Answer:
mABC=130°
mEBD=130°
mABE=50°
Step-by-step explanation:
Ms. Scott wrote a test. Part A had true/false questions, each worth 6 points. Part B had multiple choice questions, each worth 4 points. She made the number of
points for Part A equal the number of points for Part B. It was the least number of points for which this was possible,
Answer the following questions.
How many points was each part worth?
points
How many questions did Part A have?
questions
How many questions did Part B have?
questions
Answer:
1. How many points was each part worth?
- 12 points
2. How many questions did part A have?
- 2 questions
3. How many questions did Part B have?
- 3 questions
Step-by-step explanation:
We can set up our equation like this:
6x = 4y
In the above equation, x is representing the number of true/false questions and y is representing the nymber of multiple choice questions.
Now, the problem tells us that they want the least number of points possible so we know we need to use low numbers.
Since 6 is higher than 4, it's easier to go off of there.
6 x 1 = 6 4 is too big to go into 6 so we will move on.
6 x 2 = 12 4 goes into 12 3 times so we can use this.
Now that we've figured this out, we can put it in our equation:
6(2) = 4(3)
In the above equation, we can see that I've put 2 in for x because we multiplied 6 by 2 to get 12. I also put 3 in for y because we multiplied 4 by 3.
Now we can start with the questions:
1. How many points was each part worth?
Each part was worth 12 points because we can multiply 6 by 2 and get 12 or 4 by 3 and get the same thing
2. How many questions did part A have?
Part A had 2 questions because this is what x was when we multiplied by 6
3. How many questions did Part B have?
Part B had 3 questions because this is what y was when we multiplied by 4
Hope this helps!!
Find the nth term of the sequences -3, 0, 5, 12, 21,...
Answer:
[tex]a_n=-3+2n+n^2}[/tex]
Step-by-step explanation:
[tex]a_0= -3+0+0=-3\\a_1=-3+2+1=0\\a_2=-3+4+4=5\\...[/tex]
Multiply negative 1 over 6 multiplied by negative 1 over 5
-1/6 x -1/5
Convert fractions
1 x 5
6 x 5
-5/30
1 x 6
5 x 6
-6/30
-5/30x-6/30
1/30(Used a calculator to multiply)
hope it helps!
You buy a 562.75 ml container of dish soap. You already have 224.14 mL at home. How many mL do you have in total?
Answer:
You would have 786.89 ml of dish soap
Step-by-step explanation:
Hope it helps
The total amount of dish soap is adding the both the amounts will be 786.89 ml.
What is addition?Addition in math is a process of combining two or more numbers.
Given that, You buy a 562.75 ml container of dish soap, and You already have 224.14 mL at home.
To find the total amount of dish soap, we will add both the amounts.
The total amount of dish soap = 562.75 ml + 224.14 ml = 786.89 ml.
Hence, the total amount of dish soap is 786.89 ml.
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Find the distance (-4,6) and (3,-7)
Answer:
Distance ≈ 14.8
Step-by-step explanation:
Calculate the distance (d) using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 4, 6) and (x₂, y₂ ) = (3, - 7)
Hope this helps!!!!
there are 84 students in the 8th grade. if they are split evenly into 6 groups how many students will be in each group
Answer:
14
Step-by-step explanation:
First, we must identify what the question is asking.
84 students are being split into 6 groups.
If you have a calculator, you can simply enter "84 / 6".
If not, we must do some long division!
6 | 84
How many times does "6" go into "8"? 1 time! Now we subtract 6 from 8.
1
6| 84 (Bring down the 4 afterwards)
-6
1
6| 84 How many times does 6 go into 24? 4 times!
-6
24
14
6| 84 How many times does 6 go into 24? 4 times!
-6
24
The answer is 14!
find the zeroes of the polynomials 3t^2 - 7t, 2root5y^2 + y - 3root5
Answer:
7/3
Step-by-step explanation:
3t^2 - 7t
T(3t-7)
T=0, 3t-7=0,.: t=7/3
The zeros are t=7/3
2root5y^2 +y-3 root 5
Pls does the root affect y tooo.
-6 + 8(7 + 2p) = 82 please answer this
Find an equation of the line through (1, 7) and parallel to y=2x-2
Answer:
Step-by-step explanation:
y - 7 = 2(x - 1)
y - 7 = 2x - 2
y = 2x + 5
at a dog shelter a, 26-pound bag of dog food will feed 40 dogs. how many dogs would you expect to feed with a 13-pound bag dog food? input only whole number
Answer:
20 dogs
Step-by-step explanation:
13 is half of 26 so if 26 pounds can feed 40 dogs then 13 pounds can feed 20 dogs.
Round $8.597 to the nearest cent
$8.60
$8.59
$8.69
$8.50
Well, I dont think that amount of money is a real amount so.
But my guess would be $8.60
Explanation:
Since you provided us with 5,9, and 7, you should use the 7 to round up the next number. So, you round the 9, to 10, so you add the 1 from the 10, on the 5. So it is 6. So your answer is $8.60.
whatexpression would give you a sum of 16
Answer:
8+8
Step-by-step explanation:
How are alternate exterior angles related?
Answer:The Alternate Exterior Angles Theorem states that if a pair of parallel lines are cut by a transversal, then the alternate exterior angles are congruent. Here we have a new pair of lines, parallel and crossed by a transversal.
Solve for p in terms of V, n, R, and T.
PV = nRT
P=
The value of P for the expression PV = nRT will be P=nRT/V.
What is an expression?Mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given expression is PV = nRT. The value of p for the expression is calculated as:-
PV = nRT
P = nRT / V
Therefore, the value of P for the expression PV = nRT will be P=nRT/V.
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What is the value of the expression below plz help!
2y^2 + 9y + 2, while y = 7
Plug 7 in for y
2(7)^2 + 9(7) + 2
Simplify
98 + 63 + 2
Add together each term
163
what is the inverse function of
[tex]g(x) = (x + 2) ^{2} + 1[/tex]
Answer:
Im not gonna hand it to you, but heres what you need to solve it. :)
Step-by-step explanation:
An inverse function is a function that undoes the action of the another function. A function g is the inverse of a function f if whenever y=f(x) then x=g(y). In other words, applying f and then g is the same thing as doing nothing. We can write this in terms of the composition of f and g as g(f(x))=x.
A square patio has an area of 225 square feet. Write the area as a power.
Then find the side lengths of the patio.
2x +1 = 5
List the 2 steps to solve and the
solution.
Answer:
(This way you have to solve for x)
way 1
step 1: 2x+=5
step 2: 2x=5-1
step 3: 2x=4
answer x=2
(This way you have to solve by rewriting in standard form)
way 2
step 1: 2x+1=5
step 2: 2x=5-1
step 3: 2x=4
answer x=2
Step-by-step explanation:
10. The value of the 8th term is 78.
The sequence is increasing by 10 at each step.
Explicit equation: y = 10x - 2
Recursive: now = previous term + 10
Find the 9th term.
Explanation:
Answer: The answer is 88
Step-by-step explanation: It is recursive because you can add 78+10=88
iven f(x) = 2x2 - 4x-3, find f (a + 3)
Greetings from Brasil...
To solve this question, just replace X of function F(X) with A + 3
F(X) = 2X² - 4X - 3
F(A + 3) = 2 · (A + 3)² - 4 · (A + 3) - 3
(A + 3)² = A² + 2 · A · 3 + 3²
F(A + 3) = 2 · (A² + 6A + 9) - (4A + 12) - 3
F(A + 3) = 2A² + 12A + 18 - 4A - 12 - 3
F(A + 3) = 2A² + 8A + 3The mean attendance for the first four meetings is 20. Is the number of students who attended greater than, less than, or equal to 20? Explain
Answer:
Greater than 20Step-by-step explanation:
Since mean is the average number of students, the formula for calculating the mean attendance of students is expressed as;
Mean = total number of student/sample size
[tex]\overline x = \frac{\sum Xi}{N}[/tex]
Given mean = 20
Since the question talks about the first four meetings, the sample size = 4
[tex]20 = \frac{\sum Xi}{4}\\ \\\sum Xi = 20 * 4\\\\\sum Xi = 80[/tex]
Since the sum total of students for the first four meetings is 80, hence the number of students who attended the meeting is greater than 20
What is the the formula of the radius of the circle?
PLEASE HELP!! Points A, B, and P are collinear on segment AB, and AP: AB = 1/4. A is located at (8,4) and B is located at (4,12). What are the x and y coordinates of point P?
Answer:
(7,6)
Step-by-step explanation:
plz mark as brainliest if it helps
Which expressions
are
equivalent to 4-2.7-2 ?
If a car is traveling at a constant rate of 20 miles per hour, how far would it
travel in 3 hours?
Answer:
60 miles
Step-by-step explanation:
Take 20 and multiple by 3 which gives you 60
hope this helps
Answer:
60 miles
Step-by-step explanation:
20 miles in 1 hour
times 3 hours
20 x 3 = 60
how long would it take an bus traveling at 52km/h to travel 130km
Answer:
2 hours
Step-by-step explanation:
Answer:
About 2.5 hours
Step-by-step explanation:
divide 130 by 52 = 2.5
An equation is shown below: 3(4x + 5) = 12 Which of the following correctly shows the beginning steps to solve this equation? (4 points) Group of answer choices Step 1: 12x + 15 = 12 Step 2: 12x = −3 Step 1: 12x + 5 = 12 Step 2: 12x = 7 Step 1: 7x + 5 = 12 Step 2: 7x = 7 Step 1: 7x + 8 = 12 Step 2: 7x = 4
Answer:
I believe the answer would be step 1: 12x + 15 = 12, and step 2: 12x = -3.
Step-by-step explanation:
3(4x + 5) = 12, you would foil and do 3 times 4x which is 12x, then do 3 times 5 which is 15. So the result would be 12x + 15 = 12. And the step 2 that goes along with this answer. you would do -15 on both sides of the equal sign, so now you have 12x = 12 - 15 which is -3, so it would be 12x = -3
Answer:
Step 1 would be the answer: Step 1: 12x + 15 = 12 Step 2: 12x = −3 Step 1: 12x + 5 = 12
Step-by-step explanation:
You bake a batch of muffins. You freeze 6 muffins and share the rest equally among yourself and 2 friends. Write an
expression that can be used to determine the number of muffins, m, each friend gets.
The expression to determine number of muffins each friend gets is ; m = [tex]\frac{x}{3}[/tex] - 2.
It is given that 6 muffins are freeze and rest are equally shared among yourself and 2 friends.
We have to find out the number of muffins each one will get.
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as multiplication , division , etc.
As per the question ;
The number of freeze muffins = 6
The rest of muffins are equally divided between me and 2 other friends.
Let's assume that the total number of muffins is x.
The number of muffins distributed between 2 friends and me is ;
= x - 6
The number of muffins (m) each one will get ;
m = [tex]\frac{x-6}{3}[/tex]
or
m = [tex]\frac{x}{3}[/tex] - [tex]\frac{6}{3}[/tex]
or
m = [tex]\frac{x}{3}[/tex] - 2
Thus , the expression to determine number of muffins each friend gets is ; m = [tex]\frac{x}{3}[/tex] - 2.
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kelly bought a dozen cupcakes for $30 what is the cost of one cupcake?
Answer:
cost of 1 dozen cupcake =30$
cost 12 cupcake =30$
cost of 1 cupcake=30/12
=2.5$
Is 0 rational, integer, whole, natural, or irrational?
Answer:
0 is a rational, whole, integer and real number. Some definitions include it as a natural number and some don't (starting at 1 instead).
Step-by-step explanation:
Hope this helps