Trisha is not correct in claiming that these mathematical expressions 4(3s + 2) and 5(7s + 3) both equal 20 when s = 1.
What are mathematical expressions?Mathematical expressions are the combinations of variables, numbers, and arithmetic operators without the equation symbol (=).
The basic mathematical or arithmetic operators are addition, subtraction, division, and multiplication.
Mathematical expressions are not the same as equations. Equations show that two or more mathematical expressions are equal or equivalent.
In this situation, the equality of the two expressions can be proved by substituting s with 1, as follows:
Let s = 1
4(3s + 2) = 4(3 + 2) = 4 x 5 = 20
5(7s + 3) = 5(7 + 3) = 4 x 10 = 40
We know that 20 ≠ 40.
Thus, Trisha is not correct in claiming that the two mathematical expressions are equal when s = 1.
Learn more about mathematical expressions at https://brainly.com/question/1859113
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why is 6 divided by zero, zero and zero divided by six is undefined?
Answer:
See below.
Step-by-step explanation:
The reason a number divided by zero is undefined is as follows.
Every operation, addition, multiplication, subtraction, and division, is carried out between two numbers and must have a single correct answer.
For example 1 + 5 = 6. The only correct answer to 1 + 5 is 6. There is no other correct answer to that addition. The same is true of any multiplication, subtraction, or division. Another example: 8/2 = 4. No other correct solution exists to the division of 8 by 2 other than 4.
Division is defined in terms of multiplication.
The definition of dividing a number by another number is:
a divided by b equals c if and only if b * c = a.
For example, 10/5 = 2 if and only if 5 * 2 = 10. 5 * 2 does equal 10, so it is correct that 10/5 = 2.
Now let's try dividing by zero and see the problem that arises.
Let's try to divide 8 by 0.
8/0 =
Since we are not used to dividing by zero, we don't really know what the answer should be, but we can try different answers.
Let's say 8/0 = 8
Then by the definition of multiplication, we need 0 * 8 to equal 8, but we know that 0 * 8 = 0, so the answer of 8/0 cannot be 8. Let's try a different answer.
8/0 = 0, then we need 0 * 0 to equal 8, but 0 * 0 = 0, not 8, so 0 also does not work.
We can generalize and try
8/0 = k, but then that requires 0 * k to equal 8. Since multiplication by 0 always has a result of 0, there is no number k that will multiply by 0 and give 8. This means that a number divided by 0 cannot give a result.
Now let's try one more thing.
What about 0 divided by 0.
Let 0/0 = 1. Then 0 * 1 = 0. It seems to work, but here there is a different problem. We could also say that 0/0 = 2 since 0 * 2 = 0; 0/0 = 3 since 0 * 3 = 0, etc. and now 0/0 can equal every number. The result of a division must be a unique answer, not all numbers.
When we try to divide a non-zero number by 0, no number works in the definition of division, so dividing a non-zero number by 0 is undefined. When we try to divide 0 by 0, every number works. Since there is no unique solution, 0/0 is also undefined. Therefore, division by zero is undefined.
Now the last part of your question.
What about 0 divided by 6?
0/6 = 0 if and only if 6 * 0 = 0. Well, 0 * 6 does equal zero. There is no other number that you can use as the quotient of 0/6 and have the corresponding multiplication equal zero, so 0/6 is indeed 0, and that operation is defined.
0 divided by any number other than zero is a defined division and equals 0.
Conclusion:
(any number)/0 is undefined
0/(any number other than zero) is defined and equals zero
How do I solve for w?
Answer:
w = 8
Step-by-step explanation:
Based on the altitude theorem of a right triangle, we have:
w + 4 = √(24*6)
w + 4 = √144
w + 4 = 12
w + 4 - 4 = 12 - 4
w = 8
Y varies inversely as the square of x. If y=10 and x=4, find x if y=8
Answer:
gmxgmxkydyoduryljfhlduñfixjcigtltgracjas por los puntos gigkckckxkjajguajajajjaa
what is the equation for line b
Answer:
y=1/2x+1
Step-by-step explanation:
you can literally do rise over run to get the answer
9 hours to 2 days what is the ratio
Answer:
3:16
Step-by-step explanation:
2 days = 48 hours
9:48 = 3:16
(5x³-7x²+3x-4)-(8x³+2x²+3x-7)
Answer: =−3x^3−9x^2+3
Step-by-step explanation:
Distribute the Negative Sign:
=5x^3−7x^2+3x−4+−1(8x^3+2x^2+3x−7)
=5x^3+−7x^2+3x+−4+−1(8x^3)+−1(2x^2)+−1(3x)+(−1)(−7)
=5x^3+−7x^2+3x+−4+−8x^3+−2x^2+−3x+7
Combine Like Terms:
=5x^3+−7x^2+3x+−4+−8x^3+−2x^2+−3x+7
=(5x^3+−8x^3)+(−7x^2+−2x^2)+(3x+−3x)+(−4+7)
=−3x^3+−9x^2+3
A company is buying desks and chairs for their new offices. Desks cost $ 225 each and chairs cost$75 each. They have a budget of $1,400. Given the budget, which is a viable option for the furniture they can purchase?
a.5 desks and 4 chairs
b.2 desks and 13 chairs
c.3 desks and 10 chairs
d.4 desks and 6 chairs
PLEASE HELP!
Answer:
D
Step-by-step explanation:
4 desks at $225 each equals $900 (4 × 225)
6 chairs at $75 each equals $450 (6 × 75)
$900 + $450 = $1350
The answer is D
Three shops A, B and C sold cars in January, February
and March. The total number of cars sold in this three-
Three shops A.
respectively. Both A and C sold the same number of
cars in January. The number of cars sold by A and C in
March was also the same. A sold 120 cars in February
which was half of the number of cars sold by C in
March. Both A and B sold exactly the same number of
cars in February. The ratio of the number of cars sold by
B in January and March was 1:4.
What was the ratio of the total number of cars sold in
January, February and March by the three shops?
month period by A, B and C were 460, 320 and 500
A bicycle wheel makes five rotations. The bicycle travels ft. Find the diameter of the wheel in inches. Use 3.14 for .
Answer:
[tex]r=\frac{L}{2pi R}[/tex]
Diameter=2r
inches=12*ft
Step-by-step explanation:
You forgot to say how far the bike travels.
Given R rotations, L feet, and a wheel radius of r, then the relationship is
[tex]L=2\pi rR[/tex]
Solving this for r gives
[tex]r=\frac{L}{2pi R}[/tex]
Diameter=2r
inches=12*ft
Which value of x, from the choices below, make the expressions x + 3 and 2x equivalent?
Answer:
x = 3
Step-by-step explanation:
cuánto es 2 4/8 + 1/4 ayuda porfa
La respuesta es,
[tex]2 \frac{3}{4} [/tex]
using digits 3,6,1 and 5 write the greatest decimal number less than 1 that can be formed without repeating any digit. write it in words
Find the value of x.
Answer:
89
Step-by-step explanation:
area of a circle is 254.34 cm2. What is the diameter of the circle, use 3.14.
The area of a circle is:
Area = PI x r^2 ( r is the radius which is half the diameter)
Using the information in the problem:
254.34 = 3.14 x r^2
Divide both sides by 3.14:
81 = r^2
Take the square root of both sides:
r = 9
The diameter = 2r = 2(9) = 18 cm
Solve for the value of X in the parallelogram below. X = _____
Answer:
One of the properties of parallelograms is that opposite sides are congruent.
Step-by-step explanation:
Answer:
x is equal to 1 and y is equal to 2
Help asap please!! I will mark brainlest and give me the work
Answer:
16 square feet
Step-by-step explanation:
Base: 2 * 2 = 4
Side: 2 * 3 / 2 = 3
4 sides = 3 * 4 = 12
Base + sides = 12 + 4 = 16
Which of the following is most likely the next step in the series ?
Answer:
b
Step-by-step explanation:
it should be red because the colour is alternative
and next we should add a horizontal line
hence b is the next step
Answer:
I'm not sure but I guess the answer is option >D
Step-by-step explanation:
PLS HELP ITS URGENT!! ANSWER FOR POINTS
A random sample of 95 halogen light bulbs had a mean life of 531 hours with a standard
deviation of 33 hours. Construct a 90% confidence interval for the mean life of all light bulbs
of this type.
A) 525.4 < u <536.6
B) 515.3< u < 526.9
C) 527.2 < u <531.8
D) 523.8 < u < 529.5
which number is a multiple of four first answer [a 26] [b 32] [c 14] [d 22]
Answer:
b 32
Step-by-step explanation:
8 x 4 is 32
Of 20 students, 9 are girls
% of girls
% of boys
Answer:
45% and 55%
Step-by-step explanation:
Total student = 20
No of Girls = 9
No of boys = Total student - No of Girls
=20-9
=11
Percentage of Girls = (No of Girls / Total student) * 100
= (9/20)*100
= 45 %
Percentage of Boys = (No of Boys/ Total student) * 100
= (11/20)*100
= 55 %
Help ASAP Draw a tape diagram representing the following situation. You may need to decide what to present with a variable.
At an athletic banquet, an equal number of athletes were seaterd at each of the 7 large tables, and 24 parents were seated together on the other side of the room. There were 87 guests attending.
Answer:9
Step-by-step explanation:87-24=63 and 63 divided by 7 equals 9
Step 6: Show how the masses of the objects affect the gravitational force between them.
a) Create a slide titled How the Masses of Objects Affect the Gravitational Force between
Them.
b) Include this table on your slide:
Mass of Object 1
(kg)
Mass of Object 2 (kg) Gravitational Force
(N)
1 x 1020 1 x 1020 1 x 1040
G
3 x 1020 1 x 1020 3 x 1040
G
2 x 1020 2 x 1020 4 x 1040
G
3 x 1020 4 x 1020 12 x 1040
G
c) Use the table to explain how the masses of Objects 1 and 2 relate to the gravitational force
between them
Answer:
134(47)√45
Step-by-step explanation:
46+24=12 dkkf
fjskkf
Answer:
ik this is late so sry but um hope this helps someone else in the future?
Step-by-step explanation:
We’re going to see how the masses of objects affect the gravitational force between them. Since gravitational force between two objects depends on the mass and distance between them, as you can see in the chart, as the mass of the objects multiplies, so does the gravitational force between them. To find the actual gravitational force between the two objects, you take the mass of both objects and multiply them. Let’s try and find the gravitational force between them. First, we have to find the mass of the object, so we’ll take the mass of objects 1 and 2 in the first equation. So let’s start with object 1, 1x10 to the 20th power which equals 10 to the 20th power, now object 2, 1x10 to the 20th power which equals 10 to the 20th power. Now we multiply the masses to get the gravitational force of 10 to the power of 40.
Hope you have a wonderful day and sry again that this is late
Help ASSp please work out the value of A
Answer:
A = 3x^2 - 3
---------------
2
Step-by-step explanation:
If the perimeter is 56 cm..
x - 1 + 3x + 3x + 1 = 56
7x = 56
x=8
The x - 1 side = 7
The 3x = 1 side - 25
The ex side = 24
The area of a triangle = base time height divided by 2.
So...
x-1 times 3x divided by 2 is your equation.
3x(x - 1) = 3x^2 - 3
A = 3x^2 - 3/2
Hope this is correct!!!
Which inequality is true for r = 20?
2r=40 i this this one is the correct
What is 730 divided by 30
Answer:
24 1/3
Step-by-step explanation:
long division
Write the phrase as an algebraic expression: The product of a number m and three.
Answer:
3m
Step-by-step explanation:
Product means multiplication, so you're multiplying 3 with m.
What is the value of z in the equation 2(4z − 3 − 1) = 166 − 46?
I know that 166-46 is 120 but i get stuck on the distributive property part. I end up with 8z-2. Also I will give brainliest.
Answer:
2(4z − 3 − 1) = 166 − 46
8z − 6 − 2 = 120
8z − 8 = 120
8z = 128
z = 16
pls give the brainliest
Step-by-step explanation:
Answer:
Step-by-step explanation:
you have to multiply 2(4z - 3 - 1 ). so 2 * 4z = 8z. so then you would do 2 * (-3) = -6. then you would do the same with -1. 2* (-1) = -2.
now you have to put it back in equation form. 8z - 6 - 2 = 166 - 46. now you have to combine like terms. -6-2 = -8. 166 - 46 = 120. and then put it back into equation form. 8z - 8 = 120. then you add 8 to 120. 120+8 = 128. now to find z all you have to do is divide 128/8 = 16
z = 16
how many 1/2 inch cubes does it take to fill a rectangular prism with a length of 1 inch, a width of 2 inches and a height of 3 inches
Answer:
Step-by-step explanation:
Classify by degree of polynomial:
3x3 - 6x
Answer:
3x(x2−2)
Step-by-step explanation:
Convert the following angle from degrees to radians. Express your answer in simplest form. 210°
Answer:
Step-by-step explanation:
[tex]\frac{rad}{\theta}=\frac{\pi}{180}\\ \\ rad=\frac{\theta \pi}{180}\\ \\ rad=\frac{210\pi}{180}\\ \\ rad=\frac{7\pi}{6}[/tex]