Answer:the original number is 7
Step-by-step explanation:
Let the number be represented as X
so that when multiplied by 4 gives 4x
which on addition to 12 gives
4x +12=40
4x=40-12
4x =28
x=28/4=7
A sprinkler sprays water in a circular area up to 30 feet. A radius reduction screw lets people reduce the radius by up to 25%. What is the maximum area of lawn that can be watered if the radius reduction is at full capacity.
Answer: [tex]1590.63\ ft^2[/tex]
Step-by-step explanation:
Given
The sprinkler can water the area up to [tex]30\ ft[/tex] i.e. [tex]30\ ft[/tex] is the radius
If the screw leads to a reduction of 25% in radius, then the new radius is
[tex]r'=(1-0.25)r\\r'=0.75r\\r'=22.5\ ft[/tex]
So, the area corresponding to this radius
[tex]\Rightarrow \pi (22.5)^2\\\Rightarrow 1590.63\ ft^2[/tex]
Thus, the maximum area that can be covered is [tex]1590.63\ ft^2[/tex]
Find the sum: 50 + 48 + 46 ....+10
Answer:
630
Step-by-step explanation:
Understanding the Concept of a Limit
Answer:
D) DNE
Step-by-step explanation:
Because of the jump discontinuity located at (2,3) when x=2, h(2) is defined, but lim x->2 h(x) isn't defined. If it were a continuous function, then we can define the limit. In this case, we can't, so the answer is D as the limit does not exist (DNE).
A pair of shoes was originally priced at $100. The store owner gives a discount, and the shoes are now priced at $60.
Enter the percent discount for the pair of shoes.
Answer:
The discount is $40
Step-by-step explanation:
To find the discount you'll need to subtract the new price from the old one.
100 - 60 = 40
Answer:
60%
Step-by-step explanation:
60/100 x/100
60 * 100 = 6000
6000/100 = 60
= 60%
Solve the following right triangle. Round your answers to the nearest tenth. B = 28.3°, C = 90°, and c= 62.4 in.
Answer:
181º isnt a triangle.
Step-by-step explanation:
Find the angles marked with letters. (AB is always a straight line)
Answer:
Step-by-step explanation:
B
Answer:
A
Step-by-step explanation:
Below, the two-way table is given for a
class of students.
Total
Freshmen
Sophomore
Juniors
Seniors
Male
4
6
2
2
Female
3
4
6
3
Total
If a student is selected at random, find the
probability the student is a freshman. Round
to the nearest whole percent.
[?]%
My
The sample space (total number of students) = 30
total number of freshmen = 7
the freshmen = the event considered
.....therefore
probability = 7/30
%probability = 7/30 × 100%
= 23.33% ~ 23%
The solution is, The required probability is 3/4= 75%, is the probability the student is a freshman.
What is the probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.
here, we have,
We have to compute the probability,
P(Female |Junior) because we have to find the probability of the female student and the given condition is that the student is junior.
Determine the total number of juniors.
Juniors=2+6=8
Since the number of females who are junior is 6, determine the required probability.
P(Female|Junior)=6/8
=3/4
=75%
Therefore, the required probability is 3/4 = 75%.
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A new office building is opening downtown.
The largest office space available to rent
is 2,000 square feet. A company with 6
employees rents space in the building. Each
employee will have an equivalent amount of
office space, and there will be a 350 square
foot lounge space.
Which of the following can be used to
determine, s, the number of square feet of
office space each employee could receive?
Answer:it’s G
Step-by-step explanation:
What is the area of the triangle below? 8 17
Answer:
68 un²
Step-by-step explanation:
please help with this:)
what is the mean of 12,24,24 and 52?
Answer: 28
Step-by-step explanation: Mean will be the average of all your numbers divided by the amount of numbers you have. So
24+24+12+52=112
Now since you have 4 numbers divide 112 by 4
So your mean is 28
Have a wonderful day!
A pair of shoes that normally sells for $85.00 goes on sale for 35% off.
Sean thinks that the sale price should be $50.00 but Melanie disagrees and says the price should be $55.25. Aiyanna says they are both wrong and decides the price should be $29.75.
Who is correct and why?
a. Melanie is correct.
b. Sean is correct.
c. Aiyanna is correct.
Answer:
A
Step-by-step explanation:
Melanie is correct
85 x 0.35 = 29.75
85 - 29.75 = 55.25
Answer:
a. Melanie is correct
Step-by-step explanation:
35% of 85= 29.75
*Find this by finding 10% (move decimal place over) and five percent (half of ten percent) and add triple of 10% plus the 5% or look it up*
Subtract this from 85
85-29.75=
$55.25
Hope this helps! Have a nice day :)
Which equation can be used to find the volume of this solid? 6 in 8 in. 1 7 in. O V. 758 xa ov-+6+8 o v-7x6x8
Answer:
Option 1: V = pi(6)2(8)
Step-by-step explanation:
This is because when we plug in the value given in the picture.
Formula
The way we write this is by using our "r" which is 6. We plug in the 6 for "r" so the equation will look something like this:
Then we will plug in our height "h", which is 8. So the equation will look something like this:
So that's it. Very simple. Just remember to keep the formula in mind and you will get the hang of it.
I hope this help! :D
Equation to calculate volume of solid is V = 6 × 8 × 7
What is equation?An equation is a formula that expresses equality by connecting two expressions with an equal sign =. Equation consists of variables, constants and coefficients. Right side and left side of an equation are in equality.
There are different types of equations as linear equations, quadratic equation etc.
example: 2x + 5y + 7 = 0 is an equation
here, 2, 5 are coefficients of variables x and y, 7 is a constant value
2x² + 5x + 3 = 0 is a quadratic equation.
Given,
measurement of the sides of solid
length = 6in
Width = 8 in
Height = 7 in
Volume = Length×Width×Height
V = 6 × 8 × 7
Volume = 336 in³
Hence, V = 6 × 8 × 7 is the equation to calculate volume of solid.
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Use either the multiples method or the prime factors method to find the least common multiple of
14 and 6.
HELP DUE IN 10 MINS!
Circle R is defined by the equation ( x - 3)2 + ( y - 5)2 = 4. Select all of the points that lie on circle R.
A. (3,5)
B. (5,5)
C. (3,3)
D. (1,5)
E. (-1,5)
F. (3,7)
Answer:
B. (5,5)
C. (3,3)
D. (1,5)
F. (3,7)
Step-by-step explanation:
The equation of a circle with radius [tex]r[/tex] and center [tex](h, k)[/tex] is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
From this, we can find that the radius of the circle is [tex]\sqrt{4}=2[/tex] and the center of the circle is at [tex](3, 5)[/tex]. Therefore, the coordinates of all points exactly 2 units away from this center point will lie on the circle.
Out of all options given, the desired answers are:
B. (5,5)
C. (3,3)
D. (1,5)
F. (3,7)
These marbles are placed in a bag and two
of them are randomly drawn.
What is the probability of drawing two yellow
marbles if the first one is NOT placed back into
the bag before the second draw?
Give your answer as a rational number, reduced to
simplest terms.
[?]
Hint: Multiply the probability of the 1st Event by the
probability of the 2nd Event to get your answer.
Enter
Answer:
1/45
Step-by-step explanation:
P(Y,Y) = 2/10 x 1/9 which is 1/45 simplified
Solve the equation for x.
2/3 (6 – 9x) = 16
A) -2
B) -4
C) -9
D) -12
Answer:
A. - 2
Step-by-step explanation:
Given
2/3 ( 6 - 9x) = 16
or, 6 - 9x = 16 * 3 / 2
or, 6 - 9x = 24
or, - 9x = 24 - 6
- 9x = 18
x = 18 / - 9
Therefore x = - 2
Hope it will help :)❤
Mezclas de alimentos. Un chef repostero creó una solución de azúcar de 50 onzas constituida por 34% de azúcar con una solución de azúcar al 20% y otra solución al 40%. ¿Qué cantidad utilizó de la solución de azúcar al 20% y de la solución al 40%?
Answer:
Las cantidades empleadas para su preparación son: 15 onzas de solución al 20 % y 35 onzas de solución al 40 %.
Step-by-step explanation:
Podemos estimar la proporción de ingredientes mediante el siguiente promedio ponderado:
[tex]0.34= \frac{0.2\cdot m_{A} + 0.4\cdot m_{B}}{m_{A}+m_{B}}[/tex] (1)
Donde:
[tex]m_{A}[/tex] - Masa de la solución al 20 %, en onzas.
[tex]m_{B}[/tex] - Masa de la solución al 40 %, en onzas.
Podemos simplificar la formula como sigue:
[tex]0.2\cdot x + 0.4\cdot (1-x) = 0.34[/tex] (2)
Donde [tex]x[/tex] es la proporción de la solución al 20 % dentro de la solución final, sin unidades.
Ahora resolvemos para [tex]x[/tex] en (2):
[tex]0.4-0.2\cdot x = 0.34[/tex]
[tex]0.2\cdot x = 0.06[/tex]
[tex]x = \frac{0.06}{0.2}[/tex]
[tex]x = 0.3[/tex]
Este resultado quiere decir que la solución al 34 % es el resultado de 30 % de la solución al 20 % y 70 % de la solución al 40 %. Si conocemos que la solución final tiene una masa de 50 onzas, entonces las cantidades empleadas para su preparación son: 15 onzas de solución al 20 % y 35 onzas de solución al 40 %.
A concert starts at 7:00 p.M. The chorus performs for 30 minutes. There is a 15-minute break and then the band performs for 30 minutes. What time does the concert end?
Answer:
8:15 pm
Step-by-step explanation:
A concert starts by 7:00pm
They perform for 30 minutes
There is a 15 minutes break
The band performs for another 30 minutes
Hence the concert will end by 8:15 pm
Please help as soon as possible
Answer:
d, b + b + 3c and 2b + 3c
Step-by-step explanation:
Select the correct answer.
Which function is represented by this graph?
A.
f(x) = |x + 7| − 3
B.
f(x) = |x − 7| − 3
C.
f(x) = |x + 3| − 7
D.
f(x) = |x − 3| − 7
Answer:
answer D
Step-by-step explanation:
Answer:
f(x) = |x − 7| − 3
Step-by-step explanation:
Please help me need this by today thank you!!!
I NEED HELP WITH THIS ASAP
Answer:
1) Most likely Graph A
2) Appears to Decrease more
Step-by-step explanation:
1) It has a more dramatic decrease in the graph, and a more fitting spacing between the numbers on the Y Axis.
2) Same Reasoning
Hello! Could someone help me answer this I got the first part right but the 2nd part wrong, even though I am pretty sure I did the math right.
a) x = 77 degrees
b) B - alternate angle
(The angle that shows 'Z' shape is alternate as both the angles are equal)
Answer:
[tex] \large{ \tt{☄ \: STEP - BY - STEP \: EXPLANATION}} : [/tex]
PART - 1 :
We're provided the value of Angle ABF i.e 77° & we're asked to find out the value of x. Let's start :❃ Firstly , Let's explore about Alternate angles :
Alternate angles can be defined as the pair of interior angles which lies to the opposite side of transversal. It usually forms ' Z ' shape & Alternate angles are always equal.
A. [tex] \large {\tt{⟿ \: x = \boxed{77 \degree}}}[/tex] [ Since AD [tex] \parallel[/tex] EH and being alternate angles ]
The value of x is 77° .
PART - 2 :
[tex] \boxed{ \boxed{ \large{ \text{Alternate \: Angles}}}}[/tex]✺ If there's something else going on in your life and you can't get it off your mind : Write down what's going through your head , sort of like a diary entry. It'll help you work things out ! ♪
ツ Hope I helped! ♡
☼ Have a wonderful day / evening ! ☃
# StayInAndExplore ! ☂
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PLS HELP if x - 2y = 1 and 2x - y = -4, then x + y =
Answer:
[tex]-5[/tex]
Step-by-step explanation:
[tex]x-2y=1[/tex]
[tex](-3)-2(-2)=1[/tex]
[tex](-3)+(4)=1[/tex]
x = -3, y = -2
-3 + -2 = x + y = -5
Use the diagram to answer the question.
Answer:
A. [tex] \cos \theta =\frac{7}{25} [/tex]
Step-by-step explanation:
[tex] \cos \theta=\frac{Adjacent\: side}{Hypotenuse} \\\\=\frac{7}{25} [/tex]
Hope it helps you in your learning process
I am kinda new here. I joined a few days ago because I wanted to help. I have a question. Can we post any questions on Brainly? Most of the questions I find are all from Edge.
Just asking...
Answer:
yeah most likely
Step-by-step explanation:
MARK ME BRAINLIEST PLZZZZZZZZZZZZZZZZZZzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzAnswer:
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If 3 meters of a pinya cloth cost P200, how much will 9 meters of the same cloth cost? *
9 meters cost P600
Step-by-step explanation:
3×3 = 9
p200×3 =P600
If anyone could explane how to get the answer to any of these questions that would be great also explain how you got the answer
Answer:
11 A. p-r=x B. a+b+c=x C. x=z-3y D. x=2p E. [tex]2a^{2}[/tex]=x F. x=p+2mn
12 A. [tex]\frac{m}{n}[/tex]=y B.y=[tex]\frac{a}{b^{2} }[/tex] C.[tex]\frac{p+3}{q}[/tex] =y D.[tex]\frac{g-h}{f}[/tex]=y E. y= [tex]\frac{x}{ab}[/tex] F.y=[tex]\frac{r}{6.14}[/tex]
Step-by-step explanation:
11. a.For all I did was to eliminate r on one side by subtracting it and doing it to the other side and get x by itself
b. This equation I just added c on both sides and got x all by itself and got a+b+c=x
c. I subtracted 3y on both sides to leave x by itself and get x=z-3y
d. I combined like terms and since I subtract 3p to cancel it off and I do it to the other side and combine 5p and -3p and get 2p and to finalize it my answer was x=2p
e. Same process as the last equation I combine like terms and [tex]ax^{2}[/tex]+a itself is [tex]2a^{2}[/tex] so
f.on this one I would also combine like terms since there are 2 mn's so I would cancel out -mn by adding mn and doing it to the same side and mn+mn=2mn, and no changes to p so x=p+2mn.
12. A.any variable attached to another variable is a sign of multiplication, so I can do the inverse to get y itself by dividing by n and do the same to the other side. [tex]\frac{m}{n}[/tex]=y.
B. I divided b^2 from b^2y and did it on both sides, and my new answer will be y=[tex]\frac{a}{b^{2} }[/tex]
C. to get y by itself, I need to divide q on both sides but the most important thing is what im gonna divide q by and that's p+3 so when I do that I get[tex]\frac{p+3}{q}[/tex] =x
D. first I subtracted h on both sides and the new equation is g-h=fy. But I'm not done yet because y is still not by itself. So now I will divide f on both sides and get [tex]\frac{g-h}{f}[/tex]=y.
E. Same method as last time we just divide the variables on both sides. ab divided on both sides and my final equation will be y= [tex]\frac{x}{ab}[/tex].
F. This one seems more complex in terms of strategizing this out. So what I did is that I used the distributive property for y([tex]\pi[/tex]+2) and when solving it out I got 3.14y+2y=r. Now, I can combine the like terms and solve for y after. 3.14y+2y=6.14y. I can divide 6.14 on both sides to get y by itself and my final answer will be y=[tex]\frac{r}{6.14}[/tex].
Is algebra.
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