Answer:
-33/8= -4 1/8= -4.125
Step-by-step explanation:
step 1: Add (-1 7/8) + (-2 1/4)= -33/8
Step 2: convert the mixed number to improper fraction
− 1 7/8 = (1x8/8 + 7/8) = - 8+7/8 = -15/8
Step 3: Add a negative
-15/8 +(-9/4) = -15/8 - 9/4
Adding a negative is the same as subtracting a positive btw
step 4: Find the common denominator
-15/8 - 9/4 = -15x1/8x1 - 9x2/4x2 = -15/8 -18/8
8 is the least common multiple of denominators 8 and 4. Use it to convert to equivalent fractions with this common denominator.
step 5. Simplify
-33/8 = -4 1/8
A. Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
1 is the greatest common divisor of 33 and 8. The result can't be further reduced.
B. Convert improper fraction to mixed number
-33/8 = 04 1/8
33 ÷ 8 = 4 remainder 1
Answer:
The solution is -4 1/8 or -33/8
Step-by-step explanation:
[tex] \sf - 1\frac{7}{8} + ( - 2 \frac{1}{4} ) \\ \\ = \sf - \frac{15}{8} - \frac{9}{4} \\ \\ = \sf \frac{ - 15 - 9(2)}{8} \\ \\ = \sf \: = \frac{ - 15 - 18}{8} \\ \\ = \sf - \frac{33}{8} \\ \\ = \sf - 4 \frac{1}{8} [/tex]
A. There are,............. kinds of things around us.
Answer:
There are, such kinds of things around us.
If a and b must be positive integers, what is the largest integer n such that 13a + 18b = n has no solutions?
Answer:
234
Step-by-step explanation:
By Euclidean Algorithm on 13 and 18, we found that 13(7)+18(−5)=1.
Then we multiply the equation by n, we got
13(7n)+18(−5n)=n.
Thus 13(7n)+18(−5n)=n always has integer solution.
However, a and b must be positive integers. So we need to reduce 7n and increase -5n
to make them positive. Noting that13(18m)=18(13m)∀m∈Z.
⇒13(7n−18m)+18(−5n+13m)=n⋯(1)
Let a=7n−18m and b=−5n+13m.Since a and b are positive integers, we have two inequalities:
7n−18m>0 and −5n+13m>0
⇒5n13<m<7n18⋯(2)
In order to make 13a+18b=n has no solutions,n must be taken to make (2) is impossible.
That means there exists no such integer m lying in the interval (5n13,7n18).
As a consequence, the difference between
5n13 and 7n18 must not greater than 1.
7n18−5n13≤1⇒n13×18≤1⇒n≤234.
Let’s put the largest candidate n=234 into (2), we get 90<m<91 ⇒ m is not an integer, which is a contradiction!
Therefore the largest integer n to make 13a+18b=n has no positive integer solutions is 234.
Original Link: https://www.quora.com/If-a-and-b-must-be-positive-integers-what-is-the-largest-integer-n-such-that-13a-18b-n-has-no-solutions
Luke writes 1/4 of one essay in 20 minutes.
How long will it take
him to complete the essay?
Answer:
20 times 4 is 80 so It will take Luke 80 minutes to complete the essay
In the diagram, what is mAngleVSR?
2 lines intersect. A horizontal line has points R, S, U and intersects a line with points V, S, T at point S. Angle V S U is 100 degrees.
mVSR =
The measure of m∠VSR if the horizontal line has points R, S, U and intersects a line with points V, S, T at point S is 80degrees
The point where two lines intersect is known as an angle.
Find the diagram to the question attached below.
From the diagram shown, we can see that the angle m∠VSR and m∠VSU lie on the line RSU which shows that the sum of these angles is supplementary. Hence:
m∠VSU + ∠VSR = 180
Given that m∠VSU = 100 degrees
∠VSR = 180 - ∠VSU
∠VSR = 180 - 100
∠VSR = 80degrees
Hence the measure of m∠VSR if the horizontal line has points R, S, U and intersects a line with points V, S, T at point S is 80degrees
Learn more here: https://brainly.com/question/14941189
Answer: 80°
Step-by-step explanation: Trust me bro
Find the slope of each line.
1
2
Answer: m=-2/1 or m=-2
Step-by-step explanation: The line is going downwards by 2s and towards the right by 1s
The annual profits for a company are given in the following table, where x represents
the number of years since 1997, and y represents the profit in thousands of dollars.
Write the linear regression equation that represents this set of data, rounding all
coefficients to the nearest tenth. Using this equation, find the projected profit (in
thousands of dollars) for 2008, rounded to the nearest thousand dollars.
Profits (y)
Years since 1997 (1) Gin thotsands of dollars)
0
66
1
108
2.
89
3
157
4
178
5
199
what is the measure of each interior angle of a regular octagon?
PLEASE HELPPPPPPPPPPPPP
Answer:
G
Step-by-step explanation:
three line segments : HI, EF, and JG,
intersect in one point => G
Three axis given
[tex]\\ \sf\longmapsto \overleftrightarrow{HI}[/tex]
[tex]\\ \sf\longmapsto \overleftrightarrow{EF}[/tex]
[tex]\\ \sf\longmapsto \overleftrightarrow{GJ}[/tex]
Now
All are intersected at one point G
The angle turns through 1/12th of the circle what is the measure of the angle
Answer:
30°
Step-by-step explanation:
A full circle has 360°.
1/12 of a circle has 1/12 of 360°.
1/12 * 360° = 360°/12 = 30°
Answer: 30°
4. The sum of Mr. and Mrs. Bergen's ages is 100. The difference between their ages is 10. How old are Mr. and Mrs. Bergen?
100-10=90
90÷2=45
Mr Bergen's age=45+10
=55 years old
Mrs Bergen's age=45 years old
Referring to the figure
find m∠6
16+24/8-6 is equal to __.
A) 6
B) 20
C) -1
D) 13
Answer:
16+21/8-6 simplifies to 13
Hope this helps!!
Answer:
D. 13
Step-by-step explanation:
Step 1:
16 + 24 / 8 - 6
Step 2:
16 + (24 / 8) - 6
Step 3:
16 + 3 - 6
Step 4:
(16 + 3) - 6
Step 5:
19 - 6
Answer = 13
Hope it helps :)
whas 2 pwus 1 pwees helppppp
Answer:
3
Step-by-step explanation:
I appreciate the satire
Answer:
3
Step-by-step explanation:
if u have to apples and u add 1 one how many do u have ? 3
Help asap plz first answer get brainliest
Answer:
Use a mixed fractional calculator. No one is gonna help u with this many questions...
https://www.calculatorsoup.com/calculators/math/mixednumbers.php
GL
Step-by-step explanation:
Simplify the expression using the order of operations. 3 (8-4)2 + 7.9
If the side length of a square is 7.2 inches, what is the area of the square
Answer:
51,84
Step-by-step explanation:
The area of the square if side * side, so 7.2 * 7.2 = 51,84 square inches
Hello Brainly User please help me I will mark brainliest. Its really east math please help me
If the sum of the tast
number and the middle
number of three consecutive
integersis 71, then the
Least (smallest)
number must be
Answer:
34
Step-by-step explanation:
x + 1, x + 2
2x + 3 = 71
71 - 3 = 68 / 2 = 35, 36
x = 34
Joanna ran a mile in physical education class after resting for 1 hour her heart rate was 60 beats per minute if her heart rate decreased it by 2/5 what was her heart rate and merely after she ran the mile
Answer:Since 2/5 is basically a part of a whole, you would have to divide 60 by 20. You would get thirty. Thirty times five is 150.
Step-by-step explanation:
Multiply.
12.1 x 104
o 1,210
o 121,000
o 1,210,000
Answer:
121,000
Step-by-step explanation:
AnswerHere is the Answer
Step-by-step explanation:
A piece of work takes 20 labourers to complete in 10 days. how many labourers will complete the same job in 25 days if they work at the same rate?
Step-by-step explanation:
If 20 labourers=10 days
x labourers = 25 days
10x= 25×20
[tex] \frac{10x}{10} = \frac{25 \times 20}{10}[/tex]
Cancelling out by 10 on both sides
[tex]x = \frac{25 \times 2}{1} \\ x = 50 [/tex]
Therefore, it takes 50 labourers to complete the work at the same rate in 25 days.
1
(1 point)
8.
Determine the domain of the function f (x) =
5x2 +23x+12
0 (-60, 4) (-:-)
0 (-004)
5,00
O(-00,00)
0 (-00.-4)[
Answer:
the first option -
x is an element of R with x not equaling
-4 or (-3/5)
the sum of twice a number and 13 is 75
•
but in an algebraic equation
DONT SOLVE
Answer:
I won't solve it, because you asked me to.
Step-by-step explanation:
The first question we should ask ourselves is "what are we looking to solve?"
We are looking for some sort of value that satisfies that equation. We'll call it x
Reading from left to right:
The sum of twice a number and 13 is 75
+ 2 x 13 = 75
2x + 13 = 75
Write formula for f(x) in slope intercept form
Answer:
f(x) = 1000x + 3000
Step-by-step explanation:
the point (0,3000)
p2 (1,4000)
slope = (y2-y1) / (x2-x1)
= (4000 - 3000) /( 1-0)
slope = 1000 = m
y = mx + b
y=1000x + b
Use one of the points to find b :
3000 = 1000(0) + b
b = 3000
f(x) = 1000x + 3000
tìm sự hội tụ của
∞
∑ [tex]\frac{4^{n} }{n!}[/tex]
n=1
Answer:
100002
Step-by-step explanation:
bi the react
Given the complex number z=6(cos120+isin120), find z3
Answer:
B
Step-by-step explanation:
We are given the complex number:
[tex]\displaystyle z = 6(\cos 120^\circ + i\sin 120^\circ)[/tex]
And we want to find z³.
Recall that:
[tex]\displaystyle z^n = r^n(\cos(n\theta) + i\sin (n\theta))[/tex]
In this case, n = 3. Hence:
[tex]\displaystyle z ^3 = (6)^3 (\cos (3(120^\circ)) + i\sin (3(120^\circ))[/tex]
Simplify:
[tex]\displaystyle z^3 = 216(\cos 360^\circ + i\sin 360^\circ)[/tex]
Evaluate:
[tex]\displaysyle z^3 = 216( 1 + i(0)) = 216[/tex]
In conclusion, our answer is B.
Which of the following fractions converts to
a repeating decimal?
a. 7/8
b. 3/5
c. 5/2
d. 2/9
Answer:
d. 2/9
Step-by-step explanation:
7/8 - 0.85
3/5 - 0.6
5/2 - 2.5
2/9 - 0.222... the two is a recurring number
Is 0.30 greater than, less than,
or equal to 0.3?
Answer:
It is equal to 0.3
Step-by-step explanation:
0.30 is 30/100, or 30 hundreths. If you simplify 30/100, you get 3/10, which is the same as 0.3, or 3 tenths
Answer:
equal to
Step-by-step explanation:
the 0 at the end doesn't matter
Solve 3(7x-3) -2(4x-2) whenx=4
7
5
47
46
Answer:
47
Step-by-step explanation:
3(7x-3) -2(4x-2) when x=4
3(7*4-3) -2(4*4-2)
3(25)-2(14)
75-28=47
the answer is 47
1000000000000 = 4*10?
Answer:
No
Step-by-step explanation:
if your asking is 10 to the power of 4 is 1000000000000, it is not. 10 to the power of 4 is 10000
