Answers
Answer:
Option (1)
Step-by-step explanation:
Option (1)
[tex]3\frac{3}{9}+7\frac{6}{11}=10\frac{87}{99}[/tex]
[tex]3\frac{3}{9}+7\frac{6}{11}[/tex] [tex]=3+\frac{3}{9}+7+\frac{6}{11}[/tex]
[tex]=(3+7)+(\frac{3}{9}+\frac{6}{11})[/tex]
[tex]=10+(\frac{3}{9}\times \frac{11}{11})+(\frac{6}{11}\times \frac{9}{9})[/tex]
[tex]=10+(\frac{33}{99}+\frac{54}{99})[/tex]
[tex]=10+\frac{87}{99}[/tex]
[tex]=10\frac{87}{99}[/tex]
True.
Option (2)
[tex]2\frac{3}{8}+6\frac{4}{5}=8\frac{12}{40}[/tex]
[tex]2\frac{3}{8}+6\frac{4}{5}=2+\frac{3}{8}+6+\frac{4}{5}[/tex]
[tex]=(2+6)+(\frac{3}{8}+\frac{4}{5})[/tex]
[tex]=(8)+(\frac{3}{8}\times \frac{5}{5} +\frac{4}{5}\times \frac{8}{8})[/tex]
[tex]=8+(\frac{15}{40}+\frac{32}{40})[/tex]
[tex]=8+\frac{47}{40}[/tex]
[tex]=8+\frac{40}{40}+\frac{7}{40}[/tex]
[tex]=8+1+\frac{7}{40}[/tex]
[tex]=9+\frac{7}{40}[/tex]
[tex]=9\frac{7}{40}[/tex]
False.
Option(3)
[tex]3\frac{3}{7}+4\frac{2}{3}=7\frac{2}{21}[/tex]
[tex]3\frac{3}{7}+4\frac{2}{3}=(3+\frac{3}{7})+(4+\frac{2}{3})[/tex]
[tex]=(3+4)+(\frac{3}{7}+\frac{2}{3})[/tex]
[tex]=7+(\frac{3}{7}\times \frac{3}{3} +\frac{2}{3}\times \frac{7}{7})[/tex]
[tex]=7+(\frac{9}{21}+\frac{14}{21})[/tex]
[tex]=7+(\frac{23}{21})[/tex]
[tex]=7+(\frac{21}{21}+\frac{2}{21})[/tex]
[tex]=8+\frac{1}{21}[/tex]
[tex]=8\frac{1}{21}[/tex]
False.
Option (4)
[tex]4\frac{5}{6}+5\frac{5}{7}=9\frac{10}{13}[/tex]
[tex]4\frac{5}{6}+5\frac{5}{7}=4+\frac{5}{6}+5+\frac{5}{7}[/tex]
[tex]=(4+5)+(\frac{5}{6}+\frac{5}{7})[/tex]
[tex]=9+(\frac{5}{6}\times \frac{7}{7}+\frac{5}{7}\times \frac{6}{6})[/tex]
[tex]=9+(\frac{35}{42}+\frac{30}{42})[/tex]
[tex]=9+\frac{65}{42}[/tex]
[tex]=9+(\frac{42}{42}+\frac{23}{42})[/tex]
[tex]=9+1+\frac{23}{42}[/tex]
[tex]=10\frac{23}{42}[/tex]
False.
Therefore, Option (1) is the answer.
Related Questions
Explain how you found your answer
Answers
Answer:
let the total cost of a rug be x
then
30% of x =75
30/100*x =75
3x=750
x=750/3 = 250
Marc owe = 250-75 =175
Step-by-step explanation:
one - step adding/ subtraction equation / multiplication/ division problems
The height of the water in an above ground pool is 36 inches. The pool needs to be drained. As the water drains, the height of the water changes at a rate of -1/2 inch per minute. Write and solve and equation to find out how many minutes it will take to drain the pool.
Answers
Answer:
It would take x = 72 minutes to drain the pool.
Step-by-step explanation:
We know that the slope-intercept form of the line equation is
[tex]y = mx+b[/tex]
where m is the rate of change or slope and b is the y-intercept
Let 'y' be the height of the water poolLet 'x' be the time in the minute of the water poolAs the height of the water of the pool is 36 inches, meaning the basic condition of the pool states that the ground pool is 36 inches.
Thus,
y-intercept = b = 36As the water drains, the height of the water changes at a rate of -1/2 inch per minute.
Thus, the rate of change or slope = m = -1/2Thus, using the equation
[tex]y = mx+b[/tex]
substituting m = -1/2 and b = 36
[tex]y\:=\:-\frac{1}{2}x+36[/tex]
We know that when the pool drains, the height of water reduces to zero.
Thus, substituting y = 0 in the equation
[tex]0=-\frac{1}{2}x+36[/tex]
switching sides
[tex]-\frac{1}{2}x+36=0[/tex]
subtract 36 from both sides
[tex]-\frac{1}{2}x+36-36=0-36[/tex]
[tex]-\frac{1}{2}x=-36[/tex]
Multiplying both sides by -2
[tex]\left(-\frac{1}{2}x\right)\left(-2\right)=\left(-36\right)\left(-2\right)[/tex]
[tex]x=72[/tex]
Therefore, it would take x = 72 minutes to drain the pool.
Here are three symbols.
<
>
=
Write one of these symbols in each box to make four true state
Answers
Step-by-step explanation:
4 + 9 = 3 ^ {2}
13=3^{2}
13=9
Answer:
a. <
b. =
c. =
d. >
these are correct I guess
Complete the table.
y = f(g(x))
u = g(x)
y = f(u)
y = 8 tan(itx5) u =
I
y = 8 tan u
Answers
9514 1404 393
Answer:
u = x +14 u = πx^5Step-by-step explanation:
I find it easiest to match the patterns. You could also work this by finding inverse functions.
1.
[tex]y=u^{-1/2}\\\\y=\dfrac{1}{\sqrt{u}}=\dfrac{1}{\sqrt{x+14}}\\\\u=x+14 \qquad\text{match radical contents}[/tex]
__
2.
[tex]y=8\tan{u}=8\tan{(\pi x^5)}\\\\u=\pi x^5 \qquad\text{match tangent arguments}[/tex]
ill give the crown things
Dash & Lily like to read books. Dash has read 25 books this summer, and Lily has also read some books this summer.
If together they have read 78 books, how many did Lily read?
Answers
Answer:
Lily read 53 books
Step-by-step explanation:
78-25=53
Hope this helps! :3
Plz mark as brainliest!
What is the quotient of 2 ÷2/3 plz help
Answers
Answer:
3
Step-by-step explanation:
2/(2/3)=(2/1)/(2/3)=(2/1)(3/2)=6/2=3
Answer:
3, I think (hope this helps)
Step-by-step explanation:
Given that a baby is 8month and her elder sister is 4 years old, express their ages as a ratio
Answers
Answer:
the ratio: 6:1
Step-by-step explanation:
to make it as a ratio :
We will make 4 years as months
So 4x12 =48
then the ratio: 48:8
6:1
hope this helps
Use the given numbers.
146,406
364,640
344,636
Part A
Which number has one digit that represents ten times the value of the digit to its right?
Enter your answer in the box.
Answers
Answer:
on the third number it says 344,636 and there is a double 4
What is the value of -4^2+(5-2)(-6)?
O-34
O-2
O 10
O 34
Answers
The value of -4² + (5-2) (-8) is -34.
What is Integer?Integers come in three types:
Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)Given:
We have expression as -4² + (5-2) (-8)
Now, solving the terms in the expression
-4² = -(4 x 4)= -16
and, (5-2) (-6)
= 3 (-6)
= -18
So, the value of -4² + (5-2) (-6)
= -16 - 18
= -34
Learn more about Integer here:
https://brainly.com/question/15276410
#SPJ1
Michael has credit card debt of $75,000 that has an 12% APR, compounded monthly. The minimum payment only the requires him to pay the interest on his debt. He receives an offer for a credit with an APR of 4% compounded monthly. If he rolls over his debt onto his card and makes the same monthly payment as before, how long will it take him to pay off his credit card debt?
Answers
Answer: 122 months.
Step-by-step explanation: The first step is to calculate the minimum monthly payment using the debt balance of $75,000 and 12% APR compounded monthly,which = $75,000 × 12% / 12 = $750 . The second step is to use the same $750 as payment, and using a discount rate of 4%/12, calculate the number of months required to pay off the present value (PV) of $75,000 , which = 122 months.
PLEASE HELP IT DUE RIGHT NOW!! PLEASE EXPLAIN THE STEPS TO THIS TOO!!
Answers
(-2-0)/(2+6) = -2/8 = -1/4
Y intercept: when x = 0
Y intercept: (0,-1.5)
Solution: the answer is H
Answer: y int = -1.5
Slope = -1/4
Step-by-step explanation: y int is the point at which the line cross the y axis.
Slope = rise/run
Starting from the point on the left of the graph (-6,0) and going the the other point (2, -2) you can see the it rises -2 point. (0 to -2) the it runs 8 point. (-6 to 2).
Therefore the Slope = -2/8 or -1/4
Please help thank u I appreciate it
Answers
9514 1404 393
Answer:
m∠ADC = 86°
Step-by-step explanation:
The sum of angles making a straight angle is 180°, so we have ...
(6x +52)° +(9x +23)° = 180°
15x = 105 . . . . . subtract 75°, collect terms, divide by °
x = 7 . . . . . . . . . divide by 15
m∠ADC = (9·7 +23)°
m∠ADC = 86°
Here given that ,
Line BDA is a straight line Angles on the line BDA are ∠BDC & ∠ADCAs we know that , sum of angles on a straight line is always equal to 180° . So ,
=> ( 6x + 52 ) ° + ( 9x + 23 ) ° = 180°
=> 15x + 75° = 180°
=> 15x = 180° - 75°
=> 15x = 105°
=> x = 105°/15
=> x = 7°
Now , by the given information , we need to find the value of ∠ADC
∠ADC = ( 9x + 23 ) °Now substituting the value of x ,
⇒ ∠ADC = 9x + 23
⇒ ∠ADC = 9 ( 7 ) + 23
⇒ ∠ADC = 63 + 23
⇒ ∠ADC = 86°
Answer quickly for brainliest!!!
Answers
Answer:
Subtract 5 from both sides.
Step-by-step explanation:
Answer:
C. subtract 5 from both sides.
Step-by-step explanation:
when solved, its y=7
Use the following coordinate plane to write the ordered pair for each point.
If you can PLZ help
Answers
Answer:
For A it is 0,5
For B it is 1,3
For C it is 4,3
3 1 R7 12 8 27 - 2 4 1 2 O 00 7 4 0 7
Answers
correct sirrrrr
Can some one help meeee
Answers
Answer:
With what? there is nothing here
Step-by-step explanation:
15r-15s=
can you help
Answers
Answer:
=15r−15s
or if it is a factor:
15(r−s)
Graph the line that passes through the two lines (1,5/2), (-1/2,-1/4)
Answers
Answer:
Image below
Step-by-step explanation:
Graph of a Line Given Two Points
We are given the points (1,5/2), (-1/2,-1/4).
A straight line is entirely defined by two points. We have to plot them and join them with a straight line ending in arrows.
The point (1,5/2) is converted to decimal as (1,2.5)
The point (-1/2,-1/4) is also converted to decimal: (-0.5,-0.25)
This helps to define the divisions of each axis and properly draw the line.
Please refer to the image below.
2.
(04.01) WILL GIVE BRAINLIEST
Which of the tables represents a function? (4 points)
Table A
Input Output
8 −9
8 −8
10 −8
Table B
Input Output
4 11
7 12
7 13
Table C
Input Output
−4 0
−3 3
−2 5
Table D
Input Output
10 0
10 4
3 7
Table A
Table B
Table C
Table D
Answers
Answer:
C
Step-by-step explanation:
Answer:
it is c
Step-by-step explanation:
hope this helps
Find the sum. Enter your answer in the box below as a fraction, using the
slash mark (/) for the fraction bar.
2/13 + 4/13
Answers
Answer:
6/13
Step-by-step explanation:
how do you graph x ≥ 6 and
x ≥ -0.6
on a line graph
Answers
Step-by-step explanation:
A line graph, or a number line, has the numbers on different points along the graph. It's a little hard to explain since I can't draw one, but for x>=6, jut plot 6 on the number line as normal. Then since it could be equal to six, put a closed circle (if it wasn't equal to then it would be an open circle).
Now since x is greater than, draw an arrow to the right (since the numbers increase the farther right you go). The follow the same idea for the other one.
Answer:
Look at the Picture.
Step-by-step explanation:
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
Since the greater than sign is used, the circle will be filled in.
Since x is greater than the number, the line arrow will go in the direction of the number that is greater than it.
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
#teamtrees #WAP (Water And Plant)
A contractor is building a tower shaped like a tall rectangular prism. He is told that the dimensions of the tower must be 50 ft × 80 ft × 250 ft. The building is to have 20 floors with a 2.5 ft tall portion between each floor and for the roof. What is the volume of each floor of the building?
Answers
Answer: 50,000ft^3
Step-by-step explanation: You have to multiply 50, 80, 250 then divide by 20 because you’re looking for the floors only and not the roof and floor
х
У
о
12
1
8
N
4
3
о
4
4
Answers
Answer:
13
Step-by-step explanation:
Sorry im in 5th grade.
NEED BY TODAY PLEASE GET RIGHT
Answers
30 + (-15) + (-10) + [-5] = 0
I need help!!! Please figure it out and type it out.
Answers
Answer:
the mean number is 2.7
Step-by-step explanation:
if you add up the frequency of books then divide by 20 you get 2.7
Am I correct? I would like to know, thanks!
Answers
Answer:
a) <CA
b) im not sure about this one
Step-by-step explanation:
Help me out here please I need some help here
Answers
3/10 * 4/1 = 12/10
Simplify:
12/10 -> 6/5 -> 1 1/5
Thus D, 1 1/5 loaves remain at the end of the picnic.
5/6 × 1/5= 1/6. How the answer came 1/6? Explanation needed.
Answers
Answer:
see below
Step-by-step explanation:
5/6 × 1/5= 1/6
Rewrite the fractions
5/5 * 1/6 = 1/6
1 * 1/6 = 1/6
1/6 = 1/6
Answer:
below
Step-by-step explanation:
[tex] \frac{5}{6} \times \frac{1}{5} [/tex]
divided 5 by 5
[tex] 5 \div 5 = 1 [/tex]
multiply 1 by 1/6
[tex] 1 \times \frac{1}{6} [/tex]
hence,
[tex] = \frac{1}{6} [/tex]
Rashawn knows the multiplications 6x4 and 2x4. How can he use their products to find 8x4?
Answers
Answer:
Since 6x4=24
and
2x4=8,
we can tell that these answers are common multiples of 8, and so 24 plus 8 equals 32.
Step-by-step explanation:
8x4=32
The area of a rectangular field is 200 m²and its perimeter is 60 m. Find the lengthand width of the field.
Answers
Answer:
length: 20m
width: 10m
(or vice versa)
Step-by-step explanation:
By substituting each of the values (20 meters for length and 10 meters for width), you will receive answers that satisfy each of the given traits of the rectangle:
200=20x10
200=200
60=2(20)+2(10)
60=40+20
60=60