Kari estimated the quotient of Negative 12 and one-fifth divided by 4 and two-fifths to be –8. Which best describes her error? Kari multiplied the compatible numbers –12 and 4. Kari found that the quotient of a negative number and a positive number is negative. Kari found that the quotient of a positive number and a negative number is positive. Kari added the compatible numbers –12 and 4.

Answers

Answer 1

Answer:

D. Kari added the compatible numbers –12 and 4.

Step-by-step explanation:

Our numbers are [tex]-12\frac{1}{5}[/tex] and [tex]4\frac{2}{5}[/tex]. We want to find Kari's error. Let's look through the answer choices and try them out:

A: "Kari multiplied the compatible numbers –12 and 4"

Well, if we multiply -12 by 4, we get -48, which is very different from -8, so A cannot be right.

B: "Kari found that the quotient of a negative number and a positive number is negative"

This is actually a true statement because whenever we multiply or divide a positive number and a negative number, the result is always negative. So, this isn't an error. B is wrong.

C: "Kari found that the quotient of a positive number and a negative number is positive"

If B is a true statement, C must be false - and that's right: it is false because the quotient of a positive number and a negative number is always negative not positive. Eliminate C.

D: "Kari added the compatible numbers –12 and 4"

What do we get if we add -12 and 4? We get: -12 + 4 = -8, which is exactly the number that Kari got. So instead of dividing, Kari accidentally added and got -8, which is the wrong answer. Thus, D is correct.

Answer 2

Answer:

Last one

Kari added the compatible numbers –12 and 4.

Step-by-step explanation:

-12⅕ ÷ 4⅖

-61/5 ÷ 22/5

-61/5 × 5/22

-61/22

She probably got -8 by adding -12 and 4


Related Questions

15 POINTS. AND I WILL MARK BRAINLIEST!!!!
what is the angle of rotation symmetry for a shape that has rotational symmetry of order 5?

Answers

Answer: 72 degrees

Step-by-step explanation:

The circular ring of the fountain has a radius of 9 feet. What is the area of the ring?

Answers

Answer:

about 254.47

Step-by-step explanation

Circle are equation: pi(r)^2

pi(9)^2 = 254.47

The arc length
shown below is 15 feet.
State the equation that relates arc length to central angle.
Find the angle
in radians.
Convert your answer from Part II to degrees and write it to the nearest hundredth of a degree.

Answers

Answer:

s = rθ2.5 radians143.24°

Step-by-step explanation:

The applicable formula is ...

  s = rθ

where s is the arc length, r is the circle's radius, and θ is the central angle in radians.

Filling in the given values, we find ...

  15 = 6θ

  θ = 15/6 = 2.5 . . . radians

Pi (π) radians is 180°, so the angle in degrees is ...

  2.5(180°/π) ≈ 143.24°

Solve this equation.What is the length of x?

Answers

Answer:

6. 12.5 cm

7. 0.7241

Step-by-step explanation:

6.

You have 2 right triangles. You can use the Pythagorean theorem for each one.

a^2 + b^2 = c^2

Let y = length of vertical side between triangles.

Left triangle:

5^2 + y^2 = 13^2

25 + y^2 = 169

y^2 = 144

y = 12

Right triangle:

3.5^2 + 12^2 = x^2

12.25 + 144 = x^2

x^2 = 156.25

x = 12.5

Answer: x  12.5 cm

7.

For <X, 2.0 ft is adj leg. 2.9 ft is hyp.

cos X = 2.0/2.9 = 0.6897

X = cos^1 0.6897 = 46.397 deg

sin X = sin 46.397 deg = 0.7241

Hello i need help i only have 20 minutes help mee

Answers

Answer:

The first one

Step-by-step explanation:

Do you really want an explanation  :v

Answer:

Can’t really see the end of the question but if it is 3/w it is most likely

c

Step-by-step explanation:

Daniel cut a square cake vertically to make two rectangle slices. Each rectangle had a perimeter of 45 inches. How long is each side of the original square cake?

Answers

Answer:

15 inches

Step-by-step explanation:

As the square cake was cut in two equal pieces, we have that one side of the rectangle is the double of the other side, so we have that:

2*Length + 2*Width = 45

Length = 2*Width

So using the value of length in the first equation, we have:

4*Width + 2*Width = 45

6*Width = 45

Width = 7.5

Length = 2*Width = 15

So each side of the original cake is equal to the length of the rectangle pieces, that is, 15 inches.

Mindy and Troy combined ate 9 pieces of the wedding cake. Mindy ate 3 pieces of cake and Troy had \dfrac14
4
1

start fraction, 1, divided by, 4, end fraction of the total cake.

Answers

it’s 28 bc the 4 divided by 1 is =7

Answer:

Equation: 3 + 1/4c = 9

24 pieces of cake

Step-by-step explanation:

from khan :))

A taxi charges $3, plus $1.50 for each mile traveled. Mr. Hill rode in the taxi
from his home to the airport and was charged $30. How many miles does
Mr. Hill live from the airport?

Answers

Answer:

18 miles from the airport

Answer:

18

Step-by-step explanation:

30-3=27 divided by 1.50=18

please answer this. 20 points

Answers

Answer:

figure ii

Step-by-step explanation:

counterclockwise is this way >>>

thus making figure 2 the version of circle A spun counterclockwise

It is counterclockwise

The points A-1,-9) and K(5,1) are endpoints of a diameter of circle 5. Which equation represents circle S?
A. (x - 2)2 + (y + 4)2 = 34
B. (x - 2)2 + (y + 4)2 = 136
C. (x + 2)2 + (-4)2 = 34
D. (x + 2)2 + (-4)2 = 136

Answers

Answer:

A

Step-by-step explanation:

if (x1,y1) and (x2,y2) are the extremities of diameter,then eq. of circle is

(x-x1)(x-x2)+(y-y1)(y-y2)=0

reqd. eq. is (x+1)(x-5)+(y+9)(y-1)=0

[tex]x^{2} +x-5x-5+y^2+9y-y-9=0\\x^{2} -4x+y^2+8y-14=0\\compare with x^2+y^2+2gx+2fy+c=0\\center (-g,-f) \\radius r=\sqrt{g^2+f^2-c}[/tex]

center is (2,-4)

r=√(2²+(-4)²-(-14))

=√(4+16+14)

=√(34)

eq. of circle is (x-2)²+(y+4)²=34

or

(x²-4x)+(y²+8y)=14

(x²-4x+4)+(y²+8y+16)=14+4+16

(x-2)²+(y+4)²=34

A sphere-shaped beach ball is 16 inches in diameter. How many cubic inches of air will the ball hold when it is fully inflated? Use 3.14 for π. Round your answer to the nearest tenth.
a.682.7 cubic inches
b.2,143.6 cubic inches
c.5,461.3 cubic inches
d.17,148.6 cubic inches

Answers

5,41.3 cubic inches

Lisa has played in 6 soccer matches. Her brother Josh has played in 18 soccer
matches. Lisa says Josh has played in 12 times as many matches as she has
Use the drop-down menus to explain why Lisa's statement is not correct

Answers

Answer:

Josh has played 12 MORE matches then her. Not 12 TIMES as many matches. The correct answer would be he haas played 12 more matches then her or 3 times as many matches as her.

Step-by-step explanation:

Un laboratorio comercializa perfume en frascos que tienen una capacidad de 3/20 de litros ¿ cuantos litros de perfume se han de fabricar para llenar 1.000 frascos?

Answers

Answer:

Se debe fabricar 150 litros para llenar 1.000 frascos

Step-by-step explanation:

Segun los datos en el ejercicio un laboratorio comercializa perfume en frascos que tienen una capacidad de 3/20 de litros.

Para saber cuantos litros de perfume se han de fabricar para llenar 1.000 frascos hay que multiplicar la capacidad de los frascos por el número de frascos con el siguiente calculo:

litros de perfume se han de fabricar para llenar 1.000 frascos=(1,000/20) x 3

litros de perfume=50 x3

litros de perfume=150

Se debe fabricar 150 litros para llenar 1.000 frascos

Y=12x+7 find an equation for the inverse relation

Answers

Answer:

y= 5x

Step-by-step explanation:

I hope this helps and that it is correct.

Which expression is equivalent to 2.2 - 2.5?
A 2.5 - 2.2
B 2.2 + 2.5
C 2.2+(-2.5)
D 2.2 - (-2.5)

Answers

Answer:

C

Step-by-step explanation:

2.2-2.5

Since a + and a - make a minus if we have 2.2+(-2.5) we would get 2.2-2.5. So C is the anwser.

If the sides of a triangle are in the ratio 5 is to 4 is to 3 and its area is 54 CM square find perimeter ​

Answers

Answer:

Perimeter = 36 cm

Step-by-step explanation:

Ratio of sides = 5:4:3

Sides are:

a =  5x ; b= 4x ; c =  3x

Semi perimeter  S = (a + b+ c )/2 = (5x + 4x +3x)/2 = 12x /2  = 6x

S - a = 6x - 5x = x

S - b = 6x - 4x = 2x

S - c = 6x - 3x = 3x

[tex]Area=\sqrt{S*(S-a)*(S-b)*(S-c)}\\\\\sqrt{6x*x*2x*3x}=54\\\\\sqrt{36x^{4}}=54\\\\6x^{2}=54\\\\x^{2}=\frac{54}{6}\\\\x^{2}=9\\\\x=\sqrt{9}\\\\ x=3\\[/tex]

sides of triangle:

a = 5x = 5*3 = 15 cm

b = 4x = 4*3 = 12 cm

c = 3x = 3*3 = 9 cm

Perimeter =  15 + 12 + 9 = 36 cm

Use the Quadratic Formula to solve 2x^2=5x=6. Leave your answer in radical form. Show all work!

Answers

Answer:

[tex]x=\frac{-5+-i\sqrt{23} }{4}[/tex]

Step-by-step explanation

The quadratic formula is [tex]x=-\frac{-b+-\sqrt{bx^{2 -4ac} } }{2a}[/tex]

Answer:

-5  ± sqrt(73))  

 ----------------------------

       4

Step-by-step explanation:

2x^2 +5x =6

Subtract 6 from each side

2x^2 +5x -6 =0

This is in the form

ax^2 +bx+c  where a=2  b=5 and c=-6

The quadratic is -b ± sqrt(b^2 -4ac)  

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

                                         2a

-5  ± sqrt(5^2 -4(2)(-6))  

 ----------------------------

       2(2)

-5  ±sqrt(25 +48))  

 ----------------------------

       4

-5  ± sqrt(73))  

 ----------------------------

       4

Use Pythagorean Theorem to find the missing side length. Round to the nearest tenth.

Answers

Answer:

15.1

Step-by-step explanation:

The Pythagorean theorem is

a^2 +b^2 = c^2

23^2 + b^2 = 27.5^2

529 +b^2 =756.25

Subtract 529 from each side

529-529+b^2 =756.25-529

b^2 =227.25

Take the square root of each side

b =sqrt(227.25)

b =15.07481343

To the nearest tenth

b = 15.1

Answer:

15.1

Step-by-step explanation:

how do I solve for x and y? ​

Answers

8/20=y/25
(0.4=y/25)*25
Y= 10
__________
8/20=(x+4)/15
0.4*15=x+4
6=x+4
X=2

Answer:

x=2  y=10

Step-by-step explanation:

The triangles are similar so we can use ratios to solve

15            20

-----  = -------------

x+4         8

Using cross products

8*15 = 20 (x+4)

120 = 20(x+4)

Divide each side by 20

120/20 = 20(x+4)/20

6 = x+4

Subtract 4 from each side

6-4 = x+4-4

2 =x

25            20

-----  = -------------

y           8

Using cross products

25*8 = 20y

200 =20y

Divide by 20

200/20 = 20y/20

10=y

I NEED HELP FAST, 20POINTS
Which of the following statements is true?

| A | < | D |
A + B = D
C ≥ D
| B | > C

Answers

Answer:

| A | < | D |

Step-by-step explanation:

| A | is going to be 4 units since A = -4

| D | i sgoing to be 3 units since D = 3

Answer:

The answer is |A|< |D|

Step-by-step explanation:

Just did it and it was right

Round off 9852 to 1 significant figure

Answers

Answer:

10000

Step-by-step explanation:

9852

Means we are rounding to the thousands place

We look at the hundreds place

8 is greater than or equal to 5 so we round the thousands place up

9 becomes 10

9852 becomes 10,000

Answer:

Step-by-step explanation:

10000

State the degree of each expression.
1) 10x10 + x

Answers

Answer:

10x10x10

Step-by-step explanation:

Thus, shown in long form, a power of 10 is the number 1 followed by n zeros, where n is the exponent and is greater than 0; for example, 106 is written 1,000,000. When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01. if im not right i tried to fix the math question

Find the measure of the reference angle for each given angle. Part 1
10. θ = 95°
11. θ = -250°
12. θ = 230°

Answers

Answer:

10. 85°

11. 70°

12. 50°

Step-by-step explanation:

Please see attached picture for full solution.

Rhonda used unit cubes to make a rectangular prism. What is the volume of the prism? Prism with length as 7 unit cubes, height as 3 unit cubes and width as 2 unit cubes. A. 14 cubic units B. 21 cubic units C. 42 cubic units D. 63 cubic units

Answers

Answer:

42 cubic units

Step-by-step explanation:

A rectangle prism formula is V = l x h x w.

The length is 7

The height is 3

The width is 2

Then multiply 7, 3, and 2 together (7 x 3 x 2) = 42

The volume of the Rhonda rectangular prism will be 42 cubic units thus option (C) is correct.

What is volume?

Volume is the scalar quantity of any object that specified occupied space in 3D.

For example, the space in our room is referred to as volume.

Volume has units of cube example meter³,cm³, etc.

The volume of the rectangular prism is given as,

V = length × height × width

Put length as 7 unit cubes, height as 3 unit cubes, and width as 2 unit cubes.

V = 7 x 3 x 2 = 42 units³.

Hence "The Rhonda rectangular prism will have a volume of 42 cubic units".

To learn more about volume,

https://brainly.com/question/1578538

#SPJ5

gi34[gerrvnjr[v f mre]m2mv2nrvrenvdms cd[no3enif]32nqinv21]n]fgj3jrn

Answers

Answer: I am confused in so many ways...

mood during quarantine

You have $1000 to invest in two different accounts. In order to save the money you need for college, you need to average 6.6 percent interest. If the two accounts pay 5 percent and 7 percent interest, how much should you invest in each account?
a) $500 in 5%, $500 in 7%
b) $400 in 5%, $600 in 7%
c) $200 in 5%, $800 in 7%
d) $800 in 5%, $200 in 7%

Answers

Answer:

a) $500 + $525 = $ 1,025

b) $420 + $642 = $ 1,062

c) $210 + $856 =  $ 1,066

d) $840 + $214 =  $ 1,056

Step-by-step explanation:

Compound Interest Equation

A = P(1 + r/n)^nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

Compound Interest Formulas and Calculations:

Calculate Accrued Amount (Principal + Interest)

A = P(1 + r/n)^nt

Calculate Principal Amount, solve for P

P = A / (1 + r/n)^nt

Calculate rate of interest in decimal, solve for r

r = n[(A/P)^1/nt - 1]

Calculate rate of interest in percent

R = r * 100

Calculate time, solve for t

t = ln(A/P) / n[ln(1 + r/n)] = [ ln(A) - ln(P) ] / n[ln(1 + r/n)]

Answer:

It's C

Step-by-step explanation:

Identify the outlier of the data set.
3,4,4,5,5,6,6,7,7,7,8,20
a
20
b
8
oooo
C
6.8
d
3

Answers

Answer:

a.20

Step-by-step explanation:

20 is standing out from the rest of the numbers

I need help pleaseeee

Answers

Answer:

20cm

Step-by-step explanation:

pythagorean theorem

15^2 + b^2 = 25^2

225 + b^2 = 625

b^2 = 400

b = 20

Answer:

20 cm

Step-by-step explanation:

This is a right triangle so we can use the Pythagorean theorem

a^2 +b^2 = c^2

where a and b are the legs and c is the hypotenuse

15^2 +b^2 = 25^2

225+b^2 = 625

Subtract 225 from each side

225+b^2 -225 = 625-225

b^2 = 400

Take the square root of each side

sqrt(b^2) = sqrt(400)

b = 20

A jar contains 666 red jelly beans, 444 green jelly beans, and 444 blue jelly beans.
If we choose a jelly bean, then another jelly bean without putting the first one back in the jar, what is the probability that the first jelly bean will be blue and the second will be blue as well?


Answers

Answer:

Step-by-step explanation:

P(first blue) =  444/ 1554

P(second blue) = 443/1553

P(first blue + second blue) = 444/ 1554 * 443/1553 = 0.08

What is the equation of a line passing through 1,2 and -2,5

Answers

Answer:

y=-1x+3

Step-by-step explanation:

2-5/1+2

-3/3

-1

y=-1x+b

2=-1+b

b=3

y=-1x+3

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