Answer:
780,000,000
1,500,000,000
15625
Step-by-step explanation:
[tex]10^{8}[/tex] = 100,000,000
7.8 x 100,000,000 = 780,000,000
[tex]10^{9}[/tex] = 1,000,000,000
1.5 x 1,000,000,000 = 1,500,000,000
[tex]5^{0}[/tex] = 1
([tex]5^{3}[/tex])² = [tex]5^{3}[/tex] x [tex]5^{3}[/tex] = 125 x 125 = 15625
15625 x 1 = 15625
A store is having a sale in which all bookbags are discounted by `30\%`. Mai has a coupon for `\$5` off the regular price of one bookbag. The store first applies this coupon, and then takes `30\%` off the reduced price. If Mai pays `\$23.10` for the bookbag, what was the original price, `x`, before the sale and without the coupon?
Answer:
$35.56
Step-by-step explanation:
I think.....
;-;
The original price would be $38 before the sale and without the coupon.
Given that Mai offers a $5 off the regular price of one book bag coupon. The store first uses the discount, then deducts 30% off the lowered price.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
Let the original price would be x before the sale and without the coupon.
As per the given condition,
Since Mai pays $23.10 for the bookbag
⇒ (x -5) - 30% (x -5) = 23.10
⇒ (x -5) - 0.30(x -5) = 23.10
Apply the distributive property of multiplication,
⇒ x - 5 - 0.30x + 1.5 = 23.10
Rearrange the likewise terms and apply the arithmetic operation,
⇒ x - 0.30x = 23.10 + 5 - 1.5
⇒ 0.70x = 26.60
⇒ x = 29.60/0.70
⇒ x = 38
Therefore, the original price would be $38 before the sale and without the coupon.
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Identify the symmetrical interval that includes 95% of the sample means for a population with a mean equal to 44 and a standard deviation equal to 9 using a sample size of 36
The lower bound of this interval is 51.08, and the upper bound is 58.92.
Given:
Mean = 44
Standard deviation = 9
n = 36
The formula for the confidence interval of the sample mean:
Confidence Interval = [tex]X \pm z * (\sigma / \sqrt n)[/tex]
For a 95% confidence level, the z-score is approximately 1.96.
Plugging in the values into the formula, we have:
Confidence Interval = 44 ± 1.96 * (9/ √36)
= 44 ± 1.96 * (9/ 6)
= 44 ± 1.96 * 1.5
= 44 ± 2.94
Therefore, the symmetrical interval that includes 95% of the sample means is (46.94, 41.06).
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I need help please thanks
Answer:
149.5
Step-by-step explanation:
if im wrong then dam.n
circumference and area
To find the area of a circle: [tex]\pi r^2[/tex]
To find the circumference of a circle: [tex]\pi *d[/tex] or [tex]2\pi r[/tex]
The image attached below has more equations for circles.
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!
Stay Brainy!
-[tex]Kallmekris[/tex]
Today, the price of a new cell phone is $129. In 2000, the price of a similar cell phone was $240. What is the percent of change in the price of a cell phone from 2000 to today? Since it wen from $240 in the year 2000 to $129 today, this would indicate a percent decrease. Round to the nearest percent.
Answer:
86.05
Step-by-step explanation:
Its hard to explain but trust me and look at my ranking and see all the people Ive helped :)
Please solve e e eee
Answer:
C.
Step-by-step explanation:
Multiply both sides by 15, which gives you r≥-75
Since the graph has to go in the direction of numbers greater than -75, that would be -74, -73, -72, etc. So, it is C.
Zalia meets her friend at the science museum to see a special exhibition. The admission to the museum is $12. 50 per person plus tax. Zalia pays for herself and her friend. They have lunch at the museum’s cafe. Zalia has a sandwich for $5. 95, an apple for $1. 25 and a drink for $1. 69. She is charged tax and also tips her server 15%. If tax is 7. 25%, how much did Zalia pay all total for her day at the science museum? a. $41. 43 b. $37. 68 c. $36. 35 d. $24. 27 Please select the best answer from the choices provided A B C D.
Zalia paid all total for her day at the science museum is $41.43 including all taxes and tips and other expenses.
It is given that
Admission to the museum = $12.50 per person
Number of persons= 2
Sandwich charge = $5.95
Apple charge = $1.25
Drink charge = $1.69
Tax rate = 7.25%
Tip = 15%
What is the percentage?The percentage is value per hundred
Total amount without tax and tip(a)= 12.50*2+5.95+1.25+1.69 = $33.89
Tax(b) = 7.25% of $33.89 = 7.25*33.89/1000= $2.457025
Tip(c) = 15% of $33.89 = 15*33.89/100 = $5.0835
Net amount = a+b+c = $41.43
Therefore, Zalia paid all total for her day at the science museum is $41.43
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Write an equivalent expression in expanded form. -2( -6x - 1)
Answer:
12x+2
Step-by-step explanation:
Multiplication
Of the 15 students on the playground, one-fifth want to play kickball. How many students want to play kickball?
Answer:
3 students want to play kickball.
Step-by-step explanation:
15 divided by 1/5 is 3 because 3x5=15
Pedro sliced 27 cakes. Each chocolate cake had 7 slices and each lemon cake had 6 slices. If Pedro made 170 slices in total, how many of each type of cake did he slice?
Answer:
Step-by-step explanation:
Let number of chocolate cakes = c
Number of lemon cakes = l
Total cakes = 27
c + l = 27 ---------------(I)
Total slices = 170
7c + 6l = 170 ---------------(II)
Multiply equation (i) by (-7) and then add. So, c will be eliminated and we can find the value of l
(I) * (-7) -7c - 7l = -189
(II) 7c + 6l = 170 {Now add}
- l = -19
l = 19
Plugin l = 19 in equation (I)
c + 19 = 27
c = 27 - 19
c = 8
Number of chocolate cakes = 8
Number of lemon cakes = 19
A taxi service charges you $ 1.50 plus
$0.60 per mile for a trip to the airport.
Angie paid $13.50 for her ride to the
airport. How far did she travel?
Answer:
20 Miles
Step-by-step explanation:
13.50 - 1.50 = 12
12 / 0.60 = 20
20 Miles
How do I solve this?
Answer:
Given:A ∆ with an exterior angle :116° & two interior angles 7x+6 & 4x
To find :The value of angle 7x+6
Solution:we know that ,
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non adjacent interior angles of the triangle.
so,
[tex]7x + 6 + 4x= 116 \\ 11x + 6 = 116 \\ 11x = 116 - 6 \\ 11x = 110 \\ x = 110 \div 11 \\ x = 10[/tex]
so ,the measure of green angle would be
[tex]7x + 6 \\ placing \: the \: value \: of \: x \: as \: 10 \\ 7 \times 10 + 6 \\ = 70 + 6 \\ = 76[/tex]
Verification:To verify our answer ,the sum of the resultant value of green angle and 4x should be 116°(the exterior opposite angle)
so,
[tex]7x + 6 + 4x = 116 \\ 7 \times 10 + 6 + 4 \times 10 = 116 \\ 70 + 6 + 40 = 116 \\ 76 + 40= 116 \\ 116 = 116 \\ \\ hence,\: verified[/tex]
Solution:
Note that:
Green angle = 7x + 64x + 7x + 6 + (180 - 116) = 180Simplify the equation to find x.
4x + 7x + 6 + (180 - 116) = 180=> 11x + 6 + (64) = 180=> 11x + 70 = 180=> 11x = 180 - 70=> 11x = 110=> x = 110/11 = 10Substitute the value of x into the measure of the green angle.
7x + 6=> 7(10) + 6=> 76°The measure of the green angle is 76°.
What are the variables in the
expression below?
Заb - 5а + 4b – 8
A. 3,-5, and 4
B. only b
C. a and b
D. only a
A bakery used 40% more sugar this month than last month. If the bakery used 600 cups of sugar last month, how much did it use this month?
Answer:
840 cups
Step-by-step explanation:
600x 0.4 = 240 (40% of 600)
600+240 = 840
Answer:
the bakery used 840 cups of sugar this month
Step-by-step explanation:40% of 600 is 240
600+240 is 840 so your answer is 840
Math help. please show work. Thank you.
Answer:
13. 204.49 cm²
14. 15 cm²
15. 36 cm²
Step-by-step explanation:
Area of a square is:
A = a² where a is the side length
A = 14.3² cm
A = 204.49 cm²
Area of a triangle is:
[tex]A = \frac{hb}{2}[/tex] or [tex]A = \frac{1}{2}hb[/tex] where h is the vertical height and b is the base length
A = (5×6)÷2
A = 30÷2
A = 15
Area of a rectangle is:
A = L×W where l is the length and w is the width
A = 8×4.5
A = 36
3/m = 45/50 HELP THIS IS HARD, WILL GIVE BRAINLIST IF CORRECT ANSWER AND ANSWERED RIGHT
Step-by-step explanation:
Simplify for m by using algebra.
Divide each side by 3:
[tex] \frac{3m}{3} = \frac{0.95}{3} [/tex]
[tex] m = \frac{19}{60} [/tex]
what is 6.729 x 8.3 (show ur work thanks)
Answer:
55.8507
Step-by-step explanat
55.8507 is the answer
hope i helped ;D
How much heat is absorbed when
500g of liquid water is heated from
25 degrees Celsius to 100 degrees
Celsius? The specific heat of liquid
water is 4.18J/g*C. Show all of your
work!
The quantity of heat absorbed by the water is 156,750 J.
Heat absorbed by the water
The quantity of heat absorbed by the water is calculated as follows;
Q = mcΔθ
where;
m is mass of waterc is specific heat of waterΔθ is change in temperatureQ = 500 x 4.18 x (100 - 25)
Q = 156,750 J
Thus, the quantity of heat absorbed by the water is 156,750 J.
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Explain Exponential growth and decay?
Answer:
Exponential growth is a mathematical development based on an exponential function that grows indefinitely. Exponential decay occurs in mathematical functions where the rate of change decreases and must thus reach a limit, which is the horizontal asymptote of an exponential function.
URGENT
Which best describes the slope of the line that passes through (-9,5) and (4,3)?
Let's find slope:-
(-9,5)(4,3)Slope:-
[tex]\\ \rm\Rrightarrow m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \rm\Rrightarrow m=\dfrac{3-5}{4+9}[/tex]
[tex]\\ \rm\Rrightarrow m=\dfrac{-2}{13}[/tex]
Solve for x round to the nearest 10th
Answer:
x = 18.5
Step-by-step explanation:
sin0 = opp/adj
tan51 = x/15
tan51 • 15 = x
18.5 = x
Esperanza is helping her aunt bag apples to sell at the market. They have 98 apples and they want to put 14 apples in each bag. How many full bags of apples will they have when they are done? a Make and explain a reasonable estimate for this problem. About how many bags will they fill? How do you know?
Answer:
They will have 7 full bags of apples.
Step-by-step explanation:
if you divide the 98 apples into groups of 14 you will have 7 groups (bags) of apples.
Riley, a child psychologist, claims that for all samples of size 40 from the population of infant boys and all samples of size 40 of newborn girls, the mean of the sampling distribution of the difference in sample means (boys minus girls) is 0.2 month. Is Riley correct
Using subtraction of normal variables, it is found that Riley is not correct, as the mean is of 8 - 8 = 0.
What is the distribution of the subtraction of normal variables?The mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
Researching this problem on the internet, it is found that, for both samples, the mean is of 8, hence:
8 - 8 = 0.
Thus, Riley is not correct.
More can be learned about the subtraction of normal variables at https://brainly.com/question/14397951
What is 13/6 as a whole number?
Answer: 2 1/6
Step-by-step explanation: 13 divided by 6
Please help me figure this out :"D
Hello! In order to solve the first problem, you need to know the properties of a rhombus.
Some basic rules that apply to the problem you should know are:
All sides of a rhombus are equal, however, a rhombus consists of two angles.Opposite angles are congruent.Adjacent angles are supplementary.Diagonals intersect each other at 90 degrees.Diagonals bisect the opposite interior angles.All angles of a rhombus will always add up to 360 degrees.To be congruent, line segments must be equal in length. The same rule applies to angles, they must be of equal measure.
This being said,
1. HT is congruent to MA
2. ST is congruent to MS
3. AMH is congruent to ATH
4. If angle MHT is 80 degrees, than angle MAT is 80 degrees as they are vertical (opposite) angles. This means they are always congruent.
5. If line MH = 9, then due to congruency AT must equal 9.
A square is 360 degrees. Every line is equal, every angle is equal.
There are four right angles in a square. A right angle equals 90 degrees.
Since every line has the same length, they are all congruent.
1. True
There are no angles less or more than 90 degrees in a perfect square.
2. False
KD and IN are not perpendicular since they do not intercept. They are parallel.
3. False
Every angle in a perfect square is 90 degrees.
4. True
You can draw out lines to get a better perception of KN and ID. They are congruent due to properties of a square.
5. True
Factor completely 3x2 x 7. (3x 1)(x 7) (3x 7)(x 1) Prime (3x 4)(x 3).
The given expression is irreducible or prime in nature.
Given expression is
[tex]3x^2+x+7[/tex]
What is a discriminant?The discriminant tells us whether there are two solutions, one solution, or no solutions.
Since Discriminant of this quadratic function is,
[tex](1)^2-4*3*7=-83[/tex] , negative
So factors without imaginary terms are not possible.
Thus given expression is irreducible or prime in nature.
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Please answer with steps
|3+5x|
----------- =4
9
Answer:
x=4.5, 36/9
step by step explanation: First we find what 4 wholes is (36) and than we see what we are multiplying x by (8) to solve for x we divide 8 by 36 you should get 4.5 now we plug the number into the eqation to see if we were correct.
Write an equation in point-slope form of the line that passes through the point (2, 1) and has a slope of
m = 2.
-
y
--(2-0)
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad \qquad \stackrel{slope}{m}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{2}(x-\stackrel{x_1}{2})[/tex]
Sophia works at the library for 3 weeks longer than 2/3 of the quarter. A
quarter is 15 weeks long at Sophia's college. How many weeks in the quarter does Sophia work at the library?
Answer:
13
Step-by-step explanation:
we are looking for 2/3 of 15
15/3=5
5+5=10
10=2/3 of a quarter
2/3+3
10+3=13
I need help with eight and nine you are to multiply the binominaals using the horizontal format
Answer:
8. [tex]15m^2-31m+10\\[/tex]
9. [tex]x^2y^2z^2+2xyz-3[/tex]
Step-by-step explanation:
[tex](a+b)(c+d)=ac+ad+bc+bd\\(3m-5)(5m-2)=3m*5m+3m(-2)-5*5m(-2)\\=3m*5m+3m(-2)-5*5m(-2)\\=15m^2-31m+10[/tex]
^#8^
[tex](xyz+3)(xyz-1)=xyzxyz+xyz(-1)+3xyz+3(-1)\\=xyzxyz+xyz(-1)+3xyz+3(-1)\\=x^2y^2z^2+2xyz-3[/tex]
^#9^
