Answer:
x = 30
Step-by-step explanation:
The interior angles of a triangle must always add up to 180.
2x + 2x + 3x - 30 = 180
Add 30 to both sides to seperate variables.
2x + 2x + 3x = 210
Combine like terms.
7x = 210
Divide by 7 to isolate x.
x = 30
which word describes a statement that has been accepted, tested, and supported by multiple sets of evidence? theory theory hypothesis hypothesis procedure procedure data
Data defines a claim that has been verified, examined, and backed up by numerous pieces of evidence.
What do you mean by data?
Data is information that has been transformed into a format that is useful for transfer or processing in computing. Information that has been converted into binary digital form for usage with contemporary computers and communication channels is referred to as data.
As the volume of data being collected and stored increases, so do the units used to measure it. For instance, the relatively new concept of a "brontobyte" refers to a unit of data storage that is 10 to the 27th power of bytes.
File formats can be used to store data, such as ISAM and VSAM in mainframe systems. Another file format for storing, converting, and processing data is comma-separated values.
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PLEASE ANSWER ASAP
What is the solution to this equation? 9x + 5 = 86 Enter your answer in the box. x =
Answer:x=9
Step-by-step explanation:
Answer: x = 9
Step-by-step explanation:
9x + 5 = 86
9x + 5 - 5 = 86 - 5 (you subtract 5 from both sides to isolate the 9x)
9x = 81
9x/9 = 81/9 (to get the value of x, you divide both sides by 9)
x = 9
10°
55°
x х
Solve for y in the figure above.
5(x -1) - 3x = -19
solve for x
Answer:
-7
Step-by-step explanation:
5x-5-3x=-19
2x-5=-19
2x=-14
x=-7
Does anybody know how to do that
Answer:
how to do what? there is no question attached
Step-by-step explanation:
Use the distance formula to find the distance between the points (3, 6) and (8, -1). Round your answer to the nearest tenth place. Use the distance formula to find the distance between the points (14, -2) and (8, -9). Round your answer to the nearest tenth place. Use the distance formula to find the distance between the points (-5, -7) and (-14, -12) Round your answer to the nearest tenth place. Use the distance formula to find the distance between the points (10, 5) and (4, 9)Round your answer to the nearest tenth place. Use the distance formula to find the distance between the points (5, 13) and (9, -21). Round your answer to the nearest tenth place.
PLEASE HELP ASAP!! a
Note: It seems you have asked the exact same type of questions again and again. So, I will solve the first question. The rest of the questions is the carbon copy of the same concept and solution method. Hopefully, it would get your concept clear.
Answer:
The distance between the points (3, 6) and (8, -1)
[tex]d=8.6[/tex]Step-by-step explanation:
Given the points
(3, 6)(8, -1)Finding the distance between the points (3, 6) and (8, -1)
(x₁, y₁) = (3, 6)
(x₂, y₂) = (8, -1)
[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]=\sqrt{\left(8-3\right)^2+\left(-1-6\right)^2}[/tex]
[tex]=\sqrt{5^2+7^2}[/tex]
[tex]=\sqrt{25+49}[/tex]
[tex]=\sqrt{74}[/tex]
[tex]d=8.6[/tex]
Thus, the distance between the points (3, 6) and (8, -1)
[tex]d=8.6[/tex]NOTE: All the remaning questions have the same method of solution.
The average growth for height
of a boy from age 6 to 12 is 2.5
inches per year. John is 6 years
old and is 41 inches tall. Model
Johns height with an equation.
The modelled John's height with an equation is x = 41 - 6 × 2.5.
Given that, the average growth for the height of a boy from age 6 to 12 is 2.5 inches per year. John is 6 years old and is 41 inches tall.
We need to model John's height with an equation.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let John's initial height be x.
Now, an equation = x = 41 - 6 × 2.5
Therefore, the modelled John's height with an equation is x = 41 - 6 × 2.5.
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4/7 Divided by 15 in a improper fraction
Answer:
4/7 divided by 15 is 4/105. so no its not an improper fraction
Step-by-step explanation:
what the answer giving brainliest !!!!!!
Answer:
1/2 * 5/4
Step-by-step explanation:
when dividing fractions, you change the symbol to a multiplication sign and use the reciprocal of the second fraction
Answer:
C. 1/2 * 5/4
Step-by-step explanation:
Reciprocals
4.
The quotient of 24 and d
Answer:
[tex]\frac{24}{d}[/tex]
Step-by-step explanation:
the quotient is the result of dividing 24 by d , that is
quotient = [tex]\frac{24}{d}[/tex]
can you help me please? ( I didn't mean to pick a answer)
Answer:
#3:8n-4
Step-by-step explanation:
combine like terms
3n+n=4n
-7+5=-2
4n-2
multiply that by 2 to get the perimeter, which is 8n-4
Is the equation proportional?
y = 2x + 6
Answer:
Yes
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
when you carry the 6 to y=6y then you divide the number by two
what is x2−4x−45=0 and what did you do
complete the table for values y= 2x+ 3
Answer:
There should be a table with the values of x to find Y or vice versa, it depends.
Step-by-step explanation:
it's an easy way to answer this question in the table given. You just have to substitute the given values into the formula and find the Yor X depending on the table what you are searching for?
for example, if you are given x as 2 then, to find Y will be:
Y =2(2) + 3
Y = 7
PLEASE help. I will mark as brainliest
Answer:
C 35
Step-by-step explanation:
Brainliest
a rectangular pool is 3 times as long as it is wide. a redwood walkway 2m wide with an area of 208 m borders the pol. what are the dimensions of the pool
The dimensions of pool 25.5m width, 76.5m length.
Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure.
let x= Width
formula of area of rectangle = Length x Width
Given;
[tex]\begin{aligned}&(3 x+2)(x+2)=3 x^{2} +208 \\&3x^{2} +8 x+4=3x^{2} +208\end{aligned}[/tex]
We can substrate [tex]3x^{2}[/tex] and 4 from both sides.
8x = 204
x = 25.5m width, 76.5m length.
(25.5)(76.5) = 1950.75 [tex]m^{2}[/tex]
(27.5)(78.5) = 2158.75 [tex]m^{2}[/tex]
The difference is 208[tex]m^{2}[/tex]
The dimensions of pool 25.5m width, 76.5m length .
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A map has a scale factor of 1 in=20 miles. If the distance between Dallas and Chicago was 9 inches on the map, how many miles is it in real life?
A. 20 miles
B. 180 miles
C. 200 miles
D. 10 miles
PLS HELP ME LIKE NOW PLS!?!
Answer:
B
Step-by-step explanation:
9x20=180
What is the domain of this quadratic function?
Answer: its c
Step-by-step explanation:
its c
Answer:
(-∞,+∞)
Step-by-step explanation:
The function is a continuous quadratic function
HELP!
h(t)=t^2+2t
g(t)=-t-5
Find ( h+g )(-8)
Answer:
(h + g)(8) = 67
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Combining Like TermsFunction NotationStep-by-step explanation:
Step 1: Define
h(t) = t² + 2t
g(t) = -t - 5
Step 2: Find (h + g)(x)
Substitute: (h + g)(x) = t² + 2t - t - 5Combine like terms: (h + g)(x) = t² + t - 5Step 3: Find (h + g)(8)
Substitute in x: (h + g)(8) = 8² + 8 - 5Exponents: (h + g)(8) = 64 + 8 - 5Add: (h + g)(8) = 72 - 5Subtract: (h + g)(8) = 67ola has 4
1
2
cups of rice. She uses
3
4
of the rice to make sushi rolls for dinner. She uses the rest of the rice to make rice pudding for dessert. How much rice does Lola use for the rice pudding?
The amount of cups that Lola uses to make the rice pudding for dessert is 3 3/4 cups.
How many cups were used to make rice pudding?
A fraction is a number that is made up of numerator and denominator. An example of a fraction is 3/4.
Number of cups were used to make rice pudding = number of cups Ola has - number of cups used to make sushi rolls
4 1/2 - 3/4
4 4 2-3/4 = 3 3/4 cups
What is fraction ?
A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator.
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Ajay just started a running plan where he runs 20 miles the first week and then increases the number of miles he runs by 5% each week. If he keeps up this plan for 14 weeks, how many total miles would Ajay have run, to the nearest whole number?
If Ajay keeps up his plans for 14 weeks he would have run total of 391 miles.
The sum of n terms of a Geometric Progression ( a,ar,ar²,ar³,...,arⁿ⁻¹ ) is given by
Sₙ=a(rⁿ-1)/(r-1)
where, a=first term
and r = common ratio
In the given question ,
Ajay runs 20 miles in first week , ...(i)
In second week the distance is increased by 5% of the previous week .
So in second week he runs = 20+5% of 20
[tex]=20+\frac{5}{100} *20[/tex]
=20(1+5/100)
=20(105/100)
=[tex]20\times(\frac{21}{20})[/tex] ...(ii)
In third week Ajay runs = 20(21/20) + 5% of 20(21/20)
=[tex]20(\frac{21}{20} )+\frac{5}{100} *20(\frac{21}{20} )[/tex]
=20(21/20)[1+5/100] ..taking 20(21/20) common
[tex]=20(\frac{21}{20} )[\frac{105}{100} ][/tex]
=20(21/20)(21/20)
=20(21/20)² ...(iii)
Similarly in 14th week Ajay Runs = 20(21/20)¹³ . ...(iv)
Total miles run by Ajay = miles run in first week + miles run in 2nd week + ...+ miles run in 14th week.
Substituting the values of equation (i), (ii), (iii) and (iv) we get
Total miles run by Ajay = [tex]20+20(\frac{21}{20} )+20(\frac{21}{20} )^{2} +...+20(\frac{21}{20} )^{13}[/tex]
The above series represent a Geometric Progression with common ratio as (21/20) and first term as 20.
Substituting in the formula for Sum of Geometric Mean we get
[tex]S_{14} =20(\frac{(\frac{21}{20} )^{14} -1}{\frac{21}{20} -1} )[/tex]
S₁₄=20*((1.05)¹⁴-1)/(1.05-1)
=20*(1.9799-1)/0.05
=20*0.9799/0.05
=20*19.598
=391.96
≅391
Therefore , If Ajay keeps up his plans for 14 weeks he would have run total of 391 miles.
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I’m new and I need help with this question.
Answer:
First answer (question 7) -18 (question 8) -13 (question 9) -3 (question 10) -2
Step-by-step explanation:
can anyone please help me ASAP?I have included a picture.
Answer:
[tex] Formula\: v =\frac{s}{t} \\\\
v = 60\: mph[/tex]
Step-by-step explanation:
Formula:
[tex]v = \frac{s}{t} \: mph \\ \\ when \: t = 3 \: and \: s = 180 \\ \\ v = \frac{180}{3} \\ \\ v = 60 \: mph[/tex]
Answer:
see explanation
Step-by-step explanation:
The formula for v is
v = [tex]\frac{s}{t}[/tex]
When t = 3 and s = 180 , then
v = [tex]\frac{180}{3}[/tex] = 60 mph
Help needed! Plz A graph of a linear inequality in two variables is shown below:
Answer:
C
Step-by-step explanation:
The slope of the line is
Answer:
The slope is 0
Step-by-step explanation:
If the line is horizontal then it's 0
A boat travels 4 miles downstream in half an hour, and the same distance upstream in 2 hours. What is the speed of the boat in still water?
Answer:
7/3 mph
Step-by-step explanation:
knowing that:
distance traveled = velocity * time - velocity of the water * time
4 = v1 * 1.5 + v2 * 1.5
4 = v1 * 2 - v2 * 2
solve the system in any way you want,
v1 = 7/3 miles per hour
v2 = 1/3 miles per hour
What is the diameter of a sphere with a volume of 9409 in, to the nearest tenth of an inch?
Answer:
26.29 cu. in.
Step-by-step explanation:
80% OFF
original price!
Sofia buys a lawn ornament during the sale. If the original price was $40, how much does Sofia pay?
Answer:
$8
Step-by-step explanation:
40 x .8 = 32
40 - 32 = 8
What is the measure of angle x? (1 point)
1) 35 degrees
O2) 40 degrees
3) 45 degrees
4) 50 degrees
Can someone help me please