Answer:
A System of Equations has two or more equations in one or more variables Many Variables So a System of Equations could have many equations and many variables.
Step-by-step explanation:
A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases. One solution. A system of linear equations has one solution when the graphs intersect at a point.
Sophia scored 33 points in a basketball game. She scored four
more two-point baskets than three-point baskets.
Write a system of equations in standard form that models this
situation.
How many three-point baskets did Sophia make?
Answer:
Let's try to set up some equations. We'll say a is the number of 1-point shots, b the number of 2-point shots, and c the number of 3-point shots.
A basketball player scored 33 points in one game.
So a + 2b + 3c = 33
He scored four more 2-point baskets than he did 3-point baskets.
So b = c + 4
The number of free-throws equaled the sum of the number of 2-point and 3-point shots made.
So a = b + c
and since b = c + 4,
a = (c + 4) + c = 2c + 4
Substituting in a + 2b + 3c = 33,
(2c + 4) + 2 * (c + 4) + 3c = 33
which simplifies to
7c + 12 = 33
So c = 3, b = 7, a = 10
Answer:
The system of equations in standard form that models this situation are:
2x+3y=33
x-y=4
Write an expression for the perimeter in simplest form.
A) 3x + 3
B) 3x3 + 18
C) 3x + 9
D) 3x + 5
Hi whats up like my drawing
Answer:
noice, i could never draw like that, it's really good
Which statements are true regarding triangle LMN? Check all that apply.
Answer:A,C,E
Step-by-step explanation:I took the quiz
Answer:
its right ACE
Step-by-step explanation:
Please help me w this an explain how you got it!.
Answer:
Vertex → (2, 4)
Step-by-step explanation:
Quadratic equation has been given as,
y = -x² + 4x
We rewrite this equation in the form of a function as,
f(x) = - x² + 4x
By comparing this equation with the standard quadratic equation,
y = ax² + bx + c
a = -1 and b = 4
Vertex of the parabola represented by this equation is given by [tex][-\frac{b}{2a}, f(\frac{-b}{2a})][/tex]
x coordinate = [tex]-\frac{4}{2(-1)}[/tex]
= 2
y-coordinate = f(2)
= - (2)² + 4(2)
= -4 + 8
= 4
Therefore, vertex of the given function is (2, 4)
What is the area of the semi circle if the diameter is 10 cm
Answer:
39.25 cm
Step-by-step explanation:
The formula for a circle is pi x radius x radius.
So to get the radius, you multiply 10 and 1/2. You should get 5. Then you multiply 5 by 5. You should get 25.
Then you multiply 3.14 and 25. You should get 78.5.
The last step is to divide 2 by 78.5. You should get 39.25
Answer:
39.25 cm
Step-by-step explanation:
A = 3.14 x r^2 / 2
if the diameter is 10 then the radius is 5
A = 3.14 x 5^2 / 2
A = 3.14 x 25 / 2
A = 78.5 / 2
A = 39.25
PLEASE HELP FAST
Solve for X
Answer:
x = 26
Step-by-step explanation:
[tex]\frac{12}{x-2} = \frac{13}{x}[/tex]
Cross-multiply => 12x = 13x - 26
Isolate x => -x = -26
Divide by -1 => x = 26
Please help I need it fast
Answer:
J
Step-by-step explanation:
-11=4(-3)+1
-3 =4(-1)+1
1 =4(0)+1
9 =4(2)+1
13=4(3)+1
21=4(5)+1
I need help please and thank you.
Answer:
AC is 7 feet Because it is just a foot above AB
Help help help help help
Answer:
B
Step-by-step explanation:
Remark
If we draw a line from F to T, we can make a couple of statements.
Call the center of the circle O
1. <FTE = 1/2 the central angle of <FOE. The size of <FOE is the same size as the minor arc. Since The minor arc = 60 degrees, then FTE = 30 degrees.
2. <GTF = 1/2 78 by the same reasoning used above. GTF = 39 because that is 1/2 of 78.
So the answer to the size of <T = 39 + 30 = 69 which is B
There is a much simpler way of doing this.
The central angle of the two arcs is 78 + 60 = 138
The <GTE is 1/2 the central angle
<GTE = 1/2 * 138 = 69
The base of a parallelogram is 6 ft more than the height. If the area of the parallelogram is 55 ft^2, what are the measures of the base and the height?
Answer:
Height = 5 ft
Base = 11 ft
Step-by-step explanation:
The area of a parallelogram is
Base × Height
From the question:
The base of a parallelogram is 6 ft more than the height.
Base = 6ft + h
If the area of the parallelogram is 55 ft^2,
what are the measures of the base and the height?
This is calculated as:
55 ft² =( 6 + h ) × h
55 = 6h + h²
h² + 6h - 55 = 0
h² +5h - 11h - 55 = 0
h(h + 5) - 11(h + 5) = 0
(h + 5)(h - 11) = 0
h - 11 = 0
height = 5ft
Base = 6 + h = 6 + 5
Base = 11ft
SOMEONE PLEASE HELP ME!!!.
Answer:
B
I used Jedi Powers and anyone else who answers is a sith lord
can any one help me with this?
Answer:
180, 360, 540
Step-by-step explanation:
6 time 30 equal 180
12 time 30 equal 360
18 time equal 540
Multiply 30 with every number
lmkk if u know this, i need sum help
use cos to get an equation and then solve.
pls help
The bird flew 7.2 kilometers. How many miles did it fly?
1 mi = 1.6 km
12 mi
2.8mi
4.5 mi
5.1 mi
Select the correct answer. What is the solution of
[tex] \frac{5}{2}x - 7 = \frac{3}{4}x + 14[/tex]
A. x = -6
B. x = 6
C. x = 8
D. x = 12
Answer:
Option D
Step-by-step explanation:
[tex] \frac{5x}{2} - 7 = \frac{3x}{4} + 14[/tex]
[tex] = > \frac{5x}{2} - \frac{3x}{4} = 14 + 7[/tex]
[tex] = > \frac{7x}{4} = 21[/tex]
[tex] = > x = \frac{21 \times 4}{7} = 12[/tex]
A large bag of chocolate chips contains 11 1 4 cups. A cookie recipe needs 1 1 2 cups of chocolate chips. How many times can the cookie recipe be made? .
Answer: 7 1/2
Step-by-step explanation:
From the question, we are informed that a large bag of chocolate chips contains 11 1/4 cups and that a cookie recipe needs 1 1/2 cups of chocolate chips.
The number of times that the cookie recipe can be made will be:
= 11 1/4 ÷ 1 1/2
= 45/4 ÷ 3/2
= 45/4 × 2/3
= 7 1/2
The recipe can be made 7 1/2 times
Iris takes her clothes to the laundromat every 6 days, and
Eddie takes his clothes to the laundromat every 8 days? They
both go to the laundromat today.
How many days pass until the next time they take their clothes to
the laundromat on the same day again
23 days would pass by and they would both go to the laundromat on the 24th day.
what ratiois equivalent to the ratio 7 : 350
Answer:
14: 700
Step-by-step explanation:
First you must ad or multiply each part of your ratio multiple times.
This was the next number in the ratio outlook.
I multiplied 7x2
Then 350x2
which got me the ratio 14:700
Write the equation of the line in slope-intercept from:
1. Point:(2,3) slope: 4
2. Point:(1,4) slope:-2
3. Point:(-2,5) point:(0,3)
4. Point:(7,0) point:(3,-3)
If you do this, you’ll be the greatest person in the world!
Answer:
1. 4x - 5
2. -2x + 6
3. x + 3
4. 4/3x - 5
Step-by-step explanation:
I used a calculator and my math skills :)
A soccer field is 100 meters long. What could be its length in yards? 33.3 91 100 109 Explain your thinking.
PLS HELP
What is the answer to the proportion you set up in the last problem? Type ONLY the number in the box
Answer:
4
Step-by-step explanation:
z = [tex]\frac{6}{15}[/tex] × 10
= 4
Find the holes
[tex]f(x)=\frac{x}{x+2}[/tex]
Answer:
x = - 2Step-by-step explanation:
The "holes" are the x-es where function doesn't exist.
One must not divide by 0, so given function doesn't exis if the denominator is equal 0
x + 2 = 0
x = - 2
I need help with solving for y
Answer:
y = [tex]-\frac{5}{3}[/tex] x + 5
Step-by-step explanation:
Solve an equation for a variable mean to leave that variable on one side of that equation by itself.
5x + 3y = 15
5x + 3y - 5x = 15 - 5x
3y = - 5x + 15
[tex]\frac{3y}{3}[/tex] = [tex]\frac{-5x}{3}[/tex] + [tex]\frac{15}{3}[/tex]
y = [tex]-\frac{5}{3}[/tex] x + 5
could someone please help me with this
Answer: i think it would be D
Step-by-step explanation:
Can you please help me I am struggling so much. what does n equal in this equation?
-6 > n/15
Answer:
n < − 90
Step-by-step explanation:
hope this helps and have a great day!
An eccentric math teacher told his class that he would assign one problem on the first day of school, two
problems on the second day, four problems on the third day, eight problems on the fourth day, and so on. At
this rate, how many problems would he assign on the tenth day? Find a rule that can be used to determine the
number of problems assigned on the nth day.
N is the day it is, so since we are trying to find the number of problems for the 10th day, n will equal 10. The quantity of problems is doubling each day, so you will create this rule:
2^n - 1
Now, to plug in the numbers:
2^10 - 1
Then we simplify:
2^9
And now we solve this equation:
2^9 = 512
A concession stand at a baseball game sells hot dogs and boxes of popcorn. Justin buys a total of 9 snacks. The number of popcorn boxes he buys is three less than twice as many hot dogs. Which system of equations models this situation if he bought h hot dogs and p boxes of popcorn?
Answer:
}p=3−2h
][
}h=9−p
Step-by-step explanation:
i don't know the steps but i know the answer.
The equation that models the situation is h + p = 9 and 2h - p = 3
EquationLet h represent the number of hot dog snack and p represent the number of popcorn snack.
Justin buys a total of 9 snacks. Hence:
h + p = 9 (1)the popcorn boxes he buys is three less than twice as many hot dogs. Hence:
p = 2h - 32h - p = 3 (2)The equation that models the situation is h + p = 9 and 2h - p = 3
Find out more on equation at: https://brainly.com/question/13763238
The number 24 is divisible by... select all that apply.
15 points
2
3
4
5
6
9
10
Answer:
2,3,4, and 6
Step-by-step explanation:
All of these answers are factors of 24. 2 times 12 is 24, 3 times 8 is 24, and 4 times 6 is 24. Therefore, 24 is divisible by these 4 numbers.
The graph shows how a motorboat travels around a lake. What does the graph most likely show?
The speed of the boat increases steadily for 10 minutes and travels at a constant speed after 10 minutes.
Option D is the correct answer.
What is speed?Speed is the ratio of distance and time.
It shows how fast an object is moving at a given time.
We have,
The x-axis can be assumed as 10 minutes for each unit.
Now,
From the graph, we see that the speed is steadily increasing as the time increases from x= 0 to x = 10.
From x = 10, the line on the graph is horizontal this means, the speed is constant.
Thus,
The speed of the boat increases steadily for 10 minutes and travels at a constant speed.
Learn more about speed here:
https://brainly.com/question/7359669
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