Solve the simultaneous equations by substitution 3 x − 7 y = − 10 x = 5 y + 2
Answer:
[tex]3x-7y=-10_{(1)} \\x=5y+2_{(2)}\\[/tex]
Substituting Equation 2 into equation 1
[tex]3(5y+2)-7y=-10_{(3)} \\15y+6-7y=-10\\15y-7y+6=-10\\8y+6=-10\\8y=-10-6\\8y=-16\\y=\frac{-16}{8} \\y=-2\\[/tex]
Substitute the value of y into Equation 2
[tex]x=5y+2\\x=5(-2)+2\\x=-10+2\\x=-8\\[/tex]
Therefore x=-8, y=-2
Step-by-step explanation:
Have a nice day :)
1. A bottling company uses a machine to fill the bottles with olive oil. These bottles are
designed to contain 475 millilitres (ml). In fact, the contents vary according to a normal
distribution with a mean of 473 ml and standard deviation of 3 ml. A) What is the distribution, mean, and standard error of the sample mean of six randomly
selected bottles?
Using the Central Limit Theorem, it is found that the distribution of the sample mean of six randomly selected bottles is approximately normal, with mean 473 ml and standard error of 1.22 ml.
Central Limit TheoremThe Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
In this problem, for the population, we have that:
[tex]\mu = 473, \sigma = 3[/tex]
Then, for the sample of n = 6:
[tex]s = \frac{3}{\sqrt{6}} = 1.22[/tex]
More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213
cycle charges an initial price of $15 plus $0.75 per hour for bike rentals which is represented by the expression 15+0.75h
The ratio of the surface areas of 2 rectangles is 256:484. What is the ratio of their heights?
Answer:
182:242
Step-by-step explanation:
Reduce the ratio by its halves (50 percent) and simplify.
Although for this case, you could reduce it even further, because this is a ratio, not the true height.
If this is a test, I would not recommend that.
hey can y’all help me with this question from grad point ?? it’s so hard
Answer:
the answer is number is the last one
a family buys 5 airline tickets online. The family buys travel insurance that costs $17 per ticket. The total cost is $1,495. Let x represent the price of one ticket. Write an equation for the total cost. Then find the price of one ticket.
Answer:
$282
Step-by-step explanation:
The price per ticket can be found by dividing the total cost by the number of tickets, then subtracting the value of any per-ticket add-ons.
5(x +17) = 1495 . . . . . total cost of 5 tickets with 17 per ticket ins charge
x +17 = 299 . . . . . . divide by 5
x = 282 . . . . . . . price of 1 ticket
The price of one ticket is $282.
can anyone do these ?
Answer:
1. (x-6)(x+1)
Verify = x² + x - 6x - 6 = x² - 5x - 6
2. (x+8)(x-5)
Verify = x² - 5x + 8x - 40 = x² +3x - 40
3. (x-10)(x+3)
Verify = x² + 3x - 10x - 30 = x² - 7x - 30
Study the box plot shown. Then enter numbers for each of the values below
Answer:
My guess is that the first box is 1 and the second box is 2 but that is a guess. I hope that helped! :)
Step-by-step explanation:
Answer:
1st box
Step-by-step explanation:
What is the reflection of the point (-5,2) in the line y=2?
Answer:
-2/5
Step-by-step explanation:
When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).
How many pounds of $2. 4/lb trail mix should a grocer combine with 5 lb of $1. 5/lb trail mix to get $1. 9/lb trail mix?
ANSWER IN POUNDS PLEASE I BEG YOU!!!!
WILL MARK BRAINLIEST
By solving a linear equation, we can see that you should use 4lb of the $2.4/lb mix.
How much of each mixture should you use?
First, if you use x pounds of the $2.4/lb mix, the total mass of mixture that you will have is:
(x + 5lb).
And that mass must cost $1.5/lb, so the costs on the left side must be equivalent to the cost on the right side.
x*$2.4/lb + 5lb*($1.5/lb) = (x + 5lb)$1.9/lb
Now we need to solve this for x
x*$2.4/lb + 5lb*($1.5/lb) = x*$1.9/lb + 5lb*$1.9/lb
x*$2.4/lb - x*$1.9/lb = 5lb*$1.9/lb - 5lb*($1.5/lb)
x*$0.5/lb = $2
x = $2/($0.5/lb) = 4lb
You should use 4lb of the $2.4/lb mix.
If you want to learn more about linear equations, you can read:
https://brainly.com/question/1884491
Two congruent squares and a parallelogram were used to form the figure shown.
3 m; 2.8 m; 6 m; 3 m.
What is the area of the figure in square meters?
25.8 m2
40.8 m2
34.8 m2
28.8 m2
Answer:
the answer is 40.8 m2
Step-by-step explanation:
The area of a figure is the amount of space the figure occupies
The surface area of the figure is 34.8 square meters
How to determine the area of the shape
From the question, we have:
The dimensions of the congruent squares are 3 m by 3 m
The dimensions of the parallelogram are height of 2.8 m, and base of 6 m
So, the area of the figure is:
Area = 2 * Area of square + Area of parallelogram
This gives
Evaluate the products
Evaluate the sum
Hence, the surface area of the figure is 34.8 square meters
Read more about surface areas at:
brainly.com/question/24571594
so the answer is 40.8 m2
The area of a figure is the amount of space the figure occupies
Hence, The surface area of the figure is 34.8 square meters
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Now, From the question, we have:
The dimensions of the congruent squares are 3 m by 3 m
The dimensions of the parallelogram are height of 2.8 m, and base of 6 m
So, the area of the figure is:
Area = 2 × Area of square + Area of parallelogram
This gives;
Area = 2 × 3 × 3 + 2.8 × 6
Area = 18 + 16.8
Area = 34.8 m²
Hence, The surface area of the figure is. 34.8 square meters
Learn more about surface areas at:
brainly.com/question/24571594
#SPJ3
Which of the following inequalities matches the graph?
Answer:
the answer would be answer B
Help! I need help!
- solve the system using elimination....
x - 3y = -11
-x + 2y = 7
We minus these equations : x - 3y - (-x + 2y) = -18
= x - 3y + x - 2y = -18
2x - 5y = -18
Now, we add these equations :
x - 3y = -11
-x + 2y = 7
-> x - 3y - x + 2y = -4
-y = -4
y = 4
Replace it in 2x - 5y = -18
2x - 20 = -18
2x = -18 + 20 = 2
x = 1
Recheck : 1 - 3 x 4 = -11
-1 + 8 = 7.
how to find the missing side of a triangle in trig for geometry
Step-by-step explanation:
cosine is cos(angle)= adjacent/hypotenuse
sine is sin(angle) = opposite/hypotenuse
Tangent is tan(angle)= opposite/adjacent
for all of those
if the equation is something like tan(69)= x/69
multiply both sides by 69 so it will end up as x=69tan(69) and put that in the calculator
if it is something like tan(69)= 69/x
just swap x and tan(69)
it is much easier
it will then be 69/tan(69) and put that in the calculator
If 2a , 3a , 4a and 6a are the angles of a quadrilateral , Find them .
i need answer of 1. d no
step by step
process by process
who will give correct answer
i will make him/her as a brainlists
Step-by-step explanation:
sum of angle of quadrilateral is 360°
so,
2a+3a+4a+6a=360°
15a=360°
a = 360°/15= 24°
Now,
2a= 2×24=48
3a=3×24=74
4a=4×24=96
6a=6×24=120
Question Drag each tile to the correct box. a Match the character traits to the character names. :)) Tiles Jack Worthing Algernon Moncrieff Gwendolen Fairfax Cecily Cardew Lady Bracknell Pairs Traits Characters believes that style is more important than sincerity leads a double life a cunning snobbish, and dominating woman extremely imaginative and lives in a fantasy world of her own a dandy Submit
Answer:
i cant see the photo
Step-by-step explanation:
Answer:
Gwendolen FairFax - believes that style is more important than sincerity
Jack Worthing - leads a double life
Lady Bracknell - a cunning, snobbish, and dominating woman
Cecily Cardew - extremely imaginative and lives in a fantasy world of her own
Algernon Moncrieff - a dandy
Explanation:
Edmenteum
The diameter of a circle is 12 kilometers. What is the circle's circumference? Use 3.14 for .
» The diameter of a circle is 12 kilometers. What is the circle's circumference? Use 3.14.
[tex]\blue{\bold{37.68 \: \:kilometers}}[/tex]— — — — — — — — — —
Step-by-step explanation:To find the circumference, use pi (π), a mathematical constant. Its value is approximately equal to 3.14.
— Multiply the diameter with π in order to get the circumference of a Circle.
[tex] \tt \: d = 12 km \\ \tt \: \: C = π × d \tt \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14×12 \: km \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \underline{ \boxed{ \purple{ \bold{ 37.68 \: km}}}}[/tex]Therefore, the circumference of the circle is 37.68 kilometers.
_______________∞_______________
Answer:
37.68km
Step-by-step explanation:
c=2πrthus
2×3.14×6= 37.68alternative
c= πDc= 3.14×12= 37.68kmA grocery store sells a bag of 5 oranges for 3.00. If matthew spent 4.80 on oranges, how many did he buy?
Answer:
8
Step-by-step explanation:
Money/How Many
3.00/5=0.6 which means that 0.6 is the unit rate, which you now divide 4.80, the money, by 0.6, 4.80/0.6=8
Matthew got eight oranges.
71.2% of 722.69 what is this
Answer:
514.5552
Step-by-step explanation:
:)
Answer:
514.55528
Step-by-step explanation:
that what 71.2% of 722.69 is it is 514.55528
8 apples cost $1.44 how mucho is 1 cost
Answer:
$0.18
Step-by-step explanation:
apple(s) : price
8 : $1.44
4 : $0.72
2 : $0.36
1 : $0.18
explain how the unit circle definition of sin and cos is related to the equations sin(theta)=O/H and cos(theta)=A/H
The sine and cosine are related to the definitions because of the identity [tex]\cos^{2}\theta + \sin^{2}\theta = 1[/tex].
How cosine and sine are related in the unit circleThe unit circle is a particular case of the Pythagorean theorem, in which hypotenuse ([tex]r[/tex]) has a measure of a unit. That is:
[tex]x^{2}+y^{2} = r^{2}[/tex] (1)
Where:
[tex]x[/tex] - Horizontal leg[tex]y[/tex] - Vertical legIf we divide the entire expression by [tex]r^{2}[/tex], then we have the following identity:
[tex]\left(\frac{x}{r} \right)^{2}+\left(\frac{y}{r} \right)^{2} = 1[/tex]
And by trigonometric relations, we have the following formula:
[tex]\cos^{2}\theta + \sin^{2}\theta = 1[/tex] (2)
The sine and cosine are related to the definitions because of the identity [tex]\cos^{2}\theta + \sin^{2}\theta = 1[/tex]. [tex]\blacksquare[/tex]
To learn more on trigonometry, we kindly invite to check this verified question: https://brainly.com/question/6904750
If you have3/12 of an orange how many fourths do you have?
Answer:
1/4
Step-by-step explanation:
A good way to explain this is if you have a bar split into fourths you are able to split each part into three parts making them twelfths
pls help this is due tomorow
Answer:
Only Katie is correct
Step-by-step explanation:
4:10 = 2:5
3:9 = 1:3
10:25 = 2:5
4:10 = 10:25
Answer:
Katie
Step-by-step explanation:
if you multiply 4 by 2.5, you get 10. if you multiply 10 by 2.5 you get 25!
Question 4 options:
A prism with a base area of 6 ft² and a height of 7 ft is dilated by a factor of 3/2.
The volume of the dilated prism is ___ cubic ft
On Nick's playlist, 5/12 of the songs are pop. What fraction of the
songs, n, are NOT pop?
How can you draw a picture and write an equation to
represent the problem?
Answer:
7/12
Step-by-step explanation:
Draw a rectangle with 12 squares. 5 of them will be pop and 7 will not.
The equation will be 12/12 = 5/12 + n. You will subtract 5/12 from each side and get 7/12 = n.
A group of 125 teenagers were asked which of the following activities they would most likely choose to spend their free time doing: reading a book, watching television, playing video games, or listening to music. The results are displayed in the circle graph below.
How many teenagers chose listening to music?
a. 40
b. 50
c. 45
d. 35
Answer:
d
Step-by-step explanation:
28÷100×125=35
hope it helps
Answer:
35
Step-by-step explanation:
28% of 125=35
16% of 125=20
32% of 125=40
24% of 125=30
Jamstock gas station sold 417. 5849 litres of gas in a day. How may litres of gas did the gas station sell, rounded to the nearest hundredth
Answer:
417.5500
because 49 is lower than 50
What does point A represent on the graph?
On a coordinate plane, a graph titled Chicken Salad Recipe has number of salads on the x-axis and Cups of chicken on the y-axis. Point A is (3, 1.5). Points (1, 0.5), (2, 1), and (4, 2) are also plotted.
Answer:
the graph represents how many cups of chicken are required to make X number of salads
so point A represents making 3 salads requires 1.5 cups of chicken
find the value of 7 + 3^(2) (-5 + 1)-:2
Answer:
7+(((3^2)*((-5)+1))/2
=-11
Step-by-step explanation:
5 4/7 + 3 13/21
Enter your answer as a mixed number in simplest form
Answer:
9 1/7
Take 5 4/7 + 3 13/21 and get 9 1/7