Answer:
C. 21
Step-by-step explanation:
5 times of x is 5x.
5x + 10 = 35
Remove 10 from both sides to get one side x, and the other side a number.
5x + 10 - 10 = 35 - 10
5x = 25
Both sides of the equation can be divided by 5.
x = 5
3 times of x is 3x.
3x + 6
Substitute in x = 5 from the earlier working.
3(5) + 6
= 15 + 6
= 21
Therefore, the result of 3 times x added to 6 is 21.
Hope this helped! ^^
What is the simplified value of the expression, below, when x = 4 and y = 6? Leave your an
simplified fraction
Show all steps for full credit. Circle your final answer. (4 points).
3x - y/
2y + x please help
Answer:
2
-
2 - 4 ^ 5
Step-by-step explanation:
|−9| − |−5| i hate next gen but help pls
Answer:
4
Step-by-step explanation:
[tex]\mathrm{-9 = 9, -5 = 5,\:because\:they\:are\:in\:absolute\:value}\\9 - 5 = 4[/tex]
Answer:
-4
Step-by-step explanation:
−9 − (−5)
Multiply
−1 by −5.
−9 + 5
Add
−9 and 5.
you get...
−4
Marisol is buying cupcakes for her daughter's birthday party. she will need at least 2 cupcakes, but no more than 8. cupcakes at the local grocery store cost $3 each. the function p(c) = 3c represents the price of buying c cupcakes. what is the domain and range of the function?
The domain of the function is [2,8] while the range is [6,24].
What is the range and domain of a function?A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.
The domain is for the independent variable while the range is for the dependent variable.
Given the function,
p(c) = 3c
Now since Marisol can buy at least 2 cupcakes, but no more than 8.
So,
2 ≤ c ≤ 8 will be the domain of the function.
And,
p(2) = 3(2) = 6
p(8) = 3(8) = 24
So the range is 6 ≤ p(c) ≤ 24.
Hence "The domain of the function is [2,8] while the range is [6,24]".
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John drove 235 miles in 5 hours. If he continued at that same rate, how long would it take to travel 376 Miles?
The speed John will be 47 miles per hour. Then the time to travel 376 miles will be 8 hours.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
John drove 235 miles in 5 hours. Then the speed of the John will be
Speed = 235 / 5
Speed = 47 miles per hour
If he continued at that same rate. Then the time to travel 376 miles will be given as,
47 = 376 / Time
Time = 376 / 47
Time = 8 hours
The speed John will be 47 miles per hour. Then the time to travel 376 miles will be 8 hours.
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Answer:8
Step-by-step explanation:
How many seals would be needed to replace the ? And keep both sides balanced
Answer:
6 zebras
Step-by-step explanation:
Based on the regression output, what proportion of the variability in revenue can be accounted for by whether the red sox are playing away? 22.5
By the given regression output, 22.5 % proportion of the variability in revenue can be accounted for by whether the red sox are playing away
the R- squared is to explain the variability in the dependent variable as an outcome of the difference in the independent variable, therefore the relevant figure here, the revenue is the dependent variable and the Red sox playing away is the independent variable out here.
So, the proportion will be = 0.2252 x 100%
= 22.5%
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Sixteen identical circles are to be cut from a square sheet of fabric whose sides are 0.4 m long. Find the area of the leover fabric (to 2dp) if the circles are made as large as possible.
The left over fabric area is; 0.03 m²
What is the area of the circle?Now, if the radius of a circle is r, then the diameter is;
d = 2r
Now, there are 16 identical circles to be cut from a square sheet of fabric whose sides are 0.4 m long.
Thus, the height of the square will be the diameter of four circles.
Height of square = 4(2r) = 8r
Thus;
8r = 0.4
r = 0.4/8
r = 1/20 m
Left over fabric area = (0.4 * 0.4) - (π × (1/20)²)
Left over fabric area = 0.03 m²
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6/5 Given that and k are roots of the quadratic equation = h(x-2), where h is a constant. Find the values (5x-6)(x+2) of h and k.
Find the magnitude of the net electric field at the origin (created by charges q1 and q2).
The direction of the net magnetic field is [tex]$167.36^{\circ}$[/tex]
How to find the magnitude?[tex]q_1=-4 \mathrm{nC} \text { at }(0.6,0.8)[/tex]
[tex]$q_2=6 \mathrm{nC}$[/tex] at (0.6,0)
[tex]$r_1=$[/tex]Distance of [tex]$q_1$[/tex] from origin[tex]$=\sqrt{0.6^2+0.8^2}$[/tex]
[tex]$r_2=$[/tex] Distance of [tex]$q_2$[/tex] from origin [tex]$=0.6$[/tex]
[tex]$\mathrm{k}=$[/tex] Coulomb constant[tex]$=9[/tex]times [tex]10^9 \mathrm{Nm}^2 / \mathrm{C}^2$[/tex]
Electric field is given by
[tex]&E_1=\frac{k q_1}{r_1^2} \\[/tex]
[tex]&\Rightarrow E_1=\frac{9 \times 10^9 \times 4 \times 10^{-9}}{\sqrt{0.6^2+0.8^2}} \\[/tex]
[tex]&\Rightarrow E_1=36 \mathrm{~N} / \mathrm{C}[/tex]
[tex]&\theta=\tan ^{-1} \frac{0.8}{0.6} \\[/tex]
[tex]&\Rightarrow \theta=53.13^{\circ} \\[/tex]
[tex]&E_1=36 \cos 53.13^{\circ} \hat{i}+36 \sin 53.13^{\circ} \hat{j} \\[/tex]
[tex]&\Rightarrow E_1=21.6 \hat{i}+28.8 \hat{j}[/tex]
[tex]&E_2=\frac{k q_2}{r_2^2} \\[/tex]
[tex]&\Rightarrow E_2=\frac{9 \times 10^9 \times 6 \times 10^{-9}}{0.6^2} \\[/tex]
[tex]&\Rightarrow E_2=150 \mathrm{~N} / \mathrm{C}[/tex]
The charge [tex]$q_2$[/tex] is on the [tex]$\mathrm{x}$[/tex] axis itself and it is pointing towards the origin (left side) so the sign will be negative
[tex]E_2=-150 \hat{i}[/tex]
Resultant electric field
[tex]&E=E_1+E_2 \\[/tex]
[tex]&\Rightarrow E=21.6 \hat{i}+28.8 \hat{j}+(-150 \hat{i}) \\[/tex]
[tex]&\Rightarrow E=-128.4 \hat{i}+28.8 \hat{j}[/tex]
Magnitude of electric field is given by
[tex]&|E|=\sqrt{(-128.4)^2+28.8^2} \\[/tex]
[tex]&\Rightarrow|E|=121.6 \mathrm{~N} / \mathrm{C}[/tex]
Magnitude of the net electric field is [tex]$121.6 \mathrm{~N} / \mathrm{C}$[/tex]
Direction is given by
[tex]\theta=\tan ^{-1} \frac{128.4}{28.8}=77.36^{\circ}[/tex]
From the -x axis
[tex](90+77.36)^{\circ}=167.36^{\circ}[/tex]
The direction of the net magnetic field is [tex]$167.36^{\circ}$[/tex]
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Which relation(s) is/are not a function?
A (-4, 6), (0, 6), (7, 6), (4, 6), (-3, 6)
B (6,-4), (6, 0), (6, 7), (6, 4), (6, -3)
C (4, 1), (8, 2), (12, 3), (16, 4), (20, 4)
D (1, 4), (2, 8), (3, 12), (4, 16), (4, 20)
Answer:
B.
Step-by-step explanation:
B is not a function because it has a duplicate x value. Any function that has the same x value makes it automatically not a function.
Solve for x in the given equation: 1/5 x = 2/5 What would be the inverse operation you would use to solve for x?
What is the value of (2.4)3? 72 18.325 13.824 7.2
The cube of 2.4 is 13.824
What is a cube ?A cube can be described as when a number is multiplied three times. This means a product of the same number three times
From the question we are asked to calculate the cube of 2.4
(2.4)³
= 2.4 × 2.4 × 2.4
= 13.824
Hence the cube of 2.4 is 13.824
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11 and of 1/4 added to 3 and of 1/2
Answer:
11 1/4 + 3 1/2
45/4 + 7/2
(45+14)/4
59/4
14 3/4
Rose, Bill, Jean, and Candice each received different seat numbers to watch the performance. The seat numbers were either 53, 64, 108, or 216. Candice
received the only seat number with a factor of 16. Bill received the seat number that is the greatest multiple of 8 from the group of seats. Rose received the
only seat number that is a prime number. Which seat number did Jean receive?
A .Jean received seat number 53.
B .Jean received seat number 64.
C .Jean received seat number 108.
D .Jean received seat number 216.
It should be noted that the seat number is C
Jean received seat number 108.
How to illustrate the information?It should be noted that from the information, The seat numbers were either 53, 64, 108, or 216. Candice received the only seat number with a factor of 16. This is 64.
Bill received the seat number that is the greatest multiple of 8 from the group of seats. This is 216.
Rose received the.only seat number that is a prime number. This is 53
Therefore, the remaining number is 108.
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This figure is composed of a parallelogram and a trapezoid.
32 cm
26 cm
40 cm
T
16 cm
1
What is the area of the figure in square centimeters?
Answer:
944cm²
Step-by-step explanation:
Area = Area of parallelogram + Area of trapezoid
Area of parallelogram= l× b= 16×26= 416cm²
Area of trapezoid= h/2(a+b)
where a=26cm, b=40cm, h=16cm
Area of trapezoid= 16/2(26+40)=8(66)=528cm²
Area= 416+528=944cm²
Find a₁for each arithmetic series. Sa₃₀=240 and d=-2
As a reminder, an arithmetic sequence or arithmetic progression (AP) is a progression in which the difference (called the tolerance) between two consecutive terms in the progression is constant.
Therefore, the expression for the nth term is
an = a₁ + (n − 1) d
and in general
an = am + (n - m) d.
where d is the difference.
For an arithmetic series with initial term a₁ and difference between terms of d
an = a₁ + (n − 1) d
We are told
d = -2 and
S8 = 240
So,
a1 = 240 = a1 + ( 30 - 1) * ( -2 ) = a1 - 58
a1 = 240+58 =298
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Rani is making rice pudding. She uses
cup
cup of white rice for every 2 cups
of milk. How many cups of rice does she need when she uses 3 cups of
milk?
Rani will use 3/2 cups of white rice for 3 cups of milk.
What is termed as unitary method?"It is a method in which we obtain the value of a single unit by subtracting the value of multiple units and thus the value of multiple units by subtracting the value of a single unit."
The value of several things is given in the unitary method, and we must either figure out the significance of more or lesser things. To do so, we must first determine the value of one item by division and then determine the value of ever more or fewer items by multiplication.Now, for the given question;
1 cup of white rice is required for every 2 cups of milk by Rani.
Thus,
2 cups of milk ------> 1 cup of white rice.
So, using unitary method. Divide both side by 2.
1 cups of milk ------> 1/2 cup of white rice.
Now, calculate for the 3 cups of milk.
multiplying both side by 3.
3 cups of milk ------> 3/2 cup of white rice.
Therefore, the 3/2 cups of white rice required for the 3 cups of milk.
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Aaron is helping his uncle plant an apple orchard. After picking up a truckload of trees, they plant 12 of them. The next day, they still have 40 trees left to plant. Which equation can you use to find the total number of trees n in the original truckload?
A new apple orchard is being planted by Aaron's uncle. They plant 12 trees after picking up a truckload of them. They still need to plant 40 trees the following day.
The letter (N) is the symbol used to represent natural numbers. Natural numbers are also known as counting numbers, and they begin with the number 1 and continue to infinity (never ending), which is represented by three dots (...)
900n - 9[tex]n^2[/tex] = A(n) = n(900 - 9n)
For the highest A(n), A'(n) = 0, A'(n) = 900 - 18n = 0, 18n = 900, and n = 900/18 = 50.
50 trees should be planted per acre to produce the most apples possible
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A printing service charges a set-up fee of $10.00 for each order and 8 cents more for each copy. The total cost, C (in dollars), for an order of x copies is given
by the following function.
C(x) = 10.00 +0.08x
What is the total cost for an order of 50 copies?
Answer:
$14 for 50 copies.
Step-by-step explanation:
Given that,
→ C(x) = 10.00 + 0.08x
Then the cost for 50 copies will be,
→ C(50) = 10.00 + (0.08 × 50)
→ C(50) = 10.00 + 4
→ [ C(50) = $14 ]
Hence, the total cost of $14.
what are the next three terms of the sequence 1,11,22,34
Answer:
47, 61, 76
Step-by-step explanation:
1 to 11 is 10, 11 to 22 is 11, 22 to 34 is 12. So you are increasing what you are adding by 1. So next you'd add, 13, 14, and 15 respectively. 34+13 is 47, 47+14 is 61, and 61+15 is 76.
#15: m∠NST = ____°
need answer
Answer:
∠ NST = 59°
Step-by-step explanation:
∠ NST and ∠ LSN form a right angle , that is
∠ NST + ∠ LSN = 90
3x - 1 + 2x - 9 = 90
5x - 10 = 90 ( add 10 to both sides )
5x = 100 ( divide both sides by 5 )
x = 20
Then
∠ NST = 3x - 1 = 3(20) - 1 = 60 - 1 = 59°
What does the y-coordinate have to be for a point to be on the x-axis?
Step-by-step explanation:
If we're talking about something like y coordinate being on the x axis, I'd have to say 0. Because it would be on the y axis no matter the coordinates of it isn't a 0. Ex : (0,0) and (0,9). (0,9) would have the point going upwards on the y axis.
Match each pair of inverse operations.
1. cubing
subtraction
2. multiplication
division
3. squaring
taking the square root
4. addition
taking the cube root
Long division 1,755 divided by 27
Answer:
65
Step-by-step explanation:
Consider sets a = { x | x is a prime number less than 7} and b = { y | y is perfect square of an integer and y is less than 29}. what is the cardinality of the cartesian product of a and b ?
The cardinality of the cartesian product of A and B is 18.
Cartesian Product of two sets A and B is defined as the set of all ordered pairs (a,b) where a∈A & b∈B.
Cardinality of a set is defined as the number of elements in that particular set.
For example, for a set A={2,6,4} , the cardinality is 3.
Given set A= { x | x is a prime number less than 7}
A={2,3,5}
set B = { y | y is perfect square of an integer and y is less than 29}
B={0,1,4,9,16,25}
The cartesian product of A and B denoted by AxB will be
AxB={(2,0),(2,1),(2,4),(2,9),(2,16),(2,25),(3,0),(3,1),(3,4),(3,9),(3,16),(3,25),(5,0),(5,1),(5,4),(5,9),(5,16),(5,25)}
The number of elements in AxB is 18.
Therefore , the cardinality of the cartesian product of A and B is 18.
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help me with this please!
Using the function concept, we have that:
Items 1, 4, 5, 6, 8 and 10 are functions.Items 2, 3, 7 and 9 are not functions.When does a relation represents a function?A relation represents a function when each value of the input is mapped to only one value of the output.
For the relations that are not functions, we have that:
Relation 2: Suppose x = sqrt(5), then y = 2 or y = -2, that is, for each value of x, there are two values of y associated with it, hence it is not a function.Relation 3: Input 3 is associated with outputs 4 and 2, hence it is not a function.Relation 7: Input 9 is associated with outputs -18 and 17, hence it is not a function.Relation 9: Input 9 is associated with outputs -16 and 9, hence it is not a function.More can be learned about relations and functions at https://brainly.com/question/12463448
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Select the correct answer. Which expression simplifies to 2√15
Answer:
√
30
Step-by-step explanation: Simply multiply
√
2
and
√
15
=
√
30
[Caution: If it were -2 and -15, this type of multiplication would not be correct.]
For every 12 games Purdue wins in football, IU only wins 5. If Purdue wins 36 games, how many will IU win?
Answer:
15
Step-by-step explanation:
Purdue : IU
12 : 5
36 : x
cross multiply
36*5 = 12x
180 = 12x
180/12 = x
x = 15
Answer:
36/12= 3 so 5*3 would give you 15
Evaluate the function f(x)= |x+4|−5 for
Answer:
f(-1) = |-1+4| - 5 = -2
f(0) = |0+4| -5 = -1
f(2) = |2+4| -5 = 1
Solve for .
5x- 4 >_12
Choose 1 answer:
12x+ 5< _=-4
Answer:
x = 3.2 and No solution.
Step-by-step explanation:
5x - 4 = 12
5x = 12 + 4
5x = 16 (divide both sides by 5 to get x)
5x/5 = 16/5
x = 3.2
–––––––––––––––––––––––––––––
5x-3≥12 AND 12x+5≤-4. Solve it separately.
5x - 4>=12. add 4 on both sides. 5x>=16.