The numbers are 15 and 9 .
Numbers are the basic foundation of mathematics. Numbers are used to represent quantity and used is basic arithmetic operations. Numbers can be categorized into a lot of different types such as real or imaginary. Real numbers can be divided into integers , irrational numbers , whole numbers .The four basic arithmetic operations are multiplication , sum , division and subtraction.
Let us consider one of the given numbers be x .
Given the sum of the numbers is 21
therefore the other number = 21 - x
Now it is given that [tex]\frac{3}{4}[/tex] of 1 number and [tex]\frac{2}{3}[/tex] of another number adds up to 15 .
∴ [tex]\frac{3}{4}[/tex] of x = [tex]\frac{3}{4}x[/tex] and [tex]\frac{2}{3}[/tex] of another number = [tex]\frac{2}{3}\times(21-x)[/tex]
Now the sum of the two new numbers is given as 15.
∴ [tex]\frac{2}{3}\times(21-x) +\frac{3}{4}x =15[/tex]
[tex]or, 14-\frac{2}{3}x +\frac{3}{4}x =15\\\\or, -\frac{2}{3}x +\frac{3}{4}x =15-14\\\\or, \frac{-8+9}{12} x=1\\\\or, \frac{1}{12}x = 1\\\\or, x=12[/tex]
So the other number is 21-12 = 9 .
Hence the two numbers are 15 and 9 .
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I have no idea how to do this, any clues?
Answer:
(2x-5)+(x+25)+x
4x+20
Step-by-step explanation:
Simplify the expression.
What is the rate of inflation if an account has a nominal interest rate of 4.2% and a real interest rate of 2.8%
A. 1%
B. 1.8%
C. 2.4%
D. 1.4%
Answer:
Rate of inflation = 1.4%
Step-by-step explanation:
Given:
Nominal interest rate = 4.2%
Real interest rate = 2.8%
Find:
Rate of inflation
Computation:
Rate of inflation = Nominal interest rate - Real interest rate
Rate of inflation = 4.2% - 2.8%
Rate of inflation = 1.4%
Segment AB is the diameter of circle M. The coordinates of A are (-3, 8). The coordinates of M are (1,6). What are the coordinates of B?
1)(-7,10)
2)(5,4)
3)(-1,7)
4)(-2,1)
explanation/work needed :(
Answer:
b
Step-by-step explanation:
i need the answer to this please help
Answer:
-1/11
Step-by-step explanation:
[tex]\frac{11x}{12} -\frac{1}{6} =\frac{-1}{4}[/tex] add 1/6 to both sides
[tex]\frac{11x}{12} =\frac{1}{6} -\frac{1}{4}[/tex] make the same denominator 12 on the right side
[tex]\frac{11x}{12} =\frac{1}{6}*\frac{2}{2} -\frac{1}{4}*\frac{3}{3}[/tex] solve
[tex]\frac{11x}{12} =\frac{2}{12} -\frac{3}{12} =\frac{2-3}{12} = \frac{-1}{12}[/tex]
[tex]\frac{11x}{12}*12 =\frac{-1}{12} *12[/tex] multiply by 12 both sides
11x= -1 divide by 11
x= -1/11
What is the slope of a line parallel to the line that passes through (4, -3) and (3, -1)?
Answer:
-2
Step-by-step explanation:
find rise over run with y1-y2/x1-x2 = -2/1 = -2
The slope m of the line passing through the points A ( 4 , -3 ) and B ( 3 , -1 ) is m = -2
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the first point be A ( x₁ , y₁ ) = A ( 4 , -3 )
Let the second point be B ( x₂ , y₂ ) = B ( 3 , -1 )
Now , the equation for the slope of the line is given by ,
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( -1 - ( -3 ) ) / ( 3 - 4 )
Slope m = 2 / -1
Slope m = -2
Hence , The slope m of the line passing through the points A ( 4 , -3 ) and B ( 3 , -1 ) is m = -2
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What is 87,000,000 in scientific notation
Answer:
8.7 * 10^7
Step-by-step explanation:
Scientific notation is a representation of huge but countable numbers at it's unit place with an expansion of the powers of 10.
Hence,
87,000,000
=87*10^6
=8.7*10^7
YALL BETTER ANSWER THIS PLSSSSSSSSSSS
Answer:
= 3/16(0.1875)Step-by-step explanation:
explanation in the image.Answer:
Step-by-step explanation:
Take out lignes
-1/4x-3/7
= -7/12
A CD player and a Nike sneaker together cost $ 444. The price of the CD player is double the price of the sneaker. How much do they each cost ?
Answer:
The CD player costs $296 and the Nike sneaker costs $148.
Step-by-step explanation:
From the information given, you know that a CD player and a Nike sneaker together cost $ 444, which can be expressed as:
x+y=444, where
x is the cost of the CD player
y is the cost of the Nike sneaker
Also, you know that the price of the CD player is double the price of the sneaker, which can be expressed as:
x=2y
You can replace this formula x=2y in the first one and solve for y:
2y+y=444
3y=444
y=444/3
y=148
Finally, you can replace the value of y in x=2y to find the value of x:
x=2(148)
x=296
According to this, the answer is that the CD player costs $296 and the Nike sneaker costs $148.
You know the measure of the exterior angle which forms a linear pair with the vertex angle. Describe two ways you can find measures of the interior angles of the triangle.
Answer:
Step-by-step explanation:
A linear pair are two given angles whose sum is equal to [tex]180^{o}[/tex].
Let the exterior angle be represented by [tex]x^{o}[/tex], and the three interior angles of the triangle be represented by [tex]a^{o}[/tex], [tex]b^{o}[/tex] and [tex]c^{o}[/tex].
Assume that the vertex angle [tex]c^{o}[/tex] is the linear pair to the exterior angle [tex]x^{o}[/tex].
i.e [tex]x^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex] (sum of angles on a straight line)
Thus,
i. [tex]a^{o}[/tex] + [tex]b^{o}[/tex] = [tex]x^{o}[/tex] (sum of two opposite interior angles is equal to an exterior angle)
⇒ [tex]a^{o}[/tex] = [tex]x^{o}[/tex] - [tex]b^{o}[/tex]
Also,
[tex]b^{o}[/tex] = [tex]x^{o}[/tex] - [tex]a^{o}[/tex]
But,
[tex]a^{o}[/tex] + [tex]b^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex] (sum of angles in a triangle)
⇒ [tex]c^{o}[/tex] = [tex]180^{o}[/tex] - ([tex]a^{o}[/tex] + [tex]b^{o}[/tex])
and
[tex]a^{o}[/tex] + [tex]b^{o}[/tex] = [tex]180^{o}[/tex] - [tex]c^{o}[/tex]
ii. [tex]a^{o}[/tex] + [tex]b^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex] (sum of angles in a triangle)
[tex]a^{o}[/tex] = [tex]180^{o}[/tex] - ([tex]b^{o}[/tex] + [tex]c^{o}[/tex])
Also,
[tex]a^{o}[/tex] + [tex]b^{o}[/tex] = [tex]x^{o}[/tex]
⇒ [tex]b^{o}[/tex] = [tex]x^{o}[/tex] - [tex]a^{o}[/tex]
[tex]c^{o}[/tex] = [tex]180^{o}[/tex] - [tex]x^{o}[/tex]
What is the slope for y = 4 + 3x? *
Your answer
Answer:
3
Step-by-step explanation:
a plane ticket to Barcelona costs £175
Answer:
Given:
A plane ticket to Barcelona costs £175 the price decreases by 6%
To find:
The new price of the plane ticket
Solution:
The ticket to Barcelona costs £ 175
The price decreases by 6%
⇒ 6% = 6/100 = 3/50
The new price of the plane ticket is decreased by the amount,
= £ 175 × 3/50
= £ 10.5
Therefore, the new price of the plane ticket is given by,
= £ 175 - £ 10.5
= £ 164.5
ik this question i got at school
Answer: £175
Step-by-step explanation:
You said it costs £175
Lisa puts $8,000 in an account that earns 12% simple annual interest. If she leaves her money in the account for 4 years, how much interest will she earn?
Answer:
392000
Step-by-step explanation:A=p(1+
Someone, please help me lol I'm small brain
Answer:
Measure of EF: 1.98
Measure of AB: 6.16
Measure of HI: 12.2
Step-by-step explanation:
Trick I learned that's very helpful when solving these problems: SOH (Sine, Opposite, Hypotenuse)- CAH (Cosine, Adjacent, Hypotenuse)- TOA (Tangent, Opposite, Adjacent)
MEASURE OF EF
you're starting with angle D which is 26 degrees. You have the measure of the Hypotenuse (DF) and you're trying to find the measure of EF (the segment opposite the angle) so you would use Sine
to do the equation, i'm going to use x in place of EF. 0.44 = sin(26)
Formula: sin(angle) = (opposite)/(hypotenuse)
Equation:
0.44 = x/4.5 <----------- multiply by 4.5 to get x by itself
4.5*0.44 = x <---------- 4.5 times 0.44
1.98= x <----------------answer
MEASURE OF AB
trying to find hypotenuse and you already have the adjacent angle so you would use cosine. Using y in place of AB. 0.616 = sin(52)
cos(angle) = (adjacent)/(hypotenuse)
cos(52) = 10/y <------ divide by y
y*0.616 = 10 <------------ divide by 0.616
y = 10/0.616 <----------- next you'll divide 10 by 0.616
y = 6.16 <-----------answer
MEASURE OF HI
trying to find adjacent, already have opposite so you would use tangent. tan(42) = 0.90. using z in place of HI
tan(angle) = (opposite)/(adjacent)
tan(42) = 11/z <------------ multiply z on both sides
z*0.90 = 11 <--------- divide by 0.90 to get z by itself
z = 11/0.90 <-------- divide 11 by 0.90
z = 12.2
Which equation represents a line which is parallel to the line 3x + 8y = - 40 ?
If CE and FH are parallel lines and m<HGI are parallel lines and m<HGI = 126º, what is m<FGI? HELP ASAP
Answer: <FGI = 54
Step-by-step explanation:
180-126=54
u go to agora cyber charter school?
whos ur math teacher is it Mrs. P?
The value of the angle ∠FGI will be equal to 54 degrees.
What are supplementary angles?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet. The supplementary angles are the angles having the sum of 180 degrees.
Given that there are two parallel lines FH and CE. The value of the angle ∠HGI is 126°. The value of the angle ∠FGI will be calculated as:-
Use the supplementary property and calculate the value of ∠FGI.
∠FGI + ∠HGI = 180
∠FGI + 126 = 180
∠FGI = 180 - 126
∠FGI = 54
Therefore, the value of the angle ∠FGI will be equal to 54 degrees.
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If the given figure is rotated 180° around the origin, what are the new coordinates of point Z?
Answer:
im not sure if there is a picture it would help more :)
Step-by-step explanation:
need help with slope from two points
Answer:
whatz slope
Step-by-step explanation:
??
help me please due in 2 minutes
¿Cual es la influencia de los movimientos sociales en la consolidación de la democracia en El Salvador sociales
Answer:
The influence is there is none
Step-by-step explanation:
peter types 360 words in half an hour how many words would he type in 10 minutes typing at the same rate
Answer:
120 words I believe
Step-by-step explanation:
360÷3=120
Given a slope of 3 and the point (2, 1), find the Y-intercept of the line.
Answer:
(0,-5)
Step-by-step explanation:
my work is in the picture I attached. lmk if you'd like me to explain more :)
Step-by-step explanation:
Jason traveled 26 miles. The first 2 hours his speed was 4 mph, and the rest of the way his speed was 3mph. How long was he traveling?
Answer: 8 hours
Step-by-step explanation: You would first multiply 2 hours by 4 mph, and get 8 miles. You would then subtract 8 miles from 26 miles, and have 18 miles left. You would now divide 18 miles by 3, as he is now traveling 3 miles per hour and needs to travel 18 miles. You would get 6 hours. You would now add 6 hours by the 2 hours initially traveled at 4 mph, and get 8 hours.
Tristán wants to build a square garden in his backyard if the garden is going to be 64 ft2 how many feet of material will he need for the perimeter of the garden
Answer:
Tristan will need 32 feet of material for the perimeter of the garden.
Step-by-step explanation:
Given that
Area of square garden = A = 64 square feet
Perimeter = P = ?
We know that for calculation of perimeter, length of side of square is required which is not directly given in the question. The area will be used to calculate length of side and then length will be used to calculate the perimeter.
So,
[tex]Area = A = s^2[/tex]
s is for side
Putting the value of area
[tex]64 = a^2[/tex]
Taking square root on both sides
[tex]\sqrt{s^2} = \sqrt{64}\\s = 8\ feet[/tex]
The length of side is 8 feet.
Perimeter will be:
[tex]P = 4*s\\P = 4*8\\P = 32\ feet[/tex]
Hence,
Tristan will need 32 feet of material for the perimeter of the garden.
Bob buys eggs and potatoes at the store.
• He pays a total of $25.92.
• He pays $2.57 for the eggs.
• He buys 5 bags of potatoes that each cost the same amount.
What equation can be used to determine the cost, x, of each bag of potatoes?
9 3/4 as a percent step by step
Answer:
9 3/4 in a percent is 975%.
If you change 9 3/4 into a decimal, it will be 9.75, and 9.75 converted into a percent is 975%
A 450 gallon tank full of water is draining at a rate of 20 gallons per minute. We can represent the situation with the equation:
y
=
450
−
20
x
y
=
450
-
20
x
where x is the number of minutes that have passed by, and y is the amount of water in the tank. How long will it take for the tank to have 200 gallons?
A.
12.5 minutes
B.
32.5 minutes
C.
2.15 minutes
D.
20 minutes
Replace y with 200 ( amount of water in the tank) and solve for x:
200 = 450 -20x
Subtract 450 from both sides:
-250 = -20x
Divide both sides by-20:
X = 12.5
The answer is A. 12.5 minutes
A $45,000 car depreciates (goes down) 12% each year. How much does the car decrease by the end of the first year?
Answer: 39,600
This is what the cars value is after 1 year.
Answer:
Step-by-step explanation:
45,00 -12% =39,600
the question HOW MUCH DOES THE CAR DECREASE is asking by how much does the car decrease so 45,000 -39,600
which =5,400
hope this helps!
can I get brainliest please?
ILL GIVE YOU BRAINLEST!!
Answer:
24 pennies
Step-by-step explanation:
120 x 0.2 go get 24 and other will get 48
Help please I am in dire need
Answer:
Answer is d=9t.
Step-by-Step:
4.5/.5=9
6.75/.75=9
13.5/1.5=9
ASAP PLS....I need this for tomorrow:(
Answer:
your answer is 2x2y
Step-by-step explanation:
that's it