(100 points)


4. MIke divided the group into 5 groups. If there were 28 people in each group how big was the original group?


a. What are they asking for? __________________


b. identify all the necessary numbers. __________________


c. write the equation or problem in numeric form. ______________


d. solve the math. ______________________________


e.write the answer. ______________________________


5. If he difference is 589 and the subtrahend is 339,what is the minuend?


a. What are they asking for? __________________


b. identify all the necessary numbers. __________________


c. write the equation or problem in numeric form. ______________


d. solve the math. ______________________________


e.write the answer. ______________________________


6. If the quotient is 17 and the dividend 765, what is the divisor?


a. What are they asking for? __________________


b. identify all the necessary numbers. __________________


c. write the equation or problem in numeric form. ______________


d. solve the math. ______________________________


e.write the answer. ______________________________

Answer:

[tex]sin {45}^{ \circ} = \frac{x}{2} \\ = > x = 2 \: sin {45}^{ \circ} \\ = > x = 2 \times \frac{1}{ \sqrt{2} } \\ = > \green{x = \sqrt{2} }[/tex]

[tex]tan {45}^{ \circ} = \frac{x}{y} = \frac{ \sqrt{2} }{y} \\ = > y = \frac{ \sqrt{2} }{tan {45}^{ \circ} } \\ = > y = \frac{ \sqrt{2} }{1} \\ = > \pink{ y = \sqrt{ 2 } }[/tex]

Answer:

c

Step-by-step explanation:

30°+90°+x=180°  (the sum of interior angle of a triangle is 180°)

120°+x=180°

x=180°-120°

x=60°

Answer:

Because this question was posted 4 days ago I'm assuming that you Oliver don't need any help anymore,... BUT,... with the amount of info given it is not possible to answer the question for example,...

All of that adding up to $64

All of that adding up to $64

AND All of that adding up to $62

You get the point,... Hope that helped and see you in life,... (well actually because we're probably never going to meet each other in real life then no I probably won't see you in life,... but, I mean, you get the idea) Chow!

Answer:

M is 4

Step-by-step explanation:

in order to solve, 13=2m+5, you need to subtract 5 from both sides.

13=2m+5

-5        -5

Which is,

8=2m, then you divide both sides by 2. That gives you, 4=m. Therefor, m is 4.

Answer:

0

Step-by-step explanation:

zero is not a natural number,it is a whole number

Answer:

0

Step-by-step explanation:

Natural numbers are all positive whole numbers starting at 1 to infinity. So, 0 isn't a natural number.

Answer:

v = 3

General Formulas and Concepts:

Pre-Algebra  

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

12v + 10v + 14 = 80

Step 2: Solve for v

Answer:

-1.6

Step-by-step explanation:

0 = 3x + 5

-3x = 5 /÷(-3)

x = -5 ÷ 3

x = -1.6 -5/3

Answer:

1/14

Step-by-step explanation:

2/28÷2=1/14

Answer:

2/9

Step-by-step explanation:

LCM of 3 and 9 = 9

[tex]\dfrac{1}{3}=\dfrac{1*3}{3*3}=\dfrac{3}{9}\\\\\\Rational \ number \ between \dfrac{1}{9} \ and \dfrac{3}{9} \ is \dfrac{2}{9}[/tex]

Answer:

99/280

Step-by-step explanation:

24.75/70

Multiply the top and bottom by 100

2475/7000

Divide the top and bottom by 25

99/280

Answer: $[tex]\frac{9.9}{28}[/tex]

Step-by-step explanation:

[tex]\frac{24.75}{70}[/tex] is the fraction.

First for convenience, let us convert the decimal into a whole number by multiplying both numerator and denominator by 100. This is not necessary and the final answer will be the same but doing this step will make it easier to divide.

{[tex]\frac{24.75 * 100}{70 * 100}[/tex]} = [tex]\frac{2475}{7000}[/tex]

Now, since it is not in its lowest form we need to simplify it.

For ease, we can find the HCF of 2475 and 7000 which is 25 and divide both numerator and denominator with it.

After simplifying, the final answer is [tex]\frac{99}{280}[/tex].

However we need to put back the decimal places.

Final answer is  $[tex]\frac{9.9}{28}[/tex]

Answer:

-4x-3y+3z

Step-by-step explanation:

(-5x-3y)-(-x-3z)

-5x+x-3y+3z

-4x-3y+3z

Answer:

6 + x^2

Step-by-step explanation:

Plug in the values for A and B.

(-x + 2x - x + 1) + (x^2 + 5)

Remove the parenthesis. Combine like terms.

-2x + 2x = 0

1 + x^2 + 5

Combine like terms again.

6 + x^2

Answer:

3.61%

Step-by-step explanation:

Mathematics, calculator

Answer:

Step-by-step explanation:

If we are looking for the probability that the battery lasts between 7 and 8 years, we find the z-score for the probability that it lasts less than 8 years, and then subtract from it the z-score for the probability that it lasts less than 7 years. This subtraction will give you what's left: the span in between 7 and 8 years. To find the z-score:

[tex]z=\frac{x_i-\mu}{\sigma}[/tex] Therefore,

P(x < 8) has a z-score of

[tex]z=\frac{8-5}{1.2}=1.667[/tex] The p-value that accompanies this z-score is .99379 (which translates to 99.379% of the data falling below 8 years) and

P(x < 7) has a z-score of

[tex]z=\frac{7-5}{1.2}=2.5[/tex] The p-value that accompanies this z-score is .95224 (which translates to 95.224% of the data falling below 7 years).

Subtract the p-value of 2.5 from the p-value of 1.667 to get

.99379 - .95224 = .04155 = 4.16%, choice A.

Answer:

Chukwu's share is of $57.

Step-by-step explanation:

This question is solved by a system of equations.

I am going to say that:

Chukwu's share is x.

Abdul's share is y.

Kunle's share is z.

Chukwu, Abdul and kunle are to share $142

This means that [tex]x + y + z = 142[/tex]

Abdul gets $11.00 less than Chukwu

This means that:

[tex]y = x - 11[/tex]

$7.00 more than Kunle.

This means that:

[tex]y = z + 7[/tex]

So

[tex]z = y - 7[/tex]

[tex]z = x - 11 - 7[/tex]

[tex]z = x - 18[/tex]

How much is Chukwu's share?

We want to find x, so:

[tex]x + y + z = 142[/tex]

[tex]x + x - 11 + x - 18 = 142[/tex]

[tex]3x - 29 = 142[/tex]

[tex]3x = 171[/tex]

[tex]x = \frac{171}{3}[/tex]

[tex]x = 57[/tex]

Chukwu's share is of $57.

Answer:

f(-2) = 4

Step-by-step explanation:

Looking at the graph, at -2 the graph is at the point (-2,4). Therefore, the value of f(-2) is 4.

Answer:

58

Step-by-step explanation:

90+32= 122

180-122=58

Answer:

X = 122°

Step-by-step explanation:

A triangle has 180 degrees total in it. You need the degree next to the x in order to solve.

32° + 90° = 122°

180° - 122° = 58°

The line is 180°.

180° - 58° = 122°

So x - 122°

Sorry if this was hard to understand but I hope I helped :)

Answer:

a = 38

Step-by-step explanation:

The two angles add to 90 degrees

a+52 = 90

a = 90-52

a = 38

Answer:

Below

Step-by-step explanation:

The little box on the angle indicates that it is 90 degrees

All you need to do now to find angle a is to subtract 52 from 90...

90 - 52 = 38 degrees

Hope this helped!

Answer:

-35

Step-by-step explanation

A predecessor is something that came before the current version, and -36 is negative so before -36 is -35

Answer:

the correct answer is -34

Step-by-step explanation:

A predecessor is something that came before the current version.

hope it helps you

Answer:

23x + 12y + -4xy^2

Step-by-step explanation:

So lets first expand

3y (-4 x(5x - 3y + y^2)

let's ignore 3y for now

Since 5x - 3y + y^2 can't be simplified, we move on to multiplying each number.

note: Capital X = Multiplying symbol

___________________________________

-4 X 5x, -4 X - 3y, -4 X y^2

= -20x + 12y + -4xy^2

now we bring back the 3x

3x - -20x + 12y + -4xy^2

so now we simplify, by finding like terms

= 23x + 12y + -4xy^2

Answer:

jajjskslslskjsjxjj k k

Answer:

5x43

it can only be divided by 1, 5, and 43.

When 215 is written as a product of its prime factor, the result is 5 × 43.

To find the prime factorization of 215, we'll divide it by its smallest prime factor and continue the process until we get all the prime factors. Here's the step-by-step breakdown:

Divide 215 by the smallest prime number, which is 5. We get:

215 ÷ 5 = 43

43 is a prime number, so we stop here.

Now, the prime factorization of 215 is:

215 = 5 × 43

Learn more about prime factor here: https://brainly.com/question/18187355

#SPJ2

Answer:

x < -7/2

Step-by-step explanation:

First, perform the indicated multiplication:

4(1-2x)>32 becomes 4 - 8x > 32.  

Next, isolate the -8x term by subtracting 4 from both sides of this inequality:

-8x > 28

Finally, solve for x by dividing both sides by -8.  This requires that we reverse the direction of the inequality sign:

x < -28/8, or, after reduction, x < -7/2

Answer:

Step-by-step explanation:

5y=...:

y=5-13

y=-8=>5y=-58

6x-(-58)=13

6x+58=13

6x =13-58

6x =-45

x =-45:6

x =-7.5

Answer:

Step-by-step explanation:

The standard form of an exponential equation is [tex]y=a(b)^x[/tex] where y is the final count of the population after some time, x, goes by; a is the initial or starting amount of people (our unknown), and b is the growth rate. For us, y is 33620, the time is x = 2 years, and the growth rate is .025; but if we are growing we are expanding on the amount that we started with, so b = 100% + 2.5% = 102.5% and in decimal form, 1.025.

[tex]33620=a(1.025)^2\\33620=1.050625a[/tex] so

a = 32000

The initial population is 32000

Answer:

98

Step-by-step explanation:

1) You shulduse the formula x^2-y^2= (x-y)(x+y)

That obvious, that 9.9 is considered as x, and 0.1 as y

2) So  9.9²- 0.1²​= (9.9-0.1) * (9.9+0.1)=9.8*10=98

Answer:

The correct answer is 6.768.

Step-by-step explanation:

(4.23)(1.6) = 6.768

Answer:

6.768

Step-by-step explanation:

(4,23)(1.6)=6.768

Answer:

Equivaldría a 45.9 litros de leche de vaca.

Step-by-step explanation:

Esta pregunta se resuelve por proporciones, usando una regla de tres.

Un litro de leche de búfala equivale a 1.7 litros de leche de vaca.

27 litros de leche de buffalo - x litros de leche de cava

1 - 1.7

Aplicando multiplicación cruzada :

[tex]x = 27*1.7 = 45.9[/tex]

Equivaldría a 45.9 litros de leche de vaca.

Answer:

2 cups

Step-by-step explanation: