Solve the given system using elimination.
Answer:
s = -1
r = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
2r + 8s = -4
7r = -6s + 8
Step 2: Rewrite Systems
2r + 8s = -4
Factor: 2(r + 4s) = -4Divide 2 on both sides: r + 4s = -2Subtract 4s on both sides: r = -4s - 2Multiply -7 on both sides: -7r = 28s + 14Step 3: Redefine Systems
-7r = 28s + 14
7r = -6s + 8
Step 4: Solve for s
Elimination
Combine equations: 0 = 22s + 22Isolate s term: -22 = 22sIsolate s: -1 = sRewrite: s = -1Step 5: Solve for r
Define equations: 2r + 8s = -4Substitute in s: 2r + 8(-1) = -4Multiply: 2r - 8 = -4Isolate r term: 2r = 4Isolate r: r = 2Answer:
r = 2, s = - 1
Step-by-step explanation:
Given the 2 equations
2r + 8s = - 4 → (1)
7r = - 6s + 8 ( add 6s to both sides )
7r + 6s = 8 → (2)
Multiplying (1) by 7 and (2) by - 2, then adding will eliminate the r- term
14r + 56s = - 28 → (3)
- 14r - 12s = - 16 → (4)
Add (3) and (4) term by term to eliminate r , that is
44s = - 44 ( divide both sides by 44 )
s = - 1
Substitute s = - 1 into either of the 2 equations and solve for r
Substituting into (1)
2r + 8(- 1) = - 4
2r - 8 = - 4 ( add 8 to both sides )
2r = 4 ( divide both sides by 2 )
r = 2
solution is r = 2 , s = - 1
HELP ME THIS IS SO CONFUSING
Answer:
365 degrees :)
Step-by-step explanation:
It's a multiple of 5, but with no zeros, so that means the ones place is 5. The hundreds place is two less than 5, so that's 3. And the tens place is two times the 3, so that gives you 365!
Answer: 365
Step-by-step explanation: hope this helps bud
The next event requires each runner to jump 8 hurdles that are spaced 12.3 meters apart. If there are 15 meters from the starting line to the first hurdle and 10.5 meters from the last hurdle to the finish line, how long is the race? Show your work. (2 points) 15 m 10.5 m Start Finish
Answer: 111.6 meters
Step-by-step explanation:
Since there are 8 hurdles that are spaced 12.3 meters apart, the number of meters here will be:
= 7 × 12.3 meters
= 86.1 meters
We are further told that there are 15 meters from the starting line to the first hurdle and 10.5 meters from the last hurdle to the finish line.
The length of the race will be:
= 86.1 + 15 + 10.5
= 111.6 meters
Answer:
The race is 111.6 m long.
8 hurdles spaced 12.3 m apart means 7 spaces that are 12.3 m in length; 7*12.3 = 86.1
Add to this the distance to the first hurdle and the distance from the last hurdle:
86.1+15+10.5 = 111.6 m
Step-by-step explanation:
Hope this helps
.Write the following number in expanded form using powers of 10: 67.938
Answer:
67.938 =
(6 * 10^1) + (7 * 10^0) + (9 * 10^-1) + (3 * 10^-2) + (8 * 10^-3)
Step-by-step explanation:
Here, we want to write the given number in expanded form
Mathematically that will be ;
60 + 7 + 0.9 + 0.03 + 0.008
Using the power of 10, that will be;
(6 * 10^1) + (7 * 10^0) + (9 * 10^-1) + (3 * 10^-2) + (8 * 10^-3)
Deon had $25. Then he spent $15 on lunch. What percentage of his money did Deon spend on lunch?
Answer:
Deon spent 60% of his money on lunch.
Step-by-step explanation:
Simplify.
6y + 5y
Please help me!!!!!!!
Answer:
11y
Step-by-step explanation:
The answer is 11y because is kinda like adding. You add 6 + 5 which is 11 and then you just convert the y so its 11y
8n - 32 + 5m + 33 - 3
8n - 32 + 5m + 33 - 3
8n-32+5m+30
8n-32+30+5m ( rearranging)
8n-2+5m
answer:
5m+8n-2 or 8n+5m-2
Answer:
[tex]8n+5m-2[/tex]
Step-by-step explanation:
Simplify the expression by combining like terms:
[tex]-32+33-3\\\\1-3\\\\-2[/tex]
Insert:
[tex]8n+5m-2[/tex]
:Done
Which graph shows 3x - y = 1?
Answer:
The graph below shows the graph of 3x - y = 1.
Hope this helps! :)
Expand and simplify
1: (2 ) a) 9( 3 – 10n ) -3 ( 10n + 1 )
Answer:
Hope it can help you .......
Mark me as a brainlist and follow me.....
180 = 16x -5+5х+4+90
Answer:
What is your question?
Step-by-step explanation:
Answer:
x=81.2
Step-by-step explanation:
the table below shoes the rates for two duplicating companies. quick copy copy place initial fee of $5.00 initial fee of $10.00 $0.06 per page $0.04 per page the total cost, c, is dependent on the number of pages, p, that are duplicated. which of these systems of equations represents this situation? p = 5 + 6c p = 10 + 4c ⊝ c = 5 + 6p c = 10 + 4p ⊝ p = 5 + 0.06c p = 10 + 0.04c ⊝ c = 5 + 0.06p c = 10 + 0.04p
Answer:
:
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The system of equations representing the rates for two duplicating companies are -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have the rates for two duplicating companies. There are two different rates as-
[1] > initial fee of $5 and $0.06 per page.
[2] > initial fee of $10.00 and $0.04 per page.
For the [1] company, we can write the equation as -
C[1] = 5 + 0.06x
For the [2] company, we can write the equation as -
C[2] = 10 + 0.04x
So, the system of equations will be -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
Therefore, the system of equations representing the rates for two duplicating companies are -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
To solve more questions on equation modelling, visit the link below-
brainly.com/question/9144182
#SPJ2
Find the perimeter of the figure.
Answer:
17x-3
Step-by-step explanation:
6x+9 + 3x-2 = 9x+7
2(4x-5) = 8x-10
9x+7 + 8x-10 = 17x-3
Answer:
Step-by-step explanation:
Answer:
17x-3
Step-by-step explanation:
6x+9 + 3x-2 = 9x+7
2(4x-5) = 8x-10
9x+7 + 8x-10 = 17x-3
If you know that 84 is 70% of the whole, how can you use proportional reasoning to determine the whole?
A: 70100 shows 70% as a ratio. The ratio 84x compares 84 to the whole, x. Write an equation so that the first ratio is equal to the second ratio. Solve for x : x = 120.
B: 70100 shows 70% as a ratio. The ratio 84x compares 84 to the whole, x. Write an equation so that the first ratio is multiplied by the second ratio. Solve for x : x = 58.8.
C: 70100 shows 70% as a ratio. The ratio x84 compares 84 to the whole, x. Write an equation so that the first ratio is multiplied by the second ratio. Solve for x : x = 120.
D: 70100 shows 70% as a ratio. The ratio x84 compares 84 to the whole, x. Write an equation so that the first ratio is equal to the second ratio. Solve for x : x = 58.8.
Answer:
A. 70/100 shows 70% as a ratio...
Step-by-step explanation?
2.8-4.4n-2n+7
QUICKLY BRAINLY IF CORRECT
Step-by-step explanation:
=9.8-6.4n
just add them together as easy as that
"If three angles and two sides of two triangles are congruent, are the triangles congruent? Why or why not?"
Answer:
yes
Step-by-step explanation:
because the corresponding angles are congruent, the triangles are congruent through CPCTC. If two sides are congruent and an included angle, then the triangles are congruent through the SAS postulate. And if two sides and a non-included angle are congruent then the triangles are congruent through the AAS postulate. Any way of looking at this proves congruency through various postulates, therefore the trianlges are congruent.
Jen and Kamlee are walking to school. After 20 minutes, Jen has walked 45 mile. After 25 minutes, Kamlee has walked 56 mile. Find their speeds in miles per hour. Enter the correct answers in the boxes.
Answer:
Jen's speed = 135 miles per hour (Approx)
Kamlee's speed = 134 miles per hour (Approx)
Step-by-step explanation:
Given:
Jen walk = 45 miles
Jen's time = 20 min = 20/60 = 0.333 hour
Kamlee walk = 56 miles
Kamlee's time = 25 min = 25/60 = 0.416667 hour
Find:
Speed
Computation:
Jen's speed = 45 / 0.333
Jen's speed = 135 miles per hour (Approx)
Kamlee's speed = 56 / 0.416667
Kamlee's speed = 134 miles per hour (Approx)
Bob’s monthly phone bill is made up of a $10 fee plus $0.05 per minute. Bob’s phone bill for July was $22. Write an equation to model the situation using m to represent the number of minutes. Solve the equation to determine the number of phone minutes Bob used in July.
Answer:
equation: 10 + 0.05x=22
Step-by-step explanation:
the next step after writing the equation would be to subtract 10 from both sides to get 0.05x=12. after this you would then have to divide 12 by 0.05 to get 240 minutes. you could check it by putting 240 in for x to get 10+0.05(240)=22. you would then multiply 0.05 by 240 to get 12 and then add 10 onto it to get 22 which was already given.
9514 1404 393
Answer:
equation: 10 +0.05m = 22
solution: Bob used 240 minutes in July
Step-by-step explanation:
Bob's bill is the total of the fixed fee and the charges based on minutes. The latter is 0.05m, where m is the number of minutes. Hence, Bob's July bill is ...
10 + 0.05m = 22 . . . . . total of charges for July is $22
__
The equation is solved by subtracting the constant and dividing by the coefficient of m.
0.05m = 12 . . . . . subtract 10
m = 12/0.05 = 240
Bob used 240 minutes in July.
5th question
answer Plss
Answer:
no
Step-by-step explanation:
57 isnt a prime number
Calculate the number of ways to arrange 9 books of different tittles on a book
rack.
A. 45
B. 81
C. 368280
D. 362880
Answer:
D good luck :) also have a great day
what is an equivalent fraction to 9/28 ?
Answer:
18/56
Step-by-step explanation:
Answer:
18/56
Step-by-step explanation:
9/28= 18/56
for the top 1 I multiplied the numerator and denominator by 2 and then when you simplify it you get 9/28
Solve the system by substitution ( find the intersection)
y=-2x+18
y=8
Answer: x = 5
Step-by-step explanation:
In the supermarket, there were 434 boxes of cereal, 285 gallons of milk, and 176 cans of orange juice. About how many
breakfast items were there? Use rounding to the nearest hundred to estimate the total number of breakfast items.
Answer:
900
Step-by-step explanation:
434+285+176 is 895,895 to the nearest hundred is 900
What is the equation for the line in slope-intercept form? Enter your answer in the box.
Answer: y=-4x+5
Step-by-step explanation:
Answer:
y=-4x+5
Step-by-step explanation:
1. Find the slope by counting downward and over from one point to another point. Let's start from (-2,13) and go down to (0,5)
If you are worried about miscounting, you could also use the slope formula which is y2-y1/x2-x1
5-13/0--2
= -8/2
The slope is -4.
2. FInd where the line crosses the y-axis to get the y-intercept. Here it crosses it at 5.
3. Write the equation on slope-intercept form, which is y=mx+b where mx represents the slope and b represents the y-intercept.
y=-4x+5
Jenny earned 110 of a possible 148 points on a test. She lost 2 points for each incorrect answer. How many incorrect answers did she have?
Answer: She had 19 incorrect answers
Step-by-step explanation:
n = number of incorrect answers at 4 points per answer
110 = 148 - 2n
Solve for n
n = (148 - 110)/2 = 19
A bowling alley charges $2.50 per game plus $4 to rent shoes. A second bowling alley charges $4 per game plus $1 to rent shoes. How many games would a
person have to play for the two bowling alleys to cost the same amount?
Answer:
The person would have to play 2 games for the two bowling alleys to cost the same amount
Step-by-step explanation:
Assume that the number of games that makes the two costs equal is x
∵ A bowling alley charges $2.50 per game plus $4 to rent shoes
∵ The number of games is x
∴ The cost = 2.50x + 4
∵ A second bowling alley charges $4 per game plus $1 to rent shoes
∵ The number of games is x
∴ The cost = 4x + 1
∵ They have the same cost
→ Equate the 2 expressions above
∴ 4x + 1 = 2.50x + 4
→ Subtract 2.50x from both sides
∵ 4x - 2.50x + 1 = 2.50x - 2.50x + 4
∴ 1.50x + 1 = 4
→ Subtract 1 from both sides
∵ 1.50x + 1 - 1 = 4 - 1
∴ 1.50x = 3
→ Divide both sides by 1.50
∴ x = 2
∴ The person would have to play 2 games for the two bowling alleys to
cost the same amount
What is the imagine point of (-1,-5) after a translation left 1 unit and up 4 units?
Answer:
-2, -1
Step-by-step explanation:
So moving left would affect the x-axis.
Left would move it to the negatives so -1 - 1 = -2.
Moving up would affect the y-axis.
Up would move towards the positive so -5 + 4 = -1.
-2, -1
EASY POINTS FOR Y'ALL!!!!!!
Answer:B
Step-by-step explanation:
Answer:
D, is the correct answer!!
Step-by-step explanation:
Q1) 3 cups to milliliters. Round to the nearest hundredth if necessary. Your answer
Answer:
3 cups = 709.77 milliliters
Step-by-step explanation:
Cup : milliliters
1 cup : 236.59 milliliters
3 cups : x milliliters
Equate both ratios
1 / 236.59 = 3 / x
Cross product
1 * x = 236.59 * 3
x = 709.77 milliliters
Therefore,
3 cups = 709.77 milliliters to the nearest hundredth
6. A rectangle has a length of (x + 2) and a width of (3x
an expression in simplest form for the perimeter of the rectangle,
Pleaseee urgent!! Thank youuu
F(-3)=2(-3^2)-8
Answer please
Answer
Solving for F
F=8 2/3, 8.6