Step-by-step explanation:
2. 10x - 3 + 2x - 5 and 4(3x - 2)
10x - 3 + 2x - 5
Upon simplifying;
10x + 2x - 3 - 5
12x - 8
4(3x - 2)
12x - 8
Both expressions are equivalent - Yes!
3. 3y + 3 and 9(y + 1/3)
9(y + 1/3)
upon simplifying;
9y + 9 (1/3)
9y + 3
3y + 3
Both expressions are not equivalent - No!
4. 6(3x + 1) and 9x + 6 + 9x
6(3x + 1)
upon simplifying;
6(3x) + 6 (1)
18x + 6
9x + 6 + 9x
Upon simplifying;
9x + 9x + 6
18x + 6
Both expressions are equivalent - Yes!
On a shelf there are 60 novels and 20 poetry books. What is the probability that person A chooses a novel and walks away with it and then person B walks up shortly after and picks another novel?
2.) Mackenzie uses 1/5 of a cup of sugar for 1/3 of a gallon of lemonade.
How many cups of sugar would she need for a whole gallon of lemonade?*
Answer:
3/5 cups of sugar
Step-by-step explanation:
If 1/5 of a cup of sugar is used for 1/3 of a gallon of lemonade, 1/5 of a cup will be used in each of the overall three thirds of a gallon.
Answer:
3/5 cup of sugar good luck
Hello someone please help me
Answer:
C = {-5,2,5} answer
Step-by-step explanation:
ccccccc
Write the equation of the line that passes through the points (-8,-1) and (5,-7). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line
Answer:
The answer to the question provided is:
[tex]y + 1 = - \frac{6}{13} (x + 8)[/tex]
Step-by-step explanation:
❃Incase you forgot what the point-slope formula is ☟
[tex]y - y_1 = m(x - x_1)[/tex]
❃Incase you also forgot, what the slope formula is ☟
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
➊ First: We are going to be solving for the slope.
[tex]m = \frac{ - 7 - ( - 1)}{5 - ( - 8)} = \frac{ - 6}{ \: 13} = - \frac{6}{13} [/tex]
➋Second: Plug in.
[tex]y + 1 = - \frac{6}{13} (x + 8)[/tex]
Please help me this is due today
Answer:
1. 15 (A)
2. 12 (G)
Step-by-step explanation:
1. We can make an equation out of this...
3x+3=48
x is the age of Geoff which is what we are trying to find out
We have to add 3 to both sides of the equation
3x+3=48
-3 -3
________
we end up with 3x=45
we then have to divide 3 by both sides because its the opposite of
multipling
3x=45
_____
3
we get x=15
2. We can write a problem statement
(2 x 9)-6=?
multiply 2 and 9 FIRST
18-6=?
your answer is 12
Your Welcome! Have a great rest of your day! :)
The number of miles that 10 students have to travel to school is given. 4.6, 2.1, 1.7, 6.1, 0.9, 4.3, 2.0, 6.1, 8.4, 0.3 What is the median number of miles that these 10 students need to travel to school? 2.1 miles 3.2 miles 4.3 miles 6.1 miles
Answer:
The median is 3.2 miles
Step-by-step explanation:
2 + yx; use x = 6, and y = 5
Answer:
answer: 32
Step-by-step explanation:
2+5*6
=32
Liam and Harper are racing on a track. Liam runs 4 miles per hour and gets a 0.25 mile head start. Harper runs 0.5 miles per hour fastet than Lism. If harper and Liam run the same distance, how many hours, x, do they run?
Answer:
30 minutes = 0.5 hour
Step-by-step explanation:
0.5 miles faster than Liam:
4x + 0.25 = 4.5x
0.25 = 4.5x - 4x
0.25 = 0.5x
x = 0.25 / 0.5
x = 0.5 hours
x = 30 minutes
What are the coordinates of A after a dilation of 2/3 centered at the origin? Question 11 options:
A' =(−3/4, −3/2)
A' = (4/3, 2/3)
A' = (2, 1)
A' =(2/3, 2/3)
Answer:
The image of A(2, 1) after dilation by a scale factor of 2/3 will be: A'(4/3, 2/3) .
Step-by-step explanation:
Given
Point A (2, 1)We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.
If the scale factor > 1, the image is enlarged If the scale factor is between 0 and 1, it gets shrunk If the scale factor = 1, the object and the image are congruentRule to calculate the dilation by a scale factor 2/3 centered at the origin
P(x, y) → P'(2/3x, 2/3y)
Here, P'(2/3, 2/3y) is the image of P(x, y).
It means the coordinates of the image can be determined by multiplying the coordinates of the original point by 2/3.Thus,
A(2, 1) → A'(2/3(2), 2/3(1)) = A'(4/3, 2/3)
Therefore, the image of A(2, 1) after dilation by a scale factor of 2/3 will be: A'(4/3, 2/3) .
What is the equation of a line that is parallel to 2x +3y = 3 and passes through the point (3, -4) ?
Answer:
2x + 3y = -6
Step-by-step explanation:
The equation of the new line will be identical to that of the given line except that the constant term will differ.
Start with the given 2x + 3y = 3 and replace x with 3 and y with -4. We get:
2(3) + 3(-4) = C, and C = 6 - 12 = -6
The equation of the new line is therefore 2x + 3y = -6
What can you say about the two figures
A.The two figures are congruent but not similar.
B.The two figures are not similar or congruent.
C.The two figures are similar and congruent.
D.The two figures are similar but not congruent.
please solve the logarithmic equation and show your work. log3(2x-5)=2
PLEASE HELP
A circular garden will have grass planted around a triangular region of flowers as shown in the diagram below. How many square feet will be covered in grass? Round to the nearest square foot.
1,858 ft 2
9,888 ft 2
1,291 ft 2
1,966 ft 2
Answer:
Option (4)
Step-by-step explanation:
From the picture attached,
ΔABC is a right triangle.
Since, inscribed angle in a semicircle is always a right angle, Hypotenuse AC will be the diameter of the circle.
Length of diameter AC = 58 ft
Radius of the circle = [tex]\frac{58}{2}=29[/tex] ft
Area of the circular garden = πr² [r = radius of the circle]
= π(29)²
= 2642.08 ft²
Area of the right triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(27)(50)[/tex]
= 675 ft²
Area of the of the region covered with grass = Area of the circular garden - Area of the right triangle
= 2642.08 - 675
= 1967.08 ft²
≈ 1966 [Nearest value]
Option (4) will be the answer.
Is the function an exponential function?
y=(-2)^x
Answer:Yes
Step-by-step explanation:
the normal exponential function is ab^x, where a represent the growth( sometimes you don't need this part), b is average rate of growth and x is the number of times we exponate. [tex]-2^{x}[/tex] is a exponetital function because it includes the b and x part. The a part is someetimes used but not always.
A function is a relationship between inputs where each input is related to exactly one output.
An exponential function is a function in the form
y = [tex]a^{x}[/tex]
Where a = constant and x = variable.
y = [tex](-2)^{x}[/tex] is an exponential function.
Where -2 is a constant and x is a variable.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
y = [tex](-2)^{x}[/tex]
An exponential function is a function in the form
y = [tex]a^{x}[/tex]
Where a = constant and x = variable.
Example:
y = [tex]3^{x}[/tex]
y = [tex]5^{x}[/tex]
We see that,
y = [tex](-2)^{x}[/tex]
-2 is a constant
x is a variable
Thus,
y = [tex](-2)^{x}[/tex] is an exponential function.
Where -2 is a constant and x is a variable.
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A toy company is releasing a new catapult for water balloons that launches them at 9.8 meters per second from a stand 0.6 meters tall. The function f(x) = −4.9x2 + 9.8x + 0.6 describes the path of the water balloon, where x is the amount of time since the launch. While the mathematical range is y ≤ 5.5, how does the reasonable range compare?
9514 1404 393
Answer:
reasonable range: 0 ≤ y ≤ 5.5
Step-by-step explanation:
Unless the balloons are being launched from a building or the edge of a cliff, we generally expect f(x) ≥ 0. This limits the "reasonable range" to ...
0 ≤ y ≤ 5.5
The bike store marks up the wholesale cost of all of the bikes they sell by 30%.
Andre wants to buy a bike that has a price tag of $125. The wholesale cost of this bike was $87.50.
Answer:
Suppose that the wholesale of a bike is A (A is the 100% in this case). If we have an increase of 30% for the sale price, we have the new price of:
Price = A + (30%/100%)A = A + 0.3*A = (1.3)*A
Then if we know that the price tag of the bike is $125, then we have:
$125 = (1.3)*A
$125/1.3 = A = $96.15
The wholesale cost of the bike is $96.15
Answer:
1. Andre wants to buy a bike that has a price tag of $125. What was the wholesale cost of this bike? $ 96.15
2. If the bike is discounted by 20%, how much will Andre pay (before tax)?
$ 100
I hope this helped <33 !
GUYS I NEED THIS ANSWERED PLEASE ASAP
What is the y intercept of the following equation 3y-5x=-15
It has to look like this
(0,0)
Answer:
(0,-5)
Step-by-step explanation:
This is the y intercept I graphed it
Answer:
(0,-5)
Step-by-step explanation:
3y-5x=-15
Add 5x on both sides
3y=5x-15
Divide each side by 3
y=5/3x-5
y=mx+b
b is the y-intercept
b=-5
Therefore (0,-5) is the answer
Is (4,3) a solution of the graphed inequality?
please help me with this
Answer:
its A :)
Step-by-step explanation:
Pls help!!
Pythagorean Theorem
Find the missing side of the triangle! Write down the missing side and what type of triangle it is!
Answer:
1.) isosceles triangle x=11.3
2.) scalene triangle x=14.1
3.) isosceles triangle x=6.02
4.) isosceles triangle x=15
5.) scalene triangle x=12
Step-by-step explanation:
Urgent please help..
Answer:
y=[tex]6\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\frac{6}{sin45} =\frac{x}{sin45} \\x=6\\\\y^{2}=6^{2} +6^{2} \\y=\sqrt{72} \\y=6\sqrt{2}[/tex]
Jose rides his bike to school every day. It takes him 11.7 minutes to ride from home to school. When he rides from school to home, it takes him 2.2 more minutes. How many minutes does Jose ride his bike every day?
Answer:
25.6 minutes
Step-by-step explanation: add 11.7 and 2.2 then add 11.7 again
Can someone help me on this question?
Answer:
x = 19.6
Step-by-step explanation:
By applying cosine rule in ΔBCD,
cos(30)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{BC}{BD}[/tex]
[tex]\frac{\sqrt{3}}{2}=\frac{BC}{16}[/tex]
BC = [tex]8\sqrt{3}[/tex]
Now, by applying sine rule in ΔBAC,
sin(45)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{\sqrt{2}}=\frac{AB}{BC}[/tex]
[tex]\frac{1}{\sqrt{2}}=\frac{x}{8\sqrt{3}}[/tex]
x = [tex]8\sqrt{6}[/tex]
x = 19.59
x ≈ 19.6
please help me! here’s a picture
Answer:
I would think the answer is 28?
im not really that sure
Part A: What is the ratio of the number of students receiving a C and the number of students receiving an A? * 1:4 6:1 4:1 3:1 Part B: Complete the statement: For every student receiving a D, ______ students received a B. * Part C: What is the ratio of the number of students receiving a C and the number of students receiving an D? 1:4 6:1 4:1 3:1
Answer:
a. 4 : 1
b. 2 students
c. 3 : 1
Step-by-step explanation:
a. There were 12 students who got a C and 3 students who got As. The ratio is therefore:
12 : 3
Take it to the lowest form by dividing both sides by 3:
= 4 : 1
b. There were 4 students with a D grade and 8 with a B. The ratio is:
= 4 : 8
Taken to the lowest form that would be:
= 1 : 2
This means that for every student receiving a D, 2 students received an A.
c. 12 students received a C and 4 students received a D. That ratio is therefore:
= 12 : 4
Take to the lowest form by dividing both sides by 4:
= 3 : 1
Please, Need Help ASAP!!
Answer:
I think it's A I'm not sure
anyone good at solving rational zeros
Answer:
I am what's your question?
Step-by-step explanation:
if there are 93 calories in 3/4 cups how many calories are in 1 cup
Answer:
124
Step-by-step explanation:
Cross Multiply
(93x4)/3
Aubree invested $16,000 in an account paying an interest rate of 5.6% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $45,600?
Answer:
t=18.7
Step-by-step explanation:
After 19.2 year the account reach $45,600.
What is Interest?The cost of borrowing money is called interest, and it is typically stated as a percentage, such as an annual percentage rate (APR). Lenders may charge interest to borrowers for using their funds, or borrowers may charge interest to lenders for using their funds.
We have,
P =$16, 000
R= 5.6%
Future value = $45, 600.
Now, using
16,000 (1 + 5.6%[tex])^x[/tex] = 45,600
(1 + 5.6%[tex])^x[/tex] = 2.85
Taking log on both side we get
x log (1.056) = log (2.85)
x= 19.2
Thus, the time taken is 19.2 years.
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Thomas is drawing a map of his city's walking trails. On the map, 5 cm is equal to 2 miles. If a trail is 22.5 cm on the map, how long is the trail in real-life?
Answer:
9 miles
Step-by-step explanation:
Given that :
Given that:
On map:
5cm = 2 miles
If a map trail = 22.5cm
Length of trail in real life :
(22.5 cm / 5cm) * 2miles
4.5 * 2 miles = 9 miles
The trail is 9 miles in real life