Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(6,-2)
Equation Form:
x=6,y=-2
Step-by-step explanation:
The value of x is 6 and y is -2.
What is Substitution Method?The algebraic approach to solving simultaneous linear equations is known as substitution method. The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies.
When a variable (or set of letters) in an algebraic statement is substituted, its numerical value is used instead.
Given:
y=x-8..................(1)
y=2x-14.................(2)
Substitute the value of y from equation (1) to equation (2), we get
x-8 = 2x- 14
2x - x = -8 + 14
x = 6
and, y= x-8
y= 6-8
y= -2.
Hence, the value of x is 6 and y is -2.
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What are the solutions of the inequality?
-4(-2x+3) > 8x – 14
can someone explain why it’s infinitely many solutions?
Answer:
( − ∞ , ∞ )
Step-by-step explanation:
Simplify:
3x (x^2 + 5x – 4)
The answer is 3x^3+15x^2-12x.
Solve the proportion: 4/x = 2/7
Answer:b
Step-by-step explanation:
Answer:
x = 14
Step-by-step explanation:
Cross multiply.
7 x 4 = 28.
X x 2 = 2x
2x = 28
x = 14
If a right hexagonal prism became an oblique hexagonal prism, would that have any effect on the volume and height of the
solid? Explain your answer.
Answer:
Even if a right solid became oblique, the volume would not change, because the cross sectional area and height would remain the same. Therefore, by Cavalieri's principle, the volume is the same as the original solid.
Step-by-step explanation:
sample answer
Rearranging formula
18
4 friends weigh themselves. Bert is 20kg heavier then Arlo. Cassie is 5 kg lighter then Bert and Donnie is half of Berts weight. If their average weight is 57kg how much does Arlo weigh?
Answer:
Arlo's weight = 52.3 kg
Explanation:
Let Arlo be "x"
Then,
Arlo = x
Bert = x+20 (Because Bert is 20 heavier than Arlo)
Cassie = x+20-5 (Because Cassie is 5 lighter than Bert)
Donnie = [tex]\frac{x+20}{2}[/tex] (Because Donnie is half of Bert's weight)
Average = 57
Step by step Calculations:
57 = [tex]\frac{(x) + (x+20) + (x+20-5) + (\frac{x+20}{2} )}{4}[/tex] (The whole divided by 4 because the total people is 4)
57*4 = x + x + 20 + x + 20 - 5 + [tex]\frac{x+20}{2}[/tex]
228 = 3x + 35 + [tex]\frac{x+20}{2}[/tex]
228 - 3x - 35 = [tex]\frac{x+20}{2}[/tex]
193 -3x = [tex]\frac{x+20}{2}[/tex]
2(193 - 3x) = x + 20
386 - 6x = x + 20
386 - 20 = x + 6x
366 = 7x
x = [tex]\frac{366}{7}[/tex]
x = 52.3 kg (corrected to 3 significant figures)
Therefore Arlo's weight is 52.3 kg
Find the distance between (3,4) and (3,9) 
Answer:
5
Step-by-step explanation:
x values are equal, so 9-4 = 5
In a recent survey, 55% of cellphone owners said they text message, what fraction of cellphone owners is this?
Answer:
11/20
Step-by-step explanation:
[tex]55\% = \frac{55}{100} = \frac{11}{20} [/tex]
need help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
I just need some points
What is the value of b if (3 + i) and (3 - i) are complex roots of 2x² + bx + 20 = 0?
A. -12
B. -6
C. 6
D. 10
In the figure, m<2 = 83, and m<21 = 68. Find the measure of each angle
Answer:
m<1 = 97
m<2 = 83
m<3 = 112
m<4 = 68
m<5 = 112
m<6 = 68
m<7 = 97
m<8 = 83
m<9 = 97
m<10 = 83
m<11 = 112
m<12 = 68
m<13 = 112
m<14 = 68
m<15 = 97
m<16 = 83
Step-by-step explanation:
Find mZ1 and mZ2 .
I cant figure it out
Answer:
∠ 1 = 110°, ∠ 2 = 70°
Step-by-step explanation:
∠ 1 and 110° are vertical angles and are congruent, thus
∠ 1 = 110°
∠ 1 and ∠ 2 are same- side interior angles and supplementary, sum to 180°
∠ 1 + ∠ 2 = 180°
110° + ∠ 2 = 180° ( subtract 110° from both sides )
∠ 2 = 70°
-10 is the difference between 7 and
another number. Find the two possible
numbers.
Answer:
-3 and 17
Step-by-step explanation:
Let the number be = x
x - 7 = -10
x = -10 + 7
x = -3
OR
7 - x = -10
- x = -10 - 7
- x = -17
x = -17/-1
x = 17
The two possible numbers are -3 and 17
Simplify the expression:
5.2a -(4.5a +4.8a)
Answer:
-4.1a
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/Coefficients/DegreesStep-by-step explanation:
Step 1: Define
5.2a - (4.5a + 4.8a)
Step 2: Simplify
Combine like terms: 5.2a - (9.3a)Combine like terms: -4.1aPlease I need help!!
Jason has 4 gallons of hand sanitizer that contains 25% alcohol. He wants to make a hand sanitizer that contains 50% alcohol. How many gallons of pure alcohol should he add?
Answer:
2 gallons
Step-by-step explanation:
25% of 4 gallons is 1 gallons, which means that 75% of the hand sanitizer is not alcohol, and is 3 gallons. since that is the amount of not alcohol, and we want it to be 50% solution, it has to be 3 gallons of alcohol in total, and 3-1=2.
Two gallons of pure alcohol should he add to make hand sanitizer that contains 50% alcohol.
Percentage:Given that, 4 gallons of hand sanitizer that contains 25% alcohol.
25% of 4 gallons is 1 gallons. It means that out of 4 gallons, 1 gallon are pure alcohol and 3 gallons are non- alcohol.
We have to make a hand sanitizer that contains 50% alcohol.So that, when we add 2 gallons of alcohol in the 4 gallons of hand sanitizer.Then, that hand sanitizer that contains 50% alcohol.
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A Boat is tied to the dock with a 25-foot rope. When the rope is pulled tight, the boat is 18 feet away from the base of the dock. The rope connects to the boat at the level of the water. What is the measure, to the nearest tenth of a degree, of x, the angle formed by the rope and the surface of the water?
Answer:
43.9°
Step-by-step explanation:
We solve the above question using the Trigonometric function of Cosine
cos x = Adjacent/Hypotenuse
From the question
Adjacent = Distance of the boat from the dock = 18 feet
Hypotenuse = Length of the rope = 25 feet
The angle formed by the rope and the surface of the water = x
Hence:
cos x = 18/25
x = arc cos (18/25)
x = 43.945519562°
Approximately θ = 43.9°
The angle formed by the rope and the surface of the water is given as 43.9°
2. Name two lines in the diagram.
1)JK, LB
2)MA,JD
3)KC, DA
4)MI,EF
Answer:
answer is third option KC,DA
what is 2 2/5 divided by 2 1/5
Answer: 1.09090909091
Step-by-step explanation: I hope it helps
what is the answer to 5.6 times 10/11
Answer:
5.09
There will be a dash over .09
Step-by-step explanation:
please help, I’ll give brainliest
A number, rounded to 1 significant figure, is equal to 300.
Write down the lower and upper bounds of the number.
Answer:
lower bound is 299.5, upper bound is 300.5
Step-by-step explanation:
PLEASE HELP I NEED HELP!!!
Answer:
$2=1
Step-by-step explanation:
6 =$3
PLSSSSSSSS HELP MEEEEE ITS DUE SOON
Answer: A = w/p
Step-by-step explanation:
A = w/p
This recipe makes 12 flapjacks.
How much of each ingredient is needed to make 42 flapjacks by following this recipe?
Recipe: Makes 12 flapjacks
140 g margarine
120 g sugar
100 ml syrup
240 g oats
50 g raisins
PLEASE HELPPP
Answer:
Step-by-step explanation:
just times everything 3.5 as 42/12=3.5
490g margarine
420g sugar
350ml syrup
840g oats
175g raisins
Mary buys 8 cupcakes for $6 and Pete buys 12 cupcakes for $9. Who got the better deal PER cupcake or did they spend the same amount per cupcake?
Answer:
Step-by-step explanation:
Mary spends 8*6=48 dollars
Pete spends 9*12=108
Mary got a better deal per cupcake
Answer:
They spent the same amount per cupcake ($1.33)
Step-by-step explanation:
To solve this, we need to find the unit rate of cost per cupcake. To do that, we divide 8 by 6 and divide 12 by 9. When we do that, we get 1.33 for both. That means they spent the same amount per cupcake ($1.33).
Find the value of x.
x-2
12
36
18
24
27
36
11
9
10
12
Please help!
What is the value of x?
Answer:
12
Step-by-step explanation:
Answer: 10
Step-by-step explanation: Each side if the smaller shape is multiplied by 1.5 to get the dimensions of the larger shape. To find the value of x, you divide 12 by 1.5. Then you add 2 to that answer to get the value of x. [tex]12/1.5 = 8 + 2 = 10[/tex]
8.20 divided by 5 equals what
Answer:
1.64
Step-by-step explanation:
8.20 / 5 = 1.64
9p - p + 8q - 40 + 12q
Answer: 8p+20q-40
Step-by-step explanation:
Answer:
8p+20q-40Step-by-step explanation:
[tex]9p - p + 8q - 40 + 12q[/tex]
Collect like terms and simplify
[tex]9p - p + 8q + 12q - 40 \\ 8p + 20q - 40[/tex]
Simplify 6° = 63
O A. 126
O B. 66
O C. 6-6
O D. 63
Answer:
i think its c 6-6 so good luck
Find the lcm of 5m^7+ 35m^6+50m^5 And -20m^5-80m^4+100^3
Answer:
LCM of both polynomials=[tex]\mathbf{5m^3}[/tex]
Step-by-step explanation:
Least Common Multiple
We are given the polynomials
[tex]5m^7+ 35m^6+50m^5[/tex]
[tex]-20m^5-80m^4+100m^3[/tex]
Find the common factors of each polynomial, first the coefficients:
5 = 5
35 = 5*7
50 = 5*5*2
The common factor with the least exponent; 5
Now for the variables:
[tex]m^7, m^6, m^5[/tex]
The common factor with the least exponent; m^5
LCM of [tex]5m^7+ 35m^6+50m^5: 5m^5[/tex]
Similarly:
20 = 2*2*5
80=2*2*2*2*5
100 = 2*2*5*5
Common factor of the coefficients: 2*2*5=20
Common factor of variables: [tex]m^3[/tex]
LCM of [tex]-20m^5-80m^4+100m^3 = 20m^3[/tex]
LCM of both polynomials=[tex]\mathbf{5m^3}[/tex]
The difference of n and 2 is 10
Answer:
n-2=10
n=10+2
n=12
please thnx my answer
Answer:
12
Step-by-step explanation:
n - 2 = 10
(add 2 to the other side (Addition property of equality))
10 = n