Answer:
[tex]\sf y=\dfrac{54}{6.75}[/tex] or [tex]\sf y=54 \div 6.75[/tex]
(where y is the number of bags made)
Step-by-step explanation:
If Rowan bought a 54 oz bag of jelly beans and divided them into bags that each contained 6.75 oz, to find how many bags were made, divide the total weight of jelly beans by the weight of each bag.
⇒ Number of bags = Total weight ÷ bag weight
= 54 ÷ 6.75
= 8
Therefore, Rowen made 8 bags.
Total weight of jelly beans initially
54ozEach bag contains
6.75ozSo the equation should be
Bags=54/6.75Or
B=54/6.75If we solve we get total bags as 8
[tex]\begin{aligned} &\text { 55. At which term does the sequence }\\ &\{10,12,14.4,17.28, \ldots\} \text { exceed } 100 ? \end{aligned}[/tex]
Answer:
14th term
Step-by-step explanation:
12÷10 = 1.2
14.4÷12 = 1.2
17.28÷14.4 = 1.2
Then it’s a geometric sequence of first term ‘V₀=10’ and common ration ‘q = 1.2’
We call it (Vn)
The general term of the sequence:
Vn = V₀×qⁿ⁻¹ = 10×(1.2)ⁿ⁻¹
To determine the term at which the sequence exceeds 100 we have to solve the equation:
Vn ≥ 100
⇔ 10×(1.2)ⁿ⁻¹ ≥ 100
⇔ (1.2)ⁿ⁻¹ ≥ 100/10
⇔ (1.2)ⁿ⁻¹ ≥ 10
⇔ ln(1.2)ⁿ⁻¹ ≥ ln(10)
⇔ (n-1)×ln(1.2) ≥ ln(10)
[tex]\Longleftrightarrow n-1\geq\frac{ln10}{ln1.2}[/tex]
[tex]\Longleftrightarrow n-1\geq12.6\\\Longleftrightarrow n\geq13.6\\\Longrightarrow n=14[/tex]
Verification:
[tex]V_{14}=10\times \left( 1.2\right)^{14-1} =106.993205379072[/tex]
In which number does the digit 2 have a value that is ten times as great as the value of the digit 2 in the number 135,284? A 29,831
B 42,938
C 298,893
D 326,894
Answer:
it's option B 42,938
Step-by-step explanation:
in the question the value of 2 in 135,284 is 200
200× 10 =2000
therefore the number with 2 in thousands place is option B 42,938
Five different numbers are such that, 2 are odd, the median is 7, the mean is 8 and all numbers are less than 13. What are the five numbers?
A triangle has sides with lengths of 20 yards, 48 yards, and 52 yards. Is it a right triangle?
yes
no
Yes
Step-by-step explanation:
Because the sides of this triangle follow the Pythagorean Theorem.
i.e.
[tex]52^{2} = {20}^{2} + {48}^{2} [/tex]
[tex]\boxed{\textbf{Therefore it IS a right triangle}} [/tex]
The prism shown represents a storage bin for a barn. The dark face will be open to allow people to place items inside.
A net of a triangular prism. Face A is shaded.
Which face of the net represents the open face of the prism?
A
B
C
D
Answer:
its A
Step-by-step explanation:
7th grade math!!!!!! HELP!
Morgan begins to use synthetic division to divide x4 + x3 − 6x2 − 4x + 8 by x − 2, as shown below. Which of the following shows the correct values to replace the question marks, and also gives the quotient?
A. 2, 6, 0, −8; x^3 − 3x^2 + 4
B. 2, 6, 0, −8; x^3 + 3x^2 − 4
C. 1, 3, 0, −4; x^2 + 3x − 4
D. 1, 1, −6, −4; x^3 + 3x^2 − 4
The correct values to replace will be 2, 6, 0, and − 8 and the quotient is x³ + 3x² − 4. Then the correct option is B.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
P(x) = x⁴ + x³ − 6x² − 4x + 8
P(x) = 1x⁴ + 1x³ − 6x² − 4x + 8
By the synthetic division, we have
2 ║ 1 1 − 6 − 4 8
2 6 0 − 8
1 3 0 − 4 0
x³ 3x² − 4
By the synthetic division, the correct values to replace will be 2, 6, 0, and − 8 and the quotient is x³ + 3x² − 4. Then the correct option is B.
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What value for c completes the square for the quadratic x2 + 12x + c?
The value for c is 36 which completes the square for the quadratic x² + 12x + c.
What is a quadratic equation?The polynomial having a degree of 2 is termed as the quadratic equation.It means that the equation will have the maximum power of 2.
Here we have the equation
=x²+12x+c
=x^2+12x+36
=x^2+6x+6x+36
=x(x+6)+6(x+6)
=(x+6)(x+6
=(x+6)²
hence value for c is 36 which completes the square for the quadratic x² + 12x + c.
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1. Emilio earns $150 per week plus 38% commission. He sells $2 000.00 in one week. What are his gross weekly earnings?
Answer:
more than what i have
Step-by-step explanation:
somebody please help me on this.
Korey is planning to open a comic book store. when the store opens, he plans to be the only employee. as the business grows, he will extend his hours of operations and hire additional employees as necessary. in korey’s business plan, this information should be included in the _____ component. a. financial analysis b. organizational plan c. executive summary d. implementation plan please select the best answer from the choices provided a b c d
The information about the how to open a comic book store should be included in the b. organizational plan.
What is organizational plan?An organizational plan serves as a way that can be used to plan for the future events to achieve the desire goals of the institution.
Therefore, option B is correct, because with the organizational plan, Korey can note all information required for the business and how the business will grow.
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subtract the sum of t and r from s
Answer:
s-(t+r)
Step-by-step explanation:
Please Help its a math problem !! see image attached below for more info
Answer:
g(x) = 2ˣ⁻¹ + 3
Step-by-step explanation:
f(x) = 2ˣ
Translated 1 unit right
Represented by (x - 1)f(x - 1) = 2ˣ⁻¹Translated 3 units up
Represented by adding 3g(x) = 2ˣ⁻¹ + 3Answer:
Well if its a translation on the x-axis the formula would be g(x) = -2×
Although Functions are not my strong suit
I hope i got this right!
Work out the surface area of this cylinder
Diameter is 12 cm
Height is 25 cm
Answer:
The surface area of this cylinder is 1168.67
Step-by-step explanation:
To find the surface area of a cylander use this formula
A = 2π[tex]\frac{d}{2}[/tex]h+2π([tex]\frac{d}{2}[/tex])²Plug in
A = 2 × π × [tex]\frac{12}{2}[/tex] × 25 + 2 × π × [tex]\frac{12}{2}[/tex]²Answer is 1168.67
PLEASE HELP ASAP
If (x + 3)2 = 42, what is the approximate positive value of x?
A) 0.48
B) 3.48
C) 5.48
D) 6.48
An expression is defined as a set of numbers, variables, and mathematical operations. The value of x is 3.48.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The solution of the expression (x+3)²=41 can be found as shown below,
(x+3)²=42
(x+3)=√42
x+3=6.48
x = 3.48
Hence, the value of x is 3.48.
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PLEASE I NEED YOUR HELP ASAP!!!!!
Answer:
7/2 ≤ x < 4
Step-by-step explanation:
When an increasing function is applied to both sides of an inequality, their order does not change. We can solve the given inequality as though the square root symbol were not present.
__
Inequality solution5 -x > 2x -7
12 > 3x . . . . . add x+7
4 > x
domain restrictionsThe domain of f(x) requires that its argument be non-negative.
5 -x ≥ 0 ⇒ x ≤ 5
2x -7 ≥ 0 ⇒ x ≥ 7/2
full solutionTogether with the domain restriction on f(x), the solution to the inequality is ...
7/2 ≤ x < 4
Hi pls how do I find the volume of a short cylinder
Answer:
You find the volume of a cylinder with the formula of π × r² × h
24. Use the intercepts to graph the equation.
Answer:
See below ~
Step-by-step explanation:
Finding x-intercept
Take y = 02x - 5(0) = 102x = 10x = 5x-intercept is at (5, 0)Finding y-intercept
Take x = 02(0) - 5y = 10-5y = 10y = -2y-intercept is at (0, -2)Graph (with points marked)
Step-by-step explanation:
[tex]2x - 5y = 10 \\ 2x = 10 - 5y \\ x = \frac{10 - 5y}{2} [/tex]
when y=0,-2,2,-4,4
then x=5,10,0,15,-5,
Which label on the cone below represents the diameter? a cone, a is the radius, b is the height, c is the center of the base, and d is the vertex. a b c d
The label on the cone that represents the diameter of the cone is the letter C
How to determine the correct label?From the figure in the complete question, the line C divides the base circle into two equal segments
The above is the same as the definition of the diameter
Hence, the label that represents the diameter of the cone is the letter C
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Answer:
C is the correct Answer
Step-by-step explanation:
Fill in the missing number. 50% of ????= 13
Justus has a flexible container that holds 200 milliliters of alr at a temperature of 300 kelvins and a pressure of 100 kilopascals. Justus wants to
decrease the volume of the alr inside the container to 100 milliliters.
He can do this either by changing the temperature to
kelvins or by changing the pressure to
kilopascals.
Answer:
See below ~
Step-by-step explanation:
Based on the Ideal Gas Equation,
V ∝ TV ∝ 1/PUsing T :
V₁/T₁ = V₂/T₂200/300 = 100/T₂T₂ = 100/200 x 300T₂ = 0.5 x 300T₂ = 150 KUsing P :
P₁V₁ = P₂V₂100 x 200 = P₂ x 100P₂ = 200 kPaHe can do this either by changing the temperature to 150 kelvins or by changing the pressure to 200 kilopascals.
in 2010 there were 3200 tigers in the wild in 2016 there were 3890 tigers what is the percentage increase. Give ur answer to the nearest whole number
A percentage is a way to describe a part of a whole. The percentage increase in the number of tigers is 21.56%.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
The percentage change is given by the formula,
Percentage change = |(Intial Value - Final value)|/Initial Value × 100%
Percentage Change = |3200-3890|/3200 × 100% = 21.56%
Hence, the percentage increase in the number of tigers is 21.56%.
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What is the surface area of the
triangular prism shown?
Answer:
1120^2
Step-by-step explanation:
25x17=425
425+(8x25)=625
625+(8x15)=745
745+(15x25)=1120
What is an estimate for the square root of 150? (Do not find the exact value) Show work
Answer:
Somewhere between 12 and 13, perhaps 12.25
Step-by-step explanation:
This is a (rather) simple explanation:
Look for 2 square numbers that are either side of 150
In this case, it is 144 and 169
The square root of 144 is 12 and the square root of 169 is 13
Therefore we can estimate that the square root of 150 is somewhere between 12 and 13.
As 150 is a lot closer to 144 to 169, I would estimate around 12.25 but you do not need an exact value :)
question 1. write the product using exponents
Answer:
(- 0.9)³
Step-by-step explanation:
(- 0.9) × (- 0.9) × (- 0.9)
= (- 0.9)³
How do I find out the median of this set of numbers?
138, 119, 182, 174, 142, 117, 152, 152
Each alice is 1/10 of an orange if he brings 12 whole oranges how many sloces are there ?
Answer:
there are 120 slices of orange.
Step-by-step explanation:
The reason for this is because if theres 10 slices per orange, and there is 12 oranges, you multiply 10x12 and you get 120 slices.
6•(x•9) simplified please
Answer:
6x+54 should be the answer
Step-by-step explanation:
Find the slope and y-intercept of the graph of the equation.
y = 8x +9
Answer:
Slope = 8
Y-intercept = (0, 9)
Step-by-step explanation:
Slope-intercept form of an equation :
y = mx + bm = slopeb = y-interceptTherefore, on comparing with the given equation :
Slope (m) = 9Y-intercept (b) = (0, 9)Solve using appropriate property:
3/8 × -4/5 + 7/9 × 3/8 (-3/8 × 8/10)
Answer:
Exact Form:
- 31/80
Decimal Form:
-0.3875
Step-by-step explanation:
hope this helps
sorry if wrong
Answer:
-0.3875
Step-by-step explanation:
Pa Brainless
A store pays $68 for a chest of drawers and markers the price up by 50% what is the amount of the mark up
Answer:
$102.00
Step-by-step explanation:
Simply multiply 68 by 50 percent
68 × 50% or 68 × .5 = 34
so . .
Add 68 + 34 = 102