9514 1404 393
Answer:
AC/GI = BC/HI
Step-by-step explanation:
To make use of the SAS similarity theorem, an angle must be shown congruent, and the sides on either side of it must be shown proportional. Here, the congruent angles are ...
∠C ≅ ∠I
and the proportional sides are ...
AC/GI = BC/HI . . . . . . matches the last choice
Harper surveyed 380 of the students in her school about their favorite color. 323 students said their favorite color was red. What percentage of the surveyed students said their favorite color was red?
Answer:
85%
Step-by-step explanation:
Method 1: Set up a proportion
Set up an equation of the form:
part
whole
=
whole
part
=
percent
100
100
percent
Assign the variable
x
x to the unknown value:
x
=
x=
percent
percent
The question asks what
percent
percent of all the students is 323
Substitute the known values with the numbers given in the problem, and the unknown value with
x
x:
323
380
=
380
323
=
x
100
100
x
Solve for
x
x:
100
⋅
323
=
100⋅323=
380
⋅
x
380⋅x
Cross multiply
32300
380
=
380
32300
=
380
x
380
380
380x
Divide both sides by 20
85
%
=
85%=
x
x
Simplify
Method 2: Convert to decimal and multiply
Find
323
out of
380
as a decimal:
Find 323 out of 380 as a decimal:
323
380
=
380
323
=
0.85
0.85
Convert decimal to percent:
Convert decimal to percent:
0.85
×
100
=
0.85×100=
85
%
85%
Move decimal 2 places to the right
number
percent
323
85%
380
100%
A 2-meter roll of fabric costs $1.36. What is the unit price?
Answer:1.3600
Step-by-step explanation:
the website said so
helpppppppppp plz..............
Answer:
8miles
Step-by-step explanation:
velocity= 6/(45/60)=8miles/h
distance = 8miles in 1 hour
which statement describes the solutions of the equation? 4x/3x+1 = x/2x+10
A) the equation has one valid solution and no extraneous of solutions.
B. the equation has one valid solution and one extraneous of solutions.
C. the equation has two valid solution and no extraneous of solutions.
D. the equation has no valid solution and two extraneous of solutions.
Answer:
The equation has one valid solution and no extraneous of solutions.Step-by-step explanation:
Given the expression;
4x/3x+1 = x/2x+10
We are to get the nature of the value of x
Cross multiply;
x(3x+1) = 4x(2x+10)
3x²+x = 8x²+40x
Collect like terms;
3x²-8x² + x - 40x = 0
-5x²+x -40x = 0
-5x²-39x = 0
-5x² = 39x
-5x = 39
x = -39/5
Since we have just one value of x hence, the equation has one valid solution and no extraneous of solutions.
The equation has one valid solution and no extraneous of solutions. The correct option is A.
What is equation?An equation is a mathematical expression in terms of one or more unknown variable.
Given the equation : 4x/3x+1 = x/2x+10
Simplify by Cross multiplication, we get
x(3x+1) = 4x(2x+10)
3x²+x = 8x²+40x
3x²-8x² + x - 40x = 0
-5x²+x -40x = 0
-5x²-39x = 0
Simplifying further and solving for x
-5x² = 39x
-5x = 39
x = -39/5
We have just one value of x.
Hence, the equation has one valid solution and no extraneous of solutions.
Learn more about equations.
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You travel 378 miles in 5.25 hours. Find the speed you travel.
A. 0.01 miles per hour
B. 72 miles per hour
C. 75.6 miles per hour
Annabelle is working two summer jobs, making $10 per hour babysitting and making $20 per hour lifeguarding. In a given week, she can work no more than 19 total hours and must earn no less than $290. If Annabelle worked 3 hours babysitting, determine the minimum number of whole hours lifeguarding that she must work to meet her requirements. If there are no possible solutions, submit an empty answer.
Answer:
she would need to work at least 13 hours lifeguarding to get to the 290 her with the of working an extra 3 hours
Step-by-step explanation:
subtract the 30 dollars from babysitting from the 290 needed you 260 then divide it by 20
The minimum number of whole hours lifeguarding that she must work to meet her requirements will be 14 hours.
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
Annabelle is working two summer jobs, making $10 per hour babysitting and making $20 per hour lifeguarding.
In a given week, she can work no more than 19 total hours and must earn no less than $290.
Now,
Let x represents the number of hour for babysitting, and 'y' represents the number of hours for lifeguarding.
Since, In a given week, she can work no more than 19 total hours and must earn no less than $290.
Hence, We can formulate;
⇒ x + y < 19
And, 10x + 20y > 290
So, For Annabelle worked 3 hours babysitting, the minimum number of whole hours lifeguarding is,
⇒ 3 + y < 19
⇒ y < 16
And, 10x + 20y > 290
⇒ 30 + 20y > 290
⇒20y > 290 - 30
⇒ 20y > 260
⇒ y > 13
Thus, The possible value of y = 14, 15
So, The minimum number of whole hours lifeguarding that she must work to meet her requirements will be 14 hours.
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From looking at a parabola from a graph, I can kinda figure out the vertex form of it, and then factor it out to standard form.
but, in vertex form, which is a(x=h)+k, how do I figure out the a. usually, it's 1, but if it's not, how do i know that by just looking at the graph
Answer:
mhm
Step-by-step explanation:
Answer:
sure
Step-by-step explanation:
Estimate 71.64+55.838 by first rounding each number to the nearest whole number.
Answer:
72+56=128
Step-by-step explanation:
hope this help s you out
Write 0.000000608 in scientific notation
Answer:
6.08 * 10 ^ -7
Step-by-step explanation:
Brainliest PLZ
Answer:
6.08 x [tex]10^{-7}[/tex]
Step-by-step explanation:
For scientific notation, you want one digit to be in front of the decimal point -- so you need to move the decimal point 7 spaces to the right -- which is the same as dividing by 10^7, or multiplying by 10^(-7). So you're left with 6.08 x 10^(-7)
If y = 3x – 8, and y = f(x), find f(2). *
Answer:
f(2) = -2
Step-by-step explanation:
Replace y with f(x). The equation is now f(x) = 3x - 8. f(2) means that you replace all of the x’s with 2’s. Bringing the equation to f(2) = 3(2) - 8. You now just have to solve the equation. f(2) = 6 - 8. f(2) = -2
For what value of the constant a does the system of equations below have infinitely many solutions?
Answer:
1) Try a = 23/2. With this value, equation 1 multiplied by 2 is exactly the same as equation 2.
2) Try dividing 2005/3 + 2005/4 - 2005/6. Ignore the fractional parts.
3) If you are allowed to repeat the letters, then you should have: 3^3 = 27
Answer:
a = 8
Step-by-step explanation:
For the 2 equations to have infinite solutions we require the solution to be in the form
0 = 0
Given
2x + 5y = - 8 → (1)
6x = 16 + a - 15y ( add 15y to both sides )
6x + 15y = 16 + a → (2)
Multiply (1) by - 3
- 6x - 15y = - 24 → (3)
Adding (2) and (3) term by term gives
0 + 0 = 16 + a - 24
For the right side to be zero , then
16 + a = 24 ( subtract 16 from both sides )
a = 8
how do u solve this: Tamara was charged for two bags that were over the weight limit and another bag that was over the size limit. Write and evaluate a numerical expression to find the additional fees Tamara was charged for her bag.
Answer:
1 < 2
1 + 2 (Overdue fees) = Total amount
Sorry if its wrong but thats what I think is right
Solve the system of equations Algebraically.
x+y=-3
y= x + 3
Find the value of.x, then y. Write your answer as an ordered pair.
Is 12x^2 a factor of 6x
Answer: 12x^2 is 144 because 12 times 12 is 144 which means 6 does not include with those so no 6 is not a factor of that
Step-by-step explanation:
Look at the photo pick A B C D either one explanation not needed thank you! <3 -14- don’t guess
Answer:
that correct answer is A. this is how i remember it WALK TO a friends house then you walk UP to the door
Natalie went skydiving. She jumped out of the plane at 3,080 feet above the ground. At 1,710 feet above the ground her parachute deployed, and instead of continuing to fall, she rose 35 feet. At this point, how far is she from the plane? Explain how you found your answer. PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP
Small earthworms travel at speeds of about 0.2 centimeters per second. What is this speed in meters per second? 0.0002 meters per second
Answer:
0.002m/s
I hope it will be useful.
Answer:
0.0002 meters per second
tom and tammy race cross country on motor bikes to drive 450 miles in 9 hours. Tammy took 7 1/2 hours to travel the same distance as tom compute the unit rate that describes toms average driving speed and tammy's average driving speed show how your decisions below
Answer:
50 and 60 mph respectively
Step-by-step explanation:
Step one:
given data
total distance= 450 miles
time take= 9 hours
Required
Tom and Tammy's average speed
Step two:
Tom's average speed= 450/9
= 50 miles per hours
Tammy's average speed= 450/7.5
= 60 miles per hours
A student draws a quadrilateral that has two sides measuring 5 cm and two sides measuring 8 cm, and the sides opposite to each other are parallel.
Which of the following quadrilaterals could the student have drawn?
Select all that are possible.
A.square
B.rectangle
C.rhombus
D.parallelogram
E.trapezoid
Answer:
B
Step-by-step explanation:
two sides are longer than the other two, D could also be one of the choices but rectangles have two parallel lines and have shorter sides at the sides
Help PLEASE ASAP, Algebra question, need steps
Answer: x=2
Step-by-step explanation: I download and I see your work and that my answer up there, hope this help
Use the graph to estimate the solution to the quadratic-linear system
An item is regularly priced at $27. Jose bought it on sale or 45% off the regular price
Answer:
You pay 14.85
You save 12.15
Step-by-step explanation:
Trust
What is the perimeter of a square with an area of 81 cm??
Answer:
36 cm
Step-by-step explanation:
Answer:
162
Step-by-step explanation:
81÷2=40.5
40.5×4=162
I don’t know how to do this I’m so confused
Answer:
You have to graph it
Step-by-step explanation:
Step-by-step explanation:
take the value in that BIG curly bracket as X terms....then substitute one by one to the equation given below to get Y values...after that u have cordinates then u can draw the graph..
[tex]x \: \: \: y \\ - 2 = - 8 \\ - 1 = - 10 \\ 0 = - 12 \\ 1 = - 14 \\ 2 = - 16[/tex]
this is for the first equation..so the coordinated are...
(-2,-8), (-1,-10), (0,-12), (1,-14), (2,-16)
use the same methord to find the others
Which linear function represents the line given by the point-slope equation y - 3 = 4(x - 5)?
O f(x) = 4x - 17
Of(x) = x - 20
O f(x) = 7x-5
f(x) = 4x - 2
Answer:D.f(x)=4x-10
Step-by-step explanation:
2020edge
What is part- to part ratio?
Answer:
Part-to-part ratios provide the relationship between two distinct groups
Step-by-step explanation:
For example, the ratio of men to women is 3 to 5, or the solution contains 3 parts water for every 2 parts alcohol. Part-to-whole ratios provide the relationship between a particular group and the whole populations (including the particular group).
17 is what percent of
32?
Answer:
53.13
Step-by-step explanation:
i just looked it up to back up my answer?
A football stadium has 4,890 seats. There are 6 sections
of seats with the same number of seats in each section.
How many seats are in each section?
Answer:
815 seats in a section
Step-by-step explanation:
4,890/6 Equation
815 Solve
f (x) = 4x² -4x
Find f (-7)
Answer:
f(-7) = 224
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 4x² - 4x
f(-7) is x = -7
Step 2: Evaluate
Substitute in x: f(-7) = 4(-7)² - 4(-7)Exponents: f(-7) = 4(49) - 4(-7)Multiply: f(-7) = 196 + 28Add: f(-7) = 224What expression is equivalent to the expression 5 + 3y + 5y?
Answer:
5 + 8y
Step-by-step explanation:
hope this helps, pls mark brainliest :D
Answer:
5+8y
Step-by-step explanation:
combine like terms (3y+5y)