20. Mr. Sprengel has a total amount of 91 pens and pencils. The ratio of pens to pencils is 6:7.
How many pencils does he have?

Answers

Answer 1

Answer:

Mr. Sprengel has 49 pencils.

Step-by-step explanation:

We are given that Mr. Sprengel has 91 pens and pencils.

We are also given that the ratio of pens to pencils is 6:7.

We can create an equation to solve for how many pencils Mr. Sprengel has.In this case, our unknown variable is how many pencils Mr. Sprengel has.

Basically, the problem is telling us that for every 6 pens, there are 7 pencils.

Therefore, we can set up an equation and set our unknown (the amount of pencils) to be equal to x.

[tex]\displaystyle6x + 7x = 91\\\\13x = 91\\\\x = 7[/tex]

Now, we found our x. However, we need to plug this into a new equation and find how many pens and pencils Mr. Sprengel has.

Our new equations are:

[tex]\bullet \ 6(7) = y\\\\\bullet \ 7(7) = z[/tex]

In this case:

y will equal the amount of pens.z will equal the amount of pencils.

Therefore, let's solve these:

[tex]6(7) = y\\\\y = 42\\\\\\7(7) = z\\\\z = 49[/tex]

Now, finally, we need to insert these values into our newfound equation:

[tex]\bullet \ y + z = 91[/tex]

[tex]42 + 49 = 91\\\\91 = 91 \ \checkmark[/tex]

We get a true statement, so we have determined that Mr. Sprengel has:

42 pens49 pencils

Related Questions

Please help UwU
would mean so much :´)

Answers

Answer:

the answer is J

Step-by-step explanation:

Answer:H

find the slope

The average speed of greyhound dogs is about 18.4 meters per second. A particular greyhound breeder claims that her dogs are faster than the average greyhound. In a sample of 35 of her dogs, they ran, on the average, 18.7 m/s. Assuming a population standard deviation of 1.5 m/s and a .05 significance level.

Required:
Does this sample data provide evidence that the breeder's claim is correct?

Answers

Answer:

The calculated value    Z = 1.183 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

A particular greyhound breeder claims that her dogs are faster than the average greyhound

Step-by-step explanation:

Step(i):-

Given the average speed of greyhound dogs is about 18.4 meters per second.

Size of the sample 'n' = 35

mean of the sample x⁻ = 18.7

Population standard deviation = 1.5m/s

level of significance (∝)  = 0.05

Step(ii):-

Null hypothesis : H₀ : μ = 18.4

Alternative  hypothesis H₁ :  μ ≠ 18.4

Test statistic

              [tex]Z = \frac{x^{-} - mean}{\frac{S.D}{\sqrt{n} } }[/tex]

             [tex]Z = \frac{18.7-18.4}{\frac{1.5}{\sqrt{35} } }[/tex]

            Z = 1.183

Conclusion:-

The calculated value    Z = 1.183 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

A particular greyhound breeder claims that her dogs are faster than the average greyhound

Solve for b.

-9b = 27

Answers

Answer:

b=-3

Step-by-step explanation:

-9b/-9=37/-9

b=-3

Answer:

3

Step-by-step explanation:

number 6 solve for x

Answers

Answer:

c

Step-by-step explanation:

Brainliest if you get it right :)

Q: Which graph represents a proportional relationship?

I need this by today!

Answers

Answer:

option C

Step-by-step explanation:

I hope now it's helped

please help me asap​

Answers

Answer:

3. about 15

4. about 9

5. about 11

Step-by-step explanation:

Trust meh

3. Is about 15
4. Is about 9
5. Is about 11 :)

Find the indicated angle measures. Then justify each answer.

m angle 1​

Answers

Answer:

m<1 is 115°

This is said to be true by the alternate interior angles theorum which describes this situation

Step-by-step explanation:

Answer:

115

Step-by-step explanation:

alternate interior angles

The time (in minutes) required to learn the procedure for performing a certain task is uniformly distributed on the interval from 32 minutes to 52 minutes. (a) What is the probability that it takes more than 46 minutes to learn the procedure?(b) What is average time reqiured to learn the procedure?

Answers

Answer:

a

 [tex]P( X > 46) = 0.7 \ minute[/tex]

b

[tex]\mu = 42 \ minute[/tex]

Step-by-step explanation:

From the question we are told that  

   The procedure for performing a certain task is uniformly distributed on the interval from( a =  32 )minutes to (b= 52) minutes

  Generally the cumulative distribution function for continuous uniform distribution is  

             [tex]F(x) = \left \{ {{0 \ \ \ \ \ for \ x \ x < a} \atop {\frac{x-a}{b-a} } \ \ for \ a \le x \ge b} \atop {1 \ \ \ \ \ \ \ for \ x > b }\right.[/tex]

Generally the probability that it takes more than 46 minutes to learn the procedure is mathematically represented as

          [tex]P( X > 46) = F(46) = \frac{46 - 32}{52-32}[/tex]

=>       [tex]P( X > 46) = 0.7 \ minute[/tex]

Generally the average time required to learn the procedure is mathematically represented as

        [tex]\mu = \frac{a + b}{2}[/tex]

=>     [tex]\mu = \frac{32 + 52}{2}[/tex]

=>     [tex]\mu = 42 \ minute[/tex]

Which is the correct ?

Answers

Answer:

it is the 1st one

Step-by-step explanation:

because you have to add up all three sides  because you need 180 then subtract that answer from 180 and you will get your answer

estimate the quotient


7÷1,611

estimated

Answers

Answer:

The answer is 230.14

Easy long division

Which letter has reflectional, rotational, and point symmetry?
O
P
Q
L

Answers

The answer should be O

Express in slope form please

Answers

Y=1/4x+3 is the answer

which is an empty set?​

Answers

Answer:

A

Step-by-step explanation:

Evaluate the expression when

x = 32 and y = 2.

x / 4x

A) 1/16

B) 16/21

C) 2

D) 4

PLEASE HELP FAST!!

Answers

Answer:

C

Step-by-step explanation:

32/4 (4)

32/16 = 2

Therefore, the answer is C, 2.

I hope this helps! Please mark me brainliest if you can!

Represent the following sentence as an algebraic expression, where "a number" is the letter x. 8 is added to a number​

Answers

Answer:

x+8

Step-by-step explanation:

"a number" is x? And it is added to 8.

PLEASE HELP ME OUT HEREEEEEEEE

Answers

Answer:

7/10

Step-by-step explanation:

4 1/5 - 3 1/2 = 7/10

A train leaves the station at time t=0. Traveling at a constant​ speed, the train travels 280 kilometers in 2 hours. Answer parts a and b.

a. Write a function that relates the distance traveled d to the time t.

The function that relates the distance traveled d to the time t is

Answers

Answer:

d = 140t

Step-by-step explanation:

The function that relates the distance travelled d to the time t is d = f(t) = 140t.

What is Speed?

Speed is a scalar quantity which measures the rate of change of the position of an object without measuring on the direction.

In other words, it can be defined as the ratio of distance covered by an object to the time taken by the object to cover the distance.

The train leaves the station at time t = 0.

Distance travelled by the train = 280 kilometers

Time taken to travel the distance = 2 hours

Speed = Distance / Time

           = 280 / 2

           = 140 kilometers/ hour.

Given that train travels at a constant speed.

So for any distance 'd' and the time taken to travel the distance 't',

d / t = 140

d = 140t

d = f(t) = 140t

Hence the distance travelled by the train can be related to the time taken by the function, d = f(t) = 140t

To learn more about Speed, click :

https://brainly.com/question/28224010

#SPJ5

A coin is tossed 5 times find the probability that none are head

Answers

Answer:

20%

Step-by-step explanation:

trust me

Please answer on how to do this thanks

Answers

Answer:

M<E = 62°

Step-by-step explanation:

Since (8x-34)° and (5x+2)° are alternate interior angles, it means they equal each other so...

(8x-34)°= (5x+2)°

if you drop the parenthesis, you get

8x-34= 5x+2

Then you just solve and simplify it

3x= 36 ----> x= 12

Now you know what x is, you would plug it in to either one and you get 62 as your answer meaning m<E is 62°

8(12)-34= 62 (since this angle and angle E are parallel, the angles are the same and that is why if you plug x into this equation, you can find out what the angle of E is)

5(12) +2= 62 ( and since this angle is across from angle E, it means the angles are the same... so that's why if you plugged in x which is 12 into this equation, you can also find E)

I don't know if this helped or not.. it's kind of confusing and hard to explain without being able to show you... sorry.

PLEASE SOMEONE GIVE ME ANSWERS ​

Answers

Answer:

i think its E

Step-by-step explanation:

What should be done to both sides of the equation in order to solve n\4 = -12.4?


Multiply by -12.4

Divide by -12.4

Multiply by 4

Divide by 4

Answers

Answer:

You multiply both sides by 4

Step-by-step explanation:

You have the equation [tex]\frac{n}{4}=-12.4[/tex] ? I assume, remember to use the ' / ' (forward slash) to indicate division.Next we multiply 4 on both sides [tex]4*\frac{n}{4}=4*-12.4[/tex] Which gives us [tex]\frac{4n}{4} = - 49.6[/tex] Rewrite the left side as [tex]\frac{4}{4}*n=-49.6[/tex] Now 4 divided by 4 is 1, and 1 times n is n, so [tex]n=-49.6[/tex]

That's why we multiply by 4. Hope this helps

Answer:

multiply by 4

Step-by-step explanation:

Hi please do this answer and please show the (steps) on how you got it. ❤️

Answers

this is the answer!!!!!!

A basketball team played six games. In those games, the team won by 7 points, lost by 20, won by 8, won by 11, lost by 3, and won by 9. What is the mean amount by which the team won or lost over the six games?

Answers

Answer:

2

Step-by-step explanation:

Select from the drop-down menus to correctly complete each statement.

Answers

Answer:

posistive i think welp hope this helps :D

Step-by-step explanation:

Helppppp work out the values

Answers

Answer:

Step-by-step explanation:

When x=-2; y = -16+12= -4. This means a=-4

When x=-1; y= -2+3 = 1. This means b= 1.

When x=2; y = 16 +12 = 28 . This means c= 28

When x=4; y= 128+48 = 176. This means d= 176

PLEASE HELPP!

What is the slope of y = -4

Answers

Answer:

The slope is 0

Step-by-step explanation:

y = mx + b

y = 0x - 4

You can also graph it

Since the graph would be straight, the slope is 0

I WILL GIVE BRAINLIEST TO WHOMEVER ANWRS

Answers

Answer:

8000

Step-by-step explanation:

Answer:

994

Step-by-step explanation:

We have the expression:

[tex](8+t)^3-6[/tex]

And we want to evaluate it when t=2.

Hence, we will substitute 2 for t and evaluate. Therefore:

[tex]=(8+2)^3-6 \\\\ =(10)^3-6\\ \\ =1000-6\\\\=994[/tex]

Therefore, our final answer is 994.

The singularity of a galactic dying star creates a 4th dimensional outbreak. how would you deter the event horizon. if the expansion of the black hole is 1.0034ct per second.

current mass- 2.078 wid
mass of singularity- 00.01 wid

zero light emission, even horizon as of zero known to occur

Answers

If u tam 2.078 and divide it by .01 u get 2.078 so ur answer is 2.078

please I need help with this question asap.

the following rule describe the relationship between x and y.

Rule: To find y multiply x by 4 and then subtract 3.

complete the table for the given rule.

x. y.
1
2
3

select the graph that shows the relationship.
A or B





Answers

Answer:

The table is:

x        y

1         1

2        5

3        9

The graph B shows the relationship y=4x-3

Step-by-step explanation:

We need to fill the table using the rule:

To find y multiply x by 4 and then subtract 3.

Writing rule in mathematical form:

y=4x-3

Now for completing the table we need to put x=1,2 and 3 and find values of y

[tex]For x=1//y=4x-3\\ y=4(1)-3\\ y=4-3\\ y=1\\[/tex]

[tex]For \ x=2\\y=4x-3\\ y=4(2)-3\\ y=8-3\\ y=5[/tex]

[tex]For \ x=3\\y=4x-3\\ y=4(3)-3\\ y=12-3\\ y=9[/tex]

So, the table is:

x        y

1         1

2        5

3        9

The graph B shows the relationship y=4x-3

How to do this like what’s the steps to get the answer???

Answers

Answer:

480^12

Step-by-step explanation:

When you're multiplying exponents with the same base, the simplest way is to add the two exponents:

480^8 * 480^4 =

480^(8+4) =

480^12

Then solve, but your question doesn't ask for that.

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