x = 3 and y = 7 are the answers to the simultaneous equations 8x + 3y = 45 and 2x + 3y = 27.
What are linear equations?A linear equation is an equation that describes a straight line on a coordinate plane. It is an equation of the form y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept (the point where the line intersects the y-axis).
To solve the simultaneous equations:
8x + 3y = 45 ...(1)
2x + 3y = 27 ...(2)
By adding or removing equations, we can utilise the procedure of elimination to get rid of one of the variables. In this situation, y can be removed by deducting equation (2) from equation (1) as shown below:
(8x + 3y) - (2x + 3y) = 45 - 27
6x = 18
x = 3
In order to obtain the value of y, we can now change the value of x in either equation (1) or (2). Consider using equation (1):
8x + 3y = 45
8(3) + 3y = 45
24 + 3y = 45
3y = 45 - 24
3y = 21
y = 7
Therefore, the solution to the simultaneous equations 8x + 3y = 45 and 2x + 3y = 27 is x = 3 and y = 7.
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The employees van assemble 1,576 cell phones in 8 hours.
If these employees continue to work at the same rate,how many cell phones will they assemble in 53hours?
A - 12,608
B - 10,441
C - 83,528
D - 70,920
Answer:
10,441
Step-by-step explanation:
1576/8=197
197x8=10,441
Help will make branliest
Answer:
I like that you watch wwe for one. but lets get started
the answer itself is m< 4=87
Step-by-step explanation:
Answer:
The answer is 87°
Step-by-step explanation:
A quadrilateral has an interior angle sum of 360°.
Given that three of the four angles in a quadrilateral are 89°, 80°, and 104°, we can create the following equation where x is the missing angle:
89° + 80° + 104° + x° = 360°.
All you have to do is add all the measures up and subtract from 360°.
89° + 80° + 104° + x° = 360° →
273° + x° = 360° →
x° = 87°.
Also, for any polygon, the interior angle sum is (n – 2) × 180°, where n is the number of sides.
A quadrilateral is a polygon with four sides so it's interior angle sum must be
(4 – 2) × 180° = 2 × 180° = 360°.
CAN SOMEONE PLEASE HELP ITS EASY BUT IM D U M B
Answer:
I believe the answer is C. Use Desmos and plug in the equation y=-x-2
Step-by-step explanation:
A ship leaves port at 1 pm traveling north at the speed of 30 miles/hour. At 3 pm, the ship adjusts its course on a bearing of N 20º E. How far is the ship from the port at 4pm?
heyyy wanna help mee
Answer: Only j = 2
============================================
Explanation:
Let's solve for j
[tex]\frac{96}{j} \ge 40\\\\96 \ge 40j\\\\\frac{96}{40} \ge j\\\\2.4 \ge j\\\\j \le 2.4[/tex]
In the second step, I multiplied both sides by j. If j is a positive number, then the inequality sign will not flip. All of the answer choices are positive numbers, so we don't have to worry about the inequality sign flipping.
The last step shows that j = 2.4 or j < 2.4
So j is 2.4 or smaller.
Of the list given to us, only j = 2 fits the description, since something like j = 8 is not 2.4 or smaller.
---------------------------
If j = 2, then,
[tex]\frac{96}{j} \ge 40\\\\\frac{96}{2} \ge 40\\\\48 \ge 40\\\\[/tex]
which is a true statement since 48 is larger than 40. This shows that j = 2 is a solution.
Something like j = 8 does not work because
[tex]\frac{96}{j} \ge 40\\\\\frac{96}{8} \ge 40\\\\12 \ge 40\\\\[/tex]
which is false because 12 is not equal to 40 or larger than 40. This means j = 8 is not a solution. You should find that j = 12 and j = 3 lead to similar false statements.
Of the list given, j = 2 is the only solution.
______________________________
1.) Solve using j = 12:Plug in 12: [tex]\frac{96}{12}[/tex] ≥ [tex]40[/tex]Divide 96 by 12: [tex]=8[/tex] Compare: [tex]8[/tex] ≥ [tex]40[/tex]
So this is False.
2.) Solve using j = 8:Plug in 8: [tex]\frac{96}{8}[/tex] ≥ [tex]40[/tex]Divide 96 by 8: [tex]=12[/tex] Compare: [tex]12[/tex] ≥ [tex]40[/tex]
So this is False.
3.) Solve using j = 2:Plug in 2: [tex]\frac{96}{2}[/tex] ≥ [tex]40[/tex] Divide 96 by 2: [tex]=48[/tex]Compare: [tex]48[/tex] ≥ [tex]40[/tex]So this is True.
4.) Solve using j = 3:Plug in 3: [tex]\frac{96}{3}[/tex] ≥ [tex]40[/tex]Divide 96 by 3: [tex]=32[/tex] Compare: [tex]32[/tex] ≥ [tex]40[/tex]So this is False.
______________________________
Water
SA = 2tr2 + 2nrh
(Use 3.14 for 1.)
Find the surface area
of a water tower that is
40 feet tall and 20 feet
across the base.
square feet
Do NOT round your answer.
Answer:
the surface area is 3140 square feet
Step-by-step explanation:
The computation of the surface area is given below:
Given that
Diameter = 20 feet
radius = 20 ÷ 2 = 10 feet
Surface area = [tex]2\pi r^2 + 2\pi rh[/tex]
= 2 × 3.14 × (10)^2 + 2 × 3.14 × 10 × 40
= 6.28 × 100 + 6.28 × 400
= 628 + 25.12 × 100
= 628+ 2512
= 3140 square feet
hence, the surface area is 3140 square feet
A glass vase factory recently produced 4 vases that were chipped and 16
vases that were not. Considering this data, how many of the next 10 vases
would you expect to be chipped?
Answer:
2
Step-by-step explanation:
4 chipped + 16 not chipped = 20 total
4 / 20 = 1/5 or 20% chance that vase will be chipped
Set up a proportion or find 20% of 10.
[tex]\frac{1}{5} = \frac{x}{10}[/tex] x = 2 (ten is on denominator because it's the total amount of vases)
or 10 * 0.2 = 2
What are the like terms in the following algebraic expression? 5 - 3y + 2x - 5y + x - 2 + 3x^2
Answer:
3y+2x+5y+3x
Step-by-step explanation:
sepreate the varible numbers from the reguler
Emily sold lemonade. Each serving of lemonade was 8 fluid ounces. Which measurement is equivalent to each serving of lemonade Emily sold?
Answer:
Catch Me Knuckles!
Step-by-step explanation:
Is this an example of a function?
Yes or no?
Answer:
Yes.
Step-by-step explanation:
How long will it take to fill the tank with 40 gallons of water?
Answer:
15-25
Step-by-step explanation:
A jacket costing £30 increased in price by 10% and then by a further
15%. How much did it cost after the increases?
40% of the people at Tim's Halloween party dressed up as superheroes. If 14 people dressed as superheroes, how many people were at Tim's Halloween party?
PLEASE HELP WILL GIVE BRAINLIEST!!!! Write an equation in standard form of the line that passes through the given points. (-2,-1),(-4,-6).
Answer:
If its in parobola form here is your answer
Step-by-step explanation:
y=5(x+1/5)^2-26/5
HELP THIS IS DUE FOR TODAY's WORK
In a high school basketball game, Sarah scored 19 points in the first half of the game. In the second half, Sarah scored only 3-point shots. Sarah scored a total of 37 points during the entire game. How many 3-point shots did Sarah make in the second half?
Group of answer choices
18
19
4
6
Answer:
19-37=18
18÷3=6
she scored (6) 3-points
Answer:
4
Step-by-step explanation:
what you would do is 19-3 and get 16 then add 3 until you get 37. you would have to cout how many times you counted up 3, here we go,16,19,21,24,27,30,33,36 we have a remainder but she made 8 shots. so since we are 1 short we have to divide by 2 to get 4.
hope this helped, pls mark brainliest
Is x^4x^5=x^9 power of a power
What is the solution to 3.25k + 1 - 4.25k = -2
Answer: K=3
Step-by-step explanation: Have a nice day!-Lily ^_^
Find the percent error in this situation:
Estimated value: 145
Actual value: 189
Answer:
30.3% im so sorry if this is wrong if it is u can report this :(
Step-by-step explanation:
Answer:
23.3%
Step-by-step explanation:
You have to first take the estimated value - the actual value
= 145-189 = -44
Then you want to take -44 divide the actual value which is 189
= -44 / 189= 0.232804233
Lastly, you want to take 0.232804233 and multiply it by 100
= 0.232804233 x 100= 23.28042328
Round that number to get
=23.3%
Please help me with this! I will give 25 points and Brainliest if it is correct!
Which ratio is equivalent to 4:5?
A. 10/15
B. 4/10
C. 16/20
D. 15/ 8
Answer:16/20
Step-by-step explanation:
if you divide the two numbers by 4 you have:
16/4=4
20/4=5
(if you divide or multiply both of the numbers with the same number, the ratio will remain the same)
So the two numbers are same
graph y= 2/3x-4
How do I graph this?
Answer:
Read below !!
Step-by-step explanation:
Since you are already given the full equation, you would just follow the steps of plotting a line! I start usually by plotting the y-intercept, which is always on the y-axis. In this case, that would be -4 ! You mark -4 on the line, and from there, you would use RISE/RUN to find out the slope of the line. Since it's 2/3, you would rise 2, and go to the right 3, all from the point -4. You should do that about two times in order to get your line !!
I hope this helps !!
Can someone please teach me long division, and please provide examples.
i haven't done long division in so long and i need to sharpen up.
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oh yea 50 points each.
Answer:
Step-by-step explanation:
Divide the tens column dividend by the divisor.
Multiply the divisor by the quotient in the tens place column.
Subtract the product from the divisor.
Bring down the dividend in the ones column and repeat.
okay so look at the image down below
solve the equation 4x^2-27x-5=-10x to the nearest tenth
Answer:10x^2-27x+5. 10x2−27x+5 10 x 2 - 27 x + 5. For a polynomial of the form ax2+bx+c a x 2 + b x + c , rewrite ...
Step-by-step explanation:
The solution of the equation:
x = -0.28 to the nearest tenth.
x = 4.53 to the nearest tenth.
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
Given:
A quadratic equation,
4x²-27x-5 = -10x
Simplifying,
4x²-27x-5 + 10x = 0
4x²-17x-5 = 0
So,
x = {-(-17) ± √(289 + 80)}/8
x = (17 ± √369) / 8
When we take - sign,
x = - 0.276
x = -0.28 to the nearest tenth.
When we take + sign,
x = 4.526
x = 4.53 to the nearest tenth.
Therefore, the values are x = -0.28 and x = 4.53.
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this square-based oblique pyramid has a volume of 125 what is the height of the pyramid?
state if polygons are similar
10 pts+ brainliest if correct
Answer:
C.
Step-by-step explanation:
Answer:
c.
Step-by-step explanation:
how many months give you 27 years
Answer:
324 Months
Step-by-step explanation:
Answer:
324 months according to goggle.
Find the Y intercept of the line y-3=2(x + 1)
Answer:
y=2x+1
Step-by-step explanation:
3x+2y=400
2x+3y=425
What is the value of x and y
Step by Step explanation:If 2x+3y=425 and 3x+2y=350 find x and y. 1 ... If the sides of a right triangle are 3^2 ,4^2 and Y what are both possible values of y^2? I figured ...
1 answer
Missing: 400 | Must include
Please help me. You will be marked brainliest.
Answer:
What do you need help with?
Step-by-step explanation:
I need help!!! I’ll mark you brainliest
This is timed!!
Answer:
c = 28
Step-by-step explanation:
2 * 6 -5 = 7
4 * 7 =28
hope it help
plz fo"ow me
