Step-by-step explanation:
2 equations with 2 variables.
either we use 1 equation to express 1 variable by the other and bring this into the second equation to solve for the second variable.
or we do equation arithmetic (subtract one equation from the other so that one variable disorders in the result, and solve for the remaining variable).
since the factors and constants don't seem to be multiples or share nice factors with each other, I suggest the second way.
7x - 4y = 37
6x + 3y = 51
multiply the first equating by 3, and the second one by 4, and then add both equations :
21x - 12y = 111
24x + 12y = 204
------------------------------
45x + 0 = 315
x = 7
then we use one of the original equations to get y :
7×7 - 4y = 37
49 - 4y = 37
12 = 4y
y = 3
Old MacDonald had a farm with some raspberry bushes. During the summer 5 of the bushes died from the heat. Each bush produces 6 pounds of raspberries in the fall. MacDonald gathered 96 pounds of raspberries that fall. How many bushes did he have before summer?
Answer:
21
Step-by-step explanation:
5 bushes ×6 pounds is =30 pounds
30pounds + 96pounds = 126pounds
126pounds ÷6 = 21bushes
Old Macdonald had 21 bushes before summer
Order the numbers from least to greatest. -1.895, -1.95, -1 , a. 15 -1.895, -1.95 b. -1.95, -1.895, -1 . -1.95,-1,-1.89 d. 1.895, -1.95, -1 WOMALOWAS Please select the best answer from the choices provided B c D
Answer:
Step-by-step explanation:
uhhhh O-1.895, -1.95, -1 , a. 15 -1.895, -1.95 b. 1.95-, -1.895, -1 . -1.95,-1,-1.89 d. 1.895, -1.95
The larger the negative number, the lower the value the number actually is.
Answer: b. -1.95, -1.895, -1
aayan gets 48 out of 60 in his music exam. state the result as a percentage
Answer:
It can be set up as: 48/60
But it can also written as 48 divided by 608. When we put a percent sign we always move the decimal to the right two places. The percentage is 80%
What is the radius and diameter of 11cm
Answer: Radius=11cm Diameter=22cm
Step-by-step explanation:
Solve 2(n+17)/8 = 3/8. Show your work
Answer:
n=-31/2 or -15 1/2
Step-by-step explanation:
reduce the numbers
2*n+17/4=3/8
n+17/4=3/8
8(n+17) =17
8n+136 =12
8n=12-136
8n=-124
Write an equation for the line in point-slope form and then convert it to standard form. through (2, 3) and (3,5)
Answer:
equation of the line: 2x - y = 1
Step-by-step explanation:
Given coordinates: (2, 3) and (3,5)
find slope of the equation:
[tex]\frac{y2-y1}{x2-x1}[/tex]using the formula:
→ [tex]\frac{5-3}{3-2}[/tex]
→ [tex]2\\[/tex] .............this is slope, also refereed as (m) in short form.
using the equation formula:
y - y1 = m ( x - x1 )using the formula:
→ y - 3 = 2 ( x - 2 )
→ y - 3 = 2x - 4
→ y = 2x -4 +3
→ y = 2x - 1
→ -2x + y = -1
→ (-2x + y)/-1 = -1 /-1 [ divide both sides by -1 ]
→ 2x - y = 1 .......final answer in standard form where ( Ax + By = C ) where "A" should be positive and "C" constant on the right hand side.
What is the slope of
A. y - 5 = 3/2 (x + 4)
B. y + 2 = 5x
C. y = -2 (x - 5/8)
Answer:
[tex] - - - - - (a) \: y - 5 = \frac{3}{2} (x + 4) \\ y - 5 = \frac{3}{2} x + \frac{3 \times 4}{2} \\ y - 5 = \frac{3}{2} x + 6 \\ y = \frac{3}{2} + 11 \\ (the \: slope \: is \: \frac{3}{2} ) \\ - - - - - - - - ( b) \: y + 2 = 5x \\ y = 5x - 2 \\ (the \: slope \: is \: 5) \\ - - - - -(c) \: y = - 2(x - \frac{5}{8} ) \\ y = - 2x + \frac{5}{4} \\ (the \: slope \: is \: - 2)[/tex]
Which of the following options represents a logical first step that can be used
1
2
to prove the trigonometric identity
1-sin(x) '1+sin(x) cos? (x)
+
?
O
A.
1+sin(x) +1-sin(x)
1-sin(x)
2
cos? (x)
B.
1
1
1
1-sin(x) 1+sin(x)
1
2
cos(x)
C.
2
1
1-sin(x) cos(x) 1+sin(x)
D.
2
1
1+sin(x) cos'(x) 1-sin(x)
Answer:
A) [tex]\frac{1+sin(x)+1-sin(x)}{1-sin^2(x)}=\frac{2}{cos^2(x)}[/tex]
Step-by-step explanation:
By combining the fractions on the left side into one fraction, we have:
[tex]\frac{1}{1-sin(x)}+\frac{1}{1+sin(x)}=\frac{2}{cos^2(x)}\\ \\\frac{1+sin(x)+1-sin(x)}{(1-sin(x))(1+sin(x))}=\frac{2}{cos^2(x)}\\\\\frac{1+sin(x)+1-sin(x)}{1-sin^2(x)}=\frac{2}{cos^2(x)}[/tex]
Also, given the Pythagorean Identity [tex]sin^2(x)+cos^2(x)=1[/tex], then [tex]cos^2(x)=1-sin^2(x)[/tex].
If Olivia solves every sixth math problem and Nora solves every fifth math problem in a worksheet, which question will be the first that they both solve?
Answer:
the 30th question
Step-by-step explanation:
the LCM of 5 and 6 is 30 meaning that the question that they will both do is the 30th question.
What is the equation of the line that passes through the point (3,5) and has a slope of 2?
Answer:
y=2x-1
Step-by-step explanation:
The equation for a line (slope-intercept form) is:
y=mx+b
m: slope
b: y-intercept
x and y: (x, y) coordinate pair
In this scenario, since we are given the slope and a point on the line, we can solve for the y-intercept:
y=2x+b
5=2(3)+b
5=6+b
Subtract 6 from both sides
b=-1
Therefore the equation of the line is:
y=2x-1
Find the Least Common Multiple (L.C.M) and Highest Common Factor (H.C.F) of 20 and 30.
Answer:
LCM: 60
HCF: 10
Step-by-step explanation:
Listing Multiples
LCM:
Multiples of 20:
20, 40, 60, 80, 100
Multiples of 30:
30, 60, 90, 120
Therefore,
LCM(20, 30) = 60
----------------------------------------
Factorization
HCF:
The factors of 20 are: 1, 2, 4, 5, 10, 20
The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
Then the greatest common factor is 10
How do you solve?
2.5 x 1/4=
here you go, hope this helps
Convert the statement into if-then form, "Squares have right angles."
Answer:
If the shape is a square, then it has right angles.
Answer:
If a shape is a square, then it has right angles.
Step-by-step explanation:
Hi there!
The statement 'squares have right angles' tells us that any and all squares have right angles. Therefore, if a shape is a square, then it has right angles.
I hope this helps!
The area of the isosceles triangle below
Answer:
area:39
Step-by-step explanation:
Help me I need help please please help
Answer:
B is the answer I believe. I could be C tho. B is my final answer.
In 2010, the population of a city was 114,000. From 2010 to 2015, the population grew by 7.7%. From 2015 to 2020, it fell by 6.6%. How much did the population grow from 2010 to 2015, to the nearest 100 people?
Answer:
From 2010 to 2015 the population grew by 8778 (rounded answer 8800)
Step-by-step explanation:
*
It will be lovely if anyone would help?
Answer:
yes
Step-by-step explanation:
I would help. Just give me the question
Sam is taking photos for the yearbook. She takes 140 photos in the morning. In the afternoon, she takes 60% more photos. How many photos does Sam take in the afternoon?.
Answer:
224
Step-by-step explanation:
60% more than 140
help me pls !!
find x and y
y= -3x=-19
5x+8y=0
Graph
2x + y = -1
3x + 2y = -6
Answer:
graph below
Step-by-step explanation:
Tell me about a time you had to solve a complex problem. How did you break down the problem into smaller units to create a solution?.
Answer:
Look at the big picture. Make sure you understand what the end product is supposed to look like.
Examine the parts of the task. Figure out step-by-step what you need to do because it’s not going to happen through magic.
Think about the logical order of completing the pieces. What should you do first, second, third, etc.?
Step-by-step explanation:
Ya basically that!
please mark brainliest i need 2 more :(
Alexa put $850 into savings account that earns 0.75% annual simple interest. If Alexa doesn’t make any deposits or withdrawals for 18 months, how much money will be in her account?
Principal= 850
rate = 0.75%
period = 18months
interest = 850x0.75%x18
= 850x0.0075x18
= 114.75
amount after 18 months
= 850+114.75 = $964.75
Write a simplified polynomial expression in standard form to represent the area of the rectangle below: A picture of a rectangle is shown with one side labeled as 2 x minus 2 and another side labeled as x plus 4. 2x2 3x − 20 2x2 13x − 1 2x2 13x − 20 2x2 3x − 1.
The Simplified polynomial expression in the standard form which represents the area of the given rectangle is,
[tex]2x^2+6x-8[/tex]
What is area of rectangle?The area of rectangle is the product of its length and width. It can be given as,
[tex]A=a\times b[/tex]
Here, (a) is the length of the rectangle and (b) is the width of the rectangle.
Given information-
One side of the rectangle is labeled as 2x-2.
Another side of the rectangle is labeled as x+4.
The image of the rectangle is attached below.
Let (l) is the length of the rectangle and (w) is the width of the rectangle.
In the below image, the length of the rectangle is,
[tex]l=4x+2[/tex]
The width of the rectangle is,
[tex]w=2x-2[/tex]
The area of the rectangle is the product of its length and width. Thus the area of the given rectangle is,
[tex]A=l\times w\\[/tex]
Put the values in the above expression as,
[tex]A=(x+4)\times(2x-2)\\A=2x^2+8x-2x-8\\A=2x^2+6x-8[/tex]
Thus the area of rectangle in simplified polynomial expression in the standard form is,
[tex]2x^2+6x-8[/tex]
Learn more about the area of rectangle here;
https://brainly.com/question/25292087
helpo helpo I'm gonna ie
are those the answer choise?
Step-by-step explanation:
Answer:
this is extremely simple. the sasha one is right.
Step-by-step explanation:
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:))
422801,15÷101
long division
Answer:
4186.15
Step-by-step explanation:
Answer:
418,615 or 4,186.15
Step-by-step explanation:i cant tell if it is a desimal or a full number if desimal 4,186.15 if not desimal 418,615
please I need the answers now
What is the justification for step 3 in the solution process?
0.8a − 0.1a = a − 2.5
Step 1: 0.7a = a − 2.5
Step 2: -0.3a = -2.5
Step 3: a = 8.3
Answer:
value of a=8.333
Step-by-step explanation:
we take equation two and hence we divide both side by -0.3
hence
-2.5/-0.3
=8.333
Answer:
is letter A .the division property of equality
Step-by-step explanation:
Hope it help you!!
Find x, then find the measurement of both angles.
Answer:
x=30
Step-by-step explanation:
2x+54=4x-6[corresponding angles]
2x-4x=-6-54
-2x=-60
x=-60÷-2
x=30
Someone solve for a and b pls
Answer:
a) rise 5, run 5, slope 1
b) rise 10, run 5, slope 2
Step-by-step explanation:
The rise is the vertical difference between the points. It is the length of the vertical side of the triangle you have drawn. You can determine that length by counting grid squares or by finding the difference of the y-coordinates of the points.
The run is the horizontal difference between the points. It is the length of the horizontal side of the triangle you have drawn. You can determine that length by counting grid squares or by finding the difference of the x-coordinates of the points.
a)rise = 5; run = 5. (counting grid squares)
slope = rise/run = 5/5 = 1
__
b)rise = 10; run = 5. (taking coordinate differences: 5-(-5) = 10; 4-(-1) = 5)
slope = rise/run = 10/5 = 2
can someone please help me asap, thank youu!!!
Answer:
2 or (3-^7)²
Step-by-step explanation:
Hope it helped u
Step-by-step explanation:
(a + b) (a - b) = a² - b² (identity)
3² - (√7)²
9 - 7
2 ans.
hope this helps you !