the sum of the ages of chukwu and Caroline is 45 years if the difference in their age is 3 years find the age of chukwu (chukwu is older than Caroline)
Step-by-step explanation:
let,the sum of the ages of chukwu & Caroline be X & Y.
now,
X+y=45
X-y=3
(+) (+) (-)
__________
2x=42
or,X=42/2
or,X=21
putting the value of X,
X+y=45
or, 21+y=45
or,y=45-21
or,y=24
therefore,X=21
y=24
The data set represents the total number of pencils each student in a class needs to sharpen.
0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9
Which box plot correctly represents the data?
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 2 to 6. A line divides the box at 3.
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 2 to 6. A line divides the box at 4.
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 4.
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 3.
Given:
The data set is:
0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9
To find:
The correct statement that represents the box plot of the data correctly.
Solution:
We have,
0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9
Divide the data in 2 equal parts.
(0, 1, 1, 1, 2), 3, (4, 4, 6, 6, 9)
Divide each parenthesis in 2 equal parts.
(0, 1), 1, (1, 2), 3, (4, 4), 6, (6, 9)
Here,
Minimum value = 0
First quartile = 1
Median = 3
Third quartile = 6
Maximum value = 9
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 3.
Therefore, the correct option is D.
Answer:
its d
Step-by-step explanation: my yt Tray Clayps
Find the common ratio for the geometric sequence
Answer:
1/4
Step-by-step explanation:
From the diagram below, you can say that the two triangles are
Select one:
Congruent by SAS
Not Congruent
Congruent by HL
Congruent ASA
Answer:
C
Step-by-step explanation:
As the legs and hypotenuse are same, these triangles are congruent by HL congruency
Find the missing value.
Hint: Use the number line to find the missing value.
-5 = –10+
Answer:
the missing values is 5
I hope it's helps you
Help
Find the volume of this cone.
Use 3 for T.
6ft
V =
3
Tr2h
1
10ft
V
V-
[?]ft3
A
Answer:
[tex]V=90[/tex]
Step-by-step explanation:
Step 1: Find the volume of the cone
[tex]V = \frac{\pi *r^{2}*h}{3}[/tex]
Plug in the values
[tex]V = \frac{\pi *3^{2}*10}{3}[/tex]
Simplify and Solve
[tex]V = \frac{\pi *9*10}{3}[/tex]
[tex]V = \frac{90\pi }{3}[/tex]
[tex]V = \frac{90*3 }{3}[/tex]
[tex]V=90[/tex]
Answer: [tex]V=90[/tex]
A taxi ride cost $2 for the first 1/5 of a km and 40 cents for each additional fifth of a km. Dan has $9.60. What is the longest taxi ride he can afford, in kilometres?
Answer:
4 kilometers
Step-by-step explanation:
First! Let's create an equation, with our variable (x) representing the number of additional fifth kilometers Dan can afford.
2 + 0.40x = 9.60
Now, we have to solve for our x value by subtracting 2 from both sides.
0.40x = 7.60
Next, we can divide both sides by 0.40 to find out what our x value is equal too.
x = 19
Don't forget this x value is just for the number of additional fifth kilometers Dan can afford on top of his first fifth mile.
So! Dan can afford 20 fifth kilometers, which in turn in is 4 kilometers in total.
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Sailor Sheftal
Special Right Triangles (Radical Answers)
Jul 21, 10:57:01 AM
?
The figure below is a square. Find the length of side 3 in simplest radical form with a
rational denominator.
9
.
Submit Ansurer
Answer: 2=
Pls help me
Answer: [tex]9\sqrt{2}[/tex]
Step-by-step explanation:
The sides of a square are all equal in length.Use the Pythagorean Theorem:
[tex]9^{2} +9^{2} =x^{2}\\x=\sqrt{9^{2} +9^{2}} =\sqrt{2(9)^{2} } =9\sqrt{2}[/tex]
HELP ASAP LIKE PLEASE
Answer: (3b+2)(b+2)
Step-by-step explanation:
9 in
16 in
13 in
Drawing not to scale
a 38 in 2
b. 117 in 2
C. 468 in2
d. 58.5 in.?
D.
area of triangle = 1/2 × base × height
therefore,
1/2× 9× 13= 58.5in^2
The area of the triangle with a base of 9 inches and height of 13 inches is 58.5in^2
We have given that,9 in,16 in, and 13 in
Drawing not to scale
We have given that the triangle
What is the formula for the area of the triangle?
area of triangle = 1/2 × base × height
therefore,
Use the given value in the formula so we get
[tex]1/2\times 9 \times 13= 58.5in^2[/tex]
Therefore the area of the triangle is 58.5in^2.
To learn more about the triangle visit:
https://brainly.com/question/17335144
#SPJ2
Given mn, find the value of x.
+
(6x+9)
m
(4x-19)
Answer:
Submit Answer
attempt 1 out of 2
I really need help with this
Answer:
x = 19
Step-by-step explanation:
The two angles with measures are supplementary.
6x + 9 + 4x - 19 = 180
10x - 10 = 180
10x = 190
x = 19
Answer:
10x -10
Step-by-step explanation:
this answer is really sure
Arc measurement with equations
Answer:
thats the question?
Step-by-step explanation:
solve the diagram below
Answer:
x=45
Step-by-step explanation:
straight line=180°
2x+x=3x
180-45=135
135/3=45
x=45
convert 5.875baae 10 to base 2
find the missing side.
Answer:
24.8
Step-by-step explanation:
sin75 = 24/x
x = 24/sin75 = 24.8466 = 24.8 (nearest tenth)
17. what is the equation of the line with…
Answer:
[tex]y=\displaystyle \frac{1}{2}x+1[/tex]
Step-by-step explanation:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept.
We're given the x-intercept, -2, and the y-intercept, 1. We can directly plug the y-intercept into the equation [tex]y=mx+b[/tex] :
[tex]y=mx+1[/tex]
Now, we must solve for the slope. The x-intercept -2 gives us the point (-2,0), since the x-intercept occurs when y=0. Plug this point into the equation and solve for m:
[tex]0=m(-2)+1\\0=-2m+1\\-1=-2m\\\\\displaystyle m=\frac{-1}{-2} \\\\\displaystyle m=\frac{1}{2}[/tex]
Therefore, the slope of the line is [tex]\displaystyle \frac{1}{2}[/tex]. Plug this back into [tex]y=mx+1[/tex]:
[tex]y=\displaystyle \frac{1}{2}x+1[/tex]
I hope this helps!
Round 96.1825899389 to 4 decimal places.
Given equation x-y=2. Find x and y.
In need of desperate help it’s due in a few hours plssss!!
Answer:
x = -6 and y = -9
y = 0
Step-by-step explanation:
A vertical line is an x = equation. No matter what y equals, x will always be -6, so it's x = -6. A horizontal line is a y = equation. No matter what x equals, y will always be -9, so it's y = -9. Finally the equation of the x axis is simply y = 0 since any point on that horizontal line has a y coordinate of 0.
Answer:
x = -6 and y = -9
thectgod ig
find the value of 2 raise the power negative 6
Answer:
1 /64
Step-by-step explanation:
2^-6
We know that a^-b = 1/a^b
1 / 2^6
1/64
choose the equation below that represents the line passing through the point (1,-4) with a slope of 1/2
A survey asked 60 students if they play an instrument and if they are in band.
1.35 students play an instrument.
2. 30 students are in band.
3. 30 students are not in band.
Which table shows these data correctly entered in a two-way frequency table?
=======================================================
Explanation:
The table headers will look like choice A or choice C. Notice that we have simple yes or no questions along either the row or column labels; also, the labels are consistent. Choice B can be ruled out because the labels aren't consistent (or don't match up). Choice D is overcomplicated so it can be ruled out also.
We're told that 35 students play an instrument. That means 35 goes at the end of the "plays instrument" row, in the "total" column.
This is enough to see that choice A is the final answer
Furthermore, 30 students are in a band. So we have "30" at the bottom of the "band" column, and in the "total" row. The same applies to the 30 people not in band.
1. What property could you use to show that triangles ACT and ODG are congruent?
Answer:
SSS
Step-by-step explanation:
We do not know any of the angles, and we also do not know if the triangles are right triangles. Thus, SSS is the only option left. We know that all three sides are congruent anyway.
Answer:
SSS
Step-by-step explanation:
AC = OD
AT = OG
CT = DG
You have three congruent sides making ΔACT & ΔODG congruent by SSS.
The telephone numbers in a small town have two digits. They run from 00 to 99.
Of the 100 possible numbers, those that become smaller when reversed are not used, i.e. 21 is not used.
What is the maximum number of telephone numbers this town could have?
Answer:
[tex]55[/tex]
Step-by-step explanation:
We'll be using case-work to solve this problem. Let's call the ones digit of the telephone number [tex]B[/tex] and the tens digit [tex]A[/tex]. Each telephone number can be represented as [tex]AB[/tex].
Since the question states that numbers that are smaller when their digits are reversed are not used, we have the following inequality:
[tex]B\geq A[/tex]
This is because if [tex]A>B[/tex], the number would become smaller when [tex]A[/tex] and [tex]B[/tex] are switched in [tex]AB[/tex]. However, if [tex]A=B[/tex] or [tex]B>A[/tex], the number will not become smaller.
Let's work our way up starting with [tex]A=0[/tex]. If [tex]A=0[/tex], there are 10 other numbers (0-9) that we can choose for [tex]B[/tex] that adhere to the condition [tex]B\geq A[/tex]:
[tex]0B,\\01, 02, 03,...[/tex]
Therefore, there are 10 possible telephone numbers when the tens digit is 0.
Repeat the process, now assigning [tex]A=1[/tex]. Now, we only have the digits 1-9 to choose from for [tex]B[/tex], since [tex]B[/tex] needs to be greater than or equal to A. Therefore, there are 9 possible telephone numbers when the tens digit is 1.
This pattern continues. As we work our way up through the cases (when increasing [tex]A[/tex] by 1), the number of possible telephone numbers decreases by 1, since there becomes one less option for [tex]B[/tex].
The last case would be [tex]A=9[/tex] in which case there would only be one option for [tex]B[/tex] and that would be 9.
Since there are 10 cases (0-9), add up the possible telephone numbers for each case:
[tex]\displaystyle \sum_{n=1}^{10}n=1+2+3+4+5+6+7+8+9+10=\boxed{55}[/tex]
Alternatively, recall that the sum of this series can be found using [tex]\frac{n(n+1)}{2}[/tex], where [tex]n[/tex] is the number of values in the set. In this case, [tex]n=10[/tex], and we have:
[tex]1+2+3+4+5+6+7+8+9+10=\frac{10(11)}{2}=\frac{110}{2}=\boxed{55}[/tex]
Find the length of BC..
Answer:
45.1
Step-by-step explanation:
m<A = 51°
For angle A, BC is the opposite leg.
AB is the hypotenuse.
sin A = opp/hyp
sin 51° = BC/58
BC = 58 * sin 51°
BC = 45.1
tell me this i will make you brainlist
Answer:
Hope this help you more
have a great day
At noon, Garrett left Magnolia and headed North at 10 kph. At 2 p.m., Ben left Magnolia and headed North. If Ben was 15 km ahead of Garrett at 7 p.m., how fast was Ben
traveling?
Choose one answer.
O
a. 17 kph
o
b. 12 kph
c. 21 kph
Ο Ο
d. 16 kph
Answer:
Step-by-step explanation:
This is simple, but the extra numbers given in the form of the specific times might throw you off.
If Garrett leaves at noon and at 7 Ben is some distance ahead of him, that means that Garrett has been driving for 7 hours. Ben left at 2, so at 7 pm he has been driving for 5 hours. That's part of what's confusing. We'll put that in a table to hopefully make things easier:
d = r * t
G 7
B 5
We also know that Garrett is driving at 10 km/h, so:
d = r * t
G 10 * 7
B r 5
The r is because Ben's rate is our unknown. Look at the top of the table. That is the formula we are going to use to solve this problem: d = rt.
If Garrett drives for 7 hours at 10 km/hr, then the distance he has traveled is 70 km (that's found by multiplying the rate of 10 km/h by the time of 7 hours). Ben's rate, along those same lines of reasoning, is 5r. Fill that in:
d = r * t
G 70 = 10 * 7
B 5r = r * 5
Ok now the table is filled out. Let's look at the rest of the problem. It says that at 7 pm Ben's distance is 15 km more than Garrett's distance. The words "more than" indicate addition. In words that is
"Ben's distance is Garrett's distance plus 15 km" which translates to, mathematically speaking:
5r = 70 + 15 and
5r = 85 so
r = 17
Ben's rate is 17 km/h, choice a.
What number is square and a cube.
E.g.
2²=4
3³=9
What number has a cube root AND a square root??
Answer:
2²=4 is square root and 3³=9 is cube root
Step-by-step explanation:
because 3×3×3=3³and 2×2=2²
What is the nineteenth term of an arithmetic sequence with first term 9 and common difference 5?
Answer:
The 19th term is 99.
Step-by-step explanation:
We can write a direct formula and use it to find the 19th term. Recall that the direct formula for an arithmetic sequence is given by:
[tex]x_n = a + d(n-1)[/tex]
Where a is the initial term and d is the common difference.
Since the first term is 9 and the common difference is 5:
[tex]\displaystyle x _ n = 9+5(n-1)[/tex]
To find the 19th term, let n = 19. Thus:
[tex]x_{19} = 9+5(19-1)[/tex]
And evaluate:
[tex]\displaystyle \begin{aligned} x_{19} &= 9+5(18) \\ &= 9+90 \\ &= 99\end{aligned}[/tex]
The 19th term is 99.
A woman gave birth to twins. The baby girl was 6 lb. 5 oz. And the boy was 5 lb. 12 oz. How much did they weigh together?
Answer:
12lb and 7oz
Step-by-step explanation:
you can just add it together and get an answer
Answer:
11 lbs 17oz
Step-by-step explanation: