Answer:
Currently, Alex is 32 years old. His son is 8 years old,
Solution: denote the age of Alex’s son as ‘x’. Alex’s age is 4x
In 16 years, Alex’s age will be 4x + 16. His son’s age will be x + 16
4x + 16 = 2(x+16). solving this equation yields:
4x + 16 = 2x + 32. Grouping like terms algebraically gives: 2x = 16
Thus x = 16/2 = 8. 4(8) = 32
Answer:
Alex is 24, Bernard is 12, and Calvin is 16.
Step-by-step explanation:
Let Alex's age be A, Bernard's age be B, and Calvin's age be C.
We can write equations to model each situation.
Alex is twice as old as Bernard. In other words:
[tex]A=2B[/tex]
Calvin is eight year younger than Alex. In other words:
[tex]C = A - 8[/tex]
And the sum of all their ages is 52. Therefore:
[tex]A + B + C = 52[/tex]
This is a triple system of equations. We can solve it by substitution. Substitution A and C:
[tex](2B)+B+(A-8)= 52[/tex]
Substitute:
[tex]2B+ B + (2B) -8 = 52[/tex]
Combine like terms:
[tex]5B-8=52[/tex]
Solve for B. Add 8 to both sides:
[tex]5B = 60[/tex]
And divide both sides by five:
[tex]B=12[/tex]
Therefore, Bernard is 12 years old.
Since Alex is twice as old as Bernard, Alex must be 24 years old.
And since Calvin is eight years younger than Alex, Calvin is 16.
In conclusion, Alex is 24, Bernard is 12, and Calvin is 16.
Determine the decimal equivalent of 5 over 8
Answer:
3.125
Step-by-step explanation:
We know that
258
is the same as
25÷8
Then using
Long Division for 25 divided by 8
and rounding to a Max of 3 Decimal Places gives us
=3.125
Calculate the HCF of 8a³-27, 4a²-9 and 4a²-12a+9
[tex] \: \: \: \: \: [/tex]
first add
(3a²-5a+5)+(a³-5a²+8)
=3a²-5a+5+a³-5a²+8
=a³-2a3a²-5a²+5+8
=a³-2a²+13
and now,
substract a³-2a²+13 from a²-4a²-9
=7a²-4a²-9-(a³+13)
=7a²-4a²-9-a³+2a²-13
= a³+7a²-4a²+2a²-9-13
=-a³+5a²-22
hope it helpsplease pick the right anwers no bots please
Answer:
1. 2/3
2. 0
3. 7/2
4. -2
5. -2
6. 1
7. -4/3
8. Undefined
9. 8
10. 9/5
In a survey, 3 out of 20 students were left-handed. Based on this information, if 300 students were interviewed, how many of them could be expected to be left-handed?
Based on the information given, from the fraction, it can be noted that the number of left-handed people will be 45.
From the information given, it was stated that in the survey, 3 out of 20 students were left-handed.
Therefore, in a population of 300 people, the number of left handed people will be:
= 3/20 × 300.
= 3 × 15
= 45
There are 45 left handed people.
Learn more about fractions on:
https://brainly.com/question/13763238
ANSWER ALLL PLEASEEEEEEEEE ILL GIVE BRAINLIST !!!!!!!!!
Answer:
question 3 is $9.99
question 4 I believe is the third option
Use each model to predict the life expectancy of residents of a country for which the average annual income is $80,000
The life expectancies of residents of a country for which the average annual income is $80,000 for the three models are 12309.9352, 172.2436 and 4828.1393
The life expectancies of the models are given as:
[tex]y =69.9352 + 0.1530\times (income)[/tex] --- model 1
[tex]y =4.2436 + 0.0021\times (income)[/tex] --- model 2
[tex]y =4.1393 + 0.0603\times (income)[/tex] --- model 3
Given that the average annual income is $80,000;
We simply substitute 80000 for income in the equations of the three models.
So, we have:
Model 1
[tex]y =69.9352 + 0.1530\times (income)[/tex]
[tex]y =69.9352 + 0.1530\times 80000[/tex]
[tex]y =12309.9352[/tex]
Model 2
[tex]y =4.2436 + 0.0021\times (income)[/tex]
[tex]y =4.2436 + 0.0021\times 80000[/tex]
[tex]y =172.2436[/tex]
Model 3
[tex]y =4.1393 + 0.0603\times (income)[/tex]
[tex]y =4.1393 + 0.0603\times 80000[/tex]
[tex]y =4828.1393[/tex]
Hence, the life expectancies are 12309.9352, 172.2436 and 4828.1393
Read more about linear models at:
https://brainly.com/question/8609070
help me please help me help
Answer:
18
Step-by-step explanation:
The question is pretty much asking to find the LCM of the denominators, which is the LCD, Least Common Denominator
First list out the two numbers, then list its multiples,
6: 6, 12, 18, 24
9: 9, 18, 27
since both of them have 18, and its the least, that is the LCD/LCM
A couple of friends decide to race each other. Liam can run 5 meters per second, and Grace
can run 8 meters per second. Because he is slower, Liam also gets a head start of 12 meters.
Shortly after they start running, Grace will catch up to Liam. How far has Grace run at that
time? How long will that take?
Answer:
32 m
4 sec
Step-by-step explanation:
just trust me i did the math
Answer:
i agree with the other person
Step-by-step explanation:
if p =5 q =3 find the value of 9p2²- 5q²
Answer:
Answer is in the attached file.
what set does -15/2 belong to
Answer:
Rational numbers
Step-by-step explanation:
any number that can be written as the ratio of two integers and that is terminating or repeating in decimal form
hoped that helped
Answer:
Rational numbers
Step-by-step explanation:
These numbers are numbers that can be expressed as a ratio of two integers and includes decimals that terminate (they end like 5.1 or 6.349) or repeat (such as 5.33333333333...)
Bu sorunu nasil olur?
how can i solve this problem?
Answer:
i can't see your handwriting
HELP!!!
The difference of x and 15 is 62.
Answer:
x=77
Step-by-step explanation:
x-15 = 62
x = 62 + 15
x = 77
x=77. I hope this helps.
What is solution for 7y+9+6y=46
Answer:
combine like terms
7y + 6y
13y + 9
Step-by-step explanation:
here is the solution
13y + 9
A restaurant is considering reducing its meal sizes, because it noticed many of its customers cannot finish their meals. The manager decided to weigh the left-over portion of the meals before putting them in to-go containers. The line plot displays the weights of the left-over portions of the meals. If the left-over portions are divided equally among the customers, how much food would each customer take home? Weight of Left-over Meals A. B. C. D.
Answer:
1/2
Step-by-step explanation:
You need to add all the fractions up to get 1/2 is what food the costumers brought home
Answer:
1/2
Step-by-step explanation:
i got it correct!!
Factor out the GCF
4g^3-6g+20g^2
Answer:
[tex]\sf 2g(2g ^2-3+10g)[/tex]Step-by-step explanation:
[tex]\sf 4g^3-6g+20g^2[/tex]
GFC: 2g
We'll Write the GCF first, then, divide each term by the GCF.
[tex]\sf 2g(\frac{4g^3}{2g}-\frac{6g}{2g} +\frac{20^2}{2g} )[/tex]
[tex]\sf 2g(2g ^2-3+10g)[/tex]
Solve 12 + 5= 7.
A. x = -2 and x = 12
B. x = -2 and x = -12
C. X = 2 and x = -2
O D. x = 2 and x = = -12
Answer:
if you mean 12-5=12 this answer is x=144
here is the step by step explanation.
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x/12-5-(7)=0
Step by step solution :
STEP
1
:
x
Simplify ——
12
Equation at the end of step
1
:
x
(—— - 5) - 7 = 0
12
STEP
2
:
Rewriting the whole as an Equivalent Fraction :
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 12 as the denominator :
5 5 • 12
5 = — = ——————
1 12
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x - (5 • 12) x - 60
———————————— = ——————
12 12
Equation at the end of step
2
:
(x - 60)
———————— - 7 = 0
12
STEP
3
:
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 12 as the denominator :
7 7 • 12
7 = — = ——————
1 12
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
(x-60) - (7 • 12) x - 144
————————————————— = ———————
12 12
Equation at the end of step
3
:
x - 144
——————— = 0
12
STEP
4
:
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
x-144
————— • 12 = 0 • 12
12
Now, on the left hand side, the 12 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
x-144 = 0
Solving a Single Variable Equation :
4.2 Solve : x-144 = 0
Add 144 to both sides of the equation :
x = 144
One solution was found :
x = 144
Can someone please help me I will mark brainliest please.
Answer:
GE = 8 inches
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, then
GE = 2 × GH = 2 × 4 = 8 inches
Write... the number 7 as a fraction with the denominator 3.
Answer:
[tex]\huge\boxed{7=\dfrac{21}{3}}[/tex]
Step-by-step explanation:
[tex]7=\dfrac{7}{1}=\dfrac{7\cdot3}{1\cdot3}=\dfrac{21}{3}[/tex]
Answer:2[tex]\frac{0.3}{3}[/tex]
Step-by-step explanation:
A system of linear equations includes the line that is created by the equation Y = 0.5x-1 and the line through the
points (3, 1) and (-5, -7), shown below.
What is the solution to the system of equations?
A. (-6, -4)
B. (0, -1)
C. (0, -2)
D. (2, 0)
Step-by-step explanation:
the answer I think D should be
Answer:
The answer is (2,0)
Step-by-step explanation:
We know one equation [tex]y =0.5x - 1[/tex] and the other points (3, 1) and (-5, -7).
For the first step, we need to graph the equation we know, since the points already plotted, and therefore have its own line.
As we can tell it crosses over points (2,0) making this equation having exactly one solution.
Making the correct awnser D; (2,0)
geometry - please help
solve for x & y
Hope it helps.
Don't forget to click the Brainliest button if you like my answer and if you have any query, feel free to ask in the comment section.
Please help with this !
Answer:
16 m
Step-by-step explanation:
12² + b² = 20²
I hope this helps!
Answer:
b = 16 m
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
b² + 12² = 20²
b² + 144 = 400 ( subtract 144 from both sides )
b² = 256 ( take square root of both sides )
b = [tex]\sqrt{256}[/tex] = 16 m
Write the following statements in the form of equations.
c. One third of a number plus 7 is 26.
Answer:
Brainless please?
Step-by-step explanation:
1/3x +7=26
May is going to the grocery store to buy bananas and oranges. The bananas can only be purchased in groups of 65 and the oranges can only be purchased in groups of 5. If May wants to buy the same amount of bananas and oranges, then what is the lowest quantity of bananas that May can buy?
Answer: 1 group 65 bananas
Step-by-step explanation: We want the same number of bananas as oranges so 65 is divisible by 5 which is 13 5s to make 65.
PLEAS ASAP
i wanna sleep
im young
30 POINTS
Answer:
325.5 i think
Step-by-step explanation:
PLEASE HELP ME
A rectangular plot of land is 90 ft long and 105 ft wide. On a map, the length is 3.6 in. Identify the width on the map.
Answer:
4.2 in
Step-by-step explanation:
90÷3.6 = 25
The plot of land is 25 times bigger than the map's scale. You have to divide 105 by 25 to get the same scale as the length (3.6 in.)
105÷25 = 4.2
Please give brainliest if that helped at all!
Please help quick ..
What distance was an object moved by a force of 35 N if the work was 665 joules?
19m
23,275m
630m
22m
Answer:
19m, A
Step-by-step explanation:
Work = Force x distance
so rearrange to get:
distance = Work ÷ Force
distance = 665÷35
distance = 19m
Using the slope formula, find the slope of the line through the given points.
(9.7) and (6.4)
What is the slope of the line? Select the correct choice below and if necessary, fill in the answer box to complete your choice.
O A. The slope of the line is (Type an integer or a simplified fraction.)
OB. The slope of the line is undeined.
Help pls
Answer: Start with y2-y1/x2-x1
-4+7/-6+3
Answer=2.5 or 5/2
DONT TRUST ME THOUGH
Step-by-step explanation:
pls help everyone this is due tomorrow at 8 am <3
Answer:
e=19.6h
Step-by-step explanation:
If in 21 hours, she earns 411.60 dollars, then we need to find how much she makes in ONE hour.
21 h 1 hour
--------- = ------------------
411.60 dollars xdollars
To get from 21 to 1, I would have to divide by 21, right? So, do the same for the denominators.
411.60 / 21= $19.6
Now, since we know the unit rate, we can make an equation!
e=19.6h
Solve.
−4.8x=−4
What is the solution to the equation?
Enter your answer as a simplified fraction in the box.
x =
-4.8x=-4
The simplified fraction is 5/6
How I solved it:
-4.8 = -24/5 in fraction form.
-24/5 × 5/6 = -120/30
-120/30= -4
Answer:
-4
Step-by-step explanation:
can someone help with this
Answer:
A: 9x = 0
Step-by-step explanation:
Description of it's end behavior as * Gets larger 8. Match each rational function with a larger. The value of the expression gets A.9x closer and closer to 0. : 2, The value of the expression gets closer and closer to 1. 2 3. The value of the expression gets 92+ closer and closer to 9. E. 9442 4. The value of the expression is 99 98+2 5. The value of the expression gets larger and larger in the positive direction. 6. The value of the expression gets larger and larger in the negative direction:
