Answer:
7*x + y + 0.1*z
Step-by-step explanation:
An expression that satisfy what Ava said she wrote is the following:
7*x + y + 0.1*z
because
it has 3 terms (each summand);the coefficient (the number that multiplies the variable) of the first term is 7, of the second term is 1 (it is omitted because 1*y = y) and of the third term is 0.1;each term involves a different variable: x, y and z.Answer:
The expression can be written as
7a + b + 0.1c
Step-by-step explanation:
Ava wrote an expression with three terms . According to the question each term involve a different variable. This means the term have different value. Since the term have different variable, each term can be represented as follow:
a , b and c
The first term which is a has a coefficient of 7. The second term which is b has a coefficient of 1 and the last term which is c has a coefficient of 0.1.
The coefficient of any value is usually the number in front of it.
The three terms and their coefficients can be expressed as follows:
First term and coefficient = 7a
Second term and coefficient = 1b
Third term and coefficient = 0.1c
The expression Ava wrote can be represented as follows
7a + b + 0.1c
Note an expression that contains variable , symbols( +, - ) and numbers is known as an algebraic expression. And
7a + b + 0.1c is an algebraic expression.
Which equation is true for the function h(x) = 16*?
Answer:
opiton b
Step-by-step explanation:
To find out which equation satisfies h(x) we need to check with each option
We plug in x value
A) h(–1.25) = –0.5
Plug in -1.25 for x in h(x) = 16^x
That is not true
B) h(–0.5) = 0.25
Plug in -0.5 for x
That is true.
C) h(0.75) = 12
Plug in 0.75 for x
That is not true.
D) h(1.25) = 20
Plug in 1.25 for x
That is not true
Please answer both questions
1. A floor plan of a house was drawn using a scale of 1 cm = 1.5 m. The family room in the plan is pictured as 5 cm by 4 cm. What is the area, in square meters, of the actual family room. (please see picture below)
A: 20
B: 27
C: 30
D: 45
2. Liz chose C as the correct answer. How did she get that answer?
Answer in complete sentences.
Answer:
D. 45
Step-by-step explanation:
1. The solution to the question above is answered in the attached picture.
2. Liz is wrong for choosing option C as answer. Liz actually performed this operation to get 30: 1.5 × 5 × 4 = 30.
The number of applicants to a university last year was 11,450. This year, the number of applicants grew by 2%. How many applicants are there this year?
11,679
13,740
20,610
23,900
Answer:
11679
Step-by-step explanation:
Increased by 229
First you need to find the 2%
So to find the 2%
2/100 * 11450=229
Now add 11450+229= 11679
Answer:
11,679
Step-by-step explanation:
Start off making the 2% into a decimal so you can multiply it with the full amount of applications for the year before. 2% in decimal is .02 because you move the decimal twice to the left. Now that you have .02, multiply it by 11,450. (11,450)*(.02) which should be 279. Now you have to add the 279 to the 11,450 because they were admitted as well. (11,450+279)= 11,679
−1.2·(−0.4−(−4.6)−(+4.7))
Answer:
0.6
Step-by-step explanation:
16,48, 144, ...
Find the 6th term.
Answer:
3,888
Step-by-step explanation:
3•16=48
48•3=144
144•3=432
432•3=1,296
1,296•33,888
Answer:
3, 888
Step-by-step explanation:
Just multiply by 3 to get the next number
or
Nth term = 16 × (3^N-1)
the end of the year, after taxes, a manufacturing firm has $230,000 in revenues, $90,000 in production costs, and $140,000 in opportunity costs. How much economic profit did the firm make?
Answer: 50
Step-by-step explanation:
Final answer:
The firm's economic profit is calculated by subtracting both explicit and implicit costs from the total revenues. Upon performing this calculation, we determine that the firm made an economic profit of $0 since the costs equaled the revenues.
Explanation:
To calculate the economic profit of the firm, we subtract both explicit (actual monetary payments) and implicit (opportunity) costs from the total revenues. The firm has $230,000 in revenues after taxes, $90,000 in production costs (explicit costs), and $140,000 in opportunity costs (implicit costs). Therefore, the calculation for economic profit is as follows:
Total Revenues - Explicit Costs - Implicit Costs = Economic Profit
$230,000 - $90,000 - $140,000 = $0
So, the firm did not make any economic profit, as the explicit and implicit costs equaled the total revenues.
Each statement describes a transformation of the graph of y-in x. Which statement correctly describes the graph of y-In(x - 7) + 3?
A.
It is the graph of y-In x translated 3 units up and 7 units to the left.
B.
It is the graph of y=in x translated 7 units down and 3 units to the right.
C.
It is the graph of y=In x translated 7 units up and 3 units to the right.
D.
It is the graph of y= In x translated 3 units up and 7 units to the right.
Answer:
It is the graph of F translated 3 units up and 7 units to the right
Step-by-step explanation:
this is for PLATO users
Apply the distributive property to factor out the greatest common factor.
250-150x =
Answer:
[tex]50(5 - 3x)[/tex]
Step-by-step explanation:
The given expresion is
[tex]250 - 150x[/tex]
The greatest common factor is 50.
We rewrite using the distributive property to get;
[tex]50 \times 5- 50 \times 3x[/tex]We collect the highest common factor to obtain:
[tex]50(5 - 3x)[/tex]
Therefore when we factor out the greatest common factor from the given expresion we get;
[tex]50(5 - 3x)[/tex]
To apply the distributive property and factor out the greatest common factor from the expression 250-150x, we need to find the largest number that evenly divides into both numbers. In this case, the greatest common factor is 50, so the expression can be rewritten as 50(5 - 3x).
Explanation:To factor out the greatest common factor from the expression 250-150x, we need to find the largest number that evenly divides into both 250 and 150. In this case, the greatest common factor is 50. We can rewrite the expression as 50(5 - 3x).
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what is another way to write 138-(-89)?
Another way of writing 138 - (- 89) is 138 + 89 which is 227.
What are some alternative names for arithmetic operations?Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.
We know negative distribution to a negative sign is positive.
The given expression is 138 - (- 89).
= 138 + 89.
= 227.
The sign distribution are (-, -) = +, (+, +) = +, (-, +) = -, (+, -) = -.
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Match the following pair of angles with their respective definitions.HELP
Answer:
Step-by-step explanation:
3 and 7 - corresponding
2 and 7 - alt exterior
4 and 5 - alt interior
3 and 6 - alt interior
Answer:
3 and 7 are Corresponding Angles
2 and 7 are Alternate Exterior Angles
4 and 5 are Alternate Interior Angles
3 and 6 are Alternate Interior Angles
Step-by-step explanation
3 and 7 are in the same place as each other. 2 and 7 are alternate and on the outside (not in between the 2 horizontal lines) leaving the other 2 which are alternate and on the inside.
What are the First 4 terms 12-n
Answer:
11, 10, 9, 8
Step-by-step explanation:
To find the first 4 terms substitute n = 1, 2, 3, 4 into the expression, that is
12 - 1 = 11
12 - 2 = 10
12 - 3 = 9
12 - 4 = 8
The first 4 terms are 11, 10, 9, 8
The first four terms of the sequence defined by the expression 12-n are 11, 10, 9, and 8 when substituting the first four natural numbers for n.
The first four terms of the sequence defined by the expression 12-n can be determined by substituting the first four natural numbers for n. Let's calculate the first four terms of the sequence step-by-step.
For n = 1: 12 - 1 = 11
For n = 2: 12 - 2 = 10
For n = 3: 12 - 3 = 9
For n = 4: 12 - 4 = 8.
Therefore, the first four terms of the sequence are 11, 10, 9, and 8.
1. In the formula V = lwh, the variable h needs
to be isolated. The operation
Is used in the formula. The inverse operation,
_, should be used to
isolate
Answer:
[tex]H=\frac{V}{LW}[/tex]
see the explanation
Step-by-step explanation:
we know that
Using inverse operations, the formula can be rearranged to solve for any one of the variables that might be unknown.
we have
[tex]V=LWH[/tex]
The operation of multiplication is used in the formula
so
The inverse operation of division should be used to isolate the variable H
so
Divide both sides by LW
[tex]\frac{V}{LW}=\frac{LWH}{LW}[/tex]
simplify
[tex]H=\frac{V}{LW}[/tex]
Need help asappp thank you
Answer:
[tex]4 \frac{3}{6} = \frac{27}{6} [/tex]
The correct answer is B.
Does 36x+24=12(x+2+2x) , have no solution, one solution, many solutions?
Answer:
No solution
Step-by-step explanation:
Answer:
36x+24=12(3x+2)
36x+24=12*3x+12*2
36x+24=36x+24
36x-36x=24-24
0=0
Have many solutions is the answer
Step-by-step explanation:
In every way I choose the value of x this equation is true
A bag contains two red marbles and three blue marbles. You randomly pick a marble. Find the number of possible outcomes in the sample space.
Final answer:
The sample space for picking a single marble from a bag containing two red and three blue marbles has 5 outcomes, represented as R1, R2, B1, B2, B3.
Explanation:
To determine the number of possible outcomes in the sample space when you randomly pick a marble from a bag containing two red marbles and three blue marbles, you must consider each marble as a distinct possibility. Since there are 5 marbles in total, each draw from the bag has 5 potential outcomes. It does not matter the color of the marble; each draw represents a distinct event with 5 possible outcomes.
Therefore, the sample space, which represents all possible outcomes, contains 5 elements. These outcomes can be represented as R1, R2, B1, B2, and B3, where 'R' stands for red marbles, 'B' stands for blue marbles, and the numbers differentiate between the individual marbles.
Find the dimensions of the square
Area=441cm over 2
Answer:
each side is 55.125cm
Step-by-step explanation:
you have to divide the area by 2
then do 441/2=220.5
then divide this by 4 because a square has 4 equal sides so 220.5/4=55.125
For each sequence, find the first 4 terms and the 10th term.
a.) n + 5
b.) 2n – 1
The first 4 terms of sequences a) n + 5 and b) 2n - 1 are calculated, as well as the 10th term of each sequence.
Explanation:For the sequence a) n + 5:
First 4 terms: 1 + 5 = 6, 2 + 5 = 7, 3 + 5 = 8, 4 + 5 = 9
10th term = 10 + 5 = 15
For the sequence b) 2n - 1:
First 4 terms: 2(1) - 1 = 1, 2(2) - 1 = 3, 2(3) - 1 = 5, 2(4) - 1 = 7
10th term = 2(10) - 1 = 19
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Date:
You roll a fair dice. What is the probability that you obtain:
(a) a five
(b) a three, (c) an even number,
(d) a multiple of 3,
(e)
a number less than 6?
4.
Ajar contains 4 red balls, 3 green balls and 5 yellow balls. One ball is taken
at random from the jar. What is the probability that it is:
(a) green,
(b) med
(e) yellow
(d) not red,
(e)
yellow or red?
6.
A spinner is numbered as shown in the diagram.
Each score is equally likely to occur.
What is the probability of scoring
(a) 1,
(b) 2,
(d) 4,
(c) 5,
( a number less than 6?
Find the probability of each outcome if a computer randomly
chooses a letter in the word "mathematical."
5. the lettert 6. the letter a ore 7 the letter d
8. not an m
Answer:
#3 1/6, 1/6, 1/2, 1/3, 5/6.
#4 3/12, 4/12, 5/12, 8/12, 9/12
Step-by-step explanation:
#3 is numbers out of six (fractions).
#4 is the same thing. You add all of the numbers (4, 3, and 5) to get the total and then you subtract to get the probability.
These are all I know.
y = 3x
5x + 2y = 44
Answer:
x=4
Step-by-step explanation:
since Y is 3x, then substitute the y with 3x which is 2*3x=5x and then plus the 5x which is 11x in total which equals to 44 (11x=44) then divide that you get: x=11.
Answer:
x=4
Step-by-step explanation:
substitute the value of y
5x+2(3x)=44
5x+6x=44
11x=44
divide both sides by 11
x=4
Solve.
89.20 - 4.099
Help
Answer: 85.101
Step-by-step explanation:
89.20 - 4.099
= 85.101
How far up will a 15 meters ladder reach, if the foot of the later must be 9 meters from the base of the wall
Answer:
12
It is a common Right triangle side - 9-12-15. its the same as a 3-4-5 triangle
Answer: 12
Step-by-step explanation:
15 is the hypotenuse (c), and 9 is one side (a)
a^2+b^2=c^2
1. Find Values of Squared Numbers: 81+b^2=225
2. Subtract 81 from 225: b^2=144
3. Find the square root of each side: b=12
Josie and her brother, Sean both have a job after school. For every $5.50 that Josie earns, her brother earns $6.50. On Tuesday, they earned $30.00. How much money did Josie earn? How much did her brother earn?
Answer:
The amount earned by Josie was $13.75 and the amount earned by her brother was $16.25
Step-by-step explanation:
Let
x ----> amount earned by Josie
y ---> amount earned by her brother
we know that
[tex]\frac{x}{y}=\frac{5.50}{6.50}[/tex]
[tex]x=\frac{5.50}{6.50}y[/tex] ------> equation A
[tex]x+y=30.00[/tex] -----> equation B
Solve the system by substitution
Substitute equation A in equation B
[tex]\frac{5.50}{6.50}y+y=30.00[/tex]
solve for y
[tex]\frac{12.00}{6.50}y=30.00[/tex]
[tex]y=6.50(30.00)/12.00\\y=\$16.25[/tex]
Find the value of x
[tex]x=\frac{5.50}{6.50}(16.25)\\\\x=\$13.75[/tex]
therefore
The amount earned by Josie was $13.75 and the amount earned by her brother was $16.25
Answer:
Step-by-step explanation:
Given that For every $5.50 that Josie earns, her brother earns $6.50.
Tuesday, they earned $30.00
Using the ratio and the proportional
Josie : Sean : Total
5.5 : 6.5 : 12
x : y : 30
So, x = 5.5 * 30/12 = 13.75
And y = 6.5 *30/12 = 16.25
So, Josie will earn $13.75 and her brother Sean will earn $16.25
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A town has a population of 14000 and grows at 5% every year. What will be the population after 14 years, to the nearest whole number?
Using the exponential growth formula, the town's population of 14,000 growing at a rate of 5% per year will reach 27,706 after 14 years.
To calculate the future population of a town with a given growth rate, we use the formula for exponential growth, which is:
[tex]P_{t} = P_0 (1 + r)^t[/tex]
Given a town with an initial population (P0) of 14,000 and a growth rate (r) of 5% or 0.05, want to find the population after 14 years (t).
Plugging in the values into the formula:
P(14) = 14,000 × (1 + 0.05)¹⁴
P(14) = 14,000 (1.05)¹⁴
P(14) = 14,000 1.9791
P(14) = 27,706.24
To the nearest whole number, the population after 14 years will be 27,706.
On the first four exams, Steve's grades are 70, 76, 88, and 92. There is still one more exam and he is hoping to earn a B in the course. This will occur if the average of his first five exam grades is greater than or equal to 80 and less than 90. What range of grades on the fifth exam will result in earning a B?
The range of grades on the fifth exam that results in earning a B is ___? If the highest grade is 100, then
_____.
The range of grades on the fifth exam that will result in Steve earning a B in the course is 74 to 100 inclusive, as he needs at least a 74 to bring his average up to 80, and any score above 100 is not possible.
Explanation:To calculate the range of grades on the fifth exam that will ensure Steve earns a B in the course, we need to determine what final score on the fifth exam will result in an average between 80 and 90 for all five exams.
Let's first add up the scores from Steve's first four exams:
70 + 76 + 88 + 92 = 326To achieve an average of at least 80, the total sum of all five exam grades must be at least 400 (because 80 is the minimum average for a B, and 80 times 5 exams equals 400). So, the minimum score Steve needs on the fifth exam is:
400 - 326 = 74Steve needs at least a 74 on the fifth exam to achieve an average of 80. If we want to ensure the average does not reach 90, the total sum of all five exam grades must be less than 450 (because 90 times 5 exams equals 450). The highest score Steve can get on the fifth exam and still remain in the B range is:
450 - 326 = 124However, since Steve cannot score more than 100 on the fifth exam, the maximum score remains capped at 100.
Therefore, the range of grades on the fifth exam that will result in earning a B is 74 to 100 inclusive.
Circle A is congruent to circle J. Chords BC, CF, EG, KL, LO, and MP are congruent.
Circles A and J are congruent. Chords B C, C F, E G, K L, L O, and M P are congruent.
Which arcs are congruent? Check all that apply.
Arc B C ≅ Arc M P
Arc B C ≅ Arc M O
Arc C F ≅ Arc K P
Arc E G ≅ Arc K L
Arc L O ≅ Arc M P
Answer:
its 1,4,5 i just did the test
Step-by-step explanation: //
Answer:
1,4,5
Step-by-step explanation:
please help with geometric mean!!
The exact value of y is [tex]4\sqrt{3}[/tex].
Solution:
The attached below shows how the formula is written.
Using geometric mean,
Total base length (p + q) = 8
q = 6
p = 8 – 6 = 2
Let us first find the height of the triangle.
[tex]h^2=pq[/tex]
[tex]h^2=2\times6[/tex]
[tex]h^2=12[/tex]
Taking square root on both sides,
[tex]h=\sqrt{12}[/tex]
Using Pythagoras theorem,
In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.
[tex]y^2=(\sqrt{12})^2+6^2[/tex]
[tex]y^2=12+36[/tex]
[tex]y^2=48[/tex]
[tex]y=4\sqrt{3}[/tex]
The exact value of y is [tex]4\sqrt{3}[/tex].
What is 87+x=100?
A. 13
B.41
C. 11
D. 20
Hey there!
When we solve for x, we need to isolate x on one side.
This is just a one-step equation, meaning there is only one thing we need to do to solve for x, or isolate x.
Starting with 87 + x = 100:
Subtract 87 from each side.
87 - 87 + x = 100 - 87
Simplify. Subtracting 87 from 87 makes it equal to 0.
x = 13
Your answer is A. 13.
Hope this helps!
Hello!
The answer to the problem is A) 13
Move all terms containing x to the left, all other terms to the right.
Add '-87' to each side of the equation
[tex]87 + -87 + x = 100 + -87[/tex]
Combine like terms: 87 + -87 = 0
[tex]0 + x = 100 + -87[/tex]
[tex]x = 100 + -87[/tex]
Get your answer
[tex]x=13[/tex]
Hope This Helps!
Use the rules of exponents to evaluate or simplity. Write without negative exponent.
y^-5/y^-2
Answer:
Step-by-step explanation:
Answer:1/y^3
Step-by-step explanation:
y^(-5)/y^(-2)
(1/y^5)/(1/y^2)
(1/y^5)x(y^2/1)
(1 x y^2)/(1 x y^5)
(y^2)/(y^5)
(yxy)/(yxyxyxyxy)
1/y^3
A building 50 feet high casts a shadow 68 feet long.
Find the measure of the angle of elevation of the sun
Round you answers to the nearest whole degree.
Angle of Elevation =
degrees
Answer:
angle of elevation=36°
Step-by-step explanation:
tan ~\theta=\frac{height}{base} =\frac{50}{68} =\frac{25}{34} \\\theta=tan^{-1}(\frac{25}{34}) \approx 36
Determine if the given side lengths could be used to form a unique triangle, many different triangles, or no
triangles
12 ft 7ft. 14 ft
A unique triangle
B many different triangles
C no triangles
Answer:
A unique triangle
Step-by-step explanation:
12+7 > 14
12 + 14 > 7
7 + 14 > 12
By the Triangle Inequality Theorem, 12, 7, 14 can make a triangle ( not take triangle's direction or in which quadrant into our consideration)