La suma del triple de un número y nueve veces el mismo número es igual a 120. Hallar el número. 3) Hallar el valor del número z sabiendo que la quinta parte de su tercera parte es igual a 3. 4) Andrés tiene seis veces la edad de Jaime aumentada en 18 e igualada a 36. Hallar la edad de Jaime.

Answers

Answer 1

Answer:

El primer número es 10.

z = 45.

La edad de Jaime es de 3 años.

Step-by-step explanation:

Estos problemas los podemos resolver planteando las ecuaciones:

El triple del número (3X) + 9 veces el mismo número (9X) = 120

3X + 9X = 120

12X = 120

X = 120 / 12

X = 10

El primer número es 10

La quinta parte de z es z/5 la quinta parte de su tercera parte es (z/5)/3 = 3

z/15 = 3

z = 45

6Jaime + 18 = 36

6Jaime = 18

Jaime = 3

La edad de Jaime es de 3 años

Related Questions

There are expected to be 7 adults for every 3 children at the opening of a new museum. Find how many children are expected if there are 21​ adults, 35​ adults, and 56 adults.

Answers

Answer:

21 Adults= 7 Children , 35 Adults= 15 children and 56 Adults = 24 Children

Step-by-step explanation:

In other words, every 7 Adults creates a set of 3 Children

In the case of the 21 Adults, 21 /7 = 3sets of Children. Therefore 3x3 =9 Children.

For 35 adults, 35/7 gives us 5 sets

Therefore 5x3= 15 Children

Finally, 56 adults. 56/7= 8 sets

Therefore 8x3= 24 Children

Hope this helps and goodluck. Feel free to post more questions.

how do you find the value of x

Answers

Answer:

To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Step-by-step explanation:

isnt the x a 90 degree angle?

45+45+x =180
(Because all triangles have a sum of 180)
90+x=180
Subtract 90 from both sides
X=90

CHECK
45+45+90= 180

Suppose that the delivery times of a nationwide pizza chain are normally distributed with an unknown mean and standard deviation. The delivery times of 26 randomly sampled pizza orders are used to estimate the mean delivery time for the population. What t-score should be used to find the 95% confidence interval for the population mean?

Answers

Answer:

The t-score to be used to find the 95% confidence interval for the population mean is;

[tex]t_{(0.025, \, 25)} = 2.06[/tex]

Step-by-step explanation:

The t-score which is representative of a point with n - k (n, and k represents the sample size and the number of groups in the test respectively) degrees of freedom  from the Student's T-distribution is a standard test statistic obtained by applying a T-test

Therefore, the t-score used for a confidence interval is obtained by by making use of the the following information;

The number of degrees of freedom = n - k

The confidence level in the confidence interval

The parameters given in the question are;

The number of pizza orders in the sample, n = The sample size = 26

The number of samples used in the estimate, k = 1 group of 26 randomly sampled pizza

The level of confidence (the probability) that the interval contains the population mean = 95%

Therefore, the significance level, α = 1 - 95% = 1 - 95/100 = 0.05

∴ The α-level for the upper and lower limit of the interval are α/2 = 0.05/2 = 0.025 long

The degrees of freedom, df = n - k

∴ For the estimation, DF = 26 - 1 = 25

The t-statistic is therefore the t-value at the intersection of the row for DF = 25 and the 0.025 (one-tail) column (0.025 two-tail column) which gives;

[tex]t_{(\alpha /2, \, DF)} = t_{(0.025, \, 25)} = 2.06[/tex]

A silo is a composite of a cylindrical tower with a cone for a roof. What is the volume of the silo if the radius of the base is 30 feet, the height of the roof is 12 feet, and the height of the entire silo is 60 feet?
147,026.5 ft
135,716.8 ft
180,955.7 ft
169,646.0 ft

Answers

Answer:

The volume of the silo is approximately  147,026.6 ft.³.

The most correct option is  147,026.5 ft.³

Step-by-step explanation:

The given dimensions of the silo are;

The shape of the silo = Composite figure of tower and roof

The shape of the tower = Cylindrical

The shape of the roof = Cone

The radius of the base of the silo, 'r' = 30 feet

The height of the cone roof of the silo, h₁ = 12 feet

The height of the entire silo = 60 feet

For the cone roof, we have;

The volume of a cone, V = 1/3 × Base area × Height

The volume of the cone roof, V₁ = 1/3×π·r² × h₁

∴ V₁ = 1/3 × π × (30 ft.)² × 12 ft. ≈ 11,309.7336 ft.³

For the cylindrical tower, we have;

The height of the entire silo = The height of the tower + The height of the roof

∴ The height of the tower = The height of the entire silo - The height of the roof

The height of the tower, h₂ = 60 ft. - 12 ft. = 48 ft.

The volume of a cylinder = Area of base × Height

The volume of the cylindrical tower, V₂ = π·r² × h₂

∴ V₂ = π × (30 ft.)² × 48 ft. ≈ 135,716.803 ft.³

The volume of the cylindrical tower, V₂ ≈ 135,716.803 ft.³

The volume of the (entire) silo, Vₙ = V₁ + V₂

∴ Vₙ = 11,309.7336 ft.³ + 135,716.803 ft.³ = 147,026.573 ft.³

The volume of the (entire) silo, Vₙ ≈ 147,026.6 ft.³.

Answer:

147,026.5 ft.³

Step-by-step explanation:

Which inequality is represented by a number increased by 5 is less than 7.​

Answers

Answer:

x + 5 < 7

Step-by-step explanation:

please with this problem I'm not sure what to put
..............

Answers

Answer:

D. Even and shifts downwards

Explanation:

When a number outside of the parentheses effect the function, it is considered the y.

So, the -4 would cause the function to shift downwards 4 units.

However, it would change the even and odd because you would have to place a negative sign in front of the x.

Please let me know the answer to this

Answers

I think it’s number 2 sorry if it’s wrong!!

If the mean of this distribution is 13.7, which could NOT be the median

A.9
B.14
C.16
D.18

Answers

Answer:

A

Step-by-step explanation:

Mark as brainllest

Answer:

A

Step-by-step explanation:

give fitzroywilliamsjr6 Brainllest plz

-1/2(-3y+10) combing like terms

Answers

Answer:

3/2y - 5

Step-by-step explanation:

1.5y-5 is the answer

Una empresa de elaboración de helados es capaz de producir 800 litros de helado de tres leches, con 8 máquinas en 42 minutos. Si fallaran dos de las máquinas, pero debieran mantener la producción de helado ¿Cuánto tiempo tardarían?

Answers

Answer:

I dont understand spanish!

Step-by-step explanation:

This pattern follows the rule multiply by 2. What other feature do you observe? 4, 8, 16, 32, 64, 128

Answers

Answer:

rule multiply of 4

Step-by-step explanation:

beacause 4×1=4

4×2=8

4×4=16

4×8=32

4×16=64

4×32=128

that's all I know

Helpppppppppppppppppppppp

Answers

Answer:

8.04 units

Step-by-step explanation:

By Pythagoras Theorem:

[tex] {x}^{2} = \bigg( \frac{25.2}{2} \bigg)^{2} - {(9.7)}^{2} \\ \\ {x}^{2} = ( 12.6)^{2} - {(9.7)}^{2} \\ \\ {x}^{2} = 64.67 \\ \\ x = \sqrt{64.67} \\ \\ x = 8.04176598 \\ \\ x \approx \: 8.04[/tex]

hhheeelllpppp pplllssss

Answers

Answer:

i think its a

Step-by-step explanation:

Answer:

B 7.2

Step-by-step explanation:

the coordinate of C: (1, 3)

the coordinate of E: (5, -3)

the distance formula: [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]

= [tex]\sqrt{(5-1)^{2} + (-3-3)^{2}}[/tex]

= [tex]\sqrt{16+36}[/tex]

= [tex]\sqrt{52}[/tex]

≈ 7.2

Need help with this question asap please please

Answers

Answer:

M< D = 105⁰

Step-by-step explanation:

the sum of the opposite angles of a cyclic quadrilateral is 180⁰

hence, <ADC + <ABC = 180⁰

<ADC + 75⁰ = 180⁰

<ADC = 180⁰ - 75⁰

< ADC= 105⁰

What is the lateral area of the can below that has a diameter of 8 and a height that is three times the radius? Round to the nearest tenth. [Hint: Find the radius first]

Answers

Answer:

402.1

hope it helps

please mark Brainliest

Five quarts of a latex enamel paint will cover about 200 square feet of wall surface. How many quarts are needed to cover 215 square feet of kitchen wall and 65 square feet of bathroom wall?

Answers

Answer:

5.375 quarts

1.625

Step-by-step explanation:

determine amount of quarts of latex per square feet = 5/200 = 0.025

quart for 215 = 0.025 x 215 = 5.375 quarts

quart for 65 = 65 x 0.025= 1.625

what does x - (-3) = 17 equal?

Answers

Answer:

x = 14

Step-by-step explanation:

two negatives become a positive so the equation is now

x + 3 = 17

subtract 3 from both sides, giving you 14

Permutations acellus How many ways can 4 books be arranged on a shelf if there are 8 books to chose from? Note: nPr = n! —— (n-r)!

Answers

Answer:

1680 ways

Step-by-step explanation:

From the question,

nPr = n!/(n-r)!.................. Equation 1

Where, n = Total number of books to chose from, r = number of books to be arranged in the shelf.

Given: n = 8 books,  r = 4 books.

Substitute into equation 1

8P4 = 8!/(8-4)!

8P4 = 8!/4!

8P4 = (8×7×6×5×4!)/4!

8P4 = 1680 ways.

Hence the number of ways 4 books can be arranged in a shelf if there are 8 books to chose from is 1680 ways

An angle measures 36.6° less than the measure of its complementary angle. What is themeasure of each angle?

Answers

Answer:

53.4° and 36.6°

Step-by-step explanation:

90.0 - 36.6 = 53.4

Ms. Thompson is baking bread. The recipe calls for 6.5 cups of flour. She has already put in 2 cups.
How many more cups does she need to put in?

Answers

Answer:

4.5 cups flour

Step-by-step explanation:

6.5 - 2 = 4.5

She put 2 cups so if u do
6.5 - 2 =4.5

This is your answer

Various types of doctors attended a large medical conference. Someone leading a session asked the 30
doctors in attendance how many years of experience they each had. The 15 dermatologists at the session
had an average of 8 years of experience.
For which population is 8 years a legitimate estimate of the average experience?
Choose 1 answer:
The dermatologists at that session only
B
All doctors at that session only
С
All dermatologists at that conference only
All doctors at that conference only

Answers

Answer: The dermatologists at that session only

Step-by-step explanation:

It was on a Khan Academy practice.

Which shape has no parallel sides? (2 points)

Group of answer choices

a quadrilateral with one small square in each of the four corners, and arrows going in the same direction for each of the opposite sides

a quadrilateral with one small square in each of the four corners, and single arrows going in the same direction for one pair of the opposite sides and double arrows for the other pair of opposite sides

a quadrilateral with sides of different lengths

a quadrilateral with single arrows going in the same direction for one pair of the opposite sides and double arrows for the other pair of opposite sides

Answers

Answer: a quadrilateral with sides of different lengths.

Parallel sides are marked by arrows (single or double) btw

Option (C) is the correct option.

What is quadrilateral?

"In geometry, a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices). If the sides are represented by arrows, then the side is parallel to each other. A quadrilateral with sides of different lengths, may not have the sides parallel to each other".

For the given situation,

From the definition, a quadrilateral with sides of different lengths has no parallel sides.

Hence, option (C) is the correct option.

Learn more about quadrilaterals here

https://brainly.com/question/26843538

#SPJ2

If you answer I will mark you Brainliest!

Answers

Answer:

divide the figure into two parts.

area of triangle = 1/2×base×height

area of triangle = 1/2×3×3

area pf triangle = 4.5 units²

area of square = side²

area of square = 3²

area of square = 9unit²

Answer:

The figure is made up of a square and a triangle.

We will find both of their areas separately and then combining them will give us the required area.

Area of the triangle : ½ × base × height

= ½ × 3 × 3

= ½ × 9

= 4.5 units²

Area of the square : (side)²

= 3²

= 9 units²

Now, required area = (4.5 + 9) units²

= 13.5 units²

Someone is the age of 550 more than (97x90)+(2+0)+(1x4)+(9+14). How old is he?

Answers

Answer:

9,309

Step-by-step explanation:

550 + (8,730) + 2 + 4 + (23)

= 550 + 8,730 + 2 + 4 + 23

= 9,309

Alan types at a rate of 30 words per minute. How many words does he type in 3 minutes? words​

Answers

Answer:

90 words

Step-by-step explanation:

Based on the information we have already, we can assume Alan types the same amount of words per minute meaning, all we have to do here is multiply.

30 words per minute x 3 minutes = 90 words

HELP! I NEED HELP ASAP

Answers

Step-by-step explanation:

yes the 10' wave is the outlier

Answer:

The correct option is .The 10 foot wave is an outlier.

Step-by-step explanation:

Not sure how to do this one. Please help asap.

Answers

Answer:

,,,,,,,,,,,,,,,,,,,,,,,

Alice has 15 times as many crayons as Bryan. Write an equation to find the total number of crayons that Alice has.

Answers

Answer:

a = 15b

Step-by-step explanation:

It's given in the question that Alice has 15 times as many crayons as Bryan.

Let the number of crayons with Bryan = b

And the number of crayons with Alice = a

Therefore, equation representing the number of crayons with Alice will be,

a = 15b

NO LINKS. NO FILES. I will report you if you answer with either of these. The question is attached below:

Answers

Answer:

the answer for this question is C

Step-by-step explanation:

base radius = 0.8

Height = 3.5

Volume of a cone =

[tex] \frac{1}{3} \pi {r}^{2} h[/tex]

V=1/3 x 3.14 x 0.8^2 x 3.5

V=2.3445 in^3

V= 2.34 in^3

What is the name of the property shown below?
(9 x 2) + (9 x 10) =
9x (2 + 10)

distributive
commutative
associative
identity

Answers

Answer:

108 associative

Step-by-step explanation:

The name of the property shown below is called distributive property.
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