5x + 2y = 8
-4x + 10y = 40
Answer:
(0, 4 )
Step-by-step explanation:
5x + 2y = 8 → (1)
- 4x + 10y = 40 → (2)
multiplying (1) by - 5 and adding to (2) will eliminate y
- 25x - 10y = - 40 → (3)
add (2) and (3) term by term to eliminate y
- 29x = 0 , then
x = 0
substitute x = 0 into (1) and solve for y
5(0) + 2y = 8
0 + 2y = 8
2y = 8 ( divide both sides by 2 )
y = 4
solution is (0, 4 )
The volume of a cylinder is 66 cubic meters and the radius is 2 meters. Find the height of the cylinder. Round to the nearest tenth.
Help me please-math-
Answer:
Its C
Step-by-step explanation:
if 1 killogram = 1,000 grams then all you will have to do is divide 8,885 by 1,000
which is 8.885
Answer: the correct answerr is choice c .
Step-by-step explanation
8.885. HOPEITHELPSYOU.
Plis help me with this one!!!!!!!
Answer: (0, 9) or x = 0, y = 9
Step-by-step explanation:
The solution is the point of intersection.
Here, the lines intersect at the point (0, 9) in the format of (x, y) so we can pull out the answers x = 0 and y = 9.
Answer:
(0, 9)
Step-by-step explanation:
First we need to find the equations of each line!What I'd do is use the equation:gradient (m) = change in y ÷ change in xStarting with the left line, let's pick two coordinates that are on the lineI've picked: (-2, 5), (-3, 3)gradient (m) = (3 - 5) ÷ (-3 - -2) = -2 ÷ -1 = 2We can then use the equation y = mx + c (m is gradient)y = 2x + cWe know we have the point (-3, 3) on this line(-3, 3) = (x, y) so x = -3 and y = 3y = 2x + c3 = 2 × -3 + c3 = -6 + cc = 9Finally, we can say y = 2x + 9Doing the exact same steps for the other line...
y = -3x + 9Since we now have two y = ... equationsWe can say y = yWhich is the same as2x + 9 = -3x + 9We rearrange to find x...5x = 0x = 0That gives us the x-coordinate of where the lines meet (the solution of the system of equations)We can then pick either equation to find the y-coordinate:y = -3x + 9y = -3 × 0 + 9 = 9So the solution we have is at the point (0, 9)!PLEASE HELP 88 POINTS Alejandro volunteers on the weekend at the Central Library. As a school project, he decides to record how many people visit the library, and where they go. On Saturday, 463 people went to The Youth Wing, 474 people went to Social Issues, and 335 went to Fiction and Literature. On Sunday, the library had 1100 total visitors. Based on what Alejandro had recorded on Saturday, about how many people should be expected to go to The Youth Wing? Round your answer to the nearest whole number.
Answer:
401 people
Step-by-step explanation:
First, find the percentage of students that went to the Youth Wing on Saturday, this is 463/463+474+335
464/1272
=36.4779874%
Multiply it now by the Sunday visitors, 0.364779874 x 1100
= 401.2578616
=401 people
Answer: 400
Step-by-step explanation:
Answer answer answer answer
Answer:
the answer is option C
Step-by-step explanation:
45/4 = 45 divided by 4 = 11.25
-8 times 11.25 gives you -90
Answer: the answer is choice c . 45 divided by 4 = 11.25 .
negative 8 times 11.25 gives you negative 90 .
Step-by-step explanation: HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .
Find the equation of the line that goes through the point (1, -1) and has a slope of 5.
y = 5x - 6
y = 5x + 1
y = 5x - 1
y = x + 5
The equation of the line that goes through the point (1, -1) and has a slope of 5 is y = 5x - 6
How to find linear equation of a line?The linear equation of a line is represented as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, the line passes through (1, -1) and has a slope of 5.
Using the model y = mx + b,
y = 5x + b
let's find b using (1, -1)
- 1 = 5(1) + b
-1 - 5 = b
b = -6
Therefore, the equation of the line that goes through the point (1, -1) and has a slope of 5 is y = 5x - 6
learn more on equation of a line here: https://brainly.com/question/11897796
Answer:
y=5x-1
Step-by-step explanation:
Slope is represented as m. y-intercept is represented as b. And ordered pairs are written in the form x,y. So you ignore the first 1 in your ordered pairs and just look at the second one because the second one represents the y-intercept.
I hope this helps!!!
Solve for s.
0.58 +1 = 7 + 4.53
Answer: s=9.95
Step-by-step explanation:
1 + 0.58 = 1.58
7 + 4.53= 11.53
11.53 - 1.58 = 9.95
So, s is 9.95
Hurry need help!!!!!!1
Answer:
it would be 3
Step-by-step explanation:
you have to add both fracitons and you would add 3/4+1/4 and you would get 4/4 and that becomes a whole number thin you would add 2 and 1 and you would git 3 thats how i got the answer hope this helps if not please let me know
Answer:
I think the other person is correct and her answer is good
Step-by-step explanation:
Please help me with this one!
It would be C because no other would have worked.
Need the Answer quickly
I need help with my homework it’s a math question
3 divided by 1/8
The $23 rd term in a certain geometric sequence is 16 and the $28th term in the sequence is 24. What is the $43 rd term?
Answer:
81
Step-by-step explanation:
Geometric sequence formula: [tex]a_n=ar^{n-1}[/tex]
Given:
[tex]a_{23}=ar^{22}=16[/tex][tex]a_{28}=ar^{27}=24[/tex]Find common ratio (r):
[tex]\begin{aligned}\implies \dfrac{a_{28}}{a_{23}} =\dfrac{ar^{27}}{ar^{22}} & =\dfrac{24}{16}\\ \implies r^5 & =\dfrac32\\ \implies r & = \sqrt[5]{\frac32} \end{aligned}[/tex]
Find initial term (a):
[tex]\implies ar^{22}=16[/tex]
[tex]\implies a(\sqrt[5]{\frac32} )^{22}=16[/tex]
[tex]\implies a(\frac32} )^{\frac{22}{5}}=16[/tex]
[tex]\implies a=\dfrac{16}{(\frac32)^{\frac{22}{5}}}[/tex]
Find the 43rd term:
[tex]\implies a_{43}=ar^{42}[/tex]
[tex]\implies a_{43}= \left(\dfrac{16}{(\frac32)^{\frac{22}{5}}}\right)(\sqrt[5]{\frac32} )^{42}[/tex]
[tex]\implies a_{43}=16 \cdot (\frac32)^{-\frac{22}{5}} \cdot (\frac32)^{\frac{42}{5}}[/tex]
[tex]\implies a_{43}=16 \cdot (\frac32)^4[/tex]
[tex]\implies a_{43}=16 \cdot \left(\dfrac{3^4}{2^4}\right)[/tex]
[tex]\implies a_{43}=16 \cdot \left(\dfrac{81}{16}\right)[/tex]
[tex]\implies a_{43}=81[/tex]
You drop a ball off a 50ft roof to see how long it will bounce. Each bounce loses 10% of the height of its previous height
round 56709 to the nearest thousands
Answer:
57000
Step-by-step explanation:
56709 = 50000 + 6000 + 700 + 9
6709 is closer to 7000 that 6000
The answer is 57000
Hope this helps :)
Have a nice day!
5x+1/3 = 7 help me, thanks!
Answer:
5x+1/3=7
5x+1=7×3
5x+1=21
5x=21-1
5x=20
x=20/5
x=4
HURRYYY
The diagram shows a cone of the height of 5 cm and a base radius of 12 cm
What is the total surface area of the side and base?
Use 3.14 as an approximation for IT
Answer:
radius r = 12 m
height h = 5 m
slant height s = 13 m
volume V = 753.982237 m ³
lateral surface area L = 490.088454 m²
base surface area B = 452.389342 m²
total surface area A = 942.477796 m²
The total surface area of cone is 942 cm².
What is Total surface area of Cone?Total surface area is the sum of the area of the circular base and the area of the curved part of the cone.
The total surface area of a cone is the sum of the area of the base and the lateral area:
SA = πr² + πrl
where, r is radius
l is slant height
Now, for finding the slant height of the given cone is
l² = r² + h²
l² = 12² + 5²
l² = 144 + 25
l² = 169
l = 13 cm
Now, SA = π X 12² + π X 12 X 13
= 144π + 156π
= 300π
= 300 X 3.14
= 942 cm²
Thus, the total surface area of cone is 942 cm².
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A theater group made appearances in two cities. The hotel charge before tax in the second city was $1000 lower than in the first. The tax in the first city was 3. 5% and the tax in the second city was 7%. The total hotel tax paid for the two cities was $455. How much was the hotel charger in each city before tax?
By solving a system of equations we will see that the charge on the first city was $5,000, and on the second city, $4,000.
How much was the hotel charge in each city?
Let's define the variables:
C₁ = charge in the first city.C₂ = charge on the second city.We know that:
C₂ = C₁ - $1000
And we also know that the total tax is $455, then we can write:
0.035*C₁ + 0.07*C₂ = $455
(this says that the total tax is $455)
So we have a system of equations:
C₂ = C₁ - $1000
0.035*C₁ + 0.07*C₂ = $455
We can replace the first one into the second to get:
0.035*C₁ + 0.07*(C₁ - $1000) = $455
0.105*C₁ - $70 = $455
C₁ = ($455 + $70)/0.105 = $5,000
And:
C₂ = C₁ - $1000 = $5,000 - $1,000 = $4,000
The charge in the first city is $5,000 and in the second city was $4,000.
If you want to learn more about systems of equations, you can read:
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can you solve it I need this respond pless
The probability that Aiko can drive to work without having to stop at a red light is 0.125. The odds against Aiko driving to work without seeing a red light are _[blank]_. What odds best complete the sentence?
The probability that Aiko drives without seeing a red light is the likelihood of not seeing the red light
The odds against Aiko driving to work without seeing a red light is 7 : 1
How to determine the odd against Aiko?The probability of not having to stop at a red light is given as:
P(Not Stop) = 0.125
The probability that he would stop at a traffic light is calculated using:
P(Stop) = 1 - 0.125
Evaluate
P(Stop) = 0.875
The odds against Aiko driving to work without seeing a red light is calculated using:
Odd = P(Stop) : P(Not stop)
So, we have:
Odd = 0.875 : 0.125
Simplify
Odd = 7 : 1
Hence, the odds against Aiko driving to work without seeing a red light is 7 : 1
Read more about probability at:
https://brainly.com/question/25870256
⚠️‼️ HELP PLEASE WILL GIVE POINTS
Answer:
48°
Step-by-step explanation:
Angles on a straight line sum to 180°Therefore [tex](7x-92)+(6x+12)=180[/tex]Combine like terms[tex]13x-80=180[/tex]Add 80 to both sides[tex]13x=260[/tex]Divide both sides by 13[tex]x=20[/tex]Insert this into 7x - 927 * 20 - 92 = 140 - 92 = 48Look at the table below showing an example of a checkbook ledger. a 6-column table has 5 rows. the first column is labeled check number with entries blank, blank, 156, blank, blank. the second column is labeled date with entries 9/15, 9/16, 9/18, 9/18, 9/18. the third column is labeled description with entries pharmacy, paycheck, rent, dinner, movie tickets. the fourth column is labeled amount debited with entries (in dollars) 15.20, blank, 425, 22.30, 26.75. the fifth column is labeled amount credited with entries blank, 1,015.50 dollars, blank, blank, blank. the sixth column is labeled balance with entries 219.80 dollars, blank, blank, blank, blank. according to the table, what is omar’s bank balance? $761.25 $810.30 $814.75 $1,186.25
The total remaining bank balance in the account of Omar after reducing all the debit and adding the paycheck is $761.25.
What do you mean by debit and credit amount?The money which is paid from an account is called the debit amount and the money which is paid into an account is called the credit amount.
To know the remaining balance of the account, all the debit amount is subtracted from it and all the credit amount is added to it.
The data given in the table is,
Pharmacy - $15.20-Debited
Rent - $425.00-Debited
Dinner - $22.30-Debited
Movie Ticket - $26.70-Debited
Pay Check - $1015.50-Credited
Initial Balance- $219.80
The initial balance is $219.80, and a paycheck of $1015.50 is credited to his account. Thus, the total balance in his account without any debit is,
[tex]\rm A_i=1015.50+219.80\\\\A_i=1253.30[/tex]
The total amount debited from their account of Omar is,
[tex]\rm A_d=15.20+425+22.30+26.70\\\\A_d=474.05[/tex]
Thus, the total remaining amount in his account is,
[tex]\rm A= 1253.3-474.05\\\\A=761.25[/tex]
Hence, the total remaining bank balance in the account of Omar after reducing all the debit and adding the paycheck is $761.25.
Learn more about the debit and credit amounts here;
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Answer:
According to the table, what is Omar’s bank balance?
$761.25
Which expression has the same value as -8+(-7)? F-8-(-7) G -8+7 H -7-(-8) J -7-8
Answer:
Choice J
[tex]-8 + (-7) = -7-8[/tex]
Answer:
The answer is Option J
Step-by-step explanation:
(-8) + (-7) = (-8) – 7 = (-15)
(F) (-8) – (-7) = (-8) + 7 = (-1)
(G) (-8) + 7 = (-1)
(H) (-7) – (-8) = (-7) + 8 = 1
(J) (-7) – 8 = (-15)
Thus, Option (J) has the same value as (-8) + (-7).
find the solution to the system of equations by using either graphing and substitution y = 6 - x and y = x - 2
pls explain ur answer.
Answer:
x = 4, y = 2
Step-by-step explanation:
y = 6 - x
y = x - 2
Substitute the value for y in the first equation into the second.
So we get:
6 - x = x - 2
-x - x = -2 -6
-2x = -8
x = 4
Plug this into second equation:
y = 4 - 2 = 2.
Check these results in equation 1:
y = 6 - x
2 = 6 - 4 = 2
- so correct.
The volume of a right cone is 3675π units^3 3 . If its radius measures 15 units, find its height.
The height of the right cone given its volume and its radius is 49 units.
What is the height of the right cone?Volume of a cone = 1/3(πr²h)
Where:
π = 22/7r = radius h = heightHeight = volume / 1/3(πr²)
3675π / (1/3 x π x 15²) = 49 units
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(20 points and Brainliest)
Given the following graph, what is the x-coordinate of the vertex?
A)0
B)-1
C)8
D)7.5
Answer:
Since the vertex is the tallest or shortest point on the graph, the vertex would be 8 since 8 is the tallest point. So it would be B. 8
Step-by-step explanation:
what is the answer to 28r+24
Answer:
[tex]\boxed{\sf{4(7r+6)}}[/tex]Step-by-step explanation:
In order to solve this problem, you must find the factor to use the distributive property.
Distributive property:
→ A(B+C)=AB+AC
28r+24
4*7=28
4*6=24
Rewrite the problem down.
4*7r+4*6
Solve.
4*7r=28r
4*6=24
28r+24
Therefore, the final answer is 4(7r+6).I hope this helps! Let me know if you have any questions!
A college baseball team ordered 5,400 hats to sell at games. Each box holds 60 hats. How many boxes will the team get?
boxes
Answer:
90 boxes
Step-by-step explanation:
you will have to divide the total amount you have by the groups they will go into. in this case it is 5400/60 = 90
Jonah has a recipe that uses 1 ½ cups of brown sugar and 2 ⅓ cups of flour to make 24 muffins. He has a total of 7 cups of flour. Jonah wants to use all of his flour to make as many muffins as possible using the recipes. Part A: Exactly how many cups of brown sugar will Jonah use, if he uses all 7 cups of flour? Part B: Exactly how many muffins will Jonah make if he uses all 7 cups of flour?
Answer:
Part A: 4.5 cups
Part B: 3
Step-by-step explanation:
Part A:
We will have to find how many muffins he will make first if he uses all 7 cups.
# of muffins = 7/(2 + 1/3) = 3
Cups of sugar = 3 * (1 +1/2) = 4.5 cups
Part B:
We solved this in Part A
The number of muffins is 3
A cylindrical piece of iron pipe is shown below. The wall of the pipe is 0.75 inch thick, and the pipe is open at both ends: The figure shows a cylinder of height 16 inches and diameter 6 inches. What is the approximate inside volume of the pipe? 113 cubic inches 452 cubic inches 410 cubic inches 254 cubic inches
Answer:
so add them all up and divide by 2
Step-by-step explanation:
so the anser is 11.24
Answer:
D. 254 cubic inches
Step-by-step explanation: