Expressing the given equation as a power of 10 with the divisor expressed as an whole number can be written as [tex] \frac{42.66 \times 10^{2}}{297}[/tex]
Given the expression :
42.66/2.97Expressing the numbers as a power of 10 :
Dividend = 42.66 Divisor = 2.97To convert the divisor to a whole number :
Multiply both by 100
Dividend = 42.66 × 100Divisor = 2.97 × 100 = 297Expressing dividend as a power of 10 :
Dividend = 42.66 × 100 = 42.66 × 10²Hence, the equivalent equation would be : [tex] \frac{42.66 \times 10^{2}}{297}[/tex]
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Find values of x and y.
(x +12)/yº
114
9514 1404 393
Answer:
x = 54
y = 114
Step-by-step explanation:
The angle marked y° corresponds to the one marked 114°. Corresponding angles in this geometry are congruent, so ...
y = 114
__
The angle marked (x+12)° and the one marked y° form a linear pair, so are supplementary:
(x +12)° +114° = 180°
x +126 = 180 . . . . . . . . divide by °, collect terms
x = 54 . . . . . . . . . . . . subtract 126
Evaluate: - 20 – 6 =
А 26
B. 14
С -14
D - 26
Answer:
- 26
Step-by-step explanation:
- 20 - 6
= - 20 + ( - 6 )
= - 26
what are the coorrect ones?
Answer:
16:18
Step-by-step explanation:
4 * 4= 16
2*4=8
Therefore
The ratio is 16:8
Hope this helps
Have a nice day! :D
Give brainliest if possible pls :)
Find the properties of the parabola with the equation (x - 1)^2 = (y - 1). Leave answers in fractional form.
Directrix
y = 5/4
x = 3/4
y = 3/4
Answer:
B
Step-by-step explanation:
I hope i helped and ur welcome
3. Emma said that when you multiply three negative decimals , the product will be positive . Use these numbers to answer the questions: -2.5,-3.8,-2.; .7, - 4.5
Part A: Is Emma's statement always true, sometimes true, or always false? Write two equations to support your answer.
Part B: Write a rule for multiplying three negative decimals .
Part C Emma changed her statement to say that when you multiply two negative decimals and a positive decimal the product will be positive Emma's new statement always true , sometimes true or always false ? Write two equations to support your answer
Using multiplication signal rules, it is found that:
A: Emma's statement is always false.
B: The result is always negative.
C: Emma's statement is always true.
The rule used for this exercise is as follows:
When two numbers of different signals are multiplied, the result is negative.When two numbers have the same signal, the result is positive.Part A:
Three numbers are multiplied, all negative.The multiplication of the first two result in a positive number.Then, this positive number is multiplied by a negative number, and the result will be negative, which mean that Emma's statement is always false.Two examples are:
[tex]-2.5(-3.8)(-2) = 9.5(-2) = -19[/tex]
[tex]-2.5(-2)(-0.7) = 5(-0.7) = -3.5[/tex]
Part B:
The rule is that the result is always negative.
Part C:
The multiplication of the first two negative numbers result in a positive number.Then, this positive number is multiplied by another positive number, and the result will be positive, which mean that Emma's statement is always true.Two examples are:
[tex]-2.5(-3.8)(2) = 9.5(2) = 19[/tex]
[tex]-2.5(-2)(0.7) = 5(0.7) = 3.5[/tex]
A similar problem is given at https://brainly.com/question/24764960
In a figure, D and E are points on side BC of a△ ABC such that BD = CE and AD = AE. Show that △ABD ≅ △ACE
Step-by-step explanation:
AD=AE
BD=EC
D=E
....ABD=ACE
Mikel creates the table below to help her determine 40% of 70.
40% of 70
20%
20%
20%
20%
20%
0.2
0.2
0.2
0.2
0.2
14
14
14
14
14
She writes the expression (0.2) (14). Which change in Mikel’s expression will lead her to the correct answer?
The 14 in the expression could be changed to 28.
The 0.2 in the expression could be changed to 0.4.
The 14 in the expression could be changed to 70.
The 0.2 in the expression could be changed to 2.
Answer:
D i did the test
Step-by-step explanation:
Answer:
D: she need change 0.2 to 2
Step-by-step explanation:
70 divide 20% = 14
40% divide 20% = 2
Find the Perimeter of the figure below, composed of a rectangle and two semicircles. Round to the nearest tenths place.
Tickets for a school concert were priced at $7 for students and $9 for non-students. There were twice as many student tickets sold as non-student tickets for a total of $3,220.
Answer:
number of non students=140, students=280
Step-by-step explanation:
let non students be x.
so according to condition, non students=x*9
students=2x*7
now,
2x*7+x*9=3220
so, x=140
The constant of proportionality can be found by finding the
Answer:
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.
The constant of proportionality can be found by finding the ratio of y to x after applying the concept of a proportional relationship.
What is a proportional relationship?It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
It is given that:
The statement is:
The constant of proportionality can be found by finding the
As we know, from the definition of the proportional relationship; the relationship between two variables when the first variable increases.
Let x and y are in the proportional relationship
y ∝ x
y = kx
Here k is the constant of proportionality:
k = y/x
The constant of proportionality can be found by finding the ratio of y to x.
Thus, the constant of proportionality can be found by finding the ratio of y to x after applying the concept of a proportional relationship.
Learn more about the proportional here:
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We know that February has either 28 or 29 days, but there is a year in the future, February will have 30 days
What exactly is this year?
Answer:
The year 2020 is a leap year, which means February will have 29 days rather than 28, and the overall number of days will be 366 rather than 365. This was also the case in 2016, and the year 2024 will be a leap year once more.
Step-by-step explanation:
14)
Tammy uses 6 inches of wire to make a necklace and 3 inches of wire to make a
bracelet. How many necklace and bracelet sets can she make if she uses 28 inches of
wire in all?
Answer:
3 sets
Step-by-step explanation:
6+3 = 9 inches of wire
28/9 = 3 1/9
so 9 can go into 28 three times
so tammy can make three sets of neclaces and bracelets
Show your solution follow the steps need an answer, please need an answer, please.
Step-by-step explanation:
21. x² - 4x - 5 > 0
→ (x - 5) (x - 1) > 0
{x - 5 > 0
{x + 1 > 0
{x - 5 < 0
{x + 1 < 0
{x > 5
{x > -1
{x < 5
{x < -1
= x < -1 or x > 5
therefore, option A is correct
22). 4p² - 1 ≤ 0
(2p - 1) (2p + 1) ≤ 0
{2p - 1 ≤ 0
{2p + 1 ≥ 0
{2p - 1 ≥ 0
{2p + 1 ≤ 0
{p ≤ 1/2
{p ≥ -1/2
{p ≥ 1/2
{p ≤ -1/2
1/2 ≤ p ≤ 1/2
{p ≥ 1/2
{p ≤ -1/2
-1/2 ≤ p ≤ 1/2
therefore, option A is correct.
23). y < 3x² + 3x - 6
3x² + 3x - 6 = 0
3x² + 6x - 3x - 6 = 0
3x(x +2) - 3(x +2) = 0
(x +2) (3) (-3) = 0
x = -2, 1
this is the correct ans. but their is no option similar to it.
25. x and y are root of
m² - 11m + 18 = 0
hence, x + y = 11
xy = 18
2xy = 36
now, x² + y²
= (x +y)² - 2xy
= (11)² - 36
= 121 - 36
= 85
therefore, option A is correct.
26. x² - 2x - 120
(x -1)² - 1 - 1² = 0
(x -1)² = 1 + 1²
x - 1² = 2
x - 1 = ±√2
1 ± √2
therefore, option A is correct.
hope this answer helps you dear..take care!
Answer:
Step-by-step explanation:
21) x² - 4x - 5 > 0
x² - x + 5x - 5 > 0
x(x - 1) + 5(x - 1) > 0
(x - 1) (x + 5) > 0
x - 1 >0 or x + 5 > 0
x > 1 or x > - 5 Ans: D
22) 4p² ≤ 1
p² ≤ 1/4
p ≤ 1/2 or p ≥ -1/2
-1/2 ≥ p ≤ 1/2
23)y < 3x² + 3x - 6
(1 , -7)
x = 1 and y = -7
-7 < 3*1 + 3*1 - 6
-7 < 3 + 3 - 6
-7 < 0
(1 , -7) satisfies the equation.
Option b
24) 5x² - 7x = 0
a = 5 ; b = -7 ;c = 0
Discriminant = b² - 4ac = 49 - 0 = 0
[tex]x = \dfrac{-b+\sqrt{D}}{2a} \ ; \ \dfrac{-b-\sqrt{D}}{2a}\\\\x = \dfrac{7+\sqrt{49}}{10} ; \dfrac{7-\sqrt{49}}{10}\\\\x = \dfrac{7+7}{10};\dfrac{7-7}{10}\\\\x =\dfrac{14}{10} ; 0\\\\x = \dfrac{7}{5}; 0[/tex]
x = 0 ; x = 7/5 Option a)
25) m² - 11 m + 18 = 0
m² - 2m - 9m + (-9)*(-2) = 0
m(m - 2) - 9(m - 2) = 0
(m - 2)(m - 9) = 0
m = 2 , 9
x = 2 and y =9
x² + y² = 2² + 9² = 4 + 81 = 85 Option a)
26) x² - 2x - 1 = 0
Add the constant 1 to both sides
x² - 2x = 1
Divide the coefficient of x by 2. 2/2 = 1. Now add this 1 to both sides of the equation.
x² - 2x + 1 = 1+1
x² - 2x + 1 = 2
(x - 1)² = 2
Take square root
x - 1 = ±√2
x = 1 ± √2 Option a)
PLS HELO THANK YOUUUUU
Answer:
divide 500 by 125.
You get 4x = 568
Answer is 142
Happy Learning
Answer:
142
Step-by-step explanation:
Find the value of x.
calculate the formula of the triangle and then use pythagoras thereom to solve the values according to their sides
Don't forget to thank me later
1/2 to the power of 4
Answer: 1/16 because 1 to the power of anything is the same. 2 to the power of 4 is 16 so 1/16
Answer:
⅛...yo pienso pq creo va de 4 en cuatro
If the interest earned is $96.00 at a rate of 4% for 6 years, how much principal was invested? step by step equation please
Urgent Help Please!!!
Answer:
the x = 50 degrees, just because the sum of the angles of the triangle = 180 degrees, then the ABD triangle = 50 + 78+52 = 180, also the line AC will have 180 degrees, so the sum 78 + 102 = 180, and the BCD triangle is 102+ 50+28 = 180 and the ABC triangle also is 50+102+28=180
3/8(1/2f-4g) help please
The answer is 3/16f-12/8g
Ai chỉ cách làm cho mk vs ạ
Janice is a travel agent. She receives a 7% commission based on the value of the trips she
books. Today she spent 5 hours arranging a $6,300 cruise for a couple.
Based on her commission percentage, Janice was able to earn $441 in commission which translates to $88.20 per hour
The commission that Janice earned is found by:
= Commission percentage x Value of trip booked
= 7% x 6,300
= $441
The amount she earned per hour is therefore:
= Commission earned / Number of hours worked
= 441 / 5
= $88.20
In conclusion, Janice earned $441 in commission and earned $88.20 per hour.
Find out more at https://brainly.com/question/14473634.
The rest of the question is:
a. How much commission did she earn?
b. What was her mean hourly pay for the work she did?
Two cars leave towns 750 kilometers apart at the same time and travel toward each other. One car's rate is 12 kilometers per hour less than the other's. If they
meet in 5 hours, what is the rate of the slower car?
Do not do any rounding.
Answer:
57 kph
Step-by-step explanation:
5x + 5(x-12) = 750
10x = 690
x = 69
Slooow car = 57 kph
What is the value of x?
4
ISNDNDMSLWLWKXDJSNKWKEDLC
Austin and his wife go out to dinner. Their bill is $59.36. They want to leave a 19%
tip, and there is a sales tax of 5.5%. What is the final amount they will pay?
$62.62
$73.90
$74.49
$70.64
Answer:
The final amount they will pay is $74.49
Step-by-step explanation:
59.36(Check)*0.19(19% tip rate)=11.27
59.36+11.27=70.62 Check+Tip
70.62(Check total)*0.055(5.5% tax)=3.87
70.62+3.87=74.49 Total check, tip & tax
187²–87² without using mathematical table or calculator
27.400
Step-by-step explanation:
187X187 = 34.969
87X87=7.569
34.969 - 7569 = 27.400
Use the identity
(a + b)² = a ² + 2ab + b ²
Then rewrite 187² as
187² = (100 + 87)² = 100² + 2•100•87 + 87²
Subtract 87² eliminates the last term from above, so we're left with
(100² + 2•100•87 + 87²) - 87²
= 100² + 2•100•87
= 10000 + 2•8700
= 10000 + 17400
= 27400
If the measure of XWZ = 127 . What is the measure of YWV?
Answer:
Dude Where's the attachment
Step-by-step explanation:
This is incomplete without image
the value of 3√343 is (a) 8 (b)7 (c)6 (d)3
GIVING BRAINLIEST AND 20 points!
Please answer this question I will give you brainliest if you answer
WITH A STEP BY STEP explanation
Sorry for the caps but just want to make it clear if u want brainliest you gatta do that
Answer:
The answer is 27
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(3y+6+3)=196−16
(2)(3y)+(2)(6)+(2)(3)=196+−16(Distribute)
6y+12+6=196+−16
(6y)+(12+6)=(196+−16)(Combine Like Terms)
6y+18=180
6y+18=180
Step 2: Subtract 18 from both sides.
6y+18−18=180−18
6y=162
Step 3: Divide both sides by 6.
6y
/6
=
162
/6
y=27
What is the value of x?
Enter your answer in the box. I need help ASAP/ Giving Branniest
x =
°
Answer:
x = 80
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
70+30+x = 180
100+x = 180
Subtract 100 from each side
100+x-100 = 180-100
x = 80
−2/9−(−1/3÷3/5)
PLZZZZ ANSWER TEST
Answer:
The answer should be 1/3 Also known as 0.3333
