Final answer:
To find out by what percent the new frame is bigger than the original, the percentage increase is calculated as 8.33%. This is done by comparing the change in the total outer dimension of the framed painting after enlargement with the width of the frame unchanged.
Explanation:
If the original side length of the square painting is 's', the width of the frame is 10% of this length, so w = 0.10s. Now, if the painting was enlarged by 10%, the new side length of the painting is 1.10s. The width of the frame remains unchanged, so we only need to consider the change in the total outer dimension of the framed painting.
To find out by what percent the new frame is bigger than the original frame, we compare the change in the outer dimension of the frame to the original dimension. The total outer dimension of the original framed painting is s + 2w, while the total outer dimension of the enlarged framed painting is 1.10s + 2w.
Original frame outer dimension = s + 2(0.10s) = s + 0.20s = 1.20s
Enlarged frame outer dimension = 1.10s + 2(0.10s) = 1.10s + 0.20s = 1.30s
Percentage increase = ((1.30s - 1.20s) / 1.20s) × 100% = (0.10s / 1.20s) × 100% = 8.33%
Therefore, the new frame is 8.33% larger than the original frame.
Please help out with this if you can.
Answer:
3/7 and 4/17
Step-by-step explanation:
a) given that Shen is playing a game and the probability of unlocking the treasure test is 3/10.
To find the odds in favour of his character unlocking the treasure chest.
Since probability = 3/10 we have favourable and total are in the ratio 3:10
i.e. favourable:Favourable+unfavourable= 3:3+7
Hene odds= favourable:unfavourable =3/7
Answer is 3/7
b) Given that odds against choosing a blue block are 13/4
This means there are 4 blue blocks and 13 other colour blocks.
Total blocks= 13+4 =17
No of blue blocks = 4
Probability of selecting blue block=4/17
1. Which percent is indicated by the shaded area of the grid below?
A. 40%
B. 41%
C. 49%
D. 59%
2. Write 15% as a decimal.
A. 1.5
B. 0.15
C. 0.015
D. 0.0015
Write 5.6 as a percent.
A. 56%
B. 5.6%
C. 560%
D. 0.56%
Answer: 1) A. 41% (2)B. 0.15
(3) C. 560%
Step-by-step explanation:
In question 1, all you need to do is to count the number of shaded box, and tho total boxes are 100, so number of shaded box/100
=41/100 = 41%
In question (2)
15/100,whenever you shift a decimal to the left hand side the zero will go away, so shiftingit twice to the left handside,the two zeros will go away, so you will have 0.15
In question3
5.6 to percentage,
Simply multiply by 100/100
5.6 ×100/100 = 560/100 =560%
April
has 3 pounds of trail mix she puts equal amounts in each of 8 bags how mush trail mix is in each bag
To solve this, simply divide 8 into 3
8/3=2 2/3
Each person gets 2 2/3 pounds of trail mix.
Answer: 3/8 or 0.375 trail mix is in each bag.
Step-by-step explanation: April has 3 pounds of trail mix. If there are 8 bags, we can divide 3 by 8 to give us how much trail mix is in each bag.
A circle has a circumference of 28.26 units. What is the diameter of the circle?
Answer:
The diameter of the circle is 9.
Step-by-step explanation:
Because circumference is equal to [tex]\pi[/tex] * d, we can backtrack and use this equation to find diameter. Let's say [tex]\pi[/tex] is equal to 3.14.
28.26 = 3.14d
Divide both sides by 3.14.
9 = d
The diameter of the circle is 9.
To find the diameter of a circle with a circumference of 28.26 units, the formula D = C / π is used, yielding a diameter of approximately 9 units.
Explanation:The student's question pertains to finding the diameter of a circle when the circumference is given. The circumference (C) of a circle is related to the diameter (D) by the formula C = πD, where π (pi) is approximately 3.14159. Given that the circumference of the circle is 28.26 units, we can solve for the diameter by rearranging the formula to D = C / π.
Substituting the given circumference into the formula gives us:
D = 28.26 units / 3.14159
When we do this calculation, we find that the diameter is approximately 9 units. Therefore, the diameter of the circle is approximately 9 units.
On a piece of paper, graph this system of inequalities. then determine which answer choice matches the graph you drew and identify the number of solutions.
y>3x+9
Y<3x-1
Answer:
(0) no solutions.
Step-by-step explanation:
You are given two inequalities:
[tex]y>3x+9,\\ \\y<3x-1.[/tex]
The signs of both inequalities are > and < (without notion "or equal to"), then the boundary lines should be dotted lines. Each of these dotted lines divides the coordinate plane into two parts. You have to determine which of these parts you have to choose.
Substitute the coordinates of the origin (0,0) into these inequalities:
[tex]0>3\cdot 0+9\Rightarrow 0>9,\\ \\0<3\cdot 0-1\Rightarrow 0<-1.[/tex]
Both results are false inequalities, this means that origin doesn't belong to the shaded region. So you have to choose those parts, that do not contain origin (see attached diagram).
As you can see, shaded regions do not intersect (because lines y=3x+9 and y=3x-1 are parallel), so the system has no solutions.
Answer:
no solution
Step-by-step explanation:
Write a linear function for the line represented by the point-slope equation y - 4 = 3 (x - 4)
MUST SHOW WORK TO GET CREDIT. PLEASE HAVE LEGIT AND IN DETAIL ANSWERS.
Answer:
Y = 3 X + (-8)
Step-by-step explanation:
The given equation is in the slope intercept form
Equation is
Y - 4 = 3 (X - 4)
In a linear function → it takes number X as a input and gives mX + b as output.
m and b are constant.
mX → it is called scaling by factor m.
+b → it is called a shift by an amount b.
Then we can say that linear function looks like this
f(X) = mX + b
Let Y = f(X)
Hence,
Y = mX + b
From the given equation
Y - 4 = 3 (X - 4)
Y - 4 = 3 X - 12
Y = 3 X + (-8) (m = 3 , b = - 8)
It is the linear form of the given equation
Help with this please
Answer: The question is saying to write an equation in slope form: y=mx+b
M=1/4 and b=-3/4
It is the first answer: y=1/4x-3/4
he table shows the number of calories in different numbers of apples. Number of Apples 3 5 8 Number of Calories 195 325 520 How many calories are in 9 apples? Enter your answer in the box.
Answer:
The answer is 585
Step-by-step explanation:
I took the k12 test the answer above is correct
Which is the following sum in simplest form? sqrt 8+ 3 sqrt2 +sqrt 32
Answer:
Exact Form:
9√2
Decimal Form:
12.72792206
Step-by-step explanation:
Simplify expression
Answer:
[tex]9\sqrt{2}[/tex]
Step-by-step explanation:
sqrt 8+ 3 sqrt2 +sqrt 32
[tex]\sqrt{8} +3\sqrt{2} +\sqrt{32}[/tex]
Simplify each square root
[tex]\sqrt{8}=\sqrt{2*2*2}=2\sqrt{2}[/tex]
[tex]\sqrt{32}=\sqrt{4*4*2}=4\sqrt{2}[/tex]
Given expression becomes
[tex]2\sqrt{2} +3\sqrt{2} +4\sqrt{2}[/tex]
All are like terms so we add it
[tex]9\sqrt{2}[/tex]
PLZ HELP I DONT UNDERSTAND
Answer: 90%
Step-by-step explanation:
Step 1: You would get the greater value (50) and the lower value (26). You would subtract those numbers.
Step 2: You would get 24 when you subtract those numbers. Divide that number by 26.
Step 3: This is optional. You can simply those numbers to make it easier to divide.
Step 4: Divide
Step 5: You would get 0.9230769
Step 6: Move the decimal point 2 times to the right. So you would get 92%
Janet’s gross pay is $750, from which $31is deducted for OASDI, $10 for Medicare, and $14 for income tax. What is her net pay?
Answer:
Net pay = $695
Step-by-step explanation:
To find her net pay, we take the gross pay and minus the deductions
Net pay = 750 - 31 - 10 - 14
Net pay = 695
What is the value of x?
Answer:
They are all 180 degrees
70+30=100
180-100=
Ans:80 Degrees
Step-by-step explanation:
The value of a car decreases about 7% percent each year after it is manufactured.The 2017 Honda Civic costs $19,540
Answer: a) , where 'A' is the value of car after 't' years.
b) $12446.784
Step-by-step explanation:
Given: A new car that sells for $21,000 depreciates (decreases in value) 16% each year.
Then a function that models the value of the car will be
, where 'P' is the selling price of car, 'r' is the rate of depreciation in decimal, 't' is the time in years and 'A' is the value of car after 't' years.
Thus after substituting given value, the function becomes
To find the value after 3 years, substitute t=3 in the above function.
Hence the value of car after 3 years=$12446.784
The value of a car such as the 2017 Honda Civic decreases approximately 7% per year after manufacture. This is an example of exponential decay. After the first year, the car's value would be close to $18,172.
Explanation:The value of a car declining annually after its manufacture is an example of exponential decay in mathematics. In the case of the 2017 Honda Civic costing $19,540, the value decreases by approximately 7% each year. To calculate this, we can use the formula for exponential decay which is A = P(1 - r), where A is the final amount, P is the initial amount (price of the car), r is the rate of decrease (in decimal form), and n is the number of time periods (years in this case).
Now, if you want the value of the car after its first year, replace P with $19,540, r with 0.07, and n with 1. When calculating this, you should get a value close to $18,172, which is the approximate value of the car one year after it was manufactured.
Learn more about Exponential decay here:https://brainly.com/question/2193799
#SPJ12
A convenience store sells two brands of orange juice. Brand A contains 8 fluid ounces and costs $1.28. Brand B contains 12 fluid ounces and costs $1.68. What is the difference in cost, in dollars, per fluid ounce between the two brands of juice?
Answer:
$.02 per ounce
Step-by-step explanation:
To find the cost per ounce, we take the cost and divide by the ounces
Brand A
$1.28 / 8
$.16 per ounce
Brand B
$1.68/12
$.14 per ounce
To find the difference, we subtract the smaller from the larger
$.16 -$.14
$.02 per ounce
Answer:
oof
Step-by-step explanation:
how would i graph y=-x-6
Answer:
Step-by-step explanation:
-6 is your (y) while -x is your (x), for -x turn that to (-1/1) which is down 1 and right 1. That's your answer
The complement of an angle is 35 degrees what is the measure of the angle?
A. 35 degrees
B. 70 degrees
C. 45 degrees
D. 55 degrees
Complementary angles add up to 90 degrees.
The complement angle to 35 is:
90 - 35 = 55 degrees.
The answer is D.
can i get help for b please? URGENT
Answer:
195 cm
Step-by-step explanation:
Total the number of players and their total heigh
number of players = 2 + 6 + 3 + 1 + 1 = 13
total height = (2 × 200) + (6 × 201) + (3 × 202) + 203 + 204
= 400 + 1206 + 606 + 203 + 204 = 2619 cm
let x be the height of the new player, then
[tex]\frac{2619+x}{14}[/tex] = 201 ( multiply both sides by 14 )
2619 + x = 14 × 201 = 2814 ( subtract 2619 from both sides )
x = 2814 - 2619 = 195
height of new player is 195 cm
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
Graph 2.
Step-by-step explanation:
When you replace x with x - h, the functions shifts horizontally h units.
Here you are replacing x with x + 4. To write x + 4 in the x - h form, you must write x - (-4) making h = -4. f(x + 4) has a shift of -4 units, or 4 units to the left, compared to f(x).
The function f(x) = x^3 included point (0, 0). It goes up to the right of (0, 0), and down tot eh left of (0, 0).
The answer is graph 2. which shows a shift of 4 units to the left compared with the graph of f(x) = x^3.
#20 please help me with this Austin’s and an explanation please
Answer:
10 2/15 hours
Step-by-step explanation:
If we have a candle that is 11 2/5 inches tall
It burns 1 1/8 inches per hour. We need to divide to see how long the candle will last
11 2/5 ÷ 1 1/8
I will convert the mixed numbers to improper fractions
11 2/5 = (5*11+2)/5 = 57/5
1 1/8 = (8*1+1)/8 = 9/8
57/5 ÷ 9/8
Copy dot flip
57/5 * 8/9
456/45
Now we change it back to a mixed number
45 goes into 456 10 times with 6 left over
10 6/45
This simplifies to 10 2/15
simplify the expression. (3x/y)^-3
a. 27x^3 y^3
b. 27/x^3y^3
c. y^3/27x^3
d. 27x^3/y^3
Answer:
y^3/(27 x^3)
Step-by-step explanation:
Simplify the following:
((3 x)/y)^(-3)
((3 x)/y)^(-3) = (y/(3 x))^3:
(y/(3 x))^3
Multiply each exponent in y/(3 x) by 3:
(y^3)/((3 x)^3)
Multiply each exponent in 3 x by 3:
y^3/(3^3 x^3)
3^3 = 3×3^2:
y^3/(3×3^2 x^3)
3^2 = 9:
y^3/(3×9 x^3)
3×9 = 27:
Answer: y^3/(27 x^3)
Solve the inequality.
x/8>4 ??
Answer:
x > 32
Step-by-step explanation:
x/8 > 4 Multiply both sides by 8
x > 32
6.19 round to whole number
Answer:
6 is the closest whole number
Step-by-step explanation:
Answer: 6
Step-by-step explanation: If the first digit in 6.19 is less than 5 then we simply remove the decimal after the whole number (0.19 in this case) to get the answer. If the first digit in 6.19 is 5 or above, then we add 1 to the whole number (6 in this case) and remove the decimal after the whole number (0.19 in this case) to get the answer.
I hope that helped! Good luck, fam! :D
- Une
Ms. Hussain told her class that some dilations make figures bigger, some make figures smaller, and some make figures stay the same size.
Select two of the scale factors that support Ms. Hussain's claim that some dilations make figures smaller.
Answer:
To make the figures smaller, scale factor must be divided.
Step-by-step explanation:
1) Firstly, consider a pentagon ABCDE, if we take the scale factor 1\3, the dilations will be smaller.
As distance between A and B = 6
after dilation, distance between A' and B' = 2
Similarly continuing for each side, we get the figure smaller A'B'C'D'E' which is smaller than the original figure.
2) Secondly, consider a hexagon ABCDEF, if we take scale factor 1\2, the dilated figure will be smaller.
A s distance between A and B = 4
After dilations, distance between A' and B' = 2
Similarly continuing for each side, we get the figure A'B'C'D'E'F' which is smaller than the original figure.
Final answer:
Two scale factors that make figures smaller, according to Ms. Hussain's claim, are 2 inches to 8 feet (1/48) and 6 inches to 48 feet (1/96), as they are both less than one and would result in smaller dilated figures.
Explanation:
To support Ms. Hussain's claim that some dilations make figures smaller, we look for scale factors that are less than one because these scale factors reduce the size of the original figure. When reviewing the scale factors presented:
2 inches/8 feet13 inches/12 feet6 inches/24 feet11 inches/33 feet16 inches/32 feet18 inches/36 feet6 inches/48 feet6 inches/12 feetThe scale factors that make the figures smaller are 2 inches to 8 feet (which simplifies to 1/48) and 6 inches to 48 feet (which simplifies to 1/96), since both are less than 1. The original figures are 48 times and 96 times larger than their dilated figures, respectively. Both of these would result in a decrease in size when the original figures are dilated using these factors.
suppose that many large samples were taken from population A, which is normally distributed, and population c, which is not normally distributed. The means of the samples of which of the following populations would approximate a normal distribution?
a. both population a and population c
b. neither
c. population c
d. population a
Answer:
Both populations -Apex
Step-by-step explanation:
Ye has his own business. He checks his sales receipts three times a day, his afternoon sales were 50$ more than his mourning sales, and his evening sales were three times his afternoon sales. if his total sales for the day were $1,000, what were his evening sales?
Answer:
The answer is 150
Step-by-step explanation:
It's 150 because ye evening sales are three times of his afternoon sales.
SO that means you have to times 50x3=150 or you can add 50+50+50=150. there is your answer.
Answer:
150
the answer is 150 need points for a challenge
(I NEED HELP PLEADE) I will give brainliest
Answer:
C is the correct answer.
5 times larger than the sum 2 and 8
Answer:
50
Step-by-step explanation:
The sum of 2 and 8 is 10. 10 times 5 is 50
Answer:
50
Step-by-step explanation:
10 times 5 is 50
A diagonal shortcut across a rectangular lot is a 100 feet the lot is 60 feet wide what is the length of the lot
A. 40 feet
B. 60 feet
C.80 feet
D.90 feet
Da answer should be A. 40 feet hope it's da right answer
Find the x-intercept and y-intercept of -x+2y=8
y-intercept: (0,4)
x-intercept: (8,0)
Y-intercept:
I made x=0
[tex]0+2y=8\\[/tex]
divide by 2 on both sides
[tex]y=4[/tex]
x-intercept
I made y=0
[tex]x+2(0)=8\\x=8[/tex]
If x is a rational number and y is the opposite of x, why do x and y have the same absolute value
Answer:
Absolute value is the distance away from zero, so if x is a rational number and y is opposite, they would both be the same distance away from zero, regardless of their sign.
Step-by-step explanation:
Absolute value is the distance of a number away from zero. For example, if x is equal to the rational number -2, the absolute value of -2 is just 2, given that both 2 and -2 are only a distance of 2 away from the number zero. Think of it as your walk or drive to school. If you live 4 miles from school, you drive a distance of 4 miles there and 4 miles back. That distance is not calculated as a positive 4 miles there and a negative 4 miles back, but rather just 4 miles there and 4 miles back, for a total distance of 8 miles. So, if x=4 and y=(-4), the absolute value of both would be 4.