Step-by-step explanation:
-3x+7y = -18 ...1
4x-4y = 8 ...2
...1 × 4
-12x + 28y = -72 ...3
...2 × 3
12x - 12y = 24 ...4
...3 + ...4
28y - 12y = -72 + 24
16y = -48
y = -3
Replace y = -3 in ...2
4x - 4(-3) = 8
4x + 12 = 8
4x = 8 - 12
4x = -4
x = -1
Answer:
[tex]\huge\boxed{\boxed{(x,y)=(-1,-3)}}[/tex]
Step-by-step explanation:
multiply first equation by 4 and second by 3 respectively:
[tex] \begin{cases} \displaystyle - 12x + 28y = - 72 \\ \: \: \displaystyle \: 12x - 12y = 24 \end{cases}[/tex]
combine the equations:
[tex] \underline{ \begin{cases} \displaystyle - 12x + 28y = - 72 \\ \: \: \displaystyle \: 12x - 12y = 24 \end{cases}} \\ \displaystyle16y = - 48[/tex]
divide both sides by -48:
[tex] \displaystyle \: \frac{16y}{16} = \frac{ - 48}{16} \\ y = - 3[/tex]
substitute the value of y to the second equation
[tex] \displaystyle \: 4x - 4. - 3 = 8[/tex]
simplify multiplication:
[tex] \displaystyle \: 4x + 12 = 8[/tex]
cancel 12 from both sides:
[tex] \displaystyle \: 4x = - 4[/tex]
divide both sides by 4
[tex] \displaystyle \: \frac{4x}{4} = \frac{ - 4}{4} \\ x = - 1[/tex]
therefore our solution is
[tex]\displaystyle (x,y)=(-1,-3)[/tex]
A piece of drill rod 2 ft 6 in. long is to be cut into pins, each 2 1/2 in. long.
A. Assume no loss in each cut. How many pins will you get?
B. Assume 1/16 in. waste in each cut. How many pins will you get?
Please explain how you got your answer for both A and B.
Answer:
A) 12 pins
B) 11 pins
Select each expression that is equivalent to 18x + 3.
Answer:
21 is the answer for 18x +3
Step-by-step explanation:
18x + 3
x=3+18
x=21
Which expression is not equivalent to
3x – 2?
Answer:
Step-by-step explanation:
What are the options?
The number of times the family stops to rest during a
trip is dependent upon the number of miles the family
travels. The table below shows the number of stops
made and the number of miles the family traveled.
Predict the number of stops the family will make for a
trip of 900 miles.
Miles
Rest Stops
150
300
450
600
900
1
2
3
4
?
A 5
B 6
C 7
D 8
Answer:
B) 6
Step-by-step explanation:
they make one stop every 150 miles
900/150 = 6 stops
The family will make 6 stops for a trip of 900 miles.
So, the answer is B. 6.
Given is table showing number of stops made and the number of miles the family traveled.
The number of times the family stops to rest during a trip is dependent upon the number of miles the family travels.
We need to determine the number of stops the family will make for a trip of 900 miles.
To predict the number of stops the family will make for a trip of 900 miles, we can observe the pattern in the given data.
From the table, we can see that the number of stops is increasing by 1 for every 150 miles traveled.
So, to find the number of stops for 900 miles, we can divide 900 by 150 and round up to the nearest whole number since the number of stops cannot be a fraction.
900 miles / 150 miles = 6
Therefore, the family will make 6 stops for a trip of 900 miles.
So, the answer is B. 6.
Learn more about Number Patterns click;
https://brainly.com/question/23136125
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An interpretation of data is?
Answer:
Data interpretation refers to the implementation of processes through which data is reviewed for the purpose of arriving at an informed conclusion. The interpretation of data assigns a meaning to the information analyzed and determines its signification and implications.
Step-by-step explanation:
Answer:
The interpretation of data assigns a meaning to the information analyzed and determines its signification and implications.
Step-by-step explanation:
Hope that helps :)
what is The graph of y=-3x+4
Answer:
Use the slope-intercept form to find the slope and y-intercept.
Slope: −3 . y-intercept: (0,4)
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
X Y
0 4
3/4 0
Graph the line using the slope and the y-intercept, or the points.
Slope: −3. y-intercept: (0,4)
x y
0 4
4/3 0
Step-by-step explanation:
What’s the missing side length?
Answer:
14 cm
Step-by-step explanation:
this is because of the far left side of the shape being 6cm and as well as with the 8 cm from one side of the shape being another component to the origin of the side length, this would give us the equation 6 + 8 with out sum coming out to 14 cm being identified as the right unknown length.
Graham deposited $400 in an account that earns 5% annual compounded annually. How much interest will the account earn after 4 years, if he makes no withdrawals or deposits?
PLEASE SHOW YOUR WORK!!!!
WILL MARK BRAINLIEST!!!
Answer:
$480 total or 80$ in interest
Step-by-step explanation:
5 percent of 400 is 20
20 x 4 = 80
400+ 80= 480
he will make $480 after 4 years
An isosceles triangle has an angle that measures 134°. Which other angles could be in that isosceles triangle?
Answer:
[tex]23^{o}[/tex] and [tex]23^{o}[/tex]
Step-by-step explanation:
An isosceles triangle has two of its sides and angles to be equal. Let each of the unknown equal angles be represented by x. Since one of its angles measures 134°, then;
x + x + 134° = [tex]180^{o}[/tex]
2x + 134° = [tex]180^{o}[/tex]
2x = [tex]180^{o}[/tex] - 134°
= 46
x = [tex]\frac{46}{2}[/tex]
= [tex]23^{o}[/tex]
x = [tex]23^{o}[/tex]
The other angles that could be in the isosceles triangle are [tex]23^{o}[/tex] and [tex]23^{o}[/tex].
will give u brainliest pls help me out
Option 1 : x=2
Option 2 : x=-7
Option 3 : y=2
Option 4 : y=-7
Answer:
Option 1
Step-by-step explanation:
First we need to analyse the question to figure out what we need to do. The question is saying that a line is parallel to the y-axis. We know that the y-axis goes up and down, meaning that our line should be pointing up and down crossing the point (2,-7). In order to find where the line is placed, we would have to look at the x-axis to figure out where it is. Using the info provided we could see that the line has to pass (2,-7), and the x for that point is 2. Using all the info we have concluded we know that the equation of the line is x=2.
BRAINLIEST GURANTEED ON 4 and em
who will give the correct answer I will give the brainiest answer
Answer:
7/24
Step-by-step explanation:
I converted all of the denominators to a common one: 24
15/24 + 6/24 - 14/24 is the new equation
21/24 - 14/24= 7/24
hope this helps chu
[tex] \sf Q) \: \frac{5}{8} + \frac{1}{4} - \frac{7}{12} = {?}[/tex]
[tex] \sf \to \frac{5}{8} + \frac{1}{4} - \frac{7}{12}[/tex]
[tex] \sf \to \frac{(15 +6-14)}{24} = \frac{7}{24} [/tex]
[tex]\sf Hence, \: \frac{7}{24} \: is \: the \: answer.[/tex]
.Which student has the greater median test score?
.Which student has the great interquartile range of test scores?
.Which student has the greatest range of test scored?
.Which student has the lowest test score?
.Which student has the higher quartile 1 score?
Answer:
Amy
ED
ED
ED
ED
Step-by-step explanation:
x^2-6x+9=0 I need help
Answer:
We have the quadratic [tex]x^{2} - 6x + 9[/tex] which can factor into [tex]\boxed{(x - 3)(x - 3)}[/tex]
Hope this helps!
WHAT ARE THE REAL SOLUTIONS FOR X IF |X|-7=7? DUE BY 11 HURRY PLEASE
Answer:
x=14,-14
ive answered like 4 of your questions lol
If the height of the aircraft is 5000metres,calculate the temperature outside
Answer:
222
Step-by-step explanation:
for sure 100%
gurantee at your own risk
If JKLM is an isosceles trapezoid, find each value listed below.
Marco is in elementary school. His father is 30 years older than Marco, and his mother is 4 years younger than his father. The ages of Marco, his mother, and his father are all prime numbers. What are their ages?
If u answer this is will give brainlest because today i got my report card!!!1 the first person who answers is the lucky duck!!!!!!
Answer:
marco is 11
dad is 41
mom is 37
Step-by-step explanation:
gg ez
A coin is tossed four times. What is the probability of getting tails four times in a row?
Answer:
11/16
Step-by-step explanation:
P(TTHH) = 4C2*(1/2)^4 = 4!/2!*2!*(1/2)^4=6/16
Total Probablity = 1/16 + 4/16 + 6/16
=11/16
1. Factorise the expressions.
a
2a2 + 2ad + 2ac - ab - bd - bc
Help pls I really need to turn this in !!!!!!!!!
Answer:
g > 8
Step-by-step explanation:
25g > 200, so divide 200 by 25, and you get 8. Since the original symbol was >, keep it.
Help me please :) will mark brainiest
Answer:
1. The length of a necklace that you make at a rate of 10 cm per hour without taking a break.
Step-by-step explanation:
Okay so lets think about this by first looking at the graph we are given.
Whatever is going on, its going up, and steadily. There's no points were the line goes down or curves, right? So it's constant and forward. So now let's look at the possible answers.
1. The length of a necklace that you make at a rate of 10 cm per hour without taking a break.
Is is constant? Yes, the rate is 10 cm/hr. Does it stop? No, you don't take a break. Is it forward? Yes, you are making more of the necklace, not less.
Thinking of the y-axis as amount of necklace made, and x-axis as time spent, this is the right graph.
So this is your answer!! Just to be sure, let's look at the other possible answers.
2. The height of a balloon as it rises, gets caught in a tree, then continues to rise.
This is not constant, because it gets stuck and stops. But it is forward, because it is rising.
Thinking of the y-axis as the height of the balloon, and x-axis as time passed, this is NOT the right graph.
This is not the answer.
3. The total distance you are from home if you ride your bike three mi/hr for 1 hour, then stop for a rest.
It is not constant, because you stop and take a break. But it is forward, because you are moving forward.
Thinking of the y-axis as the speed or distance from home, and x-axis as time passed, this is NOT the right graph.
This is not the answer.
4. The volume of water in a bath tub as it is draining.
This one IS constant, but in the wrong direction. The tub is draining, not filling, so the amount is decreasing. This would be the correct graph, if the slope were negative and the line was like this \ and not like this /.
Thinking of the y-axis as the amount of water in the tub, and x-axis as time passed, this is NOT the right graph.
This is not the right answer.
These leave us with the first answer as being correct.
Pls help if you know-
Suzie is baking blueberry pies to sell at her bakery. She starts with 9 cartons of blueberries, of which she uses 2/3 for the first batch of pies. How many cartons of blueberries does Suzie use for the first batch of pies?
Answer:
.
Step-by-step explanation:
Please help we with this.
"a card is shaped like a rectangle, The card is 9 centimeters long and 4 centimeters wide. what is the area?"
answers:
49
36
13
5
Answer:
36
Step-by-step explanation:
To find area you multiply length×width which is the same as 9×4
9×4= 36
Answer:
36 centimeters
Step-by-step explanation:
A = l x w
A = 9 x 4
A = 36
A line intersects the point (-11, 4) and has a slope of -2. What are the inputs to the point-slope formula? y - [?] = [](x-[])
y - 4 = -2 ( x - ( -11)) which would simplify to y - 4 = -2 ( x + 11) !!
Please answer - Il give brainliest please i need the answer
Answer:
A. x=5,y=6
Step-by-step explanation:
Add y to both sides of the equation.
x=−1+y
x−3y=−13
Replace all occurrences of x with −1+y in each equation.
−1−2y=−13
x=−1+y
Solve for y in the first equation.
y=6
x=−1+y
Replace all occurrences of y with 6 in each equation.
x=5
y=6
The solution to the system is the complete set of ordered pairs that are valid solutions.
(5,6)
The result can be shown in multiple forms. Equation Form: x=5,y=6
help please it’s due soon
( DISTANCE IS A MISTAKE )
Answer:
speed
time
faster
greater
You can fill in these words in the blanks.
What is the image of the point (-6,0) after a rotation of 270° counterclockwise
about the origin?
Answer:
(- 1, - 6 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 270°
a point (x, y ) → (y, - x ), thus
(6, - 1 ) → (- 1, - 6 )
Hope this helps!!!!
Triangle similarity and congruence! * Pic included
Answer:
Yes, beacuse the ratios of the corresponding sides are equal.
Step-by-step explanation:
12/36 = 0.33
10/30 = 0.33
15/45 = 0.33
During a scuba dive, Lainey descended to a point 18 feet below the ocean surface. She continued her descent at a rate of 25 feet per minute. Write an inequality you could solve to find the number of minutes she can continue to descend if she does not want to reach a point more than 143 feet below the ocean surface. Use the variable t for time.
Answer:
Inequality representation :
18 + 25t ≤ 143 ;
t = 5
Step-by-step explanation:
Given that:
Initial dive, I = 18 feets
Descent rate, r = 25 feets / minute
Maximum depth reached = 143 feets
Time = t
Inequality representation :
18 + 25t ≤ 143
To solve for t
25t ≤ 143 - 18
25t ≤ 125
Divide both sides by 25
25t / 25 ≤ 125 / 25
t ≤ 5