4/9 is the answer
hope this helps
Question: Two years ago, my age was four times the age of my son, eight years ago my age was ten times the age of my son find the age of my son now This question has already been explained by my friend, but I don't get how she knew she had to get the dad's age in terms of sons age, + 6 to it, and then solve it. Someone please explain
Answer:
My age is 38 years old
My son is 11 years old
Step-by-step explanation:
Represent my current age with x and my son's current age with y
Two years ago;
[tex]x - 2 = 4 * (y - 2)[/tex]
Eight years ago:
[tex]x - 8 = 10 * (y - 8)[/tex]
Simplify both expressions
[tex]x - 2 = 4 * (y - 2)[/tex]
[tex]x - 2 = 4y - 8[/tex]
Add 2 to both sides
[tex]x - 2 +2= 4y - 8 + 2[/tex]
[tex]x = 4y - 6[/tex]
Substitute 4y - 6 in the second equation
[tex]x - 8 = 10 * (y - 8)[/tex]
[tex]4y - 6 - 8 = 10 * (y - 8)[/tex]
[tex]4y - 14 = 10y - 80[/tex]
Collect Like Terms
[tex]4y - 10y = 14 - 80[/tex]
[tex]-6y = -66[/tex]
Divide through by -6
[tex]y = 11[/tex]
Substitute 11 for y in [tex]x = 4y - 6[/tex]
[tex]x = 4 * 11 - 6[/tex]
[tex]x = 44 - 6[/tex]
[tex]x = 38[/tex]
what is the equation of ( 1, 6) and (2, 3) and (4, 15).
Answer:
y = − 3 x + 9
Step-by-step explanation:
What is the equation of this line
Answer:
[tex] y = -\frac{4}{3}x + 4 [/tex]
Step-by-step explanation:
Use the slope-intercept form to write the equation if the line of the graph given.
[tex] y = mx + b [/tex], where,
b = y-intercept, which is where the line cuts across the y-axis = 4.
m = slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 4}{3 - 0} = \frac{-4}{3} [/tex]
Substitute m = ⁴/3 and b = 4, into the slope-intercept formula to get the equation of the line:
[tex] y = mx + b [/tex]
[tex] y = -\frac{4}{3}x + 4 [/tex]
Which statement is NOT correct?
A An exterior angle of a triangle can equal one of the interior angles of the triangle.
B An exterior angle of a triangle can be acute, right, or obtuse.
C A triangle can have two exterior angles that are obtuse angles.
D A triangle can have two exterior angles that are acute angles.
Answer:
A. An exterior angle of a triangle can equal one of the interior angles of the triangle.
Step-by-step explanation:
The triangle can have more than one exterior angles that can be acute or obtuse angles since the triangles angles must sum to 180 degrees. The exterior angle of a triangle is equal to the sum of the interior angles of the triangle.
plz help with problem
Answer:
x=8
Step-by-step explanation:
x+x+x=24
3x=24
x=24÷3
x=8
I need help with this one question ASAP
It takes 14 ppl to play a 42 minutes football game. How many ppl would it take to play a 60 minute football game
Answer:
20 people
Step-by-step explanation:
Step 1:
14/42 = x/60 Equation
Step 2:
42x = 840 Multiply
Step 3:
x = 840 ÷ 42 Divide
Answer:
x = 20
Hope This Helps :)
Answer:
20 people
42/14=3
Then, you divide 60/3=20 people
Select which angle is supplementary to angle 1
Answer:
Angle 2
Step-by-step explanation:
Suplementary - 2 angles which equal 180 degrees
Renee says that y = mx can be rewritten in the form y = mx + b. Is she right? Explain why or why not.
Answer: I did the test i used this and i got it right trust me the answer is below good luck
Step-by-step explanation:
Renee has it right because one of the line passes through the origin the questions remain the same a more extensive version of Y=mx is y=mx +b.
A store orders 22 boxes of light bulbs. Each box has 148 bulbs.
Which is the best estimate of the total number of bulbs the store orders?
A.
20
×
100
B.
20
×
150
C.
25
×
150
D.
25
×
200
Answer:
b
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Can sum1 please help me on this ty!! ❤️✌
Answer:
I need more information for the first graph but I can answer the second one:
So for the X column on the SECOND graph, it should be: 5,6,9,14,15,18,20,24,25
And for the Y column it should be: 25,30,45,70,75,90,100,120,125
Step-by-step explanation:
It is a Pattern the pattern is Multiplying 5
At Southbrook Middle School 42% of the 850 students play only one sport. How many students play only one sport?
Answer:
357
Step-by-step explanation:
Pls mark brainliest :)
Express 48 as a product of its primes.
Answer:
2 x 2 x 2 x 2 x 3.
Step-by-step explanation:
The number 48 expressed as a product of its prime factors is 2 x 2 x 2 x 2 x 3.
Answer:
2 x 2 x 2 x 2 x 3.
Step-by-step explanation:
^^^
What are the solutions of this quadratic equation?
X^2 = 16x – 65
Answer:
x= 4.3125
Step-by-step explanation:
Answer:
x=4+7i and x=4-7i
Step-by-step explanation:
Rewrite the given quadratic equation by completing the square.
x^2-8x=-65
x^2-8x+16=-65+16
x^2-8x+16=-49
(x-4)^2=-49
Now, solve the equation by applying the square root property and isolating x.
(x-4)^2=-49
√(x-4)^2 = √-49
x-4=+7i
x=4+7i
So, the solutions to the given quadratic equation are x+4+7i and x=4-7i.
Steven and Gina each wrote an expression, but only Steven’s expression is equivalent to 4x - 8. What could be Gina’s expression?
Question options:
2(2x - 8)
2(2x - 4)
-(-4x + 8)
4(x - 2)
2(2x - 8) should be Gina's expression as it is not equivalent to 4x - 8.
What is a linear equation?A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.
Given, Steven and Gina each wrote an expression, but only Steven’s expression is equivalent to 4x - 8.
∴ Gina's expressions should be the one that is not equivalent to 4x - 8.
After observing the given options and applying distributive properties we conclude that 2(2x - 8) is Gina's expression as it is 4x - 16.
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how many seconds in 4 minutes? its for PE class-
the answer is 240 seconds :)
give the other person brainliest
Given a 30-60-90 triangle with a hypotenuse of 11 mm solve for the other sides. (Explain)
Answer:
Need a calculator
Step-by-step explanation:
This will be hard to explain without the ability to draw an example.
The one thing you can memorize is SOH - CAH - TOA
This stands for SIN(Opposite/Hypotenuse), COS(Adjacent/Hypotenuse) and TAN(Opposite/Adjacent).
When you know the angles of a right triangle and at least one side length, you can get the length of all the sides.
So a right triangle has two legs (sides) and the hypotenuse. If you use the first angle ( 30 degrees) you can use the formulas above to calculate the side length.
Pick either the SOH or the CAH. Let's use SOH and write out the equation:
SIN(30 degrees) = Opposite Side divided by the Hypotenuse (11mm)
You can solve for the Opposite Side by multiplying both sides of the equal sign with 11mm. You end up with SIN(30 degrees) X 11m = Opposite Side.
So the side directly across from the 30 degree angle should be 5.5mm
You can do the exact same thing with the 60 degree angle.
SIN(60 degrees) = Opposite Side divided by Hypotenuse (11mm) OR
SIN(60 degrees) X 11mm = Opposite Side
This comes out to about 9.5mm
You can check the math by using the other equation CAH
Start with the 30 degree angle and solve for the adjacent side. This is the side that is touching the 30 degree angle. Equation will be
COS(30 degrees) X 11mm = Adjacent Side or about 9.5mm
The other equation will give you the side that is touching the 60 degree angle.
COS(60 degrees) X 11mm = Adjacent Side or 5.5mm
You can also use one last thing to check your math. The Pathagorean Theorem says in a right triangle [tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex] where C is the hypotenuse and A and B are the two sides.
[tex]5.5^{2}[/tex] + [tex]9.5^{2}[/tex] should equal [tex]11^{2}[/tex]. Give or take a few decimal places, it's almost exactly 11 (10.977 to be exact).
what is the property
3• 1/3 =1
Answer:
True
Step-by-step explanation:
3 • 1/3 = 1
~Turn the whole number into a fraction
3/1 * 1/3 = 1
~Multiply
3/3 = 1
~Simplify
1 = 1
Best of Luck!
identify is this is percent increase or percent decrease, then calculate percentage
Last year the Chess club had 30 members. This year the club has 24 members.
Please help asap
Last year the chess club had 30 members. This year the club has 24 members.
Last year, the chess club had 30 members. This year, the club has 24 members. Since this year had less than last year ( 30 > 24), the percent will be decreasing.
To find the percent decrease, you have to use the following formula.
[tex]\frac{Difference}{Original} \times 100[/tex]
Difference refers to the difference between the two numbers, 24 and 30. The difference between 24 and 30 is 6. Original refers to the original number, which is last year's amount of members in the chess group. Therefore, original = 30.
Substitute the numbers into the formula.
[tex]\frac{Difference}{Original} =\frac{6}{30} =0.2[/tex]
To convert the decimal to a fraction, multiply the decimal by 100.
[tex]0.2 \times 100 = 20 \%[/tex]
The answer is the number of chess members decreased by 20%.
____
Since I started off by identifying whether it was decreasing or increasing, I did the work a bit differently. When finding the difference, you would usually subtract 30 from 24, which results in -6. Above I used 6, but if you used -6, you would end up with a result of -20%, which means it decreased by 20%. They bot end up with the same result, but you don't always have to first identify whether it's decreasing or increasing.
____
Answer:
Decreasing
Step-by-step explanation:
The percentages are decreasing because one year the club had 30 members and the present year has 24 members that decreased by 6!
4. A toy rocket is fired into the air from the top of a barn. It's height (h) above the ground in
yards after t seconds is given by the function: h(t) =- 5t^2+ 10t+ 20.
a) What was the maximum height of the rocket?
b) How long was the rocket in the air before it reached its highest height?
Answer:
A) 25
Step-by-step explanation:
You use x= -b/2a in order to get your maximum so x= -10/ 2(-5) and you get x=1. You plug 1 into the function as h(1)=-5(1)^2 + 10(1)+ 20 which gets you 25
A function assigns the values. The time it will take for the rocket in the air before it reached its highest height is 1 second.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A.) The maximum height of the rocket can be found by differentiating the function to get the maximum value of the height funciton.
dh/dt = -5(2t) + 10
Substitute the differentiated value with 0,
0 = -10t + 10
-10t = -10
t = 1
Therefore, the maximum height will be attained when the time is 1 second.
Now, substitute the value of t as 1 second to get the maximum height,
h(t) =- 5t²+ 10t+ 20
h(1) =- 5(1)² + 10(1)+ 20
h(1) = -5 + 10 +20
h = 25 yards
Hence, the maximum height of the rocket is 25 yards.
B.) The time it will take for the rocket in the air before it reached its highest height is 1 second.
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Solve for v in the proportion.
Answer:
v=30
Step-by-step explanation:
100/90 = 1.1
1.1 times 27 is 30
Answer:
V = 30
Step-by-step explanation:
[tex] \frac{27}{90} = \frac{v}{100} \\ \\ cross \: multiply \: \\ \\ \\ 27 \times 100 = 90 \times v \\ \\ 2700 = 90v \\ \\ 30 = v[/tex]
how much of earths surface is covered by earth ? write answer in scientific notation
Answer:
100% of earth is covered in earth, I'm starting to think you mistyped the question, cause it makes no sense
Ms.smith has 132 stickers to give to her students. she has 25 students. if she gives the same number of stickers to each of her students how many stickers will she have left over?
Answer:
Step-by-step explanation:
If Ms. Smith hands out 130 of her stickers between all 5 of her students each will have 26. Which means she will have 2 remaining
16
Chompy has $25 to purchase a fishing pole and some fishing balt. The fishing pole costs $12.50 and the fishing bait costs $0.78 each.
Create an inequality that Chompy could use to find out how much fishing bait he can buy.
The number of fishing bait he can buy will be 16.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Chompy has $25 to purchase a fishing pole and some fishing bait. The fishing pole costs $12.50 and the fishing bait costs $0.78 each.
The expression will be formed as below:-Let the number of fishing bait is x.
12.50 + 0.78x = 25
0.78x = 25 - 12.5
0.78x = 12.5
x = 12.5 / 0.78
x = 16
Therefore, the number of fishing bait he can buy will be 16.
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helpppppppppp please
Answer:
-2, 4, 6, 8
6, 4, 2 ,0
Suppose the manager of a gas station monitors how many bags of ice he sells daily along with recording the highest temperature each day during the summer. The data are plotted with temperature, in degrees Fahrenheit (°F), as the explanatory variable and the number of ice bags sold that day as the response variable. The least squares regression (LSR) line for the data is ????ˆ=−125.30+2.32???? . On one of the observed days, the temperature was 82 °F and 68 bags of ice were sold. Determine the number of bags of ice predicted to be sold by the LSR line, ????ˆ , when the temperature is 82 °F. Enter your answer as a whole number, rounding if necessary.
__/5=9 the / is a divide sign
Answer:
45
Step-by-step explanation:
45/5=9
Sam wants to earn at least a B in Math. He earned the following scores on tests so far: 82%, 70%, 72%, and 80%.
Which inequality below can be used to solve and determine what Sam needs to earn on the final exam in order to have at least a B-average in the class?
Answer:
Sam has to get at least a 96 in order to pass the class with a B.
Step-by-step explanation:
To find this you use mean in this format:
Test Scores + x (Exam Grade Needed) / # of Tests ≥ 80 (Which Is a B)
Substitute:
82 + 70 + 72 + 80 + x / 5 ≥ 80
Add:
304 + x / 5 ≥ 80
Get Rid of the Denominator (Multiply Both Sides By 5):
(5) 304 + x / 5 ≥ 80 (5)
Multiply:
304 + x ≥ 400
Isolate x (Subtract 304 From Both Sides):
x ≥ 96
This means that Sam has to get at least (Greater than or equal to) a 96 in order to pass with a B average.
6x - 2 - 3x = 16 steps ?
Answer:
i am very sure but i think this the answer
Step-by-step explanation:
3x • (2x - 1)
Plz help me I’ll give brainliest
Answer:
5/1
Step-by-step explanation:
