Answer:
18
Step-by-step explanation:
In both cases, the number remains constant, 240 stamps.
Given that 3:7 is equal to 3/10 to 7/10
Initially, Tom had 3/10*240=72 stamps
Finally, 3:5 equal to 3/8 to 5/8
Tom has 3/8*240=90 stamps
Difference is 90-72=18 stamps
Therefore, Tom bought 18 stamps from Adam and Adam didn't replace
Given the initial and new ratios of Tom's and Adam's stamps, and the total number of stamps they have, we can setup and solve an equation which reveals that Tom bought 48 stamps from Adam.
Explanation:This math question involves the concept of ratios and some algebra. Given that Tom and Adam initially had a total of 240 stamps between them in a ratio of 3:7, we can divide 240 by the total parts of their ratio (3 + 7 = 10 parts). So, one 'part' is 240 divided by 10, which equals 24.
Therefore, Tom initially had 3 parts i.e., 3*24 = 72 stamps while Adam had 7 parts i.e., 7*24 = 168 stamps.
After Tom buys some stamps from Adam, their ratio changes to 3:5. Let's denote the number of stamps Tom bought as x. Then, Tom would have 72 + x stamps, while Adam would have 168 - x stamps.
Since their ratio is now 3:5, we can set up an equation represented by (72 + x) / (168 - x) = 3 / 5. Solving this equation gives us x = 48.
So, Tom bought 48 stamps from Adam.
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Which values are within the domain of the function?
Check all that apply.
X=-6
x= -4
x=-2
x = 0
x = 2
x = 4
Answer:
Step-by-step explanation:
The domain of a function simply encompasses the set of input values which satisfies a given function. Hence, the values within the domain of the function are ; - 6, - 4, - 2, 4
Since the domain marks the set of input values, then they could be described as the x - values which satisfies the condition on the graph. The line on the right covers x - values greater than 2. The line on the left covers x-values from -2 belowHence, the x-values in the option which satisfies the function are - 6, - 4, - 2, 4
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Write thirty-four hundredths as a decimal
Answer: 0.34
Step-by-step explanation:
What is the answer to this?
Answer:
B.
Step-by-step explanation:
Answer:
B is the correct answer
Step-by-step explanation:
Jake earns $7.50 per hour working at a local car wash. The function,
ƒ
ƒ
(
x
)
=
7.50
x
, relates the amount Jake earns to the number of hours he works. Write the inverse of this relation
Answer:
f(x) = y
y = 7.50x
To find the inverse, swap x and y
x = 7.50y
Now solve for y
y = x/7.50
f-1(x) = x/7.50
Find the combined volume of the cube and pyramid.
Answer:
d
Step-by-step explanation:
Steve uses 14 blue beads and 6 green beads to make a bracelet.
Which ratio compares the number of blue beads to the total number of beads in one bracelet?
14:6
6:14
6:20
14:20
Answer:
14:20 :)
Step-by-step explanation:
Is there a vertical shift? What is it?
2(x+2) – 5
I NEED HELP ASAP!!
Answer:
Yes, there s a vertical shift to the right by 1
Step-by-step explanation:
If you distribute the 2 among the (x+2) you get:
2x+4-5
Combine like terms:
2x+1
There fore the line shifts right by one.
Answer:
Yes, the equation shifts down by five.
Step-by-step explanation:
In equations, vertical shifts happen when the ENTIRE equation, or y, is added or subtracted a number.
Horizontal shifts happen when JUST the x value is added or subtracted a number, but this is a little different.
The formula for the equation you gave us is
m(x - h) + k
Since "h" is already negative, we have to flip the sign of the +2, so the horizontal shift would be LEFT two units.
As far as the vertical shift goes, we just have to look at the "+k."
Since k = -5, the equation shifts down five units.
The supply and demand functions for q hundred boxes of napkins at a price p dollars per box are given by:
Supply:p−√q=1 Demand:q+p=7
Find the equilibrium price and quantity.
[tex]p - \sqrt{q} = 1 \\ q + p = 7[/tex]
[tex]p = 7 - q[/tex]
[tex]7 - q - \sqrt{q} = 1 \\ - q - \sqrt{q } = - 6 \\ q + \sqrt{q } = 6 \\ q = 4[/tex]
[tex]p = 7 - 4 = 3[/tex]
The diameter of a circle is 28 inches what is the circle's area?
use 3.14 for pi
Answer:
615.75216....
Step-by-step explanation:
The formula is A = π * (ø/ 2)^2
A = Circle area
π = Pi = 3.14
ø = Circle diameter
A= 3.14 (28/2)^2
Answer:
Area = 615.44 inches
Step-by-step explanation:
Diameter = 2 * radius
28 = 2 * radius
Divide both sides of the equation by 2
14 = radius
Find area
A = π r²
A = 3.14 (14)²
A = 3.14 (196)
A = 615.44
Hope this helps :)
30% of $40 is how much money
Answer:
$12
Step-by-step explanation:
30% is 0.3
So 0.3 × 40 = 12
Can 17 cm, 18 cm, and 35 cm form a triangle
Answer:
No.
Step-by-step explanation:
17+18 is not greater than 35.
17 + 18 = 35
so three sides of those lengths form a degenerate triangle, three collinear points. A degenerate triangle is not a triangle. The triangle inequality is not satisfied.
Answer: NO
Question
Find the volume of the cylinder. If necessary, round your answer to the nearest hundredth.
12 ft
10 ft
The volume of the cylinder is
The box plot suggests that Olga served fewer than what number of aces during about 75% of tennis matches
Answer:
d) 10
Step-by-step explanation:
Answer:
The answer is 10
Step-by-step explanation:
Mary takes 9 grapes from rohin and then decides to give 4 back draw a model for the subtraction problem using integer chips
To draw an integer chips model for the subtraction problem, first draw nine positive chips to represent the grapes Mary took, then draw four negative chips for the grapes she gave back. Subtract the negative from the positive chips to get the final answer.
Explanation:In this integer subtraction problem, you would first draw 9 positive chips, symbolizing the 9 grapes Mary initially received from Rohin. Positive chips can be represented by circles or squares. You could use different colors, such as blue for positive (or grapes Mary has).
Next, to represent the 4 grapes that Mary returned to Rohin, you would draw 4 negative chips. Negative chips (or the grapes Mary gave back) could be represented by a different color, such as red.
Subtracting 4 from 9, we then remove 4 positive chips from the model, leaving five positive chips, representing the 5 grapes Mary has left after she returned 4 to Rohin.
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If m
c is greater than mZE, then AB is
??
Answer:
yes.... i need da coordinatees
Step-by-step explanation:
An object's dimensions are: length of 25cm, wight of 10cm, and height of 15cm. calculate the object's density if its mass is 3000g
Density = Mass / Volume
The volume is length * width * height, which equals 25 * 10 * 15, making it 3750 cm^3.
Mass / Volume = 3000 g / 3750 cm^3 = 0.8 g/cm^3
Answer:
Density = Mass / Volume
The volume is length * width * height, which equals 25 * 10 * 15, making it 3750 cm^3.
Mass / Volume = 3000 g / 3750 cm^3 = 0.8 g/cm^3
Step-by-step explanation:
The system of equations has no solution:
y=2/3x-5
4x - 6y = 30
true or false?
1. y = 2/3x - 5
2. 4x - 6y = 30
Divide 2. by 2
3. 2x - 3y = 15
Substitute 1. into 3.
4. 2x - 3(2/3x - 5) = 15
5. 2x - 2x + 15 = 15
6. 15 = 15
False. There are an infinite number of solutions.
What is the name for the total area of the surface of a solid?
Answer:
the surface area
Step-by-step explanation:
the surface area refers to the area on the surface of each side added all together
Answer:
Surface-area.
Step-by-step explanation:
Surface-area. If a solid is composed of flat surfaces, such as the cube on the right, the surface area is simply the sum of the areas of the flat surfaces (called faces).
I have two bags of counters.
The first bag contains two red counters and one blue counter.
The second bag contains one red counter, one blue counter and two yellow counters.
I take a counter at random from both bags.
A). What is the probability that the two counters will be the same colour?
b). What is the probability that exactly one of the counters will be red?
Answer:
a. 4/21
b. 4/7
Step-by-step explanation:
Please kindly check the attached files for explanation.
Answer:
A) 3/12
B)7/12
Step-by-step explanation:
I used a tree diagram to go through this with my daughter, bear in mind the second question asks for the probability of exactly one red counter to be taken from the bag.
FIRST CORRECT ANSWER WILL MAKE BRAINIEST!!!!!!!!!
Use Vieta's Theorem to solve the problems. The difference of the two solutions of x2+19x+c=0 is 15. Find c.
The value of c from the given equation is 34.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
The given equation is x²+19x+c=0
Vieta's Theorem is If f(x) = ax² + bx + c is a quadratic equation with roots α and β then,
Sum of roots = α + β = -b/a
(x + a) (x + b) = x² + (a + b) x + ab
a + b = 19
a - b = 15
a = 17
b = 2
c = ab = 34
Therefore, the value of c from the given equation is 34.
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Using Vieta's Theorem, the difference of the roots was used to set up two equations. Solving them simultaneously gave us the individual roots, which were then multiplied to find the required product, c, which is 34.
Explanation:To solve for c in the quadratic equation x^2 + 19x + c = 0 using Vieta's Theorem, we need to find the two roots of the equation and their relationship to the coefficients.
According to Vieta's formulas, for a quadratic equation of the form ax^2 + bx + c = 0, the sum of the roots -b/a and the product of the roots c/a. Since the coefficient a is 1 in our equation (x^2 + 19x + c = 0), the sum of the roots is -19, and the product is c.
We are told the difference of the two roots is 15. Let's denote the larger root as r1 and the smaller one as r2. Thus, r1 - r2 = 15. But we also know that r1 + r2 = -19 (the negative coefficient of x).
We can now set up two equations:
r1 + r2 = -19r1 - r2 = 15By solving these two equations simultaneously, we add them together to eliminate r2:
2r1 = -4
r1 = -2
Substitute r1 back into one of the original equations to find r2:
r1 + r2 = -19
-2 + r2 = -19
r2 = -17
Now, we use the product of the roots to find c:
c = r1 * r2
c = -2 * -17
c = 34
Therefore, the value of c in the quadratic equation is 34.
30 POINTS!
Find the area of the shaded regions.
Answer:
84.82 or 27pi
Step-by-step explanation:
Area of a circle is A=pir^2
so the area of the whole circle would be 6^2pi
so area is 36pi but only 3/4 is shaded so
36pi*3/4=27pi
27*pi≈84.82
Answer:
84.78cm²
Step-by-step explanation:
Angle at the centre:
360 - 90 = 270
Area:
(270/360) × pi × r²
(3/4) × pi × 6²
27pi cm²
27(3.14) = 84.78 cm²
a population of bacteria is growing at a rate of 20 per hour. if the population starts at 320, what is it an hour later?
a ) 360
b ) 350
c ) 372
d ) 384
Answer:
B.350
Step-by-step explanation:
let's hope it helps
Any help also explain how you got A B C or D pleaseeeee
Answer:
D. 6:40 AM
Step-by-step explanation:
The LCM of 12 and 9 is 36. Add this to the original time and you have your answer.
Can you help me with this question?
Answer:
42ft
Step-by-step explanation:
Area of a triangle = 1/2 * base * height
So that little triangle section:
1/2 * 2 * 3 = 1/2 * 6 = 3
Now we do the rectangle Section:
Area of a rectangle = length * width
So that rectangle is 3 * 7 = 21
If you eliminate those two shapes, you are left with a trapezoid.
Area of a trapezoid is 1/2 * (base 1 + base 2) * height
Base 1 is 3 which is the width of the rectangle.
Base 2 is the 6.
The height is the given 11 feet subtracted by the 7 feet from the length of the rectangle which is 4.
Plug all this in to the formula you get 1/2 * (6 + 3) * 4 = 1/2 * 9 * 4 = 1/2 * 36 = 18.
Now add all of your areas together;
21 + 3 + 18 = 24 + 18 = 42
Answer:
Area=42 ft.²
Step-by-step explanation:
This is an area problem. But since there are multiple shapes (2 triangles and a rectangle) we have to split the shapes and work each one separately. First we will start on the far right, with the small triangle. This one is the easiest one since the line is already drawn to separate it from the rest of the shape.
Area of a triangle=1/2 bh
A=1/2(2x3)
A=1/2(6)
A=3
The next shape is the the rectangle in the middle. Looking at the first image, I've drawn a line across the bottom, we need to find the area of that new image, the width is 3 ft and the length is 11 ft.
Area of a rectangle=lw
A=(11x3)
A=33
Finally, we need to find the area of the last triangle. Looking at the second image, I've add the correct base and height, 4 and 3. So now we need to use the triangle formula and solve
Area of a triangle=1/2bh
A=1/2(4x3)
A=1/2(12)
A=6
Now we can add the three areas together and get the total area:
3+33+6=42 ft
I hope this helps:)
HELP PLEASE DON'T UNDERSTAND
What is the missing constant term in the perfect square that starts with x^2+2x
To find the missing constant term, we want to think about what two numbers would add up to 2. Of the numbers we've thought of, we want to find the numbers that are the same. In this case, that would be 1 and 1. If we multiply, or square, 1 and 1 together, we get 1. So, the missing constant term in the perfect square given here would be 1.
Hope this helps!! :)
Is
Δ
P
X
Y
≅
Δ
P
X
Z
Answer:
Yes!
Step-by-step explanation:
Simplify and then evaluate.
−12x+14x−6x, if x=129.
The simplified expression is _ , the value is _.
Answer:
The simplified expression is -4x and the value is -516
Step-by-step explanation:
−12x+14x−6x
Combine like terms
2x-6x
-4x
Let x =129
-4*129
-516
The circumference of a circle is 270.04 centimeters. What is the circle's diameter?
Use 3.14 for .
Answer:
86 cm
Step-by-step explanation:
Find the circumference of a circle that has a diameter 56m
Answer:
the circumference= 175.92918860102841m
Step-by-step explanation:
Answer:
175.929
Step-by-step explanation:
Because to solve this you need to use this formula
Write down the formula for calculating the circumference of a circle; C = πd, where C = circumference, π = 3.14 and d = diameter.