explanation:
Basic arithmetic really. 8+6+5+7 = 26. The color was just added to confuse u.
Helppppppppppppppppppppp
Help me please ( on the image )
Answer:
[tex]\frac{\pi}{3}[/tex] radians
Step-by-step explanation:
Number of hours on a clock = 12
Since, measure of a circle at the center = 360°
Measure of central angle formed by the arc between each number (representing hours) = [tex]\frac{360}{12}[/tex]
= 30°
Central angle formed by the arc intercepted by the hands of the clock at 8:00 = 4 × 30°
= 120°
Therefore, angle measure in radians = [tex]\frac{\pi }{360}\times (120^0)[/tex]
= [tex]\frac{\pi }{3}[/tex]
Angle formed by the hands of the clock at 8:00 = [tex]\frac{\pi}{3}[/tex] radians
In the troposphere, temperature as altitude increases.
Answer:
Just report the other guy or take down his answer because he was not even trying to help but the answer is Decreases
Step-by-step explanation:
Explain how you found your answer
Answer:
29°
Step-by-step explanation:
151° + a=180°
We know the sum of angles in a straight line is 180°
a= 180°-151°
The sign changed as it changed sides
a= 29°