Number Theory- Find all sets of the two consecutive positive integers with a sum that is at least 8 and less less than or equal to 24.
Answer:
Step-by-step explanation:
Let the smaller number = x
Let the larger number = x + 1
(4,5)
(5,6)
(6,7)
(7,8)
(8,9)
(9,10)
(10,11)
(11,12)
Find the balance of an account after 7 years if &700 is deposited into an account paying 4.3% interest compounded monthly.
The required balance is $939.9
Given,
Time=7 years
Principal=700
Rate=4.3%
Compound Intrest:
Compound interest (or compounding interest) is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.
The formula of the compound interest is,
[tex]A=P(1+\frac{r}{100})^T[/tex]
Now, substituting the given values into the above formula we get,
[tex]A=P(1+\frac{r}{100})^T \\A=700(1+\frac{4.3}{100})^7\\ A=939.9[/tex]
Learn More about Compound Intrest:
https://brainly.com/question/21072972
Susie has 26 baskets of apples. Each basket can hold 12 apples. Can Susie fit all her apples in her baskets?
Answer: Yes, Susie can fit all her apples in her baskets.
Step-by-step explanation: If she has 26 baskets filled of apples and can hold 12 apples each, then she can fill 2 baskets with apples and have a remainder of 2 apples left.
Please help me with all, I will mark brainliest as long as u tell me how u got those answers
say periodt as many times as you can will give brainly
Answer:
periodtperiodtperiodtperiodtperiodtperiodtperiodtperiodt
Step-by-step explanation:
periodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodteriodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodttperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodteriodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodteriodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodttperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodteriodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodteriodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodttperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodteriodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodteriodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperdtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodttperioodtperiodtperiodtperi
Answer:
anna oooppppddpkddkjdjdfhjndjd-
Step-by-step explanation:
If the ordered pair (a, b) satisfies the inequality. y > x-4, three of these statements are
true. Which statement is NOT true?
Look at this coordinate plane
Which equation can be used to find the y-coordinate of point B?
y/1=23
y/2=56
y−1/2=4/6
y−1/2=y−5/4
Answer:
Hrmm
Step-by-step explanation:
Kyle spent 1/5 of his money on clothes. He had $120 remaining. What was the cost of the clothes Kyle bought? (Note: Express the answer as dollars.cents.)
Answer: 30 is the cost of clothes kyle bought.
Step-by-step explanation: Hope this helps!
what is tan 11pie divided by 6?
Answer:
1/6 tan(11 π) = 0
Alternate representations:
1/6 tan(11 π) = -1/6 cot((21 π)/2)
1/6 tan(11 π) = -1/6 cot((23 π)/2)
1/6 tan(11 π) = 1/(6 cot(11 π))
Step-by-step explanation:
Mr. Grove cut down in tree in his yard. He gave 1/3 of the tree to his neighbor and 1/6 of the tree to his brother. Mr. Grove kept the remaining portion. How much tree did he keep?
A. 1/3
B. 2/3
C. 1/2
D. 5/6
Answer:
1/2 or C
Step-by-step explanation:
1/3 = 2/6. 2/6 + 1/6 = 3/6. that leaves 1/2 left over
¿De qué forma calcularía Luisa la medida de la tira bordada?
Solve eight and four eighths minus five and five sixths.
(Giving extra points on this one)
A) two and twelve forty eighths
B) two and thirty forty eighths
C) three and one fourteenth
D) three and twelve fourteenths
(Here is an image if needed) :
Answer:
B: 2 32/48
Step-by-step explanation:
8 4/8 - 5 5/6
Turn to fractions:
8 4/8 = 68/8
5 5/6 = 35/6
Common denominator: 24
68 x 3 = 204
8 x 3 = 24
35 x 4 = 140
6 x 4 = 24
Set-up:
204/24 - 140/24
Solve:
64/ 24
Simplifying to Mixed Number:
64/24 = 8/3 = 2 2/3 = 2 32/48
Answer:
b
Step-by-step explanation:
This equation was solved incorrectly.
6x – 2(4x – 6) = 16
6x + 8x – 12 = 16
14x – 12 = 16
Step 1:
Step 2:
Step 3:
Step 4:
14x = 28
x=2
Which step contains the first error? Explain the error.
the 200th term of the arithmetic progression 10 97,94,91,.............is
Answer:
-500
Step-by-step explanation:
Given sequence;
97, 94, 91 ......
Unknown;
The 200th term of the sequence;
Solution:
Since we were given an arithmetic progression, we need to first find the common difference;
Common difference = second term - first term
= 94 - 97
= -3
To find the 200th term, we use the expression below;
Sn = a + (n-1)d
a is the first term
n is the nth term
d is the common difference
S₂₀₀ = 97 + (200 - 1 ) x -3 = -500
Find the midpoint of the line segment from (0,4) to (-1,3)
MIDPOINT=
Answer:
Midpoint = (-0.5, 3.5)
Step-by-step explanation:
Convert 40 miles per hour to feet per second.
Answer:
Step-by-step explanation:
58.6667
Answer:
The answer is 58.6667
2.1-?=1 1/2
Please answer this I don’t want to fail
hey, I wanted to know if anybody was kind enough to help me solve this! I'm super confused and I just don't know what to do. please help me, it'll mean a lot to me. actually
Answer:
The answer should be B
PLEASE HELP ASAP!!!!
Write the slope-intercept form of the equation of each line. Identify the slopes y-intercept
Answer:
19) slope=2 y-intercept is 1 equation is y=2x+1
20) slope=-4 y-intercept is 4 equation is y=-4x+4
21) slope=-1/3 y-intercept is -5 equation is y=-1/3x-5
22) slope=-2/3 y-intercept is -5 equation is y=-2/3x-5
23) slope=-8 y-intercept is is -4 equation is y=-8x-4
24) slope=5 y-intercept is -3 equation is y=5x-3
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
What is the answer for Expanding
2t(6t-3)
Answer:
Step-by-step explanation:
12t2 - 6t
need someone’s help with this please!!!
Answer:
Option 3
Step-by-step explanation:
Since lines a and b are intersecting, x+5=2x-5. Because they are vertical angles.
x+5=2x-5
2x-x=5+5
x=10
In a survey, of the voters support a particular referendum. If 40 voters are chosen at random, find the mean and variance for the number of voters who support the referendum.
This question is incomplete, the complete question is;
In a survey, 55% of the voters support a particular referendum. If 40 voters are chosen at random,
find the mean and variance for the number of voters who support the referendum.
Answer:
a) The Mean is 22
b) Variance is 9.9
Step-by-step explanation:
Given that;
55% of the voters support a particular referendum p = 0.55
q = 1 - p = 1 - 0.55 = 0.45
sample size n = 40
a)
Mean = sample size n × p
Mean = 40 × 0.55
Mean = 22
Therefore the Mean is 22
b)
Variance = n × p × q
so we substitute
Variance = 40 × 0.55 × 0.45
Variance = 9.9
Therefore the Variance is 9.9
You can run 10 miles in 80 minutes. How far can you run in 2.5 hours?
Answer:
18.75 miles
Step-by-step explanation:
1 hour = 60 minutes
2.5 Hours = 150 minutes
10 miles _____> 80 minutes
x_______> 150 minutes
x= ( 150 * 10) / 80
= 1500/80
x= 18.75 miles
easy
Answer:
Step-by-step explanation:
10 miles- 80 minutes
?- 150 minutes
1500+80x
X= 10.75 miles
There are 35 tickets in a bag and the ratio of winning tickets to losing tickets is 1 to 4. How many of each kind of ticket are in the bag
Answer: Number of winning tickets =7 and Number of losing tickets = 28 .
Step-by-step explanation:
Given: Total tickets = 35
The ratio of winning tickets to losing tickets = 1:4
Number of winning tickets = [tex]\dfrac{1}{1+4}\times35[/tex]
[tex]=\dfrac{1}{5}\times35\\\\=7[/tex]
Number of losing tickets = [tex]\dfrac{4}{5}\times35[/tex]
[tex]=4\times7=28[/tex]
Hence, Number of winning tickets =7 and Number of losing tickets = 28 .
Answer:
7 wining tickets and 28 losing tickets
Step-by-step explanation:
you have a bill of $56.40. find a 15% tip?
Answer:
$8.46
Step-by-step explanation:
15%=0.15
56.40(0.15)
8.46
46
26
х
х
X
х
A school received 46 iPads. The school library took 26 of the iPads and the rest were split equally among 4 teachers to use in their
classrooms. Using the strip diagram and the letter x to represent the unknown quantity, which equation could be used to find the
number of iPads each teacher received?
A)
4x = 46 - 26
B)
4x +46 +26
4x - 26 - 46
D)
4x = 26 + 46
Answer:
Step-by-step explanation:
so what you need to do is subtracked 26 with 46 then you get the ansewer 20 but after that you have to do 20 divided by 4 and you will get your answer.
A fast-food restaurant sold 54 burgers with cheese. If the ratio of burgers sold with cheese compared to without cheese was 9: 5, how many burgers did they sell total?
Answer:
Step-by-step explanation:
We can write an relationship for this as:
3
:
2
→
24
:
b
Where
b
is the number of burgers sold without cheese.
We can rewrite the relationship as an equation and solve for
b
:
3
2
=
24
b
2
3
=
b
24
24
×
2
3
=
24
×
b
24
48
3
=
24
×
b
24
16
=
b
b
=
16
The restaurant would of sold
16
burgers without cheese with the information provided in the problem.
4. The binomial 12x+15 is equivalent to
(1) 2(6x +15)
(3) 6(6x+9)
(2) 5(12x+3)
(4) 3(4x+5)
In the equation
2
3
x
=
10
, what is the value of x?
Answer:
23/10 or 15
Step-by-step explanation:
What is the value of 6a + 2b if a = 1 and b = 2?
Answer:
3a + 2b ; a=1, b =-2
3
(
1
)
+
2
(
−
2
)
(substitute the values of the variables)
From here on, it's just a matter of condensing down the numbers. Very straightforward, and easy points on tests and quizzes. You can do this in your head if you want, or you can just do it on your calculator (which is probably the best way to go as it's faster and more accurate).
3
+
(
−
4
)
(simplify)
3
−
4
=
−
1
So here, what we've proven is that in our given equation, if
a
=
1
and
b
=
−
2
, then it would yield us a product of
−
1
.
Once again, these types of evaluation problems are very straightforward, and are usually always easy points on tests and quizzes if you have an inkling of an idea of what the concept is about. Again, if you have a calculator with all the appropriate functions, that makes it even easier.
Try another:
6
a
2
−
b
+
8
with a = 1 and b = 3
6
(
1
)
2
−
(
3
)
+
8
6 - 3 + 8
= 11
Just as a sidenote here, make sure you're aware of the difference between
(
6
x
)
2
and
6
x
2
. The former refers to both the 6 and the
x
being squared, whereas the latter shows only the
x
being squared. Just be careful not to mix the two.
Try one more:
2
c
−
5
3
b
+
4
with b = 2 and c = 4
2
(
4
)
−
5
3
(
2
)
+
4
=
8
−
5
6
+
4
=
3
10
(or 0.3)
Speaking from experience, when you work with rational (fraction) polynomials on paper, it often tends to take up a bit of space and get messy. Therefore, I'd suggest you tried solving one equation at a time if you have the same issue.
Also, sometimes you may come across values that you don't want to type again in your calculator (like non-recurring decimals). For these, use the store function on your calculator to get maximum accuracy. With TI-84 and 83s, you can save values as letters (X, Y, etc.). Hence, you can just write out your equation using these, and hence significantly reduce the risk of typing the number wrong, while saving yourself some time.
Step-by-step explanation:
Answer:
The answer is 10
Step-by-step explanation:
6a + 2b
6(1)+2(2)
6+4
=10