Answer: 35
the age of Roberto is x (x > 3)(x ∈ N)
because Roberto is 3 years older than Carolyn => the age of Carolyn is x - 3
in 7 years, the age of Roberto is x + 7; the age of Carolyn is x - 3 + 7 = x + 4
because In 7 years the sum of their ages will be 81 =>
x + 7 + x + 4 = 81
⇔ 2x + 11 = 81
⇔ 2x = 70
⇔ x = 70/2 = 35
=> the age of Roberto is 35
Step-by-step explanation:
What is the radius of a circle whose equation is (x + 5)2 + (y - 3)2 = 42?
O 2 units
Ο Ο Ο
4 units
8 units
16 units
Answer:
The radius of the circle is:
[tex]r=4[/tex] unitsStep-by-step explanation:
Given the equation
[tex]\left(x\:+\:5\right)^2\:+\:\left(y\:-\:3\right)^2=\:42[/tex]
As we know that
[tex]\left(x\:-\:a\right)^2\:+\:\left(y\:-\:b\right)^2=\:r^2\:[/tex]
is the equation of the circle with a radius 'r', centered at (a, b)
[tex]\mathrm{Rewrite}\:\left(x+5\right)^2+\left(y-3\right)^2=4^2\:\mathrm{in\:the\:form\:of\:the\:standard\:circle\:equation}[/tex]
so, the circle properties are:
[tex]\left(x-\left(-5\right)\right)^2+\left(y-3\right)^2=4^2[/tex]
Therefore, the radius of the circle is:
[tex]r=4[/tex] units
Selena is 6 years younger than Paul. in 15 years, Paul will be 4 times the age that Selena is now. find their present ages
what is g(h(10))? on edge2020
Answer:
2√2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
g(x) = √(x - 4)
h(x) = 2x - 8
Step 2: Evaluate
h(10)
Substitute: h(10) = 2(10) - 8Multiply: h(10) = 20 - 8Subtract: h(10) = 12g(h(10))
Substitute: g(h(10)) = √(12 - 4)Subtract: g(h(10)) = √8Simplify: g(h(10)) = 2√2Answer: A
Step-by-step explanation:
2 ÷ 1/2 what is the answer
Answer:
2 ÷ 1/2 is 4
Step-by-step explanation:
create a model or equation that will represent to the amount of relief each family will receive bearing in mind that the number of families will vary.
Missing Information
Suppose the officials conducted a survey for 4 days to determine the actual number of families residing in the barangay and the secretary constructed a tableto keep track of the data.
Day 0:
Number of families: 850
Amount of relief each family will receive: 520
Answer:
f(x) = 442000/x
Step-by-step explanation:
Given
The data in the above table
Required
Determine a model or equation
First, we need to determine the amount of relief for all families.
Using data in day 0.
Total Amount = 850 * 520
Total Amount = 442000
Next, we determine the function of equation.
Let the number of families he represented by x
The function or equation is gotten by dividing the total amount by the number of families.
Hence:
f(x) = Total Amount ÷ x
Substitute values for total amount and x
f(x) = 442000/x
Hence, the model that satisfies the given information is:
f(x) = 442000/x
Write 74 in expanded form. Then check all that apply.
Answer:
7x7x7x7
Step-by-step explanation:
The exponent is 4. The exponent tells you to multiply 7 together 4 times
Answer:
above
Step-by-step explanation:
In physical education class, Mai takes 10 free throws and 10 jump shots. She earns 1 point for each free throw she makes and 2 points for each jump shot she makes. The greatest number of points that she can earn is 30.
Write an inequality to describe the constraints. Specify what each variable represents.
Answer:
30
Step-by-step explanation:
10 x 1 (for the free throws)= 10
10 x 2 (for the jump shots)= 20
20+10=30
IIf two ounces of cheese has 200 calories, how many calories are in 5 ounces of cheese?
Answer:
500 calories
Step-by-step explanation:
200 / 2 = 100
1 ounce = 100 calories
5 * 100 = calories.
OR
200 * 5 = 1000
1000 / 2 = 500
Therefore, 5 ounces of cheese = 500 calories.
A triangle has dimensions 3, 4, and 5. A similar triangle is drawn with a scale
factor of 2. What are the dimensions of the new triangle?
A. 3, 4, and 5
B, 6, 8, and 10
C. 1.5, 2, and 2,5
D. 30, 40, and 50
a car travels from point s at (-5,7) to point t at (-5,-1). if each unit represents 20 miles, how long will it take the car to travel this distance, traveling at 40 miles per hour?
Answer:
The value is [tex]t = 4 \ hours[/tex]
Step-by-step explanation:
From the question we are told that
The initial position of the car is [tex]x_i , y_i = (-5,7)[/tex]
The final position of the car is [tex]x_f , y_f = (-5,-1)[/tex]
The speed of the car is [tex]v = 40 \ miles / hour[/tex]
Generally the distance covered by the car along the x-axis is
[tex]x = -5 - [- 5][/tex]
=> [tex]x = 0[/tex]
Generally the distance covered along the y-axis is
[tex]y = y_i - y_f[/tex]
=>[tex]y = y_i - [-1][/tex]
=> [tex]y = 8[/tex]
Generally the resultant distance covered is
[tex]R = \sqrt{x^2 + y^2}[/tex]
=> [tex]R = \sqrt{0^2 + 8^2}[/tex]
=> [tex]R = 8[/tex]
From the question we are told that 1 unit of the distance covered is 20 miles so
8 units is
[tex]r = 8 *20[/tex]
=> [tex]r =160 \ miles[/tex]
Generally the time taken is mathematically represented as
[tex]t = \frac{r}{v}[/tex]
=> [tex]t = \frac{160}{ 40}[/tex]
=> [tex]t = 4 \ hours[/tex]
The larger the two numbers is one more than four times the small number. if the sum of the numbers is 106,find the two numbers
Answer:
Smaller no. = 21
Larger no. = 85
Step-by-step explanation:
Smaller no. = y
Larger no. = 4y + 1
y + (4y + 1) = 106
y + 4y + 1 = 106
5y + 1 = 106
5y = 106 - 1
5y = 105
y = 105/5
y = 21
Smaller no. = y = 21
Larger no. = 4y + 1 = 4×21 + 1 = 84 + 1 = 85
Determine whether the system has no one, or infinitely many solutions.
y = 2x + 6
y = -x - 3
Answer:
One solution
Step-by-step explanation:
I think its 1 solution but I could be wrong, I looked it up and it said one solution.
Answer:
one
Step-by-step explanation:
I am using substitution method:
2x+6=-x-3
subtract 6 from both sides
2x=-x-9
add x to both sides
3x=-9
divide by 3
x=-3
you can also graph this to see. I personally like using desmos.
!!HELP!! Which of the following pairs of numbers is matched with its correct greatest common factor? Select two that apply.
The greatest common factor of 62 and 74 is 6.
The greatest common factor of 45 and 70 is 5.
The greatest common factor of 38 and 39 is 3.
The greatest common factor of 60 and 84 is 12.
Answer:
D
Step-by-step explanation:
Answer:
The greatest common factor of 60 and 84 is 12
Step-by-step explanation:
60=2×2×3×584= 2×2×3×7so above explanation the greatest common factor is 12
There are 86 calories in 100 g of banana
There are 89 calories in 100 g of yogurt
Amanda has 70 g of banana and 140 g of yogurt for breakfast
Work out the total number of calories in this breakfast
Find the slope of the line through the
given points: (2,6) & (5, 6)
Answer:
Zero Slope
Step-by-step explanation:
rise over run or y2 - y1 / x2 - x1
6-6/5-2 = 0/3
How many groups of 5 are in the product of 523 and 45
Describe your results. If you had to express this relation as a verbal statement, how would you describe it?
Forearm (Input) Foot(Output)
9 inches 9 inches
8 inches 9 inches
8 inches 8 inches
5 inches 4 inches
10 inches 9 inches
Answer:
this is the answer
Step-by-step explanation:
A E
The verbal statement that would describe it is
An input of 9will result to a 9 and an 10and an input of 4will result to an 9and 5
2/3 times 8
Please answer quick
Answer:
16/3 or 5 1/3
Step-by-step explanation:
Answer:
2/3x8= 2/3x1/8= 6/8 if u simplifie it, it would be 3/4.
=3/4
Which three-dimensional figure has half the number of vertices as the rectangular prism?
hexagonal prism
rectangular pyramid
triangular prism
triangular pyramid
Answer:Triangular pyramid (tetrahedron) has 4 vertices
Step-by-step explanation:
Answer:
its d i just got 100%Step-by-step explanation:
A triangle is formed with side lengths of 5 inches, 12 inches, and 15 inches. Is the triangle a right triangle?
Answer:
the triangle is not a right angle
Step-by-step explanation:
5²+12²=169
15²=225
The given triangle is not right angle triangle, because the given information of the triangle does not hold the Pythagoras theorem.
What are Pythagorean triplets?In a right-angled triangle, its side, such as hypotenuse, perpendicular and base is Pythagorean triplets.
Here,
A triangle is formed with side lengths of 5 inches, 12 inches, and 15 inches.
Verifying whether it is right angle or not,
Hypotenuse = 15
perpendicular = 12
Base = 5
Now,
Pythagoras' theorem is given as,
h² = p² + b²
15² = 12² + 5²
225 ≠ 169
Thus, the given triangle is not right angle triangle, because the given information of the triangle does not hold the Pythagoras theorem.
Learn more about Pythagorean triplets here:
brainly.com/question/22160915
#SPJ2
I give brainiest Martin decided to buy 3 bags of grapes weighing 4 1 5 pounds each. How much did all 3 bags of grapes weigh? 1 and one-fifth 7 and one-fifth 12 and one-fifth 12 and three-fifths
Answer:
12 3/5
Step-by-step explanation:
Answer:
12 3/5 can i have brainlist??
(ILL GIVE BRAINLIEST!!)
What is friction and when does it occur?
Answer:
Friction is a force that opposes motion between any surfaces that are touching. Friction occurs because no surface is perfectly smooth. Rougher surfaces have more friction between them. ... Friction produces heat because it causes the molecules on rubbing surfaces to move faster and have more energy
Answer:
It is what happens when 2 things rub 2gether. It occurs when 2 things rub 2gether
Step-by-step explanation:
Brainliest now pls
Vrite and simplify an expression to find he total cost of x pencils , 1 poster board , and (x + 1) notebooks.
Answer:
The expression to find the total cost of x pencils, 1 poster board, and (x + 1) notebooks will be:
[tex]C=xp+b+nx+n[/tex]
Step-by-step explanation:
Consider '[tex]x[/tex]' be the number of pencils which were bought
Consider '[tex]p[/tex]' denotes the cost of [tex]1[/tex] pencil
Consider '[tex]b[/tex]' denotes the cost of [tex]1[/tex] poster board
Consider '[tex]x+1[/tex]' be the number of notbooks which were bought
Consider '[tex]n[/tex]' denotes the cost of [tex]1[/tex] notebook
As we have to find the total cost. Let 'C' denotes the total cost
so the expression becomes
[tex]C=xp+b+\left(x+1\right)n[/tex]
simplifying
[tex]C=xp+b+nx+n[/tex]
Therefore, the expression to find the total cost of x pencils, 1 poster board, and (x + 1) notebooks will be:
[tex]C=xp+b+nx+n[/tex]
Solve for X to the nearest tenth
Answer:
Step-by-step explanation:
[tex]\frac{x}{14}[/tex] = cos32°
x = 14cos32° ≈ 11.9
Does somebody know the answer to this question I’m lost
Answer:
81b + 4 - 14/3b
Step-by-step explanation:
divide by 3b, u can leave the fraction in there
Linda borrows $124 from her brother. He tells her to forget paying back $65 of the loan. How much does Linda owe her brother?
Answer:
$59
Step-by-step explanation:
124 - 65 = 59
Which equation is linear?
A. xy = 6
B. 3x – 2y = 5
C. y = x² – 3x + 1
D. Y2 + 1 = x
Answer:
B
Step-by-step explanation:
3x - 2y = 5
In linear equation each terms degree should be 1.The above is Linear equation with two variables.
Kaley and Tom both work at Publix as cashiers for $7.68 per hour. This week Kaley worked 5 more hours than Tom in overtime. Choose all the expressions that represents the weeks' wages for Kaley if h represents the number of hours Tom worked.
Answer:
X=5+h
Step-by-step explanation:
Wirth 20 points (02.02)A shape is shown on the graph:
Which of the following is a reflection of the shape?
A coordinate plane is shown. A triangle has vertices negative 2 comma negative 1, negative 3 comma negative 3, and negative 1 comma negative 3.
A coordinate plane is shown. A triangle has vertices 1 comma 1, 0 comma negative 1, and 2 comma negative 1.
A coordinate plane is shown. A triangle has vertices negative 3 comma negative 1, negative 2 comma negative 3, and negative 1 comma negative 1.
A coordinate plane is shown. A triangle has vertices negative 3 comma negative 1, negative 3 comma negative 3, and negative 1 comma negative 2.
Answer:
b
Step-by-step explanation:
The reflection of the dots marked is on the opposite side at the same numbers and lines but with a different sign in front of the number.
Answer: b
Step-by-step explanation:
The reflection of the dots marked is on the opposite side at the same numbers and lines but with a different sign in front of the number.
Choose a value that breaks this gem into 5 equal pieces.
25%
50%
10%
20%
200