Answer:
y = 16, don't know if I'm 100% right but hope this helps.
Step-by-step explanation:
since they both equal Y they may be equal to each other
Then you would subtract 2x from both sides canceling it out on one side
2x + 8 = 5x - 4
-2x -2x
This would make the equation 8 = 3x - 4
next you add the 4 from both sides
8 = 3x - 4
+4 +4
This will leave you with 12 = 3x
now you divide 3 from both sides and 12/3 = 4 makes X = 4
next you take (4) and plug it in to one of the equations
y = 2(4) + 8
y = 8 + 8
y = 16
SU: ST is 4:1
picture below
Step-by-step explanation:
Length of SU to ST = 4 : 1.
=> (3m + 6) : m = 4 : 1
=> 3m + 6 = 4m
=> m = 6.
ramona has $21 that she can spend on food for her dog. dry dog food costs 7.50 per small bag
Answer:
Ramona can buy 2 bags.
Step-by-step explanation:
7.5 x 3 = 22.5. This is over her budget.
Therefore Ramona can buy 2 bags.
You didn't specify what the question was asking for, I'm guessing that this is it.
Please help me with this Its kind of frustrating
Answer:
you have too see what makes 36, 42 ,48 and 27
Step-by-step explanation:
[tex]\frac{1}{2} x \frac{3}{4}[/tex]
A ball is launched into the sky at 54.4 feet per second from a 268.8 meter tall building. The equation for the ball’s height, h, at time t seconds is h = -3.2t^2 + 54.4t + 268.8. When will the ball strike the ground?
Answer:
7.41
Step-by-step explanation:
Vertical component:
S = 268.8
U = 0
V =?
A = 9.8
T=?
S = ut + 0.5at^2. u = 0
268.8 = 0.5x9. 8xt^2
T = 7.41 seconds
Answer:
4.42 seconds is the correct answer
Step-by-step explanation:
4x-4y+4z=8
9x+3y+z=6
16x+4y+z=2
9514 1404 393
Answer:
(x, y, z) = (-1, 3, 6)
Step-by-step explanation:
The augmented matrix for the system is ...
[tex]\left[\begin{array}{ccc|c}4&-4&4&8\\9&3&1&6\\16&4&1&2\end{array}\right][/tex]
Your graphing or scientific calculator can tell you the solution to this system is ...
(x, y, z) = (-1, 3, 6)
__
If you want to solve this by hand, it can work well to divide the first equation by 4 to get ...
x -y +z = 2
This can be subtracted from the other two equations to eliminate z.
(9x +3y +z) -(x -y +z) = (6) -(2) ⇒ 8x +4y = 4
(16x +4y +z) -(x -y +z) = (2) -(2) ⇒ 15x +5y = 0
These two equations can be reduced to standard form:
2x +y = 13x +y = 0Subtracting the first equation from the second, we have ...
(3x +y) -(2x +y) = (0) -(1) ⇒ x = -1
Substituting into the first gives y:
2(-1) +y = 1
y = 3 . . . . . . . add 2
Then we can find z from the reduced first equation above:
z = 2 -x +y = 2 -(-1) +3 = 6
Then the solution is (x, y, z) = (-1, 3, 6).
Can some one plz help i will give BRAINLIEST.
If there is a 10% chance of a certain flower species having blue petals, then is it possible to observe only 85 flowers with blue petals in a field of 1000 flowers? Explain your reasoning.
Answer:
Yes
Step-by-step explanation:
10% chance does not mean it is always 10 percent. 10 percent is the theoretical property. The experimental probability can be different than the theoretical property.
Find the slope of the line through each pair of points
(1, -19), (19, -2)
In 1839, Georgia produced 326,000 bales of cotton . By 1860, the state produced 700,000 bales. What was the approximate percent of increase in the bales produced during that 21-year period?
Answer Choices .
46 percent
147 percent
4.7 percent
115 percent
The answer is 46 percent
3x=210 what's x equal
Answer:
x = 70
:-))
..... . .. . . . . ... ..
What is the unit rate of store A?
•$0.75 / notebook
•$0.50 / notebook
•$0.80 / notebook
•None of the above
What is the unit rate of store B ?
•$0.60 / notebook
•$0.30 / notebook
•$0.55 / notebook
•None of the above
Which store has the better deal per notebook? *
•Store A
•Store B
•The unit rate is the same at both stores
STORE B BECAUSE LOW RATES IS BETTER THAN HIGH
Passes through (-4,-5) Slope = -314
Please Helppppp!!!!!!!!!!!!
Answer:
[tex]y=-314x-1261[/tex]
Step-by-step explanation:
When we are writing an equation we have to put it in slope-intercept-form [tex]y=mx+b[/tex]. We already know the slope it's -314, we replace m with the slope. Now we have to find b which is the y-intercept. So what we have to do is plug in the ordered pair into the equation. -4 for x and -5 for y.
[tex]y=mx+b\\-5=-314(-4)+b[/tex]
Now we solve
[tex]-5=-314(-4)+b\\-5= 1256+b\\b=-1261[/tex]
So now that we know everything we need we plug in and....
[tex]y=mx+b\\y=-314x-1261[/tex]
we've got our equation!
Answer:
The line slants upward, so the slope is positive.
-7(2-3x) help solve please
Answer:
-14+21x
Step-by-step explanation:
Distrubute
-7 times 2= -14
-7 times 3x= -21x
Answer:
The answer is -14 + 21x
Step-by-step explanation:
Distribute -7 to 2 and -3x
-7 × 2 = -14
-7 × - 3x = 21x
= -14 + 21x
A rectangle measures 7.08 cm by 3.2 cm.
Work out the area of the rectangle.
Answer:
22.67 cm^2
Step-by-step explanation:
The computation of the area of the rectangle is shown below:
As we know that
Area of the rectangle = Length × breadth
Here we assume the length be 7.08 cm
Or breadth be 3.2 cm
Or if we assume them inverse like length be 7.08 cm and breadth be 3.2 cm
SO the area of the rectangle is
= 7.08 cm × 3.2 cm
= 22.67 cm^2
In the both cases the answer would be the same
PLEASE HELP
The vertex of this parabola is at (-2, 1). Which of the following could be its
equation?
Answer:
A. [tex]x = 4\cdot (y-1)^{2}-2[/tex]
Step-by-step explanation:
From the image attached below statement we understand that a parabola with a horizontal axis of symmetry and whose vertex is centered at [tex]V(x,y) = (h,k)[/tex] is defined by the following expression:
[tex]x-h = C\cdot (y-k)^{2}[/tex] (1)
Where [tex]C[/tex] is the parabola factor, when [tex]C > 0[/tex], the parabola is oriented in the +x direction, otherwise is oriented in the -x direction. Hence, we may conclude that equation of the parabola is of the form:
[tex]x+2 = C\cdot (y-1)^{2}[/tex]
[tex]x = C\cdot (y-1)^{2}-2[/tex], where [tex]C > 0[/tex]
The correct answer is A.
Answer:
A
Step-by-step explanation:
Hopefully this helps
Solve 3a – 8= 5a + 12
Show your work. (please)
Answer:
a = - 10
Step-by-step explanation:
3a – 8 = 5a + 12
3a – 8 + 8 = 5a + 12 + 8
3a = 5a + 20
3a - 5a = 5a + 20 - 5a
- 2a = 20
[tex]\dfrac{-2a}{-2}=\dfrac{20}{-2}[/tex]
a = - 10
Find the scale factor of PQRS to JKLM and the values of w, x, and y.
The scale factor of PQRS to JKLM is 4/5 and the values of w, x and y are 20, 12.5 and 20 respectively.
What is Scale Drawing?A scale drawing is a drawing made by enlarging or reducing the size of the original object.
The factor by which the drawing is enlarged or reduced is called the scale factor.
Given two quadrilaterals PQRS and JKLM.
Since the shape is similar, the angles are equal and thus are similar figures.
The corresponding sides of two similar figures are proportional.
Scale factor of PQRS to JKLM = QR / KL = 12 / 15 = 4/5
Using the proportional rule for similar figures,
KL / QR = LM /RS = MJ / SP = JK / PQ
15 / 12 = x / 10 = y / 16 = 25 / w
Scale factor = 15/12 = 5/4
Consider 15 / 12 = x / 10.
12x = 150
x = 12.5
Consider 15 / 12 = y / 16
12y = 15 × 16
y = 20
Consider 15 / 12 = 25 / w
15w = 12 × 25
w = 20
Hence the option d is the correct answer.
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Which graph represents the function
Answer:
The Fourth One.
The one with 3 lines, 1 intersecting the origin, one in quadrant 1, one in quadrant 3
hope it helps!
fiona´s laptop computer weighs 2.5 kilograms. What is the weight of the computer in grams?
Answer:
2,500 grams
Step-by-step explanation:
2.5 kilograms = 2,500
Therefore, the laptop is 2,500 kilograms.
hope i helped
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
For a charity event, raffle tickets are printed such that they have a vowel (excluding ») as the first character and a
prime number less than 10 as the second digit. (Note that 1 is not a prime number.)
The probability that the winning ticket has the vowel contained in the word event and the digit is the number of
letters in the word event is 1/20 .
Reset
Next
Answer:
yes 1/20 is correct
Step-by-step explanation:
The probability that the winning ticket will have the letter e on it would be P=5%.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
For the probability of two independent events:
P(A and B) = P(A) P(B)
so we have to find the probability for each event to happen.
For a charity event, raffle tickets are printed such that they have a vowel (excluding ») as the first character and a prime number less than 10 as the second digit.
(Note that 1 is not a prime number.)
There are 5 vowels in the alphabet (a, e, i, o, and u).
Therefore the probability for the first letter to be e
P(A) = 1/5
We also know there are 4 prime numbers between 0 and 10 (2, 3, 5, 7)
so the probability for the number to be a 5 is:
P(B) = 1/4
Now, the probability of getting a ticket that starts with an e and ends with a 5
P(A and B) = P(A) P(B)
= 1/4 x 1/5
= 1/20
Therefore, the probability is 5%.
Learn more about probability here;
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Find the Value of “Y”.
Answer:
26
Step-by-step explanation:
7x - 28 = 5x + 12 and 5x + 12 + y = 180
The angle (7y - 28) and angle y are supplementary angles which means their sum is 180°
7y - 28 + y = 180 add like terms
8y - 28 = 180 add 28 to both sides
8y = 208 divide both sides by 8
y = 26
For a submarine cable, the range of signalling is governed by the function
f(r) = r^2 ln(1/r)
where 0
Find df/dr.
Answer:
[tex]\frac{df}{dr} = (-r) + log(\frac{1}{r} )( 2 r)[/tex]
Step-by-step explanation:
Explanation
Given function f(r) = r² log r ....(i)
Apply derivatives formula
[tex]\frac{d}{dx} UV = U^{l} V + V^{l} U[/tex]
[tex]\frac{d}{dx}x^{n} = nx^{n-1}[/tex]
[tex]\frac{d}{dx}log x = \frac{1}{x}[/tex]
Differentiating equation (i) with respective to 'r' , we get
[tex]\frac{df}{dr} = r^{2} (\frac{1}{\frac{1}{r} } )\frac{d}{dr} (\frac{1}{r } )+ log(\frac{1}{r} ) 2 r[/tex]
[tex]\frac{df}{dr} = r^{2} (\frac{1}{\frac{1}{r} } )(\frac{-1}{r^{2} } )+ log(\frac{1}{r} ) 2 r[/tex]
Final answer:-
[tex]\frac{df}{dr} = (-r) + log(\frac{1}{r} )( 2 r)[/tex]
A baker has 2 2/3 cups of flour for her recipe, but she only has a 1/3 cup scoop. How many scoops will she need for the recipe?
Suppose that populations of men and women have the following summary statistics for their heights (in
centimeters):
Mean
Standard deviation
Men
HM = 172
M = 7.2
Women
Uw = 162
ow = 5.4
Both distributions are approximately normal. Suppose we randomly select a man and a woman from each
population, and calculate the difference between their heights. We can assume that their heights are
independent
Find the probability that the woman is taller than the man
You may round your answer to two decimal places
IN
P woman taller
Answer:
.13
Step-by-step explanation:
172-162 = 10
We can find the standard deviation of D by adding the variances of the heights and taking the square root:
σ
D
2
σ
D
2
σ
D
=σ
M
2
+σ
W
2
=7.2
2
+5.4
2
square root of 81
=9
Representing probability with area
When D= M-W =0, their heights are equal. When the man is taller, D is positive, and when the woman is taller, D is negative. Since we know the distribution of the difference D is normally distributed, the probability that the woman is taller than the man can be found by calculating the shaded area below D=0, in the corresponding normal distribution:
A standard normal curve is plotted on a horizontal axis representing D, that goes from negative 17 to 37. The mean, or mu sub D, = 10. The standard deviations, or sigma sub D = 9. The value 0 is marked. The area under the curve to the left of 0 is shaded, representing the probability that the woman is taller. The area to the right represents the probability that the man is taller.
normalcdf:
lower bound: −9999
upper bound: 0
μ=10
σ=9
Using subtraction of normal variables, it is found that there is a 0.1335 = 13.35% probability that the woman is taller than the man.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X. When two measures are subtracted, the mean is the subtraction of the means while the standard deviation is the square root of the variances.In this problem:
Men have mean weight of 172 cm, women of 162 cm, hence, for the distribution of the differences, the mean is [tex]\mu = 162 - 172 = -10[/tex].The standard deviation is the square root of the sum of the variances, hence [tex]\sigma = \sqrt{7.2^2 + 5.4^2} = 9[/tex]The probability of the women being taller is P(X > 0), which is 1 subtracted by the p-value of Z when X = 0.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0 - (-10)}{9}[/tex]
[tex]Z = 1.11[/tex]
[tex]Z = 1.11[/tex] has a p-value of 0.8665.
1 - 0.8665 = 0.1335
0.1335 = 13.35% probability that the woman is taller than the man.
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Is the following equation proportional or non-proportional?
y = -4x - 3
Answer:
proportional
Step-by-step explanation:
A roofer leaned a 16-foot ladder against a house. If the base of the ladder is 5 feet from the house, how high up the house does the ladder reach?
Answer:
15.20feet
Step-by-step explanation:
Length of the ladder = 16foot (hypotenuse)
BAse of the ladder from the house = 5feet (adjacent)
height of the house = x (opposite)
Using the pythagoras theorem
hyp^2 = opp^2 + adj^2
16^2 = 5^2 + opp^2
256 = 25 + opp^2
opp^2 = 256-25
opp^2 = 231
opp =√231
opp = 15.20
Hence the house is 15.20feet high up the house
Find the slope of the line.
Answer:
79
Step-by-step explanation:
it is 556
What is the slope of the line below?
(4,5)
(-2,2)
Answer:
1/2 or one half
Step-by-step explanation:
Answer:
The slope is 1/2.
Step-by-step explanation:
To find the slope of a line, divide yB - yA by xB - xA.
(yB - yA)/(xB - xA)
(2 - 5)/ (-2 - 4)
-3/-6
Dividing two negatives make a positive.
0.5
The slope is 0.5, or 1/2.
The table below shows the relationship between the number of gallons of fremaining in a truck and the number of hours the truck has been driven.
Driving a Truck
Time Driven (h) 0 2.5 5 7.5 10
Fuel (gal)
175
125 100
200
150
Which of the following best represents the rate of change for the number of gallons of fuel remaining with respect to the number of hours the truck has been driven?
-200 gal/h
-10 gal/h
0-1 gal/h
O-to galh
Answer:
-10 gal/h
Step-by-step explanation:
Rate of change for the number of gallons of fuel remaining and the number of hours the truck has driven is (-10) gallons per hour.
Option (2) will be be the answer.
Average rate of change of a function is given by the expression,
Average rate of change = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table given,
Two points are (0, 200) and (2.5, 175),
Average rate of change = [tex]\frac{175-200}{2.5-0}[/tex]
= [tex]-\frac{25}{2.5}[/tex]
= -10 gallons per hour
Therefore, average rate of change for the given table will be Option 2. (-10) gallons per hour.
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If you have a 10% off coupon and you buy a 20$ shirt how much you pay with the coupon?
Answer:
18.00$
Step-by-step explanation:
Answer:
$18.00
Step-by-step explanation:
Thus, a product that normally costs $20 with a 10 percent discount will cost you $18.00, and you saved $2.00. You can also calculate how much you save by simply moving the period in 10.00 percent two spaces to the left, and then multiply the result by $20 as follows: $20 x .10 = $2.00 savings. Furthermore, you can get the final price by simply deducting .10 from 1 and multiplying it by $20 as follows: (1 - .10) x $20 = $18.00 final price.
