How do I solve this equation:
-5(n-1)=7(n+3)
Answer:
-3/4
Step-by-step explanation:
The First step is to distribute the 7 in the second part of parentheses.
-5+5-7n=21
-5-7n=21+5
Then collect the terms
-12n=16
Lastly distribute both sides by -12
And the answer is -3/4
PLEASE HELP! A survey was done that asked people to indicate whether they preferred pool swimming or ocean swimming. The results of the survey are shown in the two-way table.
Chantal is making a relative frequency table from this data.
What operation should Chantal perform to determine the relative frequency of a person over 30 years old who prefers ocean swimming?
Divide 239 by 609.
Subtract 185 from 609, then divide by 609.
Divide 185 by 609.
Add 239 to 609, then divide by 609.
Answer:
C
Step-by-step explanation:
I think the answer is C,
since to find the relative frequency, you divide the specific frequency
(in this case people over 30 who prefer ocean swimming, 185 people)
by the # of values total
(all values recorded, which in this case is the 609 peoples' surveys)
so, divide 185 by 609, which is C
Find the missing side. Be sure to show all of your work. Round to the nearest tenth
if necessary
Answer:
x=3.9 approximately
Step-by-step explanation:
Using Pythagorean theorem:
[tex]x^{2} + (5x)^{2} = 20^{2}[/tex]
[tex]x^{2} + 25x^{2} = 400[/tex]
26x^2 =400
x^2 = 15.3846
x=3.9
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityGeometry[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a legb is another legc is the hypotenuseApplicationStep 1: DefineLet's define what the problem gives us:
We are given a right triangle, indicated by the square box inside the triangle, with side lengths 5x and x and a hypotenuse of 20.We can set these measurements equal to our variables defined above in our Pythagorean Theorem equation:
a = 5xb = xc = 20Step 2: WorkNow, we can substitute our variables and solve for x, which will help us find the side lengths as well:
[Pythagorean Theorem] Substitute in variables:∴ our x approximately equals 3.9.
Now we can use our value of x to solve for the missing triangle lengths:
Length of 5x:
Substitute in x:∴ this particular side length has a length of 19.5.
Length of x:
Substitute in x:∴ this particular side length has a length of 3.9.
Answer∴ the side lengths of this particular triangle are 19.5 and 3.9, respective to their variables 5x and x.
___
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___
Topic: Geometry
Unit: Triangles
What is the result when the number 83 is increased by 7%? Round your answer to the nearest tenth.
Answer:
90
Step-by-step explanation:
multiply 83 by .07 equals 5
then add 83 + 5= 88 rounded to nearest tenth = 90
Triangle ABC has measures a = 2, b = 2, and mzA = 30°.
What is the measure of angle B?
15°
30°
45°
60°
Answer:
30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
If the lengths of a and b are equal, the degrees of the angles should also be equal.
What is the area of parallelogram ABCD?
7
А
6
B
5
13 square units
0 14 square units
15 squtare units
16 square units
4
3
2.
D
1
С
1
2
3
4
5
6
7
x
Answer:
13 square units
Step-by-step explanation:
The area of the parallelogram is 13 square units
The area of a parallelogram is the product of the height and the base of the parallelogram
Assume the parallelogram has the following properties
Base = 6.5 units
Height = 2 units
The area of the parallelogram is calculated as:
Area = Base * Height
So, we have:
Area = 6.5 units * 2 units
Area = 13 square units
Hence, the area of the parallelogram is 13 square units
Read more about areas at:
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All rectangles are parallelograms. True or False.
Answer:
I agree
Step-by-step explanation:
Some rectangles aren't parallelograms
Use the general rotation matrix and the unit circle or inverse trigonometric functions to find the angles of rotation for the following matrices.
B=[-0.3090 0.9511]
0.9511 -0.3090
72
108
144
Answer:
108
Step-by-step explanation:
Hope this helps! :)
Answer:
108
Step-by-step explanation:
Edge 2020
Factor the perfect square trinomial x2 - 12x + 36.
Answer:
(x - 6)(x - 6)
Step-by-step explanation:
-6 + -6 = -12
-6 * -6 = 36
meaning -6 in in both
if you want to find x
x = 6
Answer:
6
Step-by-step explanation:
x2-12x+36=0
find a two numbers that add to -12 and multiply to 36
-6 and -6
(x-6)(x-6)=0
x-6=0 x-6=0
x=6 x=6
Solve for X
Show work!
Help!
Answer:
x=19
Step-by-step explanation:
The 2 angles are inside of a right angle. We know this because of the little square in the corner. Therefore, they are complementary angles. When they are added together, they must equal 90 degrees.
3x+11+22=90
Combine like terms by adding 11 and 22
3x+33=90
We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
33 is being added to 3x. The opposite of addition is subtraction. Subtract 33 from both sides.
3x+33-33=90-33
3x=90-33
3x=57
x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.
3x/3=57/3
x=57/3
x=19
Answer:
X=19
Step-by-step explanation:
3x+11+22=90
3x+33=90
-33 -33
——————-
3x= 57
—— ———
3 3
———————
x= 19
y= 3x+7
y = -2x-3
What would be the x and y for that solution
Answer:
So if we are solving for x and y. First we need to subtract both equations. We take each equation and put in parenthesis and subtract.
y-y = (3x+7)-(-2x-3) =
0 = 3x+7+2x+3
0 = 5x+10
-10 = 5x
-2 = x.
Now we need to solve for y.
Plug it in for the first equation. -2*3+7 = -6+7 = 1
Test if we are correct and try in the second equation.
-2*-2-3 = 4-3 = 1
x = -2
y = 1
What is the percent of increase for a population that changed from 25000 to 30000
The percent of increase for a population that changed from 25,000 to 30,000 will be 20%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
The population changed from 25,000 to 30,000. Then the percentage is calculated as,
P = [(30,000 - 25,000) / 25,000] x 100
P = (5,000 / 25,000) x 100
P = 0.20 x 100
P = 20%
The percent of increase for a population that changed from 25,000 to 30,000 will be 20%.
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Which of the following statements correctly illustrate the addition property of equality?
Check all of the boxes that apply.
If a = b, then a + c = b + c.
If x = y, then x + 2 = y- 2.
If w + 2 = 7, then w + 2-2 = 7- 2.
Answer: The first one and the third one
Step-by-step explanation:
The first one because a+c would equal the same as b+c due to the fact that a and b are equal. The second one would be because when solving for w+2=7 then you would subtract 2 from both sides and get 5 and the second one states after being simplified that w=5
Anybody know this pls help
Answer:
1. (-1/4,0)(1.5,0)
2.(-1/2,2)(6/4,2)
Step-by-step explanation:
just locate the numbers on the graph
Find the volume of this solid
Answer:
[tex]997.66ft^3[/tex]
Step-by-step explanation:
[tex]V=\frac{3\sqrt{3} }{2} a^2h\\=\frac{3*\sqrt{3} }{2} *4^2*24\\=997.66ft^3[/tex]
plz plz will mark bianleast
Reflect point B across the x-axis.
What are the coordinates of point B'?
(2, 2)
(2, –2)
(–2, 2)
(–2, –2)
Answer:
(2, -2)
Step-by-step explanation:
Go along the x line to under point B (2) and then go up the y line to across form point B (2) then reflect it so (2, -2)
Answer:
(2,-2)
Step-by-step explanation:
when you reflect from b you two down to the x axis and the do it again. you will get your coordinates
17. Five time as many girls as boys went to the dance. The total of 120 students went to
the dance.
a. If b represents the number of boys and g represents the number of girls, use
the numbers, variables, and symbols shown below to construct a system of
equations to model this situation. Some of the numbers, variables, and
operations will be used more than once and some will not be used at all.
b
g
+
10
3
4
1
5
120
2.
Answer:
[tex]b+g=120[/tex]
[tex]b+5b=120[/tex]
Step-by-step explanation:
let b be the number of boys went to the dance
let g be the number of girls went to the dance
Total number of students went to the dance are 120.
Which means the boys and girls collectively are 120 which forms the following equation.
[tex]b+g=120[/tex]
The condition has been given that the number of girls are 5 times more than the number of boys. It can be taken as that:
[tex]g=5b\\[/tex]
Insert it in the previous equation to get
[tex]b+5b=120[/tex]
Which of these values could be the slope of the line? Select
two options.
-2
-8/5
0
7/4
3
Answer:7/4 and 3
Step-by-step explanation:
Just took the test
Answer:
I think that the answer is D E
Select all the correct answers. Aisle 2 of a furniture store stocks 4-legged chairs, 4-legged tables, and 3-legged stools. If there are t tables, c chairs, and s stools, which expressions show the total number of furniture legs in aisle 2?
Answer: T = 4c + 4t + 3s
Step-by-step explanation:
Stocks contains:
4-legged chairs
4-legged tables
3-legged stools
So, 1 chair has legs = 4
So, c chairs has legs = 4c
1 table has legs = 4
So, t tables has legs = 4t
1 stool has legs = 3
So, s stools has legs = 3s
Let T denotes the total no. of legs
So, the total number of furniture legs in aisle 2 :
T = 4c + 4t + 3s
Express the following rate as a unit rate.
224 miles in 4 hours
50 miles per hour
64 miles per hour
56 miles per hour
44 miles per hour
Answer:
224/4
this will give you 56 miles per hour, or c.
Step-by-step explanation:
Hope this helps!
which inequality is represented by this graph
Answer:
im pretty sure the second option is correct
Step-by-step explanation:
the open circle means the is greater than or equal to
since the arrow is pointing to the right that means that x is greater than
Which shows the fractions in order from least to greatest A.5/9 B.3/4 C.2/3 D.3/5
Answer:
A, D, C, B.
5/9, 3/5, 2/3, 3/4.
Step-by-step explanation:
Covert to decimals:
5/9 = 0.555...
3/4 = 0.75
2/3 = 0.666...
3/5 = 0.6
So it is 5/9, 3/5, 2/3, 3/4.
Which function shows a fabric with a price of $1.25 per square yard?
Answer: n=1.25x
Step-by-step explanation:
X represent the number of yards and n represent the total amount
The function which shows the fabric with a price of $1.25 per square yard will be y = 1.25x where x represents square yard and y represent the price of fabric.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function.
Given that the
Price of fabric = $1.25/ yard
Let's say the price of fabric = y
Square yard = x
Then y = 1.25x so it will be the correct answer.
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Which algebraic expression represents the oference of 54 and a number?
2
Answer:
84
Step-by-step explanation:
Identify the parts of the expression. Then write a word expression for the numerical or algebraic expression.
Please Help!!!! Due in 30 minutes!
Answer:
17.3
Step-by-step explanation:
1.5×6+8.3
=9.0+8.3
=17.3
hope it helps
What is the factored form of x2 - 9x + 20?
Answer:
(x - 4) (x - 5)
Step-by-step explanation:
Factor the following:
x^2 - 9 x + 20
The factors of 20 that sum to -9 are -4 and -5. So, x^2 - 9 x + 20 = (x - 4) (x - 5):
Answer: (x - 4) (x - 5)
You spin the spinner below once. What is the P(getting a number less than 5)?
Answer:
3/4
Step-by-step explanation:
Other than 5 there are 3 other numbers that could be chosen so its 3/4 chances
The required probability of getting a number less than 5 is 3/4
The correct option is (B)
What is Probability?The mathematical possibility of any event is called probability
The probability of impossible event is zero and sure event is one
The probability can be calculated as
Probability = [tex]\frac{favourable}{total}[/tex]
How to find probability?here we have given total event or sample is
S = {2, 3, 4, 5}
n(S) = 4
The required probability of getting a number less than 5
Favorable event E = {2, 3, 4}
n(E) = 3
Therefore the
P(E) = 3/4
Hence the correct option is (B)
This is the conclusion to the answer.
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A survey of 125 households was done to investigate whether households have laptops, tablets, or
both. The results are shown in the Venn diagram below. If a household was selected at random, which
of the following would be the probability the household would have a laptop given that it does not
have a tablet?
1) 0.484
2) 0.355
3) 0.326
4) 0.172
Answer:
3) 0.326
Step-by-step explanation:
Total Number of surveyed households =125
We want to determine the probability that a randomly selected household would have a laptop given that it does not have a tablet.
Written in Probability notation: P(Laptop|No Tablet)
[tex]P(Laptop|No Tablet)=\dfrac{P(L\cap T')}{P(T')} \\=\dfrac{31/125}{95/125}\\=\dfrac{31}{95}\\\\=0.326[/tex]
The correct option is C,
Please answerrrrrrr !!!! please
a triangle has one side of length 12 and another of length 7 which of the following are possible lengths of the third side
Answer:
Step-by-step explanation:
The first rule is that 2 of the sides must be bigger than the third.
4 and 7 makes 11 which is not bigger than 12, so A is not an answer.
5 + 7 = 12 That does not exceed 12, so the second one is not an answer
12 12 and 7 works perfectly. It makes an isosceles triangle. Any two of the three sides added together is larger than the third side.
If you put 19 20 or 21 into what you think might make a triangle, you would be incorrect. 12 and 7 makes 19. 19 is too large because 12 and 7 will lie flat on 19. No triangle works.
So only 12 works.
In short, 5<x<19 will create a triangle. Anything outside that inequality will not.
Answer:
7 and 12
Step-by-step explanation:
using triangle inequality theorem
if triangle has side a,b, and c, then all of them will trus if fulfill this inequality
a+b > c
a+c > b
b+c > a
now take a = 7 and b = 12
so the number c which can make triangle with a and b is
7 and 12
