Answer:
300%
Step-by-step explanation:
Let the length of the carpet be L.
Let the width of the carpet be W.
The original area of the carpet is:
A = L * W = LW
The length and width are enlarged by 60%.
The new length is:
L + (L * 60/100) = L + 0.6L = 1.6L
The new width is:
W + (W * 60/100) = W + 0.6W = 1.6W
The length and width are then reduced by 25%.
The new length is:
1.6L + (1.6L * 25/100) = 1.6L + 0.4L = 2L
The new width is:
1.6W + (1.6W * 25/100) = 1.6W + 0.4W = 2W
The new area will be:
A = 2L * 2W = 4LW
To find the percentage increase in the area, we subtract the original area from the new area and divide by the original area:
4LW - LW = 3LW
% increase is:
[tex]\frac{3LW}{LW} * 100[/tex] = 300%
The area of the final item is 300% greater than the original item.
Answer:
44%
Step-by-step explanation:
;)
Pat's potato farm grew 490 pounds of potatoes. Pat delivered 3/7 of the potatoes to a vegi stand. The owner of the vigi stand delivered 2/3 of the potatoes he bought to a local grocery store, witch packaged half of the potatoes that were delivered into 5 pond bags. How many 5 pound bags did the grocery store package.
Answer:
14 bags
Step-by-step explanation:
Total potato grown on Pat's potato farm = 490 pound
Fraction of potato delivered to vegi stand = 3/7 of total potato
Therefore,
Potato delivered to Vegi stand in pound = 3/7 of Total potato grown
= 3/7 of 490 = 3/7 * 490
= 210
Thus, 210 pound potato is delivered to vegi stand
___________________________________________
Fraction of potato delivered to local grocery store = 2/3 of potato delivered to Vegi stand
Therefore,
Potato delivered to local grocery store in pound = 2/3 of potato delivered to Vegi stand
= 2/3 of 210 = 2/3 * 210
= 140
Thus, 140 pound potato is delivered to local grocery store.
____________________________________________________
Half of the potatoes delivered were packaged into 5 pound bags
Half of 140 pound potato is delivered to local grocery store will be
140/2 = 70 pounds.
Thus, 70 pounds potatoes were packed in 5 pound bags.
Let the the no of 5 pounds bag be x.
if one bag has 5 pound potatoes then
x bag will have 5*x = 5x pound potatoes,
but it is given that 70 pounds potatoes were packed in 5 pound bags.
thus,
5x = 70
x = 70/5 = 14
Thus, 14 bags were packed by grocery store package.
Need help ASAP please
Answer: choice D) 5
Step-by-step explanation:
22.5/9=2.5
23.5/2.5=9.4
9.4-4.4=5=x
find two numbers such that the sum of twice the first and thrice the second is 92 ,and four times the first exceeds seven times the second by 2
Answer:
First number = 25
Second number = 14
Step-by-step explanation:
Let the numbers be x & y
The sum of twice the first and thrice the second is 92
2x + 3y = 92 -------------------(I)
Four times the first exceeds seven times the second by 2
4x - 7y = 2 --------------------(II)
Multiply equation (I) by -2 and then add the equations
(I)*-2 -4x - 6y = -184
(II) 4x - 7y = 2 { Now add, thus x will be eliminated}
- 13y = -182 {Divide both sides by -13}
y = -182/-13
y = 14
Plugin the value of y in equation (I)
2x + 3*14 = 92
2x + 42 = 92
2x = 92 - 42
2x = 50
x = 50/2
x = 25
First number = 25
Second number = 14
Two pupils each drew a triangle with one side of 6 cm , one side of 10 cm and one side of 7 cm. Must their triangles be congruent? (Answer ‘yes’ or ‘no’).
Answer:
no
Step-by-step explanation:
they can be either side because the numbers are different in the angles
3
[tex]3 \sqrt{54a {8y {5 \div 3 \sqrt{2a { - 1y {2}^{?} }^{?} } }^{2} }^{2} } [/tex]
Answer :
(a³y 3√20u)/2
Explanation :
I used these steps in solving the question
I hope it helps :)
Note : The quotient of roots with the same indexis equal to the root of the quotientWrite the division as a fractionSimply the expression [tex] \frac{ {a}^{8} }{ {a}^{ - 1} } = {a}^{9} \\ \frac{ {y}^{5} }{ {y}^{2} } = {y}^{3} [/tex]Use the communative property to reorder the termsTake the root of the numerator and denominator separately.Simplify the radical expressionMultiply the fraction by [tex] \frac{ \sqrt[3]{ {2}^{2} } }{ \sqrt[3]{ {2}^{2} } } [/tex]Calculate the productEvaluate the power ( in numerator)Calculate the product ( in denominator)Calculate the product of 5×4uReduce the index of the radical and exponents with 3
Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
Step 1
Step-by-step explanation:
I believe it's step 1 because he subtracted 6 from 86 before distributing the five. In math, you must follow PEMDAS (parentheses, exponents, multiplication & division, addition & subtraction.) This person skipped the parentheses.
PLEASE HELP, I WILL MARK BRAINLIEST!
Answer:
hope this helps you
Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
Step-by-step explanation:
Zeros: Set g(r) = (r + 14)^2 - 49 = to 0, obtaining
(r + 14)^2 = 49
Taking the square root of both sides, we get:
r + 14 = ± 7, which results in:
r = -14 + 7 = -7 and r = -14 - 7 = -21
The smaller root is -21 and the larger one is -7.
Vertex: Compare g(r) = (r + 14)^2 - 49 to y = (x - h)^2 + k, where (h, k) represents the vertex. We see that h = -21 and k = -49, so that we know the vertex to be (-21, -49).
When she graduated from college, Andrea deposited $2,000 in a savings account that earned 9% simple interest. What was the balance of her accounts after 6 months?
Answer:
$2090
Step-by-step explanation:
The time is 6/12 since it is in months and not years
Interest = [tex]\frac{Principal * Rate * Time}{1}[/tex]
=[tex]\frac{2000 * 9 * 6}{100*12}[/tex]
= $90
This means her balance will be $(2000+ 90) = $2090
If a candy bar has 150 calories per 3 servings how many calories are there in 5 servings ?
Answer:
250
Step-by-step explanation:
Ok so since 3 serving Is 150 you need to divide 150 by 3 to get the colerios per 1 serving, thats 50 then multyply it by 5 and you get 250
25 POINTS +BRAINLIEST Thalia, a quiz show contestant, answered 20 questions. She was awarded 2 points for every correct answer that she gave, but she was penalized 1 point for every incorrect answer. In the end, Thalia had a total of 28 points. In order to determine the number of correct and incorrect answers that she gave, a viewer at home used the system of linear equations x + y = 20 and 2 x + y = 28, with x being the number of correct answers and y being the number of incorrect answers. The viewer solved the system by using the linear combination method as shown. x + y = 20. + StartFraction Negative 2 x minus y = negative 28 over Negative x = negative 8 EndFraction. StartFraction negative x Over negative 1 EndFraction = StartFraction negative 8 Over negative 1 EndFraction. X = 8. 8 + y = 20. 8 + y minus 8 = 20 minus 8. y = 12. The viewer calculated that the contestant answered 8 questions correctly and 12 questions incorrectly. What went wrong? The viewer mistakenly determined that one of the equations in the system should be x + y = 20.Instead modifications should have been made before applying the equation. The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28. Instead modifications should have been made before applying the equation. The viewer multiplied the equation 2 x + y = 28 by –1 incorrectly. The viewer added the equations x + y = 20 and Negative 2 x minus y = negative 28 incorrectly.
Answer:
The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28.
Step-by-step explanation:
No of questions= 20
Right= x, Wrong= y, right= 2 points, wrong= -1 point, total points= 28
Correct pair of equations:
x+y= 20 and 2x-y= 28solution:
x= 20-y,2(20-y)- y= 2840-2y-y=283y= 40-283y=12y=4 and x= 20-y= 20-4= 16right= 16, wrong= 4======
The mistake is:
The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28.
Answer:
Step-by-step explanation:
Finished on edge 2020
please help for brainliest answer
Answer:
a) An event with probability 0 is said to be impossible
b) An event with probability 1 is said to be certain
c) The probability of getting a head when flipping an unbiased coin is shown by the letter A
Step-by-step explanation:
a) If something has a 0 on a probability scale, it will never happen. The word used to describe this outcome is impossible.
b) If something has a 1 on a probability scale, it will always happen. The word used to describe this outcome is certain.
c) The probability of getting a head on an unbiased coin is [tex]\frac{1}{2}[/tex] or [tex]0.50[/tex]. This means that we are looking for the letter that is in the exact center of 0 and 1. It can be seen that A is in the dead center of these two numbers, so this is our answer.
Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
No, x = -12/23 , y = -14/23
Step-by-step explanation:
Solve the following system:
{-3 x - 4 y = 4 | (equation 1)
y - 5 x = 2 | (equation 2)
Swap equation 1 with equation 2:
{-(5 x) + y = 2 | (equation 1)
-(3 x) - 4 y = 4 | (equation 2)
Subtract 3/5 × (equation 1) from equation 2:
{-(5 x) + y = 2 | (equation 1)
0 x - (23 y)/5 = 14/5 | (equation 2)
Multiply equation 2 by 5:
{-(5 x) + y = 2 | (equation 1)
0 x - 23 y = 14 | (equation 2)
Divide equation 2 by -23:
{-(5 x) + y = 2 | (equation 1)
0 x+y = (-14)/23 | (equation 2)
Subtract equation 2 from equation 1:
{-(5 x)+0 y = 60/23 | (equation 1)
0 x+y = -14/23 | (equation 2)
Divide equation 1 by -5:
{x+0 y = (-12)/23 | (equation 1)
0 x+y = -14/23 | (equation 2)
Collect results:
Answer: {x = -12/23 , y = -14/23
help meeeeeeeeeeeeeee
Answer:
184 square inches
Step-by-step explanation:
Bases: 4 in × 5 in × 2 bases = 40 in²
Smaller pair of lateral faces: 4 in × 8 in × 2 faces = 64 in²
Larger pair of lateral faces: 5 in × 8 in × 2 faces = 80 in²
40+64+80=184 in²
The surface area of the box is 184 in² or 184 square inches.
Answer: B) 184 Square Inches
Step-by-step explanation:
To find the surface area of the box we have to use the formula, the formula is A = 2wl + 2lh + 2hw....
To find the front and the back we have to multiply the width and the length...
8 * 5 = 40 + 40 = 80
To find the right and the left we have to multiply the length and the height...
8 * 4 = 32 + 32 = 64
To find the bottom and the top we have to multiply the height and the width...
4 * 5 = 20 + 20 = 40
40 + 64 + 80 = 184
The surface is 184 square inches, I hope this helps!
Angles A and B are supplementary. Angle A has a measure of 80°. What is the measure of angle B?
The measure of angle B is
Answer:
The measure of angle B would be 100°
Step-by-step explanation:
Supplementary means two angles add up to 180 degrees. Let's say A+B=180. Since we know what A is, we can substitute that in, B+80=180. Now solve. B=100
Can anyone please help with this.
What is the average speed of a toy car that travels 240 cm in one minute?
A 4 centimeters per second
B240 centimeters per second
C40 centimeters per second
D centimeters per second
Answer:
A is correct
Step-by-step explanation:
average speed : distance / time = 240cm / 60sec = 4cm / sec : 4 centimeters per second
Answer:
A
Step-by-step explanation:
To find the cars rate per second we need to divide 240 by 60
240/60 = 4
which descriptions from the list below describe the relationship between xyz and uvw check all that apply
Answer:
similar and same shape.
Step-by-step explanation:
Answer:
same shape and similar
Step-by-step explanation:
What is the measure of U
Answer:
U = 48
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
x+21 + x+23 + x+61 = 180
Combine like terms
3x + 105 = 180
Subtract 105 from each side
3x+105-105 = 180-105
3x = 75
Divide by 3
3x/3 = 75/3
x = 25
We want angle u
x+23
25+23
48
Answer:
48
Step-by-step explanation:
All interior angles of a triangle add up to 180.
[tex](x+21)+(x+23)+(x+61)=180[/tex]
If you wanted to you could subtract 21, 23, and 61 from 180.
[tex](x+21)+(x+23)+(x+61)=180\\x+21+x+23+x+61=180\\3x+105=180\\3x=75[/tex]
Then take then number that's left and divide it by three, since they are all in addition to the same variable.
[tex]\frac{3x}{3}=\frac{75}{3}\\ x=25[/tex]
Then add 25 to 23 which is 48.
factorise x^2-5x-6 please!??!?
Answer:
(x - 6)(x + 1)
Step-by-step explanation:
Given
x² - 5x - 6
Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 5)
The factors are - 6 and + 1 , since
- 6 × 1 = - 6 and - 6 + 1 = - 5, thus
x² - 5x - 6 = (x - 6)(x + 1) ← in factored form
Answer:
(x+1) (x-6)
Step-by-step explanation:
factorice la expresion
x^2 + x - 6x- 6
x(x + 1) -6(x + 1)
la solucion es:
(x + 1) (x - 6)
solve for x
please help !!
Answer:
34
Step-by-step explanation:
j
Answer:
it would be 31
Step-by-step explanation:
what is the y-intercept of y=-3x-2
Answer:
the answer is 2.
Step-by-step explanation:
the basic form of this equation is y=mx+c where c is the y intercept and m is the gradient. c=2 so 2 is the y intercept
Solve the exponential equation using logarithmic properties y=3^2x-4
The 2x is an exponent
Answer:
[tex]\frac{log(y+4)}{2log3}[/tex]
Step-by-step explanation:
Given the exponential equation [tex]y = 3^{2x}+4[/tex], to get 2x, we will make 2x the subject of the formula as shown;
[tex]y = 3^{2x}-4\\y+4 = 3^{2x}\\taking\ log\ of\ both\ sides\\log(y+4) = log3^{2x}\\ log(y+4) = 2xlog3\\dividing\ both\ sides\ by\ 2log 3\\\ x = \frac{log(y-4)}{2log3} \\[/tex]
The last expression gives the required value of x
write down in terms of n 4 ,1 -2, -5 ,-8
Answer:
aₙ= 3n+1
Step-by-step explanation:
4 ,1 -2, -5 ,-8
AP with a₁=4 and d= -3
----------------
aₙ= 4+3*(n-1)= 4+3n-3= 3n+1
aₙ= 3n+1
One angle of a quadrilateral is 111° and the remaining three angles are equal. Find three
angles.
Answer:
All of the 3 angles equal to 83°
Step-by-step explanation:
3x + 111° = 360°
3x = 249°
x = 83°
The time it takes to set up a circus tent varies inversely with the number E of elephants used. If 4 elephants can set up a tent in 30 hrs how long will it take 2 elephants?
Answer:
It will take 60 hours for 2 elephants to set up the tent.
Step-by-step explanation:
Represent set-up time by T and the number of elephants by E. T varies inversely with E:
T = k/E, or TE = k
If 4 elephants can set up a tent in 30 hours, then 30(4) = k, and
T = 120/E
Now let E = 2. We get T = 120/2, or 60
It will take 60 hours for 2 elephants to set up the tent.
A phone plan has a limit of $25 that can be spent on text messages. The base cost of the text plan will cost a user $5. Each text will cost $0.05. How many text messages (t) can a user send without exceeding the plan limits?
Answer:
400 texts
Step-by-step explanation:
Answer:
The answer is A)
Step-by-step explanation:
What is the exponential regression equation for the data set?
WILL GIVE BRAINLIEST!
THIS IS URGENT EMERGENCY \
Answer:
Exponential Regression. An exponential regression is the process of finding the equation of the exponential function that fits best for a set of data. As a result, we get an equation of the form y=abx where a≠0 .
Step-by-step explanation:
What is the difference of the two polynomials (9x^2+8)-(2x^2+3x)
Answer:
7x^2 -3x +8
Step-by-step explanation:
(9x^2+8)-(2x^2+3x)
Distribute the minus sign
(9x^2+8)-2x^2-3x)
Combine like terms
9x^2 -2x^2 -3x+8
7x^2 -3x +8
Answer:
[tex]5x {?}^{2} + 8 - 3x [/tex]
[tex]9x {?}^{2} + 8 - (4x {?}^{2} + 3x) \\ 9x {?}^{2} + 8 - 4x - 3x \\ 5x {?}^{2} + 8 - 3x[/tex]
What is the range of the function g(x) = |x – 12| – 2?
Answer:
[-2 , +∞[
Step-by-step explanation:
g(12) = |12 - 12| - 2 = -2
if x ≠ 12 then |x - 12| ≥ 0 because the absolute value I should always positive.
then |x – 12| – 2 ≥ -2
then g(x) ≥ -2
then the range is [-2 , +∞[
Answer:
B
Y is greater than or equal to -2