Answer:
x = 2
Step-by-step explanation:
5 ( 6x - 4 ) = 20 + 4 ( 3 + x )
30x - 20 = 20 + 12 + 4x
30x - 20 = 32 + 4x
26x = 52
x = 2
What’s the next number in the pattern, and what is the formula to find the next 2 numbers in the pattern?
7, 28, 63, 112..
Answer: 7, 28, 63, 112, 175, 252, ...
Step-by-step explanation:
7, 28, 63, 112, ...
7*1, 7*4, 7*9, 7*16, ...
7*1², 7*2², 7*3^2, 7*4², ...
Hence, 7n², n=1, 2, 3, 4, ...
7*5²=
7*5*5=
175
7*6²=
7*6*6=
252
Thus,
7, 28, 63, 112, 175, 252, ...
Avi's pet hamster Chubby loves to run in his hamster wheel. During one "race", Avi counts 100 rotations of the wheel. She wants to know how far Chubby ran, so she measures the diameter of the wheel and finds that it is 20 cm. How far did Chubby run? Round your answer to the nearest cm
Answer:
Chubby ran a distance of 6,283 m
Step-by-step explanation:
The length of one run is simply equal to the circumference of the circle
Mathematically, C = pi * d
C = 22/7 * 20 = 62.83 cm
So if one rotation is a distance of 62.83 cm, then 100 rotations will be a distance of;
62.83 * 100 = 6,283 m
help me please! i dont get this at all
Answer:
21/28 = 3/4
Step-by-step explanation:
Larry buys a wallet that costs $20.00. He pays 8% sales
tax.
How much does he pay for the wallet with tax?
O A. $21.60
B. $26.00
O c. $20.80
O D. $28.00
Answer: The answer is $21.60
Step-by-step explanation:
Answer:
A. $21.60
Step-by-step explanation:
which of the following lines would be perpendicular to a line who’s equation is
y= -1/2x-5 and passes through the point (-10,7)
I need help please help me
Jen dug 42 dandelions out of the lawn and was paid 5 cents per plant. The preius satuarday she dug 60 plants and the satuarday before she dug 33 dandelions. On average how many plants did she dig each week.
Answer:
On average, she digs 45 plants per week
Step-by-step explanation:
Here, we have the number of plants dug in every saturday for three weeks
we now want to get the average of the three weeks
We proceed to add up all what has been dug in the three weeks and divide by 3
Mathematically, that would be;
(42 + 60 + 33)/3 = 135/3 = 45
what is 2x - y = -42
Answer:
A linear equation
Step-by-step explanation:
It just is
Answer:
Step-by-step explanation:
2x + -1y = -42
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'y' to each side of the equation.
2x + -1y + y = -42 + y
Combine like terms: -1y + y = 0
2x + 0 = -42 + y
2x = -42 + y
Divide each side by '2'.
x = -21 + 0.5y
Simplifying
x = -21 + 0.5y
hope helps you
Write the standard form of the that passes through the given points. your work in your final answer Type your answer in the box provided or use the upload option to submit your solution (4, 7) and (0, 7)
what’s is this ?
a20
b22
c27
d21
Answer:
it would be c because you add them
Answer:
C
Step-by-step explanation:
straight guess
I don’t understand number 1 idk if I’m right
Answer:
yeah ur right
Step-by-step explanation:
Answer: 718.38 units³
Step-by-step explanation:
Formula for volume of a cone:
V = πr²•h/3
You have the following information given:
r = 7
h = 14
Plug your values in:
V = π(7)²•(14)/3
V = 718.38 units³
BUT since your instructions say to enter only the number, your answer is just 718.38 with no units after it.
Hope this helps! :)
A pet store just decided to sell fish, so the
manager purchased 50 of the fish tanks shown
above to hold the fish. The staff need to fill
the bottom two inches of each tank with sand,
which comes in bags of 40 pounds. If 1 cubic
inch of sand weighs about 2 ounces, how
many bags of sand does the pet store need to
buy? (There are 16 ounces in 1 pound.)
A) 45
68
B)
C) 84
D) 125
The angles of a quadrilateral are in the ratio 3:4:5:6
What is the difference between the largest and smallest angle?
(show working out)
Answer:
[tex]60[/tex]
Step-by-step explanation:
[tex]Let\ the\ constant\ of\ proportionality\ between\ the\ angles\ be\ x\\Hence,\\\angle 1=3x\\\angle 2=4x\\\angle 3=5x\\\angle 4=6x\\Hence,\\We\ know\ through\ the\ Angle\ Sum\ Property\ Of\ A\ Quadrilateral\ that\ \\'The\ Sum\ Of\ All\ The\ Interior\ Angles\ Of\ A\ Quadrilateral\ is\ 360'.\\Hence,\\\angle 1+\angle 2+\angle 3+\angle4=360\\Hence,\\3x+4x+5x+6x=360\\7x+11x=360\\18x=360\\x=360/18\\x=20\\Now,\\From\ the\ observations\ we\ know\ that,\\[/tex]
[tex]\angle4\ with\ a\ measure\ of\ 6x\ is\ the\ largest\ angle.\\While, \angle1\ with\ a\ measure\ of\ 3x\ is\ the\ smallest.\\Hence,\\6x-3x\\=3x\\As\ x=20,\\3x=3*20=60[/tex]
Shelly is making on apple pie, She needs 74 CUP
of sugar for her cian How many cups of sugar will she need
if she makes 7 pies
Answer:
74x7=518
so she need 518 cup of sugars
use the fact that 2 1/2 divide 1/8 =20 to find 2 1/2 divide 5/8
Answer:
4
Step-by-step explanation:
Given that [tex]2\frac 1 2 \div \frac 1 8 =20[/tex]
[tex]\Rightarrow \frac 5 2 \div \frac 1 8 =20[/tex]
[tex]\Rightarrow \frac 5 2 \times 8 1 =20 \cdots(i)[/tex]
Now, [tex]2\frac 1 2 \div \frac 5 8[/tex] [tex]= \frac 5 2 \div \frac 5 8[/tex][tex]=\frac 5 2 \times \frac 8 5[/tex]
This can be written as
[tex]\frac 5 2 \times \frac 8 5=\frac 5 2 \times \left( \frac 8 1 \times \frac 1 5\right)[/tex] [as [tex]\frac 8 5=\frac 8 1 \times \frac 1 5[/tex]]
[tex]=\left(\frac 5 2 \times \frac 8 1 \right)\times \frac 1 5[/tex]
[tex]=20 \times \frac 1 5[/tex] [ by using equation (i)]
=4
Hence, [tex]2\frac 1 2 \div \frac 5 8=4[/tex]
Can you help me with my question??
Write an equation for the nth term of the arithmetic sequence -4, 1, 6, 11, ... then find a50.
An equation is an=__n-__
a50=__
Answer:
241
Step-by-step explanation:
a(n) = a +(n-1)d
a=-4
d=1+5=6-1=11-6=5
a(n) = -4+(n-1)5
a(n) = -9+5n
a(55) = -9+5(50)
=241
hope this helps
PLEASE HELP
The morning announcements said that two out of every seven sixth-grade students in the school have an overdue library book. Jasmine said, “That would mean 24 of us have overdue books!” Grace argued, “No way. That is way too high.”
How can you determine who is right?
Answer:
We need to know how many students are in sixth grade and compare the real number with the 84 sixth graders that Jasmine claims to be.
Step-by-step explanation:
We would need to know how many students are in sixth grade to determine who is right. If two students out of seven have an overdue library book and grace claims that 24 of them are overdue by that means, what we would need to do is divide the allegedly 24 students between 2. Now we have 12 pairs of students that have overdue books. For every pair of students in sixth grade that have overdue books, seven students don’t have overdue books, so now we multiply 12 pairs of students with overdue books times 7 students who don’t have overdue books. By Jasmine calculation then, sixth grade have 84 students.
If sixth grade have indeed 84 students, Jasmine is right. If there are not 84 students in sixth grade, she is wrong. Grace is right if there are fewer students than 84 in sixth grade.
PLEASE HELP WILL GIVE BRAINLIST
What are two other ways to name Z
The given set ℤ can be written as {..., -3, -2, -1, 0, 1, 2, 3, ...}.
The given set ℤ can be written as { x | x is an integer, -∞ < x < ∞}.
Disclaimer:
I assume that ℤ in the question indicates the set of all integers.
Sets are the basis of mathematics. One can write sets in different ways and form smaller sets of elements from a larger set.
Any set can be written in two forms.
Roster formSet-builder notationRoster form:
Roster form is one way to write sets. The roster form lists the elements of a set within braces, { }. Let's see a few examples for the roster form.
We write the set containing the elements 5, 6, 7, and 8 as {5, 6, 7, 8}We write the set of multiples of 5 as {5, 10, 15, 20, 25, 30,...}.So, the given set ℤ can be written as {..., -3, -2, -1, 0, 1, 2, 3, ...}
Set-builder notation:
Set-builder notation is another way to write sets. Set-builder notation describes by enumerating its elements or stating the properties that its elements must satisfy. Let's see a few examples for the set-builder notation.
We write the set containing the elements 5, 6, 7, and 8 as { x | x is a natural number, 4 < x < 9}We can write the set of multiples of 5 as { x | x is a multiple of 5}. This is read as "the set of all real numbers x, such that x is a multiple of 5".So, the given set ℤ can be written as { x | x is an integer, -∞ < x < ∞}. This is read as "the set of all real numbers x, such that x is an integer".
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Help Easy math problems !!!!!
Answer:
so ill tell you how to get the answer, okay?
Step-by-step explanation:
well, it's a right triangle so you use the formula for a rectangle and cut everything in half and what you have at the end is your answer. hope this helps somewhat. :-)
Answer:
the answer is 4√3
i need help finding the angles
What is the solution of 6 = x-2/4?
Answer: x=13/2
Step-by-step explanation: hope this helps!
HELP HELP HELP PLEASE ASAP!!!
When checking lightbulbs, a salesclerk found that 15% of the 680 he checked were defective. How many of the lightbulbs were found defective?
Answer: 102 lightbulbs were found by the detective.
Step-by-step explanation:
Answer:
102 lightbulbs.
Step-by-step explanation:
To get the answer you have to read into the problem this is important on things like this. These are the key words you need to look for, (Checked), (Defective) as well as the percentages and numbers so 15% and 680 are important as well. In the problem is says the "a salesclerk found that 15% of 680 lightbulbs were defective" then it ask "how many lightbulbs were found to be defective" because he said that 15% of the 680 were defective you have to find out what number makes up that 15% of the defective bulbs, In order to do this you 1.) turn 15% into a decimal making it .15
2.) You multiply your decimal by your total which is 680 so it would like this .15 x 680 this would = 120
so your answer is 120.
this is better explanation NOTE THIS IS A EXAMPLE THIS IS NOT THE ANSWER PROBLEM!!!
How to calculate percentage of a number. Use the percentage formula: P% * X = Y
Example: What is 10% of 150?
Convert the problem to an equation using the percentage formula: P% * X = Y
P is 10%, X is 150, so the equation is 10% * 150 = Y
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10
Substitute 0.10 for 10% in the equation: 10% * 150 = Y becomes 0.10 * 150 = Y
Do the math: 0.10 * 150 = 15
Y = 15
So 10% of 150 is 15
Double check your answer with the original question: What is 10% of 150? Multiply 0.10 * 150 = 15
Write the expression as a number in scientific notation.
quantity 7 times 10 cubed end quantity times quantity 5.4 times 10 to the fourth power end quantity all divided by quantity 9 times 10 squared
4.2 x 1010
3.4 x 1010
4.2 x 105
3.4 x 105
The expression as a number in scientific notation is 4.2 * 10^5
How to write the expression as a number in scientific notation?The expression is given as:
quantity 7 times 10 cubed end quantity times quantity 5.4 times 10 to the fourth power end quantity all divided by quantity 9 times 10 squared
Rewrite properly as:
[7 * 10^3 * 5.4 * 10^4]/[9 * 10^2]
Evaluate the product of 7 and 5.4
So, we have:
[37.8* 10^3 * 10^4]/[9 * 10^2]
Evaluate the product of 10^3 and 10^4
So, we have:
[37.8* 10^7]/[9 * 10^2]
Evaluate the quotient of 37.8 and 9
So, we have:
[4.2 * 10^7]/[10^2]
Evaluate the quotient of 10^7 and 10^2
So, we have:
4.2 * 10^5
Hence, the expression as a number in scientific notation is 4.2 * 10^5
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I REALLY NEED HELP FAST PLEASE !!
Answer:
C: √768
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Plss help me as soon as possible i will give you lots of points
Answer:
Step-by-step explanation:
75x + -300 = 25x + 200
Reorder the terms:
-300 + 75x = 25x + 200
Reorder the terms:
-300 + 75x = 200 + 25x
Solving
-300 + 75x = 200 + 25x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-25x' to each side of the equation.
-300 + 75x + -25x = 200 + 25x + -25x
Combine like terms: 75x + -25x = 50x
-300 + 50x = 200 + 25x + -25x
Combine like terms: 25x + -25x = 0
-300 + 50x = 200 + 0
-300 + 50x = 200
Add '300' to each side of the equation.
-300 + 300 + 50x = 200 + 300
Combine like terms: -300 + 300 = 0
0 + 50x = 200 + 300
50x = 200 + 300
Combine like terms: 200 + 300 = 500
50x = 500
Divide each side by '50'.
x = 10
Simplifying
x = 10
When she was younger, Mary had to look up at a 68 degree angle to see into her father's eyes whenever she was standing 15 inches away. How high above the flat ground were her father's eyes if Mary's eyes were 32 inches above the ground?
Answer:
69 INCHES
Step-by-step explanation:
Given that :
Height of father's eye above the flat ground :
Kindly check attached picture for diagram:
To obtain the value of h ; we can use Pythagoras rule ;
Tan θ = opposite / Adjacent
Tan 48 = h / 15
15 tan 48 = h
37.126302 = h
h = 37.
Hence, height of father's above the flat ground :
h + 32 = 37 + 32= 69 inches
What is the value of x in this triangle?
Enter your answer in the box.
The value of x in the given triangle is 61
From the question, we are to calculate the value of x in the given triangle.
In a given triangle ABC, with interior angles A, B, and C, the sum of the angles is 180°.
That is,
∠A + ∠B + ∠C = 180°
Thus,
In the given triangle,
37° + 82° + x° = 180° (Sum of angles in a triangle)
Solve for x in the in the equation above
37° + 82° + x° = 180°
Add the numbers
119° + x° = 180°=
Subtract 119° form both sides
119° - 119° + x° = 180° - 119°
x° = 61°
Hence, the value of x in the given diagram is 61
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Find the product.
1 3/5 x -3 3/4
Hi there!
Your answer is -6.
Hope this helps! Have a great day! :)
Answer:
-6
Step-by-step explanation:
(1 3/5)(-3 3/4) (Multiply)
-6