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Erica is playing Target One Fractions. She has these cards: 1,2,3,4,6.
a. Which three cards should she choose to make a whole number and a fraction that have a product close to 1?

b. Write an expression for the problem Erica will solve.

c. Solve the problem.

d. What is Erica's score for this round?

Answers

Answer 1

Answer:

  a.  2, 3, 6

  b.  a/b × c = 1

  c.  a = 2, b = 6, c = 3  or  a = 3, b = 6, c = 2

Step-by-step explanation:

Apparently, Erica wants to multiply a fraction by a whole number to get a result of 1. That means the fraction is the multiplicative inverse of the whole number.

__

a.

There is only one set of three unique numbers among those given such that one of them is a composite number with the other two as factors. Erica must choose 2, 3, and 6.

__

b.

If the three numbers are represented by a, b, c, Erica wants ...

  a/b × c = 1

__

c.

Multiplying the equation by b gives ...

  ac = b

Among the numbers 1–6, only 2×3 = 6 will satisfy this equation. Erica can choose either of ...

  a = 2, b = 6, c = 3   ⇒   (2/6)×3 = 1

  a = 3, b = 6, c = 2   ⇒   (3/6)×2 = 1

__

d.

No scoring information is provided.


Related Questions

Baseballs are sold 8 to a box. The
league is planning on having 18
games. If they need 3 balls for
each game, how many boxes will
they have to buy?

Answers

You need to multiply 18*3 to get the number of balls needed. Then you have to divide the answer with 8 to get the amount of boxes needed.
18x3= 24
24x8= this will give you your answer

You wish to test the following claim (
H
a
) at a significance level of
α
=
0.002
.


H
o
:
μ
=
57.7


H
a
:
μ

57.7


You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size
n
=
286
with mean
M
=
59.6
and a standard deviation of
S
D
=
7.7
.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =


What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =

Answers

Using the t-distribution, it is found that the desired measures are given as follows:

The test statistic is t = 4.17.The p-value is of 0.0004.

What are the hypotheses tested?

At the null hypotheses, it is tested if the mean is of 57.7, that is:

[tex]H_0: \mu = 57.7[/tex]

At the alternative hypotheses, it is tested if the mean is different of 57.7, that is:

[tex]H_a: \mu \neq 57.7[/tex]

What is the test statistic?

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.

The values of the parameters are given as follows:

[tex]\overline{x} = 59.6, \mu = 57.7, s = 7.7, n = 286[/tex]

Hence, the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{59.6 - 57.7}{\frac{7.7}{\sqrt{286}}}[/tex]

t = 4.17.

What is the p-value?

We have a two-tailed test, as we are testing if the mean is different of a value, with 286 - 1 = 285 df and t = 4.17. Hence, using a t-distribution calculator, the p-value is of 0.0004.

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Help pretty please?.?.?? Prize is 20 points :)

Answers

Answer:

7

Step-by-step explanation:

Because 2x-4 equals -8

Find the distance between the two points. Round to the nearest tenth if necessary.
(1,5), (5,2)
A. 2.6
B. 1
C. 5

Answers

Answer:

d =5

Step-by-step explanation:

d = [tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]

at (1,5), (5,2)

d= [tex]\sqrt{(5-1)^2 +(2-5)^2}[/tex]

[tex]d = \sqrt{16 + 9} \\d=\sqrt{25}\\ d =5[/tex]

Therefore 5 is the distance.

Answer:

C

Step-by-step explanation:

calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (1, 5 ) and (x₂, y₂ ) = (5, 2 )

d = [tex]\sqrt{(5-1)^2+(2-5)^2}[/tex]

   = [tex]\sqrt{4^2+(-3)^2}[/tex]

    = [tex]\sqrt{16+9}[/tex]

    = [tex]\sqrt{25}[/tex]

    = 5

The system has ___________ solution(s). y = 2x + 6 4y = 8x + 24

Answers

Answer:

Step-by-step explanation:

4(2x + 6) = 8x + 24

8x + 24 = 8x + 24

infinite many solutions

cot Ф = 2

please please please help

Answers

Answer:

Radians:Ф=0.46364... +π n

Degrees:Ф= 26.56505 + 180° n.

Step-by-step explanation:

Apply trig inverse properties

Ф= arccot(2) +π n

Ф=0.46364... +π n

Radians:Ф=0.46364... +π n

Degrees:Ф= 26.56505 + 180° n.

Multiple Choice Question 5 of 14 Is the quadrilateral a parallelogram, rectangle, rhombus, or square? Select all that apply.

A) square 5
B) rhombus
C) parallelogram
D) not enough info or none of these
E) rectangle​

Answers

Answer: B, C

Step-by-step explanation:

All four sides are congruent, so it is both a rhombus and a parallelogram.

It is not a rectangle because we do not know if two of the sides are perpendicular. From this, we also cannot tell if it is a square.

Please help me with my question!​

Answers

Positive and Negative Numbers on the Number Line

When we add two negative numbers, the result will be negative.

When we add a negative and a positive number, the result can be positive, negative, or equal to zero.

Take the absolute values of both numbers (disregard their signs). If the number that was positive is greater, then the result will be positive.If the number that was negative is greater, then the result will be negative.If the two numbers are equal, then the result will be 0.

When we add two positive numbers, the result will be positive.

Solving the Questionj + k

These are both negative numbers. We know this because they are both to the left of 0. When we add two negative numbers, we will get a result that is less than 0.

Less than 0

k + n

k is a negative number while n is a positive number.

Notice that on the number line, k and n appear to be at a equal distance away from 0. This means that if we were to take their absolute values, they would be equal.

This means that adding k and n would result in an answer of 0.

Equal to 0

m + n

m is a negative number while n is a positive number.

Notice that on the number line, n appears to be further away from 0 than m is. m is very close to 0.

This means that the absolute value of n would be greater than that of m. The result would therefore be positive

Greater than 0

k + m

Both these numbers are negative. Adding them would produce a negative result.

Less than 0

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Answers

Answer:

31 degrees

Step-by-step explanation:

90-59

=31

~rere

Answer:

<b = 31 °

Step-by-step explanation:

When the sum of two angles is equal to 90 degrees, they are called complementary angles

So . .

Because the sum is 90 subtract!

90 - 59 = 31

<b = 31 °

x^2 +8 x+ y^2-12 y =14 what is the center and radius

Answers

Answer:

Step-by-step explanation:

- 16 + ( - 12 ) - ( - 40 )

Answers

Answer:

12

Step-by-step explanation:

Its 12 because when you do -16 + - 40.... then -12 you get =12 There you go

Step-by-step explanation:

Solution ,

Firstly we need to understand that

( - ) × ( - ) = ( + )

( + ) × ( + ) = ( - )

( - ) × ( + ) = ( - )

( + ) × ( - ) = ( - )

Question:

- 16 + ( - 12 ) - ( - 40 )

here ( + ) × ( - ) = ( - )

= - 16 - 12 - ( - 40 )

here ( - ) × ( - ) = ( + )

= - 28 + 40

here the ( + ) has greater variable so....

= + 12

hence 12 is the answer....

* Given the following expressions:

I.
[tex] - \frac{5 }{8} + \frac{3}{5} [/tex]
||.
[tex] \frac{1}{2} + \sqrt{2} [/tex]
|||.
[tex]( \sqrt{5} ) \times ( \sqrt{5} )[/tex]
IV.
[tex]3 \times ( \sqrt{49} )[/tex]

Answers

Answer:

sorrry i forget you man ..... or bro .....

The table shown below gives the estimated number of text messages sent in the U.S. by year.
Approximately how many times as many text messages were sent in the U.S. in 2011 as in 2005?
Year Text messages sent in the U.S.
2005 118,000,000,000
2007 577,000,000,000
2009 1,198,000,000,000
2011 2,357,000,000,000
Choose 1 answer:
A.) 2*10^1

B.) 4*10^1

C.) 2*10^3

D.) 4*10^3

Answers

Answer:

A)

Step-by-step explanation:

2005: 118000000000

2011: 2357000000000

Option A) = 20

118000000000 * 20 = 2360000000000

2360000000000 is approximately close to 2357000000000

Complete the long division problem on your own sheet of paper. Then, fill in the digits.

Answers

here’s the answer! 8 divided by 416 is 52

Answer:

52

Step-by-step explanation:

5 goes in the top left under the 4 & 1 is 40 bring the 1 down drop the 6 next to the 1 write 16 under the 16 and you get 2 and at the very bottom write 0

(Score for Question 2: ___ of 10 points)
2. A room is shaped like a trapezoid as shown.


(a) What is the area of the room? Use the formula . Show your work.
(b) Carpet costs $8.30 per square foot. How much will it cost to carpet the room? Show your work.
(c) Furniture covers 25% of the floor. How many square feet of carpet are covered by furniture? Show your work.

(PLEASE SHOW THE WORK ON HOW TO DO IT FOR EACH ONE)
Answer:

Answers

The area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.

What is the area of trapezoid?

The area of the trapezoid is the space occupied by it on the two dimensional plane. The area of this figure is half of the product of height and sum of sides.

[tex]A=\dfrac{(a+b)h}{2}[/tex]

Here, (a and b) are the base sides of the trapezoid and (h) is the height.

A room is shaped like a trapezoid which has the height of 28 feet and the length of sides as 23 ft and 35 ft. Thus, the area of it is,

[tex]A=\dfrac{(a+b)h}{2}\\A=\dfrac{(23+35)28}{2}\\A=812\rm\; ft^2[/tex]

Carpet costs $8.30 per square foot. Thus, the cost of carpet with area 812 ft² is,

C=812×$8.30

C=$6739.6

Furniture covers 25% of the floor. Thus, the remaining square feet of carpet are covered by furniture is,

[tex]A=\dfrac{25}{100}\times812\\A=203\rm\; ft^2[/tex]

Thus, the area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.

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Find the area of the right triangle.

Answers

Answer:

Step-by-step explanation:

Comment

The area of a right triangle is the product of the two smaller legs divided by  2.

Givens

Horizontal Leg =   4 units.

Vertical Leg      =   8 units

Note. you count units by calling the right angle 0,0. As you move to the next square, count 1 then 2 then 3 ...

Solution

Area = 4 * 8 / 2

Area = 32 / 2

Area = 16

Answer

Area  = 16

   

Simplify 22-2(12/4+2*3)/3+7

Answers

Answer: 23

Step-by-step explanation:

A mathematical symbol, or combination of symbols, representing a value, or relation. Example:  2+2=4 .

1.4
Arrange the number of voters in 2016 - election
per province in ascending order.
5
Calculate the percentage of votes in the 2016-election that went
to "Other" in the National Results, if the total number of voters was
26 660 276.

Answers

Answer:

that would be 57

Step-by-step explanation:

because im smart

: Find the midpoint of the segment with the following endpoints.
(5,-5) and (2,8)

Answers

Answer:

(3.5; 1.5).

Step-by-step explanation:

1) formula for midpoint:

[tex]x=\frac{X_A-X_B}{2}; \ y=\frac{Y_A-Y_B}{2};[/tex]

2) according to the formula above the required midpoint is:

x=0.5(5+2)=3.5; y=0.5(8-5)=1.5

Find the measures of all of the angles.

Answers

Answer:

a:

1. ABC = 60°

2. BCA = 90°

3. CAB = 30°

b:

XVR = WVS = 125°

RVS = 55°

RST = VSU = 110°

RSV = UST= 70°

TUS = 39°

Step-by-step explanation:

a:

According this is a Right Triangle ( BCA = 90°) and the sum angles of a triangle is 180° :

90+5x+9x+6=180

14x=84

x=6

Then we have : ABC = 9(6)+6 =60

CBA = 5(6)=30

b :

Given that the size of the opposite angles to a vertex are equal and the sum of the interior angles of a triangle is 180 degrees, the size of all angles can be easily found.

Stephan has a piece of wood that measures 18 inches long and 12 inches wide. He wants to make a tray with sides 2 inches high. Maurice says that he can make a tray that has a base measuring 1012 inches by 1012 inches. Is he correct? Use the drop-down menus to explain your answer.

Stephan
Choose...
have enough wood to make the tray because he has
Choose...
square inches, which is
Choose...
than he needs to make the tray,
Choose...
square inches.

Answers

Answer:

i. No, Maurice statement is wrong

ii. Stephan does not have sufficient pieces of wood to make the tray because the square inches required is more than what he has.

Step-by-step explanation:

Stephan's piece of wood measures; 18 inches in length and 12 inches in width. Since the piece of wood has a shape of a rectangle,the area of the piece of wood = length × width                                                 = 18 × 12                                                = 216 square inchesAccording to Maurice's statement, he could make a tray that has a base of 1012 inches by 1012 inches. The base has the shape of a square, so that;     the area of the base = length × width =                                        = 1012 ×1012                                      = 1024144 squared inchesThis shows that Stephan does not have sufficient wood to make the tray because the square inches required is more than what he has.

Infusions (or intravenous drips) are used to deliver fluids and drugs to patients.

Nurses need to calculate the drip rate, D, in drops per minute for infusions.

They use the formula D =dv/60n where

d is the drop factor measured in drops per milliliter (mL)
v is the volume in mL of the infusion
n is the number of hours the infusion is required to run.

A nurse wants to double the time an infusion runs for.

Describe precisely how D changes if n is doubled but d and v do not change.

Answers

Answer:

D is halved

Step-by-step explanation:

Given :

D = -dv/60n

If n is doubled :

D' = -dv/60(2n)D' = -dv/120nD' = D/2

When n is doubled, D (the drop factor) is half of its original value.

Write the equation of the conic section shown below.

Answers

Answer:

f(x) = -5/81( x^2 -2x - 80)  

Step-by-step explanation:

The zeroes are -8 and 10 so we can write :

f(x) = -a(x - 10)(x + 8)  

( negative is because the parabola opens downwards).

The maximum value is at the vertex = 5.

f(x) = -a(x^2 - 2x - 80)

       =  a[(x - 1)^2 - 1 - 80)

        = a(x - 1)^2 - 81a

As the vertex is at f(x) = 5

81a = 5 so a = 5/81

So the equation is

f(x) = -5/81( x^2 -2x - 80)    

   

A bag contains 5 red marbles, 10 white marbles, and 9 blue marbles. You draw 3 marbles out at random, without replacement. What is the probability that all the marbles are red?

Answers

Answer:

5/24

Step-by-step explanation:

Number of red marbles = 5

Number of white marbles = 10

Number of blue marbles = 9

Total number of marbles = 24

P(getting red marbles) = (Number of red marbles)/(Total number of marbles)

P(getting red marbles) = 5/24

which equation represents a line that passed through (2,-1:2) and has a sloe of 3

Answers

The equation that represents a line that passed through (2,-1:2) and has a slope of 3 is y = 3x - 18

How to determine the equation of the line?

The points are given as:

(x1, y1) = (2, -12)

The slope is given as:

m = 3

The equation of the line is calculated using:

y = m(x - x1) + y1

So, we have:

y = 3(x - 2) - 12

Open the bracket

y = 3x - 6 - 12

Evaluate

y = 3x - 18

Hence, the equation of the line is y = 3x - 18

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Find the roots of the quadratic equation x^2 + 7x + 10 = 0 by using the quadratic formula​

Answers

Answer:

x = -2, -5

Step-by-step explanation:

x^2 + 7x + 10 = 0

The factors of 10 are as follows:

1, 10

2, 5

We can combine 2 and 5 to make 7

(x +2) (x + 5) = 0

One of these brackets must equal 0 to make the answer 0, as you are multiplying them together

If x + 2 = 0, x = -2

If x + 5 = 0, x = -5

Therefore, x = -2, -5

Hey there!

Answer :x = -5 or x = -2 ✅

Explanation :

QUADRATIC EQUATION:

ax² + bx + c = 0 where a ≠ 0

The sign of the discrimant (b² - 4ac) determines the number of real-number solutions :

If the discrimant is positive, the equation has two real-number solutions.If the discrimant is equal to zero, the equation has one real-number solution.If the discriminant is negative, the equation has no real-number solution.

The solutions of the equation, also called roots, can be obtained with the QUADRATIC FORMULA :

[tex]x = \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

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

▪️ x² + 7x + 10 = 0

(1) Substitute the letters in the general quadratic equation with their values in the given expression:

a = 1b = 7 c = 10

(2) Determine the sign of the discriminant:

[tex]{b}^{2} - 4ac \\ \\ \Longrightarrow {7}^{2} - 4(1)(10) \\ \\ \Longrightarrow 49 - 40 \: \: \: \: \: \: \: \: \: \\ \\ \Longrightarrow \red{9} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

The discrimant is positive ; the equation has two real-number solutions.

(3) Determine the roots of the equation :

a)

[tex]x_1 = \frac{ - b \: - \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ x_1 = \frac{ - 7 - \sqrt{9} }{2(1)} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ x_1 = \frac{ - 7 - 3}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ x_1 = - \frac{10}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \green{ \boxed{ \red{x_1 = - 5}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

(b)

[tex]x_2 = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ x_2 = \frac{ - 7 + \sqrt{9} }{2(1)} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ x_2 = \frac{ - 7 + 3}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ x_1 = - \frac{4}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \red{ \boxed{ \green{x_2 = - 2}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

Therefore, x = -5 or x = -2

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Help with functions!! Thank you!!

Answers

Answer:

(s - t)(x) = 4x^2 - x - 5

(s + t)(x) = 4x^2 + x + 5

(s * t)(-1) = 16

Step-by-step explanation:

(s - t)(x) is simply the same as s(x) - t(x)

(s + t)(x) is simply the same as s(x) + t(x)

(s * t)(x) is simply the same as s(x) * t(x)

(s - t)(x) = s(x) - t(x) = 4x^2 - (x+5) = 4x^2 - x - 5

(s + t)(x) = s(x) + t(x) = 4x^2 + (x+5) = 4x^2 + x + 5

(s * t)(-1) = s(-1) * t(-1) = 4(-1)^2 * (-1+5) = 4 * 4 = 16

what is the volume of a cylinder, in cubic feet, with a height of 8 feet and a base diameter of 18 Round to the nearest place​

Answers

it would be 3.14(pie) x 9^2 (radius) x 8 (height) and that would = 2034.72 and rounded 2034.7

Urgent help,

Translate the following words into equations step 2 solve the equation.

8 more than a number is equal to 15

The product of 7 and a number is 35

Answers

Answer:

x+8=15

-8. -8

x=7

7x=35

7. 7

x=5

2/5 of every person that attended the Oakland Athletics ball game received an A's ball cap.
If 23,400 people attended the game, how many received an A's ball cap?

Answers

Answer:

9360

Step-by-step explanation:

2/5 is 40%

40% of 23400 is 9360

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