Solve.Draw a rectangular fraction model to explain yourthinking.Then, write a number sentence.1/3of3/7=

Answer:

10 questions with an incorrect answer for both parts

15 questions with a correct answer in only one part

Explanation:

Let's call x the number of questions with an incorrect answer for both parts and y the number of questions with only one part of the question correct.

So, the equation that gives us the number of points after 25 rounds is:

100 - x - 0.5y = 82.5

Where: x + y = 25

So, solving for y, we get:

y = 25 - x

Replacing this on the initial equation and solving for x, we get:

Then, the value of y is:

Therefore, the player gets 10 questions with an incorrect answer for both parts and 15 questions with a correct answer in only one part.

Answer

The amount of flour left in the bag = 1.82 kg

Explanation

Concetta had 2 kg of flour.

She uses 180 g of the flour to make biscotti.

We are then asked to calculate how much flour is left in kilograms.

Amount of flour left = (Initial Amount of flour) - (Amount of flour used)

Initial amount of flour = 2 kg

Amount of flour used = 180 g = 0.18 kg

Amount of flour left = (Initial Amount of flour) - (Amount of flour used)

Amount of flour left = 2 - 0.18 = 1.82 kg

Hope this Helps!!!

Answer:

skill issue

Step-by-step explanation:

skill issue

There is no proof because X ≠ -15 when 3/5 x = 9

Multiplication is defined as one of the basic arithmetic operations that is used for the repeated addition of similar figures together.

From the given expression,

3/5x = 9

But X= -15

Substitute X = -15 into the given expression;

That is,

3/5 * -15 = 9

-45/5= 9

-9 = 9

Therefore, there is no proof that in the expression 3/5 x = 9, X ≠ -15 because the final answer is -9 and not ,9.

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We will use the pythagorean theorem to figure the answer out.

Applying the Pythagorean Theorem, we have (let unknown side be x):

Volume of the top of the prism: 460 cm^3

Volume of the bottom of the prism: 1 768 cm^3

Total volume of the figure: 2 228 cm^3

Explanation:

Volume of the top of the prism:

. Since it is a prism from trapezoid

. . Volume = Area of the trapezium base * heights between trapezium ends

Volume of the bottom prism:

. Since the price has a rectangular base:

Volume = Area of one base * height between reactangular bases

Area of one base :

Volume:

Total volume of the figure:

Volume of the top + Volume of the bottom = Total volume

NB:

To find any volume of a given prism, start with finding the area of one base, then multiply that area by the height (in other words the sides that link the two bases)

11.28π mm

1) Since the area is 100 mm² we can plug into the Circumference formula to find out the perimeter of that circle

2)

3) Hence, the circumference of that circle is 11.28π mm

Given:

g = {(-1,0), (-3,3), (-5, 6), (-7,9), (-9, 12)}

So,

To find g(-3), we need to find the term that contains -3 in the location of x of the order pair

So, g(-3) = 3

And by the same manner, we will find the others

So,

g(-9) = 12

g(-7) = 9

shoe box = 1 cubic foot = 1 * 1 * 1

1 Layer: 6 shoe boxes -> Layer lenght = 6 feet, layer depht = 1 foot

Box height = 4 feet

Box volume = 6*4*1 = 24 feet

A relation is a function if it has only One y-value for each x-value. Functions f(2/3)=2/9 for f(x)=2x²-4x+2 and f(1/4)==-21/4 for  f(x)=4x²+2x-6

A relation is a function if it has only One y-value for each x-value.

The given function is

f(x)=2x²-4x+2

Put x=2/3

f(2/3)=2(2/3)²-4(2/3)+2

=2(4/9)-8/3+2

=8/9-8/3+2

=(8-24+18)/9

f(2/3)=2/9

Now f(x)=4x²+2x-6

Put x=1/4

f(1/4)=4(1/4)²+2(1/4)-6

=4/16+2/4-6

=1/4+1/2-6

= 1+2-24/4

f(1/4)==-21/4

Hence functions f(2/3)=2/9 for f(x)=2x²-4x+2 and f(1/4)==-21/4 for  f(x)=4x²+2x-6

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The z - score of the normal deviation will be 0.8.

What is Standard deviation?

Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given that;

A normal distribution has the mean = 62

Standard deviation = 20

Since, The formula for the z - score will be;

z = (x - μ) / σ

Where, σ is the standard deviation and  μ is the mean of normal distribution.

Substitute all the values in above equation, we get;

z = (x - μ) / σ

z = (46 - 62) / 20

z = - 16 / 20

z = - 0.8

Therefore,

The z - score of the normal deviation will be 0.8.

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Answer:

C. 9⁷

Explanation:

We will use the following property of the exponents:

It means that when we have the same base, we can simplify the expression by adding the exponents. So, in this case, the equivalent expression is:

Therefore, the answer is C. 9⁷

Notice that:

therefore the mistake is the last step.

Now, all the work of the student is correct up to:

We can consider

x = length of the painting

20 ft wall long

we want at least 3 ft per side so the total available length is 20-6= 14

x must be shorter than 14

inequality

x< 20-2(3)

x<14

He took 3 1/4 hours to clean the bathroom and then he took 1/8 hours to clean the kitchen.

First, we can convert the mixed number 3 1/4 into a fraction:

3 1/4 = 3/1 + 1/4 = 13/4

Now, we can sum both times:

13/4 + 1/8 = ((13*8)+(4*1)) / (4*8) = (104 +4)/ 32 = 108/32 = 27/8

Finally, we need to convert the total of hours 27/8 as a mixed number:

If 27/8 = 3.375

We take the whole number and then convert the decimal remaining into a fraction:

3 - whole number

0.375* (1000/1000) = 3/8

Hence, the mixed number for the total time that Ali spent cleaning both rooms is 3 3/8

it is a parabolla because only variable is quadratic and the other is linear.

The circles in option B and D has their centers in the second quadrant

Here, we want to know which of the circles have their centers in the second quadrant

Generally, the equation of a circle can be represented as;

where (h,k) represents the center of the circle

Now, let us get the center of each of the circles;

A. (4,-3)

b. (-1,7)

C.(5,6)

D. (-2,5)

The second quadrant has its coordinates in the form (-x,y)

Out of all the options, the option that fits these quadrant is the second and fourth

So the circles in option B and D has its center in the second

We can use the tangent of 50º. The height is approximately 95.34 ft

1) We can trace a right triangle over that mark and calculate that height, using a trigonometric ratio.

2) As we have the adjacent leg to that 50º angle and the opposite leg, we can use the tangent of 50º to find that height out.

3) Hence the answer is

We can use the tangent of 50º. The height is approximately 95.34 ft

Given the equation of the line:

The given equation as the slope-intercept form: y = m * x + b

where m is the slope and b is the y-intercept

the y-intercept is the value of y when x = 0

By comparing the given equation with the slope-intercept form

So,

The slope = m = -2

The y-intercept = b = -1

the point of y-intercept = ( 0, -1 )

-1 ≤x-3>7

So:

-1≤x-3

x-3>7

Solve each

-1≤x-3

Add 3 to both sides:

-1+3≤x-3+3

2≤x

x-3>7

add 3 to both sides:

x-3+3>7+3

x>10

Solution:

2≤x or >10

Looking at the diagram, The last statement means that trangle PQS is congruent to triangle RSQ. This means that

line PQ is equal to line RS

line QS is equal to line SQ

angle Q is equal to angle S

Thus, the reason would be

Side Angle Side(SAS)

Two sides and one angle are equal or congruent

Given

Table of names

Procedure

Names end with an E

Gabe

Steve

The probability would be independent and equal to:

The probability would be 1/9

Choose the right symbol for the following

What are Symbols?

Many operations in mathematics are carried out using mathematical symbols. Mathematical quantities are easy to refer to thanks to the symbols. It's interesting to consider how entirely dependent mathematics is on numbers and symbols. In addition to referring to various amounts, math symbols also show how two quantities relate to one another. The primary purpose of all mathematical symbols is to carry out mathematical operations under distinct conceptions.

1) 0.02 > 0.002

2) 0.05 < 0.5

3) 0.74 < 0.84

4) 0.74 > 0.084

5) 1.2 < 1.25

6) 5.130 = 5.13

7) 3.201 > 3.099

8) 0.159 < 1.590

9) 8.269 > 8.268

10) 4.60 > 4.060

11) 302.026 > 300.226

12) 0.237 > 0.223

13) 3.033 < 3.303

14) 9.074 < 9.47

15) 6.129 < 6.19

16) 567.45 > 564.75

17) 78.967 > 78.957

18) 5.346 < 5.4

19) 12.112 < 12.121

20) 26.2 = 26.200

21) 100.32 > 100.232

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Answer:

Explanation:

First, we identify the main components:

• Principal = $15,000

• Rate = 8% =0.08

• Time = 6 years

Answer:

y-5=⅛(x-2)

Explanation:

Given the points (2,5) and (-6,4).

To find the equation of the line joining these points in point-slope form, we begin by finding its slope.

Next, we substitute the slope and any of the given points into the point-slope form below:

We use the point (2,5).

• x1=2, y1=5

The equation in point-slope form is y-5=⅛(x-2).

Given the inequality:

If we add 2 on both sides, the inequality remains the same and we get:

B: The data collection method used was nonrandom since the athletes using Fastex shoes may have trained better.

This is false because they followed the same nutrition plan and training program during the study.

C. The data collection method used was unfair since the athletes given Fastex shoes may have been better runners than the athletes given SportsPlus shoes.

This is also false because members of both groups were pretested and determined to have equal athletic ability

D. Each group used one shoe design.

So, the correct option is A

The function given in the graph stretches from negative to positive infinity.

Hence the domain of the function is given by:

Answer:

Explanation:

First, we draw the graph, label the x and y-axis. Then we plot the points given.

To plot the point (-2, 3), we first move to units to the left from the origin and the 3 units up as sketched below

Similarly for (1, -5), we have

We moved one unit to the right and 5 units down.

To find the slope, we take the vertical distance and the horizontal distance and then the slope will be

slope vertical distance / horizontal distance

Therefore the slope is