HELPPPPP PLEASE
(04.02 MC)
What is the solution to the following system of equations?
4x + 2y = 6
x - y = 3
(2, 1)
(-2, -1)
(2, 4)
(2, -1)
Answers
======================================================
Explanation:
Double everything in the second equation to go from x-y = 3 to 2x-2y = 6.
So we have this equivalent system of equations
[tex]\begin{cases}4x+2y = 6\\2x-2y=6\end{cases}[/tex]
We can then add straight down. The x terms add to 6x. The y terms go away because they add to 0. The stuff on the right hand sides add to 12.
After those three sets of addition operations, we have the new equation 6x = 12 which solves to x = 2 after dividing both sides by 6.
Now use x = 2 with any of the equations mentioned that have x,y involved so we can solve for y.
4x+2y = 6
4(2)+2y = 6
8+2y = 6
2y = 6-8
2y = -2
y = -2/2
y = -1
or we could say
x-y = 3
2-y = 3
-y = 3-2
-y = 1
y = -1
Either way, we get the same y value.
Since x = 2 and y = -1 pair up together, we get the ordered pair solution (x,y) = (2, -1). Therefore, the answer is choice D.
If you were to graph the two equations, as shown below, the two lines intersect at (2,-1). This point is on both lines at the same time. This is visual confirmation that the point is a solution to both equations. Though you should still algebraically check each original equation.
Related Questions
From an 18-pound cut of meat, Mr. Rand cuts off steaks weighting 1 pound 15 ounces, 3 1/8 pounds, and 4 1/2 pounds. He divides up the rest into 9-ounces patties and sells them at 3 for $3.12. How much money does he receive for the patties?
Answers
Answer is in the picture
The amount of money received by him will be $15.60.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division
The amount will be calculated as follows:-
The cut off amount = 18 - ( 1(15/16) -3(1/8)-4(1/2) = 8(7/16)
Now 16 ounces make a pound so divide by 16 we get:-
(135/16) ÷ ( 9 / 16 ) = ( 135/16 ) x ( 16 / 9 ) = 15
Dividing 15 by 3 we get 5 packs of 3 patties for $3.12
So amount = 3.12 x 5 = $15.60
Therefore the amount of money received by him will be $15.60.
To know more about Expression follow
https://brainly.com/question/723406
#SPJ2
does this make sence to anyone
Answers
Identify the initial value and rate of change for the graph shown
A coordinate plane graph is shown. A line passes through the y-intercept at 1 and through the point 5 comma 4.
Initial value: 1, rate of change 3 over 5.
Initial value: 3 over 5., rate of change: 0
Initial value: 1, rate of change 5 over 3.
Initial value: 5 over 3., rate of change: 0
Answers
plz help me with the attachment below
Answers
Answer:
57
Step-by-step explanation:
( 27 + 19 + 41 + 51 + 29 + 35 + k ) / 7 = 37
202 + k = 37 x 7
202 + k = 259
k = 259 - 202
k = 57
Answer:
K. = 57
Step-by-step explanation:
Grace adopted a kitten, Fluff, from the animal shelter. Fluff weighed 3.5 lbs. when she was adopted and has gained weight at a rate of 1.5 lbs. per week. Which equation could be used to determine after how many weeks, x, Fluff would weigh 12.5 lbs.?
3.5x+12.5=1.5
3.5x+1=12.5
3.5+1.5x=12.5
3.5−1.5x=12.5
Answers
Answer:
C: 3.5+1.5x=12.5
Step-by-step explanation:
i think this is correct because in the question they use the word Gain which means you would add. But also this answer is correct because the kitten had gain 1.5 pounds PER WEEK which make 1.5x
so your answer is 3.5+1.5x=12.5
Hope this helps have a good day
and if correct pls mark me brainliest
thank you bye
Answer:
3.5 +1.5x = 12.5 (third option top- down)
Step-by-step explanation:
given : weighted 3.5 lbs. then gained 1.5 lbs. per week ended up 12.5 lbs.
translate: 3.5 + 1.5 * x = 12.5
Is the triangle obtuse, acute, equilateral or right?
Answers
9514 1404 393
Answer:
obtuse
Step-by-step explanation:
The law of cosines tells you ...
b² = a² +c² -2ac·cos(B)
Substituting for a²+c² using the given equation, we have ...
b² = b²·cos(B)² -2ac·cos(B)
We can subtract b² to get a quadratic in standard form for cos(B).
b²·cos(B)² -2ac·cos(B) -b² = 0
Solving this using the quadratic formula gives ...
[tex]\cos(B)=\dfrac{-(-2ac)\pm\sqrt{(-2ac)^2-4(b^2)(-b^2)}}{2b^2}\\\\\cos(B)=\dfrac{ac}{b^2}\pm\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}[/tex]
The fraction ac/b² is always positive, so the term on the right (the square root) is always greater than 1. The value of cos(B) cannot be greater than 1, so the only viable value for cos(B) is ...
[tex]\cos(B)=\dfrac{ac}{b^2}-\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}[/tex]
The value of the radical is necessarily greater than ac/b², so cos(B) is necessarily negative. When cos(B) < 0, B > 90°. The triangle is obtuse.
Help me please! It’s due in like 10 minutes and I’m barely on the 8th question !!!
Answers
Answer:A
Step-by-step explanation:campbella helped
Answer:
A
Step-by-step explanation:
6(5-3x) -5(3x+2)
multiply each expression by the number outside the bracket
6×5=30,6×-3x=-18x -5×3x=-15x,-5×+2=-10
30-18x-15x-10
group the like terms
30-10-18x-15x
20-33x
Pls help
Spam answers will be reported
Give a good explanation
Answers
Answer:
X = 20
The picture explains my answer
Answer:
The answer is X = 20
Please help! I’m confused.
Answers
Step-by-step explanation:
We need to use the formula :-
2 (l + b) × h ---> For Lateral surface area
2(30+30) h = 7200
2×60×h = 7200
120 × h = 7200
h = 7200/120
h = 60 cm
Now, volume = l×b×h
= 30×30×60
= 54000 cm³ is the required answer.
Hope it helps! :D
Answer:
54000cm³
Step-by-step explanation:
7200=4*30x，so x=60
In other words, the length of the vertical side is equal to 60cm
The volume inside the kite=60*30*30=54000cm³
y varies inversely as the square of x
y=1.5 when x=8
Find y when x=5
Answers
Answer:
3.84
Step-by-step explanation:
Given that , y varies inversely as the square of x . Mathematically we can write this statement as ,
[tex]\implies\rm y \propto \dfrac{1}{x^2}[/tex]
Let k be the constant . Therefore ,
[tex]\implies\rm y = k \dfrac{1}{x^2}[/tex]
When y = 1.5 and x = 8 :-
Plug in the respective values ,[tex]\implies\rm y = k \dfrac{1}{x^2} \\\\\implies\rm 1.5 = k \times \dfrac{1}{8^2} \\\\\implies\rm k = 1.5 \times 64 \\\\\implies\rm k = 96[/tex]
When x = 5 :-
[tex]\implies\rm y = k \dfrac{1}{x^2} \\\\\implies\rm y = 96 \times \dfrac{1}{5^2}=\dfrac{ 96}{25} \\\\\implies\rm\boxed{ y = 3.84 }[/tex]
Answer: 3.84
hope it helped!
HELP PLEASE!!! i will give brainly! +10 points
Suppose each cube in this right rectangular prism is a -inch unit cube.
What are the dimensions of the prism?
What is the volume of the prism?
Answers
Answer:
1 number 1
Step-by-step explanation:
1 because of 1 of 1
Answer:
1000 hope its right
Step-by-step explanation:
8 · Find the volume of the rectangular prism with the dimensions 11 by 9 by 3. 23 in 297 in 318in 159in I think the answer is c 318 in. geometry A rectangular prism has a length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm.
simplify
(x^a)^b-c×(x^b)^c-a×(x^c)^a-b
step by step...
Answers
Answer:
= (xa+b)a-b .(xb+c)b-c. (xc+a)c-a
Or
= x(a+b)(a-b). x(b+c)(b-c) .x(c+a)(c-a)
Answer:
[tex]\left(x^a\right)^b-c\left(x^b\right)^c-a\left(x^c\right)^a-b[/tex]
[tex]=x^{ab}-cx^{bc}-a\left(x^c\right)^a-b[/tex]
[tex]=x^{ab}-cx^{bc}-ax^{ac}-b[/tex]
-------------------------
Hope it helps...
Have a great day!!
Evaluate the expression shown below and write your answer as a fraction in simplest form.
Answers
7/20
Answer:
7/20 if you want you answer in decimal form that would be 0.35
Evaluate the expression shown below and write your answer as a fraction in simplest form.
Answers
Answer:
[tex]43/100[/tex]
Step-by-step explanation:
First, make both of the denominators into 100.
Then, 3/10 would be 30/100.
Finally, you can add them to get 43/100.
Make both denominators into 100 so that means 3/10 would be 30/100 then you add both so 30/100+ 13/100 only adding the numerators so it will equal 43/100
When you add 6 to the product of a number and 10, the result is 36. What is the number?
A) 3
B) 6
C) 2
D) 4
Answers
Answer: the number is 3.
Step-by-step explanation:
(x × 10) + 6 = 36
[(3) × 10] + 6 = 36
Answer:
3
Step-by-step explanation
First let's create an equation
Let x = number
Product is outcome of multiplication
The product of 10 and a number can be written as 10x
Were supposed to add 6 to the product and that should equal 36
So the equation is 10x + 6 = 36
We now solve for x using basic algebra
10x + 6 = 36
Subtract 6 from both sides
10x = 30
Divide both sides by 10
X = 3
Eight hundred tickets are sold for a play. Thirty-five percent of those tickets were sold in advance. Which equation can be used to find the number of tickets sold in advance? StartFraction 800 divided by 8 Over 35 divided by 8 EndFraction = StartFraction 100 Over 4.375 EndFraction StartFraction 100 divided by 8 Over 800 divided by 8 EndFraction = StartFraction 12.5 Over 100 EndFraction StartFraction 35 times 8 Over 800 times 8 EndFraction = StartFraction 280 Over 6400 EndFraction StartFraction 35 times 8 Over 100 times 8 EndFraction = StartFraction 280 Over 800 EndFraction
Answers
Answer:
0.35(800)=x
x=number of tickets sold in advance
Step-by-step explanation:
Answer:
Divide 35÷100 which equals 0.35 then multiply 0.35×800 which equals 280 so the answer is 280 so the equation is 0.35×800=280.
Step-by-step explanation:
How do you call a function that have a power higher than 1?
Answers
simplify
(x^a.x^b)^a-b*(x^b.x^c)^b-c*(x^c.x^a)^c-a
step by step..
Answers
Answer:
= x(a+b)(a-b) . x(b+c)(b-c) .x(c+a)(c-a)
Answer:
x(a+b)(a-b) . x(b+c)(b-c) .x(c+a)(c-a)
Hope it helped!
Rewrite 24.5 as a mixed number in lowest terms.
Rewrite 0.85 as a fraction in lowest terms.
Answers
Answer:
49/2, 17/20
Step-by-step explanation:
24.5=245/10=245÷5/10÷5=49/2
0.85=85/100=85÷5/100÷5=17/20
Answer:
Mixed numbers
a) 24 1/2
b) 85/100 = 17/20
Step-by-step explanation:
a) as they asked mixed number we only have to create a fraction for the decimal 0.5 = 1/2 and rewrite 24 1/2 = 24.5
If the question asked for lowest terms 24/5 then 24.5% = 245/1000 = 49/200
b) rewrite 0.85 as a fraction in lowest terms
0.85 = 85% = 85/100 = 17/20
hElP mEh
What integer does the arrow indicate?
-9
-14
-3
6
Answers
Juan runs in place for 2 5/6 minutes on Monday. He runs in place for 1 1/2 times as long on Tuesday.
Juan draws this model to represent the number of minutes he runs in place on Tuesday.
How many minutes does Juan run in place on Tuesday?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answers
Answer:
12miles
Step-by-step explanation:
wink :)
Lorenzo’s test scores are shown below.
Lorenzo’s Test Scores
A dot plot titled Lorenzo's Test Scores. A number line going from 80 to 90. 0 dots are above 80, 81, and 82, there is 1 dot above 83, 2 above 84, 2 above 85, 2 above 86, 2 above 87, 0 above 88 and 89, and 1 above 90.
Anika’s test scores are shown below.
Anika’s Test Scores
A dot plot titled Anika's Test Scores. A number line going from 80 to 90. There are 0 dots above 80, 81, 82, and 83, 3 dots above 84, 2 above 85, 2 above 86, 3 above 87, and 0 dots above 88, 89, and 90.
Which statement compares the shape of the two dot plots?
There is a gap in both plots.
There is a gap in Anika’s scores, but not in Lorenzo’s scores.
The data is widely spread across both plots.
The data is more widely spread for Lorenzo’s scores than for Anika’s.
Answers
Answer:
The data is more widely spread for Lorenzo’s scores than for Anika’s.
Step-by-step explanation:
Answer:
The data is more widely spread for Lorenzo’s scores than for Anika’s.
Step-by-step explanation:
In other words "D" trust me
(02.02 MC)
Tim mixed 2 parts vinegar and 5 parts water to make a cleaning liquid. How many parts of vinegar did Tim mix with each part of water?
one over ten
one over five
two over seven
two over five
Answers
Answer:
2/5 or two over five
Step-by-step explanation:
2:5
Divide each by 5
2/5 : 1
2/5 * 1
2/5
Answer: 2 over 7
Step-by-step explanation:
2/(2+5) = 2/7
1 2/3 times 2 1/2 plz help
Answers
Answer:
4 1/6
Step-by-step explanation:
One of the faster ways in which we can do this problem is to change the mixed numbers 1 2/3 and 2 1/2 to improper fractions.
Then the product of 1 2/3 and 2 1/2 is 5/3·5/2, which comes out to 25/6.
25/6 in turn comes out as 4 1/6 (answer)
As a mixed number your answer is 1 4/6
Louise owns a hot dog stand. The amount of money she collects from selling hot dogs each day can be found by using the equation y=3.5x What does 3.5 from the equation represent in the situation?
Answers
Answer:
3.5 represents the cost of each hotdog ($3.50).
Step-by-step explanation:
In y = 3.5x, the x represents the number of hotdogs and the y represents the total amount you have to pay for those hotdogs. The 3.5 represents the cost of each hotdog.
please help! :( ive been stuck on this for about 30 minutes
Suppose each cube in this right rectangular prism is a -inch unit cube.
What are the dimensions of the prism?
What is the volume of the prism?
Answers
Answer:
dimensions: 4x5x3
volume: 60 cube inches
Step-by-step explanation:
assuming each cube is a one inch cube:
the dimensions of the prism are length 5 -inches, width 4 -inches and height 3 -inches. So, 4x5x3
the volume of a prism is the length x width x height, so the volume is 4x5x3 = 60 inches cubed.
Answer:
length = 5 inches
width = 4 inches
height = 3 inches
So dimensions are 5 x 4 x 3 inches
Volume = l · w · h
V = 5 · 4 · 3 = 60 square inches.
Correct answers only!
After conducting a survey of all her classmates Midge discovers that the amount of money everyone spends buying books each month has a mean of $30. What does the mean say about the amount of classmates spend on books?
Half of her classmates spent exactly $30 per month buying books.
Half of your classmates spent more than $30 per month buying books.
The majority of her classmates spent $30 per month buying books.
If the amount spent on books per month by all her the classmates is leveled, the amount will be $30.
Answers
Answer:
C: The majority of her classmates spent $30 per month buying books.
Step-by-step explanation:
The mean is the average of the numbers -> its C
Answer:
C
Step-by-step explanation:
Triangle ABC is transformed to obtain triangle A′B′C′:
Which statement is correct for Triangle ABC. and Triangle A prime B prime C prime.?
A. Triangle ABC is similar to triangle A prime B prime C prime. because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 3. and then rotating it about the origin by 180 degrees
B. Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 4. and then rotating it about the origin by 90 degrees
C.Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 4. and then rotating it about the origin by 180 degrees
D. Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 6. and then rotating it about the origin by 90 degrees
Answers
Triangle ABC is transformed to obtain triangle A′B′C′:
A coordinate grid is labeled from negative 12 to 0 to 12 on both x and y axes at increments of 1. Triangle ABC has A at ordered pair negative 12, 12, B at negative 9, 6, C at negative 3, 12. Triangle A prime B prime C prime has A prime at ordered pair 4, negative 4, B prime at 3, negative 2, C prime at 1, negative 4.
Which statement is correct for Triangle ABC. and Triangle A prime B prime C prime.? (5 points)
Triangle ABC is similar to triangle A prime B prime C prime. because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 3. and then rotating it about the origin by 180 degrees
Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 4. and then rotating it about the origin by 90 degrees
Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 4. and then rotating it about the origin by 180 degrees
Triangle ABC is similar to triangle A prime B prime C prime. because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 6. and then rotating it about the origin by 90 degrees
Answers
Answer:
Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 4. and then rotating it about the origin by 180 degrees
Step-by-step explanation:
Option 1 is correct
Give correct answer and I will give you branlist
Answers
Hello!
Space = 5 cm + 10cm + 10cm + 20cm + 22cm + 30cm => space = 15cm + 10cm + 20cm + 22cm + 30cm => space = 25cm + 20cm + 22cm + 30cm => space = 45cm + 22cm + 30cm => space = 67cm + 30cm => space = 97cm²
Good luck! :)
Answer:
97cm square
Step-by-step explanation:
