Answer:
In the Alan account is 77$
Step-by-step explanation:
The answer is 77$ because the sum of their savings is $89 and the difference is $12 you have to substract 89-12 and the result is 77$.
The money saved in Alan's savings account is $38.5.
Given that, Kira has more in her savings account than Alan has in his.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Let the money in Kira's savings account be x and the money in Alan's savings account be y.
The sum of their savings is $89.
So, x+y=89 --------(I)
The difference is $12
So, x-y=12 --------(II)
Add equation (I) and (II), we get
x+y+x-y=89+12
⇒ 2x=101
⇒ x=$50.5
Substitute x=50.5 in equation (I) and simplify, we get
50.5+y=89
⇒ y=89-50.5
⇒ y=$38.5
Therefore, the money saved in Alan's savings account is $38.5.
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f = 5x - 2y x = 3 and y = −2 Find the value of f
you just replace the letters so its going to be
f=5x- 2y with x=3 , y= -2
f=5·3 -2 (-2)
f=15+4=19
Answer:
f=19
Step-by-step explanation:
f=5x-2y
when X=3 & y= -2
or, f=5×3 - 2×(-2)
or,f=19
Plz help me Srry to bother u
Answer:
Option D 2:3 is the correct answerIn Kaylee's history class, 1/2 of the students are making videos for their final project and 1/12 are making dioramas. What fraction of the students are making either a video or a diorama?
Write your answer as a fraction or as a whole or mixed number.
Answer:
7/12
Step-by-step explanation:
Is this correct?!?! Pls let me know
Answer:
Nope. It isn't.
Step-by-step explanation:
6^2 + 8^2 = 100, and 100 = 10^2. So that means that the thing that you chose is incorrect.
Find the value of x in the triangle shown below
Answer:
A) x=3
Step-by-step explanation:
5^2-4^2=9
x=sq rt 9=3
1.
Last year, the ratio of literate and illiterate people of Rashkundu Village was
4:1. If the population of the village is 6550, let's find the numbers of literate
and illiterate people.
Step-by-step explanation:
Let the literate and illiterate people of Rashkundu Village be 4x and x respectively then 4x + x = 65505x = 6550x = 6550 / 5x = 1310Therefore no. of literate people = 4 * 1310 = 5240no. of illiterate people = 1310 Hope it will help :)Answer:
5,240 literate
1310 illiterate
Step-by-step explanation:
-ratio of literate : illiterate is 1:4
-add the numbers in the ratio (4+1=5)
-divide total population by 5 (6,550/5= 1,310)
-multiply the outcome by 4 to find the number of literate people (1,310*4=5,240 people)
-subtract the number of literate people from total population to find number of illiterate people (6,550-5,240= 1,310 people).
Help plzzzzzz
Which product of prime polynomials is equivalent to 36x^3-15x^2-6x?
Answer:
the answer is C. because the factor was 36x^3-15x^2-6x so i got 3(x^2+1)(4×-1)
types of tables in statistics
Answer:
Statistical tables can be classified under two general categories, namely, general tables and summary tables.
The statistical tables may further be classified into two broad classes namely simple tables and complex tables. ...
The marks secured by a batch of students in a class test are displayed in Table 3.8.
Step-by-step explanation:
Mary saw a watch that she had to have! It was on sale for $81 off which represents a 45% discount from the original price. What is the original price of the watch?
Answer:
147
Step-by-step explanation:
100-45=55
55%->81
100%-> 147.272727272
≈147(am not sure if it needs to be estimated )
if g(x)=f(1/3x), which statement is true?
A the graph of function f is Stretched vertically by a scale factor of 3 to create the graph of function g
B The graph of function F stretched horizontally by a scale factor of 3 to create the graph of function g
C The graph of the function F is compressed horizontally by a scale factor of 1/3 to create the graph of function G
D The graph of function F is compressed vertically by a scale Factor of 1/3 to create the graph function G
Answer:
Step-by-step explanation:
Hope this Helps ;)
A rectangle Is (2x-3) cm long and (x+7) cm wide. What Is It's area?
Answer:
Step-by-step explanation:
Length (L)= 2x - 3 cm
Breadth (b) = x + 7 cm
Area of the rectangle
= L * b
= ( 2x - 3)(x+ 7)
= 2x(x + 7) - 3(x + 7)
= 2x² + 14x - 3x - 21
=( 2x² + 11x - 21) cm²
hope it helps
Answer:
[tex]2x^{2}[/tex] + 11x -21 [tex]cm^{2}[/tex]
Step-by-step explanation:
Area of a rectangle = Length × Width
= (2x-3)(x+7)
Multiply 2x with x, 2x with +7, -3 with x and -3 with +7
= [tex]2x^{2}[/tex] + 14x - 3x - 21
= [tex]2x^{2}[/tex] + 11x -21 [tex]cm^{2}[/tex]
What is the simplified form of the following expression??
Answer:
[tex]2x^{2}[/tex]
Step-by-step explanation:
Hope that helps!!!
-scsb17hm
Express the fraction 1/15^7 using a negative exponent
Answer:
I think its 15^-7
Step-by-step explanation:
you can forget about the one and just look at the 15 and 7 which you get 15^-7
The fraction (1/15)⁷ can be written as 15⁻⁷ after using the properties of the integer exponent.
What is an integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The number expression is:
= (1/15)⁷
As we know, from the definition of the integer exponent; integer exponents are exponents that should be integers. It may be a positive or negative number.
After using the properties of the integer exponent:
= (15⁻¹)⁷
= 15⁻⁷
Thus, the fraction (1/15)⁷ can be written as 15⁻⁷ after using the properties of the integer exponent.
Learn more about the integer exponent here:
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Does anyone know what that number would be?
Step-by-step explanation:
The new c term be 49 for completing the square.
x² - 14x + 49
= x² - 2 * x * 7 + 7²
= ( x - 7) ²
Hope it will help :)
Answer:
49
Step-by-step explanation:
What two numbers add to the middle term and multiply to the last term? 49 doesnt fit in to 14 at all so we know that one of the factors is 7. since the middle term is -14, you would add -7 to -7 to get that. so we know the factors of the middle term are -7 and -7, so all you have to do is multiply them together. It would be positive 49.
¿Cuál es el área de un rectángulo que mide 1/2 cm de base y 3/8 cm de altura ?
¡Por favor ayuda!!!!!!!
Answer:
3/16
Step-by-step explanation:
Answer:
Es el Pentágono creo amigo nose si sera
HELP! Convert these repeating decimals into fractions
Answer:
0.563 = 563/9990.18 = 2/110.9 = 10.123 = 41/333------------
0.235 = 53/2250.427 = 47/1100.018 = 1/550.35 = 16/45-------------
1.5 = 1 5/93.6 = 3 2/3A store makes earrings that cost $3.50 to make. Afterwards they mark up the price 400%. How much do they sell the earrings?
Answer:
$14.00Step-by-step explanation:
3.50 x 400%
400% = 4
3.50 x 4 = 14.00
9
2. What value of x makes the equation
3
113
=
true?
Answer:
i don't understand what your asking, but i hope this helps
Step-by-step explanation:
the process of ascertaining the variable value that makes the equation true is called 'solving' the equation. An equation is a verbalization that two quantities are equipollent. For exp/example:. x + 1 = 4 betoken that when we integrate 1 to the unknown value, 'x', the answer is equipollent to 4
Let f(x)=√x^2 - 64. Evaluate the function f(-x). What conclusion can be made?
a.) The function is an odd function.
b.) The function is both an even and an odd function.
c.) The function is an even function.
d.) The function is neither an even nor an odd function.
9514 1404 393
Answer:
c.) The function is an even function.
Step-by-step explanation:
Either way you interpret the given function, you have ...
f(-x) = √(-x)^2 -64 = √x^2 -64
f(-x) = f(x) . . . . the function is an even function (only)
Find the values of x and y plz
Answer:
x= 40, y= 140
Step-by-step explanation:
if two parellel lines cut by a transversal then same-side interior angles are supplementary.
180-140 = x
x = 40
x and y are suplementary
180-40 = 140
Reflect the figure over the line y= -x -2
pls help no tutors know the answer!!
Answer: You'll have a quadrilateral with the following points
(5, -5)(4, -7)(6, -7)(8, -3)A diagram is posted below.
===================================================
Explanation:
The given quadrilateral has four unmarked points. I'll add the point labels A,B,C,D such that
A = (-3, 3)B = (-5, 2)C = (-5, 4)D = (-1, 6)I started at the lower right corner and worked my way clockwise.
----------------
Let's shift the line y = x-2 up two units so that it moves to y = x
We'll need to shift every point of the quadrilateral up two units as well.
So we have these new point locations after the shifting has occurred.
A' = (-3, 5)B' = (-5, 4)C' = (-5, 6)D' = (-1, 8)----------------
Now we need to reflect over the diagonal line. The rule to reflect over the line y = x is as simple as swapping the x and y coordinates.
So we can say [tex](x,y) \to (y,x)[/tex]
A point like (-3, 5) moves to (5, -3)
We have these new locations
A'' = (5, -3)B'' = (4, -5)C'' = (6, -5)D'' = (8, -1)----------------
The last thing to do is to shift everything down 2 units. This is to undo the first step we did when we shifted everything up by 2 units.
Doing this leads to these locations
A''' = (5, -5)B''' = (4, -7)C''' = (6, -7)D''' = (8, -3)Check out the diagram below.
Given the function f(x)=4^x+3
Answer:
f(x)=4^x+3
Step-by-step explanation:
ok annnnnd
solve:
1 + 0 = ?
4 + 0 = ?
3 + 0 = ?
do you get it?
Answer:
1+0=1
4+0=4
3+0=3
hope this helps
Angela and Amelia went to breakfast at IHOP. Angela ordered a $7.25 plate of pancakes and bacon. Amelia ordered the $9.99 breakfast special. They paid a 15% tip. The tip was $
Answer:
$2.58
plzzzzzzzz give me brainliest answer!!!!!!! PLZZZZ!!
Hope this helps! Thank you!
Which conic section is represented by the following equation?
–5x2 + 9xy + 5y2 + 6x – 4y + 11 = 0
circle
ellipse
parabola
hyperbola
Answer:
B: Ellipse
Step-by-step explanation:
Just put in the equation on desmos. An ellipse will pop-up
The conic section is represented by the following equation –5x^2 + 9xy + 5y^2 + 6x – 4y + 11 = 0 is circle.
We have given that the equation of the equation is,
–5x^2 + 9xy + 5y^2 + 6x – 4y + 11 = 0
What is the general formula of the ellipse?The general formula of the circle is
[tex]ax^2+2xy+by^2+2fx+2gy+c=0[/tex]
Compare the given equation with the general formula of the circle so we get the equation of the circle
Therefore the equation of the circle is –5^+ 9xy + 5y^2 + 6x – 4y + 11 = 0
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John planted a 4 foot tree in his backyard. The tree grows at a constant
rate of 2 feet every 5 weeks.
Answer:
There is not an actual question here, so i will answer this in a general way.
The initial height of the tree is 4 ft.
We know that every 5 weeks, the tree grows 2 ft
Then the rate at which the tree grows can be calculated as:
R = (how much it grows)/(in how much time)
Then:
R = (2 ft)/(5 weeks) = 0.4 ft/week
This means that the tree grows 0.4 feet per week.
Then we can write the equation:
H(w) = 4ft + (0.4ft/week)*w
Where w is the number of weeks since John planted the tree.
So if we want to know the height of the tree in a particular week, like week 3, we just need to replace w by 3 weeks in the above equation:
H(3 weeks) = 4ft + (0.4 ft/week)*(3 weeks)
= 4ft + 1.2 ft = 5.2 ft
Please help I’ve been stuck on this question for the longest
Answer:
7 in., 9 in., 5 in.
Step-by-step explanation:
6+2>9 = incorrect
9+7>16 = incorrect
2+7>9 = incorrect
7+5>9 = correct
7+9>5 = correct
9+5>7 = correct
Basically two side lengths added together should be more than the number left out.
I hope this helps!
A grocer has two kinds of tea: one selling for 80 cents a pound and the other selling for 60 cents a pound. How many pounds of each kind must be used to make 50 pounds worth 74 cents a pound?
Answer:
35 pounds of tea for 80 cents.
Step-by-step explanation:
Equation::
value + value = value
80x + 60(50-x) = 74*50
80x + 60*50 - 60x = 74*50
20x = 14*50
x = 35 lbs (amt. of 80 cent tea to use)
50-x = 15 lbs (amt. of 60 cent tean to use)
Answer:
35 pounds of tea for 80 cents.
15 pounds of tea for 60 cents.
Step-by-step explanation:
x · 80 + y · 60 = 50 · 74
x + y = 50 · (- 60)
80x + 60y= 50 · 74
- 60x - 60y = -50 · 60
20x = 50 · (74-60) = 50 · 14
x = 50 · 14/20
35 pounds of tea for 80 cents.
y = 50 - 35 =
15 pounds of tea for 60 cents.
Given that 198 = 2 x 3² x 11 and 90 = 2 x 3² x 5,
a) find the smallest integer, k, such that 198k is a perfect square
b) the largest integer that is a factor of both 198 and 90
(pls show working ty :) )
9514 1404 393
Answer:
a) 22
b) 18
Step-by-step explanation:
a) In order for 198k to be a perfect square, all of its integer factors must be squares. 3² is already a factor. To make the other factors be squares, need to multiply by 2 and 11. That is, k = 2×11 = 22. Then we will have ...
198k = 2×3²×11 × (2×11) = 2²×3²×11² = (2×3×11)²
k = 22
__
b) The factors that are different in the two numbers are 11 and 5. The factors that are the same are 2×3² = 18.
18 is the greatest common factor of 198 and 90
_____
The "work" is looking at the numbers in the factor lists and comparing those to what is needed to answer the question.
what is the lcm of 3y and 6x?
Step-by-step explanation:
First expression = 3y
second expression = 3 * 2 x
LCM = 3 * 2x * y = 6xy