Answer:
The number would be 90
Step-by-step explanation:
140 + 10 - 90 = 60
90 - 30 = 60
60 = 60
Answer: 90
Step-by-step explanation:
Let's use x as a placeholder to the number we are trying to find
[tex]140+10-x=x-30[/tex]
Now we need to isolate x
Step 1) Simplify both sides
[tex]140+10-x=x-30\\150-x=x-30[/tex]
Step 2) Add 30 to both sides
[tex]150-x+30=x-30+30\\180-x=x[/tex]
Step 3) Add x to both sides
[tex]180-x+x=x+x\\180=2x[/tex]
Step 4) Divide both sides by 2
[tex]\frac{180}{2}=\frac{2x}{2} \\90=x[/tex]
Step 5) Sub our value into the original equation and solve
[tex]140+10-x=x-30\\140+10-90=90-30\\150-90=60\\60=60[/tex]
2x squared + 13x - 24 =0
Answer: (2x - 3)(x + 8)
Step-by-step explanation:
2x² + 13x - 24 = 0, where is equal ax² + bx + c = 0 form. We get a = 2, b = 13, c = -24.
When a is not equal to 1, we multiply a and c. ac = 2(-24) = -48.
b in the equations means that the sum of two factor of ac is equal to 13. Then we need to find which two factor is add up to 13. In this case, we get -3 and 16.
2x² + 13x - 24 = 0
2x² + 16x - 3x - 24 = 0
2x(x + 8) - 3(x + 8) = 0
(2x - 3)(x + 8) = 0
Answer: x = -8, x = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
This is a quadratic equation since it is in ax² + bx + c = 0 form! We will use the formula and use PEMDAS, the order of operations, while solving as well.
The quadradic formula, then plugging in to solve:
(please note before the square root is a ± sign. Brainly text editor will not allow me to add it)
[tex]x = \frac{-b\sqrt{b^{2} -4ac } }{2a}[/tex]
[tex]x = \frac{-13\sqrt{13^{2} -4(2)(-24) } }{2(2)}[/tex]
[tex]x = \frac{-13\sqrt{169 -4(2)(-24) } }{4}[/tex]
[tex]x = \frac{-13\sqrt{169 +192 } }{4}[/tex]
[tex]x = \frac{-13\sqrt{361 } }{4}[/tex]
Now it breaks into two parts:
[tex]x = \frac{-13-19}{4}[/tex] and [tex]x = \frac{-13+19}{4}[/tex]
[tex]x = \frac{-32 }{4}[/tex] [tex]x = \frac{6}{4}[/tex]
x = -8, x = [tex]\frac{3}{2}[/tex]
A function, f(x), has a domain of --10 ≤ 2 < 20 and range -40 < f(I) < -10.
f(1)=-13
f (-10) =-40
Select each statement that must be false about f(x).
1. f(0)= 0
2. f(1) = 13
3. f(-15) =- 20
4. f(-9) = 88
5. f(5)- 40
By using the given domain and range, we will see that the false statements are:
1. f(0)= 02. f(1) = 133. f(-15) =- 204. f(-9) = 88Which statement is false?
What we know about the function f(x) is:
The domain is: -10 ≤ x ≤ 20
The range is: -40 ≤ f(x) ≤ -10
Which statements are false:
1) f(0)= 0
This is false, because the maximum value of the range is -10, so f(0) can't be equal to zero.
2. f(1) = 13
Same reasoning than above, 13 is outside of the range.
3. f(-15) =- 20
The smallest value on the domain (possible inputs) is -10, so the input -15 is not in the domain.
4) f(-9) = 88
88 is outside the range of the function, so this is false.
If you want to learn more about functions, you can read:
https://brainly.com/question/4025726
A bag contains 10 yellow cubes, 5 red cubes, and 15 blue cubes. Determine whether the following event is impossible, unlikely, as likely as not, likely, or certain.
A red cube is randomly drawn from the bag.
Answer:
I would say likely.
Step-by-step explanation:
I hope this helps.
To read her book report book, Jodi needs to read 365 pages in 10 days. Choose the correct equation and answer for this situation.
A. 365÷10 = 365/10 = 36 5/10=36 1/2 pages
B. 365 ÷ 10= 2/73 pages
C. 10÷365 = 365/10 = 3 5/10= 3 1/2 pages
D. 10÷365 = 2/73 pages
(PLS ANSWER ONE OF THE OPTIONS)
Answer: A
Step-by-step explanation:
365/10 is the best way to figure it out
Answer:
A. 365÷10 = 365/10 = 36 5/10=36 1/2 pages
Explanation:
rate = total pages/total days
Here:
total pages = 365 pagestotal days = 10 daysRate:
365 ÷ 10 = 365/10 = 36 1/2 pages per day
What is the answer this math problem. -6+ -(8x - 3)
Answer:
x = -3÷8
or x = -0.375
Explanation:
-6+ -(8x-3)= -6-8x+3
= -8x -3
-8x-3= 0
-8x = 3
8x = -3
x = -3÷8
Find the range: 40, 90, 36, 68, 90, 11, 88, 54
Answer:
79
Step-by-step explanation:
90-11=79
Answer:
79
Step-by-step explanation:
To find the range, subtract the biggest number and the smallest number. In this case, it would be 90-11 which is 79.
Find three rational numbers between - 2 and - 3
And please write in step by step explination.
Step-by-step explanation:
follow these steps with tbe no. of -2 and - 3 you will come with answer
Answer:
- 21/10, -5/2 and -11/4.
Step-by-step explanation:
Rational numbers can be written as a/b where a and b are integers ( b not zero).
So three naumbers between - 2 and -3 are
-2.1, -2.5 and -2.75 which can be written as:
- 21/10, -5/2 and -11/4.
Jenny paid $8.54 for a pizza. She now has $16.79. With how much money did she start
It needs to be written as an equation
Answer:
16.79 - 8.54= ? so the answer is 8.25
Step-by-step explanation:
~Hope this helps you~
14 White shapes and black shapes
Some of the shapes are circles.
All the other shapes are squares
are used is a game
The ratio of the number of white shapes to the number of black shapes is 3:7
The ratio of the number of white circles to the sumber of white squares is 4:5
The ratio of the number of black circles to the number of black squares is 2:5
Work out what fraction of all the shapes are circles.
Answer:
1/3
Step-by-step explanation:
Check the attachment.
If tu = 6 units, what must be true? su ut = rt rt tu = rs rs su = ru tu us = rs
In the provided figure of line segment RS, the statement which is true is su + ut = rt. Option A is correct.
What is the length of line segment?Length of a line segment is the distance of both the ends of it.
The length of the line segment TU is 6 units.
[tex]TU=6\rm\; units[/tex]
In the figure attached below, the length of line segment RT is 12 and RS is 24. Thus, the value of RS is double than the value of RT.
[tex]RT=2RS\\RS=\dfrac{RT}{2}[/tex]
RS is the total length of the segment, which is equal to the length of RT and ST.
[tex]RT+ST=24\\12+(SU+UT)=24\\(SU+UT)=24-12\\SU+UT=12[/tex]
12 is the length of RT. Thus,
[tex]SU+UT=RT[/tex]
Hence, in the provided figure of line segment RS, the statement which is true is su + ut = rt. Option A is correct.
Learn more about the line segment here;
https://brainly.com/question/2437195
#SPJ1
Help please an explanation would be appreciated!!
An architect notices that the scale on a blueprint he is using has been torn off. However, he sees that a 21.6-foot wall that has been built is 6 inches long on the blueprint. What is the scale for this blueprint?
A. 1 in. : 3.6 ft.
B. 1 in. : 6.3 ft.
C. 1 in. : 36 ft.
D. 1 in. : 63 ft.
Answer:
The answer is - A. 1 in. : 3.6 ft.
Step-by-step explanation:
In order to get the scale on the blueprint we just have to divide the measure in real time by the number of the blueprint, if we know that there´s a wall that is 21.6 feet long, and in the blue print is 6 inches long we just divide it:
scale: 21.6/6
scale: 3.6
So, now we know that for every inch in the blueprint there has to be 3.6 feet on the real construction.
(I hope I helped you)
For time measured in seconds, where t is greater than or equal to zero, the velocity of a particle
Answer: So, to find velocity we take the first derivative of the equation.
just in case you do not know how to take a derivative or a polynomial
the derivative of axn = naxn-1 where a is a coefficient and n is the exponent.
s' = 3t2 - 24t +36 this is your velocity in time t.
to solve for your velocity at t = 3 seconds we will plug 3 seconds into any t in the velocity equation.
s' = v this is just stating that s' is equal to your velocity
v = 3(3)2 - 24(3) + 36
v = 27 - 72 + 36
v = -9 m/s
to find when the particle is at rest we must consider the at rest velocity which is 0. An object at rest has no velocity(only applies to Newtonian mechanics)
so, we will change v to 0 and solve for t
0 = 3t2 - 24t + 36
to solve this we need to factor to quadratic equation.
to solve this we first will factor out 3 from the equation.
0 = 3(t2 - 8t + 12)
now we can factor. we need two numbers that when multiplied together give 12 but when added give -8. since the addition is negative and the multiplication is positive we know that we are dealing with two negative integers.
we end up with
0 = (t-2)(t-6) the three was divided on both sides to eliminate it from the equation.
so, the particle is at 0 at t = 2 seconds and t = 6 seconds.
Now, just because the particle has 0 velocity does not mean it has no acceleration. However, I do not believe the acceleration is important for this problem.
To find when the particle is moving forward you must consider again when it is at 0. When it is at 0 a speed change is happening. So, to find out if velocity is positive or negative we will test a number before 2 after 2 but before 6 and after 6.
So, we can start with t = 0 for the before 2 number
v = 3(0) - 24(0) + 36
we get v = 36 which is positive. So, the particle was moving forward before 2 seconds.
now we have already used 3 seconds and we got a negative velocity. So, the particle is moving backwards at t = 3 seconds.
So the last one to check is after 6 seconds. We will choose 10 for this one because it is easy to multiply with.
v = 300 - 120 + 36 = a positive number. You do not actually need to know what number as long as you know it is positive. That means the particle was moving forward after 6 seconds.
to find the total distance traveled we must break up the distance equation by direction of travel. So, we must take the distance traveled by the particle in pieces using the original equation.
s = t3 -12t2 + 36t
first we will solve for the distance traveled in 2 seconds.
s = 8 - 48 + 72 = 32 meters
Now we will solve for 6 seconds and figure out the distance traveled from 32 meters in the opposite direction. Then we will add the two numbers together.
s =216 - 432 + 192 = -24 meters
To find the distance travelled between 2 and 6 seconds we add the absolute value of the values together.
We end up with distance traveled between 2 and 6 seconds was
56 meters
we then add this to the original 24 meters to get the distance traveled from 0 to 6 seconds of
88 meters
then we solve for the distance at 8 seconds
s = 512 - 768 + 288 = 32 meters
so, again we add the absolute values of the previous time interval with the one we just calculated for.
24 + 32 = 56 meters. So, the particle traveled back up at this point.
We add the new 56 with the current total of 88 meters to get
total distance traveled = 144 meters
this shows us that the particle is moving in a wave pattern from 0 to 8 seconds. So, if you were to draw a graph you would have a particle start at s = 0 and t = 0, then the particle would move much like the graph of sine instead of stopping at 1 it would stop at s = 32 then drop down to s = -24 and rise up continuously after that.
Step-by-step explanation:
Ms. O'hara brought 2 bags of cookies and 1 pie from Carl. She paid with a $20 bill. What is the total amount of change, in dollars, Ms. O'hara should receive?
A bag of cookies sells for $3.
A pie sells for $8.
Answer:
$6.00 (Six dollars)
Step-by-step explanation:
Two bags of cookies = $6 (2 x $3)
One pie = $8
$6 + $8 = $14
$20-$14 = $6
Ms. O'hara should receive $6 in change.
pls help asap tysm: suppose 4
can you maybe write down the questions on my comment in here?
2. Which ordered pair is a solution of the equation y =
-11x + 4? Make sure you show work!
a. (0,-7)
b. (-1,-7)
c. (1, -7)
d. (2,26)
Answer:
c. (1, -7).
Step-by-step explanation:
Substitute the given values to see which set fits:
y = -11x + 4
Try (0, -7):
-11(0) + 4 = 4 . Not this one as we are looking for the result -7.
Try (-1, -7):
-11(-1) + 4 = 11+4 = 15. Not this one as we are looking for the result -7.
Try (1, -7):
-11(1) + 4 = -11+4 = -7. This is correct.
Find the area of the polygon.
Answer:
95 m
Step-by-step explanation:
you can split the shape into three pieces so it is 4x5, 4x5, and 11x5. Add the products for the area which is 95 m
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Using the Pythagorean theorem:
X^2 = 10^2 + 24^2
X^2 = 100 + 576
X^2 = 676
X = sqrt(676)
X = 26
answer: 26
Answer:
26 :)
Step-by-step explanation:
Pythagorean theorem: a^2 + b^2 = c^2
Lets solve!!
10^2 + 24^2 = c^2
100 + 576 = c^2
676 = c^2
Now lets find the square root!!
[tex]\sqrt{676}[/tex] = 26
Have an amazing day!!!
Please rate and mark brainliest!!
Yo imma need this quick.
Answer:2 11/12
Step-by-step explanation:
7/12+28/12= 35/12= 2 11/12
28/12=7/3 btw
2 4/12+7/12=2 11/12
Answer:
Ok the answer is going to be 35/12
try that I hope I helped you
Step-by-step explanation:
help me with this question please
Answer:
I'm sorry I don't know wish I could help you out
help me please i am so confused please
Answer: 75$
Step-by-step explanation:
1/4 is equal to 25/100.
meaning that 1/4 is 25 out of 100.
Based on that, if we subtract 25 from 100 we get 75.
Factorise 9x2+49y2-42xy-30xz+70yz
the equation can not be factored ^
Please help me with this problem I’m very confused and cannot figure it out
C
250
4.9 cm
80°
A
3.8 cm
D
B
ABC is a triangle.
D is a point on AB.
Work out the area of triangle BCD.
Give your answer correct to 3 significant figures.
Answer:
[tex]10.4\: \sf cm^2\:(3\:sf)[/tex]
Step-by-step explanation:
[tex]\Large\boxed{\sf Formulae}[/tex]
Sine Rule
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]
(where A, B and C are the angles and a, b and c are the sides opposite the angles)
Cosine rule
[tex]c^2=a^2+b^2-2ab\cos C[/tex]
Area of a triangle
[tex]\textsf{Area of a triangle}=\dfrac12ab\sin C[/tex]
where:
C is the anglec is the side opposite the anglea and b are the sides adjacent the angle[tex]\Large\boxed{\sf Calculation}[/tex]
To find the area of ΔBCD, find:
length of CDangle CDBlength of BDThen use the sine rule for area of a triangle
Calculate length CD using cosine rule:
[tex]\implies CD^2=4.9^2+3.8^2-2(4.9)(3.8)\cos 80^{\circ}[/tex]
[tex]\implies CD^2=31.98334186...[/tex]
[tex]\implies CD=5.655381673...\:\sf cm[/tex]
Calculate ∠ADC using sine rule:
[tex]\implies \dfrac{\sin 80}{CD}=\dfrac{\sin ADC}{4.9}[/tex]
[tex]\implies ADC=\sin^{-1}\left(\dfrac{4.9 \sin 80}{CD}\right)=58.568949^{\circ}[/tex]
Therefore, ∠CDB = 180° - 58.568949° = 121.431051°
Use sine rule to calculate DB:
[tex]\implies \dfrac{DB}{\sin 25}=\dfrac{CD}{\sin CBD}[/tex]
[tex]\implies DB=\dfrac{5.655381673\sin25}{\sin 33.568949}=4.322471258..\: \sf cm[/tex]
[tex]\Large\boxed{\sf Solution}[/tex]
Use the sine rule for area of a triangle to find area of ΔBCD:
[tex]\implies A=\dfrac12(CD)(DB)\sin CDB[/tex]
[tex]\implies A=\dfrac12(5.655381673)(4.322471258)\sin (121.431051)[/tex]
[tex]\implies A=10.4\: \sf cm^2\:(3\:sf)[/tex]
Hello Brainilest Brains, I was wondering what 87x72 is. Please say the answer in the answer section below. Thanks for the help!
Answer:
6,264
Step-by-step explanation:
Answer:
6264
Step-by-step explanation:
72 x 8 = 576
576 x 10 = 5760
72 x 7 = 504
5760 + 504
6264
A cylinder has a volume of 825.192 cubic centimeters. The diameter of the cylinder is 12 cm. What is the height of the cylinder?
Answer:
Step-by-step explanation:
diameter = 12 cm
r = 12 ÷2 = 6cm
Volume of cylinder
[tex]\boxed{Volume=\pi r^{2}h}[/tex]
πr²h = 825.192 cubic cm
3.14 * 6 * 6 * h = 825.192
[tex]h =\dfrac{825.192}{3.14*6*6}[/tex]
h = 7.3 cm
Answer:
Height of cylinder is 7.3 cm
Step-by-step explanation:
Given :-
Diameter of cylinder is 12m , so radius would be 6mVolume of cylindrical is 825.192 cm³To find :-
Height of cylinderSolution:-
Volume of Cylinder = πr²h
825.192 cm³ = 3.14 × 6 × 6 × h
825.192/113.04 = h
7.3 cm = h
there are 15 boys and 10 girls in mrs.rogers class what is the ratio of boys to girls ?
Answer: The ratio of boys to girls in Mrs.Rogers class is 15 to 10.
Step-by-step explanation:
f g(x) = 2x + 2, find g(a + h) - g(a).
Answer: 2h
Step-by-step explanation:
help me please, please
The little square means a right angle which is equal to 90 degrees.
X + 30 = 90
X = 60 degrees
Order from greatest to least
Answer:4. 7, 4 , -3.5, -5
Step-by-step explanation: place on number line and read from right to left
A washer and dryer cost a total of $1184. The cost of the washer is three times the cost of the dryer. Find the cost of each of them.
The cost of a washer is $1184 while the cost of a drier is $296
Word ProblemGiven Data
Total cost of washer and dryer = $1184let the cost of a washer be = wlet the cost of a drier be = dHence,
w+d = 1184 -------------1
we know that the cost of the washer is three times the cost of the dryer.
w = 3d -------------------2
put w = 3d in equation 1
3d + d = 1184
4d = 1184
d = 1184/4
d = 296
The cost of a drier is $296
put d = $296 in equation 2
w = 3*296
w = $888
Check:
$888+$296 = $1184
Learn more about word problem here:
https://brainly.com/question/25693822
