Answer:
Let x=number of girls in the class
Then x+27 =total number of students in the class
So our equation to solve is :
40% of (x+27)=x or
0.40(x+27)=x get rid of parens
0.40x+10.8=x subtract 0.40x from each side
0.40x-0.40x+10.8=x-0.40x collect like terms
Step-by-step explanation:
Enter in the missing numbers to create equivalent ratios. HELPPPPPPPPPPPPPPPPPPPP
Find the lateral area and the surface area of the composite solid. Keep answer in exact form.
10 cm
12 cm
1
1
1
1
32 cm
10 cm
Lateral Area
Surface Area
Answer:
a) Lateral area of the solid = 2011.43 [tex]cm^{2}[/tex]
b) Surface area of the solid = 2544 [tex]cm^{2}[/tex]
Step-by-step explanation:
a) Lateral area of the figure = 2[tex]\pi[/tex]rh
where; r is the radius of the cylinder, and h is its height.
Lateral area of the figure = 2 x [tex]\frac{22}{7}[/tex] x 10 x 32
= 2011.43 [tex]cm^{2}[/tex]
b) The surface area = 2[tex]\pi[/tex]r(r + h) - 2([tex]\frac{1}{2}[/tex] x b x h)
= 2[tex]\pi[/tex]r(r + h) - (b x h)
The height of the isosceles triangle can be determined by applying the Pythagoras theorem to have,
[tex]10^{2}[/tex] = [tex]6^{2}[/tex] + [tex]h^{2}[/tex]
100 = 36 + [tex]h^{2}[/tex]
[tex]h^{2}[/tex] = 100 - 36
= 64
h = [tex]\sqrt{64}[/tex]
= 8
h = 8 cm
The surface area of the solid = 2 x [tex]\frac{22}{7}[/tex] x 10 (10 + 32) - 12 x 8
= 2640 - 96
= 2544
The surface area of the solid is 2544 [tex]cm^{2}[/tex].
Find the equation of the exponential function represented by the table below:
Answer:
y = 0.2(0.5)^x
Step-by-step explanation:
Exponential function are of the form
y = ab^x
----------------------
To find "a" plug in x = 0 y = 0.2
0.2 = a(0.2)^0
0.2 = a
-------------------------
To find "b" plug in another point and a = 0.2
using x = 2, b = 0.05
0.05 = 0.2b^2
Divide both sides by 0.20
.25 = b^2
Take the square root of both sides
0.5 = b
-----------------------------
With a = 0.2 and b = 0.5 the equation becomes
y = 0.2(0.5)^x
Add the following and simplify if possible.
Answer:
2x+3
Step-by-step explanation:
solve the quadratic equation by completing the square: 6x²-11x-10=0
Step-by-step explanation:
6x² - 11x - 10 =0{use splitting middle term method} -60x²| |
-4. +15
(6x² - 4x) (15x - 10)2x( 3x - 2 ) +5( 3x - 2)(2x + 5) (3x - 2)2x = -5 or 3x = 2x = -5 or x = 2there fore x = 2Consider the equation x2 – 12x + 49 = 22. Which equation has the same solution(s) as the given equation?
Answer:
The correct solution is "x=3 or x=9".
Step-by-step explanation:
The given equation is:
⇒ [tex]x^2 - 12x + 49 = 22[/tex]
On subtracting "22" from both sides, we get
⇒ [tex]x^2-12x+49-22=22-22[/tex]
⇒ [tex]x^2-12x+27=0[/tex]
On factorizing the above equation, we get
⇒ [tex]x^2-9x-3x-27=0[/tex]
By taking common, we get
⇒ [tex]x(x-9)-3(x-9)=0[/tex]
⇒ [tex](x-3)(x-9)=0[/tex]
⇒ [tex]x-3=0[/tex]
[tex]x=3[/tex]
Or,
⇒ [tex]x-9=0[/tex]
[tex]x=9[/tex]
Can someone help me with this?
Answer:
I can help you via Watsapp
Find the equation of the line below.
10
(4,8)
(1/2)
H10
10
Answer:
y=1/2x
Step-by-step explanation:
Find the y-int (0) and get the slope : 1/2.
Answer:
Letter B .................
6th GRADE, PLS HELP ME WITH THE IMAGEEEE
Answer:
y=7x
Step-by-step explanation:
Take two points from the line and plug them into y2-y1/x2-x1. In this case, I chose (6,42) and (7,49). This will make the equation 49-42/7-6. This is equal to 7/1 or 7. Therefore, the equation is equal to y=7x.
If this helps please mark as brainliest
Step-by-step explanation:
6x7=42
7x7=49
8x7=56
9x7=63
determine if the two triangles are congruent. If they are, State how you know. NO LINKS!!!!
9514 1404 393
Answer:
SASnotSSSAASStep-by-step explanation:
Look at the angles and sides that are marked, and their relationships to each other. Shared sides are congruent to themselves. Vertical angles are congruent. The possible congruence theorems are ...
SSS SAS AAS ASA (and HL for right triangles--not applicable here)
__
1. two marked sides and the vertical angle between are congruent. The triangles are congruent by the SAS theorem.
2. only one side and angle are marked. Insufficient information. Not congruent.
3. two marked sides and the shared side are congruent. The triangles are congruent by the SSS theorem.
4. the vertical angles, the marked angles, and the marked sides are congruent. The triangles are congruent by the AAS theorem.
19 less than 28
Write as a algebraic expression
Answer:
A
Step-by-step explanation:
¿Cuál de las siguientes respuestas es equivalente a 5 km?
(3 puntos)
50.000 metros
500 metros
5.000 metros
0.005 metros
Answer:
5
[tex] 5 \times 100 = 500[/tex]
Plz help me well mark brainliest if correct!!...
9514 1404 393
Answer:
B) fifth grade boys
Step-by-step explanation:
55 tickets is halfway between the lines marked 50 tickets and 60 tickets. The bar that comes closest to that value is the right-most green bar, representing ...
fifth-grade boys
Which expression is equivalent to7sqrt x^2/ 5 sqrt y^3
?Assume y/=0,
Answer:
7sq rt = 2.6457513110645907 = sqrt y^3
Step-by-step explanation:
Mrs. Clark has 7 candy bars to share equally with all the students in his class. He gives each student 1/4 of a bar. None of the chocolate bar is left over. How many students does he have in his class?
Answer:
28
Step-by-step explanation:
7×4
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1.4 and its solved by the percentage of the 7
What is the value of y
Answer:
85 i thinkkkk
Step-by-step explanation:
Given the following regression output, what is the expected value for the change in daily circulation (the dependent variable) if a newspaper had 35 winners and finalists between 2004 and 2014 and 14 winners and finalists between 1990 and 2003?
Model parameters (Change in Daily Circulation, 2004-2013):
Source Value Standard error t Pr > |t| Lower Upper
bound (95%) bound (95%)
Intercept -0.328 0.042 -7.890 <0.0001 -0.412 -0.244
Pulitzer Prize
Winners and
Finalists,
1990-2003 -0.015 0.008 -1.873 0.067 -0.030 0.001
Pulitzer Prize
Winners and
Finalists,
2004-2014 0.024 0.008 2.837 0.007 0.007 0.040
Pulitzer Prize
Winners and
Finalists,
1990-2014 0.000 0.000
Answer:
0.512 ; - 0.538
Step-by-step explanation:
Using the standard linear regression relation :
y = bx + c
b slope ; c = intercept ; y = dependent ; x = independent variable.
For finalist between 2004 - 2014 ;
y = 0.024x - 0.328
x = 35
y = 0.024(35) - 0.328
y = 0.512
For finalist between 1990 - 2014 ; with 14 winners ; change in daily circulation :
y = -0.015x - 0.328
x = 14.
y = -0.015(14) - 0.328
y = - 0.538
Find the y-intercept and the axis of symmetry of f(x) = ax2 – 6ax +2.
The y-intercept is
and the axis of symmetry is x=
the width of a rectangular yard is 3 yards more than twice its length. the perimeter of the garden is 192 yards
Answer:
Step-by-step explanation:
W = 2L + 3, and:
P = 2W + 2L = 192
Substituting 2L + 3 for W, we get:
P = 2(2L + 3) + 2L = 192, or
4L + 6 + 2L = 192, or:
6L = 186
L = 186/6 = 31
The length is 31, the width is 62 + 3, or 65
Therefore, the perimeter P is P = 2(31) + 2(65) = 130 + 62 = 192 (OK!)
h
If the original principal of Jimmy
Christensen's account balance today
is $3,450.00, the balance after 2 years is
$3,485.95, and he made no other deposits,
how much interest did he earn?
A $123.95
B $34.95
C $3,485.95
D$35.95
the cost of 5 DVDs and a $15
Answer:
$3
Step-by-step explanation:
the cost of 5 DVDs and a $15
you didn't ask anything
Answer:
$3 because 15÷3= 5 so it is 3
Select all number combinations that COULD make a triangle
4 cm, 5 cm, 7 cm
5 cm, 6 cm, 11 cm
2 cm, 9 cm, 10 cm
3cm, 4 cm, 10 cm
Answer:
2 cm, 9 cm, 10 cm
Step-by-step explanation:
To know if a combination is a triangle all you have to do is see if the combinations add up to 180
(2)(9)(10)=180 therefore it is a triangle.
All the other angles do not add up to 180 so they can't be triangles!!
(4)(10)(3) =120
(5)(6)(11) =330
(4)(5)(7) =140
state if the triangles in each pair are similar. if so state how you know they are similar and complete the similarity statement
Answer:
Similar, SSS similarity JKL
Step-by-step explanation:
#2Need help ???!!! For an exam. Please don’t send any links !!! Cannot open. Thank you and answer below please and thank!
Can somebody please help me out please my grads are bad
Answer:
700mm
Step-by-step explanation:
.7 meters = 70cm = 700mm
Answer:
ASK A RABBIT
Step-by-step explanation:
Please help and show how you got the answer
Answer:
.11/4 multiply by any number inside the brackets 12x and also 12 to remove the brackets.
2.collect the like terms 3x+8x=11x
3. Then final answer is 11x+3.
Answer:
11x + 3 is the simplest form
Step-by-step explanation:
1/4 (12x + 12) + 8x
First distribute the 1/4 to both terms in the parentheses
= 3x + 3 + 8x
then combine like terms
= 11x + 3
We can't solve for x, only simplify this equation.
Write the hourly wage 15 dollars an hour as a fraction
it can be written like this, hope this helps: $15/hour <3
The hourly wage 15 dollars an hour as a fraction is $15/1hr.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
There is a fraction, containing numerator(upper value) and denominator(lower value).
When the numerator is less than the denominator, the fraction is called proper fraction, otherwise it is called improper fraction.
A proper fraction is also called fraction which is less than 1.
And an improper fraction is ≥ 1
A mixed fraction contains a sum of whole number and a proper fraction.
Given;
wage of 1hour = $15
In fraction;
15dollars/1hour
Therefore, the answer in fraction will be 15/1
Learn more about fraction;
https://brainly.com/question/729654?referrer=searchResults
#SPJ2
Help with Math Question 1
Answer:
Step-by-step explanation:
X is also 67° Like the interior angle
There are 10 bags of cereal in a pantry. Each serving of cereal is 1/8 of a bag.
How many servings of cereal are there in the bags in the pantry?
Answer:
80 servings
Step-by-step explanation:
there is 8 serving per bag
Answer:
80
Step-by-step explanation:
Let servings be s and the bag be b
s = 1/8 b
multiply both sides by 8
8s = b
For 10 bags, it will be 10*8s = 80s which is 80 servings.
Solve 7x^2–20x = 3.
;
Answer:
x=3, -1/7
Step-by-step explanation:
7x^2-20x-3=0
Factor.
(x-3)(7x+1)=0
x-3=0 ⇒ x=3
7x+1=0 ⇒7x=-1 ⇒x= -1/7
Answer:
[tex]x = \frac{-1}{7}[/tex] or [tex]x = 3[/tex]