Answer:
a is less than or equal to -5
Step-by-step explanation:
Answer:
a ≤-5
Step-by-step explanation:
a-3 ≤-8
Add 3 to each side
a-3 +3≤-8+3
a ≤-5
Luz drives at an average speed of 45 miles per hour. She has driven for 3 hours and has travelled a distance of 135 miles. This situation can be represented with a linear equation written in point-slope form, where x represents the number of hours and y represents the number of miles. Use this information to complete each statement about the linear equation.
Answer:
[tex](y-135)=45(x-3)[/tex]
Step-by-step explanation:
Let x represents the number of hours and y represents the number of miles.
We are told that Luz drives at an average speed of 45 miles per hour. She has driven for 3 hours and has traveled a distance of 135 miles.
We can see from our given information that slope of line is 45 as with each increase in number of hours (x), change in distance (y) is 45.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{135-0}{3-0}[/tex]
[tex]m=\frac{135}{3}[/tex]
[tex]m=45[/tex]
Since the equation of line in point-slope form is : [tex](y-y_1)=m(x-x_1)[/tex], where m represents slope of line and [tex](y_1,x_1)[/tex] represents a point the line passes through.
Upon substituting our given values in point-slope form of equation we will get,
[tex](y-135)=45(x-3)[/tex]
Therefore, the equation represented in point-slope form will be: [tex](y-135)=45(x-3)[/tex].
Answer:
The slope of the linear equation is 45.
A point on the graph of a linear equation will be (3, 135).
This linear equation can be written as (y-135)=45(x-3).
Find the Greatest common factor of 4,42, and 14
Factor each number into its prime factors
4 = 2*2
42 = 2*3*7
14 = 2*7
The value "2" shows up exactly one time for each list of factorizations. No other number (not 3, nor 7) shows up for all three factorizations.
Answer: 2
What is the distance between the points (−19, −4) and (11, 12)?
A. 30
B. 34
C. 48
D. 17
Answer:
B. 34
Step-by-step explanation:
To find the distance between two point we use the formula
d = sqrt( (x2-x1)^2 + (y2-y1)^2)
d = sqrt((12--4)^2 + (11--19)^2)
d = sqrt((12+4)^2 + (11+19)^2)
d = sqrt((16)^2 + (30)^2)
d =sqrt(256+900)
d = sqrt(1156)
d =34
Answer:
The correct answer is 34.
Step-by-step explanation:
d(A,B)d(A,B)d(A,B)=(11−(−19))2+(12−(−4))2−−−−−−−−−−−−−−−−−−−−−−−√=900+256−−−−−−−−√=34
Consider a situation where P(A) = 4/5 and P(A and B) = 1/2. If the events are independent, then what is P(B)?
Answer:
Step-by-step explanation:
Since it's independent you use the formula:
P(A) x P(B) = P(A+B)
(4/5) x P(B) = (1/2)
Make common denominator
(8/10) x P(B) = (5/10)
P(B) = 5/8
If the events are independent, then the value of P(B) will be 5/8.
What is probability?The chances of an event occurring are defined by probability. Probability has several uses in games, and in business to create probability-based forecasts.
For independent events;
P(A) x P(B) = P(A+B)
(4/5) x P(B) = (1/2)
P(B) =(1/2)×(5/4)
P(B) = 5/8
Hence the value of P(B) will be 5/8.
To learn more about probability, refer to the link;
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Use this regular pentagon to answer the questions. What is the measure of one of the central angles in the regular pentagon?
Answer:
Measure of one of the central angles in the regular pentagon is 72 degree.
Step-by-step explanation:
A Central angle states that the angle made at the center of the polygon by any two adjacent vertices of the polygon.
If you draw a line from any two adjacent vertices to the center, then they would make the central angle.
Since, it is given that the polygon we use here is regular pentagon.
⇒ All the central angles are equal.
The formula to find the central angle is:
Central Angle = [tex]\frac{360^{\circ}}{n}[/tex] where n is the number of sides.
Since, the measure of the central angle thus depends only on the number of sides.
Here, side(n) = 5 (Polygon is regular pentagon)
then;
Central angle = [tex]\frac{360^{\circ}}{5} =72^{\circ}[/tex]
Therefore, the measure of one of the central angle in the regular pentagon is, [tex]72^{\circ}[/tex]
Answer:
72 and 54 are your answers
Step-by-step explanation:
Solve the inequality 4x - 6 > 6x - 20
A.) x > 7
B.) x < 7
C.) x < 2
D.) x > 2
Answer:
What the othe rguy said, also give him brainliest
Step-by-step explanation:
2x + 6
What is the value of this expression if x = 4?
A) 2
B) 8
C) 14
D) 20
Answer:
The value of expression 2x + 6 at x = 4 is 14 .
Option (C) is correct .
Step-by-step explanation:
As given the expression in the question be as follow .
= 2x + 6
Put x = 4 in the above equation
= 2 × 4 + 6
Simplify the above
= 8 + 6
= 14
Therefore the value of expression 2x + 6 at x = 4 is 14 .
Option (C) is correct .
Answer:
c) 14
Step-by-step explanation:
The given value is,
→ x = 4
Now the value of expression is,
→ 2x + 6
→ (2 × 4) + 6
→ 8 + 6 = 14
Hence, option (c) is correct.
A large chess tournament starts with 1024 players. How many players will be remaining after 6 rounds
Final answer:
After 6 rounds of the chess tournament starting with 1024 players, 16 players will remain. In the story of the king and chessboard with exponential doubling of rice, the total would be [tex]2^{64[/tex] - 1 grains.
Explanation:
To determine how many players will remain after 6 rounds in a chess tournament that starts with 1024 players, we recognize this as a process of successive halving. If each round eliminates half the players, then after each round, the number of players will be:
After Round 1: 1024 / 2 = 512 playersAfter Round 2: 512 / 2 = 256 playersAfter Round 3: 256 / 2 = 128 playersAfter Round 4: 128 / 2 = 64 playersAfter Round 5: 64 / 2 = 32 playersAfter Round 6: 32 / 2 = 16 playersTherefore, 16 players will remain after 6 rounds in the tournament. Referring to the classic story of the king and the chessboard, when grains of rice are doubled on each square, the final total is one less than [tex]2^{64[/tex] grains. Without adding it all up, we can say this final number is [tex]2^{64[/tex] - 1 grains of rice.
Which number represents 2.7 billion? A) 2,700,000,000 B) 2,700,000 C) 27,000,000,000 D) 27,000,000
Answer:
A.
Billions have three groups of zeros
Ex. 1,000,000,000
What is 508 times 82 in math answer clear please and I really need help with math but thank you I will use this website more often (:
Answer:
508*82 is 41656
Step-by-step explanation:
For a party, Maria pours 5 glasses of juice that each measure of a cup. Collin pours another 6 glasses, also with of a cup of juice each. Which mixed number is equal to the total amount of juice in all the glasses?
Final answer:
To find the total amount of juice in all the glasses, add the amounts poured by Maria and Collin. Maria pours 1 ¼ cups of juice and Collin pours 1 ½ cups of juice, so the total amount is 2 ¾ cups.
Explanation:
To find the total amount of juice in all the glasses, we need to add the amounts poured by Maria and Collin. Maria pours 5 glasses of juice, each measuring ¼ of a cup. So Maria pours a total of 5 x ¼ = 1 ¼ cups of juice. Collin pours 6 glasses, also with ¼ of a cup of juice each. So Collin pours a total of 6 x ¼ = 1 ½ cups of juice. To find the total amount of juice in all the glasses, we add 1 ¼ cups and 1 ½ cups, which gives us a total of 2 ¾ cups of juice.
PLEASE HELP!! Algebra 2 Review !!
1. What is the equation, in standard form, of a parabola that models the values in the table?
x | -2 0 4
f(x) | 2.5 1.5 -60.5
(I used STAT on the calculator, and found the answer, nevermind on this one)
2. Simplify the expression.
[tex] \frac{5 + 6i}{4 + 6i} [/tex]
Answer:
[tex]\frac{28-3i}{26}[/tex]
Step-by-step explanation:
For #2, remember that [tex]i=\sqrt{-1}[/tex], so [tex]i^{2}=-1[/tex] Also, (a+b)(a-b), where a and b are any numbers, (a+b)(a-b)=[tex]a^2-b^2[/tex]. Now, to simplify, or radicalize, a number with surds in the denominator, you have to multiply the denominator by its conjugate. If there is a complex number [tex]a+bi[/tex], where a and b are any numbers, the conjugate is always [tex]a-bi[/tex]. Lets apply these rules. The conjugate of 4+6i is 4-6i, so do this:
[tex]\frac{5+6i}{4+6i}=\frac{(5+6i)(4-6i)}{(4+6i)(4-6i)}=\frac{20+24i-30i+36}{16+36}=\frac{56-6i}{52}=\frac{2(28-3i)}{2(26)}=\frac{28-3i}{26}[/tex]
Our answer is (28-3i)/(26)!
The equation for distance is d = st. If a car has a speed of 17 m/s, how long will it take to go 20 m?
A. 1.2s
B. 2.9 s
C. 3 s
D. 37 s
Answer:
A) 1.2 seconds
Step-by-step explanation:
According to the formula, distance is equal to speed multiplied by time. So 17 times 1.2 = 20.4, assuming they are rounding down that equals 20. Hope this helps :)
Need help please this is overdue,confused on what im supposed todo and how
Answer:
See below.
Step-by-step explanation:
You're supposed to follow directions. That means you examine the figure to see if it contains information that will justify the offered statement. You are not to make any assumptions based on appearances.
1. AE║BC — false. There is nothing in the diagram that shows AE to be perpendicular to AB, and there are no markings indicating AE║BC.
2. AB⊥BC — true. The right-angle mark where the segments meet at point B indicates these segments are perpendicular.
3. m∠ECB=90° — false. There is nothing in the diagram that shows EC to be perpendicular to BC, and there are no markings indicating EC║AB.
4. ∠BEC is supplementary to ∠ECB — false. These are two of three interior angles of ΔBCE. There is nothing to indicate that the third angle, ∠CBE, has a measure of 0°.
5. C is the midpoint of BD — false. BC is not marked as being congruent to CD.
6. ∠BCE and ∠ECD are a linear pair — true. Point C is on line BD, so segment EC divides ∠BCD into a linear pair.
7. ∠ABE is complementary to ∠EBC — true. Together these angles form right angle ABC, so they are complementary.
A forest covers 41,000 acres. A survey finds that 0.4?% of the forest is? old-growth trees. How many acres of? old-growth trees are? there?
Answer: A forest covers 41,000 acres. A survey finds that 0.4?% of the forest is? old-growth trees. How many acres of? old-growth trees are? there?
Alrighty, let me help you out, make things easier! The ANSWER is going to be 24,600, by this process, just take 41,000 and multiply that by 0.4. that gives you 16400, and since you are trying to find a portion of the forest, you subtract 16400 from 41,000 total acres. Hope that helps!
I need help with #8 and #9 Please! :)
I will mark as brainliest!
Answer:
see explanation
Step-by-step explanation:
(8)
the common ratio r, of a geometric sequence is
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{a_{3} }{a_{2} }[/tex] = ......
r = [tex]\frac{\frac{1}{32} }{\frac{1}{256} }[/tex] = [tex]\frac{\frac{1}{4} }{\frac{1}{32} }[/tex] = 8
(9)
The simplest way to evaluate the sum is to substitute k = 3, 4, 5, 6 into each term and sum them
(- 9 + 20) + (- 12 + 20) + (- 15 + 20) + (- 18 + 20)
= 11 + 8 + 5 + 2 = 26
Liam is setting up folding chairs for a meeting. If he arranges the chairs in 6 rows of the same length, he has 9 chairs left over. If he arranges the chairs in 4 rows of that same length, he has 13 left over. How many chairs does Liam have?
Cedric can buy 3 songs for $3.60 or 4 songs for $4.80. How much do you think he would pay for 5 songs?
A) $5.80
B) $6.00
C) $6.20
D) $6.40
Answer:
B) $6.00
Step-by-step explanation:
well divide 3.60 and you get 1.20
and the same for 4.80 divided by 4
so it be 1.20 times 5= he pays
To find out how much Cedric would pay for 5 songs, we divide the total cost by the number of songs and then multiply it by 5. Cedric would pay $6.00 for 5 songs.
Explanation:To find out how much Cedric would pay for 5 songs, we first need to determine the cost per song. From the given information, we can see that the cost of 3 songs is $3.60 and the cost of 4 songs is $4.80. To find the cost per song, we can divide the total cost by the number of songs.
Cost per song = Total cost / Number of songsCost per song for the 3 songs = $3.60 / 3 = $1.20Cost per song for the 4 songs = $4.80 / 4 = $1.20Since the cost per song is the same for both sets of songs, we can conclude that Cedric would pay $1.20 for each song. Therefore, for 5 songs, he would pay 5 x $1.20 = $6.00.
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PLEASE HELP!!
A sequenced is defined by an=-3/4an-1, and a3=9/16. What is the seventh term?
Answer:
[tex]a_{7}[/tex] = [tex]\frac{729}{4096}[/tex]
Step-by-step explanation:
To obtain the next term in the sequence multiply the previous term by - [tex]\frac{3}{4}[/tex]
given [tex]a_{3}[/tex] = [tex]\frac{9}{16}[/tex], then
[tex]a_{4}[/tex] = - [tex]\frac{3}{4}[/tex] × [tex]\frac{9}{16}[/tex] = - [tex]\frac{27}{64}[/tex]
[tex]a_{5}[/tex] = - [tex]\frac{3}{4}[/tex] × - [tex]\frac{27}{64}[/tex] = [tex]\frac{81}{256}[/tex]
[tex]a_{6}[/tex] = - [tex]\frac{3}{4}[/tex] × [tex]\frac{81}{256}[/tex] = - [tex]\frac{243}{1024}[/tex]
[tex]a_{7}[/tex] = - [tex]\frac{3}{4}[/tex] × - [tex]\frac{243}{1024}[/tex] = [tex]\frac{729}{4096}[/tex]
Answer:
D
Step-by-step explanation:
E2020
You Havel 48.50 in the bank and your friend has $1.00 your allowance is 9.50 per week and your friend gets twice as much. After how many weeks do u have the same amount
Answer:
4 weeks
Step-by-step explanation:
Final answer:
After 5 weeks, you and your friend will have the same amount.
Explanation:
To find out after how many weeks you and your friend will have the same amount, we need to set up an equation and solve for the number of weeks. Let's assume the number of weeks is represented by 'w'.
Your balance in the bank after 'w' weeks can be represented by the expression: 48.50 + 9.50w. Your friend's balance after 'w' weeks can be represented by the expression: 1 + 2(9.50w). We want to find out when these two balances are equal, so we set up the equation: 48.50 + 9.50w = 1 + 19w.
Solving this equation, we get:
48.50 + 9.50w = 1 + 19w
48.50 - 1 = 19w - 9.50w
47.50 = 9.50w
w = 47.50/9.50
w = 5
After 5 weeks, you and your friend will have the same amount.
a skateboard rises 2ft for every 7ft, measured horizontally. what is the slope?
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!
Choose the correct formula for the function g.
Answer: C
Step-by-step explanation:
g(x) has the following transformations:
1. horizontal shift to the right 3 units --> 2ˣ⁻³
2. vertical shift up 2 units --> 2ˣ⁻³ + 2
Calculate s4 for the sequence defined by
Answer:
The correct answer option is 36.
Step-by-step explanation:
We know that,
the sum of the first n terms of an Arithmetic Sequence is given by:
[tex]S_n=\frac{n(a_1+a_n)}{2}[/tex]
where [tex]n[/tex] is the number of terms,
[tex]a_1[/tex] is the first term of the sequence; and
[tex]a_ n[/tex]is the first term of the sequence.
So for [tex]a_n=(19-4n)[/tex],
[tex]a_1=19-4(1)=15\\\\a_4=19-4(4)=3[/tex]
Putting these values in the formula to get:
[tex]S_4=\frac{4(15+3)}{2}[/tex]
[tex]S_4=\frac{72}{2} \\\\S_4=36[/tex]
Therefore, the 4th term of the given sequence is 36.
Answer:
C is the correct one so 36 :)
At Pizza Pi 24% of the pizzas made last week had extra cheese. If 6 pizzas had extra cheese how many pizzas in all were made last week
Answer:
1.44
Step-by-step explanation:
NEED HELP 15 POINTS!!!!1
Answer: (D) ∠2 is supplementary to ∠8
Step-by-step explanation:
∠2 is congruent to:
∠3 vertical angles∠6 corresponding angles∠7 alternate exterior anglesTherefore, it is supplementary to the remaining angles:
∠1∠4∠5∠8The only multiple choice option that satisfies the above statements is the last one
A fence builder uses boards 3 1/2 feet long for the vertical slats on the fence. How many slats can be made from a board that is 42 feet long
Answer:
12 slats can be made from a board i,e 42 feet long
Step-by-step explanation:
As per the given statement: A fence builder uses boards [tex]3\frac{1}{2}[/tex] feet long for the vertical slats on the fence.
We have to calculate how many slats can be made from a board that is 42 feet long.
Builder uses board [tex]3\frac{1}{2} = \frac{7}{2}[/tex] feet long for the vertical slats.
then;
for 42 feet long = [tex]\frac{42}{\frac{7}{2} } = 42 \times \frac{2}{7} = 6 \times 2 = 12[/tex] slats can be made.
Therefore, 12 slats can be made from a board that is 42 feet long.
Charlie gathers apples pears and plums. The number of apples and plums are 10 partners, there are the same number of apples and pears. How many pieces of fruit could Charlie gather? On both answers given no one mentions the pears:/ and 10 partners means 5 apples and 5 plums because 5+5=10 plus 5 pears (10+5=15) 15 fruits. Does that sound right or am I missing something?
Answer: Yes, there is something missing.
Step-by-step explanation: Given that Charlie gathers apples pears and plums. The number of apples and plums are 10 partners, there are the same number of apples and pears.
Since there are 10 partners of apples and plums, so
number of apples = number of plums = 10.
Also, number of apples and number of pears are same, therefore, number of pears = 10.
Thus, total number of fruits = 10+10+10 = 30.
Hence, Charlie couls gather 30 fruits.
So, this was missing in the calculation.
Charlie can be made to gather more fruit by maximizing the number of
apples gathered which gives a total of 19 fruits.
Response:
The number of pieces of fruit Charlie could gather is 19Which method is used for solving the word problem?The question is a word problem
Number partners of 10 are numbers that add up to 10
Therefore;
The number of apples + The number of plums = 10
The number of apples = The number pears
Required:
The number of pieces of fruit Charlie could gather
Solution:
Let x represent the number of apples, gathered, we have the following equations;
The number of plums = 10 - x
The number of pears = x
Which gives;
Total number of fruit = x + 10 - x + x = 10 + x
Where;
1 ≤ x ≤ 9
The maximum number of fruit Charlie can gather is therefore, when x = 9, which gives;
Maximum number of fruit = 10 + 9 = 19Learn more about writing equations here;
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Sarah works as a waiter. She earns 15% in tips on meals served. This weekend, Sarah earned $172.50 in all. What is the dollar amount of the meals that Sarah served?
Answer:
$1150 amount of the meals that Sarah served.
Step-by-step explanation:
As given
Sarah works as a waiter.
She earns 15% in tips on meals served.
This weekend, Sarah earned $172.50 in all.
Let us assume that the x dollar amount of the meals that Sarah served .
15% is written in the decimal form.
[tex]= \frac{15}{100}[/tex]
= 0.15
Than the equation becomes
x × 0.15 = 172.50
Solving the above equation
[tex]x = \frac{172.50}{0.15}[/tex]
x = $1150
Therefore $1150 amount of the meals that Sarah served.
In two hours holden completed 3 fouths of his race how long will holden take to complete the entire race
You have to complete a sales record to the nearest 10 drinks. A total of 776 drinks have been sold. What number do you write in the sales record? ... Drinks?
Answer:
780 drinks
Step-by-step explanation:
round 776 to nearest more and it is 780 drinks
Answer:
The answer is 780, you round the number to the nearest 10th if it was 774 drinks answer would be 770
Step-by-step explanation: