Answer:
Son = 5 years old
Mum = 30 years old
Step-by-step explanation:
Let the Mum be M and the Son be S;
[tex]M + S = 35[/tex] --- Sum
[tex]M - S = 25[/tex] -- Difference
Required
Find M and S (their ages)
Using elimination method; Add both equations to eliminate S
[tex]M + S = 35[/tex]
[tex]M - S = 25[/tex]
----------------
[tex]M + M + S - S = 35 + 25[/tex]
[tex]2M = 60[/tex]
Solve for M
[tex]M = \frac{1}{2} * 60[/tex]
[tex]M = 30[/tex]
Substitute 30 for M in [tex]M + S = 35[/tex]
[tex]30 + S= 35[/tex]
Solve for M
[tex]S = 35 - 30[/tex]
[tex]S = 5[/tex]
Hence:
Son = 5 years old
Mum = 30 years old
Whats the slope-intercept form of y + 11 = -2(x + 1.5)
Answer:
y = -2x - 14
Step-by-step explanation:
y + 11 = -2(x + 1.5)
Distribute;
y + 11 = -2x - 3
Subtract 11 from both sides;
y = -2x - 14
PLEASE ANSWER QUICKLY
Put the following equation of a line into slope-intercept form, simplifying all fractions.
6x+10y= -80
Answer:
y=-0.6 X-8
Step-by-step explanation:
6x+10y= -80
Subtract the positive 6x from both sides of the equation
This will make your equation look like 10y= -80-6x
(If it helps you can rewrite the equation so it looks like 10y= -6x -80)
Divide both sides of the equation by 10. This will isolate your Y axis
Now your equation will look like y= (-6x -80) / 10
I got y= -0.6x -8
I hope this helps and it is correct :)
my family of 5 needed 1 box of pasta for dinner which one of the following is an equivalent ratio for pasta to people
A. 2:10
B. 10:2
C. 4:5
D. 1.1
Answer:
10:2
Step-by-step explanation:
when 10:2 is reduced to its simplest whole no. ratio 5:1 is obtained
What is the solution to this rational equation? 24-x-8=4 A. x = -2 B. x = 2 C. x = 4 D. x = 14
Answer:x=14
Step-by-step explanation:
for plato users
The solution of the rational equation 24/(x-8) = 4 is x = 14.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given:
A rational equation,
24/(x-8) = 4.
Simplifying,
x - 8 = 6
x = 8 + 6
x = 14.
Therefore, the value of x is 14.
To learn more about the equation;
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5-4x-8y How many TERMS are present in this expression? 2. How many TERMS are present in this expression? List them: List them: Identify the terms, variables, coefficients, and constants in each expression.
Answer:
2 terms the terms are x and y
Answer:
Cry Shape Hearty
Step-by-step explanation:
Cry Shape Hearty
Which function is represented by the graph?
Answer:
ummmmmmmm
Step-by-step explanation:
I would help but I have no picture of what you are needing
im not sure if this is correct, pls help ! this test is timed !!
Answer:
im sorry but there is just a black screen
Step-by-step explanation:
It cost $20 plus $1.50 per hour to rent a golf cart. Write an equation showing the relationship between the cost of renting a cart (y) and the number of hours it was rented (x).
Answer:
y=20+1.5x
Step-by-step explanation:
The cost of renting a golf cart is equal to $20 plus $1.50 per hour.
let y=the cost of renting a golf cart
let x=the # of hours
y=20+1.5x
On a coordinate plane, points (2, 4), (4, 8), and (5, 10) are plotted.
Check all true statements about the graph.
The three points do not lie on a straight line.
The three points lie on a straight line.
A line through the points passes through the origin.
A line through the points does not pass through the origin.
The graph shows a proportional relationship.
The graph does not a show a proportional relationship.
Step-by-step explanation:
(2, 4), (4, 8) and (5, 10) are on the line y = 2x.
Hence they line on a straight line,
The line passes through the origin, and
it shows a proportional relationship.
Answer:
B.) The three points lie on a straight line.
C.) A line through the points passes through the origin.
E.) The graph shows a proportional relationship.
Step-by-step explanation:
PLEASE HELPP!!! BRAINLIEST AND THANKS AND 5 STARS!!
Answer:
Step four
Step-by-step explanation:
When solving equations you have to flip the sign when you divide negative integers.
Answer:
from my observation there is no mistake but here is my solution
Step-by-step explanation:
-2n+6-5>9
-2n+1>9
-2n>9-1
-2n>8
divide both sides by-2
n>-4
Need this fast guys, please help a brother out
Answer: y=-6x+7
Step-by-step explanation:
When it is parallel it needs the same slope
It takes 3 3/4 spoons of chocolate syrup to make 2 1/2 gallons of chocolate milk. How many spoons of syrup would it take to make 3 gallons of chocolate milk?
Answer:
It would take 4 1/2 spoons
Step-by-step explanation:
To make a half gallon you need .75 spoons of chocolate syrup so to make 6 half gallons(3gallons) you would need 4.5 .75(6)
-4x = 20
Please can you help anything can help
Answer:
the answer is x=-5. a negative times a negative is a positive.
Answer:
x=-5
Step-by-step explantation
You divide both sides by -4
-4=20
/
20/-4 = -5
So x=-5
When multiplying two negative integers, what is the sign of the product?
positive
negative
zero
one
Answer:
the product of adding two negative integers is a positive product
Step-by-step explanation:
There are 212.5 grams of sugar in a 2-liter bottle of soda. How much sugar is there in 4.5 bottles? please HELP ME
Consider the function f(x) = (x+ 1)2 - 1. Which of the following functions stretches
fo) vertically by a factor of 4?
O A) f0 - (/ax+ 1)2 +3
O B) f9 = 1/ax+ 1)2 -4
Oo fo-4(x+ 1)2 - 1
OD) fo = 4(4x+ 1)2- 1
Answer:
C
Step-by-step explanation:
A coefficient of 4 would have to be added in front of (x+1)^2 in order to vertically stretch the function by a factor of 4.
The answer that demonstrates this is choice C: [tex]f(x) = 4(x+1)^2-1[/tex]
The functions stretches vertically by a factor of 4 will be f(x) = 4(x+ 1)² - 1. Then the correct option is C.
What is the equation of the parabola?Let the point (h, k) is the vertex of the parabola and a is the leading coefficient.
Then the equation of the parabola will be given as,
y = a(x - h)² + k
The quadratic function is given below.
f(x) = a(x+ 1)² - 1
If the value of the leading coefficient lies between 0 to 1. Then the parabola is stretched horizontally.
And if the value of the leading coefficient is greater than one. Then the parabola is stretched vertically.
The functions stretches vertically by a factor of 4. Then the value of the leading coefficient is 4. Then the equation will be
f(x) = 4(x+ 1)² - 1
Then the correct option is C.
More about the equation of parabola link is given below.
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Find m N. Please show me how to work problem 15 out.
Answer:
468
Step-by-step explanation:
You have to do 12x39
Please help ASAP thank you so much
One glass of lemonade uses cup of lemonade mix.
How many glasses of lemonade can Stephanie make with 3 cups of lemonade mix?
Answer:
3 glasses
Step-by-step explanation:
1 glass= 1 cup
3 cups= 3 glasses
Answer:
Step-by-step explanation:3 glasses
ESTIMATE THE QUOTIENT
6.1÷8 =
31.9÷4 =
4.35÷5 =
Answer:
6.1÷8 = 0.7625
31.9÷4 =7.975
4.35÷5 = 0.87
Step-by-step explanation:
Sum of two numbers = 14
Product of the numbers = 40
Find the numbers.
What is their difference?
PLEASE HELP,, MARKING BRAINLIEST!!!
Choose the similarity statement that best represents the triangles. Provide evidence.
A. Triangles are similar by AA similarity.
B. Triangle are similar by SAS similarity.
C. Triangles are similar by SSS similarity.
D. Triangles are not similar.
Answer: D, these Triangles are not similar.
Step-by-step explanation:
Prove triangle ABD similar to triangle CBD.
Answer:
THANK YOU
Step-by-step explanation:
<3
What is the rvalue of the following data, to three decimal places?
Please help if possible thanks so much due soon❤️❤️
I need help please help
Answer:
Step-by-step explanation:
page 70/4
Reason 1. Given
Reason 2. Definition of angle bisectors (bisectors form ≅∠s)
Statment3. m∠2 =m∠3
Reason 4. Given
Reason 5. m∠1 +m2=90°, Reason 5. Definition of Complementary ∠s (they add-up to 90°)
Reason 6. because statment 2. and transition propriety ( if a=b and b=c then a=c)
Statment 7. ∠1 is complementary to ∠3
pls help my stupid risen brain
Answer:
I'll help. First of all, you aren't stupid, second of all believe in yourself and you can do anything.
:)
P.S
Sorry if I sound like a school counselor.
lol :)
There are 30 birds in an enclosure at the zoo. 1/5 of the birds are native to North America. 1/3 of the birds are native to South America. The remaining birds are native to Australla. How many of the birds in the enclosure are Native to Australla? Plz helppppppppp
Answer:
Number of Australia birds = 14
Step-by-step explanation:
Given:
Total number of birds = 30
North america birds = 1/5 birds = 30/5 = 6 birds
South america birds = 1/3 birds = 30/3 = 10 birds
Find:
Number of Australia birds
Computation:
Number of Australia birds = Total number of birds - North america birds - South america birds
Number of Australia birds = 30 - 6 - 10
Number of Australia birds = 14
someone give me underrated songs/artists
Answer:
1. " Fools Gold" by One Direction.
2. " Rain" by Kid Kudi.
3. " Lover to Lover" by Florence + the Machine.
4. " All Too Well" by Taylor Swift.
5. " Tomorrow Is Today" by Billy Joel.
6. " 5 Year Plan" by Chance the Rapper.
7. “ Tenerife Sea” by Ed Sheeran.
8. "
Step-by-step explanation:
what is a coefficient
Answer:
a numerical or constant quantity placed before and multiplying the variable in an algebraic expression
Step-by-step explanation:
hi
Find the accumulated amount of an ordinary annuity with a payment of $2,500, at 8% interest compounded quarterly for 16years. The number you substituted in for the variable n was And the answer you calculated for the accumulated amount was
Answer:
$8,564.86
Step-by-step explanation:
