Answer:
Age of Jose = 5 years
Age of Adrian = 13 years
Step-by-step explanation:
Let:
Age of Jose = x
Age of Adrian = x+8
After 3 years
Age of Jose = x+3
Age of Adrian = x+8+3 = x+11
Now, we are given, in 3 years he will be twice as old as his brother.
So, we can write
Age of Adrian = 2 (Age of Jose)
x+11 = 2(x+3)
x+11=2x+6
2x-x=11-6
x=5
So, we get value of x = 5
Now, the present ages will be:
Age of Jose = x = 5 years
Age of Adrian = x+8 = 5+8 = 13 years
Adrian is 8 years older than his brother, Jose. In 3 years, he will be twice as old as his brother. Find the present age of each.
Answer:Jose is currently 5 years old.Adrian is currently 13 years old.Solution and Explanation:Let's represent the age of Jose as [tex]\large\rm x[/tex]
According to the problem, Adrian is 8 years older than Jose, so Adrian's age can be represented as [tex]\large\rm x + 8[/tex].
In 3 years, Adrian's age will be [tex]\large\rm (x + 8) + 3[/tex] and Jose's age will be [tex]\large\rm (x + 3)[/tex].
The problem also tells us that in 3 years, Adrian will be twice as old as Jose:
[tex]\Large\begin{aligned}\rm{(x + 8) + 3}& =\rm{2(x + 3)}\\\rm{x + 11}&=\rm{2x +6}\\\rm{\cancel{x\red{-x}} + 11}&=\rm{2x \red{-x} + 6}\\\rm{11}&=\rm{x + 6}\\\rm{11\red{-6}}&=\rm{x + \cancel{6\red{-6}}}\\\bold{5}&=\rm{x}\end{aligned}[/tex]
So Jose is currently 5 years old.
To find Adrian's age, we can use the fact that Adrian is 8 years older than Jose:
[tex]\Large\begin{aligned}\rm{Adrian's\: age}& =\rm{x + 8}\\\rm{Adrian's\: age}&=\rm{\red{5} + 8}\\\rm{Adrian's\: age}&=\bold{13}\end{aligned}[/tex]
Therefore:
Jose is currently 5 years old.Adrian is currently 13 years old.[tex]\\\\[/tex]
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Question 3
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B0/2 pts
A friend has a 81% average before the final exam for a course. That score includes everything but
the final, which counts for 20% of the course grade.
What is the best course grade your friend can earn?
What is the minimum score would your friend would need on the final to earn a 75% for the course?
Give answers accurate to at least one decimal place.
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Answer:
The best course grade your friend can earn is 0.848 = 84.8%.
The minimum score would your friend would need on the final to earn a 75% for the course is of 0.51 = 51%.
Step-by-step explanation:
This is a weighed average problem, in which we multiply each grade by its weight.
We have that:
In 80% of the course, the friend has a grade of 81%.
In the other 20%, he will have x.
What is the best course grade your friend can earn?
This will happen if he earns 100% = 1 on the final test. So
[tex]G = 0.8*0.81 + 0.2*1 = 0.848[/tex]
The best course grade your friend can earn is 0.848 = 84.8%.
What is the minimum score would your friend would need on the final to earn a 75% for the course?
This is x, when the grade is 0.75. So
[tex]0.75 = 0.8*0.81 + 0.2x[/tex]
[tex]0.2x = 0.75 - 0.8*0.81[/tex]
[tex]x = \frac{0.75 - 0.8*0.81}{0.2}[/tex]
[tex]x = 0.51[/tex]
The minimum score would your friend would need on the final to earn a 75% for the course is of 0.51 = 51%.
What is the x-coordinate of point B? Write a decimal coordinate.
ch
.
B
3
2
1 2 3 4 5 x
-5 4 3 2 1
2+
3t
PLS ANSWEE
The difference between the x-coordinate of point A and the x-coordinate of point B is -9
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that,
the point B: (14,4)
and Point A: (5,4).
The x coordinate of B is 14 while that of A is 5.
so, we get,
if the difference is x units,
then it can be expressed as equation,
x = 5 - 14
now,
The difference between the x-coordinate of point A and the x-coordinate of point B is
= 5 - 14
= -9
Hence, The difference between the x-coordinate of point A and the x-coordinate of point B is -9
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Complete question:
Point B: (14,4)Point A: (5,4)What is the difference between the x-coordinate of point A and the x-coordinate of point B?
Compare the values.
9 × 10^2 is _____ times as much as 3 x 10^-2.
A) 6 x 10^4
B) 3 x 10^-4
C) 3 x 10^4
D) 6 x 10^0
please i need help **Will mark BRAINLIEST**
PLEASE I NEED ANSWERS FAST ILL GIVE BRAINLIEST
Answer:
4. C: 98 degrees because the angles are consecutive angles
5. E: None of the above
Explanation: 102 degrees because the angles are corresponding angles
6: C: 103 degrees is vertical to angle B and Angle B is corresponding to angle X.
Step-by-step explanation:
Answer:
4. C, 5. E, 6. C
Step-by-step explanation:
4.
Angles x and 82 degrees are supplementary (add up to 180).
x = 180 - 82 = 98
These angles are consecutive interior angles (they're on the inside).
5.
Angles x and 102 degrees are the exact same.
These angles are corresponding angles. So it's none of these, not vertical or alternate interior.
6.
103 degrees is vertical to <b and <b is corresponding to <x.
Hope this helps!
(2x-4)+(5x-13)+(x+4)
Answer:
the answer is going to be 8x-13
Answer:
8x-13
Step-by-step explanation:
Combine all like terms
2x+5x+x=8x
-4-13+4=-13
8x-13
What would be the correct order of operations to evaluate the following expression?
Multiply, Multiply, Add, Subtract
Multiply, Add, Subtract, Subtract
Multiply, Subtract, Add, Add
Multiply, Subtract, Add, Subtract
Answer:
d or 4Step-by-step explanation:
Answer:
Multiply,Subtract,Add,Subtract
Step-by-step explanation: Easy, just think
Which statement about 4(x-3) is true?
O A. 4(x-3) has three terms.
OB. 4(x-3) is a sum.
O C. 4(x - 3) is a product.
O D. 4(x-3) has two variables.
A psychologist wants to know if the difficulty of a task influences our estimate of how long we spend working at it. She designs two sets of mazes that subjects can work through on a computer. Once set has easy mazes and the other has hard mazes. Subjects work until told to stop (after 6 minutes, but subjects do not know this). They are then asked to estimate how long they worked. The psychologist has 30 students available to serve as subjects.
Describe an experiment using a completely randomized design to learn the effect of difficulty on estimated time.
Solution :
It is given that a psychologist wants to determine the difficulty of the task influences on the estimate of how long people spend working on it.
Now we have to describe a experiment by using a completely randomized design and learn the effect of the difficulty on the estimated time is by randomly assigning 15 students to a Group 1 of easy mazes and other 15 students to the second group 2 of hard mazes. And then we compare the time estimates of the two groups.
I will give brainiest to whoever answers correctly !!
Answer:
a) $1.40 b) $9.35 c) $57.50
Step-by-step explanation:
a) The tax on the burger will be 3% of the cost of the burger.
This means 0.03 of 46.75 (0.03 x 46.75) = $1.40 tax
b) 20% of pre tax bill as tip would be:
0.20 of 46.75 (0.20 x 46.75) = $9.35 tip
c)Total cost of dinner including tax and tip would be:
Original Cost + Tax + Tip
= 46.75 + 1.40 + 9.35
= $57.50 total
Order from least to greatest: 0.84, 0.084, 84, 8.4
Group of answer choices
Answer:
0.084 , 8.4, 0.84, 84 sorry if im wrong
Step-by-step explanation:
The diameter of the circle above is 20 cm. What is the circumference of the circle? (Use = 3.14.)
Step-by-step explanation:
diameter=20/2,radius=10
circumference of circle=2×pi×radius
circumference of circle=2×3.14×10
circumference of circle=62.8
A. Dos números enteros positivos cuya diferencia sea 42
B. Dos números enteros negativos cuya diferencia sea 9
C. Dos números enteros de diferente signo cuya diferencia sea 120
Answer:
ne hamla que estas no habla espanol
Step-by-step explanation:
que
which ratio is equivalent to 4:5
10/15
4/10
16/20
15/8
Answer:
16/20
Step-by-step explanation:
16/20 = (4*4)/(4*5) = 4/4*4/5 = 4/5
Convert the following repeating decimal into a fraction
_
0.16
Answer: 0.16 converted to a fraction is 4/25
Can someone help me with this please
Answer:
the picture is upside down
Step-by-step explanation:
a bakery used 25% less butter this month than last month.
The bakery used 240 kilograms of butter this month.
How much did it use last month?
Answer:
300kg
Step-by-step explanation:
Steve began a baseball card collection by purchasing some cards. He increased the number of cards in the collection by a constant amount each week after that. The table below shows the total number of cards in the collection at the end of several weeks. How many cards did Steve initially purchase to begin his collection
Answer:95
Step-by-step explanation:
95x3=285
There are 95 cards did Steve initially purchase to begin his collection.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Steve began a baseball card collection by purchasing some cards.
And, He increased the number of cards in the collection by a constant amount each week after that.
Now, In 3 weeks he collect 285 cards.
Hence, Number of cards to collect in initially is,
⇒ 285/3
⇒ 95
Thus, There are 95 cards did Steve initially purchase to begin his collection.
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what is 8 divided by 874.....for my little sister
a frame holds a picture that is 15 inches long and x inches wide. The frame border is 3 inches wide around the picture. what expression represents the are of the frame border
9514 1404 393
Answer:
border area = 6x +126
Step-by-step explanation:
The dimensions of the picture with its frame will be ...
(15 +2×3) long by (x +2×3) wide
The border area is the difference between the picture overall frame area and the picture area:
border area = (15+6)(x+6) -(15x) = 21x +126 -15x
border area = 6x +126
Answer:
hvjv
Step-by-step explanation:
which is an equation for the line shown?
y=3
x=3
y=-3
x=-3
Answer:
x+-3
Step-by-step explanation:
Two less than the sum of a number and six is equal to the product of
the number and three. What is the number?
Let's use the variable, x, to represent the unknown number.
We can represent the words, "the sum of a number and six, as : x + 6
The words, " 2 less than the sum", can be represented as: x + 6 - 2
The words, "the product of the number and three", can be written as: 3x
Now create an equation using "is equal to" to join the expressions:
x + 6 -2 = 3x
Now combine like terms and use inverse operations to solve for x:
x + 6 -2 = 3x
x + 4 = 3x
x + 4 - x = 3x - x
4 = 2x
4/2 = 2x/2
2 = x
The unknown number is 2
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!
An understanding of statistics is necessary in any job. The use of statistics can help provide answers to many questions. Write a question you think that statistics may help you answer and explain why statistics can help provide an accurate answer.
Answer:
Statistics can help solving data quantitative analysis data.
Step-by-step explanation:
Statistics can help solving data quantitative analysis data.
Examples of questions, that statistics can help provide answers to
What is the measure of central tendency, that is representative of entire statistical data.Ans : It can be found out by calculating mean , median , mode
How widely dispersed or spread off is the dataAns : It can be found out by calculating standard deviation, variance
An example of a question statistics can help you answer is: What is are the socio-economic characteristics of people living in Texas?
Using frequency count and percentage, we can determine the gender, age distribution, occupation and other demographics of the population of people living in Texas.
What is Statistics?Statistics involves the collection, collation, analysis, and interpretation of data to form valid conclusions about problems and give answers to questions raised.We have descriptive and inferential statistics as the two types of statistics.For descriptive statistics, frequency count and percentage can be used to describe the socio-economic characteristics of a population.Therefore:
An example of a question statistics can help you answer is: What is are the socio-economic characteristics of people living in Texas?Using frequency count and percentage, we can determine the gender, age distribution, occupation and other demographics of the population of people living in Texas.Learn more about statistics on:
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Solve the equation 8b+7 (2b + 4) = 94
b= ltype your answer...
Answer:
b = 3
Step-by-step explanation:
A bakery sells pastries in boxes of 7 each. If the bakery has 27 pastries, how many boxes can be filled?
Answer:
3 with a few left over so 4
Step-by-step explanation:
A shade of green paint is made by mixing blue paint and yellow paint in the ratio of 4 to 3. How many pints of blue paint and yellow
paint are needed to make 21 pints of the green paint?
Answer:
[tex]Blue = 12[/tex]
[tex]Yellow = 9[/tex]
Step-by-step explanation:
Given
[tex]Blue : Yellow = 4 : 3[/tex]
Required
Determine the number of pints of each to make 21 of green paints
First, calculate the total ratio.
[tex]Total = 4 + 3[/tex]
[tex]Total = 7[/tex]
The blue and the yellow pint can be represented individually as:
[tex]Blue = \frac{4}{7} * Green[/tex]
[tex]Yellow = \frac{3}{7} * Green[/tex]
Number of blue paint calculated last week is:
[tex]Blue = \frac{4}{7} * 21[/tex]
[tex]Blue = {4} * 3[/tex]
[tex]Blue = 12[/tex]
[tex]Yellow = \frac{3}{7} * Green[/tex]
[tex]Yellow = \frac{3}{7} * 21[/tex]
[tex]Yellow = {3} * 3[/tex]
[tex]Yellow = 9[/tex]
Dan says that all quadrilaterals are parallelograms. Tom says that it is not true. Explain who is correct??
Answer:
Tom is correct
Step-by-step explanation:
Quadrilaterals are polygons that have four sides.
Square, rectangle, parallelogram, kite, rhombus are all examples of quadrilateral
Parallelogram is a type of quadrilateral with opposite sides equal and parallel
how many miles does a runner travel in a 10-kilometer run? (1 mile = 1.6 km)
Answer:
6.25 miles
Step-by-step explanation:
To find how many miles they ran, divide the number of kilometers by 1.6
10/1.6
= 6.25
So, they ran 6.25 miles
Kathy owned several real estate properties. She had to pay federal taxes on her income and property taxes on the properties. What would be another major cost of her investment?
A.
bank fees
B.
investment broker fees
C.
renovation and maintenance costs
D.
utilities
Answer:
The correct answer is C. Renovation and Maintencance costs
Step-by-step explanation:
#Plato :)
The major cost of her investment would be C. Renovation and Maintencance costs.
What is income tax?Income tax is a tax applied on individuals or entities concerning income or profit earned by them.
The amount of additional tax paid for each new dollar of income received is known as; the marginal tax rate.
The Total taxes paid is divided by total income earned is the average tax rate. With a marginal tax rate of 10 percent, then the tax would be deducted from the following dollar of income at a rate of 10%.
Given that Kathy owned several real estate properties. She had to pay federal taxes on her income and property taxes on the properties.
The major cost of her investment would be C. Renovation and Maintencance costs.
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For the data set 4, 5, 10, 11, 15, the mean, x, is 9. What is the standard deviation?
Answer: A
Step-by-step explanation:
4.1
