Answer:
x= 2597/335
Step-by-step explanation:
collect like terms
2.4x-9.1x= -6.7x
-39.44-12.5 = -51.94
-6.7x=-51.94
divide both sides by -6.7
x= 2597/335
if the compound interest on a sum for 2 years at 4% p.a. is ₹408, then the simple interest on the same sum at the same rate and for the same period is (I) ₹400 (ii) ₹398 (iii) ₹200 (iv) ₹204
Given that:
CI = ₹408
years = 2 years
Rate of interest = 4%
A = P{1+(R/100)}^
A-P = p{1+(R/100)}^n - P
I = P[1+(R/100)}^n - 1]
408 = P[{1+(4/100)²} - 1]
= P[{1+(1/25)²} - 1]
= P[(26/25)² - 1]
= P[(676/625) - 1]
= P[(676-625)/625]
408 = P(51/625)
P = 408*(625/51)
= 8*625 = 5000
Sum = 5000
Simple Interest (I) = (P*R)/100
= 5000*2*(4/100)
= 50*2*4 = 400
From the given above options, option (a) ₹400 is your correct answer.
In Lucy's coin collection, 15% of the coins are quarters.
If there are 12 quarters, find the total number of coins in Lucy's coin collection.
The total number of coins in Lucy's coin collection is equal to 80 coins.
Let the total number of coins be C.Given the following data:
Percentage of quarters = 15%Total number of quarters = 12 quartersTo the total number of coins in Lucy's coin collection:
Since the percentage of the quarters in Lucy's coin collection is equal to fifteen percent (15%) of the total number of coins. Thus, we would multiply the total number of coins by 15% and equate it to 12 quarters.
Total number of coins:
[tex]\frac{15}{100} \times C = 12\\\\15C=12 \times 100\\\\15C =1200\\\\C=\frac{1200}{15}[/tex]
C = 80 coins.
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Answer:
80 coins
Step-by-step explanation:
Let the total number of coins be C.
Given the following data:
Percentage of quarters = 15%
Total number of quarters = 12 quarters
To the total number of coins in Lucy's coin collection:
Since the percentage of the quarters in Lucy's coin collection is equal to fifteen percent (15%) of the total number of coins. Thus, we would multiply the total number of coins by 15% and equate it to 12 quarters.
Total number of coins:
C = 80 coins.
So the total number of coins in Lucy's coin collection is 80 coins.
what is the slope of a line that passes through (2,11) and (5,29)?
Answer:
6
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(29-11)/(5-2)
m=18/3
m=6
What is the hardest metal
if you get it right I'll give you brainliest
Answer:
is tungtset i tink not sure bout
Step-by-step explanation:
mark me brainlest plz
where does the normal line to the ellipse x2−xy y2=3 at the point (−1,1) intersect the ellipse for the second time?
Answer:
where does the normal line to the ellipse x2−xy y2=3 at the point (−1,1) intersect the ellipse for the second time?
Step-by-step explanation:
they Juan Carlos y los sigo pliss yyi de bvz
Evaluate the numerical expression 24
Enter your answer in the grid below.
Answer:
what grid below
Step-by-step explanation:
Answer:
what grid below
Step-by-step explanation:
PLEASE HELP ME ASAP this is very important to me IT WILL RAISE MY GRADE and if you help me god bless you
Answer:
1/5 so the first option
Step-by-step explanation:
slope
(y2-y1)/(x2-x1)
What is the Area of semicircle?
Step-by-step explanation:
Area of Semi Circle
The area of a semicircle is half of the area of the circle. As the area of a circle is πr2. So, the area of a semicircle is 1/2(πr2 ), where r is the radius.
Help please help please
Answer:
just use algebraic expression
0.2343217 Is it rational or irrational
what is the standard deviation of 77, 45, 72, 56, 98, 60, 70, 89, 50, 80, 95, 70, 34, 77, 65, 70, 70, 82, 86, 86.
What percentage of the scores are within one standard deviation of the mean (±1)? Please include the range of values for this deviation and the exact values from the data set that are included in this range.
What percentage of the scores are within two standard deviations of the mean (±2)? Please include the range of values for this deviation and the exact values from the data set that are included in this range.
Does this data fit the model of a normal distribution? Why or why not?
Standard deviation of the numbers is 16.154.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The given observations are
77,45,72,56,98,60,70,89,50,80,95,70,34,77,65,70,70,82,86,86
Average or mean of the data is
x=Sum of n values/ Total number of values
x=1432/20=71.6
The Standard deviation of the data is
[tex]\sigma=\sqrt{\frac{\sum(x-mean)^{2}}{n} }[/tex]
=√5218.8/20
=√260.94
=16.154
Hence, standard deviation of the numbers is 16.154.
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please help, thank you!
Answer:
x = 6
Step-by-step explanation:
45°+45°+m∆2 = 180°
m∆2 = 90°
; m∆2 = 16x-6
90 = 16x-6
96 = 16x
96/16 = x
6 = x
What is the mean of 9, 8, -15 and -12?
The Mean is:
Answer:
-2.5
Step-by-step explanation:
add all the values and divide by the no of values present
Please I really really do need help like now please and thank you
A, E and B lie on a straight line segment.
C, D and B lie on a straight line segment.
BD = 3m, CD = 15m and AB = 21m.
Work out the length of BE.
Give your answer as a decimal.
The length of line BE on the given line segment is 3.5 m.
The given parameters:
Length BD = 3 mLength CD = 15 mLength AB = 21 mThe sketch of the given line segments is presented in the diagram uploaded.
The length of BE is determined by applying similar triangle theorem as follows;
[tex]\frac{CB}{AB} = \frac{BD}{EB} \\\\\frac{15 + 3}{21} = \frac{3}{EB} \\\\18EB = 63 \\\\EB = \frac{63}{18} \\\\EB = 3.5 \ m[/tex]
Thus, the length of line BE on the given line segment is 3.5 m.
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Find the HCF of x 2 y 3 and x 3 y
Answer:
the answer is to the question is x2×y×3
A pair of parallel lines is cut by a transversal:
A pair of parallel lines is cut by a transversal. The interior angle made on the left by the intersection of the upper parallel line and the transversal is divided into 2 parts by a slanting line. One part of this angle is labeled as x, and the other part is labeled as 30 degrees. The interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as 75 degrees.
What is the measure of angle x?
10 degrees
15 degrees
45 degrees
60 degrees
Answer:
i wish i could help but i'm trynna figure that out myself
Step-by-step explanation:
Answer:
im pretty sure it might be 50
Step-by-step explanation:
PLEASE HELP FAST!!!
3
11
2
Which ordered pair is a solution to the system of linear equations 3 x- y- fo and x+By-to-
10?
O
12
o 5.3
21
o 35
21
3:5
simplify and factor if necessary
Answer:
[tex]\frac{1}{x}[/tex]
Step-by-step explanation:
[tex]\frac{3x - 12}{3x^{2} - 12x}[/tex]
[tex]\frac{3x - 12}{x(3x-12)}[/tex] Factor out x.
[tex]\frac{1}{x}[/tex] Simplify.
What is the value of the expression when h = 5? h + 7
Answer:
12
Step-by-step explanation:
if h=5
then h+7 = 5+7 = 12
[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]
[tex]\implies\sf{h + 7} \\ \\ \implies\sf{5 + 7} \\ \\ \implies\sf{12}[/tex]
the original price of a jacket was $74.00 .A store manager marked the price down by
25 1/2% . By how much was the price reduced?
. What is 6 8ths x 5? Draw a model of your choice to help you solve.
WILL GIVE BRAINIST
Answer:
The complete and simplified answer to the question what is 6/8 of 5 is:
3 3/4
Step-by-step explanation:
You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.
Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator: 5/1
So now that we've converted 5 into a fraction, to work out the answer, we put the fraction 6/8 side by side with our new fraction, 5/1 so that we can multiply those two fractions.
That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:
6 x 5/ 8 x 1 = 30 /8
In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.
You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 30 and 8 is 2.
We can now divide both the new numerator and the denominator by 2 to simplify this fraction down to its lowest terms.
30/2 = 15
8/2 = 4
When we put that together, we can see that our complete answer is:
15/ 4
If you now simplifiy the COMPLETE anwser is:
3 3/4
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Solve the following equation algebraically: 3 x squared = 12 a. Plus-or-minus 3 b. Plus-or-minus 2 c. Plus-or-minus 3.5 d. Plus-or-minus 1.5
Answer:
b) ±2
Step-by-step explanation:
3x² = 12
divide each side by 3 to get:
x² = 4
x = ±2
The value of the equation 3x² = 12 is x = ±2.
Option B is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x = 6 is an equation.
We have,
3x² = 12
Divide 3 on both sides.
x² = 4
x = ±√4
x = ±2
Thus,
The value of x is ±2.
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which steps transform the graph of y=x^2 to y=-(x-3)^2+2
Answer:
reflection over the x-axis
shifted 3 right
shifted 2 up
Step-by-step explanation:
This function is quadratic. Quadratic graphs are written as y=a(x-h)^2+k. Where a is a non-zero number that affects the vertical appearance of the graph, h is the horizontal placement, and k is the vertical placement.
When a is negative then, the graph has been reflected over the x-axis. This makes it look like it has been turned upside down. The variable h affects how the x-values are shifted. In this equation, h looks negative but it is actually positive because if you look at the formula, h is being subtracted. Positive h values move the graph right. So, the graph is shifted 3 units to the right. Finally, k does the same thing as h but on the vertical (y) axis. So, +2 makes the graph shift 2 units up.
What are the roots of the function
2x^2-8x=0
Answer:
[tex]x=0[/tex] and [tex]x=4[/tex]
Step-by-step explanation:
The roots of a function (also known as "x-intercepts" or "zeroes") are defined where y=0. Therefore, we will solve the quadratic:
[tex]2x^2-8x=0[/tex]
[tex]2x(x-4)=0[/tex]
[tex]x=0[/tex] and [tex]x=4[/tex]
I think of a number, increase it by four and double the answer. The
result is 20 more than the number. Find this number.
Answer:
(x+4)2=x+20
2x+8=x+20
2x-x=20-8
x=12
The number I thought of is 12.
How to convert statements into numerical expressions ?To convert statements into numerical expression break the statement into chunks write the terms with mathematical operations.Interpret twice, thrice, half of this etc logically.Practice a lot.
According to the given question I think of a number,Let the number be x.
I increase it by four and double (x+4)×2 = 2(x+4).
The result is 20 more than the number which is (x+20).
∴ 2(x+4) = (x+20)
2x + 8 = x + 20.
2x - x = 20 - 8.
x = 12.
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Lena buys candy that costs $7 per pound. She will buy less than 12 pounds of candy. What are the possible amounts she will spend on candy
Answer:
Lena can buy candy in infinite no of ways with the possible amounts:-
1 pound of candy = $7
1.1 pound of candy = $7.7
2 pounds of candy = $14
3 pounds of candy = $21
4 pounds of candy = $28
5 pounds of candy = $35
6 pounds of candy = $42
7 pounds of candy = $49
8 pounds of candy = $56
9 pounds of candy = $63
10 pounds of candy = $70
11 pounds of candy = $77
11.9 pounds of candy = $83.3
What is 2log5(5x^3)+1/3log5(x^2+6)
Answer:
Ill help you if you come help me with mine c:
Step-by-step explanation:
here is mine:
The values of f(x) and g(x) are shown for selected values of x in the table below.
x f(x) g(x)
0 0 1
1 3 2
2 6 4
3 9 8
4 12 16
Of these two functions, one is exponential and the other is linear. Determine which of the functions is linear, and explain why this must be the case.
Given 1 || m , find the value of %.
(7x - 1)
125"
m
Find x
We know that 7x - 1 must equal 125 because of Alternate interior angles. Now, let's solve for x.
Step-by step solution:=> 7x - 1 = 125=> 7x = 126=> x = 126 ÷ 7=> x = 18Conclusion:Therefore, we can conclude that x = 18.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
[tex]\\ \tt\Rrightarrow 7x-1=125[/tex]
[tex]\\ \tt\Rrightarrow 7x=125+1[/tex]
[tex]\\ \tt\Rrightarrow 7x=126[/tex]
[tex]\\ \tt\Rrightarrow x=126/7[/tex]
[tex]\\ \tt\Rrightarrow x=18[/tex]