Answer:
a) pattern a: 4,8,12,16,20
pattern b: -8,-16,-24,-32,-40
0,4, 8, 12, 16 are the five terms of pattern A and 0,-8, -16, -24, -32 are the five terms of pattern B and the relationship between both the patterns is linear.
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
For pattern A:
0, 0+4, 4+4=8, 8+4=12, and 12+4=16
I.e 0,4, 8, 12, 16 are the five terms of pattern A
For pattern B:
0, 0-8=-8, -8-8=-16, -16-8=-24, -24-8=-32
I.e 0,-8, -16, -24, -32 are the five terms of pattern B
The relationship between two patterns is linear
The relationship exist between two patterns because both sequences are arithmetic sequences
Hence, 0,4, 8, 12, 16 are the five terms of pattern A and 0,-8, -16, -24, -32 are the five terms of pattern B and the relationship between both the patterns is linear.
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Solve the Expression
x-3(5x-6)=3-10x
Find the value of "x"
Answer:
15/4 or 3.75
Step-by-step explanation:
x - 15 x + 18 = 3 - 10x
15 = 4x
x = 15/4 or 3.75
Uhm does anyone know the answers?
A B E
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...
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Answer:
Use the FOIL Method
Step-by-step explanation:
A: 5.9a + 2.2b
B: 5.9a + 5.6b
C: 5.9a - 5.6b
D: 5.6b - 5.9a
E: 5.9a - 5.6b (This is it’s simplest form)
So as you can C and E are equalivalent, so these are your answers.
Mark me brainliest if this was correct :)
Someone told me to get it done so im asking brainly
In the game 'rock, paper, scissors', both players make a fist with one hand. On the count of three, the players make either a rock (by keeping their hand in a fist), a sheet of paper (by holding their hand out flat), or a pair of scissors (by sticking out their first two fingers).
If both players make the same thing, it's a tie. If a rock and scissors are played, the rock wins. If scissors and paper are played, the scissors win. If paper and a rock are played, the paper wins.
a) Play at least 20 games of 'rock, paper, scissors' with a friend. Record the results as you go - write down who won, and what with.
b) After you've finished playing, organise your results into a table and use this to estimate some probabilities. Who was most likely to win? Were either of you more likely to play a certain object each time? Could you use this information to help you win more games next time?
If this is for a school assignment, not sure how someone else would record themselves playing rock paper scissors.
55. In a quality control procedure to test for defective light bulbs, two light bulbs are randomly selected from a large sample without replacement. If either light bulb is defective, the entire lot is rejected. Suppose a sample of 200 light bulbs contains 5 defective light bulbs. Find the probability that the sample will be rejected. (Hint: First calculate the probability that neither bulb is defective.)
word problems involving length and money
Answer: 21
Step-by-step explanation:
Norma has 10 black,12 white,and 3 brown pairs of socks in one drawer. What is the probability that without looking, Norma will pick a BROWN pair of socks from the drawer?
Answer:
1/100.
Step-by-step explanation:
Total number of socks in the drawer
= 25.
Prob(First pick is brown) = 3/25.
Prob(Second pick is brown) = 2/24 = 1/12.
So the required probability
= 3/25 * 1/12
= 3/300
= 1/100.
Answer:
Ok so the answer to this question would be 3/25
Step-by-step explanation:
The answer to the probability is always a fraction
The numerator is the number of favorable outcomes - in this problem, it is the brown socks
The denominator is the total amount of possible outcomes - in this problem, it is the total amount of socks
3/ 10+ 12 +3 = 3/25
- By the way, have your answer in simplest form - always
Plot the following points on the coordinate plane: Point A: (3, 5) Point B: (0, 3) Point C: (1, 8) Point D: (7, 2) Point E: (0, 9)
PLEASE HELP WILL GIVE BRAINLIEST (88 POINTS)
Answer:
I got you I saved the image and wrote on it :)
Step-by-step explanation:
just look at the image it has all the coordinates labeled.
PLEASE HELP ASAP
Please find the area of these two!!!!
Answer:
36,800
25
__________________________________________________________
Step-by-step explanation:
~This is how I usually do this normally.~
~4 x 5 x 10 x 23 x 8 = 36,800~
~5 x 5 = 25~
~Hope this helped!~
Answer:
I believe the first one is 125 cm squared and the second one is 175
Step-by-step explanation:
Pls tell me if I am wrong
Hope this helped ~( ̄▽ ̄)~
Write each amount as a rate.
a) A fast reader can read 500 words every minute.
b) Min did 13 chin-ups in 1 min.
c) A cheetah can run 70 km in 1 h.
d)When fighting a fire, a fire truck uses about 200 L of water every minute.
Answer:
Step-by-step explanation:
a)500w/m or 500wpm
c)70km/h
d)200L/m
couldn't work out b)
perimeter of a triangle (combine like terms)
Answer:
6x+3
Step-by-step explanation:
(x+4)+(3x-2)+(2x+1)
=x+4+3x-2+2x+1
=x+4+3x-2+2x+1 --> Here I'm just bolding the variables. This makes it easier to combine like terms in the next line.
=6x+4-2+1
=6x+3
14. Baraz deposited $2,500 into his bank account. The bank paid interest of 4% per year. How much interest will he have earned at the end of the year?
Answer:
100Step-by-step explanation:
Baraz deposited $2,500 into his bank account. The bank paid interest of 4% per year. How much interest will he have earned at the end of the year?
2500 : 100 * 4 = 100
Ethan has a small coin collection. Nine of his coins he collected from traveling. Six of his coins he received from friends.
What is the ratio of coins he collected from friends to the total coin in Ethan's collection?
9:6
1:5
2:3
2:5
Answer:
9:6
Because he collected 9 coins in total, and 6 from friends, so this would be the right ratio.
12 ÷ (6 - 2) + 2^3
plaese help me out
Answer:
11.
Step-by-step explanation:
Answer:
11.Step-by-step explanation:
This is step by step:
Step 1:
Solve parenthesis:
12 ÷ (6 - 2) + 2³= 12 ÷ 4 + 2³Step 2:
Solve 12 ÷ 4:
12 ÷ 4 + 2³= 3 + 2³Step 3:
Solve final equation:
3 + 2³= 3 + 8= 11.Final answer is 11.
Solve for x and please show all work
Answer:
5
Step-by-step explanation:
So you cross to find X
10x -2 = 5x + 35x = 1x=5Let me know if you have any other questions!
Brainliest, help me! Thanks queen!!
What is an equivalent fraction for the following fraction?
5/15
Options:
A.1/4
B.1/5
C.1/3
The equivalent fraction for 5/15 is 1/3
What are equivalent fractions?Equivalent fractions are fractions with different numbers representing the same part of a whole. They have different numerators and denominators, but their fractional values are the same. For example, think about the fraction 1/2.
vEASONING Consider the stem-and-leaf plot shown.
Stem Leaf
0 2 3
1
2 1 6
3 0 4 6
4 4 5 8 8 9
Key: 4 | 8 = 48
a. How many data values are at most 10?
Number of data values:
Question 2
b. How many data values are at least 30?
Number of data values:
Question 3
c. How are the data distributed?
Answer:
5 is the answer
Which fraction is represented on the number line?
Answer:
The answer is [tex]\frac{4}{8}[/tex] (see the attached picture)
Step-by-step explanation:
the distance between 0 & 1 is divided into 8 sections, meaning each section = [tex]\frac{(1-0)}{8} =\frac{1}{8}[/tex]
please help! I will give brainliest
The members of the gardening group plan to build a walkway through the garden as formed by the hypotenuse of each of the four triangles in the drawing. That way, the gardeners will be able to access all sections of the garden. Calculate the length of the entire walkway to the nearest hundredth of a yard. Show your work. (4 points—1 point for each length calculation and 1 point for the total distance)
Is the value you just wrote for the total length of the walkway a rational or irrational number? Explain. (2 points)
Answer:
1) The length of the entire walkway to the nearest hundredth of a yard is 50.24 yds
2) 50.24 is a rational number
Step-by-step explanation:
1) To calculate the length of the walkway, you need to find "b"
the value of b using the Pythagoras theorem can be written as,
D²=12²+b²
15²=12²+b²
225=144+b²
b²=81
b=9
the value of each of the four hypotenuses can be written as,
A = [tex]\sqrt{12^2+8^2}[/tex] = [tex]\sqrt{208}[/tex] = 14.422
B = [tex]\sqrt{6^{2} +8^{2} }[/tex] = [tex]\sqrt{100}[/tex] = 10
C = [tex]\sqrt{6^2+9^2}[/tex] = [tex]\sqrt{117}[/tex] = 10.82
D = 15
Adding the value of all the hypotenuse to get the length of the walkway, therefore, the length will be,
14.422 + 10 + 10.82 + 15 = 50.24
So, the entire walkway to the nearest hundredth is 50.24
2) Because Irrational numbers are ones that never end.
50.24 is a nice, round number, even though its a decimal.
Answer:
50.24 - rational number
Step-by-step explanation:
The average age of 7 boys who attend school school is 9 years. If the average age of 4 of the boys is 12 years, find the average age of the remaining boys.
Step-by-step explanation:
The average age of 29 % boys who attend school.
Answer: The average age of 6 students is 11 years. If two more students of age 14 and 16 years join, their average.
Step-by-step explanation:
The table shows the number of students playing different games at recess. What is the relative frequency of students playing 4-square? Express your answer as a fraction in simplest form.
Answer:4/25
Step-by-step explanation: add the frequency together making it 50 then put the frequency u want (8) and divide by the total (50) making it 16 covert it into fraction it 4/25. ( i hope I got it right but tell me if I'm wrong ill try again)
36. Find the sum of the infinite geometric series if it exists.
1+\frac{3}{2}+\frac{9}{4}+\frac{27}{8}+\cdots
Answer:
[tex]=2\times \left( \frac{3}{2} \right)^{n+1} -2[/tex]
Step-by-step explanation:
[tex]1+\frac{3}{2} +\frac{9}{4} +\frac{27}{8} +\cdots[/tex]
[tex]=1+\left( \frac{3}{2} \right)^{1} +\left( \frac{3}{2} \right)^{2} +\cdots +(\frac{3}{2})^n[/tex]
[tex]=\frac{1-\left( \frac{3}{2} \right)^{n+1} }{1-\frac{3}{2} }[/tex]
[tex]=-2\times \left( 1-\left( \frac{3}{2} \right)^{n+1} \right)[/tex]
[tex]=2\times \left( \left( \frac{3}{2} \right)^{n+1} -1\right)[/tex]
This table represents a proportional relationship between x and y. What is the constant of proportionality? Give your answer as a decimal rounded to the nearest hundredth.
x = 0.2, 0.4, 0.6, 0.8
y = 0.25, 0.5, 0.75, 1.0
Answer:
200
Step-by-step explanation:
Joseph earned $53 the first week he worked at Jim’s Candy Store and $62 the next week.
How much did Joseph earn his first two weeks?
please help it is for an Assignment
Answer:
115
Step-by-step explanation:
you just add the first week money and the second week money then you get your answer
Of the following situations, which one involves combining opposite quantities to make zero?
Answer:
d
Step-by-step explanation:
if Emma makes 12 cupcakes and her friends eat them all, she now has 0 cupcakes.
The measure of ∠4 is 25 degrees greater than one-fourth of the measure of ∠1. Find the measure of each of the four angles formed by the intersecting lines.
Answer:
1^ = 155°
^2 = 25°
^3 = 155°
Step-by-step explanation:
^1 + ^4 = 180° { sum of angles in straight line are equal to 180°}
^1+^2 = 180°{sum of angles in straight line are equal to 180°}
^3+^4=180°{sum of angles in straight line are equal to 180°}
A lawn sprinkler sparys water 6 feet in all directions as it rotates
Find the area of the lawn that the sprinkler covers. use 3.14 for π
A 113.04²
B 37.68²
C 678.24²
D 18.84²
Answer:
(A) 113.04^2
Step-by-step explanation:
Area of a circle is found with: πr^2
in this we will replace π with 3.14
the radius is 6feet
first step: 6^2 = 36
second step: 3.14*36= 113.04^2
the scoop of an excavator holds 26 ft³of sand. if the capacity of a freight car is 39 tons of sand and we know that 1 ft³ of sand weighs 0.05 ton how many freight cars can be filled with 120 scoops?
Answer:
4!
Step-by-step explanation:
its 0.05 not 0.5! instead of it being 40, its 4
4 freight cars can be filled by 120 scoops of excavator having a total mass of 156 tons and a volume of 3120 ft³.
What do we mean by volume or capacity of a substance?In three-dimensional space, volume refers to the entire amount of space occupied by an item. Capacity refers to an object's capacity to contain, absorb, or accept anything (such as a solid material, gas, or liquid).
What do we mean by the mass of a substance?The amount of matter in a substance or object is measured by its mass.
How do we solve the given question?In the question, we are given that the scoop of an excavator holds 26 ft³of sand.
We are asked if the capacity of a freight car is 39 tons of sand, then how many freight cars can be filled with 120 scoops.
We are also informed that 1 ft³ of sand weighs 0.05 tons.
We first find the mass of sand in one scoop of an excavator.
The volume of sand in one scoop of an excavator = 26 ft³.
Mass of 1 ft³ of sand = 0.05 tons.
∴ Mass of 26 ft³ of sand, that is, the mass of sand in one scoop of an excavator = 26*0.05 tons = 1.3 tons.
∴ Mass of 120 scoops = 120*1.3 tons = 156 tons.
The capacity of one freight car = 39 tons
∴ Number of freight cars in 156 tons = 156/39 = 4.
∴ 4 freight cars can be filled by 120 scoops of excavator having a total mass of 156 tons and a volume of 3120 ft³.
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The two dot plots below compare the forearm lengths of two groups of schoolchildren:
Based on visual inspection of the dot plots, which of the following groups appears to have the longer average forearm length?
A. Group A, because no child in the group has a forearm length longer than 11 inches
B. Group B, because two children have a forearm length longer than 11 inches
C. Group A, because three children in the group have the least forearm length of 9 inches
D. Group B, because a child in the group has the least forearm length of 9 inches
Answer:
The correct option is B.
Step-by-step explanation:
From the given dot plot we can say that 3 children have 9 in. long forearm, 4 children have 10 in. long forearm and 3 children have 11 in. long forearm.
The average of length of forearms of Group A is
The average of length of forearms of Group A is 10 inches.
From the given dot plot we can say that 3 children have 10 in. long forearm, 5 children have 11 in. long forearm and 2 children have 12 in. long forearm.
The average of length of forearms of Group B is
The average of length of forearms of Group B is 10.9 inches.
10.9>10 it means Group B has longer average forearm length. It is true because two children have a forearm length longer than 11 inches.
Therefore the correct option is B.
Inequalities (PLEASE HELP)
Answer:
1a. x is less than or equal to -4
1b. closed circle since its equal to -4
1c. attached image, closed circle on -4 connected to arrow pointing left
2a. x is greater than or equal to -1
2b. closed circle since its equal to -1
2c. attached image, closed circle on -1 connected to arrow pointing right
3a. x is less than 4
3b. open circle since its NOT equal to 4
3c. attached image, open circle on 4 connected to arrow pointing left
Answer:
Answers below! Hope this helps
Step-by-step explanation:
1)
a. x is less than or equal to negative 4
b. closed circle
c. draw a closed circle on -4 and connect a one sided arrow to the point. This arrow will be going to the left since each of the values to the left of negative 4 are less than negative 4.
2)
a. x is greater than or ewual to negative 1
b. closed
c. draw a clsoed circle on -1 and connect a one sided arrow to the point. This arrow will be going to the right since each of the values towards the right of negative 1 are larger than negative 1.
3)
a. x is less than 4
b. open circle
c. draw an open circle on 4 and connect a one sided arrow to the point. This arrow will be going towards the left because each of the values to the left of 4 are less than 4.