Answer:
21 degrees
Step-by-step explanation:
Triangles have a total angle of 180 degrees.
This makes our equation:
3x+3+4x+135=180
Subtract 135 from both sides and combine like terms
7x + 3 = 45
Subtract 3 from both sides
7x = 42
Divide both sides by 7
x = 6
Plugging the number in:
3x + 3 =
3(6) + 3 =
21
2. Mrs. Morrison asked the class to generate an expression equivalent to 80. Lucy used the prime
factorization of 80 to form an equivalent expression. Which best represents the expression Lucy wrote?
33+55
you would do 33+55
i need help finding the angles
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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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
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]
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!
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)
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
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??
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
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
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
Solve the system by substitution.
3x + 2y = 15
y = 6x
Answer:
the answer should be (1,6)
Answer:
1
Step-by-step explanation:
3x +2 (6x) =15
3x +12x =15
15x =15
x = 15/15
x=1
The product of 50 and the number of employees
The expression of the mathematical statement given as the product of 50 and the number of employees is 50x
How to represent the mathematical statement as an expression?The mathematical statement is given as
The product of 50 and the number of employees
The product of numbers means multiplication
So, we have
The product of 50 and the number of employees = 50 * the number of employees
Let number of employees be x
So, we have
The product of 50 and the number of employees = 50 * x
Evaluate the product
The product of 50 and the number of employees = 50x
Hence, the expression of the mathematical statement given as the product of 50 and the number of employees is 50x
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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, ...
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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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
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
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.
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
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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help me please! i dont get this at all
Answer:
21/28 = 3/4
Step-by-step explanation:
What is the solution of 6 = x-2/4?
Answer: x=13/2
Step-by-step explanation: hope this helps!
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
HELP HELP HELP PLEASE ASAP!!!
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! :)
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:
I need help please help me
PLEASE HELP WILL GIVE BRAINLIST