Complete the following statement.

The ratio of adults to children at a family reunion is 16 to 10. If there are 91 people at the family reunion, there are
adults and
children.

Answers

Answer 1

Answer:

56 adults and 35 children

Step-by-step explanation:

 

sum the parts of the ratio 16 + 10 = 26

Divide 91 by 26 to find one part of the ratio

91/26 = 3.5 ← 1 part of the ratio

16 parts = 16 × 3.5 = 56 ← number of adults

10 parts = 10 × 3.5 = 35 ← number of children

Therefore it 56 adults and 35 children.

To Check the Answer:  56 + 35 = 91


Related Questions

<1 and <2 are complementary angles. m<1=2x+34, and m<2=2x+8. find the measure of each angle

Answers

Step-by-step explanation:

2x+34=2x+8=90°

4x+42=90°

-42. -42

4x=. 48

÷4. ÷ 4

x= 12 ( divide both sides by 4)

( you need to substitute x)

2(12)+34

measure of angle 1 is equal to 58

2(12)+8

measure of angle 2 is equal to 32

what is the slope of a line parallel to the line whose equation is 2x + y = 3?

Answers

Step-by-step explanation:

Here is the answer to the question

Answer:

-2/1

Step-by-step explanation:

Rewrite equation in point-slope form

y=-2x+3

in y=mx+b, m= the slope

The slope of the line is -2/1

Any lines parallel to this line will have the same slope

May I please receive help?

Answers

Well I’m not sure if I’m right:
This is my answer:
1

HELP ASAP PLEASE I BEG TOU

Answers

Answer:

The graph below

Step-by-step explanation:

Start at -2 on the y-axis and go up 1/2 every space you go on the x-axis

Hope this Helps

what is the first natural number
A.0 B.1. C.-1​

Answers

Answer:

1

Step-by-step explanation:

1 is the first natural number because 0 is not a natural number.

All natural numbers are numbers from 1 onward.

Ex. 1.2.3.4.5.6...

Solve for t:
t + 7 = 21

A: t= 28
B: t= 14
C: t= -28
D: t= -14

Answers

t + 7 = 21

---Subtract 7 from both sides

t + 7 - 7 = 21 - 7

t = 14

Hope this helps!! :)

Answer:

B) t = 14

Step-by-step explanation:

To indirectly measure the distance across a river, Nolan stands on one side of the river and uses sight-lines to a landmark on the opposite bank. Nolan draws the diagram below to show the lengths and angles that he measured. Find PRPR, the distance across the river. Round your answer to the nearest foot.

Answers

The length of PR to the nearest foot is 198.94 feet

Find the diagram attached

From the diagram, the triangle PRE and POC are similar triangles.

Let PR = x

Based on similarity theorem;

PR/RE = PR+RO/OC

x/135 = (x+140)/230

Cross multiply

230x = 135(x+ 140)

230x = 135x + 18,900

230x - 135x = 18,900

95x = 18900

x =18900/95

x = 198.94

Hence the length of PR to the nearest foot is 198.94 feet

Learn more here: https://brainly.com/question/19892143

ill give brainlest pls

Answers

Answer:

$5.00

Step-by-step explanation:

Answer:

5.00

Step-by-step explanation: this question was already answered but i need the points :p

HELP ME PLEASE PLEASE PLEASE​

Answers

Answer:

#1)  3 different roots, total 6#2) 3 different roots, total 9#3) 3 different roots, total 4

Step-by-step explanation:

#1

The roots are:

x - 3 = 0 ⇒ x = 3, multiplicity 2x + 1 = 0 ⇒ x = -1, multiplicity 32x + 5 = 0 ⇒ x = -2.5#2

The roots are:

x = 0, multiplicity 3x + 2 = 0 ⇒ x = -2x - 4 = 0 ⇒ x = 4, multiplicity 5#3

The roots are:

x² - 1 = 0 ⇒ (x + 1)(x - 1) = 0 ⇒ x = -1, x = 1x² + 4x + 4 = 0 ⇒ (x + 2)² = 0 ⇒ x + 2 = 0 ⇒ x = -1, multiplicity 2

A scrapyard had 200 tons of recycled steel. They sold 15 tons per day for several days. If there are 80 tons left at the scrapyard, how many days have passed?

Please explain fully.

Answers

Answer:

8 days

Step-by-step explanation:

200-80= 120

120 ÷ 15 = 8 days

Answer:

SAME AS WHAT HE SAYS

Step-by-step explanation:

Solve 7!

(Need help with this in Math!)

Answers

The answer is 5040.

7! means 7x6x5x4x3x2x1

7x6x5x4x3x2x1
42 x 20 x 6
42 x 120
5040

Josiah skateboards from his house to school 3 miles away. It takes him 36 minutes.

How many minutes will it take Josiah to skateboard to his friend Sebastian’s house, which is 2 1/2

miles from school, if he travels at the same rate that he did from his house to school?


In the box below, type the number that goes in the blank.

Answers

Using the speed - distance relationship, the number of minutes it will take Josiah to cover a distance of 2.5 miles is 30 minutes.

Calculating Josiah's speed :

Speed = (distance ÷ time)

Speed = (3 ÷ 36) = 0.08333 miles per minute.

Time taken to cover a distance of 2.5 miles :

Time taken = (Distance ÷ Speed)

Time taken = (2.5 ÷ 0.08333) = 30 minutes

Therefore, it will take 30 minutes for Josiah to cover a distance of 2.5 Miles

Learn more : https://brainly.com/question/18112348

Given the overlapping triangles shown at the right. Notice the parallel segments. Find x. 6 х 9 MathBils.com 20​

Answers

Using the principle of parallel lines, the value of x in the given triangle is calculated to be 8

The smaller triangle can be expressed as :

Side / base = 6/x ----(1)

The larger triangle can be expressed as :

Side / base Side = 6+9 = 15 15/20 - - - - - (2)

Equating (1) and (2) :

6/x = 15 / 20

15x = 20 × 6

15x = 120

x = 120 / 15

x = 8

Therefore, the value of x in the triangle is 8.

Learn more : https://brainly.com/question/25326255

Given the graph of f'(x) shown below, find the intervals on which the function f(x) is increasing.
See the graph attached below.

Isn't the answer supposed to be (-infinity, -2) U (1, infinity) ?

Answers

Answer:

intervals (-3,-1) and (0,+infinity)

Step-by-step explanation:

if f'(x)>0 then f is increasing

solve for X : 3x²=5x​

Answers

⇒ 3x² - 5x = 0

⇒ (3x - 5) · x = 0

3x - 5 = 0

x = 0

x = 0, 5/3

2×[3+2×(10-3)]=

Pa helppppp

Answers

Step-by-step explanation:

2 × [3 + 2 × (10 - 3)] =

2 × (3 + 2 × 7) =

2 × (3 + 14) =

2 × 17 = 34

Answer:

34

Step-by-step explanation:

2 × [3 +2 × (10 - 3)]=

2 × (3 + 2 × 7)=

2 × ( 3 + 14)=

2 × 17=

34.

It is 12:49 what time it will be 30 minutes from now

Answers

Answer:

01:19 PM

Step-by-step explanation:

if its 12:49 then in 30 minutes it'll be 1:19pm

because

in 11 minutes I'll be 1pm and then 30-11= 19

so

1pm + 19 mins = 1:19pm

Hope this helped you- have a good day bro cya)

Answer:

1:19 pm

Hope you have an amazing day!

determine the H.C.F of 12,48,60​

Answers

Answer:

HCF(12, 48, 60) = 12

Step-by-step explanation:

HCF of 12, 48, 60 is 12 since 12 is largest number which exactly divides all the numbers

Highest common factor (HCF) of 12, 48, 60 is 12.

Hope this helped you- have a good day bro cya)

someone help it’s about gradients etc check photo please!! (The coordinates of K and L are (-8, -5)

Answers

Answer:

[tex]i) \frac{2}{3} [/tex]

Step-by-step explanation:

[tex] = \frac{y {}^{1} - y {}^{2} }{x {}^{1} - x {}^{ {}^{2} } } [/tex]

[tex] = \frac{ - 5 - ( - 1)}{ - 8 - ( - 2) } [/tex]

[tex] = \frac{ - 4}{ - 6} [/tex]

[tex] = \frac{2}{3} [/tex]

Find the slope of (2 , -7 ) and ( -1 , 6 )


A. 4

B. -6

C. -1/6

D. 6

Answers

Answer:

-13/3

Step-by-step explanation:

y2 - y1 / x2 - x1

6 - (-7) / -1 - 2

13 / -3

= -13/3

Hello !

Answer:

[tex] \boxed{\sf None \: of \: the \: options \text{:} \: \: m =- \dfrac{13}{3}} [/tex]

Step-by-step explanation:

The slope m of a line passing through two points can be calculated using the following formula:

[tex] \sf m = \dfrac{rise}{run} = \dfrac{\Delta y}{\Delta x} = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex] \\ [/tex]

Let (x₁ , y₁) = (2 , -7)

Let (x₂ , y₂) = (-1 , 6)

Substitute these values into our formula:

[tex] \sf m =\dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{6 - (-7) }{-1 - 2 } = \dfrac{13}{-3}\\ \\ \implies \boxed{\sf m = -\dfrac{13}{3}} [/tex]

Have a nice day ;)

What number is subtracted from 2.2 which gives you 0.8765

Answers

Answer:

1.3235

Step-by-step explanation:

If you take 2.2 and subtract .8765 from it you get 1.3235. If you take that and subtract it from 2.2 you get .8765.

The temperature at 6pm is
54℉. The temperature at 10pm
is 42℉. How many degrees did
the temperature fall?

Answers

Answer:

12

Step-by-step explanation:

Answer:

12°F??¿??¿????¿??!??????????

3. Which phrase best describes the function of the ATP molecule?

1. Carries energy

2. Destroy energy

3. absorbs energy

4. none of the above

Answers

Answer:

1.) Carries energy

Step-by-step explanation:

A good summary of an ATP molecule is a molecule that transfers energy between cells... meaning it carries energy from cell to cell. Furthermore, energy cannot be destroyed, and cannot be absorbed, only changed and transformed. This leaves us with two options, (1. Carries energy, and 4. None of the above). Since we already have a basic understanding of what an ATP molecule does, we can confidently determine that the correct answer is that an ATP molecule can best be described as carrying energy.

The height of a cylinder is 4 millimeters.The circumference of its base is 10 pi mm​

Answers

[tex]\\ \sf\longmapsto C=10\pi mm[/tex]

[tex]\\ \sf\longmapsto 2\pi r=10\pi mm[/tex]

[tex]\\ \sf\longmapsto 2r=10[/tex]

[tex]\\ \sf\longmapsto r=5mm[/tex]

h=4mm

[tex]\\ \sf\longmapsto Volume=V=\pi r^2h[/tex]

[tex]\\ \sf\longmapsto V=\pi (5)^2(4)[/tex]

[tex]\\ \sf\longmapsto V=\pi 25(4)[/tex]

[tex]\\ \sf\longmapsto V=100\pi mm^3[/tex]

volume is 100pi mm³.

What is volume?

In mathematics, volume is the space taken by an object.

Here, given that,

The height of a cylinder is 4 millimeters.=h

The circumference of its base is 10 pi mm​=2r*pi

So, we get,

r=5

Volume =pi*r²*h

             =100pi mm³

Hence volume is 100pi mm³.

To learn more on volume click :

brainly.com/question/1578538

#SPJ2

How many solutions are there to this equation?

4(x-5)=3x+7

A. 1
B. infinitely many
C. 0

Answers

Answer:

1

Step-by-step explanation:

4x-20=3x+7

x=27

Solve this one following the linear equations beow agebricaly.Express your answer in simplest form.3(6x-4)=24

Answers

Divide 3 by both sides
6x-4=8
Add 4 on both sides
6x=12
divide 12 by 6
Answer: x=2
3(6x-4)=24
Expand:
3(6x)=18x
3(-4)=-12
That gives, 18x-12=24
Subtract 12 from both sides to get 18x=12
x=12/18
Divide the numerator and the denominator by 6 to get:
x=2/3 which is the simplest form.

Hope this helped

G.
G
7 cm
8 cm

-
Find volume

Answers

Step-by-step explanation:

The volume = [tex](\frac{22}{7} )(7^{2} )(8)[/tex]

= 1232

please give me a brainliest answer

1232 should be your answer

Which graph best represents the solution set of y > 5/3x + 2?

Answers

Answer:

[tex]y > \frac{5}{3} x + 2[/tex]

The choice A.

I hope I helped you^_^

Solve for b. Express your answer as an integer or integers or in simplest radical form. -165= -3-6b^3
Fastest and correct wins brainliest

Answers

I wanna help you but I don’t understand sorry

13. Does are turned using a special tool called a/ an

I think it’s C. die stock

Brainliest for a correct answer!!!

Answers

Answer:

You have the correct answer selected, (C.) Die stock. I hope this helps you! Good luck! : )

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