Answer:
y = 3x + 6
Step-by-step explanation:
To make the equation we'll use the form y = mx + b, where m is the slope and b is the y-intercept. When a line is parallel to another, both lines have the same slope, so the slope of the equation will be 3. Now that we know the slope, we can input the point (6, -3) into the equation to solve for the y-intercept:
y = mx + b
y = 3x + b
-3 = 3(-3) + b
-3 = -9 + b
Add 9 to both sides to isolate the b:
-3 + 9 = -9 + 9 + b
6 = b
The y-intercept is 6. Let's put that into our equation:
y = 3x + 6
Now we have our answer :)
divide 40 into the ratio 9:1
Answer:
36 : 4
Step-by-step explanation:
40 divided into ratio 9:1 is like 40 / (9 + 1) multiplied to both sides of 9:1
40 / (9 + 1) = 4, and if you multiply both sides by 4, you get 36 : 4
Answer:
I think the answer is 36
Step-by-step explanation:
You add 9 and 1 to get 10 and then you divide 40 by 10 and get 4 and then you multiple 9 and 4 to get 36.
Pls Help I need this in soon and am stuck, am giving out 25 points
Answer:
12
Step-by-step explanation:
Bo is buying candy by the pound. For every 10 pounds, he pays $23. What is the cost per pound?
Answer:
1.2
Step-by-step explanation:
The cost per pound is $2.3.
Given that Bo is buying candy by the pound. For every 10 pounds, he pays $23.
We need to find the cost per pound,
So, we see that,
For 10 pounds he is paying $23,
We need to find the unit rate, so divide both by 10,
10/10 pound = $23/10
1 pound = $2.3
Hence the cost per pound is $2.3.
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If m<2 = (2x)° and m<5 = (x+6)°, find the value
of ‘x’ and the m<4.
Answer:
x = 58
[tex] m\angle 4 = 116\degree [/tex]
Step-by-step explanation:
[tex] m\angle 2 = m\angle 6..... (1)\\(alternate \: \angle s) \\\\
m\angle 5 + m\angle 6 = 180\degree \\(linear \: pair\: \angle s) \\\\
\therefore m\angle 6 = 180\degree-m\angle 5..... (2)\\\\[/tex]
From equations (1) & (2)
[tex] m\angle 2 =180\degree-m\angle 5\\\\
\therefore (2x)\degree =180\degree-(x+6)\degree \\\\
\therefore (2x)\degree +(x+6)\degree =180\degree\\\\
\therefore (2x+x+6) \degree =180\degree\\\\
\therefore (3x+6) \degree =180\degree\\\\
3x + 6 = 180\\\\
3x = 180-6\\\\
3x = 174\\\\
x = \frac{174}{3} \\\\
\huge \purple {\boxed {x = 58}} \\\\
\because m\angle 4 = m\angle 2\\(corresponding \: \angle s) \\\\
\therefore m\angle 4 = (2x)\degree \\\\
\therefore m\angle 4 = (2\times 58)\degree \\\\
\huge \orange {\boxed {\therefore m\angle 4 = 116\degree}} [/tex]
The three angles of a triangle measure 2x – 6, 3x + 5, and 2x + 20. What is the measure of the smallest angle in degrees?
Answer:
Step-Smallest angle = 40
by-step explanation:
Angle sum property:Sum of all three angles of triangle is 180
2x - 6 + 3x + 5 + 2x + 20 = 180 {Combine like terms}
2x + 3x + 2x - 6 + 5 + 20 = 180
7x + 19 = 180 {Subtract 19 from both sides}
7x = 180 - 19
7x = 161 {Divide both sides by 7}
x = 161/7
x = 23
2x - 6 = 2*23 - 6 = 46 - 6 = 40
3x + 5 = 3*23 + 5 = 69 + 5 = 74
2x + 20 = 2*23 + 20 = 46 + 20 = 66
What is the slope of the line that passes through the points (1,-6) and (-8,9)? Write your answer in simplest form
Slope is the change in y over the change in x
Slope = (9 - -6)/( -8 -1)
Slope = 15/-9
Slope = -15/9
Simlipy:
Slope = -5/3
Answer:
Step-by-step explanation:
Slop = (y2 - y1)/(x2-x1)
= {9 -(-6)}/{(-8)-1}
= 15/-9
= -1.66
look at the picture and fill the table
A football team scored 3 touchdowns, 3 extra points, and 4 field goals. If each
touchdown is worth 6 points, each extra point is 1 point, and each field goal is 3
points, what would the expression look like once you replace the letters for their
values?
Answer:
33
Step-by-step explanation:
Express 4,102/7 in a decimal notation
Answer: To do that you divide the top to the bottom so 4,102 divided by 7 which is 586
Answer: 586
Step-by-step explanation:
The decimal notation is 586.0
What is Decimal?A group of numbers between integers on a number line are known as decimals. They are merely an additional mathematical representation of fractions. Decimals allow us to express measurable quantities like length, weight, distance, money, etc. with greater accuracy. Integers, also known as whole numbers, are represented to the left of the decimal point, while decimal fractions are represented to the right of the decimal point. The next place, which is (1/10)th or tenth place value, is (1/10) times smaller if we move immediately from the first place.
Given: 4,102/7
Now to write the above fraction into decimal we have to divide the fraction
as
4102/7= 586
As, the divides the fractions completely.
Hence, the decimal notation is 586.0
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an old woman sold 38 roses on street corner A and 45 on strete corner b all at the same price. if she sold $124.50 in total, what was the price of each rose?
Answer: $1.50 per rose
Step-by-step explanation: You add 38 and 45, because you want to find the total of the roses she sold. 38 + 45 = 83. Then you have to divide the total price by how many roses she sold. So, 124.50 / 83 = 1.5. So, it's $1.50 per rose.
Does this table represent a function ? Why or why not
How do you solve a system of equations?
Example:
Answer:
Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for y: ...
Step 2: Substitute that equation into the other equation, and solve for x. ...
Step 3: Substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.
Which angle in AXYZ has the largest measure?
6
9
X
8
#
Choice
A.
ZX
B.
LY
C.
ZZ
D.
Cannot be determined
Answer: Angle X
Reason: For any triangle, the largest angle is always opposite the longest side.
∠X is the largest measure on the triangle XYZ.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The angle opposite to the largest side is the largest measure.
So,
XY = 6 and opposite angle = ∠Z
YZ = 9 and opposite angle = ∠X
XZ = 8 and opposite angle = ∠Y
We see that,
YZ > XZ > XY
So,
∠X > ∠Y > ∠Z
Thus,
∠X is the largest measure on the triangle XYZ.
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any help would be nice
Answer:
D
Step-by-step explanation:
Answer:
x > -7 hope this helps
Step-by-step explanation:
hello i need ur help
isabella thx so much for ur hep :D if u could keep it up tha would be great
Answer:its either 1 or 2
Step-by-step explanation:
Answer:
It would be the second one :) I think
Step-by-step explanation:
Asking again for your help! I really don't understand!
Answer: y≤4x+3 and y≤-3x-5
Step-by-step explanation:
The slope of the first line is 4. The slope of (-1,-1) and (0,3) is 4. And the line passes through 3, so the y-intercept is 3.
The slope of the second line is 3. The slope of (-3,4) and (-1,-2) is -3. And the line passes through -5, so the y-intercept of the second line is -5
Find the 43rd term of each sequence 27,24,21,18, ...
Answer:
hmmmmmmmmmm thats a tuff one
Answer:
-99
Step-by-step explanation:
First, let's find an equation to use to make things easier.
So, as we can see, the numbers go down 3 every time and we start at 27, so, the first term is 27, that means that we need to find the number before 27, so we add 3 to 27 to get 30.
We can put the equation using y = mx + b, since that is the most appropriate formula to use.
y = -3x + 30
y = -3(1) + 30
y = -3 + 30
y = 27
y = -3x + 30
y = -3(2) + 30
y = -6 + 30
y = 24
So, this is a good equation to use. Now, we substitute 43 as x
y = -3x + 30
y = -3(43) + 30
y = -129 + 30
y = -99
For the following questions use f(x) = 2x + 5
Solve f(x) = 11
Answer:
2
Step-by-step explanation:
Please help with picture below
9514 1404 393
Answer:
1.5 cm
Step-by-step explanation:
The midpoint of OB is 9/2 = 4.5 cm from O
The midpoint of OA is 12/2 = 6.0 cm from O
Since O is not on AB, we must have B on OA, so the distance between midpoints is ...
6 cm -4.5 cm = 1.5 cm . . . . distance between midpoints
A rectangular garden has an area of 84 square feet. If the width of the park is 7 feet, what is the length?
Answer:
Length = 12
Step-by-step explanation:
L × W = Area
84 / 7 = 12
12 × 7 = 84
The required length of the given rectangular garden is given as 12 feet.
Given that,
A rectangular garden has an area of 84 square feet. If the width of the park is 7 feet, what is length is to be determined.
The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.
here,
Let the measure of the length of the rectangular garden be l,
Since,
Area of the rectangle = length × width
Area of the rectangle = l × 7
l × 7 = 84
l = 84 / 7
l = 12 feet
Thus, the required length of the given rectangular garden is given as 12 feet.
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Leo purchased items that
cost $41.20, $13.90, $5.50, and
$26.30. If his items total
more than $80, the store will
give him a 50% discount
Does Leo qualify for the
discount? If so, what
is bis cost before tax?
Answer:
He does qualify for the discount, his total will be $43.45
Step-by-step explanation:
(8m-3n)^2 - (4m+3n)^2
Answer:
[tex]48m^2-72mn[/tex]
Step-by-step explanation:
We need to solve [tex](8m-3n)^2 - (4m+3n)^2[/tex]
We know that,
[tex](a+b)^2=a^2+b^2+2ab\\\\(a-b)^2=a^2+b^2-2ab[/tex]
Using the above formula,
[tex](8m-3n)^2 - (4m+3n)^2=(8m)^2+(3n)^2-2(8m)(3n)-[(4m)^2+(3n)^2+2(4m)(3n)]\\\\=64m^2+9n^2-48mn-(16m^2+9n^2+24mn)\\\\=64m^2+9n^2-48mn-16m^2-9n^2-24mn\\\\=48m^2-48mn-24mn\\\\=48m^2-72mn[/tex]
So, the final answer is [tex]48m^2-72mn[/tex].
what is the x for -3(x-8) = 39
Answer:
x = -5
Step-by-step explanation:
-3x + 24 = 39
-3x = 15
x = -5
................................
220.4% as a decimal?
Answer: 2.204
Step-by-step explanation:
Which product is the better deal 60 oz for $7.20 or 75 oz for $8.25
The better deal
Would be the lowest cost per ounce.
Divide total cost by total ounces and compare them.
7.20/60 = 0.12 per ounce.
8.25/75 = 0.11 per ounce.
75 ounces for 8.25 is the better deal
How do I write log3 5 using natural logarithms?
Answer:
[tex]\displaystyle \log_3 5=\frac{\ln 5}{\ln 3}[/tex]
Step-by-step explanation:
We want to write:
[tex]\log_3 5[/tex]
Using natural logarithms.
We can use the following property of logarithms:
[tex]\displaystyle \log_b a=\frac{\log_c a}{\log_c b}[/tex]
Hence, if we let c be equal to e:
[tex]\displaystyle \log_b a= \frac{\log _e a}{\log _e b} = \frac{\ln a}{\ln b}[/tex]
Then by letting a = 5 and b = 3:
[tex]\displaystyle \log_3 5=\frac{\ln 5}{\ln 3}[/tex]
Can y’all help me I don’t understand this
Answer:
Step-by-step explanation:
She read 30 pages in 25 minutes.
Rise over run is slope. Find the slope. That is the rate of change.
the y coordinate is (0,0)
Martina drove 737 miles in 11 hours. At the same rate, how long would it take her to drive 335 miles?
Answer:
5 hours
Step-by-step explanation:
737mi / 11hr = 67mph
335mi / 67mph = 5hr
==================================================
Here are two ways to solve
Method 1
First determine her speed if she goes 737 miles in 11 hours.
distance = rate*time
d = r*t
737 = r*11
737 = 11r
11r = 737
r = 737/11
r = 67
Her speed is 67 mph. Use this to find how long it would take if she drove 335 miles.
d = r*t
d/r = t
t = d/r
t = 335/67
t = 5 hours is the time it takes to drive 335 miles assuming Martina drives at the same speed.
---------------------------------------------------------------------
Method 2
We can use a proportion to solve
(distance 1)/(time 1) = (distance 2)/(time 2)
(737 miles)/(11 hours) = (335 miles)/(x hours)
737/11 = 335/x
737*x = 335*11 .... cross multiply
737x = 3685
x = 3685/737 ..... divide both sides by 737
x = 5
We get the same answer of 5 hours.
i want to give 2o points
and i will mark brainiest
1+1+1
Answer:
3
Step-by-step explanation:
I just is manhghgfthfff
EL CERO EN LA MULTIPLICACIÓN ES...
EL CERO EN LA SUMA ALGEBRAICA ES..
Answer:
The multiplication property of zero is about multiplying 0. If you multiply a number by zero, the product will be zero.
Step-by-step explanation: