Answer:
The answer is 5 ( 6 + x ) = 20
Step-by-step explanation:
Five times = You are multiplying 5 to a number(s)
Sum of 6 and some number = Sum means to add. You are adding 6 to an unknown number.
In terms of x = You do not know what you are adding 6 with. Therefore 6+x.
is 20 = The total is 20.
To solve:
5 ( 6 + x ) = 20
30 + 5x = 20 Use the distributive property and multiply 5 to the 6 and the x
-30 + 5x = -30 Subtract the 30 on both sides
5x = -10 The 30's would cancel each other out and this is what's left
5x/5 = -10 / 5 Divide 5 on both sides.
x = -2 The 5 cancels each other on the left side.
x = -2 Is your answer
Hope this helps!
Choose the correct statement!
Answer:
i think it is c but i am not for sure hope that helps
4v = 20
Help please
Answer:
v=5
Step-by-step explanation:
you are trying to make 4v into v right ?
so simply divide it by 4 - the same if it was 4a or 7a or 9k, always start by dividing by the number
then you need to balance the two sides - so whatever number you divide the letter by (which is the 4 in this case) , you do the same with the other side , so whatever number is after the equal sign , divide it by 4
PART ONE ↓ 4v = 20
DIVIDE BY 4 → v = 20
PART TWO v = 20 ↓
v = 5 ← DIVIDE BY 4
How many positive terms are in an arithmetic progression: 17.2; 17; 16.8
Answer:
3
Step-by-step explanation:
a = first term = 17.2
tn = last term = 16.8
d= common difference = -0.2
n = number of terms = ?
To find the number of positive terms, we'll use the formula;
tn = a + (n - 1) d
Substituting the figures,
=> 16.8 = 17.2 + (n -1) -0.2
=> 16.8 - 17.2 = (n - 1) - 0.2
=> -0.4 = (n - 1) - 0.2
=> -0.4/-0.2 = n - 1
=> n - 1 = 2
=> n = 3
Therefore, the number of positive terms in the sequence is 3
Two students have examined the scatter plot shown and have created a line of best fit for the data. Student A believes that the line of best fit for the data is y=−2x+24, while Student B believes that the line of best fit for the data is y=1.5x+23. Determine which student created a better line of best fit given the data in the graph. Justify your answer using mathematics.
Answer:
Is student B because student B data has -2 which is facing the same way the scatter plot is while student A is facing the left while the scatter plot is on the right.
If you don't understand go to desmos graphing calculator and enter y=−2x+24 and y=1.5x+23.
Julie started to solve the exponential expression (–2)3. (–2)3 = –2 ⋅ –2 ⋅ –2 = ? Which of these explains why Julie gets a negative number for her final answer? Question 25 options: The exponent 3 is an odd number. The base –2 is an even number. The base –2 is a negative number. The exponent 3 is a positive number.
Answer:
The base –2 is a negative number
Step-by-step explanation:
We need to solve the exponential expression (–2)³.
(–2)³ = -2×-2×-2
= -8
The final answer is -8. It is negative. It is because the base i.e. -2 is an even number. If the base is negative and the power is odd, the answer will be a negative number. Here, base is -2, power is 3. Hence, the correct option is (c) "The base –2 is a negative number".
Answer:
The exponent 3 is an odd number.
Step-by-step explanation:
Since the exponent (3) is an odd number, the answer will be negative. Answer: –8
Sidenote: I got this answer correct on the test :)))
-9-5x>6= what pls answer
Answer:
X< -3
( − ∞ , − 3 )
2x+3y= -18 on the graph
Answer:
graph two points at the coordinates (-6, 0) and the coordinates (-8, 3), and make a line through them.
Step-by-step explanation:
First simplify. 2x+3y= -18., -----------> 3y= -2x -18., ---------> y= -2/3x -6
To graph this you would first go to the coordinates (-6, 0) and put a point there. Next, you would go to the coordinates (-8, 3) and put a point there. Then make a line and you are done. That should be right.
SOME ONE PLEASE HELP I WILL GIVE 20 POINTS
Which one of following graphs the equation
Y=1/3x-2
As an estimation we are told £3 is 4 euros. Convert £28.50 to euros.
Answer:
38 euros
Step-by-step explanation:
£3=4 euros
28.50=
28.50/3=9.5
4 x 9.5=
Solve five ninths minus two sixths equals blank.
twelve fifty fourths
twenty fifty fourths
six thirds
three over one
The result of five ninths minus two sixths is two - ninths.
Let us first write the words in figures so that we can perform the required calculation;
five ninths = 5/9
two sixths = 2/6
This means that we are simply asked to subtract 5/9 from 2/6
Hence;
5/9 - 2/6, we have to take LCM. The LCM of 5/9 and 2/6 is 18. The term LCM actually means lowest common multiple of 9 and 6.
So;
[tex]\frac{10 - 6}{18} = \frac{4}{18} = \frac{2}{9}[/tex]
Learn more: https://brainly.com/question/6284546
Answer
the answer would be 12/54 i did the test and got 100%
Step-by-step explanation:
.
9. Three eggs are required to make two dozen muffins. How many eggs are
needed to make 12 dozen muffins?
Answer:
18 eggs
Step-by-step explanation:
David invested $340 in an account paying an interest rate of 2\tfrac{1}{8}2 8 1 % compounded continuously. Natalie invested $340 in an account paying an interest rate of 2\tfrac{3}{4}2 4 3 % compounded quarterly. After 17 years, how much more money would Natalie have in her account than David, to the nearest dollar?
Answer:
$53.83
Step-by-step explanation:
For David
David invested $340 in an account paying an interest rate of 2\tfrac{1}{8}2 8 1 % compounded continuously.
r = 2 1/8% = 17/8% = 2.125% = 0.02125
t = 17 years
P = $340
For Compounded continuously, the formula =
A = Pe^rt
A = Amount Invested after time t
P = Principal
r = interest rate
t = time
A = $340 × e^0.02125 × 17
A = $ 487.94
For Natalie
Natalie invested $340 in an account paying an interest rate of 2\tfrac{3}{4}2 4 3 % compounded quarterly.
r = 2 3/4 % = 11/4% = 2.75% = 0.0275
t = 17 years
P = $340
n = compounded quarterly = 4 times
Hence,
Compound Interest formula =
A = P(1 + r/n)^nt
A = Amount Invested after time t
P = Principal
r = interest rate
n = compounding frequency
t = time
A = $340 (1 + 0.0275/4) ^17 × 4
A = $ 541.77
After 17 years, how much more money would Natalie have in her account than David, to the nearest dollar?
This is calculated as
$541.77 - $ 487.94
= $53.83
Hence, Natalie would have in her account, $53.83 than David
Dawn works at the sponge factory and puts sponges in bags. She gets paid $0.12 for every sponge. If she got a paycheck for $864.00, then how many sponges did she put in bags?
A. 7,200
B. 23,000
C. 103
D. 865
Answer:
A 7,200 is the answer. I divided 864 by 0.12 and got that answer
Answer:
answer is A
A. 7,200
Step-by-step explanation:
Hope this helps
7(8i+9) (Show work please)
The tree casts a shadow 48ft long. At the same time of day an alien who is 7ft tall
casts a shadow 12ft long. What is the height of the tree? Explain or show all work.
Answer:
28 ft
Step-by-step explanation:
Since the shadows were cast at the same time of the day, both triangular images formed would be similar to each other.
Therefore, the ratio of their corresponding sides would be equal.
That is, the height of the tree / the height of the alien = the shadow of the tree / the shadow of the alien
Height of the tree = x ft
Height of the alien = 7 ft
Shadow of the tree = 48 ft
Shadow of the alien = 12 ft
Plug in the values into the proportional equation stated earlier.
Thus, the ratio of their corresponding sides would be:
[tex] \frac{x}{7} = \frac{48}{12} [/tex]
Cross multiply
[tex] x*12 = 48*7 [/tex]
[tex] 12x = 336 [/tex]
Divide both sides by 12
[tex] x = \frac{336}{12} [/tex]
[tex] x = 28 [/tex]
The height of the tree = 28 ft
Find the slope of (2,5) (-3,-5)
Answer:
slope is m = 2
Answer:
2Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]
From the question we have
[tex]m = \frac{ - 5 - 5}{ - 3 - 2} = \frac{ - 10}{ -5 } = \frac{10}{5} = 2\\ [/tex]
We have the final answer as
2Hope this helps you
write a function expressing how pressure change depending on the under water
Answer:
When diving in the ocean, you must consider how much pressure you will experience from diving a certain depth.
From the atmosphere, we experience about 14.7 pounds per square inch (psi) and for every foot we dive down into the ocean, we experience another 0.44 psi in pressure.
How far (in feet) can you dive without experiencing more than 58.7 psi of pressure on your body?
:
let d = the depth which gives 58.7 psi
.44d + 14.7 = 58.7
.44d = 58.7 - 14.7
.44d = 44
d = 44/.44
d = 100 ft
Step-by-step explanation:
HELP PLEASE! WILL MARK BRAINLIST!!! MATH :(
Answer:
There is no picture but i can help you if you want. :)
Step-by-step explanation:
Answer:
what is the question
Step-by-step explanation:
The cost of printing 200 business cards is $23. The cost of printing 500 business cards is $35. What linear equation that could be used to solve this problem?
3. PQR is an isosceles triangle with PQ = PR, and angle QPR = x".
P
Angle PQR = (2x + 30)
Diagram not drawn to scale
PR = (2x + 3) cm
QR = (r + 3) cm
1(2r+3)
H
+
(2x +30)
R
(r+3)
(a) Find an expression for the perimeter of the triangle in terms of r, giving
your answer in its simplest form.
(b) Work out the value of r, if the perimeter is 49 cm.
Answer:
a). Perimeter = (5r + 9) cm
b). r = 8
Step-by-step explanation:
Property of isosceles triangle:
- Two sides of an isosceles triangle are equal.
- Opposite sides of the equal angles are equal in measure.
From the figure attached,
PQ = QR = (2r + 3)
a). Since perimeter of a polygon = sum of all sides of the polygon
= PQ + QR + PR
= (2r + 3) + (2r + 3) + (r + 3)
= 5r + 9
Perimeter of the given triangle = (5r + 9) cm
b). Perimeter of the given triangle = 49 cm
(5r + 9) = 49
5r = 40
r = 8
cam sone ine please help me ASAP
Answer:
x = 63°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ DAB is an exterior angle of the triangle, thus
x + 65 = 128 ( subtract 65 from both sides )
x = 63
Answer:m
Step-by-step explanation:m
Find the value of x and y
Answer: x=16, y=10
Step-by-step explanation:
To find the value of x and y, we need to know the angle properties. We know that 8x-14 and 5x+34 are equal to each other because of Alternate Exterior Angles. Now, we also know that 8x-14 and 5y+16 are supplementary angles, meaning they are equal to 180°. To solve, let's first find the value of x.
8x-14=5x+34 [subtract both sides by 5x]
3x-14=34 [add both sides by 14]
3x=48 [divide both sides by 3]
x=16
Now that we know x=16, we can find the value of y.
8x-14+5y+16=180 [plug in x=16]
8(16)-14+5y+16=180 [multiply]
128-14+5y+16=180 [combine like terms]
130+5y=180 [subtract both sides by 130]
5y=50 [divide both sides by 5]
y=10
Now, we know that x=16 and y=10.
Jack is getting balloons for his uncle's birthday party. He wants each balloon string to be 6 feet long. At the party store, string is sold by the yard. If Jack wants to get 55 balloons, how many yards of string will he need? 1 foot = 1 3 yard
Answer:
110 yards of string
Step-by-step explanation:
Converting the feet of the string of 1 balloon to yard
1 foot = 1/3 yard
6 feet = x
x = 6 × 1/3 yard
x = 2 yard
Hence 1 balloon uses 2 yard of string
Since:
1 balloon = 2 yard of string
55 ballons = x
x = 55 × 2 yard of string
x = 110 yards of string
Hence, for 55 balloons he would need 110 yards of string.
Dixie packaging co has contracted to manufacture a box with no top that is to be made by removing squares of width x from the corners of a 15-in by 60-in piece of cardboard.
a) Write a function for the VOLUME of the box as a function of x.
b) Determine x so that the volume of the box is at least 450 cubic inches.
c) Determine x so that the volume of the box is maximum.
Answer:
a) V(x) = x ( 60 -2x )( 15-2x )
b) 0.55 inches ≤ x ≤ 6.79 inches
c) x ≥ 6.79 inches
Step-by-step explanation:
Given data:
No top, cardboard dimensions ; 15-in by 60-in
a) A function for the volume of the box as a function of x the Volume can be represented by this function below
= V(x) = x ( 60 -2x )( 15-2x )
where : x = height , ( 60 - 2x ) = length , ( 15 -2x ) = width
b) determine x so that the volume of the box ≥ 450 inches
450 = x( 60 - 2x ) ( 15 -2x ) ( solving the equation )
0.55 inches ≤ x ≤ 6.79 inches
c ) The value of x for which volume of the box is maximum
will be x ≥ 6.79 inches
The volume of the box as a function of x V(x) = x ( 60 -2x )( 15-2x )
The volume of the box as a function of x inches 0.55 inches ≤ x ≤ 6.79
The volume of the box is maximum x ≥ 6.79 inches
Given ,
The box with no top that is to be made by removing squares of width x
The corners of a 15-in by 60-in piece of cardboard.
Volume can be represented by this function belowV(x) = x ( 60 -2x )( 15-2x )
Where : x = height , ( 60 - 2x ) = length , ( 15 -2x ) = width
The volume of the box as a function of x is V(x) = x ( 60 -2x )( 15-2x )
To determine x so that,The volume of the box ≥ 450 inches
V(x) = x ( 60 -2x )( 15-2x )
The volume of the box is at least 450 cubic inches.0.55 inches ≤ x ≤ 6.79 inches
The value of x for which volume of the box is maximum will be x ≥ 6.79 inches.For more information about Volume of the square click the link given below
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There are 5 students in a class that take the bus, and there are 20 total students in the class. What percentage of students take the bus?
Answer:
25%
Step-by-step explanation:
5/20=1/4=25%
What is 17%of 40? Pls help
Answer:
6.8
Step-by-step explanation:
Answer:
6.8
Step-by-step explanation:
40 / 100 = 0.4
0.4 · 17 = 6.8
Consider the function f(x) = 9X. Which statement MUST be true?
Α)
f(4), f(8)
f(1) f(5)
B)
f(4)-f(1) = f(8) f(5)
C)
f(4) - f(1) = f(8) - f(5)
ng
20
cols
D)
f(4) - f(1) = f(-4) - f(-1)
Consider the arithmetic sequence: 6, 2, -2, -6, \dots6,2,−2,−6,…6, comma, 2, comma, minus, 2, comma, minus, 6, comma, dots If nnn is an integer, which of these functions generate the sequence? Choose all answers that apply: Choose all answers that apply:
Answer:
[tex]a_n=-4n+10[/tex]
Step-by-step explanation:
Let us consider the given terms one by one:
First term, [tex]a[/tex] = 6
Second term, [tex]a_2=2[/tex]
Difference between First and Second term = 2 - 6 = -4
Third term, [tex]a_3[/tex] = -2
Difference between Second and Third term = -2 - 2 = -4
Fourth term, [tex]a_4[/tex] = -6
Difference between Second and Third term = -6 -(-2) = -4
Therefore, the common difference is:
[tex]d[/tex] = -4
Let the use the formula for [tex]n^{th}[/tex] term of an arithmetic sequence:
[tex]a_n=a+(n-1)d[/tex]
Putting the values of [tex]a[/tex] and [tex]d[/tex]:
[tex]a_n=6+(n-1)(-4)\\\Rightarrow a_n=6-4n+4\\\Rightarrow a_n=-4n+10[/tex]
Therefore, the [tex]n^{th}[/tex] term is:
[tex]a_n=-4n+10[/tex]
The function that generates the sequence 6, 2, -2, -6, ... is: f(n) = 6 - 4(n - 1)
To generate the arithmetic sequence 6, 2, -2, -6, ... , use the general formula for an arithmetic sequence:
an = a1 + (n - 1)d
A) f(n) = 6 - 4n
If we substitute n = 1, we get f(1) = 6 - 4(1) = 2, which matches the second term of the sequence.
However, it doesn't generate the rest of the sequence, so it is not correct.
B) f(n) = 6 - 4(n - 1)
If we substitute n = 1, we get f(1) = 6 - 4(0) = 6, which matches the first term of the sequence.
By substituting other values of n, we can verify that this function generates the entire sequence. It is correct.
C) f(n) = 6 + 4(n - 1)
If we substitute n = 1, we get f(1) = 6 + 4(0) = 6, which matches the first term of the sequence.
However, it doesn't generate the rest of the sequence, so it is not correct.
D) f(n) = 6 - 2n
If we substitute n = 1, we get f(1) = 6 - 2(1) = 4, which does not match the first term of the sequence. It is not correct.
Based on the analysis above, the function that generates the sequence 6, 2, -2, -6, ... is: f(n) = 6 - 4(n - 1)
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The missing options are:
A) f(n) = 6 - 4n
B) f(n) = 6 - 4(n - 1)
C) f(n) = 6 + 4(n - 1)
D) f(n) = 6 - 2n
2. A bag of trail mix weighs 2 pounds. By weight, 18% of the mix is oats. (a) Use the 10 by 10 grid to represent 2 lb of trail mix. Determine how much weight each square represents and label all the squares. Then, shade in 18% of the grid. (b) What is the weight of the oats in the trail mix? Show your work and label your answer. Answer:
Answer:
Weight of EACH square = 0.2 pounds
18% oat = 0.36 pounds
Step-by-step explanation:
Given that:
Weight of bag = 2 lb
Percentage of oat in mix = 18%
% of the mix is oats. (a) Use the 10 by 10 grid to represent 2 lb of trail mix. Determine how much weight each square represents and label all the squares. Then, shade in 18% of the grid. (b) What is the weight of the oats in the trail mix? Show your work and label your answer. Answer:
If trail mix is represented by 10 by 10 square grid ;
Each square represents : 2 pounds / 10 = 0.2 pounds
18% of the total weight
0.18 * 2 = 0.36 pounds