A fraction is a way to describe a part of a whole. The fraction that can replace the question mark is 1/2.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
The fraction that can replace the question mark is,
9 × ? = (3/2) + (3/2) + (3/2)
9 × ? = 3(3/2)
9 × ? = 9/2
9 × ? = 9/2
? = 9/(2×9)
? = 1/2
Hence, the fraction that can replace the question mark is 1/2.
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Пожалуйста помогите с решением
Answer:
( x, y) =
[tex]65 \ \frac{15}{11} [/tex]
this is your answer
kantabai bought 1/2 kg tea and 5 kg sugar from a shop .she paid rupess 50 as return fare for rickshaw .total expense was rupess 700 .then she realised that by ordering online the goods can be bought with free home delivery at the same price .so next month she placed the order online for 2 kg tea and 7 kg sugar she paid rupess 880 for that .find the rate of sugar and tea per kg
Answer:
40 Rs per kg.
Step-by-step explanation:
solution
Let the rate of tea be x Rs per kg and that of sugar be y Rs per kg.
When Kantabai bought the items by going to the shop,
3/2x+5y+50=700
⇒3x+10y=1300....(I)
When Kantabai bought the items online then
2x+7y=880......(II)
Multiplying (I) with 2 and (II) with 3 we get
6x+20y=2600......(III)
6x+21y=2640.......(IV)
eq.(IV)−(III)
y=40
Putting the value of y =40 in (II)
2x+7(40)=880
⇒2x=880−280=600
⇒x=300
Thus, tea is at 300 Rs per kg and sugar is 40 Rs per kg.
1/3x + 1 = -2 PLEASE HELP
Answer:
x = -9
Step-by-step explanation:
1/3x + 1 = -2
1/3x = -2-1
1/3x= -3
x = -3 * 3
x = -9
Hey there!
1/3x + 1 = -2
SUBTRACT 1 to BOTH SIDES
1/3x + 1 - 1 = -2 - 1
SIMPLIFY IT!
1/3x = -2 - 1
1/3x = -3
MULTIPLY 3 to BOTH SIDES
1/3x * -3 = -3 * 3
SIMPLIFY IT!
x = -3 * 3
x = -9
Therefore, your answer should be:
x = -9
Good luck on your assignment & enjoy day!
~Amphitrite1040:)
After 5 years, how much will marcia have saved in interest by consolidating the two balances? a. $1,526.40 b. $2,422.80 c. $105.00 d. $227.40
The closest among the choices is Choice C. $105. Differences in amount may vary in the rounding off of the decimal numbers.
The complete question is given below as:-
Marcia has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate. The table below shows the information about the two credit cards Marcia currently uses.
Card A
Card B
Amount
$1,879.58
$861.00
APR
14%
10%
Monthly Payment
$43.73
$18.29
After 5 years, how much will Marcia have saved in interest by consolidating the two balances?
a.
$1,526.40
b.
$2,422.80
c.
$105.00
d.
$227.40
What is income?The amount received by an employee by giving the service or work to any frim will be termed as the income.
Given:
Card A - 1,879.58 ; APR 14%; monthly -43.73
Card B - 861.00 ; APR 10% ; monthly -18.29
5 years x 12 months/yr = 60 months.
Card A = 43.73 x 60 = 2,623.80
Card B = 18.29 x 60 = 1,097.40
Total : 2,623.80 + 1,097.40 = 3,721.20
Lowest APR is 10%. monthly rate: 0.83%
Total Card balance: 1,879.58 + 861 = 2,740.58
A = P * (r(1+r)^n) / [(1+r)^n -1]
A = 2,740.58 * [0.0083 (1.0083)^60] / [(1.0083)^60 - 1]
A = 2,740.58 * 0.014/0.64
A = 2,740.58 * 0.022
A = 60.29 monthly payment.
60.29 x 60 = 3,617.40
Separate cards: 3,721.20
Consolidated: 3,617.40
Difference: 103.80
Therefore closest among the choices is Choice C. $105. Differences in amount may vary in the rounding off of the decimal numbers.
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In scientific notation, 8,700 is written:
8.7 x (10 1)
8.7 x (10 2)
8.7 x (10 3)
8.7 x (10 4)
The number 8700 written in scientific notation is 8.7 * 10^3
How to express the number in scientific notation?The number is given as:
Number = 8700
The scientific notation is represented as:
a * 10^b
Where a is between 1 and 10 and b is an integer representing the number of zeros
So, we have:
8700 = 87 * 10^2
Express 87 as 8.7 * 10
8700 = 8.7 * 10* 10^2
Evaluate
8700 = 8.7 * 10^3
Hence, the number 8700 written in scientific notation is 8.7 * 10^3
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Which of the following is not a way to represent the solution of the inequality 5(x + 2) 2 7x + 2(x - 1)?
The following way is a way which can not be used to represent the solution of 5(x + 2) ≥ 7x + 2(x - 1) is "A number line with a closed circle on 3 and shading to the right".
How to solve inequality?5(x + 2) ≥ 7x + 2(x - 1)
5x + 10 ≥ 7x + 2x - 2
5x + 10 ≥ 9x - 2
collect like terms5x - 9x ≥ -2 - 10
-4x ≥ - 12
x ≤ -12/-4
x ≤ 3
Therefore, the correct answer is "A number line with a closed circle on 3 and shading to the right".
The complete question:
Which of the following is not a way to represent the solution of the inequality 5(x + 2) greater than or equal to 7x + 2(x − 1)? . A number line with a closed circle on 3 and shading to the right. . A number line with a closed circle on 3 and shading to the left. . 3 greater than or equal to x . x less than or greater to 3
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As the sample size increases, the margin of error _____.
As the sample size increases, the margin of error decreases.
What is margin of error?A margin of error is known to be a statistical measurement that states the difference between apparent and projected results in a random sample survey.
From the formula:
MOE = z × √σ²/n
Where
σ = standard deviation
z = quantile
n = sample size
MOE = margin of error
From the formula, sample size is inversely proportional to the margin of error.
Hence, as the sample size increases, the margin of error decreases.
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Please help , giving brainliest .
Answer:
363.22
Step-by-step explanation:
Method 1:
You could find the whole figure surface area than divided by 1/2
Method 2: (the one I'm going to personally be doing)
Break the figure into two rectangular figures
Formula for surface area of rectangular prism:
A = 2(width x length + height x length + height x width)
Figure 1:
A = 2(width x length + height x length + height x width)
height = 3.8 yd
length = 10.1 yd
width = 4.3 yd
A = 2((4.3) x (10.1) + (3.8) x (10.1) + (3.8) x (4.3))
A = 2(98.15)
A = 196.3
Figure 2:
A = 2(width x length + height x length + height x width)
height = 8.4 yd
length = 10.1 yd
width = 2 yd
A = 2((2) x (10.1) + (8.4) x (10.1) + (8.4) x (2))
A = 2(121.84)
A = 243.68
There is overlapping surface area that shouldnt be include so we need to subtract it...
For one face of figure 1
3.8 x 10.1 = 38.38
Total:
Figure 1 + Figure 2 - 2(one face)
196.3 - 38.38 = 157.92
243.68 - 38.38 = 205.3
205.3 + 157.92 = 363.22
What is the completely factored form of f(x)=x3+5x2+16x+80 ?
Answer:
The complete factored form of the given [tex]f(x)[/tex] is [tex](x+5)(x^2+16)[/tex].
Step-by-step explanation:
Answer:
f(x)=x*3+5x+2+16x+80 y=x*3+5x*2+16x+80 x=y*3+5y*2+16y+80=8 3y+10y+16y+80=x29y+80=x29y=x-80y=1/29x-80/29 f(x)-1=1/29x-80/29
Find the radius and circumference of a circle with an area of 28.26.
Answer:
Radius = 3
Circumference = 18.84
Step-by-step explanation:
A = πr²
28.26 = 3.14r²
√9 = √r²
3 = r
C = 2πr
C = (2)(3.14)(3)
C = 18.84
please help me!!!!!!!! will mark brainliest
Answer:
i) 0.5
ii) 0.76
Step-by-step explanation:
i) 0.5
ii) 0.76
What is the surface area of this cylinder? Use 3.14 and round your answer to the nearest hundredth. 8 ft 15 ft
The surface area of the cylinder is 1155.52 square ft if the radius and height of the cylinder are 8 ft and 15 ft.
What is a cylinder?In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
The surface area of the cylinder:
[tex]\rm A =2\pi rh+2\pi r^2[/tex]
r = 8 ft
h = 15 ft
[tex]\rm A =2\pi (8)(15)+2\pi (8)^2[/tex]
A = 1155.52 square ft
Thus, the surface area of the cylinder is 1155.52 square ft if the radius and height of the cylinder are 8 ft and 15 ft.
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catergorize the graph as linear decreasing, linear increasing, exponential growth or exponetnial decay
i cant help you with that bc there is no graph so...
help please i need answers fast if you help or try to help tysm *hearts*
Answer:
C. 3rd one Fraction 10/24
Step-by-step explanation:
3/4 - 2/6 = 0.41 or = 10/24 or it could be equal to 5/12 are 10/24, 15/36, 20/48 and 25/60 or as Decimal 0.41
Step-by-step explanation:
Hope This Helped
What is the end behavior of the function f(x)=−1/4x^2?
Answer:
As x approaches infinity, f(x) approaches negative infinity
As x approaches negative infinity, f(x) approaches negative infinity
Step-by-step explanation:
Because the function goes in the downward direction on both sides, it would be negative infinity for both.
It's basically saying, as the x values go towards the positives, the y values go towards the negatives
and as the x values go towards the negatives, the y values go towards the negatives.
please help if u know :D
Answer:
B.
Step-by-step explanation:
We can start by dividing 3.5 and 0.75.
3.5/0.75 is 4.67.
Now, we multiply 4.67 by 1 since we are finding how much she walks in 1 hour.
1*4.67 is 4.67.
The given line segment has a midpoint at (3, 1).
On a coordinate plane, a line goes through (2, 4), (3, 1), and (4, negative 2).
What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?
An equation is formed of two equal expressions. The equation of the perpendicular bisector is y=(1/3)x.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation of the line that passes through (2, 4), (3, 1), and (4,-2), are,
m = (4-1)/(2-3) = 3/-1 = -3
Since the product of the slope of two perpendicular lines is -1. The slope of the perpendicular line is,
m₁m₂ = -1
(-3) m₂ = -1
m₂ = 1/3
Since the line is the perpendicular bisector it will pass through midpoint,
1 = (1/3)(3) + C
1 = 1 + C
C = 0
Hence, the equation of the perpendicular bisector is y=(1/3)x.
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Find the slope of the line through the given points: (-19, 5), (19, 15)
Answer:
Step-by-step explanation:
(15 - 5)/(19 + 19)= 10/38= 5/19 is the slope
y - 5 = 5/19(x + 19)
y - 5 = 5/19x + 5
y = 5/19x + 10
Ari said there are three possible outcomes when you spin this spinner twice: two reds, a yellow and a red, or two yellows.
So, the probability of getting two yellows is 1/3
Do you agree or disagree? Explain your thinking.
Answer:
I disagree.
Step-by-step explanation:
The reasoning may be wrong but I believe it is disagree.
I am going to keep it simple.
On the spinner there are 4 options, 3 for red and 1 for yellow.
Therefore, we have a 1/4 chance to get a yellow once.
If we get a yellow again, it is another. 1/4 chance.
1/4 x 1/4 is 1/16, considerably smaller than 1/3.
Answer:
From inspection of the diagram, we can see that the spinner is divided into 4 equal parts, where 3 parts are red and 1 part is yellow.
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Therefore,
[tex]\implies \textsf{Probability of getting a red} = \sf \dfrac{3}{4}[/tex]
[tex]\implies \textsf{Probability of getting a yellow} = \sf \dfrac{1}{4}[/tex]
Multiplication Rule for Independent Events
For independent events A and B:
[tex]\sf P(A\:and\:B)=P(A) \times P(B)[/tex]Therefore,
[tex]\begin{aligned}\implies \sf P(yellow\:and\:yellow) & = \sf P(yellow) \times P(yellow)\\\\ & = \sf \dfrac{1}{4} \times \dfrac{1}{4}\\\\ & = \sf \dfrac{1}{16}\end{aligned}[/tex]
ConclusionAri is incorrect. The spinner is divided into 4 parts, where only one part is yellow. Therefore, the probability of spinning a yellow is 1/4. As the events are independent, the Multiplication Rule should be used to calculate the probability of spinning 2 yellows. So the probability of spinning 2 yellows is 1/4 x 1/4 = 1/16.
Please help me this is my last question this one is worth big points for me
Answer: your gonna add 3,000+ 5,000 then you will add test answer to 157.50 then you’ll put the answer for 3,000+5,000 then you’ll put that in the first box then you’ll add that number two 157.50
Step-by-step explanation:
Hope this helps
:3 have an amazing day or a beautiful day:)
3. There are 1800 students in a school, out of which 950 are girls and the rest are
boys. If 40% of the girls and 30% of the boys come to school by public transport,
find the number of students who come to school through other modes of
transportation?
The number of students who come to school through other modes o transportation is 1,165.
How do we solve a percentage problem?The number of students who come to school through other modes o transportation can be calculated as follows:
A = Number of girls that uses other modes o transportation = (100% - 40%) * 950 = 570
B = Number of boys that uses other modes o transportation = (100% - 30%) * (1800 - 950) = 595
C = Total number of studens that uses other modes o transportation = A + B = 570 + 595 = 1,165
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Give the prime factorization of 28.
You are a pharmacy technician at costco. you are responsible for filling prescriptions for patients
that are ordered by the doctors.
you are looking over a pharmacy order. a doctor ordered 180 ml of prednisone 2 mg/1ml. you
checked, and do not have 180 ml of prednisone 2 mg/1ml. at the moment, you only have 10 mg
tablets in stock and cherry syrup.
you want to make this order for the patient, and in order to do this, you need to calculate how
many 10 mg tablets you will need to mix cherry syrup, in order to create 180 ml of 2mg/1ml.
now, just to make sure you understand the metric system well, can you describe what ml
measures and how it compares to the base unit? what does mg compare and how does it
compare to the base unit?
Answer:
36 tablets
Step-by-step explanation:
We are asked to find the number of tablets of a particular mass that are required to give a specific mass-to-volume ratio for a given volume of solution. The units used are all SI (metric) units.
__
metric unitsThe International System of units (abbreviated SI in all languages) defines seven base units and a number of derived units. The base unit for length is the meter. For mass, the base unit is the kilogram. The derived unit for volume is the liter, which is 1/1000 of a cubic meter.
Currently, there are 20 prefixes defined that signify powers of 10 ranging from 10^-24 to 10^24. These are used in front of the abbreviations for units. Useful here are the prefixes kilo- and milli-, standing for 10^3 and 10^-3, respectively. The relevant abbreviations are ...
m - meterg - graml or L - liter (often L is used in order to avoid confusion)k - kilom - milliIn this problem, the volume of syrup used is 180 ml, or 180×10^-3 liters. The mass of medicine in one tablet is 10 mg, or 10×10^-3 grams.
__
mass of medicineWe desire a solution with a concentration of 2 mg/ml. We want 180 ml of the solution, so the mass of medicine that needs to be incorporated is ...
(180 ml)×(2 mg/ml) = 360 mg
number of tablets
Each tablet supplies 10 mg of medicine. To get 360 mg of medicine, we need n tablets, such that ...
n(10 mg) = 360 mg
n = (360 mg)/(10 mg) = 36 . . . . tablets
36 tablets of 10 mg each are needed to mix with 180 ml of syrup to give 2 mg/ml.
Rachael took her dogs, Rico, Mocha, and Biscuit, to the vet. Rico weighed 45.7 kilograms, Mocha weighed 15.5 kilograms, and Biscuit weighed 22.1 kilograms. How much more did Rico weigh than Biscuit?
Subtraction is a mathematical operation that reflects the removal of things from a collection. The amount by which Rico weighs more than Biscuit is 23.6 kilograms.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
Given Rico weighed 45.7 kilograms, Mocha weighed 15.5 kilograms, and Biscuit weighed 22.1 kilograms. Therefore, the amount by which Rico weighs more than Biscuit is,
Difference = 45.7 kgs - 22.1 kgs = 23.6 kgs
Hence, the amount by which Rico weighs more than Biscuit is 23.6 kilograms.
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A philanthropist pledges to donate 10% of a fund each year. If the fund initially has $450,000 how much will
the fund have after 7 years?
Fund Balance = $
After 7 years fund balance will be $2152336.05 if the philanthropist pledges to donate 10% of a fund each year.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent. [tex]\rm y = a^x[/tex]
where a is a constant and a>1
We have:
A philanthropist pledges to donate 10% of a fund each year.
We can find the amount left after 7 years as follows:
A = 450000(1 - 0.1)⁷
10% of a fund each year.
Rate r = 10% = 0.1
A = 450000(0.9)⁷
A = $2152336.05
Thus, after 7 years fund balance will be $2152336.05 if the philanthropist pledges to donate 10% of a fund each year.
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Slope of (1,-4) and (0,-5)
Answer:
Slope is 1
Step-by-step explanation:
use slope formula: m= [tex]\frac{y2-y1}{x2-x1}[/tex]
m= [tex]\frac{-5+4}{0-1}[/tex]
[tex]\frac{-1}{-1}=1[/tex]
m=1
Hope this helps!
If not, I am sorry.
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to find the slope of
[tex]\star\mathrm{(1,-4)}[/tex]
[tex]\star\mathrm{(0,-5)}[/tex].
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
Use the slope formula.Here's the slope formula:
[tex]\star\boxed{\mathrm{\cfrac{y2-y1}{x2-x1}}}[/tex]
Input the values, which are:
y2=-5
y1=-4
x2=0
x1=1
[tex]\star\mathrm{\cfrac{-5-(-4)}{0-1}}[/tex]
Simplify!
[tex]\star\mathrm{\cfrac{-5+4}{-1}}[/tex]
[tex]\star\mathrm{\cfrac{-1}{-1}}[/tex]
[tex]\star\boxed{\mathrm{1}}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
#StudyWithBrainly
~Just a smiley person helping fellow students :)
[tex]\bf{\overline{\underline{\overline{\underline{Maribel\:Peri}}}}[/tex]
Solve: log8 (x - 4) = 2
Answer:
x = 68
Explanation:
⇒ log₈(x - 4) = 2
apply log rules: logₐN = x then N = aˣ
⇒ (x - 4) = 8²
simplify
⇒ x - 4 = 64
add 4 on both sides
⇒ x = 64 + 4
add the integers
⇒ x = 68
Answer:
x = 68
Step-by-step explanation:
Given equation:
[tex] \rm log_{8}(x - 4) = 2[/tex]
To Find:
Value of x
Solution:
Rewrite the equation in exponential form which is equivalent to b^y = x.
[tex] \implies {8}^{2} = x - 4[/tex]
Now find the value of x.
[tex] \implies \:64 = x - 4[/tex]
Transpose 4 from RHS to LHS, make sure to change its sign from (-) to (+) .
[tex] \implies \: 64 + 4 = x[/tex]
Overturn the equation
[tex] \implies \: x = 68[/tex]
Thus, value of x is 68.
The size of a television screen is measured by the length of the diagonal of the screen. What size is a television screen that is 4 feet tall and 6 feet wide
The Pythagorean theorem also known as the Pythagoras' theorem, is the basic relationship between the three sides of a right triangle. The length of the diagonal of the screen is 7.211 ft.
What is Pythagoras theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.
Given the diagonal is 4 feet tall and 6 feet wide. Therefore, using the Pythagorean theorem, The length of the diagonal of the screen can be written as,
[tex]\text{Length of the diagonal} = \sqrt{4^2+6^2} = \sqrt{52} = 7.2111\rm\ ft[/tex]
Hence, the length of the diagonal of the screen is 7.211 ft.
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The diagram shows line MN graphed on a coordinate plane.
Determine the slope of line MN.
Determine the length of line MN.
Answer:
slope has a gradient of -3/5
Step-by-step explanation:
change in y / change in X
-6 / 10
for the length use Pythagoras
Given the table, write an equation in slope-intercept form.
Answer:
If you plot points accordingly to the points on the table, Option A. is correct.