Answer:
(4,-5)
Step-by-step explanation:
Hi there!
The problem asks us to solve by elimination, where we will add the two equations together to clear one variable, solve for the other variable, and then substitute the value of the other variable to find the value of the first variable
here's the system:
4x-9y=61
10x+3y=25
we'll clear y to start
multiply the second equation by 3
3(10x+3y)=3(25)
30x+9y=75
4x-9y=61
now add the equations together (the 9y's clear because one is positive and another is negative)
34x=136
divide by 34
x=4
the value of x is 4
now to find y:
substitute the value of x into either one of the equations to solve for y
if we were to do the first equation for example:
substitute x as 4 into the equation
4(4)-9y=61
multiply
16-9y=61
subtract
-9y=45
divide
y=-5
so the answer is x=4, y=-5. If you need it as a point, it's (4,-5)
Hope this helps! :D
Is x + 15 = 7 true when x = 12?
_________________________
Answer:
no not even if its supposed to be a negative
Step-by-step explanation:
Jasmine, multiply your age by 3 and add 6. Then multiply this sum by 2. James, multiply your age by 2 and add 4. Then multiply this sum by 3. I predict you will both get the same number!
A class of 22 students split equally a 10 pound bag of candy.
How much did each student get?
(Simplify the answer.)
Each student reserved 2.2 pounds each
Step-by-step explanation:
I divided 22 by 10 and got 2.2 as for each student I am not sure if your teacher wants it simplified to the nearest whole number but if that's the case each student got 2 pounds of candy
Which statements about the system are true?
Select TWO options.
y = 1/3x - 4
Зу - х = -7
A. The system has one solution.
B. The system consists of parallel lines.
C. Both lines have the same slope.
D. Both lines have the same y-intercept.
E. The equations represent the same line.
2 Answers:
B) The lines are parallelC) The lines have the same slope.Parallel lines always have equal slope, but different y intercepts.
==========================================================
Explanation:
Let's solve the second equation for y
3y - x = -7
3y = -7+x
3y = x-7
y = (x-7)/3
y = x/3 - 7/3
y = (1/3)x - 7/3
The equation is in y = mx+b form with m = 1/3 as the slope and b = -7/3 as the y intercept. We see that the first equation, where y was already isolated, also has a slope of m = 1/3. The two equations of this system have the same slope. Choice C is one of the answers.
However, they don't have the same y intercept. The first equation has y intercept b = -4, while the second has b = -7/3. This means that they do not represent the same line. They need to have identical slopes, and identical y intercepts (though the slope can be different from the y intercept of course) in order to have identical lines. So we can rule out choice D and E because of this.
Because the two equations have the same slope, but different y intercepts, this means the lines are parallel. Choice B is the other answer.
Parallel lines never touch or intersect, which in turn means there is no solution point. A solution point is where the lines cross. We can rule out choice A.
I recommend using your graphing calculator, Desmos, GeoGebra, or any graphing tool (on your computer or online) to graph each equation given. You should see two parallel lines forming. I used GeoGebra to make the graph shown below.
Find volume PLS HELP
Answer:
88.3
I just think so
I dont have a 20 letter explantion
danayia has some candy ms.miller gaver her 5 pieces of candy in addition to what she already had. ms.naltner doubled the amount of candy she had. danayia then had 20 pieces of candy.how much candy did danayia start with?
A survey was done to determine the amount of electricity used by residents in a local community. The survey data was compiled into the histogram below. Identify the approximate number of participants in the survey.
a) 150
b) 200
c) 350
d) 450
Given:
The histogram of a survey that represents the amount of electricity used by residents in a local community.
To find:
The approximate number of participants in the survey.
Solution:
Using the given histogram, we get the frequency table:
Electricity usage Frequency
50 23
150 34
250 25
350 26
450 42
Sum of frequencies is:
[tex]23+34+25+26+42=150[/tex]
It means the total number of participants in the survey is 150.
Therefore, the correct option is (a).
What is the surface area of the cylinder with height 2 yd and radius 3 yd? Round your answer to the nearest thousandth.
[tex] \boxed{ \mathrm{Surface \: Area = 2\pi r(h +r )}}[/tex]
[tex]2 \times 3.14 \times 3 \times (3 + 2)[/tex][tex]18.84 \times 5[/tex][tex] \boxed{\mathrm{94.2 \: yd {}^{2} }}[/tex]_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
The amount of gallons of water remaining in a swimming pool after x hours is given by the equation,
y = -4,000x + 20,000
How long before the pool is completely drained?
O 1 hour
5 hours
3 hours
6 hours
Answer:
5 hours
Step-by-step explanation:
The pool will be completely drained when y = 0
0 = -4,000x + 20,000
subtract 20,000 from both sides
-20,000 = -4,000x
divide both sides by -4,000
x = 5
Have a good day!
Answer:
5 hours.
Step-by-step explanation:
When it is drained y will be = to zero, so
-4000x + 20000 = 0
-4000x = -20000
x = -20000/ -4000
= 5.
please help i need it real quick and i don't understand it
Answer:
3m × 4m:
Yellow flower: 12
Bush: 6
Total: 18
3m × 5m:
Yellow flower: 15
Bush: 8
Total: 23
Step-by-step explanation:
Whenever w is an integer greater than 1, logw w^2/w^6=?
-4
-3
-1/3
1/3
3
Answer:
Option (1)
Step-by-step explanation:
Given expression is,
[tex]\text{log_w(\frac{w^2}{w^6})}[/tex][tex]\text{log}_w(\frac{w^2}{w^6} )[/tex]
Let the given expression is equal to y.
[tex]\text{log}_w(\frac{w^2}{w^6} )=y[/tex]
By applying logarithmic rule,
[tex](\frac{w^2}{w^6} )=w^y[/tex]
[tex]w^2\times w^{-6}=w^y[/tex]
[tex]w^{2-6}=w^y[/tex]
[tex]w^{-4}=w^y[/tex]
[tex]y=-4[/tex]
Therefore, value of the given expression [tex]\text{log}_w(\frac{w^2}{w^6} )=-4[/tex].
Option (1) will be the correct option.
Joshua has a rectangular work table. The sides of the table are 40 inches by 25 inches. What is the length of the diagonal of the table.
Given:
Dimensions of the rectangular table are 40 inches by 25 inches.
To find:
The length of the diagonal of the table.
Solution:
Diagonal of a rectangle is:
[tex]d=\sqrt{l^2+w^2}[/tex]
Where, l is the length and w is the width of the rectangle.
Putting [tex]l=40,w=25[/tex] in the above formula, we get
[tex]d=\sqrt{(40)^2+(25)^2}[/tex]
[tex]d=\sqrt{1600+625}[/tex]
[tex]d=\sqrt{2225}[/tex]
[tex]d\approx 47.17[/tex]
Therefore, the length of the diagonal is about 47.17 inches.
0.2x + 0.3 = 0.1x + 0.5
Answer:
x = 2
Step-by-step explanation:
0.2x + 0.3 = 0.1x + 0.5 ( subtract 0.1x from both sides )
0.1x + 0.3 = 0.5 ( subtract 0.3 from both sides )
0.1x = 0.2 ( divide both sides by 0.1 )
x = 2
hii i’ll give brainliest please help thanks :)
Answer:
3,6,9
Step-by-step explanation:
123 456 789
Answer:
85
Step-by-step explanation:
hi plz mark brainlist
i hope u can help meeeee!!!
Answer:
1)4,5,8
2)3,6,7
3)1 and2,5 and 6,3 and 4,7 and 8,1 and6,3and 8,2 and5,4 and 7
Please help me solve this 5/3x²-x-2 +5/3x²-x-1 =7/3x²-x-3
Answer:
can you take a photo of the equation? and do you just want to evaluate?
Help me with this question, please!
Answer:
3,432 m²
Step-by-step explanation:
The amount of aluminum in square meters needed to make the mailboxes = 1863(surface area of each mailbox)
Surface area of each mail box = ½(surface area of cylinder) + (Surface area of rectangular prism/box - area of the surface of the box that joins the half-cylinder)
✔️Surface area of ½-cylinder = ½[2πr(h + r)]
r = ½(0.4) = 0.2 m
h = 0.6 m
π = 3.14
Surface area of ½-cylinder = ½[2*3.14*0.2(0.6 + 0.2]
= 0.628(0.8)
Surface area of ½-cylinder = 0.5024 m²
✔️Surface area of the rectangular box/prism = 2(LW + LH + WH)
L = 0.6 m
W = 0.4 m
H = 0.55 m
Surface area = 2(0.6*0.4 + 0.6*0.55 + 0.4*0.55)
Surface area of rectangular box = 1.58 m²
✔️Area of the surface joining the half cylinder and the box = L*W = 0.6*0.4 = 0.24 m²
✅Surface area of 1 mailbox = (0.5024) + (1.58 - 0.24)
= 0.5024 + 1.34
= 1.8424
Amount of aluminum needed to make 1863 mailboxes = 1863 × 1.8424 = 3,432.3912
= 3,432 m²
(-2-√3) (-2+√3) when simplified is
Answer:
=1
Step-by-step explanation:
(-2-√3)(-2+√3)
=-2(-2+√3)-√3(-2+√3)
=4-2√3+2√3-√9
=4-3
=1
Which decimal is equivalent to 8 3/5 ?
Andrew recorded the number of points his football team scored in each of the ten games of the season. The points are listed below. Which box plot correctly represents this data?
Answer:
the second one
Step-by-step explanation:
hai-
10. Tamara wants to find the height of a tree outside her home. Using her clinometer, she measures the slope angle from 8 feet away from the base of the tree and gets an angle of 40o . If Tamara's eye level is 5 feet above the ground, how tall is the tree (rounded to the nearest tenth of a foot)? Show your work.
Answer:
11.7 ft
Step-by-step explanation:
Remember the notation SOHCAHTOA
We would be using tan because we have been given the adjacent and we are to determine the opposite value
tan 40 = opposite / adjacent
0.8391 = opposite / 8
opposite = 0.8391 x 8
6.7
Tamera is 5 ft above ground = 6.7 + 5 = 11.7 foot
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
Please find attached a diagram explaining this question
r/3 - 9 ≥ - 2
pls show steps and answer
i’ll mark brainlyest
Answer:
r ≥ 20
Step-by-step explanation:
r/3 - 9 ≥ - 2
r/3 ≥ 7
Multiply both sides by 3
r ≥ 21
Answer: Good deal
Step-by-step explanation:
r/3-9≥2
r ≥ 20
r/3 - 9 ≥ - 2
r/3 ≥ 7
3 r ≥ 20
resuelve la siguiente ecuación trigonométrica 2Sena-√3=0
PLZZZZZZZZZZZZ PLZZZZZZZZZZZZ PLZZZZZZZZZZZZ PLZZZZZZZZZZZZ help
Answer:
a. option is the correct answer
Would any three squares
form the sides of a right
triangle? Explain.
Three squares of sides 15 units, 9 units, and 12 units can form a
right-angled triangle.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
Given, We have to form a right-angled triangle that has side lengths of
3 different squares.
Let, The first square has a side length of 9 units, and let this be the height of the right-angled triangle.
Another square has a side length of 15 units and this is the hypotenuse.
Therefore, the base of the triangle must be 15² - 9² = 225 - 81 = 144 = 12 units.
So, The third square must have a side length of 12 units.
learn more about triangles here :
https://brainly.com/question/29083884
#SPJ2
in which quadrant will the point lie if ordinate is 3 and abscissa is -7
send a image of solution
Answer:
2nd Quadrant
Step-by-step explanation:
ordinate = y cordinate
abcissa = x cordiante
(-7,3)
( -,+) lies in second quadrant)
Hope u understand
Please mark as brainliest
Thank You
If 1=3
2=3
3=5
4=4
5=4
Then, 6=?
Answer:
3
Step-by-step explanation:
one = 3 letters (hence 1 = 3)
two = 3 letters (hence 2 = 3)
four = 4 letters (hence 4 = 4)
five= 4 letters (hence 5 =4)
six= 3 letters- hence 6 = 3
Please help, sorry the image is blurry I retook it multiple times.
Answer:
i dont really know for sure, but try P (-8, 6) Q (-5, 2) and R (2, 1) sorry if its wrong
Step-by-step explanation:
marissa says that the figure below is a rectangle. (the figure is a square). Is Marissa corrects?
Answer:
yes
Step-by-step explanation:
a square is a rectangle but a rectangle is not a square
meaing that a square is a rectangle but not all rectangles are squares
If you flip a coin 30 times, what is the best prediction possible for the number of times it will land on tails?
Answer:
15 times i think
Step-by-step explanation: