Mathematics High School

Julio's father is 4 times as old as Julio. The sum of their ages is no less than 55.

What is the youngest age Julio can be?


Enter your answer in the box.

years

Answers

Answer 1
Julio = j, father = f
f = 4j, j+f = 55, j + 4j = 55, 5j = 55, j = 11
So youngest Julio can be is 11 years old.

Related Questions

the diagram below shows a rectangle inside a regular hexagon . the apothem of the hexagon is 19.05 units . to the nearest square unit . what is the area of the shaded region
A. 1257
B.861
C.442
D.1653

Answers

The correct answer is: B 861

Answer:

B. 861.

Step-by-step explanation:

In the figure attached, you can observe that the shaded area can be found by calculating the difference between the area of the regular hexagon and the area of the rectangle inside.

The area of a regular hexagon is defined as

[tex]A_{hexagon} =\frac{Pa}{2}[/tex]

Where [tex]P[/tex] is the perimeter and [tex]a[/tex] is the apothem.

By given, we know that the side of the hexagon is 22 units.

Remember that the perimeter is the sum of all sides, in this case would be

[tex]P_{hexagon}=22(6) =132[/tex].

The perimeter of the hexagon is 132 units.

Therefore, the area is

[tex]A_{hexagon} =\frac{132(19.05)}{2}=\frac{2514.6}{2}=1257.3 u^{2}[/tex]

On the other hand, the area of the rectangle is defined as

[tex]A_{rectangle}=bh[/tex], where [tex]b[/tex] is the base and [tex]h[/tex] is the height. We know, by given

[tex]b=22\\h=18[/tex]

Replacing these values, we have

[tex]A_{rectangle}=bh=22(18)=396 u^{2}[/tex]

As we said before, the shaded are is defined by the following difference

[tex]A_{shaded}=A_{hexagon}-A_{rectangle}[/tex]

Replacing each area, we have

[tex]A_{shaded}=A_{hexagon}-A_{rectangle}\\A_{shaded}=1257.3u^{2} -396u^{2}=861.3 u^{2}[/tex]

Therefore, the right answer is B. 861.

During a certain period of time, a car can cover the distance of 120 miles, going at an average speed of 55 mph. What distance over the same period of time would cover a truck, going at an average speed of 44 mph?

Answers

Remember that distance equals rate multiplied by time, or put more compactly, [tex]d=rt[/tex]

Here, we're looking for the distance traveled by a truck, given only its rate, 44 mph. We're also given that both of the vehicles travel for is the same. This lets us use the car's information to find that time, which we can then use to find the distance traveled by the truck.

For the car, our distance is 120 miles, our rate is 55 mph, and our time is unknown; let's call that value [tex]t[/tex]. We have:

[tex]120=55t[/tex]

Dividing both sides by 55, we find:

[tex] \frac{120}{55}=t\\\\ \frac{24}{11}=t[/tex]

So our time is 24/11 hours - roughly 2 hours and 13 minutes. We'll use the 24/11 value to get as exact an answer as we can, though.

For the truck, we know its rate and its time (24/11 hours), but we don't know its distance. We'll call it [tex]d[/tex]. Putting in our new value for time, we have:

[tex]d=44 \big(\frac{24}{11}\big) \\ d=4(24)\\ d=96[/tex]

So, in 24/11 hours, the truck will have traveled 96 miles traveling at its average speed.

Simplify the expression x^2+3x-28/x^2-7x+12

Answers

X^2 + 3x - 28 factors to (X+7)(X-4)
X^2  - 7X + 12 factors to (X-4)(X-3)
Now we see that the equation is [(X+7)(X-4)]/[(X-4)(X-3)]
By dividing the top and bottom by (X-4), we see that the equation equals (X+7)/(X-3).

Answer:

[tex]\frac{x+7}{x-3}[/tex].

Step-by-step explanation:

We have been given an expression. We are asked to simplify our given expression.

[tex]\frac{x^2+3x-28}{x^2-7x+12}[/tex]

Let us factor numerator and denominator by splitting the middle term.

[tex]\frac{x^2+7x-4x-28}{x^2-4x-3x+12}[/tex]

[tex]\frac{(x^2+7x)+(-4x-28)}{(x^2-4x)+(-3x+12)}[/tex]  

Factor out GCF of each group:

[tex]\frac{x(x+7)-4(x+7)}{x(x-4)-3(x-4)}[/tex]

[tex]\frac{(x+7)(x-4)}{(x-4)(x-3)}[/tex]

Cancel out common factor [tex](x-4)[/tex]:

[tex]\frac{(x+7)}{(x-3)}[/tex]

Therefore, the simplified form of the given expression would be [tex]\frac{x+7}{x-3}[/tex].

The line passing through the points (-7,4) and (-23,y) is parallel to a line that has a slope of -5/8. What is the value of y?

Answers

two lines that are parallel to each other, will have the same slope.

so if this line is parallel to another with a slope of -5/8, the slope of this line is also -5/8 then.  We also know that it passes through -7, 4 and -23, y, let's do some checking.

[tex]\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ -7}}\quad ,&{{ 4}})\quad % (c,d) &({{ -23}}\quad ,&{{ y}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{y-4}{-23-(-7)}\implies \cfrac{y-4}{-23+7} \\\\\\ \cfrac{y-4}{-16}=\boxed{-\cfrac{5}{8}}\implies 8y-32=80\implies 8y=112 \\\\\\ y=\cfrac{112}{8}\implies y=14[/tex]

What is a 401(k) plan? an investment plan offered by an insurance company a retirement plan offered by employers a personal retirement plan

Answers

It is retirement plan in which you donate a certain amount of your paycheck to your retirement and you decide the contribution percentage
a retirement plan offered by employers

It takes 69 pounds of seed to completely plant an 8 -acre field. how many acres can be planted per pound of seed? math

Answers

Hello There!

In this you simply need to divide both sides by 69:
69/69 = 1
8/69 = 0.1159...
There is no whole number for this answer.
Therefore, your answer is the value for 8/69.

Hope This Helps You!
Good Luck :) 

- Hannah ❤

factor completely: x^3+8x^2+7x

Answers

there's an x in all terms so factor that out first.

x(x^2 + 8x + 7)

now it's x multiplied by a typical parabolic equation. factor this normally by seeing what multiplies to give 7 and adds to give 8.

x(x + 7)(x + 1)

Child development
What have researchers learned about the relationship between longer childhoods and brain development?

Answers

Researchers have learned that the longer the childhood, the more learning the child can do. Like Gopnik says that we humans aren’t good at anything in particular, but good at learning about many different environments and are learning to do more than one thing unlike chickens."
Final answer:

Longer childhoods are closely linked to brain development, enhancing cognitive abilities by allowing more complex neuronal connections and greater adaptation to environmental stimuli. Extended brain development is also associated with increased brain plasticity, leading to better adaptability and higher complex problem-solving skills.

Explanation:

Research has found a significant relationship between longer childhoods and brain development. Humans have one of the longest childhoods among species, a period during which our brains continue to develop and mature significantly. This extended period of growth allows for more complex neuronal connections and adaptation to environmental stimuli, thus enhancing cognitive abilities.

A long childhood provides ample opportunities for learning and skill acquisition, and it is during this period that the brain is especially receptive to picking up new information. More prolonged brain development during childhood also tends to be associated with increased brain plasticity, meaning the brain's ability to change and adapt as a result of experiences. This plasticity aids in the formation of our identities and equips us to handle complex tasks and challenges as we grow.

Learn more about Long Childhoods & Brain Development here:

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What is the expression phrase of the sum of a number x and 4, all divided by 3?

Answers

"the sum of a number x and 4" is x + 4
Then you divide that sum by 3.

(x + 4)/3

Point F is on circle C.



What is the length of line segment GF?

a.12.5 units
b.15.0 units
c.17.5 units
d.20.0 units

Answers

The answer was D. "20.0 units"

Answer:

GF = 20  units .

Step-by-step explanation:

Given  : A circle ,Point F is on circle C.

To find : What is the length of line segment GF.

Solution : We have given  A circle ,Point F is on circle C.

In circle we can see in triangle GCE

EC = CF = 7.5

GE = 10.

By the Pythagorean theorem :

GC²  = EG²+ EC².

Plugging the values

GC²  = 10²+ 7.5².

GC²  = 100 + 56 .25.

GC²  = 156.25.

Taking square root.

GC = 12.5 units.

Radius of circle CF = 7.5 units .

GF = GC +CF.

GF = 12.5 + 7.5

GF = 20  units .

Therefore, GF = 20  units .

Which of the following expressions represents the value, in dollars, of a certain number of dimes, d, and pennies, p?

0.01d + 0.10p
0.10d + 0.01p
0.11dp
0.11d + p

Answers

a dime is 10% of a dollar and a penny is 1% of a dollar, or 0.10 and 0.01
Then 0.10d + 0.01p is the expression

A) choose the linear model that passes through the most data points on the scatterplot.
a. true. choose the linear model that passes through the most data points on the scatterplot.
b. false. the line usually touches none of the points. minimize the sum of the squared errors.
c. false. all of the data points either touch the line or fall below the line.
d. false. the linear model line usually passes through exactly half of the data points.

Answers

Answer: b

Explanation:
The line of best fit to a scattergram is obtained in linear regression analysis by minimizing the sum of the squared errors.
For example, in the diagram shown below, there are n data points in the scattergram.
The error for the i-th data point is [tex]e_{i}[/tex].
The coefficients (a and b) for the line of best fit are determined using calculus, to minimize [tex]\sum_{i=1}^{n} e_{i}^{2}[/tex].

Final answer:

The correct statement relating to the selection of a linear model is that the line of best fit is found using the least-squares method to minimize the sum of squared errors. This involves plotting data points, calculating the least-squares regression line, and determining if the linear model fits the data appropriately.

Explanation:

The question pertains to the selection of a linear model based on a provided scatterplot. The correct choice is b. false. the line usually touches none of the points. minimize the sum of the squared errors. This statement refers to the concept of least-squares regression, a mathematical method used to find the line of best fit by minimizing the squared differences (errors) between the observed values and the values predicted by the model. This line is intended to predict the dependent variable based on the independent variable. The process includes plotting the data, calculating the least-squares line, and determining if the linear model is appropriate for the data set.

After plotting the data points on a scatter plot, we use a calculator or statistical software to compute the least-squares regression line, represented as ŷ = a + bx, where a is the y-intercept, b is the slope, and ŷ is the predicted value of the dependent variable for any given value of the independent variable. The line may not pass through the most data points, but instead represents the trend of the data points in a way that minimizes the overall error of the model.

Estimate the unit rate

Answers

What is the given information?
You must have a number of miles traveled in a number of hours, or a number of items bought for so many dollars, etc.

Express terms in i square root -40

Answers

[tex]\bf \sqrt{-40}\implies \sqrt{-1\cdot 40}\implies \sqrt{-1}\cdot \sqrt{40}\implies i\cdot \sqrt{4\cdot 10} \\\\\\ i\cdot \sqrt{2^2\cdot 10} \implies 2i\sqrt{10}[/tex]

Helpp me with this word problem number one

Answers

In order to find out how long it is you need to convert the fractions into mixed fractions then multiply. 
4 1/3 x 6 1/2 = 
13/3 x 13/2 = 169/6 
169 divided by 6 = 28 1/6

Trisha needs 4 yards of fabric to do a project. If she already has of a yard of fabric, what is the minimum amount of fabric she must buy to be able to complete her project? A. 3 5/6 B.4 1/12 C.4 1/6

Answers

the answer would be A.

Answer:

The answer is A. OR   3 5/6

Select "Growth" or "Decay" to classify each function.

Function Growth Decay
y=200(0.5)^2t
y=1/2(2.5)^t/6
y=(0.65)^t/4


Which equation can be used to find the solution of (1/3)^d−5 = 81 ?

A. −d−5=4

B. d + 5 = 4

C. d−5=4

D. −d+5=4

Answers

1. The growth rate equation has a general form of:

y = A (r)^t

The function is growth when r≥1, and it is a decay when r<1. Therefore:

y=200(0.5)^2t                    --> Decay

y=1/2(2.5)^t/6                  --> Growth

y=(0.65)^t/4                       --> Decay

 

2. We rewrite the given equation (1/3)^d−5 = 81

 

Take the log of both sides:

(d – 5) log(1/3) = log 81

d – 5 = log 81 / log(1/3)

d – 5 = - 4

 

Multiply both sides by negative 1:

- d + 5 = 4

So the answer is D

Use your calculator to evaluate the limit of x equals 1 to 3 of e raised to the x squared power, dx. Give your answer to the nearest integer.

Numerical Answers Expected!

Answers

The integral of e raised to x squared dx to the limit from 1 to 3 translating in equation we get
∫1-3 e^(X^2) dx.

Solving using scientific calculator, we have  1443.082471 or simply 1443.

ANSWER: 1443

Which ordered pairs are solutions to the inequality y−4x≥−5 ?

Select each correct answer.

(5, −2)

(1, −1)

(−4, 2)

(4, 0)

(−2, 1)

Answers

(1,-1) (-4,2) (-2,1) are all correct answers because when you plug them in to the eqaution they keep the eqaution correct

The ordered pairs that satisfy the given inequality is required.

The points that are solutions are [tex](-4,2),(-2,1),(1,-1)[/tex]

The given inequality is [tex]y-4x\geq -5[/tex]

Let us substitute each point in the inequality

[tex](5,-2)[/tex]

[tex]y-4x\\ =-2-4\times 5\\ =-22\ngeq -5[/tex]

[tex](1,-1)[/tex]

[tex]-1-4\times 1\\ =-5\geq -5[/tex]

[tex](-4,2)[/tex]

[tex]2-4\times -4\\ =18\geq -5[/tex]

[tex](4,0)[/tex]

[tex]0-4\times 4=-16\ngeq -5[/tex]

[tex](-2,1)[/tex]

[tex]1-4\times -2=7\geq -5[/tex]

The points that are solutions are [tex](-4,2),(-2,1),(1,-1)[/tex]

Learn more:

https://brainly.com/question/20872996

https://brainly.com/question/12503952

How to find the values of the six trigonometric functions for 180?

Answers

I like to imagine a triangle in place of the negative x axis of the unit circle where  the opposite side = 0, the adjacent is -1 and the hypotenuse = 1.
so sin 180 = 0/1 = 0, cos 180 = -1/1 = -1   and tan 180 = -0/-1 = 0.
Then the other ratios are csc is 1/0 = indeterminate, sec = 1/-1 = -1 and cot is indeterminate.

As Marta built a square fence around her garden, she wondered how much she would have to pay if she increased the length of each side of the fence by the same number of meters. Each meter of fence costs 3 dollars. Which of the following functions best describes the additional amount of money Marta will have to spend, in dollars, if she increases each side of the fence by m meters?

Answers

Given that as Marta built a square fence around her garden, she wondered how much she would have to pay if she increased the length of each side of the fence by the same number of meters.

Suppose the she increases each side of the fence by m meters, then the total increase to the four sides of the square is given by 4m.

Given that each meter of fence costs 3 dollars, therefore, the function that best describes the additional amount of money Marta will have to spend, in dollars, if she increases each side of the fence by m meters is given by C = 12m.

Which of the following phrases could represent the expression k - 4?
A.a number subtracted from four
B.four less a number
C.a number decreased by four
D.a number less than four

Answers

c a number decreased by 4
Salutations!

There are two phrases that can represent the expression [tex]k - 4[/tex]

→ Four less a number

or

→ A number decreased by four.

Bot option B and C are correct.

Hope I helped (:

Have a great day!

If it took eight men ten hours to build a wall, how many hours would it take four men to build it?

Answers

Two hours bc if it takes 8 to do it in one hour and u split the number of men u have in half you double the work hours 8men=1hour of work 4men=2hours of work
Hope this helps have a nice day
8 men= 10hours
Now,
4men= ? hours

Since there are lesser number of men, the amount of time needed will be greater.. Thus, you need to multiply the amount of hours by 2! If you are thinking why, look at the following steps
8/2=4 (men)
10 x 2= 20(time)

Thus the answer is 20

Hope this helped :))

Hadlee got 18 out of 20 questions correct on her math quiz. What percent of the questions did she get right?

Answers

It would be a 90%. In the calculator 18 is what percent of 20.
To find percents.  

First divide -----> 18/20 = 0.9

Then multiply by 100 or move decimal 2 places to the right.

----> 0.9 * 100 = 90

Answer: 90%


HELP! A daycare purchases two type of snacks, granola bars and fruit rolls. One week, they purchase 10 packs of granola bars and 6 packs of fruit rolls for a total of 152 snacks. The next week, they purchase 7 packs of granola bars and 12 packs of fruit rolls for a total of 200 snacks. How many snacks are in one pack of granola bars and one pack of fruit rolls?

Answers

10x+6y=152
5x+3y=76
7x+12y=200
-20x-12y=-304
-13x=-104
x=8
40+3y=76
3y=36
y=12
There are 8 granola bars in a pack and 12 fruit rolls in a pack

Answer: The number of granola bars in one pack = 8

The number of fruit rolls in one pack = 12

Step-by-step explanation:

Let x be the number of granola bars in each pack and y be the number of fruit rolls in each pack .

Then according to the question we have the following system of equations :

[tex]10x+6y=152.....................(1)\\7x+12y=200.......................(2)[/tex]

Multiply equation (1) by 2 we get

[tex]20x+12y=304......................(3)[/tex]

Subtract equation (2) from equation (3), we get

[tex]13x=104\\\\\Rigtarrow x=8[/tex]

Substitute x=8 in (1), we get

[tex]10(8)+6y=152\\\\\Rightarrow6y=152-80\\\\\Rightarrow\ 6y=72\\\Rightarrow y=12[/tex]

Hence, the number of granola bars in one pack = 8

The number of fruit rolls in one pack = 12

One third of the sum of two consecutive odd integers is five less than the smaller integer

Answers

1/3(x + (x+2)) = x - 5

Your answer is 17, 19

HELP WITH SOLVING SYSTEMS WITH THREE VARIABLES, WILL MEDAL




-x -y -z = -8
-4x + 4y + 5z = 7
2x + 2z = 4

I'm not sure how to work this out.

Answers

Equation 1)  -x - y - z = -8
Equation 2)  -4x + 4y + 5z = 7
Equation 3)  2x + 2z = 4

Solving for three variables is quite similar to solving for two variables. Just like when solving for two variables, you look for like variables & solve them one-by-one. So, let's get started! :)

Multiply ALL of equation 1 by four.

1)  4(-x - y - z = -8)

Simplify.

1)  -4x - 4y - 4z = -32

Both equations 1 & 2 have the same three variables (x, y, z), so, we must look at these equations together.

1)  -4x - 4y - 4z = -32
2)  -4x + 4y + 5z = 7

Add these equations together, and create a fourth equation.

4)  -8x - z = -25

Now, notice how both equations 3 & 4 have the same two variables (x, z).

So, we must look at these equations together.

3)  2x + 2z = 4
4)  -8x - z = -25

Multiply ALL of equation 4 by 2.

4)  2(-8x - z = -25)

Simplify.

4)  -16x - 2z =-50
3)  2x + 2z = 4

Now, add the equations together, so that we can solve for x.

-14x = -42

Divide both sides by -14.

x = 3

Now, plug in 3 for x into our 3rd equation.

3)  2x + 2z = 4

3)  2(3) + 2z = 4

Simplify.

6 + 2z = 4

Subtract 6 from both sides.

2z = 4 - 6

Simplify.

2z = -2

Divide both sides by 2.

z = -1

Now, plug in -1 for z & 3 for x in our 1st equation.

1)  -x - y - z = -8

-(3) - y - (-1) = -8

Simplify.

-3 - y + 1 = -8

Simplify.

-2 - y = -8

Add 2 to both sides.

-y = -8 + 2

Simplify.

-y = -6

Divide both sides by -1.

y = 6

SO :

x = 3, y = 6, z = -1

~Hope I helped!~

(6r^3s^5)(-2rs^3)(-r^2s)

Answers

Multiply the three numbers together.
What is 6 * (-2) * (-1) ?
Hint: negative times negative = positive.

Now multiply the variable r.
What is r^3 * r * r^2?
Hint: r alone is the same as r^1; add the exponents.

Now multiply the variable s.
What is s^5 * s^3 * s?
Hint: s alone is the same as s^1; add the exponents.

Now put it ll together.
What do you get?

What is the greatest common factor of 125, 50, and 275?

Answers

The greatest common factor of those numbers is 25. 

Answer:

25 is the greatest common factor.

Step-by-step explanation:

We are given the following information in the question:

We have t find the greatest common factor of 125, 50 and 275.

We can use the method of prime factorization.

[tex]125 = 5\times 5\times 5\\50 = 5\times 5\times 2\\275 = 5\times 5\times 11[/tex]

Hence, the common factor of the the three numbers are:

[tex]5\times 5 = 25[/tex]

Hence, the greatest common factor 125, 50, 275 is 25.

When writing the slope as a fraction which numner goes on top?

Answers

The number that goes on top is the number that represents your move on the Y axis of a graph from the point so up or down. 

The number goes on top tells line changes in the y direction and how much it rises.

what is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

As, The top number indicates how much the line rises or moves in the y direction.

Given that the number is a 1 and is positive, we can infer that the line rises or moves up by one.

Hence, line changes in the y direction and how much it rises.

Learn more about slope here:

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Read this sentence from paragraph 1. Our sense of smell also accounts for 90 percent of what we taste, which explains why it is difficult to taste food when our noses are congested due to allergies or colds. Which word is closest in meaning to the word congested as it is used in this sentence? Value is often used by artists to create mood and give the impression of lighttrueorfalse The president who said the chief business of the american people is business was Fill in each blank with the correct word to complete the sentence. The rules of the order of operations tells you to multiply and divide in order from _________ to ______ Which statement about the Dominican Republic is not true? The separation of colors by refraction is called: Unlike some other countries, the united states does not teach patriotism in the schools. What cities besides Sacramento used to be the capital of california? Which process occurs only in autotrophic organisms? Which organ that works as part of the excretory system is considered the largest organ in the human body? kidney skin large intestine liver I need to know the three points of inflection Find the area of a circular park whose radius is 4.9 meters? Which sentence best explains why ocean water near the equator is warmer than ocean water far from the equator? A.Due to Earth's rotation, gyres near the poles flow clockwise. B.Deep-sea vents pump steam into the conveyor belt near the equator. C.The sun's rays strike the water at an angle at the poles. D.The water is denser and saltier near the equator, so it holds more heat. A region based on common properties such as population is called a(n)? which is an equation of the line with x-intercept 2 and y-intercept 12 PLEASE HELP!!!!! I DONT UNDERSTAND!!!! :(A city's population is represented by the function P=25,000(1.0095)t , where t is time in years. How could the function be rewritten to identify the daily growth rate of the population?What is the approximate daily growth rate? Which is the best timeline entry based on the information above (1 point)? The graph below represents the price of sending video messages using the services of a phone company. What is the constant of proportionality? William Right broke his leg in an accidental fall. He has a deductible of $150 and a coinsurance payment equal to 20% percent of the cost less the deductible. The entire bill for medical services was $750.00.How much did William pay? $How much did the insurance company pay? $ If i is raised to an even power, then it can not simplify to bea. -1b. 1c. i Steam Workshop Downloader