Answer:
x = 2
y = 1
Step-by-step explanation:
1) Re-arrange
(Solving for y)
-2x -3y = -7 --> x3
6x - y = 11 --> x1
-6x -9y = -21
6x -y = 11
-9y = -21
-y = 11
(-9y + -y) = (-21 + 11)
-10y = -10
y = -10/-10
y = 1
2) Substitute
6x - 1 = 11
6x = 11 + 1
6x = 12
x = 12/6
x = 2
Answer: x = 2, y = 1
Step-by-step explanation:
Rearrange the second equation so it just works a little easier for you:
-2x - 3y = -7
rearranged to make y (with its constant) the subject:
3y = 7 - 2x
So we know what y equals. The question tells us y = 6x - 11. So substitute those values into the rearranged equation.
3y = 7 - 2x becomes:
3(6x - 11) = 7 - 2x
because as stated in the question, y = 3x - 11.
Expand the brackets on the left-hand side:
18x - 33 = 7 - 2x
Rearrange to collect like terms:
18x = 7 + 33 - 2x
18x = 40 - 2x
18x + 2x = 40
20x = 40
x = 40/20
x = 2.
So now we know the value of x.
Let's input our new found value of x into one of the given equations, such as y = 6x - 11.
y = (6 * 2) - 11
y = 12 - 11
y = 1.
So y = 1.
You can test this by inputting these values into the other equation, for assurance.
-2x - 3y = -7 becomes:
(-2 * 2) - (3 * 1) = -7
(-4) - 3 = -7
-7 = -7
PLZ HELP 10 POINTS!!
Answer:
i think its not equivalent but NOT sure
Step-by-step explanation:
PLZZZ HELP!!!
Find an equation for the line below. 
Answer:
y = -¼x + ½Step-by-step explanation:
Given points (-2, 1) and (6, -1):
Start by solving for the slope of the line, using the following formula:
m = (y2 - y1)/(x2 - x1)
Let (x1, y1) = (-2, 1)
(x2, y2) = (6, -1)
m = (y2 - y1)/(x2 - x1)
m = (-1 - 1)/[6 - (-2)]
m = -2/(6 + 2) = -2/8 = -¼
Therefore, the slope of the line is m = - ¼.
Next, to determine the y-intercept (b), use one of the given points (6, -1) and the slope, and plug in these values into the slope-intercept form:
y = mx + b
-1 = -¼(6) + b
-1 = -3/2 + b
-1 + 3/2 = -3/2 + 3/2 + b
½ = b
Therefore, the y-intercept, b = ½.
The linear equation of the given graph is:
y = -¼x + ½Please answer question c
Answer:
the mean number of magazine readers is 200
The number 51 is decreased to 26. What is the percentage by which the number was decreased, to the nearest tenth of a percent?
Answer:
49.02%
Step-by-step explanation:
Difference:
= 51-26
= 25
Decreased percentage
= 25/51 * 100%
= 49.02
Some people advise that in very cold weather you should keep the gas tank in your car more than half full Louis car had 6.9 gallons in a 15 gallon tank on the coldest day of the year blue filled the tank with gas that cost 3.90 per gallon how much did we spend on gas
Suppose your statistics professor reports test grades as z-scores, and you got a score of 2.25 on an exam.
a) Write a sentence explaining what that means.
b) Your friend got a z-score of −1. If the grades satisfy the Nearly Normal Condition, about what percent of the class scored lower than your friend?
what is an equation of the line that passes through the points (3,-9) and (-12,-6)
What two numbers can be used for the denominators of 5/8 and five/4
equal denominators can be 8, 16, 24, etc
but for this one, you can use 8.
In question 12 write a valid conclusion for the given set of premises or indicate that no conclusion is possible.
12. If it doesn't rain, then Kristen will go swimming this weekend.
Kristen does not go swimming this weekend.
Answer: It rained.
Step-by-step explanation: Based off the information given, you can safely assume the reason she didn’t go swimming was because it was raining.
21 less than tree-fifths of a number
(3/5)x - 21
hope this helps :)
You tested a sample of 100 packages from a shipment of 6000 packages. You
found that 70 packages were under weight. Estimate the number of packages that
will be under weight.
Answer:
100 p have 70 p under weight
6000p have: 6000*70/100=4200
Step-by-step explanation:
figures that formed by intersecting two inverted cones and a plane.
Answer:
hyperbola is formed by intersecting two inverted cones and a plane.
Mrs. Matherne received a grant to take some of her students on a field trip to the Audubon Zoo. Before she could release the permission slips to the students, she had to determine how many students she could take on the field trip. The total amount of the grant that she received $1,250.00. The grant total was to pay for the round trip bus ride and each students' admission ticket to the zoo. The round trip bus ride will cost $350, and the admission into the zoo is $10.00 per student.
Part A: WRITE an algebraic equation using the information provided above. Use "s" as your variable, which represents the number of students that can attend the field trip. (SHOW YOUR WORK)
Part B: SOLVE the algebraic equation and determine how many students can attend the field trip. (SHOW YOUR WORK)
In this problem, we build and solve an expression.
a)
The expression is:
[tex]350 + 10s = 1250[/tex]
b) 90 students can attend the field trip.
Item a:
The spendings are:
Round trip bus ride of $350.$10 per student s.Thus, in total:
[tex]350 + 10s[/tex]
Has $1,250.00 to spend, thus:
[tex]350 + 10s = 1250[/tex]
Item b:
The number of students that can attend the trip is the solution for s, thus:
[tex]350 + 10s = 1250[/tex]
[tex]10s = 900[/tex]
[tex]s = \frac{900}{10}[/tex]
[tex]s = 90[/tex]
Then, 90 students can attend the field trip.
A similar problem is given at https://brainly.com/question/22312773
The sum of two nunbers is 80
Answer:
x + (80-x) = 80
Hope this helps
integration of sin3xsinx
Recall that
cos(x + y) = cos(x) cos(y) - sin(x) sin(y)
cos(x - y) = cos(x) cos(y) + sin(x) sin(y)
If you subtract the first equation from the second one, you end up with
cos(x - y) - cos(x + y) = 2 sin(x) sin(y)
so that
sin(3x) sin(x) = 1/2 (cos(3x - x) - cos(3x + x)) = 1/2 (cos(2x) - cos(4x))
Then in the integral,
[tex]\displaystyle \int \sin(3x)\sin(x)\,\mathrm dx = \frac12 \int(\cos(2x)-\cos(4x))\,\mathrm dx \\\\ = \frac12 \left(\frac12 \sin(2x) - \frac14 \sin(4x)\right) + C \\\\ = \boxed{\frac14 \sin(2x) - \frac18 \sin(4x) + C}[/tex]
Multiply (-2) (-2)(9)
Answer:
-2×(-2)×9
= 4×9
= 36
Step-by-step explanation:
lf you like my answer than please mark me brainliest thanks
Answer:
OPTION ( A) 36Step-by-step explanation:
(-2) (-2)(9)=36HOPE IT HELPS
pls help me adwadawd
9514 1404 393
Answer:
15.5 lb
Step-by-step explanation:
The average weight of the top 5 fish was 12.9 lb:
(? +14.4 +12.8 +11.6 +10.2)/5 = 12.9
? +49 = 64.5 . . . . . . multiply by 5
? = 15.5 . . . . . . . . subtract 49
The weight of the heaviest fish was 15.5 lb.
What is the 5th term of the sequence defined by f(n) = 3(n-3)
Answer:
f(n) = 3(n-3).
f(5)=3(5-3)
f(5)=6
Options for #1
15.6
50.42
56.4
91.22
91.55
107.15
Options for #2
50.42
91.22
91.55
107.15
141.97
147.95
1. 56.4
2.107.15
So for the first one I subtracted like this:53.41- -2.99=56.4
You may be wandering why i subtracted that way,I did that because you are meant to subtract and the second number already has a negative sign which is MINUS.
And for the second I subtracted the smaller number from the bigger number this way:144.96 ‐ 37.8
Hope this helps...
Is your answer.
HELPPPPPP ASAPPPPPP!!!!!!!!
A company rents out 13 food booths and 27 game booths at the county fair. The fee for a food booth is $50 plus $8 per day. The fee for a game booth is $80 plus $7 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.
Answer:
ifruhhwhahsjjdhwjdkk
Quadrilateral DEFT has vertices D(2, 7), E(-4, 4), F(5, -6), and T(11, -3). What is the best name for quadrilateral DEFT?
Answer:
parallelogram
Step-by-step explanation:
slope of DE = (4-7) / (-4 - 2) = 1/2
slope of FT = (-3 - -6) / (11-5) = 1/2
DE // FT
slope of EF = (-6 - 4) / (5 - -4) = - 10/9
slope of DT = (-3 - 7) / (11 - 2) = - 10/9
EF // DT
The quadrilateral is formed by the vertices D(2, 7), E(-4, 4), F(5, -6), and T(11, -3) will be a parallelogram.
What is a parallelogram?A parallelogram is a quadrilateral having four sides and the two opposite sides are equal and parallel to each other.
Given that quadrilateral, DEFT has vertices D(2, 7), E(-4, 4), F(5, -6), and T(11, -3).
Slope of DE = (4-7) / (-4 - 2) = 1/2
Slope of FT = (-3 - -6) / (11-5) = 1/2
DE is parallel to FT.
Slope of EF = (-6 - 4) / (5 - -4) = - 10/9
Slope of DT = (-3 - 7) / (11 - 2) = - 10/9
EF is parallel to DT.
Therefore, the quadrilateral is formed by the vertices D(2, 7), E(-4, 4), F(5, -6), and T(11, -3) will be a parallelogram.
To know more about parallelogram follow
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Hello, hope everyone is well, please help on this Drag and Drop question (:
what is 2 times negative 4/5
Find the tangent of <X
Simplify your answer and write it as a proper fraction, improper fraction, or whole number.
Answer:
tangent = perpendicular / Base
if our angel is x
then
base = 3
perpendicular = 4
which means
angle X = 4/3
Step-by-step explanation:
hope it helps
10. The temperature in New York was -8.7 degrees. In Maryland the
temperature was 33.1 degrees. How many degrees warmer was the
temperature in Maryland?
a) 41.8
b) 24.4
c) 38.6
d) 19.8
b) 24.4
Step-by-step explanation:
Is known :
The temperature in New York was -8,7 degrees,In Maryland the temperature was 33,1 degrees.Asked :
Many degrees warmer was the temperature in Maryland?Answered :
33,1 + (-8,7)
= 24,4
One length of a rectangular garden lies along a patio wall. However, the rest of the garden is enclosed by 40 feet of fencing. If the length of the garden is three times it’s width, what is the area of the garden ?
The area of the rectangular garden is determined as 192 ft² from the product of the width and length.
What is the area of the rectangular garden?The area of the rectangular garden is calculated by applying the following method.
let the width of the garden = w
then, length of the garden = 3w
The resultant length or remaining length;
= 3w - w
= 2w
The value of the width of the garden is calculated by applying the formula for perimeter of a rectangle.
2w + w + 2w = 40
5w = 40
w = 40/5
w = 8 ft
So the length of the garden = 3 x 8 = 24 ft
The area of a rectangle is calculated as follows;
Area = 8ft x 24 ft
Area = 192 ft²
Learn more about area of garden here: https://brainly.com/question/386401
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what is 6 1/4 divided by 5 evenly
Answer:
1 1/4
Step-by-step explanation:
here is the exact form if your looking for that. :)
5/4
and heres the decimal form if you are looking for that :>
1.25
You can walk 2 miles in 36 minutes. How long will it
take you to walk 5 miles?
Answer:
90 min
Step-by-step explanation:
if 2 miles is equal to36 minutes what about 5 miles
Answer:
90 minutes. 1 hour, 30 minutes.
Step-by-step explanation:
36 minutes = 2 miles
? minutes = 5 miles
There are many ways to solve this, for example, creating an equation. But I am going to show you how to solve this using fractions.
Step 1: Set up a fraction.
Make sure your values are in the correct order. 2 miles is 36, so 5 miles would be a variable. We will make that variable of time "t".
[tex]\frac{36}{2} = \frac{t}{5}[/tex]
Also, make sure the values with the same units are on the same level. For example, 2 miles and 5 miles are both under, although they can be at the top, too, they just both have to be at the same place.
Step 2: Solve for the variable.
[tex]\frac{36}{2} = \frac{t}{5}[/tex]
On one side, we see 36 over 2. We should solve that first. [tex]\frac{36}{2}=36\div2=18[/tex]
We are left with [tex]18 = \frac{t}{5}[/tex]
Multiply 5 to both sides
[tex]5\cdot18=\frac{t}{5} \cdot5[/tex]
18 times 5 equals 90
5 cancels 5, so that leaves us with 90.
Step 3: Convert 90 minutes to hour.
60 minutes = 1 hour
Since we know 60 minutes makes 1 hour, we can find out how many are left from 90 minutes by subtracting 60 from 90
[tex]90-60=30[/tex]
It will take 1 hour and 30 minutes to walk 5 miles.
Given PS=RT, PQ=ST
Prove: QS=RS
Answer:
sir plz said that diagram in which it's is say