Answer:
[tex](\frac{5}{2}, 2)[/tex]
Step-by-step explanation:
Hi there!
We are given this system of equations:
2x + y = 7
2x - 3y = -1
And we want to find the solution
There are multiply ways to solve systems of equations, but let's solve this one by elimination, where we will add the two equations together to clear one of them, solve for the un-cleared variable, and then use the value of the un-cleared variable to solve for the cleared one
Before clearing a variable, we need to make sure that the signs on the variables are opposites; for example, -3 and 3, which will add together to get 0
We can multiply the equations beforehand if needed in order to manipulate the numbers.
For example, we can multiply the second equation by -1 in order to switch the signs of each number in that equation:
-1(2x-3y=-1)
-2x+3y=1
Now the signs in front of x are 2 and -2, so we can add the equations together to clear them:
2x + y = 7
-2x + 3y = 1
Add the equations together
4y = 8
Divide both sides by 4
y=2
Now let's use 2 as y to solve for x
In the first equation, substitute 2 for y:
2x + 2 = 7
Subtract 2 from both sides
2x = 5
Divide both sides by 2
[tex]x=\frac{5}{2}[/tex]
As a point, the answer is [tex](\frac{5}{2}, 2)[/tex]
Hope this helps!
evaluate X in 6561=9x
[tex]6561 = 9x [/tex]
Brian is building a sandbox that is 6 feet wide, 3 feet long, and 15 feet high. How many cubic feet of sand with the box hold?
Answer:
270 cubic feet
Step-by-step explanation:
3 * 6 * 15 = 270 cubic feet
Find the volume of the figure
Answer:
121.36
Step-by-step explanation:
L times W times H
Step-by-step explanation:
8 x 3.7 x 4.1 = 121.36
length x width x height = volume
please help with question 4. BRAINLIEST TO CORRECT ANSWER!!!
Answer:
Factor
Step-by-step explanation:
A car salesman sold a cat for $23,575, earning a commission of 4%. How much was his commission? '
Answer:
The commission is 943
Step-by-step explanation:
Take the price of the cat and multiply by the commission rate
23575 * 4%
23575 *.04
943
The commission is 943
six less than half a number is no more than ten
Answer:
is this a question?
Step-by-step explanation:
Answer:
6-n / (n/2)-6,,,,,,,,,
convert 3.34 as a fraction in its simplest form
Answer:
3 17/50
Step-by-step explanation:
find the surface area! correct gets brainliest!
Answer:
where is the picture i cant see anything except find the surface area! correct gets brainliest!
Step-by-step explanation:
Multiply the polynomials. (2x2 + 6x + 6)(3x - 2)
3) Which ordered pair is a solution to the linear
inequality below?
2x-3y <9
A. (6,4)
B. (-1,-9)
C. (2,-5)
D. (-3,-3)
Can you help me
Answer:
A
Step-by-step explanation:
2(6)-3(4)=0<9
PLEAS HELP ILL GIVE BRAINLIEST
SHOW WORK OR NO BRAINLIEST
Answer:
Marta spent a total of $34.29
Step-by-step explanation:
Since she bought 3 towels for $8.50 each you would do 3 times $8.50 to get $25.50 for the towels and since she bought 5 washcloths for $1.25 each you would do 5 times $1.25 to get $6.25 then you would add the totals to get $31.75. Then you would find out the tax by finding out what 8% of $31.75 is which would be 2.54. So you would add $2.54 to $31.75 to get $34.29. So the total amount of money that Marta spent is $34.29
3 times $8.50 = $25.50
5 times $1.25 = $6.25
$25.50 + $6.25 = $31.75
Does anyone know the answer to this?!
Answer:
x = 10cm
y = 45 degrees
Step-by-step explanation:
oof oof oof oof oof oof
This is geometry please help
Answer:
9
Step-by-step explanation:
mn ~Jk
mn x 5/3 = 15
mn = 15 x 3/5
MM = 9
a recipe uses 10 cups of flour. you can only measure using 2/3 cups.
How many 2/3 cups are needed for the recipe?
Ok so I am not exactly sure if you want to know how many whole cups can be added or simply how many 2/3 cups make up 10, but heres what I found.
So to find how many 2/3 is in 10 cups you simply have to divide
10/(2/3) = 15
So 10 cups of flour is 15 (2/3) cups of flour.
Hope this helps :)
Write an equivelant expression using distributive property for these two inequalities
8(−x−12)
5. −8(−x−34y + 72)
Step-by-step explanation:
[tex]8( - x - 12) \\ - 8x - 12 \\ \\ \\ - 8( - x - 34y + 72) \\ 8x + 272y + 576[/tex]
I hope that is useful for you :)
whats the square root of 56 devided by 23 multiplyed by 98 to the power of 3 plus 42=
Answer:
42+1882384/23 √14
Step-by-step explanation:
√56/23 (98^3) +42
42+1882384/23 √14
Khloe invested $11,000 in an account paying an interest rate of 4.8% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 17 years?
Answer:
i just did this problem its 24,880
Step-by-step explanation:
In ΔRST, s = 70 inches, t = 46 inches and ∠R=109°. Find ∠T, to the nearest degree.
Answer:
T = \cos^{-1}(0.890172999145)\approx 27.105\approx 27^{\circ}
T=cos
−1
(0.890172999145)≈27.105≈27
∘
Step-by-step explanation:
weight of sheep,in pounds, at the Southdown sheep farm:
what is the range of weights of the sheep?
plz anwser asap I'm being timed
Answer: 170
Step-by-step explanation:
275-105
what is the answer pls help 5' 2" − 2' 3" =
Answer:
2' 11'
Step-by-step explanation:
Answer:
1.83333333333
Step-by-step explanation:
i dunno if these were supposed to be fractions
Find the surface area of the right cone. Round your answer to the nearest hundredth.
The solution is, the surface area of the right cone is 602 cm^2.
What is surface area of a cone?The surface area of a cone is equal to the curved surface area plus the area of the base: π r 2 + π L r , \pi r^2 + \pi L r, πr2+πLr,
where r denotes the radius of the base of the cone, and L denotes the slant height of the cone.
here, we have,
Given that,
The slant height of the cone, l = 16 cm
The radius of the cone, r = 8 cm
The height of the cone is :
h² = l² - r²
or, h² = 16² - 8²
= 192
or, h = √192
= 13.85
now, we know that,
The surface area of the cone is given by :
SA = πr² + πrl
=200.96 + 401.92
= 601.93
=602
Hence, the surface area of the right cone is 602 cm^2.
to learn more on surface area of cone click:
brainly.com/question/1984638
#SPJ2
What is the area of the figure?
A. 44 sq cm
B. 208 sq cm
C. 192 sq cm
D. 256 sq cm
Answer:
256
Step-by-step explanation:
Answer:
256 cm
Step-by-step explanation:
16 x 4 = 64
16 x 8 = 128
8 x 8 = 64
64 + 64 = 128 + 128 = 256
The interior volume of a refrigerator is 25 cubic feet. The overall dimensions of the refrigerator are 50 inches by 35 inches by 69 inches. What is the approximate difference between the entire volume of the refrigerator and its interior volume?
Answer:
8725 cubic feet
Step-by-step explanation:
First, you have to figure out the volume of the refrigerator which your equation is:
length x width x height = volume
50 x 35 x 60 = 105,000 cubic inches
then you can transfer either inch to feet or feet to inch.
8750 cubic feet
to 25 cubic feet
So we have the equation 8750 - 25 = 8725 cubic feet
Answer:
The approximate difference between the entire volume of the refrigerator and its interior volume is 44.88 cubic feet
Step-by-step explanation:
What is volume?
Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.
Given,
Interior Volume = 25 cubic feet = 43200 cubic inches
The Entire volume of the refrigerator is,
=50*35*69
=120750 cubic inches
Approximate Difference
=120750 - 43200 = 77550 cubic inches = 44.88 cubic feet.
To know more about volume here
https://brainly.com/question/15861918
# SPJ2
Please answer this as soon as possible.
Answer:1st one is acute 2nd one is also acute 3rd one is obtuse last one is right
Step-by-step explanation:
Because I learned this already
Which measurement is equivalent to 1 pound?
16 ounces
12 ounces
8 ounces
4 ounces
1 pound is equivalent to 16oz
A bag contains 5 red marbles, 4 white marbles, and 9 blue marbles. You pick a marble without looking. Find the probability of drawing a white marble.
A.2/9
B.5/18
C.7/9
D.1/2
Could someone give me the answer to this question
100 points HELP ASAP!!!!!
This question has two parts. First, answer part A. Then, answer part B. ill put story at bottom
Part A
What is the purpose of the first paragraph of the article?
A.
to tell where the Eiffel Tower and Hoover Dam are located
B.
to show just how different the Eiffel Tower and Hoover Dam are
C.
to explain what is meant by the phrase “marvels of engineering”
D.
to describe how one type of material was used to make different structures
Part B
Which detail from the text best supports your answer in part A?
A.
“It’s hard to imagine two more different structures . . .”
B.
“Everyone expected it to remain in place for many, many years.”
C.
“Each piece had to be the right size and shape.”
D.
“Teams of people worked to take out the bolts and put in the rivets.”
MARVELS OF ENGINERING
It’s hard to imagine two more different structures than the Eiffel Tower and Hoover Dam. For one thing, the Eiffel Tower is in Paris, France, and Hoover Dam is on the border between Nevada and Arizona. The Eiffel Tower is elegant and delicate looking, but Hoover Dam looks like a huge slab of concrete. The Eiffel Tower was made of many parts put together. But the concrete for Hoover Dam was poured at the site. The Eiffel Tower was built for a fair and was not intended to remain in place for long. Hoover Dam was built to allow water to be used in desert country and to create electricity. Everyone expected it to remain in place for many, many years.
Even though these two structures are so different, there are similarities. Each required great effort to complete. Each also necessitated the involvement of many workers. The workers on each faced many challenges and difficulties, and each was built in a series of steps. Each is huge but was built quickly, considering the amount of labor involved.
All of the Eiffel Tower’s parts were made in a factory near Paris. Each piece had to be the right size and shape. Smaller parts were put together and then joined to form a larger piece. These large pieces were put together at the site of the tower. Bolts held together the pieces made at the factory. At the tower, these bolts were pulled out and replaced with hot rivets. Teams of people worked to take out the bolts and put in the rivets.
Hoover Dam was built to replace one that had been washed away, but it was built in a new place. Four tunnels were blasted through rock to cause the Colorado River to flow in new directions. Then the river’s canyon walls had to be cleared. From great heights, workers dangled from ropes. With only air below their feet, they prepared the area for great concrete walls. Far underneath them, the area for the foundation was cleared of mud and loose rock. When this was finished, tons of wet concrete were poured into a gigantic form. For thirty months, concrete was poured until the work was done. Across the Colorado River stood a dam 700 feet tall. When the water was allowed to rush through tunnels, it passed through giant rotary engines, and as their parts whirled, they created electricity.
Making electricity and using water to irrigate dry land were both practical purposes for Hoover Dam. But the Eiffel Tower had no original purpose but to be beautiful. The man who designed it, Gustave Eiffel, looked for a practical use for it. The tower was more than a thousand feet tall, and it was a perfect place for a radio antenna. So, a radio station was built on the tower.
Both the Eiffel Tower and Hoover Dam are popular tourist attractions. Each is considered a marvelous example of engineering skill.
awnser for a: d
awnser for b: a
anything else ?
The function D(t) defines a traveler's distance from home, in miles, as a function of time, in hours.
Question:
The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours.
[tex]D(t) = \left \{ {{300t + 125,\ 0 \le t < 2.5} \atop {880,\ 2.5 \le t \le 3.5}} \right.[/tex]
[tex]75t + 612.5,\ 3.5 < t \le 6[/tex]
Which times and distances are represented by the function?
(a)The starting distance, at 0 hours, is 300 miles.
(b) At 2 hours, the traveler is 725 miles from home.
(c) At 2.5 hours, the traveler is 875 miles from home.
(d) At 3 hours, the distance is constant, at 880 miles.
(e) The total distance from home after 6 hours is 1,062.5 miles.
Answer:
At 2 hours, the traveler is 725 miles from home. At 3 hours, the distance is constant, at 880 miles. The total distance from home after 6 hours is 1,062.5 miles.Step-by-step explanation:
Given
[tex]D(t) = \left \{ {{300t + 125,\ 0 \le t < 2.5} \atop {880,\ 2.5 \le t \le 3.5}} \right.[/tex]
[tex]75t + 612.5,\ 3.5 < t \le 6[/tex]
Required
Select the right options
(a) t = 0 hours, d(t) = 300 miles.
To check this, we make use of:
[tex]D(t) = 300t + 125, 0 \le t < 2.5[/tex]
So, we have:
[tex]D(0) = 300*0 + 125[/tex]
[tex]D(0) = 0+125[/tex]
[tex]D(0) = 125[/tex]
(a) is incorrect
(b) t =2 hours, d(t) = 725 miles
To check this, we make use of:
[tex]D(t) = 300t + 125, 0 \le t < 2.5[/tex]
[tex]D(2) = 300 *2 + 125[/tex]
[tex]D(2) = 600 + 125[/tex]
[tex]D(2) = 725[/tex]
(b) is correct
(c) t = 2.5 hours, d(t) = 875 miles
To check this, we make use of:
[tex]D(t) = 800, 2.5 \le t \le 3.5[/tex]
So, we have:
[tex]D(2.5) = 800[/tex]
(c) is incorrect
(d) t = 3 hours, d(t) = 880 miles constant
To check this, we make use of:
[tex]D(t) = 800, 2.5 \le t \le 3.5[/tex]
So, we have:
[tex]D(3) = 800[/tex]
(d) is correct
(e) t = 6 hours d = 1,062.5 miles.
To check this, we make use of:
[tex]D(t) =75t + 612.5,\ 3.5 < t \le 6[/tex]
So, we have:
[tex]D(6) =75*6 + 612.5[/tex]
[tex]D(6) =450 + 612.5[/tex]
[tex]D(6) =1062.5[/tex]
(e) is correct
what is .15 repeating as a fraction in simplest form
Answer:
15 = 533 as the lowest possible fraction. The repeating decimal 0.
Step-by-step explanation: