Answer:
x = 3, y=0
Step-by-step explanation:
2x + y =6
y = x-3
Substitute the second equation into the first
2x +x-3 =6
Combine like terms
3x-3 =6
Add 3 to each side
3x-3+3 = 6+3
3x= 9
Divide each side by 3
3x/3 = 9/3
x =3
Now we need to find y
y = x-3
y = 3-3=0
y=0
A line passes through the point (-8,3) and had a slope of -3/4. Write an equation in point-slope form for this line
Answer:y-3=-3/4(x+8)
Step-by-step explanation: you plug the numbers into the formula y-y1=slope(x-x1)
Match the graph with its equation.
A.)7x-7y=-49
B.)-7x+7y=-49
C.)7x+7y=0
D.)7x+7y=49
Answer:
B) -7x + 7y = -49
Step-by-step explanation:
This is a y=x plot/line shifted by 7 units.
This can also be verified plugging in the values of x=0,y=-7 and x=7,y=0. The only equation which satisfies these points in Equation B. These points have been chosen as they're the intercepts of this plot.
Answer:
-7x+7y=-49
Step by step Explanation:
This can be verified by giving x=0 and y= -7; x=7 and y=0. The second equation only assures this. Therefore the second equation is correct.
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Solve. If a gallon of milk costs $3 now and the price is increasing 10% each year, how long before a gallon of milk costs $10?
Answer: 12.63 years
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
A = P (1 + r) t
Where:
p = original price
r = increasing rate (decimal form)
t= years
A = price after t years
10= 3 (1 + 10/100) t
10= 3(1.1)^t
10/3= 1.1^t
log 10/3 = log 1.1^t
log 10/3 = t log 1.1
log (10/3)/ log 1.1 =t
t = 12.63 years
Feel free to ask for more if needed or if you did not understand something.
The hourly wages earned by 20 employees are shown in the first box-and-whisker plot below. The person earning $15 per hour quits and is replaced with a person earning $8 per hour. The graph of the resulting salaries is shown in plot 2. A box-and-whisker plot is shown. The number line goes from 7 to 15. The whiskers range from 8 to 15, and the box ranges from 8.8 to 10.2. A line divides the box at 9.5. Plot 1 A box-and-whisker plot is shown. The number line goes from 7 to 15. The whiskers range from 8 to 11, and the box ranges from 8.7 to 10. A line divides the box at 9.6. Plot 2 How does the mean and median change from plot 1 to plot 2? The mean and median remain the same. The mean decreases, and the median remains the same. The mean remains the same, and the median decreases. The mean and median decrease.
Answer:
The mean decreases, and the median remains the same.Step-by-step explanation:
Remember that a box plot is made by the quartiles of the distribution, the maximum value and the minimum value. So, from a box plot we can deduct the range, the median and the interquartile range.
In this case, the median remains the same at $9.5 per hour. The median is indicated by the middle line of the box, and you can observe that it doesn't change.
Now, the range of the data set decreases from 7 to 3.
On the other hand, the mean must decrease, because data greater than $11 doesn't exist in the box plot number 2, and the mean is a central measure sensible to those changes.
Therefore, the right answer is The mean decreases, and the median remains the same.
Answer:
the awswer is b
Step-by-step explanation:
took the test
(-15)+(-45)/-5 .........please help
Answer:
60
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
I added (-15) + (-45) and got -60.
And i divided it by -5 and got 12.
Nina sells bracelets for $3 each, necklaces for $5 each, and anklets for $4 each. She sells 8 bracelets, 24 necklaces, and 16 anklets. How much money does she make? *
Answer:
208 dollars
Step-by-step explanation:
necklaces- 24 x 5 = 120
bracelets- 8 x 3 = 24
anklets- 16 x 4 = 64
added together- 208
Nina makes a total of $208.
$208 money does she make.
Here, we have,
To calculate how much money Nina makes, we need to determine the total revenue from selling bracelets, necklaces, and anklets.
The revenue from selling bracelets can be calculated by multiplying the number of bracelets sold (8) by the price per bracelet ($3):
Revenue from bracelets = 8 * $3 = $24
The revenue from selling necklaces is found by multiplying the number of necklaces sold (24) by the price per necklace ($5):
Revenue from necklaces = 24 * $5 = $120
The revenue from selling anklets can be calculated by multiplying the number of anklets sold (16) by the price per anklet ($4):
Revenue from anklets = 16 * $4 = $64
To find the total revenue, we sum up the revenue from each type of item:
Total revenue = Revenue from bracelets + Revenue from necklaces + Revenue from anklets
Total revenue = $24 + $120 + $64 = $208
Therefore, Nina makes a total of $208.
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answer a is 12/35
answer b is 12/37
answer c is 35/12
answer d is 35/37
Answer:
c. 35/12
Step-by-step explanation:
Use soh cah toa, tangent equals opposite over adjecent. A also remember tangent by remembering that it is the only ratio to not use the hypotenuse.
NEED HELP ASAP
Find the volume of the cylinder. r measures 7 inches, height measures 8 inches
Answer:
1230.88
Step-by-step explanation:
Volume= pi(r^2)h
Volume=3.14(49)(8)
Volume=1230.88
If I have a probability of 2/5, what is the percentage of probability.
A. 52%
B. 40%
C. 2.5%
D. 80%
Answer: 40%
Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.
So to write 2/5 as a percent, we need to find a fraction equivalent to 2/5 that has a 100 in the denominator.
We can do this by setting up a proportion.
[tex]So[/tex] [tex]we[/tex] [tex]have[/tex] [tex]\frac{2}{5} = \frac{n}{100}[/tex].
Now, we can use cross-products to find the missing value.
So we have (2)(100) which is 200 is equal to (5)(n) or 5n.
So we have 200 = 5n.
Next, dividing both sides of the equation by 5, we have 40 = n.
So 2/5 is equal to 40/100 or 40%.
The workers in a senate office said that they received about 700 phone calls from voters last week. Which could be the number of phone calls the office received that would round to 700 when rounded to the nearest 100?
Answer:
see below
Step-by-step explanation:
Any number between 650 and 749, 650 and 749 are included as well
if number is 50 and above it goes up
A square pyramid has a base with a total area of 144 m2 and the volume of 384m3, what is the slant height of the pyramid
Answer:
8mStep-by-step explanation:
Volume of a square based pyramid is expressed as [tex]V = a^{2} \frac{h}{3}[/tex] where;
a is the base edge
a² is the base area
h is the slant height
Given Volume of the pyramid V = 384m³
Base area a² = 144m²
h =?
On substituting to get the slant height;
[tex]384 = 144*\frac{h}{3}\\ 1152 = 144h\\h = \frac{1152}{144} \\h = 8m[/tex]
The slant height of the pyramid is 8m
Which figure is a translation of figure 1?
Figure
1
2
5
4
Answer:
4
Step-by-step explanation:
In a translation the shapes are the same, congruent, and do not change direction or size.
Answer:
the answer is 4
Step-by-step explanation:
bc it is
Two sides of a triangle are as follows: 2 centimeters and 5 centimeters. Describe the possible lengths of the third side
Answer:
3cm < Third side < 7cm
Thus third side can take any value between 3cm and 7 cm
(note: excluding 3 cm and 7 cm)
If the value are integral then possible values of third side are
4cm, 5cm,6cm
Step-by-step explanation:
This question can be solved using given by Triangle Inequality Theorem Given below.
Sum of two sides is always greater than value of third sideDifference of two sides is always less than value of third sideGiven two sides are 2cm, 5cm
Sum of two sides = (2+5)cm = 7 cm
Difference of two sides = (5-2) = 3 cm
Let the third side be X
thus according to Triangle Inequality Theorem
X < Sum of two sides of given triangle
X < 7cm -----1
X > Difference of two sides
X > 3cm ----1
combining expression 1 and 2 we have
3cm < X < 7cm
Thus third side can take any value between 3cm and 7 cm
(note: excluding 3 cm and 7 cm)
If the value are integral then possible values are
4c, 5cm,6c
Amy must choose a number between 55 and 101 that is a multiple of 3, 6, and 7. Write all the numbers that she could choose. If there is more than one number, separate them with commas.
Answer:
84
Step-by-step explanation:
L.C.M. of 3,6,7=42
42×1=42
42×2=84
42×3=126
55<84<101
I need the answer please help me
Answer:
opposite angles have the same number of degrees. so answer is 63 degrees.
Step-by-step explanation:
Answer:
Step-by-step explanation:
∠NMR = 63°
Vertically opposite angles are equal.
Which value for r will make 3x + 10 > 75 correct?
Answer:
The answer is 21
Step-by-step explanation:
Help!!!!!!
Describe the process you can use to solve a system of equations using a matrix.
Answer:
To solve a system of linear equations using an inverse matrix, let A be the coefficient matrix, let X be the variable matrix, and let B be the constant matrix.
Step-by-step explanation:
It just be that way sometimes
A line passes through the point (6,-6) and has a slope of 3/2. Write a equation in point-slope form for this line
Answer: [tex]y+6=\frac{3}{2} (x-6)[/tex]
Step-by-step explanation:
use the equation [tex]y-y_{1} =m(x-x_{1})[/tex]
we know the slope, y, and x, so plug in
[tex]y-(-6)=\frac{3}{2} (x-(6))[/tex]
[tex]y+6=\frac{3}{2} (x-6)[/tex]
Answer:
[tex]y=\frac{3}{2}x-15[/tex]
Step-by-step explanation:
The point-slope equation is [tex]y-y_{1} =m(x-x_{1} )[/tex]
Here our m is our slope which is [tex]\frac{3}{2}[/tex] and our [tex](x_{1},y_{1})[/tex] point is (6, -6)
Plugging in these values to our equation gives us
y - (-6) = [tex]\frac{3}{2}[/tex](x - 6) → distribute the negative to the -6 on the left side and then distribute the [tex]\frac{3}{2}[/tex] to the x term and the -6 on the right side → y + 6 = [tex]\frac{3}{2}x[/tex] - 9 → then subtract the 6 from both sides → [tex]y=\frac{3}{2} x-15[/tex]
Match the following equation to the correct situation.
⅙(t+48)=⅙t+8
A. The number of tickets that Sandra bought at the State Fair was ⅙ of the sum of t and 8
B. Kyle had 8 shoes less than ⅙ of the number of shoes that Tanya had, t.
C. The department store received 8 more than t divided by ⅙ returns after the holiday.
D. Colin donated 8 toys more than ⅙ of the number of the toys that Emory donated to a charity.
Answer:
option D is right
...............
A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, find the
probability that a blue marble will be drawn.
a. 1/3
b. 1/11
c. 1/7
d. 3/14
Answer:
The probability should be 3/14
Answer:
3/14
Step-by-step explanation:
If you want to find the probability of a blue marble being drawn, I would add up the total amount of marbles, which is 4+3+7=14. There are 3 blue marbles out of the 14 total marbles, and as a fraction, that would be 3/14.
Hope this helps!
What is the sum of these expressions: (-3.5t - 4s + 4.5) + (-7.1 - 0.3s + 4.1t)
Answer:
0.6-4.3s-2.6
Step-by-step explanation:
Answer:
-4.3s + 0.6t - 2.6
Step-by-step explanation:
A science class has 3 girls and 7 boys in the seventh grade and 4 girls and 4 boys in the eighth grade. The teacher randomly selects a seventh grader and an eighth grader from the class for a competition. What is the probability that the students she selects are both boys?
Answer:
I think it is a
Step-by-step explanation:
help will give you brainliest!!!
Answer:
Hello There Again. The correct answer is B. C. And E.
Explanation:
Because it shows that Stacy section of the numbers 2, 3, 4, 5, and 6 to play they game. but the statement Is D. but why is D. because it say that it is less likely that the power will on add numbered section and why i pick E. because it shows that Stacy use the spinner of the six number to play the game. And why it B. because of the pointer of the landing is a even-numbered section. Hope It Helps! .ω.
Which function describes the graph shown below?
On a coordinate plane, a curve crosses the y-axis at (0, negative 2), increases to negative 2.5, decreases to negative 2.5, and then increases again.
y = one-half sine (x) minus 2
y = 2 sine (x) minus one-half
y = one-half cosine (x) minus 2
y = 2 cosine (x) minus one-half
Answer: A
Step-by-step explanation:
The amplitude is .5 and the vertical translation is -2. So, y= 1/2sin(x)-2
Answer:
A. y= 1/2 sin(x)-2
Step-by-step explanation:
Correct in edge 2021!
Stacy uses a spinner with six equal sections numbered 2, 2, 3, 4, 5, and 6 to play a game. Stacy spins the pointer 120 times and records the results. The pointer lands 30 times on a section numbered 2, 19 times on 3, 25 times on 4, 29 times on 5, and 17 times on 6. How does the theoretical probability compare with the experimental probability of landing on an even number? Use the drop-down menus to explain your answer. The_______ probability is greater than the_____ probability of landing on an even number. The_______ probability is 72/120 and the_______ probability is 80/120.
Answer:
The theoretical probability is greater than the experimental probability of landing on an even number. The experimental probability is 72/120 and the theoretical probability is 80/120.
Step-by-step explanation:
Experimental probability of landing on an even number: (30+25+17)/120 = 72/120 = 0.6
Even outcomes: 4
Total outcomes: 6
Theoretical probability of landing on an even number: 4/6 = 0.67
After 120 spinners it is expected 4/6*120 = 80 even results
The polynomial f(x) is written in factored form:
f(x) = (x - 3)(x + 8)(x - 11)
What are the zeros of the polynomial function?
O x = 3, x = 8, x = 11
O x = 3, x = -8, x = 11
OX=-3, x = 8, X = -11
x = -3, x = 3, x = -8, x = 8, x= -11, x = 11
Answer:
F(x)=(x-3)(x+8)(x-11)=0
(x-3)=0, (x+8)=0, (x-11)=0
X=3
X=-8
X=11
Which ordered par Woud form a proportional relationship with the point graphed Below?
A (10,10)
B (25,35)
C (70,50)
D (90,60)
What is the range of the relation?
[(-4, 3), (-4, 4), (-3, 1), (1, 1)}
{-4, -4,-3, 1}
{-4, -3, 13
{1, 1, 3, 4]
{1,3,4
So the right answer is of option D.
Look at the attached picture..
Additional Information:
The second components of a relation is called range
Hope it will be helpful to you. .
The range of the function is {-4, 4, -3, 1}.
What is the range of the function?The range of a function is a set of all its possible outputs.
The range is the spread of the values of the output of a function. If we are able to calculate the maximum and the minimum values of the function, we can get an idea of the range of the function.
The given relation is;
[(-4, 3), (-4, 4), (-3, 1), (1, 1)}
The range of a function refers to the entire set of all possible output values of the dependent variable.
The range of a function is a set of all its possible outputs.
The range of the function is {-4, 4, -3, 1}.
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What is the center and radius of the following circle (x - 5) ^ 2 + (y + 2) ^ 2 = 16
Answer:
Step-by-step explanation:
if center=(h,k)
radius=r
eq. of circle is (x-h)^2+(y-k)^2=r^2
given eq. is (x-5)^2+(y+2)^2=16=4^2
comparing
center =(5,-2)
radius r=4
The following balls are placed in an urn: 4 red, 2 yellow, 4 blue, and 2 green. One ball is randomly drawn from the urn. What is the probability that the ball
Is either yellow or green?
Answer:
1/3 as;
16.66665/100 + 16.66665/100 = 33.33/100
Convert to 12 = 4+4+2 +2 = 4/12
Step-by-step explanation:
or 1/3