Answers
9514 1404 393
Answer:
1e. 2t² +8t -6
2h. a² +2ab -3b²
3b. 8r +4
4b. 6x +4y -11
5b. e -3
Step-by-step explanation:
1e. Combine like terms.
(3t² +3t -6) +(-t² +5t) = t²(3 -1) +t(3 +5) -6
= 2t² +8t -6
__
2h. (2a² +3ab -4b²) -(a² +ab -b²)
Use the distributive property to eliminate parentheses. Note that all signs change in the second set of parentheses.
= 2a² +3ab -4b² -a² -ab +b² = a²(2 -1) +ab(3 -1) +b²(-4+1)
= a² +2ab -3b²
__
3b. The hash marks indicate sides of the same length. The perimeter is the sum of all side lengths.
P = (4r -2) +2(2r +3)
P = 4r -2 +4r +6 . . . . . . eliminate parentheses
P = 8r +4 . . . . . . . . . . . . combine like terms
__
4b. (3x +4y) +(5x -8) -(2x +3)
Note that the distributive property changes the sign of all terms in the last parentheses.
= 3x +4y +5x -8 -2x -3 . . . . eliminate parentheses
= x(3+5-2) +y(4) +(-8-3) . . . group like terms
= 6x +4y -11
__
5b.
Bill's age - Erin's age = (2e-3) -(e) = e -3
The difference in their ages is (e -3).
Related Questions
Please help, geometry homework. Answer true or false for the following statements. The ones that are marked “ T” or “ F “ are already done, if I am wrong, please let me know.
Answers
2. True
3. False
4. False
5. False
13. False
14. False
A supermarket has found that the relationship between a day's high temperature and the amount of money taken in on that day from frozen yogurt sales can be modeled by the equation y = 4x + 164, where x is the high temperature in degrees Fahrenheit and y is the amount taken in from frozen yogurt sales in dollars. Which of these statements is true according to the model?
Answers
Answer:
On a day when the high temperature is 79° F, the supermarket can expect to take in $380 in frozen yogurt sales.
Step-by-step explanation:
**50 pts**I mark brainliest**
M<2=34 degrees. find m<4 and explain how you know.
Answers
Answer:
angle 4 = 34 degrees
Step-by-step explanation:
angle 4 is equal to angle 2 because it is an alternate interior angle of 34 degrees.
Answer:
34
Step-by-step explanation:
<1+<2=180° because these are neighbour angle
X+34=180
X=146
Then you can apply the left side
X+146=180
X=34
what is w divided by 6=7
Answers
Answer:
42
Step-by-step explanation:
w/6 = 7
multiply both sides by 6
w = 42
There are 120 people in a sport centre. 78 people use the gym. 46 people use the swimming pool. 45 people use the track. 21 people use the gym and the pool. 16 people use the pool and the track. 24 people use the gym and the track. 9 people use all three facilities. A person is selected at random. What is the probability that this person doesn't use any facility?
Answers
43/120 ≈ 0.3583
Step-by-step explanation:
Adding up the folks who use two facilities counts the folks who use all three 3 times. So, the number who use two or more facilities is ...
21 +16 +24 -2(9) = 43 . . . . people who use 2 or more facilities
The probability that a person chosen randomly from the 120 at the sports center uses at least 2 facilities is ...
43/120 ≈ 0.3583
_____
The given numbers add up as follows:
Gym only: 42
Pool only: 18
Track only: 14
Gym and Pool only: 12
Gym and Track only: 15
Pool and Track only: 7
Gym and Pool and Track: 9
No facilities: 3
The length of a rectangle is four times its width. If the area of the rectangle is 100in2 , find its perimeter.
Answers
Width = 5
Perimeter = 50
What is the value of
7/3 divided by 5/6
Answers
Answer:
multiply the dividend denominator by the divisor numerator to make a new denominator:
7 x 6
3 x 5
=
42
15
Thus, the answer to 7/3 divided by 5/6 in fraction form is:
42
15
To make the answer to 7/3 divided by 5/6 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
42/15 = 2.8
The answer is rounded to the nearest four decimal points if necessary.
42/15 can be simplified to 14/5.
14/5 is an improper fraction and should be written as 2 4/5.
Step-by-step explanation:
42/25 = 2 4/5 = 2.8 is the value of 7/3 divided by 5/6 .
Here, we have,
given that,
7/3 divided by 5/6
so, we get,
7/3 / 5/6
=7/3 x 6/5
multiply the dividend denominator by the divisor numerator to make a new denominator:
7 x 6/3 x 5
= 42/15
Thus, the answer to 7/3 divided by 5/6 in fraction form is:
42/15
To make the answer to 7/3 divided by 5/6 in decimal form, we simply divide the numerator by the denominator from the fraction answer above:
42/15 = 2.8
The answer is rounded to the nearest four decimal points if necessary.
42/15 can be simplified to 14/5.
14/5 is an improper fraction and should be written as 2 4/5.
Learn more about the Division here:
brainly.com/question/22357901
#SPJ6
The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes. Round yours answers to 4 decimal places. (a) What is the probability that more than three customers arrive in 10 minutes
Answers
Answer:
0.7788 = 77.88% probability that more than three customers arrive in 10 minutes
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
In this question, we have that:
The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes, and we have three customers, which means that [tex]m = 3*4 = 12, \mu = \frac{1}{12} = 0.0833[/tex]
(a) What is the probability that more than three customers arrive in 10 minutes
This is P(X > 3). So
[tex]P(X > 3) = e^{-0.0833*3} = 0.7788[/tex]
0.7788 = 77.88% probability that more than three customers arrive in 10 minutes
I need help with this is this complementary or supplementary or nither
Answers
If L // M find the value of X. provide step by step explanation please
Answers
Answer:
x = 29°
Step-by-step explanation:
If line l is parallel to line m, therefore:
(180° - 130°) + 101° + x° = 180° (angles on a straight line)
50° + 101° + x° = 180°
151° + x° = 180°
x = 180° - 151° (substraction property of equality)
x = 29°
which best describes a way to show 1 third shaded
Answers
Answer:
Draw a circle then you divide it into thirds, then you grab your penicl and shade one of those three sections. That is how you show 1 third shaded
Step-by-step explanation: Vote brainiest plzzz
draw a rectangle divide it into 3 equal parts and shade in 1 part
Does this expression represent the sum 13.76 + 2.8?
sixteen and fifth-six hundredths
Answers
Answer:
Yes true
Step-by-step explanation:
the numbered add up
What is the range of : 4,3,3,15,28
Answers
28-3
The range is 25
what wasbthe high temperature bon the 6th day of the trip
Answers
PLS I NEED HELP! Which graph grows the fastest as x gets larger?
A. y = 3^x
B. y = 5^x
C. y = 4^x
D. y = 2^x
Answers
Answer:
y=5^x
Step-by-step explanation:
5 to whatever power will always be larger than 4, 3, or 2.
For example:
3 squared = 9
5 squared = 25
4 squared = 16
2 squared = 4
25 is greater than 9, 16, and 4
Which is the value of the expression? (-2) to the fourth power
A. -16
B. -8
C. 8
D. 16
Answers
Answer:
Variant D
Step-by-step explanation:
-2*(-2)*(-2)*(-2)=16
The perimeter of a square is 20 in. What is its area? Label the square. How long is each side of the square?
Answers
Answer:
5
Step-by-step explanation:
If the whole square is 20in and there are four sides, then divide 20/4 which is 5
(I think)
awser the circled question
Answers
Answer:
7.5
Step-by-step explanation:
if one square is unit then use area formula for a right triangle which is 1/2bh
since height is 5 and base is 3, 5*3= 15 and 15/2= 7.5
hope this helps
As a gift for your hard-earned victory in defense of the kingdom, the king gives you a reward. One penny with the promise to double it every day for the next 25 days. What would a reasonable range be in this situation? How many pennies will you have on the 25th day?
Answers
Help for brainliest !!
Answers
Answer:
I think the option b
But not sure about it
Answer:
A. 5/9 square meters
Step-by-step explanation:
Given
Length (L) = 5/6 meter
Breadth (b) = 2/3 meter
Now
Area of the garden
= L * b
= 5/ 6 * 2 / 3
= 5 / 9 square meters.
Hope it will help :)
What is the face value of 2 in the number 286?
Answers
Answer:
200 or 2 I guess
Step-by-step explanation:
Ion really get wym by “ what is the face”
A cylinder and its dimensions are shown in the diagram.
Which equation can be used to find v, the volume of the cylinder?
5 in.-
A v = 7(2.5h)
B v = (5h)?
ע
C v= *(2.5) n
Dv = (5)n
h in.
What is the volume of the cylinder? Round to the nearest tenths. Show your work.
Answers
Answer:
C. V = π(2.5)²h
Volume = 19.6h
Step-by-step explanation:
Radius (r) of cylinder = ½ of 5 = 2.5 in.
Height (h) = h in.
Volume of a cylinder = πr²h
Equation that can be used to find B:
Plug in the values into the volume formula
V = π(2.5)²h
Volume = 19.6h
will give brainlist geometry
Answers
Given :
segment AB = segment ADsegment BC = segment DC∠B =∠Dsegment AC bisects ∠BADThis means that △ABC≅△ADC under the SAS congruence criterion because according to this criterion if two sides and one included angle is equal two triangles are congruent and since these two triangles fulfill these rules they are said to be congruent under the SAS congruence criterion. But they are also congruent under the ASA congruence criterion which states that if two angles and one included side is equal two triangles are congruent. Since △ABC and △ADC fulfill these rules too they can said to be congruent under the ASA congruence criterion.
Guys, PLEASE HELP! These are my last points. PLEASE EXPLAIN AS WELL! WORTH 25 POINTS!
Answers
Answer:
the slope is 2
Step-by-step explanation:
Aubree is going to invest in an account paying an interest rate of 1.5% compounded quarterly. How much would Aubree need to invest, to the nearest dollar, for the value of the account to reach $5,600 in 16 years?
Answers
Answer:
p=4407
Step-by-step explanation:
Answer:
22.2
Step-by-step explanation:
for nearst tenth
Does anyone wanna help me?
Answers
Answer:
The correct answer is Lorenzo
Looking out for me balcony the angle of elevation to the top of the next building is approximately 22° in the English depression to the bottom of the building approximately 29° if the building is 200 feet away how tall is the building?
Answers
Answer:
24.63 meters
Step-by-step explanation:
A box of cereal states that there are 87 calories in a 3 4-cup serving. What is the unit rate for calories per cup? How many calories are there in 3 cups of the cereal?
Answers
Answer:
3 cups = 348 calories
Step-by-step explanation:
Step 1
Let the calories in one cup be represented as C
Therefore
3/4 x C = 87 calories
C = 87 X 4 / 3 = 116
unit rate is 116 calories per cup.
Step 2- Solving the number of calories in 2 cups
1 cup serving = 116 calories
2 cups servings = 116 x 2= 232 calories
116 x 3 = 348 calories
Credit: tutorAnne
Can you please help me on question 14?!
Answers
Answer:
B) 9
Step-by-step explanation:
15 minutes = 3 miles
15x3 = 45
3x3=9
Please answer question for my friend, Will mark brainliest.
A bottle of orange juice says it contains 200 milligrams of vitamin C, which is 200% of the daily recommended allowance of vitamin C for adults. What is 100% of the daily recommended allowance of vitamin C for adults?
Answers
Answer:
im guessing 100 milligrams of vitamin c
Step-by-step explanation:
Answer:
100 mg
Step-by-step explanation:
you could think of it like this: if you divide 200mg and 200% both by two you get 100mg for 100%
