Answer:
Step-by-step explanation:
Given the expression
3x + 2 = 4x + 5
1. The smaller coefficient of x is 3
to remove the smaller coefficient
we need to add - 3x to both sides
3x +2 + (-3x) = 4x +5 (-3x)
3x + 2 - 3x = 4x + 5 - 3x
Collecting like terms we have
3x-3x+2= 4x-3x+5
2 = x+ 5
2. The constant on the right side is
5,to remove the constant from the right side of the equation we need to add - 5 to both sides
3x + 2+ (- 5) = 4x + 5 +(-5)
3x+ 2-5 =4x +5-5
3x-3 = 4x
780 miles on a full tank of 16 gallons find the rate of miles
Answer: 48.75
Step-by-step explanation:
Divide.
780/16=48.75
Can someone help me pls
Answer:
YES
Step-by-step explanation:
57+45=102.
The triangle needs to have angles that add up to 180 so..
180-102=78
and that is the other degree instead of 45 on the other triangle
Which of the following is NOT a perfect square trinomial?
x^2+10x+25
x^2+16x+64
x^2+7x+49
4x^2+16x+16
A cylinder has a volume of 288 pi cubic meters and a height of 9 meters. What is the area of the base? 32 pi square meters 18 pi square meters 279 pi square meters 2,592 pi square meters
32 pi square meters (sorry if it is wrong)
The area base of the cylinder is 32π square meters which is correct option(A).
What is the volume of cylinder?The volume of a cylinder is equal to the product of area of circular base and height of a cylinder. The volume of a cylinder is defined as the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it
V = A × h, where
A = area of the base
h = height
The base of a circular cylinder is a circle and the area of a circle of radius 'r' is πr². Thus, the volume (V) of a circular cylinder, using the formula, is, V = πr²h
where , 'r' is the radius of the base (circle) of the cylinder
'h' is the height of the cylinder
π is a constant whose value is either 22/7 (or) 3.142.
Given data,
The volume of cylinder = 288π cubic meters
V = πr²h
Substitute the value of V in the formula
288π = π(r²)(9)
Divided by π both the sides,
288 = 9 r²
288/9 = r²
32 = r²
r² = 32
r ≈ 5.65 meters
The area base (circle) of the cylinder = πr²
Substitute the value of r in the formula,
The area base of the cylinder = π(5.65)²
The area base of the cylinder = π(32)
The area base of the cylinder = 32π
Hence, the area base of the cylinder is 32π square meters.
Learn more about volume of cylinder here :
https://brainly.com/question/16134180
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The ratio of the number of squares to the number of triangle is _: _. The number of triangles that need to be added to make the ratio of the number of squares to the number of triangles 1:1 is _.
Answer:
5:2
6
Step-by-step explanation:
I simplest form it is 5:2
You need 6 more triangles
What is 2+2 jfkkrhjkorowjeurkfbrbrjjrjrfj
Answer:
= 4
Step-by-step explanation:
2 + 2 = 4
●● + ●● = ●●●●
Answer:
2+2=4
Step-by-step explanation:
for example you have two pieces of bread and your friend gives you another two pieces if you add them all together you get 4! lol
pls find the area of this shape thx
Answer:
20
Step-by-step explanation:
Area = ((7+3) x 4) ÷ 2 = 20
What is the slope of the line?
Answer:the slope is 2
Step-by-step explanation:
rise over run 2/1
Answer:
2
Step-by-step explanation:
The line rises by 2 and runs by 1.
Solve similar triangles can someone please answer help
Answer:
k=3.5
Step-by-step explanation:
1. Understand which lines are similar in the triangles. In this case, because we can see that the line YX is a hypotenuse and line QP is a hypotenuse we can see that YX and QP are similar. Therefore, we can see that YZ is similar to QR and ZX is similar to RP.
2. For finding an unknown side for similar triangles, you use the equation [tex]\frac{x}{y} =\frac{a}{b\\}[/tex] where x(also known as k) is the unknown side (QR), y is the similar side to the unknown(YZ), a is a known side(Let's use RP), and b is the similar side to the known side (In this cause, it would be ZX).
2. Plugging all the sides into the equation, it should turn into [tex]\frac{x}{10.5} =\frac{5.5}{16.5}[/tex].
3.After cross-multiply, you should get 16.5x=10.5×5.5 or 16.5x=57.75.
4. Then by dividing 16.5 on both sides, you should get 3.5
Triangle XYZ is rotated 90° clockwise about the origin.
On a coordinate plane, triangle X Y Z has points (negative 3, 1), (4, 4), (4, 1).
What are the coordinates of point X’?
Answer:
(1,3)
Step-by-step explanation:
Rotating clockwise means that you're rotating by a negative angle measure. The rule for rotating -90 degrees is (x,y)->(y,-x). X is (-3,1) so X' should be (1,3) since you negate -3 to get 3 and switch the x and y coordinates.
Answer:
(1,3)
Step-by-step explanation:
e d g e n u i t y :))
A lock has 3 digits and can have any number from 0-9 how many combinations are there
Ten choices for the first digit, 10 for the second, 10 for the third,
10 × 10 × 10 = 1000 combinations
Answer: 1000
A middle school took all of its 6th grade students on a field trip to see a ballet at a theatre that has 2000 seats. The students filled 90% of the seats in the theatre. How many 6th graders went on the trip?
Answer:
1800
Step-by-step explanation:
2000 seats and 90 filled . 2000 x 90% =1800
A horizontal line goes through the point (–7,10).
Which statements are true about this line? Check all that apply.
The slope of the line is zero.
Another point on the line is (3,10).
The y-intercept of the line is –7.
The equation of the line is y = 10.
Answer:
The slope of the line is zero
Another point on the line is (3,10).
The equation of the line is y = 10.
Step-by-step explanation:
an i get brainliest plz
Answer:
got right on edge
Step-by-step explanation:
Please help! Correct answers only please!
You roll a 6-sided die two times.
What is the probability of rolling an odd number and then rolling a 3?
Simplify your answer and write it as a fraction or whole number.
Answer:
The answer would be 2/3.
Step-by-step explanation:
There are 6 faces on a dice 3 of which are odd which would be 1/2. Then there is one face on a dice that has 3 dots on it which would 1/6. So 1/2+1/6= 4/6 which simplifies to 2/3.
Skylar drove 280 miles in 5 hours. If she continued at the same rate, how far would
she travel in 20 hours?
Answer:
1,120
Step-by-step explanation:
If you divide 280 and 5 you get 56. Then you multiply 56 and 20 and you get 1,120
12 goes into 53 how many times??
Answer:
12 goes into 53 4 times
Step-by-step explanation:
Answer:
4 times
Step-by-step explanation:
Use the Distributive Property to simplify the expression.
2(x+12) = ???
Hey there!
The Distributive Property states that
a(b+c)=ab+ac
Where
a, b, and c can be
constants (real numbers)variables (letters)Now, let's simplify:
2(x+12)
multiply 2 times x and 2 times 12
2x+24
Hope everything is clear.
Let me know if you have any questions!
#LearningIsFun
:-)
During a week in January in Cleveland, Ohio, the daily high temperatures were -4 °F, -2 °F, -12 °F, 5 °F, 12 °F, 16 °F, and 20 °F. Which expression can be used to find the difference between the highest temperature of the week and the lowest temperature of the week?
Answer:
[tex]\Delta T = T_{max,w} - T_{min,w}[/tex]
[tex]\Delta T = 20\,^{\circ}F - (-12\,^{\circ}F)[/tex]
[tex]\Delta T = 32\,^{\circ}F[/tex]
Step-by-step explanation:
The expression needed is the highest temperature of the week subtracted by the lowest temperature of the week. That is to say:
[tex]\Delta T = T_{max,w} - T_{min,w}[/tex]
[tex]\Delta T = 20\,^{\circ}F - (-12\,^{\circ}F)[/tex]
[tex]\Delta T = 32\,^{\circ}F[/tex]
HELP!!! 30 pts!
The circle below is centered at the point (-2, -3) and has a radius of length 3. Write the equation for the circle.
Answer:
(X+2)power of 2 + (y + 3)power of 2 = 9
Step-by-step explanation:
Answer:
[tex] (x + 2)^2 + (y + 3)^2 = 9[/tex]
Step-by-step explanation:
Center = (-2, - 3) = (h, k)
Radius (r) = 3
Equation of circle in centre radius form is given as:
[tex] (x - h) ^2 + (y - k) ^2 = r^2 \\
\therefore \{x - (-2)\}^2 + \{y - (-3)\}^2 = 3^2 \\
\purple {\boxed {\bold {\therefore(x + 2)^2 + (y + 3)^2 = 9}}} [/tex]
Una mujer de 5 pies de altura esta de pie cerca de un farol que tiene 12 pies de altura, . Encuentre una función que modele la longitud de su sombra en términos de distancia desde la base del farol. un triangulo isósceles tiene un perímetro de 8cm. Encuentre una función que moldee su área a en términos de la longitud de su base
...,..................................................
The first official count of Sudan's referendum has been announced
with the country's diaspora in Europe overwhelming voting for
secession
In this sentence, diaspora means.
the
space sought for occupation by a nation
the financial sector, including banking and investing
the territory within which power can be exercised
the dispersion of something that was originally
localized
Answer:
the dispersion of something that was originally localized
Step-by-step explanation:
that's the definition of the word diaspora.
Complete the equation of the line thought (-6,-5) and (-4,-4) y= ?
Answer:
Step-by-step explanation:
Solve for x in the equation x2+4x-4-8.
Answer:
x = 6
x = -2
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Took the quiz
please answer quickly
Answer:
1,253 cubic inches
Step-by-step explanation:
This container is made up of two rectangular prisms. The larger prism has volume 11*7*14=1078 cubic inches. The other one has volume 7*5*5=175 cubic inches. Adding these together, you get a total of 1,253 cubic inches. Hope this helps!
Answer:
1253 in^3
Step-by-step explanation:
The volume of the bottom container is
V = l*w*h
V = 11*14*7
V =1078
The volume of the top container is
V = l*w*h
V = 7*5*5
V =175
Add the two volumes together
V =1078+175 =1253 in^3
Zayed is helping his classmates get ready for their math test by making them identical packages of pencils and calculators.
He has 727272 pencils and 242424 calculators and he must use all of the pencils and calculators.
If Zayed creates the greatest number of identical packages possible, how many pencils will be in each package?
Answer:
3 pencils will be in each packageStep-by-step explanation:
72 Pencils
24 calculators
72/24 = 3/1
for Every one calculator 3 Pencils need to be used
Greatest number of Package = 24 as 24 Calculators are there
number of pencils in each package = 3 ( 72/24 = 3)
Answer:
3 pencils will be in each package
Step-by-step explanation:
You divide 727272 by 242424 to get 3
what is the value of x
Answer:
x = 73°
Step-by-step explanation:
a whole circle = 360°
so x + 50° + 91° + 2x = 360°
x+ 2x = 360°- 91° - 50°
3x = 219°
x = 219° ÷ 3
x = 73°
HOPE THIS HELP YOU!!! ;))))Concrete is made by mixing cement sand and gravel in the ratio 5:9:13 how much cement is needed to make 324 ft of concrete
Answer:
156 ft
Step-by-step explanation:
5x+9x+13x=324
27x=324
x=12
13(12)=156
When a person is selected at random from a very large population, the probability the selected person has green eyes 0.37. What is the probability that 4 people selected at random all have green eyes? Round your answer to 3 decimal places.
Answer:
0.019
Step-by-step explanation:
Here, we want to calculate the probability that 4 people selected at random have green eyes.
The probability of having green eyes = 0.37
Now, we are selecting 4 people and we want to calculate the probability that all have green eyes
That would be;
0.37 * 0.37 * 0.37 * 0.37 = 0.01874161 which is 0.019 to 3 decimal places
If a+b=9 and ab=18,find the value of a and b.
Answer:
Given:
a + b = 9
=> a = 9 - b
Given:
a x b = 18
=> (9 - b) x b = 18
=> 9b - b^2 = 18
=> b^2 - 9b + 18 = 0
=> (b - 3)(b - 6) = 0
=> b = 3 => a = 6
=> b = 6 => a = 3
Hope this helps
:)
Express as a unit ratio.
$360 for 5 days of work
Answer:
She would earn $72 each day
Step-by-step explanation:
you divide $360 and 5