Answer:
247
Step-by-step explanation:
1,4,11,26,57,120. see the pattern that emerges from the series:
4–1 = 3; 3–1 = 2 = 2^1
11–4 = 7; 7 - 3 = 4 = 2^2
26 - 11 = 15; 15 - 7 = 8 = 2^3
57 - 26 = 31; 31 - 15 = 16 = 2^4
120 - 57 = 63; 63 - 31 = 32 = 2^5
so the next number should be 64+63 = 127+120 = 247.
check: 247–120 = 127; 127–63 = 64 = 2^6. correct.
so the next number is 247. 2^n+(n-1)
Given sequence;
1, 4, 11, 26, 57, 120, _
The missing term =?
Solution;
We need to find the relationship between each term and then we can find the missing term;
1, 4, 11, 26, 57, 120, _ ;
let us start with the first two;
3 x 2 + 1 = 7 + 4 = 11
7 x 2 + 1 = 15 + 11 = 26
15 x 2 + 1 = 31 + 26 = 57
31 x 2 + 1 = 63 + 57 = 120
63 x 2 + 1 = 127 + 120 = 247
We see this pattern and can conclude that the missing term is 247
help pls asap fjfnfnffjfk
What is the sum of 821 and 153?
A certain species of fish costs $3.99 each. You can spend at most $45. How many of this type of fish can you buy for your aquarium?
Answer:
Since we can't buy 0.68 of a fish and our number must be less than 13.68, we can buy 13 fish.
Step-by-step explanation:
3.29f ≤ 45
3.29f/3.29 ≤ 45/3.29
f ≤ 13.68
answers to unit 1 geometry basics homework 4 angle addition postulate
Answer:
EF = 58
Step-by-step explanation:
Find the diagram of the question attached.
According to the addition postulate;
DE+EF = DF
Given
DE = 47
EF = 3x+10
DF = 9x-39
Substitute into the addition postulate formula and get x
47+3x+10= 9x-39
Collect like terms
3x-9x = -39-10-47
-6x = -96
x = -96/-6
x = 16
Next is to evaluate EF:
EF = 3x+10
EF = 3(16)+10
EF = 48+10
EF = 58
Hence the measure of EF is 58
1 ≤ x + 7 < 7
explain how u got the answer plz
Answer:
-6 ≤ x < 0
Step-by-step explanation:
Subtract the 7 on both sides to get x isolated.
Answer:
-6 ≤ x < 0
Step-by-step explanation:
This is the answer because:
1) First, we have to isolate the x
2) In order to isolate the x, you have to subtract 7 from 1 and 7
1 - 7 = -6
7 - 7 = 0
Therefore, the inequality is -6 ≤ x < 0
Hope this helps! :D
Greg and Marti are racing remote control cars. The race starts at t=0 and the cars distance is measured from the start line. Both cars have a constant rate of change. Information about each of the cars during the race is shown below.
Answer:
Marti is the winnerStep-by-step explanation:
Continuation of question:The race was over after 10 seconds. The winner of the race is defined by the person who is farthest from the start line. Whose car should be crowned the winner? Use mathematics to justify your answer.Table is attached SolutionGreg
Speed = 13 ft/sStart point = 30.7 ft from start line after 2 secondsDistance from start line after 10 seconds:
30.7 + 13*(10 - 2) = 30.7 + 13*8 = 30.7 + 104 = 134.7 ftMarti
Speed = 16.5 ft/sStart point = 2 ft from start lineDistance from start line after 10 seconds:
2 + 10*16.5 = 2 + 165 = 167 ftComparing distances from the start line, 134.7 ft vs 167 ft, Marti is farthest from the start line and he is the winner.
True or false?
You can use the reciprocal of the dividend or the divisor.
Either one is ok, as long as you flip a
fraction upside down.
NEED ASAP
Answer:
False It has to be the divisor/ the second fraction.
Step-by-step explanation:
Please solve this question.
Let numerator of fraction be x and denominator be y.
∴ Fraction = x/y
★ Part - A :
[tex]:\implies\tt\:\dfrac{x\times 4}{y-2}=2[/tex]
[tex]:\implies\tt\:4x=2(y-2)[/tex]
[tex]:\implies\tt\:4x=2y-4[/tex]
[tex]:\implies\tt\:2y=4x+4[/tex]
[tex]:\implies\bf\:y=2x+2\:\:\dots (1)[/tex]
★ Part - B :
[tex]:\implies\tt\:\dfrac{x+15}{2y-2}=\dfrac{9}{7}[/tex]
[tex]:\implies\tt\:7(x+15)=9(2y-2)[/tex]
[tex]:\implies\tt\:7x+105=18y-18[/tex]
From equation (1)...
[tex]:\implies\tt\:7x+105=18(2x+2)-18[/tex]
[tex]:\implies\tt\:7x+105=36x+38-18[/tex]
[tex]:\implies\tt\:29x=105-18[/tex]
[tex]:\implies\tt\:x=\dfrac{87}{29}[/tex]
[tex]:\implies\boxed{\bf{x=3}}[/tex]
[tex]:\implies\tt\:y=2x+2[/tex]
[tex]:\implies\tt\:y=2(3)+2[/tex]
[tex]:\implies\boxed{\bf{y=8}}[/tex]
∴ Fraction = x/y = 3/8
Hope It Helps!Answer: 3/8
Step-by-step explanation:
Let x represent the numerator and y represent the denominator.
Equation 1: (4x)/(y - 2) = 2
4x = 2(y - 2) Cross Multiplied
4x = 2y - 4 Distributed
4x - 2y = -4 Subtracted 2y from both sides
Equation 2: (x + 15)/(2y - 2) = 9/7
9(2y - 2) = 7(x+15) Cross Multiplied
18y - 18 = 7x + 105 Distributed
-7x + 18y - 18 = 105 Subtracted 7x from both sides
-7x + 18y = 123 Added 18 to both sides
Solve the system of equations using Elimination Method:
EQ1: 4x - 2y = -4 → 9(4x - 2y = -4) → 36x - 18y = -36
EQ2: -7x + 18y = 123 → 1(-7x + 18y = 123) → -7x + 18y = 123
29x = 87
÷29 ÷29
x = 3
Substitute x = 3 into either equation to solve for y:
EQ1: 4x - 2y = -4
4(3) - 2y = -4
12 - 2y = -4
-2y = -16
y = 8
The numerator (x) = 3
The denominator (y) = 8
The fraction is: 3/8
Which of the following is equal to 16x^-144
Answer:x-9
Step-by-step explanation:
Simplifying
Solving for variable
Move all terms containing x to the left all other terms to the right
Devide each side by 16
X=9
What’s the unit rate of the ratio 64:16
Answer:4
Step-by-step explanation:
This is a fraction equal to
64 miles ÷ 16 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 16
If f(x)= x^2 and g(x)= x-5 what is f(g(x)) ?
Answer:
(x-5)^2
Step-by-step explanation:
question: What is the slope of the line?
Answer:
4/5
Step-by-step explanation:
If you look at the point (-2,0) you can see that it sits directly on the line above 2. If you also at the point (3,4) you can see that its also sitting directly in the middle, where the line runs through it. Using this information we can use Rise/Run.
Rise/Run = Y/X
from (-2, 0) you rise 4 and you run 5 to the right to land on (3,4).
This is one of many ways you can calculate The slope from a graph!
Hope this helps! :)
is the equation y=1/5x+2 is changed to y=1/5x-4, how will graph the line change
Answer:
The answer to this problem is:
It will shift down 6 units
Step-by-step explanation:
not only have the y-intercept(s) change but also where they are positioned, this is shown in the graphs below.
The graph of the line will shift down by 6 units when the equation y = 1/5x + 2 is changed to y = 1/5x - 4 (option b).
To compare the two equations, y = (1/5)x + 2 and y = (1/5)x - 4, we can focus on their y-intercepts. The y-intercept of the first equation is 2, and the y-intercept of the second equation is -4.
When the y-intercept changes from 2 to -4, the graph will shift vertically. The y-coordinate is decreasing from 2 to -4, which means the graph will shift down by 6 units.
Therefore, the correct answer is:
B) It will shift down 6 units.
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helpppp! please i NEED this quick
Answer:
Associative property of addition
Step-by-step explanation:
This is because the associative property of addition states that changing the grouping of addens does not change the sum. In other words, if you rearrange the sums of a expression, the result should remain the same.
Answer:
associatice property of addition
Step-by-step explanation:
- 18 = 10 + x
Solve in steps pls
Answer:
x = -28Step-by-step explanation:
Equation
-18 = 10 + x → Change the x and 10, changing their sign to the opposite:
-x = 10 + 18 → Sum:
-x = 28 → Change the position of the minus sign:
x = -28
Hope this helps!
Good studies! ☺
Answer: -18 = 10 + x | x = - 28
Step-by-step explanation: do the inverse operation by subtracting. -28 - -10 = -18. x = -18
HELP!!! Last month, there were 4 sunny days for every rainy day. If there were 30 days in the month, how many days were rainy? Explain your reasoning. If you get stuck, consider using a tape diagram.
Answer:
6
Step-by-step explanation:
Based on the ratio of sunny days to rainy days last month, there would have been 6 rainy days.
For every 4 sunny days, there is 1 rainy day. This means that every 5 days, one of those days will be rainy and 4 will be sunny.
We can therefore represent that as:
= 1/5 of any number of days will be rainy
If there are 30 days therefore, 1/5 of those 30 days will be rainy:
= 1/5 x 30
= 6 days
In conclusion, 6 days will be rainy out of 30 days.
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In ΔRST, the measure of ∠T=90°, the measure of ∠S=75°, and ST = 97 feet. Find the length of TR to the nearest tenth of a foot.
9514 1404 393
Answer:
TR = 362.0 ft
Step-by-step explanation:
The tangent relation is useful for this.
Tan = Opposite/Adjacent
tan(75°) = TR/ST = TR/(97 ft)
TR = (97 ft)(tan(75°))
TR ≈ 362.0 ft
what is the correct expression for the absolute value 8
Find the area of the given figure.
Answer:
not enough information
Write an equation in slope-intercept form!!!
Answer:
A. y = 7/3x + 2
Step-by-step explanation:
14x = 6y - 12
14x + 12 = 6y
y = 7/3x + 2
HOPEFULLY THIS IS NOT BLURRY PLZ HELP ME
Answer:
a. 4 b.15 c. 26. d.30
Step-by-step explanation:
i had this problem and i have the paper and i got it right so if they are wrong then i have no clue
Answer:a. 4 b.15 c. 26. d.30
Step-by-step explanation:
Hope it helps
Which describes the triangles? Use the ruler and protector to solve
The steps to convert 23/4 to decimal are shown below.
In what step is the first error?
A. Step One
B. Step Two
C. Step Three
D. Step Four
Solve for x.
-2(x + 1/3) +9x = 4
Enter your answer as a fraction in simplest form in the box.
X =
Pls help
Answer:
x= 2/3
Step-by-step explanation:
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Maria cut 3/4 yard of ribbon into pieces that are 1/8 yard long. How many pieces of ribbon did Maria cut? don't be a b.*.t.c.h. and not solve it
===============================================
Explanation:
3/4 = 6/8 after multiplying top and bottom of the fraction by 2
She has 6/8 of a yard of ribbon.
If she cuts the ribbon into pieces of 1/8 of a yard each, then she has 6 pieces overall
We can see this if we solve the equation (1/8)x = 6/8. Multiply both sides by 8 to get x = 6.
The number of pieces of ribbon that Maria cut is 6 pieces.
Given,
Maria cut 3/4 yards of ribbon into pieces that are 1/8 yard long.
We need to find how many pieces of ribbon Maria cut.
How do we divide two fractions?We multiply one fraction with the reciprocal of the other fraction.
Example:
a/b ÷ c/d
= a/b x d/c
= ad/bc
We have,
The total length of the ribbon = 3/4 yards
The length of each piece cut from the ribbon = 1/8 yards.
The number of pieces that can be cut:
= 3/4 ÷ 1/8
= 3/4 x 8/1
= 3x8 / 4x1
= 24 / 4
= 6
Thus the number of pieces of ribbon that Maria cut is 6 pieces.
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Fernando evaluated the expression below. StartFraction 5 (9 minus 5) over 2 EndFraction + (negative 2) (negative 5) + (negative 3) squared = StartFraction 5 (4) over 2 EndFraction minus 10 + 9 = StartFraction 20 over 2 EndFraction minus 10 + 9 = 10 minus 10 + 9 = 9. What was Fernando's error?
Answer:
Fernando incorrectly found the product of –2 and –5.
Step-by-step explanation:
Fernando evaluated the numerator of the fraction incorrectly.
Fernando simplified StartFraction 20 over 2 EndFraction incorrectly.
Fernando incorrectly found the product of –2 and –5.
Fernando evaluated (negative 3) squared incorrectly.
Fernando's calculation
5(9-5) / 2 + (-2)(-5) + (-3)^2
= 5(4) / 2 - 10 + 9
= 20/2 - 10 + 9
= 10 - 10 + 9
= 9
Correct calculation
5(9-5) / 2 + (-2)(-5) + (-3)^2
= 5(4) / 2 + (10) + 9
= 20/2 + 10 + 9
= 10 + 10 + 9
= 29
Therefore,
Fernando's error was multiplying (-2)(-5) to be equal to -10 instead of 10
Fernando incorrectly found the product of –2 and –5.
Answer:
C is correct answer
Step-by-step explanation:
The answer is a plane
Answer:
bruh
Step-by-step explanation:
hElP mE plS anD ty I hAd tO rEpoSt thiS :')
Answer:
1: below its initial height.
2: if Jimmy has 20 balls and Chris take 15,how many balls does Jimmy have?
3: I would want Mrbeast to be the President because he would help everyone.
Which of the following expresses 16 + 36 by using the GCF of the two numbers?
4(4 + 9)
4(4 + 32)
8(2 + 28)
8(8 + 28)
Plz Help Me
Answer:
4(4+9)
Step-by-step explanation:
If you distribute(multiply) the 4 within the parentheses it'll equal 16+36.
we went to a strip club. there were 13 people there now there is 18 how many people came in between that time frame
Answer:
5 people came between that time frame
Step-by-step explanation: