Answer:
4(x-3) = 8
Step-by-step explanation:
4 times the difference would be 4(x-y), and we already know what y is, which is 3. Finally, the "is 8" means "equals 8" giving us our equation: 4(x-3) = 8.
Answer:
4(x-3) = 8
Step-by-step explanation:
The size of a jar of coffee is increased by 1/5. The new size is later reduced by 1/5.
Is the new jar smaller, the same size or larger than the original? Explain how you worked out your answer.
Answer:
The new jar is smaller.
Step-by-step explanation:
Like what the statements says, the normal size of coffee is reduced by 1/5 and it become as the new jar which is smaller than the original.
x^2+24x+c
I need help
Answer: c=144
Step-by-step explanation:
Is either x = 6 or x = 8 a solution to 12 + x = 20? O A. Neither is.a solution. B. X = 6 is a solution, but x = 8 is not. C. X= 8 is a solution, but x = 6 is not D. They are both solutions. SUBMIT
Answer:
C. x = 8 is a solution, but x = 6 is not
Step-by-step explanation:
12 + 6 = 18
12 + 8 = 20
20 - 12 = 8
Express in simplest radical form
Answer:
gg
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
2 x 2 =4
solve for x. show your work.
Hello!
[tex]\large\boxed{x = 8}[/tex]
The two angles pictured are corresponding angles, so they are congruent.
Therefore:
17x - 4 = 12 + 15x
Isolate for x by subtracting 15x from both sides:
2x - 4 = 12
Add 4 to both sides:
2x = 16
Divide both sides by 2:
x = 8.
Answer:
x=8
Step-by-step explanation:
These angles are what we call corresponding angles. This simply means that they are the same. Therefore, we set 17x-4 equal to 12+15x. To isolate x, add 4 to both sides, and subtract 15x from both sides. 2x=16. x=8. To check, both angles = 132 degrees.
Laura is saving money to buy a game. The game cost $36, and so far she has saved three- fourths of this cost. How much money has Laura saved
Answer:
27
Step-by-step explanation:
3/4*36=27
therefore the answer is
27
Part 2: Free Response 11. The distribution of actual weights of 8-ounce chocolate bars produced by a certain machine is Normal with mean 8.1 ounces and standard deviation 0.1 ounces. Company managers do not want the weight of a chocolate bar to fall below 8 ounces, for fear that consumers will complain. (a) Find the probability that the weight of a randomly selected candy bar is less than 8 ounces.
Answer:
0.1587 = 15.87% probability that the weight of a randomly selected candy bar is less than 8 ounces.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The distribution of actual weights of 8-ounce chocolate bars produced by a certain machine is Normal with mean 8.1 ounces and standard deviation 0.1 ounces.
This means that [tex]\mu = 8.1, \sigma = 0.1[/tex].
(a) Find the probability that the weight of a randomly selected candy bar is less than 8 ounces
This is the pvalue of Z when X = 8. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{8 - 8.1}{0.1}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587
0.1587 = 15.87% probability that the weight of a randomly selected candy bar is less than 8 ounces.
The legs of a right triangle are in the ratio 3:4. If the hypotenuse is 10, what is the length of the longer leg?
Answer:
8
Step-by-step explanation:
ratios of legs = 3x and 4x
Pythagorean theorum:
A^2+B^2=C^2
3x^2+4x^2=10^2
9x^2+16x^2=100
25x^2=100 --> divide by 25
x^2=4 --> x=2
length of longer leg is 4x = 4 x 2 = 8
The length of the longer leg of the triangle is 8.
What is the Pythagorean theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
Given that, the legs of the right triangle are in the ratio of 3:4.
Therefore, let the legs of the triangles be 3x and 4x.
Since the hypotenuse of the triangle is 10, using the Pythagorean theorem it follows:
10² = (3x)² + (4x)²
100 = 9x² + 16x²
100 = 25x²
x² = 4
x = 2
Therefore, the lengths of the legs are:
3(2) = 6, and
4(2) = 8
Hence, the length of the longer leg of the triangle is 8.
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Terri Vogel, an amateur motorcycle racer, averages 129.71 seconds per 2.5 mile lap (in a seven-lap race) with a standard deviation of 2.28 seconds. The distribution of her race times is normally distributed. We are interested in one of her randomly selected laps.
Find the percent of her laps that are completed in less than 134 seconds. (Round your answer to two decimal places.)
The fastest 5% of her laps are under how many seconds? (Round your answer to two decimal places.)
sec
Answer:
97% of her laps are completed in less than 134 seconds.
The fastest 5% of her laps are under 125.96 seconds.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 129.71, \sigma = 2.28[/tex]
Find the percent of her laps that are completed in less than 134 seconds.
We have to find the pvalue of Z when X = 134. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{134 - 129.71}{2.28}[/tex]
[tex]Z = 1.88[/tex]
[tex]Z = 1.88[/tex] has a pvalue of 0.9699, so 97% of her laps are completed in less than 134 seconds.
The fastest 5% of her laps are under how many seconds?
This is the 5th percentile of times, which is X when Z has a pvalue of 0.05, that is, X when Z = -1.645. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.645 = \frac{X - 129.71}{2.28}[/tex]
[tex]X - 129.71 = -1.645*2.28[/tex]
[tex]X = 125.96[/tex]
The fastest 5% of her laps are under 125.96 seconds.
Help me how to prove triangles inequality
it describes the relationship between the three sides of a triangle. any triangle the sum of length of two sides is always great er then the third side.
Chase is making a cake for his daughter's birthday. The normal recipe calls for 8 ounces of butter and 16 ounces of sugar. Chase then decides to make a slightly smaller cake and only use 6 ounces of butter. How many ounces of sugar will he need in his smaller cake?
Answer:
A lot
Step-by-step explanation:
Why am I baking cakes. I SUCK.
There are 12 ounces of sugar will he need in his smaller cake.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
The normal recipe calls for 8 ounces of butter and 16 ounces of sugar.
Let the amount of sugar will he need in his smaller cake = x
So, By definition of proportion, we get;
⇒ Amount of Butter / Amount of Sugar
⇒ 8 / 16 = 6 / x
⇒ x = 6 × 16 / 8
⇒ x = 12 ounces
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Stella is going to invest in an account paying an interest rate of 7% compounded
continuously. How much would Stella need to invest, to the nearest ten dollars, for
the value of the account to reach $1,650 in 9 years?
Answer:
$901.64
Step-by-step explanation:
Given data
rate= 7%
Final amount = $1650
time= 9 years
Let us apply the compound interest formula to solve for the Principal amount P
A=P(1+r)^t
substitute
1650=P(1+0.07)^9
1650=P(1.07)^9
1650=P1.84
Divide both sides by 1.84
P=1650/1.83
P=901.64
Hence she needs to invest $901.64
Answer:
880
Step-by-step explanation:
If Angela's $98,760 home appreciates three percent a year, what is the appreciated
value in 5 years?
Answer:
2962.8
Step-by-step explanation:
you wants to divide how much percent into the house in three years then the answer would be
what is 49/100 as a decimal?
Answer:
0.49
Step-by-step explanation:
49/100 = 0.49
I uh apparently need to explain more
Which is bigger 57.8% or 0.578 ?
Answer:
They are the same
Step-by-step explanation:
When you convert 0.578 into a percentage you get 57.8%
When you convert 57.8% into a decimal you get 0.578
Can anyone help me pls
Answer:0.125
Step-by-step explanation:
There is only 1/8 that is whistle so convert into percent and get 0.125. Hope this helps
Answer:
0.125
Step-by-step explanation:
There are 8 possibilities.
Only 1 whistle.
1/8 = 0.125
What is the value of the angle on the top left of this quadrilateral
112°
88°
90°
70°
how many HOURS are in d days and h hours?!
Answer:
24
Step-by-step explanation:
because its 24 gkrjkkmn lol
The number of transistors per IC in 1972 seems to be about 4,000 (a rough estimate by eye). Using this estimate and Moore's Law, what would you predict the number of transistors per IC to be 20 years later, in 1992?
From the Moore's Law, the predicted number of transistors per IC in 1992 would be approximately 4,096,000.
Given data:
Based on this exponential growth pattern, use the estimate of 4,000 transistors per IC in 1972 to predict the number of transistors per IC in 1992.
To predict the number of transistors per IC in 1992, determine how many doublings occurred during the 20-year period from 1972 to 1992.
Since each doubling represents a multiplication by 2, calculate the number of doublings as follows:
Number of doublings = (1992 - 1972) / 2
Number of doublings = 20 / 2
Number of doublings = 10
Now, use this number of doublings to predict the number of transistors per IC in 1992:
Predicted number of transistors per IC in 1992 = 4,000 * (2^10)
Predicted number of transistors per IC in 1992 = 4,000 * 1,024
Predicted number of transistors per IC in 1992 ≈ 4,096,000
Hence, based on Moore's Law and the estimate of 4,000 transistors per IC in 1972, the predicted number of transistors per IC in 1992 would be approximately 4,096,000.
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6x - 9x - 5 + 8 + 7x
Show your work.
Answer:
6x−9x−5+8+7x
=6x+−9x+−5+8+7x
Combine Like Terms:
=6x+−9x+−5+8+7x
=(6x+−9x+7x)+(−5+8)
=4x+3
Answer:
=4x+3
Step-by-step explanation:
I hope this helps
Answer:
=4x + 3
Step-by-step explanation:
Add the numbers
6
PLEASE HELP I NEED HELP WITH AN ALGEBRA 2 QUESTION ILL GIVE BRAINLEST
Answer:
the zeros of the function are those that result, when plugged into the equation, in zero; the zeros are -3, 1, and 1/2
Step-by-step explanation:
all possible factors:
±3/2, ±1/2, ±3, ±1
2x³ + 3x² - 8x + 3
let '2' = p and let '3' = q
factors of 'p' are 1 and 2
let '3' = q
factors of 'q' are 1 and 3
possible factors are q/p
The price of an item has been reduced by 60%. The original price was $52
a vendor had 200 balloons for sale .If he sold 125 of them,what percent remains unsold?
Answer: 37.5%
Step-by-step explanation:
200-125=75
75 divided by 200 is 0.357
since we need percent so were gonna move the decimal point 2 places so the final answer is 37.5% remain unsold
A student used f(x)=5.00(1.012)^x to show how the balance in a savings account will increase over time. What does the 5.00 represent?
Answer:
x=0, which represents the savings at the beginning of the savings plan
Step-by-step explanation:
Intercept, when x (the number of years/months) is zero. which represents the savings at the beginning of the savings plan
This 3rd and 2nd grade lvl paper dont ask why
Answer:
Across
Evapotranspiration is the sum of evaporation from plants.
Earth is surrounded by invisible gases that form a thin protective blanket that we call the atmosphere.
Water flows downhill because gravity is a form of potential energy – and the water, or anything that falls or rolls downward – flows in response to differences in potential energy (from high to low). ... Therefore, the potential energy that drives groundwater movement includes both pressure and gravity.
Precipitation: hail, rain, freezing rain, sleet and snow.
Condensation is the opposite of vaporization. Condensation occurs when a gas loses energy, slows in motion so that its cohesive force pulls the molecules close, but the molecules still have enough energy to break away from one connection only to connect with another molecule.
Down
Alternatively evaporation of the liquid should leave a solid residue. ... Dissolving is a reversible process and the solute can be recovered from a solution by evaporation though it will not always be in the exactly the same form as at the start.
Boiling. If a liquid is heated the particles are given more energy and move faster and faster expanding the liquid.
Answer: No entiendo la historia y no vengas por mí, solo quería los puntos jajaja
Step-by-step explanation:
Amelia pays $24 to rent a boat at the lake for up to six hours she constructs the inequality and number line below to represent the number of hours X she can use the boat?
Simplify 42/56 i am gonna need to show work so i dont fail
Answer:
42/56 = 3/4
Step-by-step explanation:
Answer:
The simplified fraction is [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Simplifying Fractions
A given fraction [tex]\frac{a}{b}[/tex] can be simplified if a and b have common factors, i.e. if they can be evenly divided by at least one equal number.
The fraction is:
[tex]\frac{42}{56}[/tex]
We'll simplify it by 2 since both numbers are even:
[tex]\frac{42}{56}=\frac{21}{28}[/tex]
The next prime common factor is 7. Dividing by 7:
[tex]\frac{42}{56}=\frac{21}{28}=\frac{3}{4}[/tex]
Thus, the simplified fraction is [tex]\frac{3}{4}[/tex]
A section of a deck is shaped like a trapezoid. For this section, the length of one base is 33 feet, and the length of the other base is 42 feet. The height is 24 feet. What is the area of this section of the deck?
Answer:
I think the answer is 900
Step-by-step explanation:
Use the formula to find the area of a trapeziod (search it up the find it)
Then fill in the numbers where they belong.
Law of Sines!
Am I on the right track?
sin34/x = sin27/11 = sinθ/θ
Answer:
x=13.5
Step-by-step explanation:
You are on the right track with sin34/x=sin27/11 (remember you don't need all three angles/sides)
[tex]\frac{sin34}{x}[/tex] = [tex]\frac{sin27}{11}[/tex]
(sin27)(x)=6.15112193818
x=6.15112193818/0.45399049974
x=13.5490102584
HELP I'M BEING TIMED I WILL GIVE 5 points... a thankyou...5 stars... and a brainliast if correct.
Geoffrey is evaluating the expression StartFraction (negative 3) cubed (2 Superscript 6 Baseline) Over (Negative 3) Superscript 5 Baseline (2 squared) EndFraction as shown below.
StartFraction (negative 3) cubed (2 Superscript 6 Baseline) Over (Negative 3) Superscript 5 Baseline (2 squared) EndFraction = StartFraction (2) Superscript a Baseline Over (negative 3) Superscript b Baseline EndFraction = StartFraction c Over d EndFraction
What are the values of a, b, c, and d?
A. a = 4, b = 2, c = 16, d = 9
B. a = 4, b = negative 2, c = 16, d = 9
C. a = 8, b = 8, c = 256, d = 6,561
D. a = 8, b = 8, c = 256, d = negative 6,561
Answer:
i think its a or d but im hoorible at math so if its wrong im sorry
Step-by-step explanation:
Answer:
a = 4, b = 2, c = 16, d = 9
Step-by-step explanation:
Solving the first part of the question by indices,
Comparing the rightmost term with the second term in the question,
a = 4, b = 2
Solving on,
Comparing with the final term in the question,
c = 16 and d = 9
Therefore,
a = 4, b = 2, c = 16, d = 9
Step-by-step explanation: