Answer: The scale factor is a ratio that compares the dimensions of an object to a copy of that object. To find the scale factor from the original picture to the copy, you can divide the length of the copy by the length of the original.
In this case, the length of the original picture is 8 feet and the length of the copy is 1/2 a foot.
So the scale factor is:
1/2 a foot / 8 feet = 1/16
This means that the copy is 1/16 the size of the original. This means that, for each inch or foot on the original, the same length on the copy is 1/16 of that length.
It's also common to express scale factor as a ratio or a fraction of the original, which in this case is 1/16
It's worth mentioning that you could use this same method to find the scale factor for any other dimension of the picture, such as width, height and so on.
Step-by-step explanation:
Solve the inequality - 5(x+2) < -25
x < 3
x > -3
x > 3
Answer:
x > 3
Step-by-step explanation:
Is this a perfect square trinomial X² 6x 9?
x² + 6x + 9, this is a perfect square trinomial, which is expressed as
(x + 3)².
What is trinomial?Trinomials are algebraic formulas that include three dissimilar terms, therefore the name "trinomial."
An algebraic expression called a trinomial contains three terms that are non-zero. Trinomial expression illustrations: The trinomial x + y + z has three variables: x, y, and z.
A trinomial is formed when three monomials are added together or subtracted from one another. A quadratic trinomial has the following form: ax² + bx + c, where a, b, and c are real, non-zero values.
Given that,
x² + 6x + 9
= (x)² + 2(3x) + 9
= (x)² + 2(x)(3) + 3²
This is similar to a² + 2ab + b² = (a + b)²
so, we can write:
= (x + 3)²
= (x +3) (x + 3)
so, this is a perfect square trinomial.
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it takes 4 pounds of apples to make 6 cups of apple sauce at this rate how much apple sauce can you make with 10 pounds of apples
Answer: 12 cups of applesauce
Step-by-step explanation:
What is e called in log e?
The term Euler's number (e) refers to a mathematical expression for the base of the natural logarithm. This is represented by a non-repeating number that never ends.
The first few digits of Euler's number are 2.71828.
Given log(base_12)1728,
where base = 12
1728 = x
Factor out 1728 to 12^3 to apply the logarithmic rule, log(base_b)b^n = n
This gives you:
log(base_12)(12^3) = 3
The base 12 and the value of x = 12 cancels out, leaving you with 3.
To help determine the order of operations and other aspects of logical syntax, mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping.
To find which expression is equivalent to log₅32:
Law of logarithms:
The law of logarithms states that: log(a) b = log(10)b/log(10)a
Given the log function, which is written as log₅32
a = 5
b = 32
Substitute as: log₅32 = log32/log5
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HELP 50 points :D
1. You have $25 to spend on snacks for movie night with 4 of your friends. If individual boxes of raisins are $1.50, find the amount of money that remains per person for popcorn and a drink.
2. The cost for a town’s soccer league banquet is $960. There are 60 players in the soccer league. Determine the cost per player for the town if each player pays $5 to attend the banquet.
3. To solve the equation 2/3(x−4)=−10, Izzy wants to multiply both sides of the equation by the reciprocal of the fraction. Name the reciprocal.
__/__
4. There are 2 types of tickets to attend an awards dinner—silver and gold. The gold tickets are $8 more than the silver. If Patrick bought 10 tickets at each level and spent a total of $140, find the price of each ticket.(1 point)
$___ for each silver ticket and $___ for each gold ticket
5. Kendra is making bread, but the recipe she’s using makes 4 loaves. She only wants to make one loaf. The changed recipe calls for 2 1/2 cups of flour and sugar combined. If the original recipe calls for 2 cups of sugar, find the amount of flour (in cups) in the original recipe.
1. You have $25 to spend on snacks for movie night with 4 of your friends. If individual boxes of raisins are $1.50, find the amount of money that remains per person for popcorn and a drink.
To find the amount of money that remains per person after buying raisins, we first need to find the total cost of the raisins. If 4 boxes of raisins cost $1.50 each, then 4*1.50 = $6 is spent on raisins.
To find the amount of money that remains for popcorn and drinks, we subtract the cost of the raisins from the total amount of money: 25-6 = $19.
Since there are 5 people in total (you and 4 friends), we divide the remaining money by 5 to find the amount per person: 19/5 = $3.80 per person.
How calculate the cost?2. The cost for a town’s soccer league banquet is $960. There are 60 players in the soccer league. Determine the cost per player for the town if each player pays $5 to attend the banquet.
To find the cost per player, we divide the total cost of the banquet by the number of players: 960/60 = $16 per player
3. To solve the equation 2/3(x−4)=−10, Izzy wants to multiply both sides of the equation by the reciprocal of the fraction. Name the reciprocal.
The reciprocal of the fraction 2/3 is 3/2
4. There are 2 types of tickets to attend an awards dinner—silver and gold. The gold tickets are $8 more than the silver. If Patrick bought 10 tickets at each level and spent a total of $140, find the price of each ticket.
Let's call the cost of a silver ticket x.
The cost of a gold ticket is x + 8.
We know that Patrick spent 10x + 10(x+8) = $140
We can simplify that: 10x + 10x + 80 = 140
Then we have 20x + 80 = 140
Then we have 20x = 60
And x = 3
Then the price of a silver ticket is $3 and the price of a gold ticket is $3+8 = $11
5. Kendra is making bread, but the recipe she’s using makes 4 loaves. She only wants to make one loaf. The changed recipe calls for 2 1/2 cups of flour and sugar combined. If the original recipe calls for 2 cups of sugar, find the amount of flour (in cups) in the original recipe.
If the original recipe calls for 2 cups of sugar and the changed recipe calls for 2 1/2 cups of flour and sugar combined, then the original recipe calls for 2 1/2 - 2 = 1/2 cup of flour.
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The sum of three segments measures 82 cm. The first is 4/9 of the second and the third exceeds the second by 16cm. Calculate the size of each segment.
Please help it’s for tmr
Answer:
12 cm27 cm43 cmStep-by-step explanation:
You have three segments totaling 82 cm, with the first being 4/9 of the second, and the third being 16 cm more than the second.
EquationsWe can describe the relationship by the equations ...
a + b + c = 82
a = 4/9b
c = b +16
SolutionThe equations give each segment in terms of the second one, so we can substitute those relations into the sum:
(4/9b) +b +(b +16) = 82
22/9b = 66
b = 66(9/22) = 27
a = (4/9)(27) = 12
c = 27 +16 = 43
The first segment is 12 cm; the second is 27 cm; and the third is 43 cm.
__
Additional comment
We used an ad hoc solution based on the observation that segments 'a' and 'c' were defined in terms of 'b'. We could write the equations as a system of 3 linear equations in 3 unknowns, and solve using matrix methods:
a +b +c = 829a -4b = 0-b +c = 16The solution is shown in the attachment: a=12, b=27, c=43.
A line has a slope of 2 and a y-intercept of 0. What is its equation in slope-intercept form
Answer:
y = 2x
Step-by-step explanation:
y = mx + b
m = 2
y-intercept = b = 0
y = 2x + 0
y = 2x
THIS I SUPPOSED TO BE EASY BUT I CANT GET IT GIVING BRAINLETS
Answer:
43[tex]\frac{4}{10}[/tex]Step-by-step explanation:
2/10=.2, 6.2
6.2×6=37.2
37.2+6.2= 43.4
43.4= 43[tex]\frac{4}{10}[/tex]
Which inequalities are true? Check all that apply. You
can use the tool on the right to help you.
5/6 > 4/6
3/8< 5/8
4/5 <2/5
4/7> 6/7
2/31/3
The true inequalities are:
5/6 > 4/6
3/8< 5/8
2/3 > 1/3
What is an inequality?The term "inequality" in mathematics refers to a connection between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus. The majority of the time, size comparisons between two numbers on the number line are made.
The most notable instances of social inequality include those related to health care, social class, gender inequality, and wealth disparity. Comparatively speaking, some people in the healthcare system receive better and more skilled care. For these services, they are also likely to pay more.
5/6 > 4/6
0.833 > 0.667
so, this inequality is true.
3/8 < 5/8
0.375 < 0.625
so, this inequality is true.
4/5 < 2/5
0.8 < 0.4
so, this inequality is false.
4/7 > 6/7
0.571 > 0.857
so, this inequality is false.
2/3 > 1/3
0.667 > 0.333
so, this inequality is true.
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5. An acute triangle has a base of 4 cm and a height of 8 cm. What is the area of the triangle?
32 cm²
12 cm²
16 cm²
64 cm²
Answer:
c) 16 cm²
Step-by-step explanation:
Given information,
→ Base = 4 cm
→ Height = 8 cm
Area of triangle formula,
→ Area = ½ × b × h
Now the area of triangle is,
→ ½ × b × h
→ ½ × 4 × 8
→ 2 × 8
→ 16 cm²
Hence, the area is 16 cm².
Find the surface area and round to the nearest hundredths place when necessary.
Answer:
9.4 x 11 = 103.4
15 + 7 = 22, 22 x 5 = 110, 110 divided by 2 = 55
55 x 2 (since there are two trapezoids) = 110
5 x 11 = 55
7 x 11 = 77
15 x 11 = 165
Now we add all the areas up:
103.4 + 110 + 55 + 77 + 165 = 510.4 square feet2 is your answer.
64y–24z. plz help
28 points
Answer:
Assuming 64y - 24z = 0, y= 3z/8 and z = 8y/3
Step-by-step explanation:
plugged it into a calculator.
What is a 2 step equation that equals to 14
Answer:
2x + 1 = 29
Step-by-step explanation:
There are a lot of answers.
2x + 1 = 29
2x + 1 = 29 Subtract 1 from both sides
2x = 28 Divide both sides by s
x = 14
Start off knowing that x will be 14, then multiply 14 by some number and then add or subtract some number from that and put that on the other side of the equal sign.
x = 14
14 x 2 = 28 and then add 1 to that to get 29
2x + 1 = 29
Answer: Do you want x=14 or for it to equal 14, because I have it both ways. For x=14, an acceptable two step equation would be 2x-5=23. If you want it to equal 14, then you can write 5x-1=14
Step-by-step explanation:
For x=14:
2x-5=23
Add 5 on both sides
2x=28
x=14
For the equation to equal 14:
5x-1=14
Add one on both sides
5x=15
x=3
Are the expressions equivalen? Explain why or why not.
-7(4x+2)
-28x+14
Answer:
−56
Step-by-step explanation:
Perform addition
[tex]- 14 - 38x + 14 -28x - 28x[/tex]
Working as a team, 8 mathletes solve 20 problems in 10 minutes. At this rate, how many mathletes solve 30 problems in 5 minutes
Step-by-step explanation:
the given ratio is
8 / 20/10 = 8 / 2 = 4
for x mathletes we need to keep the same ratio :
x / 30/5 = 4
x / 6 = 4
x = 4×6 = 24
24 mathletes.
14.
Write the linear inequality shown in the graph.
A. [tex]y\geq -3x+5[/tex]
B. [tex]y\geq -3x-5[/tex]
C. [tex]y\leq -3x+5[/tex]
D. [tex]y\leq -3x-5[/tex]
Answer:
B
Step-by-step explanation:
y-intercept is positive 5 so that eliminates answer choices A and C
to decide between B and D, select a point in the solution area; for example, (0, 0). Plug these values into B and D and see which one it is true for
B) 0 ≥ -3(0)-5
Is 0 ≥ -5 Yes
D) 0 ≤ -3(0)-5
Is 0 ≤ -5 No
Answer:
y ≤ –3x + 5
Step-by-step explanation:
b) Is Jerome’s brother correct? Explain why or why not, using examples from the ratio table to support your argument.
Answer:
i wish i could help im sorry
Step-by-step explanation:
im
not
ok
The weight of 4 eggs is 180g. Identify the constant of the proportionality of total weight to number of eggs.
Answer: 13.6 grams per egg.
Step-by-step explanation:
Regan has Rs.10,000 in total. He lent a part of it to Sandip and the remaining to Saline. If Saline paid Rs.2160 more interest than Regan at the end of 3 years and at the rate of 18% simple interest rate. Find how much money did Regan give to Sandip and Saline. (Assume 365 days in a year)
The Rs. 10,000 Regan lent to Sandip and Saline and the Rs.2160 more interest Saline paid than Sandip after 3 years at an 18% simple interest rate, indicates by expressing the amounts using equations, that the amount Regan gives to Sandip and Saline is Rs. 3,000 and Rs. 7,000 respectively.
What is an equation?An equation is the presentation of a statement of the equivalence between quantities, or expressions, by joining the expressions with a '=' sign.
The amount Regan has = Rs. 10,000
Let x represent the amount Regan lent to Sandip, we get;
The amount Regan lent to Saline = 10,000 - x
The interest rate of the loan Regan lent to Sandip and Saline = 18% simple interest
The interest Saline paid to Regan after 3 years, using simple interest = Rs. 2160 + The interest Saline paid to Regan
The simple interest formula is; I = P·R·T/100
Where;
P = The principal amount loaned
R = The interest rate = 18%
T = The time or duration of the loan = 3 years
Therefore;
(10000- x) × 18/100 × 3 = 2160 + x × 18/100 × 3
5400 - 0.54·x = 2160 + 0.54·x
5400 - 2160 = 0.54·x + 0.54·x = 1.08·x
3240 = 1.08·x
x = 3240 ÷ 1.08 = 3000
The amount Regan lent to Sandip, x = Rs. 3000
The amount Regan lent to Saline = 10,000 - x
x = 3000
10,000 - x = 10,000 - 3000 = 7,000 (substitution property)
The amount Regan lent to Saline = Rs. 7,000
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22. What is the value of k such that x - 6 is a factor of
f(x) = 3x³ - 17x² - kx + 18? Justify your answer.
Answer:
k = 9
Step-by-step explanation:
According to the Factor theorem, if (x - a) is a factor of f(x) then f(a) = 0
given (x - 6) is a factor of f(x) then f(6) = 0 , that is
3(6)³ - 17(6)² - 6k + 18 = 0
3(216) - 17(36) - 6k + 18 = 0
648 - 612 - 6k + 18 = 0
36 - 6k + 18 = 0
54 - 6k = 0 ( subtract 54 from both sides )
- 6k = - 54 ( divide both sides by - 6 )
k = 9
6T
5 and the radius is 2 cm? (1 point)
What is the arc length if
Answer:
Formulas for Arc Length
The formula to measure the length of the arc is –
Arc Length Formula (if θ is in degrees) s = 2 π r (θ/360°)
Arc Length Formula (if θ is in radians) s = ϴ × r
Arc Length Formula in Integral Form s= ∫ba1+(dydx)2−−−−−−−−s= ∫ba1+(dydx)2−−−−−−−−√dx
is -17 a rational number
What ordered pairs are the solutions of the system of equations shown in the graph below?
(__, __) and (__, __)
Suppose you throw a ball straight up from the ground with a velocity of 176 feet per second. As the ball moves up, gravity slows it. Eventually, the ball begins to fall back to the ground. The height h of the ball after t seconds in the air is given by the equation h=−16t2+176t. Use the given information to answer parts a through c.
a. Find the height of the ball after four seconds
Therefore, the height of the ball after four seconds is 448 feet.
Define height.Height refers to the vertical distance between something's top and bottom or its base and anything above it. Height is used to describe everything that may be measured vertically, high or low.
What is distance?Distance is a numerical or occasionally qualitative measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.
We need to plug t = 4 into the equation h = -16t^2 + 176t.
h = -16(4^2) + 176(4)
h = -16(16) + 704
h = -256 + 704
h = 448 feet.
So, 448 feet is the height after four seconds.
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What is the probability of rolling a 4 on a number cube and then flinning
1. 4/12
2. 1/3
3. 1/8
1. 1/12
Answer:
Step-by-step explanation:
so in group 1 out of 12 rolls u landed on 4 four times
in group 2 out of 3 rolls u landed on it 1 time
in group 3 u landed on it 1 time
and in group 4 (i assume) u landed on it 1 time
add the denominators
so 7/35 which simplified is 1/5
Pill bluethooth Speaker consists two semisphere and cyclinder. The diameter of the cylinder and semisphere is 2 inches. the height of the cylinder is a foot. The According to the Statement please fill in the blanks. please answer the following in inch format and round it to
The volume of Pill Bluetooth Speaker is 39.78 cubic inches.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, Pill Bluetooth Speaker consists two semi sphere and cylinder.
The diameter of the cylinder and semi sphere is 2 inches. the height of the cylinder is a foot.
Radius =2/2 1 inch
We know that, the volume of semi sphere is 2/3 πr³
= 2/3 ×3.14×1³
= 2.1 cubic inches
We know that, 1 foot =12 inches
The volume of cylinder is πr²h
= 3.14×1²×12
= 37.68 cubic inches
Total volume =37.68+2.1
= 39.78 cubic inches
Therefore, the volume of Pill Bluetooth Speaker is 39.78 cubic inches.
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"Your question is incomplete, probably the complete question/missing part is:"
Pill bluethooth Speaker consists two semisphere and cyclinder. The diameter of the cylinder and semisphere is 2 inches. the height of the cylinder is a foot. The According to the Statement please fill in the blanks. please answer the following in inch format and round it to nearest tenth.
a) Volume of the Bluetooth Speaker ______
These are the numbers and I need the ratio
to thank you!
help me please it's due tomorrow !!!!!!!!!!
help please
ill get in trouble!!!!
Answer: 1:3
Step-by-step explanation:
I'd say 1:3 but I could be wrong
A simulated game of chess is programmed between two computers. The game is supposed to be biased in favor of player B winning 4 out of 5 times. Which is the most suspicious set of outcomes of 30 games played between the two computers?AABABBBABBBBBBBBABBBABBBBBBBBAABBABBAABBBBBABBBBBBBBBBBBBABBABBABABABABBABABABABABABABABAAABBABBBABBBBBBBBABBBABBBBBBBBB
A simulation game attempts to copy various activities from real life in the form of a game for various purposes such as training, analysis, prediction, or entertainment.
How will outcome be decided?The most suspicious set of outcomes for a simulated game of chess that is supposed to be biased in favor of player B winning 4 out of 5 times would be if player B won all 30 games. This outcome would be highly unlikely if the game was truly random and the bias towards player B was accurate. Other suspicious outcomes could include player B winning 29 out of 30 games or player B winning 28 out of 30 games with a high margin of victory in each game.
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Andrew buy 8 pound of apple for $12. 0. He want to know and ue the unit rate of the cot per pound. True or Fale: Two pound of apple cot more than $3. 50
It is false that the cost of two pounds of apple cast is more than $ 3.50.
Finding the cost of a given quantity:Here to find the cost of the given quantity we need to find the cost of 1 unit i.e 1 pound in the given problem so that we can find the cost of given quantities. It is called a unitary method.
Given that
Andrew buy 8 pounds of apples for $ 12.00
Let 'x' be the cost of 1 pound of apples
By the given data,
=> 8x = $ 12
=> x = 12/8
=> x = 1.5
The cost of 1 pound of apples = $ 1.5
Cost of 2 pounds apples = 2 × 1.5 = 3
Therefore,
It is false that the cost of two pounds of apple cast is more than $ 3.50.
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what is h over 7.5 = 3.2
Answer:
h = 24
Step-by-step explanation:
h ÷ 7.5 = 3.2
Multiply both sides by 7.5
h = 3.2 × 7.5
h = 24