A two-digit positive integer x has the property that when 109 is divided by x, the remainder is 4. What is the sum of all such two-digit positive integers x
Answer:
The sum of the two digits integers which divide 109 with a remainder of 4 is 71
Step-by-step explanation:
The given parameters are;
109/x = Q + 4/x
Therefore, we have;
109 = Q·x + 4
∴ Q·x = 109 - 4 = 105
x = 105/Q
Therefore, x is a factor of 105
The possible two digits integers which x represents includes the two digit factors of 105 which are;
15, 21, and 35
Which gives;
15 × 7 = 105
21 × 5 = 105
35 × 3 = 105
The sum of the two digits integers which divide 109 with a remainder of 4 is 15 + 21 + 35 = 71.
9. The diameter of the Earth is 7899.83 miles from the North Pole to the South Pole and 7926.41 miles from opposite points at the equator.
a. Find the approximate surface area of Earth using each measure.
b. About 75% of Earth's surface is covered by water. Find the surface area of water on Earth, using the diameter of the Earth is 7926.41 miles from opposite points at the equator.
Answer:
We could think of the Earth as a sphere, where the diameter of this sphere will the mean diameter between the measure from the North pole to the Soth pole and the measure from opposite points of the equator.
Remember that the mean between two numbers A and B is:
Mean = (A + B)/2
In this case, the mean diameter will be:
D = (7,899.83mi + 7,926.41mi)/2 = 7,913.115 mi
And we know that the surface of a sphere of diameter D is:
S = 4*pi*(D/2)^2
Where pi = 3.14
Then the surface of the Earth will be something like:
S = 4*3.14*(7,913.115mi/2)^2 = 196,618,601.47 mi^2
b) We know that 75% of the Earth's surface is water, now we will use the diameter 7,926.41 mi to compute the surface.
First, the total surface of the Earth will be:
S = 4*3.14*(7,926.41mi/2)^2 = 197,279,843.03 mi^2
And 75% of this is water, then the total water surface is 0.75 times that area, this is:
water surface = 0.75*197,279,843.03 mi^2 = 147,959,882.27 mi^2
Fill in the blank 8(? +3) =48+24
Answer:
6
Step-by-step explanation:
treat the ? as an x. you need to get it by itself. but first you should distribute the 8.
8x + 24 = 48 +24
8x+24 = 72
take the 24 and subtract it from 72
8x= 48
now divide both sides by 8
x= 6
Answer:
6
Step-by-step explanation:
8(6 + 3) =48+24
8(9) = 48+24
72 = 48 + 24
72 = 72
At what point does the row and column shaded in Problem 5 intersect?
Need the answer too 6
Answer:
C3
Step-by-step explanation:
intersect mean to cross. the row and column cross at c3
what is the range of the data 79, 52, 85,94, 71, 82, 84, 66, 58, 98, 72, 100
Answer:
48 pllz can i have brainiest plzz
Step-by-step explanation:
Answer:
48 is a answer
Step-by-step explanation:
formula for range is highest - lowest
100 - 52
48
Consider a political discussion group consisting of 8 Democrats, 4 Republicans, and 2 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting no Democrats
Answer:
The probability is 30/182
Step-by-step explanation:
The total number of people to select from is
8 + 4 + 2 = 14
We want to select two who are not democrats
Probability of selecting first one who is not a democrat will be 6/14
Probability of selecting a second who is not a democrat will be 5/13
So the probability of the two not being democrats will be 6/14 * 5/13 = 30/182
Jordana drew the function below. Which statement correctly explains whether or not her function is linear?
On a coordinate plane, a parabola opens up.
It is linear because it has a constant rate of change.
It is linear because it does not have a constant rate of change.
It is not linear because it has a constant rate of change.
It is not linear because it does not have a constant rate of change.
Answer:
It is not linear because it does not have a constant rate of change
Step-by-step explanation:
See attachment for Jordana's graph
From the attachment, it'll be observed that the graph has a curved line.
This means that the graph is not a linear and does not represent a linear function.
In functions, a linear representation has a constant slope (in other words, constant rate of change) while non linear representations do not.
So, since we've been able to establish that the graph is non linear, then we can conclude that the graph do not have a constant slope.
Base on the analysis above and from the list of given options, option (d) is correct.
Answer:
D
Step-by-step explanation:
credit to person above :)
have a nice day <3
Solve the Proportion: 3/8 = x/12
x = 9/2
Get variable on one side of equation and solve"
x/12 = 3/8
x = (3/8)(12)
x = 9/2
1/5+1/3 answer and 3/4-1/8
Answer:
1/5 + 1/3 = 8/15
3/4 - 1/8 = 5/8
help me please 20 points!!!!!
Answer:
20
Step-by-step explanation:
4x + 12x = 320
16x = 320
x = 320/16
x = 20
Ryan and his brother, Russell, made photo frames for their grandma's birthday. They used shells they collected from the beach near her house. Ryan glued 9 white shells and 15 orange shells to the border of his frame. Russell glued 8 white shells and 10 orange shells to the border of his frame. Did the two frames have the same ratio of white shells to orange shells?
Answer: No. The two frames does not have the same ratio of white shells to orange shells.
Step-by-step explanation:
Ryan glued 9 white shells and 15 orange shells to the border of his frame. This will give us a fraction of:
9/15 = 3/5
The ratio is 3:5
Russell glued 8 white shells and 10 orange shells to the border of his frame. This will give us a fraction of:
= 8/10 = 4/5
The ratio will be 4:5.
Therefore, the two frames does not have the same ratio of white shells to orange shells.
The sum of the speeds of two trains is 717.4 miles per hour. If the speed of the first train is 4.6 miles per hour faster than that of the second train, find the speed of each
Answer:
The second train speed is 356.4 miles per hour
And, the first train speed is 361 miles per hour
Step-by-step explanation:
The computation of the speed of each train is as follows
Given that
The Sum of the speed of two trains is 717.4 miles per hour
Let us suppose the second train speed be x
So for the first train, the speed is x + 4.6
Now the equation is
x + x + 4.6 = 717.4
2x + 4.6 = 717.4
2x = 717.4 - 4.6
2x = 712.8
x= 356.4
Therefore the second train speed is 356.4 miles per hour
And, the first train speed is = 356.4 + 4.6 = 361 miles per hour
If the two triangles shown below are congruent, select the corresponding 1 point
postulate that proves they are congruent. If the triangles are not
congruent, select not congruent. *
Answer:
SSS
Step-by-step explanation:
The two triangles both share a side (the middle line), and it is shown that the other lines are congruent to each other. So all 3 sides are congruent, meaning SSS is the postulate that proves this.
Which expression is equivalent to 4{12 + 5} + 3?
Answer:
71
Step-by-step explanation:
Find the percent of increase from 15 lbs. to 31 lbs. Round to the nearest tenth if necessary.
True or False? If a number is divisible by 10 then it must also be
divisible by 5 and 2.
Answer:
true
Step-by-step explanation:
because in order for something to be divisible by 5 it has to end in an 0 or a 5
and for something to be divisble by 2 it has to end in a even number
What is the solution for the system below?
у
4
-2
0
2
4
4
(2,0)
(0-2)
0 (1-1)
Answer:
the solution is (1,-1)
Step-by-step explanation:
the lines meet at (1,-1)
Simplify 4x + 8 = 0.1x + 3 +3.9x
Answer:
Step-by-step explanation:
4x+8=.1x+3+3.9x
4x+8=4x+3
No solution since the 4x's will cancel each other out
1, 3, 2, 2, 1, 3, 3, 1 What is the mean absolute deviation
Answer:
6
Step-by-step explanation:
Given the data:
1, 3, 2, 2, 1, 3, 3, 1
The mean absolute deviation :
Sum of (1, 3, 2, 2, 1, 3, 3, 1) = 16
Mean = 16 / 8 = 2
Mean absolute deviation :
|1 - 2|+ |3 - 2| + |2 - 2| + |2 - 2| + |1 - 2| +|3 - 2| + |3 - 2| + |1 - 2|
= 1 + 1 + 0 + 0 + 1 + 1 + 1 + 1
= 6
38.3 cm
Р
0 12.6 cm R
Answer:
Step-by-step explanation: F 50.9 cm (H 25.7 cm. G 46.3 cm. -38.3 cm. G 46.3 cm. 921.3 cm. Ø 12.6em Å ... Р. 3 - с. 2, +6:48 348 р. 8. Find the distance between P(2, 8) and Q15, 3). F9 ... REVIEW VOCABULARY!!!!! R=0 tre of the two angles. Atab=180. 2 ДО - Чx 49.
PLS HELP 50 POINTS IF YOU DONT KNOW DONT ANSWER THE QUESTION
Answer:
It is C or t < 6
Step-by-step explanation:
The line starts at 6 and goes left. The way I remember which way it goes is the greater than or less than sign looks like the tip to the arrow
< ---- and ---- >
It is an open circle so it will not be a greater than or equal to sign
geometry help please :)
Answer:
Medium to Line AC
Altitude to Line AC
Bisector of Angle B
Perpendicular bisector of Line AC
Step-by-step explanation:
We can tell that the Medium here is from line AC to angle B. The line is connecting the angle to the middle of the line, making it the medium and altitude. It is also a bisector of angle B because it is directly in the middle of that angle. It is a perpendicular bisector to line AC because it forms a 90 degree angle on the bottom.
#teamtrees #WAP (Water And Plant)
Your friend estimated that it would take 5 hours to finish an art project. It actually took him 16 hours to finish the project. The amount of time it took to finish the project was blank percent of the estimated time. What does it mean to have more than 100% of something?
Answer:
like if you have a bowl of popcorn, it is probably gonna be more than 100% full.
Step-by-step explanation:
for the blank, it is 320% i believe
Answer and explanation:
Estimated time to finish the project = 5 hours
Actual time taken to finish the project = 16 hours
Therefore the amount of time/actual time it took to finish the project = 16/5*100/1= 320% of estimated time to finish the project
When something is more than 100 percent of a thing then it is bigger than that thing. For instance, If it took your friend exactly 5 hours to finish the project, then it took him 100 percent of the estimated time. If it took him more than that time, then it is more than 100 percent of estimated time.
Hence, 100 percent of a thing then it is equal to that thing, if more, 120 percent, then it is more or bigger than that thing. If less than 100 percent then it is less than that thing.
A small ice cream shop sold 120 ice cream cones last weekend. It sold 42 vanilla cones, 53 chocolate cones, and 25 strawberry cones. What angle measure should be used for chocolate cones in a circle graph of the data?
Answer:
acute i think??
Step-by-step explanation:
Answer:43.3
Step-by-step explanation:
Solve the equation by completing the square.
2x^2+20x-63=3
help me please i dont understand
Whats the error in this problem 19 - 2k = 3k - 1
+ 3k + 3k
19 + 1k - 1
- 19
- 19
k = - 20
Step-by-step explanation:
Just collect like terms. Follow the +ve and _ve signs as they go over the equation sign where they then become an inverse of themselves and use the signs to work
Look at the subtraction expression below. ( Please. Help. Quick.)
- 1/2 - 1/4
Which number line models this expression?
Answer:
A.
Step-by-step explanation:
Because they are both subtracting, both lines have to go to the left
Answer:
The answer is A
Step-by-step explanation:
I got a 100 on my test ;)
Anyone else chew on there hoodie strings?
Answer:
yes only when in nervous or bored
6. Solve the following equation for y.
3x - 4y = 6
Answer:
3x−4y+−3x=6+−3x
−4y=−3x+6
Step 2: Divide both sides by -4.
−4y
−4
=
−3x+6
−4
y=
3
4
x+
−3
2
Step-by-step explanation:
Answer:
y = 0.75x - 1.5
Step-by-step explanation:
3x - 4y = 6
-4y = -3x + 6
y = 3/4x - 6/4
y = 0.75x - 1.5
hope this helps, pls mark brainliest :D