Mo has five number cards.
Here is some information about his number cards.
• The cards are in ascending order.
• The range of the number cards is 32
The greatest number divided by the median number is 8
• The three numbers in the middle have a product of -36
What could Mo's number cards be?

Mo Has Five Number Cards.Here Is Some Information About His Number Cards. The Cards Are In Ascending

Answers

Answer 1

Answer:

-16 -6 2 3 16

Step-by-step explanation:

Answer 2

Using basic knowledge of arithmetic operators, we find that a possible choice of Mo's number card is -16, -6, 2, 3 and 16.

What are arithmetic operators?

The arithmetic operators perform addition, subtraction, multiplication, division, exponentiation, and modulus operations.

Given the information about the five numbers.

Let the five numbers be a < b < c < d < e.

Let a = -16 to begin with.

Given, range = 32 implies that e - a = 32.

e = 32 + a = 32 - 16 = 16

The greatest number divided by the median number is 8.

Greatest number = e = 16

Median = middle number  = c

[tex]\frac{e}{c} = 8\\ \\c = \frac{e}{8} = \frac{16}{8} = 2[/tex]

The three numbers in the middle have a product of -36.

[tex]bcd = -36\\\\bd = \frac{-36}{2} = -18\\[/tex]

Since, bd = -18, one of b or d has to be negative.

We know, b < d, thus b is negative and d is positive number.

Also, b < 2 and d > 2.

The best possible choice is b = -6 and d = 3.

The 5 numbers chosen by Mo are -16, -6, 2, 3 and 16.

Learn more about arithmetic operations here

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Related Questions

7/8 divided by 3/9
please show steps and explain how so i can understand

Answers

Answer:

21/8

Step-by-step explanation:

okay so what we have to do is called flip n' multiply, so we leave the first fraction the way it is and the second one, we flip. so instead of 3/9, it would be 9/3. now we just do 7/8 times 9/3 to get 63/24 which I believe will be simplified to 21/8

Answer:

Seven eighths divided by three ninths is equal to twenty-one eights.

Step-by-step explanation:

The easiest way to divide one fraction by another is to simply multiply the first one by the second one.  It's that easy:

[tex]\frac{7}{8} \div \frac{3}{9}[/tex]

is exactly the same as:

[tex]\frac{7}{8} \times \frac{9}{3}[/tex]

Which we can then solve by multiplying the numerators by each other and multiplying the denominators by each other

[tex]\frac{7}{8} \times \frac{9}{3}\\\\ = \frac{7 \times 9}{8 \times 3} \\\\ = \frac{63}{24} \\\\ = \frac{21}{8}[/tex]

Another way you can solve it is by noting that in the second number, both the numerator and denominator are divisible by 3, which gives a way to simplify before doing the division:

[tex]\frac{7}{8}\div \frac{3}{9}\\\\= \frac{7}{8}\div \frac{1}{3}\\\\= \frac{7}{8}\times \frac{3}{1}\\\\= \frac{7}{8}\times 3\\\\= \frac{21}{8}[/tex]

Could the table of (x,y) pairs

x y
0 0
1 1
2 4
3 9

have been generated by a linear function.

Choose 1 answer

A. Yes
B. No

Answers

The answer is B for this linear function

A travel agency created a pamphlet for a city. They chose the high temperature for 10 random days during the year to calculate the temperature for the entire year, as shown below.
What was the mean daily temperature?

Answers

A. 68.4 degrees
Add all the temperatures together and divide by the number of days

Bacteria growth. A colony of bacteria is grown under ideal conditions in a laboratory so that the population increases exponentially with time. At the end of 3 h there are 10,000 bacteria. At the end of 5 h there are 40,000 bacteria. How many bacteria were present initially

Answers

Answer:

1250 bacteria

Step-by-step explanation:

The formula for Exponential Growth is given as:

P(t)= Poe^rt

Where

P(t) = Population after time t

Po = Initial Population

r = growth rate

t = time

Hence, solving for the above question , we have to find Po

Making Po the subject of the formula

Po = P(t)/e^rt

Step 1

Find the Exponential growth rate

At the end of 3 h there are 10,000 bacteria.

Hence:

Po = 10000/e^3r.... Equation 1

At the end of 5 h there are 40,000 bacteria.

Po = 40000/e^5r..... Equation 2

Equating both equations together,

10000/e^3r = 40000/e^5r

Hence:

e^5r/e^3r = 40000/10000

e^2r = 4

Take the In of both sides

In (e^2r) =In 4

2r= In 4

r = In 4/2

r = In 2

Step 2

Solve for Po(Initial Population)

Using Equation 2

Po = 40000/e^5r..... Equation 2

r = In2

Po = 40000/e^5 × In 2

Po = 40000/2⁵

Po = 1250 bacteria.

Therefore, they was 1250 bacteria initially


Sara wants to save 20% of the $150 she received for her birthday. How much money does Sara want to save?

Answers

Answer:

$30

Step-by-step explanation:

Answer:

Sara wants to save 30 dollars.

Step-by-step explanation:

You turn 20% into a decimal which 20%= 0.20

Then you multiply 150 x 0.20 =30

So Sara wants to save $30.

an architect draws a plan for a wheelchair ramp on the plan, the ramp is 2cm high and 24cm long what might the dimensions of the actual ramp be

Answers

Answer:

Step-by-step explanation:

Find the value of x in the triangle.
67 113
293
7

Answers

Answer:

         x = 67°

Step-by-step explanation:

The sum of measures of angles in triangle is allways 180°

So:

   x + 53° + 60° = 180°  {subtract 113° from both sides}

   x = 67°

m divided by 19 = -2

(Find m)

Answers

M=38 I hope it helps
Can u give me the brainliest ^^ plz ☺️☺️

Dado f(x)=14(5−x)2 cual es el valor de F(11)?

Answers

Va ser f(x)=14(5-x)2
Entonces nomas multiplica lo por 11.
14(5-11)^2

Find the value of 3√8​

Answers

Answer:

8.49

Step-by-step explanation:

The area of a parallelogram is 33.8 cm2. If the base of the parallelogram is 2.6 cm, what is the length of the
height?

Answers

Answer:

33.8cm^2/ 2.6= 13cm

Step-by-step explanation:

area of a parallelogram= b (x) h

so all you do is the inverse in these kind of situations

Please halpppp I’ll give brainliest if I can/ know how to!

Answers

Answer:

point A = (3,9)

point D = (9,3)

point B = (6,5)

point C = (5,6)

Step-by-step explanation:

there's not really much to explain so yeah.

so the one located at 3,9 would be A

the one that says 9,3 that would be D

the one that says 6,5 would be B

and 5,6 would be C

Step-by-step explanation:

what u should do is to start from the x axis which is at the bottom so eg u have 4,5...4 would go at the X axis and the 5 would go at the Y axis..so u should always start from the x axis basically

hoped this helped

Solve: (a-7)(a+1) = 0

Answers

Answer:

0

Step-by-step explanation:

Answer:

a = −1 or a = 7

Step-by-step explanation:

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

( a − 7 ) ( a + 1 ) = 0

Step 1: Simplify both sides of the equation.

a^2 − 6a − 7 = 0

Step 2: Factor left side of equation.

( a + 1 ) ( a − 7 ) = 0

Step 3: Set factors equal to 0.

a + 1 = 0 or a − 7 = 0

a = −1 or a = 7

Solve for x. ax + b = cx + d​

Answers

x = [tex]\frac{d - b}{a -c}[/tex]

hope this helps <3

Is 5 a solution for the inequality x > -6?


Answers

Answer:

yes

Step-by-step explanation:

Given

x > - 6

That is if x is greater than - 6 then it is a solution

x ∈ { - 5, - 4, - 3, - 2, - 1, 0, 1, 2, 3, 4, 5, .... } ← are all valid solutions

Thus 5 is a solution to x > - 6

Angela baked 5 batches of lemon sugar cookies with 17.5 cups of flour. She also made 3 batches of vanilla cookies using 11.25 cups of flour. Which type of cookies required more flour per batch?

Answers

vanilla cookies require more flour per batch

vanilla cookies = 3.75 cups of flour per batch
lemon sugar cookies = 3.5 cups of flour per batch

explanation:

lemon sugar cookies -
divide # of cups by the # of batches
17.5/5= 3.5

vanilla cookies -
divide # of cups by the # of batches
11.25/3= 3.75

to double check:
multiply 3.75 by 5 and you will see 5 batches of vanilla cookies will use 18.75 cups
and 5 batches of lemon cookies takes 17.5 cups

hope this helps !!!

Is the following number rational or irrational?
– 1
Choose 1 answer:
A
Rational
B
Irrational

Answers

Answer:

B.

Step-by-step explanation:

Irrational as π is irrational.

Find the range of the function y = 3/4 x + 17 when the domain is -12, -4, 8​

Answers

Answer:

The range of  the function y = 3/4 x + 17 when the domain is -12, -4, 8​ is 8,14,23

Step-by-step explanation:

We need to find the range of the function y = 3/4 x + 17 when the domain is -12, -4, 8​

Basically, we need to find value of y when x is -12,-4 8

The values of y is the range of the given function.

Put x = -12

[tex]y = \frac{3}{4} x + 17\\y= \frac{3}{4} (-12) + 17\\y=3(-3)+17\\y=-9+17\\y=8[/tex]

When x = -12, y= 8

Put x = -4

[tex]y = \frac{3}{4} x + 17\\y= \frac{3}{4} (-4) + 17\\y=3(-1)+17\\y=-3+17\\y=14[/tex]

When x = -4, y = 14

Put x = 8

[tex]y = \frac{3}{4} x + 17\\y= \frac{3}{4} (8) + 17\\y=3(2)+17\\y=6+17\\y=23[/tex]

So, when x = 8, y = 23

The range of  the function y = 3/4 x + 17 when the domain is -12, -4, 8​ is 8,14,23

Answer:

The range of  the function y = 3/4 x + 17 when the domain is -12, -4, 8​ is 8,14,23

I need help some questions and good morning :)

Answers

The first one on the very top is the correct answer

Four gallons of gasoline cost $15.56. What is the price per gallon?​

Answers

Answer:

3.89

Step-by-step explanation:

You just divide 15.56 by 4.... and that's how you get the answer :)

Answer:

i think $1.12. maybe

Step-by-step explanation:

How does the graph of y = 3X compare to the graph of y = 3-X?

Answers

The graph of y = 3x is a positive slope and the x and y intercepts are about the origin. The graph of y = 3-x is a negative slope and its y and x intercepts are near the origin but not centered. Hope this helps!

Answer:

THE GRAPHS ARE REFLECTED OVER THE Y_AXIS

Step-by-step explanation:

edge 2022

please dont answer random stuff for points

Answers

Answer:

now how did you knew people was doing it

Step-by-step explanation:

it C trust

Answer:

The answer is 28 (option D)

Step-by-step explanation:

Im big Brain

PLEASE HELP ME PLEASE

Answers

Answer :with what

Step-by-step explanation:

1. What order do the quadrants in a Cartesian plane go in? I’ll give brainiest :)

Answers

Answer:

Counterclockwise

Step-by-step explanation:

The cartesian plane is divided into four quadrants. These are numbered from I through IV, starting with the upper right and going around counterclockwise. Hope this helps!

Answer:

Counterclockwise

Which of the expressions below will have a remainder? Select all that apply.
A) 733÷4
B) 384÷3
C) 296÷5
D) 819÷2

Answers

Answer:

a , c , d

Step-by-step explanation:

Answer:

Fwee pointz, wite? bc ppl already answered XD it from over a week ago too

Step-by-step explanation:

what is 25-9m^2-m+4m^3 in standard form?​

Answers

Answer:[tex]4m^{3}-9m^{2}-m+25[/tex]

Step-by-step explanation:

The diagram shows a circle inside a
Square
C
6cm
Calculate the shaald area.
Take It to be 3.142.

Answers

Answer:

7.722cm^2

Step-by-step explanation:

area of square=l^2=6^2=36cm^2

area ofcircle=π(d÷2)^2=3.142(6÷2)^2=3.142×9=28.278cm^2

where d=l=6cm

area of shaded =area of (square-circle)=36-28.278=7.722cm^2

I need help on all of number 2!!!!

Answers

9514 1404 393

Answer:

  a: 0; b: 1; c: 1; d: ∞; e: 0; f: ∞

Step-by-step explanation:

Simplify the expressions to put the left and right in the same form. Then compare. If the x-coefficients are the same, there will be 0 or ∞ solutions. If they are different, there will be 1 solution.

If the x-coefficients are the same, look at the constants. If they are different, there will be 0 solutions. If they are the same, there will be ∞ solutions.

__

a) -2x -10 = -6x +4x -8  ⇒  -2x -10 = -2x -8 . . . . 0 solutions

b) 0.8x -4.8 = -0.5x +3.4 . . . . 1 solution

c) -1/4x -7/2 = -3x -4 . . . . 1 solution

d) 2x -8 +x = 3x -6 -2  ⇒  3x -8 = 3x -8 . . . . ∞ solutions

e) 3 -2/5x -12/5 = 2 -2/5x  ⇒  -2/5x +3/5 = -2/5x +2 . . . . 0 solutions

f) 6x -6 +21 = 6x +15  ⇒  6x +15 = 6x +15 . . . . ∞ solutions

Answer:

a)3x+7x-8=18

3x+7x=18+8

10x=18+8

10x=26

x=13/5

b)-8+2x=12x-3

-8+2x-12x=-3

2x-12x=-3+8

-10x=-3+8

-10x=5

x=-1/2

e)4/3x-18+2/3x=7/3x+9

4x-54+2x=7x+27

6x-54=7x+27

6x-7x-54=27

6x-7x=27+54

-x=27+54

-x=81

X=-81

d)-2x-4/5 +8/5 =3x-3

-2x-4+8=15x-15

-2x+4=15x-5

-2x-15x+4=-15

-2x-15x=-15-4

-17x=-15-4

-17x=-19

x=19/17

Step-by-step explanation:

which expressions are equvalent to 2(b+3c)

Answers

What are the choices?

What is m angles ABD in the figure shown?

Answers

Answer:

∠ ABD = 19°

Step-by-step explanation:

Since AB and BC are congruent, then Δ ABC is isosceles and the base angles are congruent, that is

∠ BAD = ∠ BCD = 71° , thus

∠ ABC = 180° - (71 + 71) ← angle sum of triangle

∠ ABC = 180° - 142° = 38°

DB is an angle bisector , thus

∠ ABD = 0.5 × 38° = 19°

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