Equation for: 60% of what number is equal to 30?
Answers
Answer:
50
Step-by-step explanation:
\((\frac{60}{100} )x=30\)
\(x=\frac{30}{(\frac{60}{100}) } =\frac{30}{0.6} =50\)
Hope this helps
Answer:
x = 50
Step-by-step explanation:
Equation:
Let the number be x.
Then the equation will be,
60% * x = 30Solving for x,
60/100 *x = 3060x/100 = 3060x = 30*10060x = 3000x = 3000/60x = 50Related Questions
A recipe requires 3 cups of flour to make 15 servings and 7 cups of flour to make 35 servings how many cups of flour are needed to make 20 servings?
Answers
Answer:
a = 8
b = 2
c = 48
Step-by-step explanation:
3 cups of flour is needed to make 24 servings.
3:24
Simplify. First, divide 3 from both sides of the ratio.
(3)/3 : (24)/3
1:8
Next, solve for b. You multiply 2 to 8 to get 16. Next, multiply 2 to 1
1 x 2 = b = 2
Finally, multiply 8 to 6 to get c.
8 x 6 = c = 48
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Sketch and label a net of the right triangular prism. Each square on the grid represents
1 square centimeter. Calculate the surface area of the prism by using its net.
Answers
The total surface area of the prism is determined as 216 cm².
What is the surface area of the prism?The surface area of the prism is calculated by applying the following formula.
The area of the two triangular faces is calculated as follows;
Area of the two triangles = 2 (¹/₂ x base x height )
Area of the two triangles = 2 (¹/₂ x 6 cm x 4 cm )
Area of the two triangles = 24 cm²
The area of rectangular faces is calculated as follows;
A = ( 5 cm x 12 cm ) + (5 cm x 12 cm ) + ( 6 cm x 12 cm )
A = 192 cm²
The total surface area of the prism is calculated as follows;
Area = 24 cm² + 192 cm²
Area = 216 cm²
The sketch of the triangular prism is in the image attached.
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Easy geometry please help!!
Answers
In the given parallelogram ABCD the values for variables are - g = 6, y = 5 and x = 4.
What is a parallelogram?
A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.
We know that in a parallelogram, opposite sides are congruent and parallel, and diagonals bisect each other.
Using this information, we can set up equations to solve for the variables.
From the given information, we have -
AE = CE = 2x - 5 = 5x - 17 (since diagonals bisect each other at point E)
BE = x + 2
DE = BE = (x + 2) = g (since diagonals bisect each other at point E)
We also know that opposite sides of a parallelogram are parallel.
Therefore, 10 is parallel to 2y, which means they have the same slope. We can write this as -
10/1 = 2y/1
10 = 2y
y = 5
Now we can use equation (1) to solve for x -
2x - 5 = 5x - 17
12 = 3x
x = 4
Finally, we can use x to solve for g -
(x + 2) = g
(4 + 2) = g
g = 6
Therefore, the values of x, y, and g are 4, 5, and 6, respectively.
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The daily high temperature at Crystal Lake ranges from 10 °C to 40 °C. Fishermen are asked to report the number of fish they catch in a day. The park ranger wants to quantify the relationship between high temperatures and the average number of fish caught.
The park ranger plots the data, fits a line to represent the trend, and finds that this line can be described by the function f(x)=−3x+125, where x represents the high temperature in degrees Celsius and f(x) is the total number of fish caught.
What is the slope of the line? Explain the meaning of the slope in this situation.
Answers
Answer:
it is 10 and 40 i think
Answer:
slope = -3
Step-by-step explanation:
The function f(x) = -3x + 125 is a linear function in slope-intercept form y = mx + b. The slope, m, is -3. This means that for every increase of 1°C, 3 less fish are caught.
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Answers
If you take away 25 from (100) you get 75.
70 also equals 2.5*30
Help asap Help help help help help help help help help help help help help help
Answers
Answer:im stumped too
Step-by-step explanation:
cos (x + 16) = sin(3x – 2)
Answers
Answer:
x = 19
Step-by-step explanation:
So cos and sin are closely related, but they are not equal. In order for these two to be equal to each other, the angles (in the parenthesis by the cos and by the sin) have to be complementary. That is, they have to add up to 90°
Use this idea to set up an equation.
x + 16 + 3x - 2 = 90
Combine like terms.
4x + 14 = 90
Subtract 14.
4x = 76
Divide by 4.
x = 19
x = 19
If you are kooking for the angles:
x + 16
= 19 + 16
= 35
and
3x - 2
= 3(19) - 2
= 57 - 2
= 55
Check: 35 + 55=90
Also,
cos35 = sin55
Cos x + cos 16 = sin 3x - sin 2
Sin 2 + cos 16 = sin 3x - cos x
Sin 2 + cos 16 = x(sin 3 - cos 1)
0.0902 + (-0.9576) = x(0.1411-0.5403)
−0.8674 = −0.3992x
-0.3992 -0.3992
X = 2.17
is this a right triangle
Answers
Given triangle is not a right angle triangle.
What is Pythagoras theorem?
For any right angle triangle,
Hypotenuse ²= Base²+Height ²
To determine whether the any triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Let's denote the sides of the triangle as follows,
a = 14
b = 10
c = 4√19
Then we can check whether the Pythagorean theorem holds for these values:
c² = (4√19)² = 16×19 = 304
a²+ b² = 14²+ 10² = 196 + 100 = 296
Since c² is not equal to a² + b², the triangle is not a right triangle. Therefore, the answer is no, the given triangle is not a right angle triangle.
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Add 2.5 to the product of 4.2 and 0.2
Answers
Answer:
3.34.
Step-by-step explanation:
4.2 * 0.2 + 2.5
= 0.84 + 2.5
= 3.34.
Answer:
3.34
Step-by-step explanation:
the product is 4.2×0.2=0.84
add is 2.5 + 0.84=3.34
what is 73 division 84,649
Answers
73 division 84, 649 would give 8. 64 × 10^-4
How to determine the valueIn order to determine the value of the division, we have
= \(\frac{73}{84649}\)
Using the calculator, put the values in
We would have
= 8. 64 × 10^-4
Thus, 73 division 84, 649 would give 8. 64 × 10^-4
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Mr. Smith and Mr. Stein were driving to a business meeting 140 miles from their office. Mr. Smith drove the first
miles, then Mr. Stein drove the rest of the way.
Write an algebraic expression for how many miles Mr. Stein drove
Answers
This represents the distance that Mr. Stein drove, given that Mr. Smith drove x miles. The value of x must be between 0 and 140, since Mr. Smith cannot drive more than 140 miles and less than 0 miles.
How to determine the algebraic expression?An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. It can be simplified, evaluated, or manipulated using algebraic rules and properties.
Let x be the number of miles Mr. Smith drove. Then, the number of miles Mr. Stein drove is \(140 - x\) , since they drove a total of 140 miles and Mr. Smith already drove x miles.
the algebraic expression for how many miles Mr. Stein drove is:
\(140 - x\)
Therefore, This represents the distance that Mr. Stein drove, given that Mr. Smith drove x miles. The value of x must be between 0 and 140, since Mr. Smith cannot drive more than 140 miles and less than 0 miles.
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The radioactive substance cesium-137 has a half-life of 30 years. The amount A (r) (in grams) of a sample of cesium-137 remaining after t years is
given by the following exponential function.
A (t)-266 6 (1) 10
Find the initial amount in the sample and the amount remaining after 50 years.
Round your answers to the nearest gram as necessary.
Initial amount:
Amount after 50 years:
Answers
The amount remaining after 50 years is approximately 45.5% of the Initial amount, A₀.
The given exponential function represents the amount A(t) (in grams) of cesium-137 remaining after t years:
A(t) = A₀ * (1/2)^(t/30)
We are asked to find the initial amount A₀ and the amount remaining after 50 years.
1. Initial amount:
The initial amount, A₀, is the amount of cesium-137 present at t = 0 years. To find A₀, we substitute t = 0 into the equation:
A(0) = A₀ * (1/2)^(0/30)
A(0) = A₀ * 1
Since anything raised to the power of zero is 1, we have A(0) = A₀ * 1, which simplifies to A(0) = A₀.
Therefore, the initial amount of the sample is A₀.
2. Amount after 50 years:
To find the amount remaining after 50 years, we substitute t = 50 into the equation:
A(50) = A₀ * (1/2)^(50/30)
Now we can calculate the amount using the given formula:
A(50) = A₀ * (1/2)^(5/3)
To round the answer to the nearest gram, we evaluate the expression and round the result to the nearest gram:
A(50) = A₀ * 0.455
A(50) ≈ A₀ * 0.455
Therefore, the amount remaining after 50 years is approximately 45.5% of the initial amount, A₀.
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The digits 4, 5, 6, 7, and 8 are randomly arranged to form a five-digit number, Find the probability that the first and last digits of the number both are odd.
Answers
Answer:
5,4,6,7
Step-by-step explanation:
The digits 4, 5, 6, 7, and 8 are randomly arranged to form a five-digit number. Complete parts (a) and (b) below.
(a) Find the probability that the number is odd.
The probability that the number is odd
(Type an integer or a simplified fraction.)
(b) Find the probability that the first and last digits of the number both are odd.
The probability that the first and last digits of the number both are odd is
.
(Type an integer or a simplified fraction.)
What is the slope of the line?
Answers
Answer:
-2/3
Step-by-step explanation:
Answer:
I'm going for the first one (2/3)
Hope this helped you
you can eliminate B and C b/c the line is going up not down
line down= a negative slope
line up= a positive slope
please help i really can't figure this out
Answers
Answer:
The cost of one petunia is
⇒(6-6.5)/(8-8)
⇒-0.5/6
⇒-1/12
hope it helps..
have a great day!!
Consider the basis B of R^2 consisting of vectors [5 -6] and [-7 2]. Find x in R^2 whose coordinate vector relative to the basis B is [x]_B = [5 4].
Answers
As a result, the vector x whose coordinate vector relative to the basis B is [5 4] in R² is (45/11, -54/11).
What is vector?A vector is a matrix that has only one row or one column. A row vector is a matrix with only one row. Example Because it only contains one row, the matrix is a row vector. A column vector is a matrix with only one column. A vector is a quantity linear array. A matrix is a two-dimensional array of values. Tensors are three-dimensional and higher-dimensional arrays that exist. A matrix can be thought of as a sequence of column vectors, but it can also be thought of as a sequence of row vectors; both interpretations are valid.
Here,
To find the vector x in R² whose coordinate vector relative to the basis B is [5 4], we need to express the vector x as a linear combination of the basis vectors [5 -6] and [-7 2].
Using the formula [x]_B = [5 4] = a[5 -6] + b[-7 2], where a and b are scalars, we can solve for a and b:
5 = 5a - 6b
4 = -7a + 2b
Solving for a and b using the system of equations:
a = 9/11
b = 14/11
So, x = 9/11 [5 -6] + 14/11 [-7 2] = (45/11, -54/11).
So, the vector x whose coordinate vector relative to the basis B is [5 4] is (45/11, -54/11) in R².
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Two car services charge different rates. A charges .60 per mile plus 3.00initial charge B charges .75 per mile mile traveled . the situation is modeled bu this system where x is the number of miles traveled and y is the charge for that distance ,in cents. How many miles must each car travel for the charges to be equal and ehat is the charge for that distance
Answers
The charges will be equal when each car travels 2000 miles. To find the charge for that distance, we substitute x = 2000 into either equation.
To determine the number of miles at which the charges for the two car services, A and B, are equal, we can set up an equation based on the given information.
Let's represent the charge for car service A as y_A and the charge for car service B as y_B. We can set up the following equations:
For car service A: y_A = 0.60x + 300 (in cents)
For car service B: y_B = 0.75x (in cents)
To find the number of miles at which the charges are equal, we set y_A equal to y_B and solve for x:
0.60x + 300 = 0.75x
Subtracting 0.60x from both sides:
300 = 0.15x
Dividing both sides by 0.15:
x = 300 / 0.15
x = 2000
Therefore, the charges will be equal when each car travels 2000 miles. To find the charge for that distance, we substitute x = 2000 into either equation. Let's use the equation for car service A:
y_A = 0.60(2000) + 300
y_A = 1200 + 300
y_A = 1500 cents or $15.00
So, when each car travels 2000 miles, the charges will be equal at $15.00.
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Gabriella has a salt shaker in the shape of a right circular cylinder with a radius of 5 cm and a height of 12 cm. What is the volume of this salt shaker?
Answers
Answer:
I mean 60 that is V= H×radius
Answer:
The volume of the cylinder is \(300\pi \text{ cm}^3\)
Step-by-step explanation:
Volume of a right circular cylinder: \(V=\pi r^2 h\)
r = radius
h = height (both measured in the same units!)
\(r=5\text{ cm}, \, h=12\text{ cm}\)
Substitute those values into the formula.
\(V=\pi (5^2)(12) = \pi (25)(12) = 300\pi \text{ cm}^3\)
That is an exact answer. If you need an approximation, use something like 3.14 or 3.1416 .
40 Answer:
Solve the equation by a method of your choice:
x2 - 36 = 0
If there are two solutions, separate the solutions by a comma.
41 Answer:
Solve the equation by a method of your choice:
x2 + 12x + 36 = 0
If there are two solutions, separate the solutions by a comma.
Answers
The solution of the equations are
x^2 - 36 = 0
x = 6, -6
The equation x2 + 12x + 36 = 0
x = -6, -6
How to solve the equationsThe equation x^2 - 36 = 0 is solved as follows
x^2 - 36 = 0
x = ±√36
x = 6 or -6
The quadratic equation x^2 + 12x + 36 = 0 is solved as follows
x^2 + 6x + 6x + 36 = 0
x(x + 6) + 6(x + 6) = 0
(x + 6)(x + 6) = 0
hence
x = -6 and -6
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Can someone help me find the solution for X? Please leave an explanation for me so I can do questions like this by myself!
Also, can you leave an equation that solves for x..?
Answers
The value of angle x in the straight line is 41 degrees.
How to find the angle x?The sum of angles on a straight line is 180 degrees. In other words, angles on a straight line add up to 180°. Angles on a straight line relate to the sum of angles that can be arranged together so that they form a straight line.
Therefore, let's find the angles x.
Using sum of angles on a straight line,
x + 139 = 180
subtract 139 from both sides of the equation
x + 139 - 139 = 180 - 139
Hence,
x = 41 degrees
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find the difference of (-10x^2 + 5x -3) and (4x^2 + 6x - 7)
Answers
Answer:
-14x² - x + 4
Step-by-step explanation:
(-10x² + 5x - 3) - (4x² + 6x - 7)
= (-10x² + 5x - 3) - (+4x²) - (+6x) - (-7)
= (-10x² + 5x - 3) -4x² -6x +7
= -10x²-4x² +5x-6x -3+7
= -14x² - x + 4
5. Use the FOIL method to solve for, (3x + 2) (2x +4)
Answers
Answer:
1 . (3x) (2x) = 6x²
2 . (3x) (4) = 12x
3 . (2) (2x) = 4x
4 . (2) (4) = 8
= 6x² + 12x + 4x + 8
Answer - 6x² + 16x + 8
If I was right please mark me brainliest! (๑・ω-)～♥”
Please help. The problem is the link.
Answers
Answer:
(0,3) (1,4)
Step-by-step explanation:
PLEASE HELP! I really need to get this right
Answers
Answer:
27.3
Step-by-step explanation:
27.3
Answer:
Plays a musical instrument
Top left
Plays a sport: 0.46
Plays a musical instrument
Top right
Does not Play a sport: 0.54
Does not play a musical instrument
Bottom Left
Plays a sport: 0.73
Does not play a musical instrument
Bottom right
Does not Play a sport: 0.27
Step-by-step explanation:
I hope this helps you! :D
2(2x-6) = 28 solve....
Answers
Answer:
Step-by-step explanation:
simplify
4x-12=28
4x=40
x=10
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Alicia has 4 yards of ribbon.she needs 1/3 yard to make 1bow.how many bows can alicia make
Answers
Answer: 12 bows
Step-by-step explanation
12*1/3 yard = 4 yard
12 bows
Answer:
Let's break this down.
Step-by-step explanation:
4 yards of ribbons.
1/3 yard to break it down.
so 1/3x3=1
3 ribbons per 1 yards.
3x4(Number of yards of ribbons she owns)=
12 bows.
The PTA sells 100 tickets for a raffle and puts them in a bowl. They will randomly pull out a ticket for the first prize and then another ticket for the second prize. You have 10 tickets and your friend has 10 tickets. What is the probability that your friend wins the first prize and you win the second prize?
Answers
The length of a rectangle is four more than its width. If the area of the rectangle is 12, find the length of the rectangle
Answers
The length of the rectangle given the area as 12 is 6
What is the of the rectangle?Area of a rectangle = Length × width
Area of the rectangle = 12Length of the rectangle = w + 4Width of the rectangle = wArea of a rectangle = Length × width
12 = (w + 4) × w
12 = w² + 4w
w² + 4w - 12 = 0
Solve the quadratic equation using factorization
w² + 6w - 2w - 12 = 0
w(w + 6) - 2(w + 6) = 0
(w + 6) (w - 2) = 0
w + 6 = 0 or w - 2 = 0
w = -6 or w = 2
Hence,
width of the rectangle can not be negative.
Length of the rectangle = w + 4
= 2 + 4
= 6
Therefore, 2 is the length of the rectangle.
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(32 + 9 − 1) + (−52 + 6 − 10)
Answers
Answer:
-16
Step-by-step explanation:
\((32+9-1)+(-52+6-10) \\ \\ =(41-1)+(-46-10) \\ \\ =40-56 \\ \\ =-16\)
Los estudiantes de la escuela organizan reuniones del equipo verde para planear maneras de proteger el medioambiente. Esta semana hay 144 miembros en la reunión, que es ek 90% del total del grupo
¿Cuál es el número total de miembros en el equipo verde?
Answers
If this week there are 144 members at the meeting, which is 90% of the total group, the total number of members on the green team is 160.
If 144 members represent 90% of the total group, we can set up the equation:
144 = 0.9x
where x is the total number of members on the green team.
To solve for x, we can divide both sides of the equation by 0.9:
144 ÷ 0.9 = x
This simplifies to:
160 = x
To check our answer, we can verify that 144 is indeed 90% of 160:
144 ÷ 160 = 0.9
which confirms that our answer is correct.
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