Answer:
Step-by-step explanation:
9x+3y=420 ---------- (eq1)
1x+6y=296 -----------(eq2)
to solve by elimination, we first multiply (eq 1) by 2
(eq1) x 2
2(9x+3y)=2 (420)
18x + 6y = 840 -----(eq 3)
eliminate y term by subtracting (eq2) from (eq3)
(eq 3) - (eq 2)
(18x + 6y) - (1x+6y) = 840 - 296
18x + 6y - 1x-6y = 544
18x - 1x = 544
17x = 544 (divide both sides by 17)
x = 544/17 = 32
Since you said that you are not looking for the answer, i will stop here, but to get the y value, subtitute the value of x which we found, back into eq 1 or 2 to find y
What is the answer to -1/2(1/4x-3/8)
In △FEG , point H is between points E and F, point J is between points F and G, and HJ¯¯¯¯¯∥EG¯¯¯¯¯ .
EH=14 , HF=26 , and FG=60 .
What is FJ ?
Answer:
[tex]FJ=39\ units[/tex]
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem
△FEG is similar with △FHJ -----> by AA Similarity Theorem
so
[tex]\frac{FE}{FH}=\frac{FG}{FJ}[/tex]
we have
[tex]FE=HF+EH=26+14=40\ units[/tex]
[tex]FH=HF=26\ units[/tex]
[tex]FG=60\ units[/tex]
substitute the given values
[tex]\frac{40}{26}=\frac{60}{FJ}[/tex]
[tex]FJ=26(60)/40\\FJ=39\ units[/tex]
Answer:
The answer is 39!!
Step-by-step explanation:
the sum of two numbers is 22. the difference is 6 what are the two numbers?
Answer:
8,14
Step-by-step explanation:
Let one number = x
Other number = 22-x
x - (22-x) = 6
x - 22 +x =6
2x = 6 + 22
2x = 28
x = 28/2
x = 14
Other number = 22 - 14 =8
give me the answer to 588 multiplied by 48
Answer:
28,224
Step-by-step explanation:
use photomath it will help u with math problems.
Answer:28224
Step-by-step explanation:
Write this algebraic expression to a verbal expression.
3(3j + 7 + 3j)
Best answer gets Brainliest!!!!
Answer:
The sum of three times j and three times j and the number seven, all multiplied by three.
Step-by-step explanation:
What is the sum of 9/10+3/8 ?
A. 3/20
B. 21/40
C. 1 9/40
D. 1 11/40
7(3x -4) + 64 when x =6
Answer:
see attached picture shown
2726 divided by 36 = ?
Answer:
75.7(repeating)
Step-by-step explanation:
Solve the equation. Simplify your answer if possible.
(1/8)t-(5/2)=1
Answer:
The answer is, t = 28.
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
1
8
t+
−5
2
=1
Step 2: Add 5/2 to both sides.
1
8
t+
−5
2
+
5
2
=1+
5
2
1
8
t=
7
2
Step 3: Multiply both sides by 8.
8*(
1
8
t)=8*(
7
2
)
t=28
Use the rule (x,y) (y,-x) to graph the image of the triangle at right.
Step-by-step explanation:
Transforming the coordinates from (x, y) to (y, x) leaves the triangle unchanged.
Step-by-step explanation:
When the coordinates are being transformed from (x, y) to (y, x) such that A(1,3) B(-3,4) C(-4,2) are transformed to A(3,1) B(4,-3) C(-4,2), the nature of the triangle remains the same. In other words, it doesn't turn either way. The reason is because the coordinates are the points of intersection between x and y so whichever axis (x or y axes) is plotted first does not transform the given shape.
Answer:
7
Step-by-step explanation:
The graph plots four equations, A, B, C, and D: Line A joins ordered pair negative 6, 16 and 9, negative 4. Line B joins ordered pair negative 2, 20 and 8, 0. Line C joins ordered pair negative 7, negative 6 and 6, 20. Line D joins ordered pair 7, 20 and 0, negative 7.
Which pair of equations has (2, 12) as its solution? (4 points)
Equation A and Equation C
Equation B and Equation C
Equation C and Equation D
Equation B and Equation D
Answer:
The pair of equations which has (2,12) as its solution is,
equation B and equation C.
Step-by-step explanation:
According to the question,
equation of line A is [tex]\frac {y - 16}{x + 6} = \frac {16 + 4}{-6 - 9}[/tex]
or, [tex]\frac {y - 16}{x + 6} = \frac {-4}{3}[/tex]
or, [tex] 3y - 48 = -4x - 24[/tex]
or, 3y + 4x = 24 ------------------(1)
Now, the point (2, 12) doesn't satisfy (1). Hence, (2,12) is not a solution for the line A.
Equation of line B is, [tex]\frac {y - 20}{x + 2} = \frac {20 - 0}{-2 - 8}[/tex]
or, [tex]\frac {y - 20}{x + 2} = -2[/tex]
or, [tex] y - 20 = -2x - 4[/tex]
or, y + 2x = 16 -----------------------------(2)
The point (2,12) is satisfied by (2). Hence, (2, 12) is a solution for line B.
Equation of line C is, [tex]\frac {y + 6}{x + 7} = \frac {20 + 6}{6 + 7}[/tex]
or, [tex]\frac {y + 6}{x + 7} = 2[/tex]
or, y + 6 = 2x + 14
or. y - 2x = 8 -----------------------------------(3)
The point (2, 12) is satisfied by (3). Hence, (2 , 12) is a solution for the line C.
Equation of line D is, [tex]\frac {y - 20}{x - 7} =\frac {20 + 7}{7 - 0}[/tex]
or, [tex]\frac {y - 20}{x - 7} = \frac {27}{7}[/tex]
or, 7y - 140 = 27x - 189
or, 7y - 27x = -49----------------------------------------(4)
The point (2, 12) is not satisfied by (4). hence, (2, 12) is not a solution of the line D
Hence, the pair of equations which has (2,12) as its solution is,
equation B and equation C.
If it takes a whole can of tuna to make 16 servings of tuna salad, what percent of the can will it take to make 5 servings of tuna salad?
Answer:
31.25%
Step-by-step explanation:
Percent of can = 5/16 × 100%
= 31.25%
The 31.25% of the can it will take to make 5 servings of tuna salad if it takes a whole can of tuna to make 16 servings of tuna salad.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
If it takes a whole can of tuna to make 16 servings of tuna salad,
Percent of can = 5/16×100
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.
Percent of can = 31.25 %
Thus, the 31.25% of the can it will take to make 5 servings of tuna salad if it takes a whole can of tuna to make 16 servings of tuna salad.
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ2
Help on this question plz
Answer:it is function and it is 25
Step-by-step explanation:it is 25 in the y inputs because every time the x input increases by one the y input increases by 25
it is a function because each one of the “x” imputes has there own “y” input and if they all have there own that makes it a function. but it there were 2 “y” inputs pointing to one “x” input that would make it a non function
A pasta factory made 7.8 pounds of pasta in 8 minutes. How much pasta, on average, did the factory make each minute?
Answer:
0.975 pasta pounds per minutes
Step-by-step explanation:
8 (X amount of pasta) = 7.8 Pounds
x= 7.8/8
x = 0.975
Estimate the sum by rounding to the tens place
4,351
4,174
3,233
+5,155
———
compare using <, >, = 5+(-4)____-4 + (-7)
Good morning,
Answer:
5+(-4) > -4 + (-7)Step-by-step explanation:
5+(-4) = 5 - 4 = 1
-4 + (-7) = -(4+7) = -11
since 1 > -11 then 5+(-4) > -4 + (-7)
:)
A certain forest covers an area of 2300 km^2. Suppose that each year this area decreases by 4%. What will the area be after 12 years?
Round your answer to the nearest square kilometer.
The value of area after 12 years is 1409 square kilometer
Solution:
Given that,
A certain forest covers an area of 2300 square kilometer
Suppose that each year this area decreases by 4%
To find: Area after 12 years
This is decreasing function
The decrease function is given as:
[tex]y = A(1-r)^t[/tex]
Where,
y is the value after t years
A = initial amount
r = decreasing rate in decimal
t is the number of years
Here in this sum,
A = 2300
t = 12 years
[tex]r = 4 \% = \frac{4}{100} = 0.04[/tex]
Substituting the values in formula,
[tex]y = 2300(1-0.04)^{12}\\\\y = 2300(0.96)^{12}\\\\y = 2300 \times 0.612709\\\\y = 1409.23 \approx 1409[/tex]
Thus value of area after 12 years is 1409 square kilometer
-3/5 x 2/-9 x 8 write your answer in simplest form.
Answer:
16/15
Step-by-step explanation:
[tex]\dfrac{-3}{5}\cdot\dfrac{2}{-9}\cdot 8=\dfrac{3\cdot 2\cdot 8}{5\cdot 9}=\dfrac{2\cdot 8}{5\cdot 3}=\dfrac{16}{15}[/tex]
The two minus signs cancel, so the result is positive.
Look at the image and answer You ONLY GET POINTS FOR ANSWERING CORRECTLY
Answer:
the measure of xy is 9
Add. Write your answer in scientific notation.
(2.8 x 10^9) + (3 x 10^8)
Answer:
3.1 x 10^9
Step-by-step explanation:
(2.8 x 10^9) + (3 x 10^8) = (28 x 10^8) + (3 x 10^8)
= (28+3) x 10^8
= 31 x 10^8
= 3.1 X 10^9
What is 110% expressed as a fraction? 55/5 110%/1 11/10
Answer:
11/10
Step-by-step explanation:
What is the average speed of a car that travels 80 km in 1.5 hours
Answer:
53 1/3 km/h
Step-by-step explanation:
The car is going at 80km in 1.5 hours, so if you divide that value you get 26 2/3 km for every half hour, now you would want to multiply this times 2 to find the value for every hour, so then this would give you the answer 53 and 1/3 kilometers per hour.
Debra’s rectangular vegetable garden measures 9 1/3 yards by 12 years.
Answer:
Debra needs to buy 32 bottles of a quarter of fertilizer, that will cost her $ 473.28 to fertilize her garden of 1,008 square feet or 112 square yards of area.
Correct statement and question:
Debra’s rectangular vegetable garden measures 9 1/3 yards by 12 yards. A bottle of fertilizer cost $14.79. If Debra needs to mix 1/8 cup of fertilizer with water for each square foot of her garden, how many cups of fertilizer did she need? How can you persevere in solving this problem? And what's the answer?
Source:
Previous question that can be found at brainly
Step-by-step explanation:
1. Let's review the information given to us to answer the question properly:
Length of the garden = 12 yards
Width of the garden = 9 1/3 = 9.33 yards
Cost of a bottle of fertilizer = $ 14.79
Ratio of fertilizer : water for the garden = 1/8 cup for each square foot
2. How many cups of fertilizer did she need?
For answering the question, we need to know the area of the garden and convert it to square feet, this way:
Area = Length of the garden * width of the garden
Area = 12 * 9.33 = 111.96 square yards, that we will round to 112
Let's recall that 1 square yard = 9 square feet
Area = 112 * 9 = 1,008 square feet
Now, we can calculate the cups of fertilizer needed:
Cups of fertilizer = 1,008/8 = 126
Finally, for calculating how many bottles of fertilizer does Debra need to buy, let's assume that each bottle has a quart because that information wasn't given to us.
Let's recall that 1 cup = 1/4 quart
126 cups = 32 quarts ⇒ 32 bottles
Cost of 32 bottles of fertilizer = 32 * 14.79
Cost of fertilizer = $ 473.28
The subject of this question is Mathematics.
Explanation:The subject of this question is Mathematics because it involves measuring the dimensions of a rectangular vegetable garden.
Which regression equation best fits these data?
Answer:
the answer is b
Step-by-step explanation:
trust me im looking at the answer rn
Answer:
B
Step-by-step explanation: A.P.E.X
how many cups of milk are in a 0.870 gallon of milk
Answer: The Answer would be 18.6 cups.
Step-by-step explanation: Kinda dont know how to explain it lol
what is 1/3 x 12 help me quick
Answer:
12/3 = 4
Step-by-step explanation:
Show whether the point (3,5) satisfies the inequality
y> 2x -4.
Answer with supporting work:
Answer:
true
Step-by-step explanation:
2*3=6-4=2 5>2 yeaaaaaa
x=—2; x+3y=4 what is y’s value
Answer:
x = -2
x+3y = 4
This is the substitution method. You need to plug the -2 in x's place to get y.
-2+ 3y = 4
3y = 4+2
3y = 6
y= 6/3
y= 2
At a potato chip factory there were 41 machines
working with each machine able to produce 72
chips a minute. If this is enough potato chips to
fill 3 shipping boxes, how many chips are there
per box? How do you know?
Answer:
984 Chips per box
Step-by-step explanation:
41 x 72 = 2952 ÷ 3 (boxes) = 984
Answer:
I got 984 chips per box. (I could be wrong)*
Step-by-step explanation:
My very un-detailed explanation: So you know that there are 41 machines in this potato chip factory and each machine can produce 72 chips every minute. And if this is enough to fill 3 shipping boxes, then the steps to solve this problem is as follows....
1. 41x72=2954 I did this to find the total number of chips that all of the 41 machines make every minute.
2. 2954/3=984 I did this because we know that "2954" chips is the total amount of chips in 3 boxes so to find the amount of chips in each box, we would divide the total number of chips by 3.
What is the slope of the line that contains the points (-2,5) and (6-3)
Answer: m = -1
Step-by-step explanation: In this problem we're asked to find the slope of the line that contains the points (-2,5) and (6,-3).
Using our slope formula, we take the second y minus the first y which in this case is -3 - 5 over our second x minus our first x which in this case is 6 - -2.
-3 - 5 simplifies to -8 and remember that minus a negative can be thought of as plus a positive so 6 - (-2) can be thought of as 6 + (+2) which is 8.
Now we have -8/8. Notice that our slope can be simplified one step further so we have m = -1.
The variable that's used to represent slope is m.