Answer:
x = 1
Step-by-step explanation:
2x + 3y = 20
2x + 3(10-4x) = 20
2x + 30 - 12x = 20
combine like terms
-10x + 30 = 20
-30 -30
-10x = -10
divide both sides by -10
x = 1
Hope this Helps!!!
The solution of the linear equations y = 10 - 4x and 2x + 3y = 20 will be (1, 6).
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equations are given below.
y = 10 - 4x ...1
2x + 3y = 20 ...2
Substitute equation 1 in equation 2, then we have
2x + 3(10 - 4x) = 20
2x + 30 - 12x = 20
10x = 10
x = 1
Then the value of the variable 'y' will be given as,
y = 10 - 4(1)
y = 10 - 4
y = 6
The solution of the linear equations y = 10 - 4x and 2x + 3y = 20 will be (1, 6).
More about the solution of the equation link is given below.
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i really need this answer right away i will give you brainliest what is 1.50j + 30 < 32
Answer:
1.50 is what percent of 32
what percent of 32 is 1.50 ?
Solution: 1.50 is what percent of 32 is equal to (1.50 / 32) x 100 = 4.69%. So if you buy an item at $32 with $1.50 discounts, you will pay $30.5 and get 4.69% discount cashback rewards so 4.69 is your answer
Step-by-step explanation:
Hope this helps
Which statement is not an example of
the commutative property?
A. -6(x + y) = -6(y + x)
B. (-3x-8y) + 0 = (8y x -3x) + 0
C. 7x - (x + y) = (7x - x) + y
D. -2-(x - y) = (x - y) x -2
ason is organizing the silverware drawer. He has 8 spoons.
There are twice as many forks as spoons. There are 3/4 as many knives as forks.
How many knives does Jason have
Answer:
It would be 12.
Step-by-step explanation:
an answer would be nice
Answer:
1) 90
Step-by-step explanation:
157.50 / 7 = 22.50 or 270 / 12 = 22.50
22.50 * 4 = 90
Answer:
90$
Step-by-step explanation:
157.50/7=22.50
22.50*4=90
90$
If this is high school math then I feel smart.....I'm in 5th grade :>
if the mailbox is 4 feet tall and located 54 feet and located 54 feet from the base of the flagpole, find the height of the flagpole
Answer:
120
Step-by-step explanation:
I believe it is, I cant really explain good but trust me :)
Franco buys a house for £146,500
He sells the house for £158,220
Calculate the percentage profit Franco makes.
Answer:
8%
Step-by-step explanation:
158220 - 146500 = 11720
(11720/146500) × 100 = 8
what is the circumference of this circle r=2km
Answer:
12.56...............jm
Answer: 12.56 km
Step-by-step explanation: r= 2 km c= 12.56 so 12.56
What equation represents the line that passes through points (1.-5) and (3 -17)?
ALL LINES CAN BE REPRESENTED IN THE FORM [tex]f(x) = ax+b[/tex].
We know that:
[tex]f(1) = -5 \implies a\cdot(1)+b = -5 \implies a+b = -5[/tex]
and
[tex]f(3) = -17 \implies a\cdot(3) +b = -17 \implies 3a+b = 17[/tex]
Observe that:
[tex]3a+b = 2a+a+b = 2a+(a+b)[/tex]
So:
[tex]2a+(a+b) =-17[/tex]
But we know that [tex]a+b = -5[/tex], so:
[tex]2a+(a+b) =-17[/tex]
[tex]2a+(-5) = -17[/tex]
[tex]2a = -12[/tex]
[tex]a = -6[/tex]
Since:
[tex]a+b = -5[/tex]
[tex](-6)+b = -5[/tex]
[tex]b = 1[/tex]
So the line is:
[tex]f(x) = 1-6x[/tex]
please help!
Describe a sequence of transformations that maps Figure A to Figure B.
A. A 270° rotation about the origin, and then a dilation of 2 with center (0,0)
B. A 270° rotation about the origin, and then an expansion of 2 with center (0,0)
C. A 90° rotation about the origin, and then an expansion of 2 with center (0,0).
D. A 90° rotation about the origin, and then a dilation of 2 with center (0,0)
A sequence of transformations that maps Figure A to Figure B are: A 90° rotation about the origin, and then an expansion of 2 with center (0,0).
The correct answer is an option (C)
What is transformation?"It means changing the size and position of an object from its original position to a new position."
What is rotation?"It is a transformation that turns a figure about a fixed."
For given example,
We need to describe the transformation that maps Figure A to Figure B.
First we rotate figure A by 90° about the origin.
We can observe that the size of the figure B is larger than the figure A.
So, after rotation we expand figure A by 2 units.
Therefore, a sequence of transformations that maps Figure A to Figure B are: A 90° rotation about the origin, and then an expansion of 2 with center (0,0).
The correct answer is an option (C)
Learn more about transformations here:
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A survey of all beings on planet lien found that 85% preferred pisquet if 68 preferred pisquet juice how many were surveyed altogether
The anser is 68.85 your welcome ::)
Which triangle is congruent to KLM?
Answer: I think the first similar to KLM
Step-by-step explanation:
Determine the domain and range of the given function.
The domain is
.
The range is
.
Answer:
the domain or set of departure of a function is the set into which all of the input of the function is constrained to fall.2. The Range is the difference between the lowest and highest values. Example: In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9. So the range is 9 − 3 = 6. It is that simple!
The domain is
✔ all real numbers
The range is
✔ all real numbers greater than or equal to –2
Step-by-step explanation: i put the picture of the graph down below I think that was the one you were talking about just tell me if i got the wrong one
Graph the linear function with a table.
h(x) = -5x
378 is what percent of 450?
Show work!
Answer:
84 %
Step-by-step explanation: I also got this question
Step-by-step explanation:
378/450×100
0.84×100
=84%............
The graph shows how the values of two used cars changed during a 10-year period.
USED CAR VALUES
25+
Car 1
15
Value (thousands of dollars)
Car 2
10
0 1 2 3 4 5 6 7 8 9 10
Time (years)
What was the approximate value of the cars when the two cars were equal in value?
Answer:
$9000
Step-by-step explanation:
Answer:
iTS B which would be 9,000
Step-by-step explanation:
On a map, 1 inch represents 20 miles. The distance between two towns is 6 whole number 1/5 inches. How many miles are actually between the towns?
Answer:
124 miles.
Step-by-step explanation:
From the question given above, the following data were obtained:
1 in = 20 miles
6 1/5 in =?
Next, we shall express 6 1/5 in decimal for easy calculation . This can be obtained as follow:
6 1/5 = 31 / 5
6 1/5 = 6.2 in
Finally, we shall convert 6.2 in to miles. This can be obtained as follow:
1 in = 20 miles
Therefore,
6.2 in = 6.2 in × 20 miles / 1 in
6.2 in = 124 miles
Thus, 6 1/5 in is equivalent to 124 miles.
Therefore, there are 124 miles between the two towns.
1.What are the distances from the point (x,y) to the focus of the parabola and the directrix?
Select two answers.
distance to the focus: √(x−2)2+(y+5)2
distance to the directrix: |y−6|
distance to the focus: √(x+4)2+(y−2)2
distance to the directrix: |x+6|
distance to the directrix: |y+6|
distance to the focus: √(x−2)2+(y+4)2
2. What is the correct standard form of the equation of the parabola?
Answer:
Part A)
5th and 6th Choices
Part B)
[tex]\displaystyle y=\frac{1}{4}x^2-x-4[/tex]
Step-by-step explanation:
We are given a parabola with focus at (2, -4) and the directrix given by y = -6.
Part A)
Since our directrix is an equation of y, the distance from any point (x, y) on the parabola to the directrix will simply be the absolute value of the difference of the y-values. Hence:
[tex]d_1=|y-(-6)|=|y+6|[/tex]
Again, we will use the distance formula. Let the point (x, y) be (x₂, y₂) and our focus (2, -4) be (x₁, y₁). Then by the distance formula:
[tex]d_2=\sqrt{(x-2)^2+(y-(-4))^2}=\sqrt{(x-2)^2+(y+4)^2[/tex]
Hence, our answers are the 5th and 6th choices.
Part B)
By definition, any point (x, y) on the parabola is equidistant to the focus and the directrix. Hence:
[tex]\sqrt{(x-2)^2+(y+4)^2}=|y+6|[/tex]
Square both sides. We may remove the absolute value as anything squared yields a positive. Hence:
[tex](x-2)^2+(y+4)^2=(y+6)^2[/tex]
Square:
[tex](x^2-4x+4)+(y^2+8y+16)=(y^2+12y+36)[/tex]
Rearrange:
[tex](x^2-4x+20)-(36)=(y^2-y^2)+(12y-8y)[/tex]
Combine like terms:
[tex]x^2-4x-16=4y[/tex]
Divide both sides by 4. Hence, our equation is:
[tex]\displaystyle y=\frac{1}{4}x^2-x-4[/tex]
please halp!!!! ILL BRAINLIST AND GIVE 23 POINTS
Answer: D, C = 0.02t + 40
Answer:
D
Step-by-step explanation:
i believe D because he's paying that money so he will have to add it.
also i had this question
A red die is tossed and then a green die is tossed. What is the probability that the red die shows a six or the green shows a six? Hint: The two events are not mutually exclusive. So to the find probability of the union, Use: P(A or B)= P(A) + P(B) - P(A and B)
Answer:
2/12 or 1/6
Step-by-step explanation:
aramirez8989
...........................
Answer:
yay
Step-by-step explanation:
Need done ASAPppppppp
Answer:
a. Yes it's a proportional relationship. It is because Distance is travelled uniformly.
b. Unit is m/min^2.
c. It means he is travelling in meters with minutes counting how far he have travelled.
Hope this helped. Dont forget to give thanks.
CAN SOMEONE PLEASE HELP ME WITH THIS ?
Answer:b
Step-by-step explanation:
What is the ratio from the big to the small rectangle? *
Answer:
1.2
Step-by-step explanation:
Can somebody plz just tell me if I’m doing these ratios right. If I’m not plz put the correct answer thanks!!
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DD
no you are actually doing really good keep it up
Answer:
Its right but you might wanna simplify 12, 15, 16, and 17
Step-by-step explanation:
There's a sale of 25% off of a $45 pair of sunglasses how much is the discount ? What is the sale price ?
Answer: 180
Step-by-step explanation:
help i suck at math lolll
Answer:
It should be b but if not sorry
Answer:
D.
Step-by-step explanation:
If you flip the scalene triangle over 90 degrees, it would look like D. Since 90 degrees is 1/4 of a circle.
A town's population is currently 8,000. If the population doubles every 98 years, what will the population be 294 years from now?
Answer:
the answer is 24,000
Step-by-step explanation:
294*98=3
3*8,000= 24,000
Answer: 24000
Step-by-step explanation: 294 divided by 98 is 3, 8000 x 3 = 24000
Someoneee helppp meee plzzzz
how to multiply a whole number and a fractions
Step-by-step explanation:
I'll just give you 2 examples if you need a better understanding tell me
1) 2 * 2/4
a. First make 2 --> 2/1 so it's a fraction
b. Multiply 2 by 2 giving you 4
c. Multiply 1 by 4 giving you 4
d. You'll get 4/4
e. Simplify to 1 by dividing by the numerator and denominator 4
Answer : 1
2) 3 * 4/6
a. First make 3 --> 3/1 so it's a fraction
b. Multiply 3 by 4 giving you 12
c. Multiple 1 by 6 giving you 6
d. You'll get 12/6
e. Simiply to 2 by dividing the numerator and denominator by 6
Answer : 2
HELP! 10 points! The average of Amy's, Ben's, and Chris's ages is 6. Four years ago, Chris was the same age as Amy is now. In four years, Ben's age will be 3/5 of Amy's age at that time. How many years old is Chris now?
Answer:
I believe the answer is 10