The other no. is:
32
As you can see that in the ratio given, 3 is the smaller no. and 12 too.
So when we divide 12 by 3, we get 4
Then to find the other no. we need to multiply 4 with 8 (which is the other no. in the ratio given)
Therefore, we get the other no. as 32
And also when you divide 12 by 32,
You get the answer as 3 by 8 (which is the given ratio)
Hope you found this helpful!
THANK YOU!!
∝ Sidhdi
The mean number of books read
last year by a group of students is
normally distributed with a mean of 10
and a standard deviation of 6. If Austin
is 0.5 standard deviations below the mean
and Kaleigh is 2 standard deviations
above the mean, how many more books
did Kaleigh read than Austin?
Answer:
I thing Kaleigh read 1.5 more than Austin
Step-by-step explanation:
Write the center and radius for the following circles
Given:
The equations of circle are
4. [tex]\left(x+\dfrac{2}{3}\right)^2+(y+1)^2=24[/tex]
5. [tex](x-1)^2+(y+2)^2=28[/tex]
6 .[tex](x+12)^2+y^2=\dfrac{3}{64}[/tex]
To find:
The center and radius for the given circles.
Solution:
The standard form of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where, [tex](h,k)[/tex] is center and [tex]r[/tex] is the radius of the circle.
4.
The equation of the circle is
[tex]\left(x+\dfrac{2}{3}\right)^2+(y+1)^2=24[/tex]
The standard form of this circle is
[tex]\left(x-(-\dfrac{2}{3})\right)^2+(y-(-1))^2=(\sqrt{24})^2[/tex]
[tex]\left(x-(-\dfrac{2}{3})\right)^2+(y-(-1))^2=(2\sqrt{6})^2[/tex]
Therefore, the center of the circle is [tex]\left(-\dfrac{2}{3},-1\right)[/tex] and the radius of the circle is [tex]2\sqrt{6}[/tex].
5.
The equation of the circle is
[tex](x-1)^2+(y+2)^2=28[/tex]
The standard form of this circle is
[tex](x-1)^2+(y-(-2))^2=(\sqrt{28})^2[/tex]
[tex](x-1)^2+(y-(-2))^2=(2\sqrt{7})^2[/tex]
Therefore, the center of the circle is [tex]\left(1,-2\right)[/tex] and the radius of the circle is [tex]2\sqrt{7}[/tex].
6.
The equation of the circle is
[tex](x+12)^2+y^2=\dfrac{3}{64}[/tex]
The standard form of this circle is
[tex](x-(-12))^2+(y-0)^2=(\sqrt{\dfrac{3}{64}})^2[/tex]
[tex](x-(-12))^2+(y-0)^2=\dfrac{\sqrt{3}}{8}[/tex]
Therefore, the center of the circle is [tex]\left(-12,0\right)[/tex] and the radius of the circle is [tex]\dfrac{\sqrt{3}}{8}[/tex].
Which quadratic function has a vertex point of (3,5) and passes through the
point (-2,55)?
9514 1404 393
Answer:
f(x) = 2(x -3)² +5
Step-by-step explanation:
For vertex (h, k) and scale factor 'a', the vertex form is ...
f(x) = a(x -h)² +k
We can fill in the values of h and k from your vertex, and use the values of the extra point to find 'a'.
55 = a(-2 -3)² +5
50 = 25a . . . . . . . . subtract 5
a = 2 . . . . . . . . . . . divide by 25
So, the function is ...
f(x) = 2(x -3)² +5
__
In standard form, that will be ...
f(x) = 2x² -12x +23
If anyone could help also step by step please with work
9514 1404 393
Answer:
m = 1/3
Step-by-step explanation:
Step 1. Pick a line of the table to use as (x1, y1).
Step 2. Pick a different line of the table to use as (x2, y2).
Step 3. Use the slope formula:
m = (y2 -y1)/(x2 -x1)
Step 4. Simplify the result.
__
Here are these steps for this problem.
1, 2. use (x1, y1) = (-9, -5) and (x2, y2) = (-3, -3)
3. m = (-3 -(-5))/(-3 -(-9)) = 2/6
4. m = 1/3
PLS HELP ME IM AWARDING BRAINLIEST!
Answer:
First option: 336
Step-by-step explanation:
To find the answer, separately solve for each of the shapes.
1. The base is the square so length times width is the formula:
12 x 12 = 144
144 is the area of the square
Next, find the 4 triangles which are congruent(the same).
Triangle area formula: Base x Height divided by 2.
So, the area of 1 triangle is 12 x 8 =96
96/2 = 48
Area =48
Because there are 4 triangles, do 48 x 4=192.
Finally, add the area together and you should get 192+144 =336 ft^2
Surface area = 336 ft^2
A number Q has a remainder of 3 when divided by 5 and also has a remainder of 4 when divided by 8. What is the smallest value Q can have?
evaluate the expression
I 13 I + I -2 I
Answer:
15
Step-by-step explanation:
Apply absolute rule: | a | = a, a ≥ 0
| 13 | = 13
= 13 + | -2 |
| -2 | = 2
= 13 + 2
= 15
help help help please!!!! it was due a week ago!!!!
Q1. Prasha has five blocks of wood. The total weight of all five blocks of wood is 3 kilograms. 4 of the blocks of wood each have a weight of 650 grams. Work out the weight, in grams, of the other block of wood.
Answer: Weight of the remaining block of wood =400g
Step-by-step explanation:
Total Weight of five(5) blocks = 3kg = 3000g
Weight of 4 out of the 5 blocks = 650x 4= 2600g
Weight of the remaining block of wood =Total Weight of five(5) blocks-Weight of 4 out of the 5 blocks
= 3000g-2600g
=400g
help asap
could someone please explain how to solve/answer this?
much appreciated
HEY CAN ANYONE PLS ANSWER DIS MATH PROBLEM!
If you can do this whole thing I will give you the brainliest JUST PLEASEE HELPPP MEEEE
Answer:
this hurts my brain x_x my non-existent brain....
A costume designer needs to make 12 costumes for the school play. Each costume requires 223 yards of fabric. How many yards of fabric does the costume designer need to make all the costumes?
Answer:
2676 yards
Step-by-step explanation:
12*223 is 2676
if each costume requires 223 yards then all you do is multiply the numbers
Item 6
Find the selling price.
Cost to store: $50
Markup: 10%
The selling price is?
50×100÷110=45.454545r6
please help besties
Answer:
200.96
Step-by-step explanation:
64x3.14=200.96
Answer:
A= 200.96in2
Step-by-step explanation:
8×8=64
64×3.14=200.96
Jeremy earned $33,000 after working for 44 weeks. How much money did Jeremy earn each week? Show Your Work
Answer: jimmy needs a new job
Step-by-step explanation:
Factor 8m^6 - 64n^12p^15. don't waste points and show steps and factors. please
Answer:
8(m⁶ - 8n¹²p¹⁵)
Step-by-step explanation:
Given:
8m⁶ - 64n¹²p¹⁵
The only part that we can factor out is in the coefficients. Because both terms use different variables, they can not be factored. However, both terms are divisible by eight, so we can say it equals:
8(m⁶ - 8n¹²p¹⁵)
And that is all the factoring that can be done.
Pls help I need this answer asap I got 10 min left :(
Answer:
Step-by-step explanation:
ZB=
Round your answer to the nearest hundredth.
B
?
5
2
С
А
Answer:
angle B = 66.42
Step-by-step explanation:
cos-1 B = [tex]\frac{adjacent}{hypotenuse}[/tex]
cos-1 B = [tex]\frac{2}{5}[/tex]
cos-1 B = 0.40
cos-1 of 0.40 is 66.4218
round to the nearest hundreth = 66.42
angle b = 66.42
HELP ME PLEASE 10 points!!!!!
tamika has $55 in her savings account. She plans on depostiting $5 per week into her account. Write and solve an inqequality to find out how many weeks she must save to have more than $100 in her account. Then interpet the solution
Answer:
x>9
Step-by-step explanation:
Tamika already has $55, which will stay the same independent of how much time passes. Since she deposits $5 per week, we can assign weeks a variable x. The amount of money in her account after x weeks is equal to 55+5x. If she must save over $100, we can create an inequality to solve for how many weeks must pass: 55+5x>100.
The question also asks to solve the inequality:
55+5x>1005x>100-55 (Subtract 55 from each side)5x>45x>9 (Divide each side by 5)This solution tells us that Tamika must save for more than nine weeks to have more than $100 in her account.
lmk if i made an error, hope this helps!!
Plz help I need it I don’t understand how to do these problems!
If side x has a length of 15 cm and side y has a length of 4 cm, then which value below could be the length of side z?
A.
20 cm
B.
21 cm
C.
17 cm
D.
10 cm
Given:
In a triangle, side x has a length of 15 cm and side y has a length of 4 cm.
To find:
The possible value of side z.
Solution:
In a triangle, the sum of two smaller sides must be greater than the largest side otherwise the triangle is not possible.
Case I: Let x be the largest side, then
[tex]y+z>x[/tex]
[tex]4+z>15[/tex]
[tex]z>15-4[/tex]
[tex]z>11[/tex] ...(i)
It is clear that [tex]y<x[/tex]. So, y cannot be a largest side.
Case II: Let z be the largest side, then
[tex]x+y>z[/tex]
[tex]15+4>z[/tex]
[tex]19>z[/tex] ...(ii)
From (i) and (ii), we get
[tex]11<z<19[/tex]
It means the value of z lies between 11 and 19.
From the given options, only 17 is the value which lies between 11 and 19. So, the possible length of side z is 17 cm.
Therefore, the correct option is C.
If the high tide was 18 feet and the low tide was 3 feet, what is the tidal range?
Answer: to get range you subtract the largest and smallest numbers. so 18-3= 15 therefor, 15 is the range.
Hope this helps :)
plzzzzzzzzzzzzz helpppp!!!!!!!!
Answer: 1. 34 degrees+34 degrees=68 180-68=112 so x=112 degrees
2. 84+22=106 180-106=74 so x=74 degrees
3. 126+20=146 180-146=34 so x=34 degrees
4. both angles on both sides are 40 so 40+40=80 180-80=100 so x=100 degrees
Step-by-step explanation: plz mark me brainliest [tap the crown on the bottom of an answer, if there isn't one then reload the page (there has to be 2 people who answered)]
why does a thick glass bottle crack when boiling water is suddenly poured inside it
Answer:
The glass expands
Step-by-step explanation:
Molecules move faster and spread out more in high temperatures. In the tightly packed glass, they don't have much space to expand, so the glass cracks
Which of the lines below is perpendicular to y= -2/5
A.y=-5/2x-9
B.y=-2/5x+8
C.y=5/2x+1
D.y=2/5x-3
Select all the sets of side lengths that will make a triangular shelf fit in a 90 1 point
degree corner of a room.
3 cm, 4 cm, 5 cm
2 cm, 3 cm, 4 cm
5 cm, 6 cm, 9 cm
6 cm, 8 cm, 10 cm
7 cm, 9 cm, 11 cm
This is Irequired question
PLEASE HELP AND LOOK AT MY OTHER RECENT QUESTIONS NOBODY EXCEPT A BOT IS ANSWERING 3
Answer:
1. 6cm , 8cm , 10cm
2. 3cm , 4cm , 5cm
Step-by-step explanation:
what is the radius of 28.26 cm
18.84
Hope this helps you!
Answer:
18.84
Step-by-step explanation:
Which product of prime polynomials is equivalent to 3x4 – 81x?
3x(x – 3)(x2 – 3x – 9)
3x(x – 3)(x2 + 3x + 9)
3x(x – 3)(x – 3)(x + 3)
3x(x – 3)(x + 3)(x + 3)
Given:
The expression is
[tex]3x^4-81x[/tex]
To find:
The product of prime polynomials which is equivalent to the given expression.
Solution:
We have,
[tex]3x^4-81x[/tex]
Taking out the common factors, we get
[tex]=3x(x^3-27)[/tex]
It can be written as
[tex]=3x(x^3-3^3)[/tex]
[tex]=3x(x-3)(x^2+3x+3^2)[/tex] [tex][\because a^3-b^3=(a-b)(a^2+ab+b^2)][/tex]
[tex]=3x(x-3)(x^2+3x+3^2)[/tex]
[tex]=3x(x-3)(x^2+3x+9)[/tex]
Therefore, the correct option is B.
Answer:
It's B
Step-by-step explanation:
HELP FAST. I WILL CASHAPP $5
On a certain hot summer's day, 540 people used the public swimming pool. The daily prices are $1.25 for children and $2.00 for adults. The receipts for admission totaled $822.75. How many children and how many adults swam at the public pool that day?
Answer:
There were 343 children and 197 adults.
Step-by-step explanation:
In order to solve this problem, you can use an equation after identifying the important information, like that there were 540 people, the cost for a child is $1.25, the cost for an adult is $2.00, and admission fees totaled $822.75:
where c = number of children, and a = number of adults,
c + a = 540
1.25c + 2a = 822.75
Now, you need to solve this system of equations by isolating one of the variables. I'll isolate c by multiplying the first equation by 2 since it's easier:
2c + 2a = 1080
- 1.25c + 2a = 822.75
= .75c = 257.25
Now, you can multiply both sides by 4/3 to find c:
c = 257.25 × 4 ÷ 3
c = 343
So there were 343 children. Now you can find the number of adults by substituting 343 for c in the first equation:
where c + a = 540 and c = 343,
343 + a = 540
a = 197
So, there were 197 adults.