Answer:
x=-2, y=-9
Step-by-step explanation:
Given that:
[tex]\begin{bmatrix}3x+y=-15\\ 2x-3y=23\end{bmatrix}[/tex]
Solution:
[tex]\mathrm{Isolate\;x\;for\;3x+y=-15:x=\frac{-15-y}{3}}[/tex]
[tex]\mathrm{Substitute\:}x=\frac{-15-y}{3}[/tex]
[tex]\begin{bmatrix}2\cdot \frac{-15-y}{3}-3y=23\end{bmatrix}[/tex]
Simplify to:
[tex]\begin{bmatrix}\frac{-30-11y}{3}=23\end{bmatrix}[/tex]
[tex]\mathrm{Isolate\;y\;for\;\frac{-30-11y}{3}=23:y=-9}[/tex]
[tex]\mathrm{For\:}x=\frac{-15-y}{3}[/tex]
[tex]\mathrm{Substitute\:}y=-9[/tex]
[tex]x=\frac{-15-\left(-9\right)}{3}[/tex]
Solve:
[tex]x=-2[/tex]
Hence the answer is:
[tex]x=-2,\:y=-9[/tex]
~lenvy~
Answer number 8 please. Thank you.
Answer:
The answer is C. A triangle is made up of a total angle of 180°, therefore C. is more than 180°
A semicircle with diameter 8 inches is connected to a triangle with a base length of 8 inches. the height of the triangle is 3 inches. what is the area of the composite figure? (8π 6) in.2 (8π 12) in.2 (8π 18) in.2 (8π 24) in.2
Answer:
37.12
Step-by-step explanation:
Area of a Semi-circle = 3.14 x r to the 2nd power / 2
Area of a Triangle = b x h /2
3.14 times 4 to the 2nd power divided by 2 is 25.12. 8 times 3 is 24, divided by 2 is 12. Add 25.12 and 12 together and get 37.12.
Answer:
(8π + 12) in.2 or B
Step-by-step explanation:
E2020
Helppp.
First, complete the sentence to show how the figure can be decomposed into triangles and rectangles with the fewest number of pieces.
Then find the area of the divisions.
The figure can be divided into a triangle and a rectangle.
The area of a triangle is 10 sq inches.
The area of a rectangle is 80 sq inches.
The total area of the figure is 90 sq inches.
What are the area and perimeter of a rectangle?The area of a rectangle is the product of its length and width.
The perimeter of a rectangle is the sum of the lengths of all the sides.
The figure can be divided into a triangle and a rectangle.
The height of the triangle is 2 inches and the base is 10 inches.
We know the area of a triangle is (1/2)×base×heiht.
∴ Area = (1/2)×10×2 sq inches.
Area = 10 sq inches.
We know the area of a rectangle is length×width.
∴ Area = (10×8) sq inches.
Area = 80 sq inches.
The total area of the figure is (10 + 80) sq inches = 90 sq inches.
learn more about rectangles here :
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Graph the equation y=-X – 2 using the intercepts.
Answer:
y intercept = (0,-2)
x intercept = (-2,0)
Step-by-step explanation:
For y intercept, plug 0 for x
y = (0) - 2
y = -2
y intercept = -2
For x intercept, plug 0 for y
(0) = -x - 2
Move -2 to other side
-x = 2
Since x is negitave, make 2 negitave
x = -2
x intercept = -2
Consider the enlargement of the pentagon. A small pentagon has a bottom side length of x centimeters and left side length of 7 centimeters. A larger pentagon has a bottom side length of 7 centimeters and left side length of 15 centimeters. Not drawn to scale What is the value of x, rounded to the nearest tenth? 2. 1 centimeters 3. 3 centimeters 7. 0 centimeters 15. 0 centimeters.
When the pentagon is drawn to scale then its value of x will be x=3.3 cm
What is the pentagon?The pentagon is defined as the shape having five sides connected together.
Now it is given in the question that
For small pentagone
Bottom =x
left =7 cm
For larger pentagone
Bottom=7cm
left=15cm
Now since the pentagon is actually dilated from its size to the new bigger size. It means that the equivalent ratio of both the pentagons will be equal.
For smaller pentagon
[tex]\rm Equivalent \ Ratio = \dfrac{Bottom}{Left} =\dfrac{x}{7}[/tex]
For bigger pentagon
[tex]\rm Equivalent \ Ratio = \dfrac{Bottom}{Left} =\dfrac{7}{15}[/tex]
Since both, the ratio is the same
[tex]\dfrac{x}{7} =\dfrac{7}{15}[/tex]
[tex]x=\dfrac{49}{15} =3.3\ cm[/tex]
Thus the pentagon is drawn to scale than its value of x will be x=3.3 cm
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Write two different expressions that
represent the quantity x decreased
by 30%.
Answer:
Step-by-step explanation:
x - 30 = 14 - 3x
4x = 44
x = 11
Let's call the unknown number x
Now let's decrease it by 30, that is x-30
Now let's write out "14 decreased by three times the number", that is 14 - 3x
The problem says these are the same, that is x - 30 = 14 - 3x
We now want to isolate, or solve for, x
Move the x to one side of the equation by adding 3x to both sides
3x + x -30 = 14 - 3x + 3x
4x -30 = 14
Now move the 30 to the right hand side by adding 30 to both sides
4x - 30 + 30 = 14 + 30
4x = 44
Now all we have to do to get x is divide both sides by 4
4x/4 = 44/4
x = 11
find perimeter of a semicircle that has radius of 6cm (give answer in 2 d.p)
Answer:
30.84 cm
Step-by-step explanation:
Formula for perimeter of semi-circle = πr + 2r
Radius (r) = 6 cm
π = 3.14
Perimeter
= πr + 2r
= 3.14(6) + 2(6)
= 3.14(6) + 12
= 18.84 + 12
= 30.84 cm
_________
Hope it helps ⚜
Answer:
30.85 cm to 2 d.p.
Step-by-step explanation:
The perimeter is made up of the diameter ( = 2*radius) and half a full circle
= 6*2 + 1/2 * π* 6
= 12 + 3π
= 30.849
Part A
What are the possible outcomes of rolling a six-sided dle?
Answer:
1, 2, 3, 4, 5, 6
Step-by-step explanation:
6 sided dice, and each side has a number on it. 6 numbers from 1-6. This also means it has 6 possible outcomes if thrown once, so the Probability of each number is [tex]\frac{1}{6}[/tex] because there are 6 sides. It also helps if you visualise a dice, or know how one looks like.
Hope this helps! Let me know if you have any further questions.
- profparis :)
if I helped you, I would appreciate a brainliest :D
Answer:
⅙ or 1 out of 6
Step-by-step explanation:
This is because a die has 6 sides which when rolled will give you one side of its six sides which is ⅙
which inequality does the graph represent?
Answer: x ≥ -1
Step-by-step explanation:
First, we see the filled in dot, so we know x can be equal to -1. Since this is a ray, all valid values of x must be greater or equal to -1. Therefore, our answer is x ≥ -1
Complete two expressions that have the same product as 3 x 5. 12
__________ x
1
12AND __________ x
3
12
The two expressions that would have the same product as 3.5 x 5.12 are:
184.32 x 1/12
76.8 x 3/12
What is the product of the a number?
The product of a number is the value that is derived when two or more numbers are multiplied by each other.
Product of 3 and 5.12 is 15.36.
In order to determine what number should be multipled by 1/12 to yield 15.36, multiply 15.36 by 12: 15.36 x 12 = 184.32
In order to determine what number should be multipled by 3/12 to yield 15.36, multiply 15.36 by 4: 15.36 x 4 = 76.8
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What is the midpoint of this interval? 50 < x ≤ 60
Add the two ends together and divide by 2:
50 + 60 = 110
110/2 = 55
The midpoint is 55
Answer:
55
Step-by-step explanation:
To find the midpoint, add the two endpoints and divide by 2
(50+60)/2
110/2
55
The midpoint is 55
who ever can help ill give brainlist
Answer:
?=2
Step-by-step explanation:
1. Solve
?/10+8/100=28/100
?/10+8/100-8/100=28/100-8/100
?/10=20/100
2. Simplify
20/100=2/10
so, ?/10=2/10
3. Check
2/10+8/100=28/100
20/100+8/100=28/100
28/100=28/100
Correct !
4. Answer
Helpppppp!!!
(Show work)
Answer:
Step-by-step explanation:
Find the measure of angle M in the paralellogram. ANSWER QUICK PLS, LOTS OF POINTS, WILL GIVE BRAINLIEST WILL REPORT!!
Opposite angles are equal in parallelogram
7x-4=5x+127x-5x=12+42x=16x=8<M:-
7(8)-456-452°x=8. The steps are in the attachment.
A rectangle is 2/5 (fraction) inches long and 1/3 inches wide.
What is the area of the rectangle?
Enter your answer as a fraction in simplest form by filling in the boxes
in2
__/__ in2
Answer:
A = 2/15 in^2
Step-by-step explanation:
To find the area of a rectangle, we multiply length times width
A = l*w
A = 2/5 * 1/3
A = 2/15 in^2
Answer:
[tex]\sf area=\dfrac{2}{15} \ in^2[/tex]
Step-by-step explanation:
Area of a rectangle = width x length
Given:
[tex]\sf length=\dfrac25[/tex][tex]\sf width=\dfrac13[/tex]Substitute these values into the equation are solve:
[tex]\sf \implies area=\dfrac13 \times \dfrac25[/tex]
[tex]\sf \implies area=\dfrac{1 \times 2}{3 \times 5}[/tex]
[tex]\sf \implies area=\dfrac{2}{15} \ in^2[/tex]
0.17 + (0.68—0.17)* （20- -14.4)/-21.3- -14.4)
Answer:
See the steps below
Step-by-step explanation:
[tex]0.17 + \cfrac{(0.68-0.17)(20- (-14.4))}{-21.3- (-14.4)} =[/tex]
[tex]0.17 + \cfrac{0.51(20+14.4)}{-21.3+14.4} =[/tex]
[tex]0.17 + \cfrac{0.51*34.4}{-6.9} =[/tex]
[tex]0.17 - \cfrac{17.544}{6.9} =[/tex]
[tex]\cfrac{17}{100} - \cfrac{17544}{6900} =[/tex]
[tex]\cfrac{17*69-17544}{6900} =\\[/tex]
[tex]-\cfrac{16371}{6900} =[/tex]
[tex]-\cfrac{5457}{2300} =[/tex]
[tex]-2\cfrac{857}{2300}[/tex]
Name the image of C(6, –4) under a rotation 90 counter-clockwise about the origin.
a. C(–4, –6)
b. C(6, 4)
c. C(–6, –4)
d. C(4, 6)
Answer:
d.) (4,6)
Step-by-step explanation:
(-y,x) is the formula for a 90 counter-clockwise rotation.
So, it's (4,6)
Angle α is drawn on the unit circle in standard position. The terminal side of angle α intersects the unit circle at point (-0.292, 0.956). What is the approximate decimal value of tan(α)?
Answer: -3.274
Step-by-step explanation:
Since this is on the unit circle, the cosine is equal to the x coordinate and the sine is equal to the y coordinate.
Since tan = sin/cos, its approximate value is 0.956/-0.292, which is about -3.274.
Solve and Answer correctly the question
Time:-
Distance/Speed250/2125s2min 5sTime started=6AM
time to reach:-
6+0:02:056:02:05 AMThe numbers of hours mary works over a period of 8 days are 8, 7, 8, 8, 8, 7, 6, and 8. find the mean, median, mode, and range of the data set.
Answer:
Mode=8
This is because it occurs the most
Median
=8+8/2
=16/2
=8
Therefore, the median is 8
Mean= £x/n
=6+7+7+8+8+8+8+8/8
=60/8
=15/2
=7.5
Step-by-step explanation:
Please mark me brainliest if correct
The mean, median, mode, and range of the data set will be 7.5, 8, 8, and 2, respectively.
What are statistics?Statistics is the study of collection, analysis, interpretation, and presentation of data or discipline to collect and summarise the data.
The quantities of hours mary works over a time of 8 days are 8, 7, 8, 8, 8, 7, 6, and 8.
Arrange the data in increasing order, then we have
6, 7, 7, 8, 8, 8, 8, 8
The mean of the data is given as,
Mean = (6 + 7 + 7 + 8 + 8 + 8 + 8 + 8) / 8
Mean = 60 / 8
Mean = 7.5
The median of the data is given as,
Median = {[8 / 2 + (8 + 2)/ 2] / 2}
Median = (4th + 5th) / 2
Median = (8 + 8) / 2
Median = 16 / 2
Median = 8
The mode of the data is given as,
Mode = Frequency of the number
Mode = 8
The range of the data set is given as,
Range = 8 - 6
Range = 2
The mean, median, mode, and range of the data set will be 7.5, 8, 8, and 2, respectively.
More about the statistics link is given below.
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I need help with number 13 please hurry
Answer:
a+b
-------
4
Step-by-step explanation:
What is the image of (-1, -2) after a reflection over the y-axis?
Answer:
(1, -2)
Step-by-step explanation:
Since (-1, -2) is in quadrant 3 and reflected to quadrant 4, the values become (+, -)
Hope this helps :)
If 6 books costs $48, then the cost of 8 books will be
Change 7 kilometres to metres ?
A bag of marbles includes only green and red marbles. The results of an experiment are shown in the table below. What is the experimental probability of selecting red, or green?
Answer:
100%
Step-by-step explanation:
There is no table, but if there is only a green or red in the bag, then the probability of selecting a green or a red is 100%.
1 of 39 men is chosen at random. 27 men passed the test. 12 men failed. What is the probability that the man failed his test
Answer:
30.7%, 0.3, or 4/13
Step-by-step explanation:
The correct procedure for this problem is:
The number of men that passed the test and the number of men should be located as the numerator and denominator of the fractional number.12/39 is our fraction, which we can reduce to 4/13We can change it to a percent and a decimal, which would be 30.7% and 0.3.Julian has a points card for a movie theater. He receives 85 rewards points just for signing up. He earns 3.5 points for each visit to the movie theater. He needs 120 points for a free movie ticket. Which equation or tape diagram could be used to represent the context if xx represents the number of visits Julian must make to earn a free movie ticket?
Answer:
an equation that can be used to represent the number of visits needed to earn a free movie ticket is
3.5x+85=120
Step-by-step explanation:
you would multiply 3.5 by the number of visits (x) to determine how many points Julian would have earned in total. you would add 85 to the product of 3.5(x) because he had started with 85 points.
if you want to find how many times Julian would need to visit the movie theater to get a free movie ticket you can subtract 85 from 120, to find out how many visits are necessary before adding the extra 85 points. subtracting that leaves you with 35, and if you divide that by 3.5, the number of points per visit, you are left with 10. Julian would need to visit the theater 10 times before earning a free movie ticket.
if you want to check to see if that's right, you can just do the equation in reverse. rather than 85-120=35/3.5=10, you can do 10*3.5=35+85=120
hope this helps
Help me with this pls and thank you ?????
Answer:
y=3/4x-14
Step-by-step explanation:
Remember that slope-intercept form is y=mx+b
We can see that our givens is that the slope is 3/4 and our point is (8,-8)
Let's plug this in and solve for b (b is the y-intercept)
-8=3/4*8+b
-8=24/4+b
-8=6+b
-14=b
Now we write out the equation which is y=3/4x-14
Which set of ordered pairs does not represent a function?
O {(8,-4), (-5,6), (-5,7), (-3,-5)}
O{(-1,0), (1,0), (3,-2), (2, -9)}
O {(3,-7), (-2, -9), (9,3), (7, - 7)}
O {(8, –9), (-3,9), (-9,2), (-2,0)}
keeping in mind that a function does not have any X-Repeats, that is, the 1st coordinate in every pair never repeats, Check the picture below.
Please help i am confused
Answer:
18 +2
Step-by-step explanation:
it's like 3x you just add each side 3 then you will get the answer. and the (+2) stays the same.