Answer:
24
Step-by-step explanation:
To find how old Mrs. Roberts was when her son was born, we first need to know both of their ages. I'm going to give Mrs. Roberts the variable m and her son the variable s.
Let's turn the two sentences about their ages into equations:
m=Mrs. Roberts and 3s= three times as old as her son
m=3s
m+s is the sum of their ages
m+s=48
Now substitute the first equation into the second one:
m+s=48
(3s)+s=48
4s=48
s=12
The son is 12 years old. Now substitute s into one of the equations to solve for the mother's age:
m=3s
m=3(12)
m=36
Mrs. Roberts is 36. Since they are asking how old she was when her son was born, we will subtract her son's age from her age, since she would be 12 years younger:
36−12=24
Mrs. Roberts was 24 when her son was born.
credit to CountryGirl on Socratic Q&A
evaluate the following expression 10x(-9+(-6))
Answer:
-150x
Step-by-step explanation:
What is the slope of the line that passes through the points (3, -20) and (11, 16)?
please I'm being timed
Answer:
9/2
Step-by-step explanation:
(3, -20) & (11, 16)
To find the slope of the line that passes through these points, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(16 - (-20)) / (11 - 3)
Simplify the parentheses.
= (36) / (8)
Simplify the fraction.
36/8
= 9/2
9/2 is the most simplified fraction. This is your slope.
Hope this helps!
Use properties of operations to determine whether or not the expressions (x + 10) + x + 9 and 2(x + 7) + 5 are
equivalent
Answer:
The expressions are equivalent.
Step-by-step explanation:
We can simplify each expression and compare the results.
(x + 10) + x + 9 = x + 10 + x + 9 = 2x + 19
2(x + 7) + 5 = 2x + 14 + 5 = 2x + 19
2x + 19 = 2x + 19
Answer: The expressions are equivalent.
The length of a rectangle is three more than twice it’s width. the area of the rectangle is 189 in^2
What is the width
What is the length
Answer:
Let w be the width of the rectangle. The length would be 2w+3. The area of the rectangle would be w(2w+3)=189.
So 2w2+3w-189=0 Solving for w you get w=9 or -10.5. Ignoring negative value Width of the rectangle would be 9mm and length of the rectangle would be 21mm giving you the area 189 square mm.
Hope this helps:)
Consider the inequality -20.2 > 0y. Which of the following must be true? Check all that apply.
You cannot divide by zero.
The inequality is equivalent to -20.2 > 0, which is false.
The solution is y > 0.
The solution is 0 > y.
The solution is y = 0.
I think the answer is 0>y
Answer:
option 1 and 2
Step-by-step explanation:
edge 2021
The polynomial
[tex] { - 3x}^{2} + 400x[/tex]
represents the budget surplus of the town of Alphaville for the year 2010. Alphaville's surplus in 2011 can be modeled by
[tex] { - 1.5x}^{2} + 300x[/tex]
If x represents the yearly tax revenue in thousands, enter a polynomial for how much Alphaville's budget surplus increased from 2010 to 2011. If Alphaville took in $450,000 in tax revenue in 2011, what was the budget surplus that year?
The surplus increased by __________
Alphaville's budget surplus was $_____ thousand, or$ ______ million
Answer:
Answer:
Question 1: Budget Surplus Increase = 12x(exponent 2) - 200x
Question 2: Budget surplus in 2011 = $3.04 * 10 (exponent 12)
Step-by-step explanation:
Question 1
Budget surplus in 2010 =
Budget surplus in 2011 =
Increase in buget surplus = Budget surplus in 2011 - Budget surplus in 2010
Question 2
2011 yearly tax revenue, x = $450,000
Budget surplus in 2011 =
Budget surplus in 2011 ≅ $
Step-by-step explanation:
algebra 1 Solve number 10 !!!
Answer:
0.06x + 0.15y = 69.84
x = (69.84 - 0.15y) / 0.06
y = (69.84 - 0.06x) / 0.15
x + y = 852
((69.84 - 0.15y) / 0.06) + y = 852
y = ?
(I'm not trying to give you the answer but guide you how to do it)
By selling a watch for Rs 1275, Javed lost 15%. At what price should he sell to make a profit of 10%
Answer: Rs. 1,650
Step-by-step explanation:
First find the original price of the watch.
If the watch is sold at Rs. 1,275, there is a 15% loss.
Assume the watch is x.
(1 - 15%) * x = 1,275
0.85x = 1,275
x = 1,275 / 0.85
x = Rs. 1,500
Now add a 10% markup on the original:
= (1 + 10%) * 1,500
= 1.1 * 1,500
= Rs. 1,650
Damian’s computer repair shop earned $2,500 in income last week. Expenses were $2,750. What was Damian’s profit or loss for the week?
Answer:
2500-2750 = - 250
hence,he lost $250
Please find what the value of x and y is!!!
Answer:
x = 3; y = 2
Step-by-step explanation:
You would just set each side equal to its opposite so for x, it'll be like:
4x+6=7x-3
and for y:
4y-3=3y+1
I attached my work below as well to help you.
Toms banks baleances at the end of the months 1,2,3 are 1600 ,1664,1730.56 what will toms balance be at the end of month 5
Answer:
Tom's balance at the end of month 5 = 1,871.77
Step-by-step explanation:
a = 1600
ar = 1664
ar² = 1730.56
common ratio, r = ar/a
= 1664/1600
= 1.04
r = 1.04
what will toms balance be at the end of month 5
Month 5 = ar⁴
= 1600 * 1.04⁴
= 1600 * 1.16985856
= 1,871.773696
Approximately 1,871.77
Tom's balance at the end of month 5 = 1,871.77
Find the solution of the system of equations.
6x+y=30
−2x−5y=18
Answer:
Step-by-step explanation:
6x + y = 30
-6x - 15y = 54
-14y = 84
y = -6
6x - 6 = 30
6x = 36
x = 6
(6, -6)
please help i’m just trying to pass
Answer:
C- 2
Step-by-step explanation:
f(-2)=4x+10
= 4*(-2)+10
=-8+10
f(-2)=2
Convert to equation: four times a number increased by 8 is 24
Answer:
4*4
Step-by-step explanation:
since 4 times 4 is 16 then if you add 8 its 24
Simplify
(2a²b)(4ab)
Answer:
8a^3b^2
Step-by-step explanation:
HELP FOR BRAINLIEST + 5 STAR RATING + THANKS
what exactly is standard deviation? and pls gimme an example
Answer:
The standard deviation is the average amount of variability in your data set. It tells you, on average, how far each score lies from the mean.
The standard deviation measures the spread of the data about the mean value. It is useful in comparing sets of data which may have the same mean but a different range. For example, the mean of the following two is the same: 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30. However, the second is clearly more spread out.
Step-by-step explanation:
Omg please help it is due in 21 minutes please help me!!!!!
Answer:
Atleast 63
Step-by-step explanation:
Hope that helps!
A circular mirror has a diameter of 16.5 inches. What is the circumference of the mirror? Round to the nearest hundredth
Answer:
C≈51.84in
Step-by-step explanation:
C=2πr
d=2r
Solving for C
C= πd= π·16.5≈51.83628in
Which property is illustrated by the following statement?
AJAR= AJAR
A
J
R
A. Transitive
OB. Associative
O C. Reflexive
D. Symmetric
Answer: Reflexive
Step-by-step explanation:
The property that illustrated by the following statement is D. Symmetric
What is reflexive property of congruence?The reflexive property of congruence says that the considered geometric quantity, whether it be angle, line segment, or shape etc, is congruent to itself.
The symmetric property of congruence says, for objects A and B,
if A ≅ B, then B ≅ A.
The symmetric property of congruence makes the statement true:
if ΔHXA ≅ ΔRGI, then ΔRGI ≅ ΔHXA
Here properties:
Reflexive -- an object is congruent to itself: ΔHXA ≅ ΔHXA
Commutative , the operations allow the order of their operands to be reversed: A +B = B +A for addition; AB = BA (for scalar multiplication)
Transitive -- if A ≅ B and B ≅ C, then A ≅ C.
Learn more about the Symmetric
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Jennifer has 12 nickels and dimes. The value of her coins is $1
Answer:
4 dimes, 12 nickels
Step-by-step explanation:
nickels are worth 5 cents,
12x5=60
$1 is worth 100 cents
100-60 is 40
dimes are worth 10 cents
40 / 10 is 4
so 4 dimes
The number of dimes = 8 dimes
The number of nickels = 4 nickels
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of nickels be = x
Let the number of dimes be = y
Now , the total number of coins = 12
So , the equation will be
x + y = 12 be equation (1)
Now , the total value of coins = $ 1
The value of 1 dime = $ 0.10
The value of 1 nickel = $ 0.05
So , the equation will be 0.05x + 0.10y = 1 be equation (2)
Multiply equation (2) by 100 , we get
5x + 10y = 100 be equation (3)
Multiply equation (1) by 5 , we get
5x + 5y = 60 be equation (4)
Subtracting equation (4) from equation (3) , we get
5y = 40
Divide by 5 on both sides of the equation , we get
y = 8
Therefore , the value of y = 8
Substitute the value of y in equation (1) , we get
x + y = 12
x + 8 = 12
Subtracting 8 on both sides of the equation , we get
x = 4
Therefore , the value of x is 4 and value of y is 8
Hence , The number of dimes = 8 dimes
The number of nickels = 4 nickels
To learn more about equations click :
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1.1. Which statement explains why the two systems of equations below have the
same solution?
A
6x + 8y = -10
2x - 5y = 12
B
8x + 3y = 2
12x + 16y = -20
Answer:
B. The first equation in B is the sum of the equations in A, while the other is obtained
by multiplying the first equation in A by 2.
Step-by-step explanation:
If we add the first two equations that shown in A so
6x + 8y + 2x - 5y = -10 + 12
8x + 3y = 2
Now the first equation in A would be multiplied by 2
So
2(6x + 8y = -10)
12x + 16u = -20
Therefore the correct option is B.
Question 2 (1 point)
Use the vertical line test to determine whether the relation is a function.
{(3,0), (2,-1). (-1,4). (1,-2)
}
Answer:
The relation is a function.
0.734862.. irrational or rational
Answer:
Irrational
Step-by-step explanation:
Aubrey has a new art box in the shape of a rectangular prism. The box is 12 cm by 5cm
Answer:
1196
Step-by-step explanation:
trust me i checked the answer!
Solve for y when f(x)=2x^4-5
The Stock Market Alexander is a stockbroker. He earns 14% commission each week. Last week,
he sold $4,500 worth of stocks. How much did he make last week in commission? If he averages
that same amount each week, how much did he make in commission in 2011?
Shaun climbed Mount Rushmore at a unit rate of
1,250 meters per minute. How long did it take him to
climb 75,000 meters?
Answer:
60
Step-by-step explanation:
75,000/1,250= 60 mins or an hour
Mang Nathaniel is selling two kinds of vinegar. Silver duck is priced at Php
10 per bottle and Reyna Puti is priced at Php 15 per bottle. If he needs a
total sales of Php 600.00, how many bottles of Reyna Puti should he sell if
there were already 30 bottles of Silver duck sold?
Answer:
Reyna Puti sold = 20 bottles
Step-by-step explanation:
Silver duck = Php 10 per bottle
Reyna Puti = Php 15 per bottle
Silver duck sold = 30 bottles
Reyna Puti sold = x bottles
Total sales = Php 600.00
Total = cost of Silver duck * number sold + cost of Reyna Puti * number sold
600 = 10 * 30 + 15 * x
600 = 300 + 15x
600 - 300 = 15x
300 = 15x
x = 300/15
x = 20 bottles
Reyna Puti sold = 20 bottles
A local hamburger shop sold a combined total of 376 hamburger and cheeseburgers on Sunday. There were 74 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Sunday?
Answer:
82
Step-by-step explanation:
let X = the number of hamburgers sold
let Y = the number of cheeseburgers sold a combined total of 328 were sold
so: X + Y = 328
cheeseburgers = 3 times the number of hamburgers sold
so: Y = 3X
substitute 3X into the equation for Y
X + 3X = 328
4X = 328
divide both sides by 4 to get the variable X by itself
X = 82
so: 82 hamburgers were sold Friday
Answer:
There were 225 hamburgers sold on Sunday.
Step-by-step explanation:
2h - 74 = 376
h = hamburgers
2h - 74 + 74 = 376 + 74
2h = 450
2h/2 = 450/2
h = 225
Check.
hamburgers + cheeseburgers = total number of burgers
225 + (225 - 74)
225 + 151 = 376
Find y when x = 2
y = 30 - 2x
