the sum of 35 and one fifth part of itself is added to the sum of one seventh of 11 and 8​

Answers

Answer 1

Answer:

313/7

Step-by-step explanation:

Here, we are interested in turning the wordings of the statement to numeric values.

We take it one at a time.

Sum of 35 and 1/5(35) = 35 + 7 = 42

This is added to 1/7(11 + 8)

= 1/7(19) = 19/7

So we have;

42 + 19/7 = (294 + 19)/7 = 313/7


Related Questions

The period of y = 2tanx is _____.

Answers

Answer:

The period of the function y = 2×tan x is π

Step-by-step explanation:

The tangent function, generally has a period of π radians such that a cycle of the tangent function is completed every π radians

Therefore, where a required number of periods is required to be completed within the π radians range, the number is used to multiply the trigonometric function[ parameter.

From the question, we have;

y = 2×tan x

Which gives the multiplier of the variable x as 1

Therefore, the period of the function y = 2×tan x is π.

A rectangular sheet of steel is being cut so that the length is four times the width the perimeter of the sheet must be less than 100 inches . Which inequality can be used to find all possible lengths,l.of the steel sheet

Answers

Answer:

w>10

length = 40

Step-by-step explanation:

Let

Width=w

Length=4w

Perimeter is less than 100 inches

Perimeter of a rectangle= 2( Length + width)

100 < 2(4w+w)

100 < 8w+2w

100 < 10w

w > 10

Length =4w

=4 × 10

=40 inches

Answer:

5/2l <100

Step-by-step explanation:

PLATO

Jessie has some nickels, dimes, and quarters in her bank. The number of coins is 30. The expression 0.05n + 0.10d + 0.25q represents the value of the coins, which is $3.45. Jessie has five more nickels than she does quarters. How many of each coin does Jessie have?

Answers

Answer:

n = 12 nickels

d = 11 dimes

q = 7 quarters

Step-by-step explanation:

.05n + .1d + .25q = 3.45

n + d + q = 30

n = q + 5

n = 12

d = 11

q = 7

A teacher orders 20 copies of a new graphic novel for his class to read. Each of the books weighs the same amount. The total weight of all the books is 10 pounds, What is the weight of 1 book?

Answers

Answer:

Each book weighs 1/2 lbs

Step-by-step explanation:

Take the total weight and divide by the number of books

10 lbs/20 books

1/2 lbs per book

Each book weighs 1/2 lbs

how many are 7 raised to 3 ???​

Answers

Answer:

343

Step-by-step explanation:

7^3 =

7*7*7

343

Please answer quickly

Answers

Answer:

answer what

Step-by-step explanation:

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help me solve please

Answers

Answer:

B

Step-by-step explanation:

The side you have drawn in is 4√3 (calculate via pythagoras as √(8²-4²) = √48 = √16·3 = √4²·3 = 4√3)

So the area of the small triangle is 4*2√3 and the area of the small rectangle is 2*4√3. Together makes 4*2√3 + 2*4√3 =  16√3

NEED IN 10 MIN. WILL GIVE BRAINLEST Solve the triangle. B = 36°, a = 41, c = 17

Answers

Answer:

Yes this is a Triangle

36 degrees of any side then 41 would connct to 36 and 17 would connects to 36 and 41! If this is Khan Academy your asking out of its a Yes, it is a Triangle

HOPE IM THE BRANLIESS UwU

Answer:

It is a triangle:

Step-by-step explanation:

b² = a² + c² - 2(a)(c)cos(B)  

b² = 41² + 20² - 2(41)(20)cos(36)

b² = 754.2121292

b = 27.46292281

b = 27.463

A = 41, B = 27.4, C = 17

plz help with equation of the circle will award fastest CORRECT answer with brainliest

Answers

Answer:

[tex](x-1)^2+(y-2)^2=6.25[/tex]

Step-by-step explanation:

The equation for a circle is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h,k) is the center and r is the radius.

The center is the red dot, which is (1,2). Thus, h=1 and k=2.

To find the radius, you need to use the distance formula. We are given two coordinates: the center (red dot) at (1,2) and a blue dot on the circle at (2.5,4). Find the radius by using the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let (1,2) be x₁ and y₁ and let (2.5,4) be x₂ and y₂. Therefore:

[tex]d=\sqrt{(2.5-1)^2+(4-2)^2}\\d=\sqrt{(1.5)^2+2^2}\\d=\sqrt{2.25+4}\\d=\sqrt{6.25}=2.5[/tex]

Thus, r is 2.5.

Plugging these numbers into the equation, we have:

[tex](x-h)^2+(y-k)^2=r^2\\(x-1)^2+(y-2)^2=2.5^2\\(x-1)^2+(y-2)^2=6.25[/tex]

Helppppp!!!! Thank you

Answers

Greetings from Brasil...

In a triangle the sum of the internal angles is 180 °.... Thus,

Ô = 180 - 30

Ô = 60

The desired area is the area of the rectangle triangle, minus the area of the circular sector whose angle 60

A1 = area of the rectangle triangle

TG B = OA/AB

AB = OA / TG B

AB = 6 / TG 30

AB = 6√3

A1 = (AB . OA)/2

A1 = (6√3 . 6)/2

A1 = 18√3

A2 = area of the circular sector

(rule of 3)

 º                       area

360    ------------   πR²

60     ------------    X

X = 60πR²/360

X = 6π

So,

A2 = 6π

Then the area shaded is:

A = A1 - A2

A = 18√3 - 6π

Point R is on line segment QS. Given QR=3 and QS=17, determine the length RS.

Answers

Answer:

14

Step-by-step explanation:

RS = QS - QR

RS = 17 - 3

RS = 14

Answer:

[tex]\large \boxed{14}[/tex]

Step-by-step explanation:

Point R is on the line segment QS.

QS = QR + RS

Solve for RS.

RS = QS - QR

RS = 17 - 3

RS = 14

3/4a-1/6=2/3a+1/4? Please i need help!!!!

Answers

Answer: a=5

Step-by-step explanation:

1/12a=10/24

24a=120

a= 5

Samantha is making salad for a party at her house. In the salad recipe that she is using, it takes 3/4 of a pound of boneless chicken breasts to make 5 portions of the salad. She uses 1 1/5 pounds of chicken for every 3 cherry tomatoes used, and 9 cherry tomatoes for every 2 bags of spinach used. If Samantha is making enough salad to use 4 bags of spinach, how many portions of salad will she make?

Answers

Answer:

48 portions of salad

Step-by-step explanation:

4 bags spinach = 18 cherry tomatoes = 7.2 lb of chicken

7.2/.75 = 9.6 x 5 = 48

Please please please help

Answers

Answer:

m = 4

Step-by-step explanation:

9/6=6/m

9m = 36

m = 4

- 4 = -17 + x
- 4 = - 17 + x

Answers

Answer:

x = 13

Step-by-step explanation:

- 4 = -17 + x

Add 17 to each side

- 4+17 = -17+17 + x

13 =x

Answer:

-4+17=x

13=x

you substitute and then solve for the answer

What is [tex]3^2*3^5[/tex]?

Answers

Answer:

[tex]3^7[/tex]

Step-by-step explanation:

[tex]3^2*3^5[/tex]

[tex]\text {Apply Product Rule: } a^b+a^c=a^{b+c}\\\\3^2*3^5=3^{2+5}=3^7[/tex]

3^7 or 2187. When you have the same number with exponents, you add the exponents together to get your answer

find the five rational number lying between square of 5/6 and 6/7​

Answers

Answer:

71/84

Step-by-step explanation:

Answer:

1229/1764,  1231/1764, 179/252,  1255/1754 and 185/252.

Step-by-step explanation:

(5/6)^2 = 25/36

(6/7)^2 = 36/49

LCM of 36 and 49 is 1764

So 25/36 =   25 * 49 / 1764 = 1225/1764

and 36/49  =   36 * 36 / 1764 = 1296/1764

So the 5 rational numbers could be:

1229/1764,  1231/1764, 1253/1764 ( = 179/252),  1255/1764 and 1295/1764 (= 185/ 252).

Solve for x 3(x+7)-14=22

Answers

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Hi my lil bunny!

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Let's solve your equation step-by-step.

[tex]3(x+7)-14=22[/tex]

Step 1: Simplify both sides of the equation.

[tex]3 ( x + 7 ) - 14 = 22\\(3)^(x) + (3) (7) + - 14 = 22[/tex] (Distribute)

[tex]3x + 21 + -14 = 22[/tex]

[tex]( 3x) + (21 + -14 ) = 22[/tex] (Combine Like Terms)

[tex]3x + 7 = 22\\3x + 7 = 22[/tex]

Step 2: Subtract 7 from both sides.

[tex]3x + 7 - 7 = 22 - 7 \\3x = 15[/tex]

Step 3: Divide both sides by 3.

[tex]\frac{3x}{3} = \frac{15}{3} \\x = 5[/tex]

So your answer would be : [tex]\boxed {x = 5}[/tex]

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

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Have a great day/night!

❀*May*❀

Last week Andi had exams in Chemistry and in Spanish. On the chemistry exam, the mean was µ = 30 with σ = 5, and Andi had a score of X = 45. On the Spanish exam, the mean was µ = 60 with σ = 6 and Andi had a score of X = 65. For which class should Andi expect the better grade?

Answers

Answer:

Chemistry

Step-by-step explanation:

To solve the above question, we use the z score formula

Andy took two Exams, Chemistry and Spanish. So we find the z score for both exams.

a) Chemistry Exam

On the chemistry exam, the mean was µ = 30 with σ = 5, and Andi had a score of X = 45

z-score is given as: z = (x-μ)/σ

where x is the raw score,

μ is the population mean

σ is the population standard deviation

z = (x-μ)/σ

z = (45 - 30)/5

z = 15/5

z = 3

b) On the Spanish exam, the mean was µ = 60 with σ = 6 and Andi had a score of X = 65.

z-score is given as: z = (x-μ)/σ

where x is the raw score,

μ is the population mean

σ is the population standard deviation

z = (x-μ)/σ

z = (65 - 60)/6

z = 5/6

z = 0.8333333333

Comparing the z score of both Exams,

Andy had a z score of 3 in the Chemistry exam and 0.8333333333 in the Spanish exam.

Therefore, Andy should be expecting a better grade in the Chemistry exam because his z score in the Chemistry exam was higher than that of the Spanish exam.

Which statement describes the graph of x = 4

Answers

Answer:

The graph of x=4 is a vertical line parallel to y-axis and having a x-intecept:(4,0) and having no y-intercept

Step-by-step explanation:

So I think that the answer would be this, which means answer 1!! Hope this helps

According to the graph, what is the value of the constant in the equation
below?
A. 30
B. 72
C. 60
D. 15

Answers

Greetings from Brasil...

As stated in the statement:

HEIGHT = CONSTANT ÷ WIDTH

H = C ÷ W

so, isolating the variable C....

C = H · W

choosing any point on the graph...

(2; 30)  ⇒ W = 2 and H = 30

C = H · W

C = 30 · 2

C = 60

The value of the constant in the equation shown in the figure would be, 60. Hence option C is true.

Given that,

The graph is the relation between Height and width.

As is given in the graph:

Height = Constant / Width

We observe that the graph passes through (2,30), (5,12), (10,6), (30,2)

So, by using any one point we may get the value of constant( since it is a fixed quantity)

Hence, using the point (2,30)

Width = 2

And, Height = 30

So, we get:

Constant = 2 × 30

= 60

To learn more about multiplication visit:

https://brainly.com/question/10873737

#SPJ6

Please answer this now with correct answer

Answers

Answer:

483.56 square milimeters

Step-by-step explanation:

In the above question, we obtain the following information:

Slant height = 15mm

Radius = 7mm

π = 3.14

Since we are given the slant height ,

the formula for surface area of a cone = πrl + πr²

= πr (l + r)

= 3.14 × 7(15 + 7)

= 3.14 × 7( 22)

= 21.98(22)

= 483.56 square milimeters

Which expression is equivalent to (–2)(a + 6)?
A. –2a + 6
B. 2a + 12
C. –2a – 12
D. –2a + 12

Answers

The answer is option c.

Determine the equation of the inverse of y = 1/4 x^3 - 2

Answers

Answer: [tex]y = \sqrt[3]{4x+8}[/tex]

All of 4x+8 is under a cube root sign.

=====================================================

Work Shown:

To find the inverse, we swap x and y, then solve for y.

[tex]y = \frac{1}{4}x^3 - 2\\\\x = \frac{1}{4}y^3 - 2\\\\x+2 = \frac{1}{4}y^3\\\\4(x+2) = y^3\\\\4x+8 = y^3\\\\y^3 = 4x+8\\\\y = \sqrt[3]{4x+8}\\\\[/tex]

------------

Side note:

If [tex]f(x) = \frac{1}{4}x^3 - 2[/tex] and [tex]g(x) = \sqrt[3]{4x+8}[/tex], then [tex]f(g(x)) = x[/tex] and [tex]g(f(x)) = x[/tex]for all x values in the domain. Effectively, you use function composition to confirm that we have the correct inverse equation.

One of the factors of 6x3 − 864x is 4 x2 x + 12 x − 8

Answers

Your answer is x + 12

Hope this helped!

Answer:

x+12

Step-by-step explanation:

Correct on test

Given that the trinomial x^2+ 11x + 28 has a factor of x +4, what is the other factor?

Answers

Answer:

the other factor is (x+7)

Step-by-step explanation:

Given x^2+11x+28

factor into

x^2+7x + 4x + 28

=x(x+7) + 4(x+7)

= (x+4)(x+7)

Answer: the other factor is (x+7)

the product 9f 2 numbers is 16/9 . if one number is 5 /2 find the other number​

Answers

Answer:

The answer is 32/45

Step-by-step explanation:

Let the number be x

The product of two numbers is 16/9

That's

x × y = 16/9

One of the numbers is 5/2

That's

y = 5/2

So we have

[tex] \frac{5}{2} x = \frac{16}{9} [/tex]

Multiply through by the LCM

The LCM of 2 and 9 is 18

That's

[tex]18 \times \frac{5}{2} x = \frac{16}{9} \times 18[/tex]

9 × 5x = 16 × 2

45x = 32

Divide both sides by 45

we have the final answer as

[tex]x = \frac{32}{45} [/tex]

Hope this helps you

Two shaded identical rectangular decorative tiles are first placed (one each) at the top and at the base of a door frame for a hobbit's house, as shown in Figure 1. The distance from W to H is 45 inches. Then the same two tiles are rearranged at the top and at the base of the door frame, as shown in Figure 2. The distance from Y to Z is 37 inches. What is the height of the door frame, in inches?

Answers

Answer:

41 inches

Step-by-step explanation:

Let the point at the top of the door on the left be x

Wx + xH = 45

Let the point at the top of the door  on the right be c

Yc + cZ = 37

We know the door is

xH +  plus the width of the tile

The width of the tile is Yc

xH + Yc

On the right door

cZ +  the height of the tile

cZ + Wx

Add the two doors together

xH + Yc + cZ + Wx = 2 times the height of the door

Rewriting

xH +  Wx +  Yc + cZ = 2 times the height of the door

45+ 37 = 2 times the door height

82 = 2 times the door height

Divide by 2

41 = door height

3.7 as a mixed number

Answers

Answer:

[tex]3\frac{7}{10}[/tex]

Please tell me if I'm wrong, and maybe consider brainliest if it's correct of course.

Find a formula for the 4th term of the following G.P.S a) 1, 2,4......... b)50, 20, 8......... Pls explain very well.. Thank you.

Answers

The nth term is (n-1)^2

The 4th term is (4-1)^2 = 9

Answer:

see below

Step-by-step explanation:

The formula for a geometric sequence is

an = a1 * r^ (n-1)  where a1 is the first term and r is the common ratio

The common ratio is  found by taking the second term and dividing it by the first term

a) 1, 2,4.........

a1 = 1

r = 2/1 = 2

an = 1 * ( 2) ^ (n-1)

Let n = 4

a4 = 1 * 2^ (4-1) = 1 * 2^3 = 8

b)50, 20, 8.........

a1 = 50

r = 50/20= 5/2

an = 50 * ( 5/2) ^ (n-1)

Let n = 4

a4 = 50 * (5/2)^ (4-1) = 50 * (5/2)^3 = 3125/4

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Which of the following,if true,would most likely undermine the argument that Sweet Leaf Tea should implement a corporate-level strategy of vertical integration?A) Sweet Leaf Tea lacks the facilities or knowledge to produce the raw ingredients for its beverages.B) Market research suggests that Sweet Leaf Tea customers primarily purchase only one flavor of tea.C) Most loyal customers of Sweet Leaf Tea purchase the beverage at neighborhood convenience stores.D) Sweet Leaf Tea has decided to lower its prices by replacing cane sugar with corn syrup in some of its beverages. Find X so that m is parallel to n. Identify the postulate or theorem you used. Please help with these 3 problems, I dont understand it at all What is ionic bond and explain it