This question has two parts. Be sure to answer
both parts of the question.
This diagram shows four small squares
and one rectangle composed of 10 small
squares.

PART A
Andre says that this diagram can represent
140.
Do you agree with Andre? Explain why or
why not.
Enter your response here

PART B
Diego says that this diagram can represent
410.
Do you agree with Diego? Explain why or
why not.
Enter your response here

When the thickness of a textbook is b mm the expressions for:

thickness of 5 stacked textbooks = 5b mm

thickness of each page, if the pages are numbered to 225 = b / 225

The thickness for each of the condition is written as follows

For the thickness of 5 stacked textbooks

= b + b + b + b + b

= 5b

For thickness of each page, if the pages are numbered to 225

In this case division is used to ascertain the thickness of each page in the book. this is done by dividing the total thickness by the number of pages in the book

= b / 225

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Answer:

>4

Step-by-step explanation:

the answer of the question is >4

The number of seats of each bus is given as follows:

The number of seats of each bus is obtained applying the proportions in the context of the problem.

One bus has 3 rows of seats with 9 seats in each row, hence the number of seats of the first bus is given as follows:

3 x 9 = 27.

The other bus has four times as many seat as the first bus, hence the number of seats of the second bus is given as follows:

4 x 27 = 108.

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Answer:

0.65 and 13/20

Step-by-step explanation:

Answer:

None of the above

Step-by-step explanation:

Beacuse,

3*65 +9*55 = 690miles

4*65 + 8*55 = 700 miles

6*65 + 6*55 = 720 miles

8*65 + 4*55 = 740 miles

The total length is 750miles which is not suitable in this above four answers

Answer: top right

Step-by-step explanation:

It says decrease by 7 which mean subtract (-) and times 3 mean multiply by 3 (x3)

The required loan out of 14000 which is on 7% interest is given as $3800.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,

Let part of the loaned amount at 7 % interest be x and another part with 17% interest be y,
A bank loaned out ​$14000​, part of it at the rate of 7% per year and the rest at 17% per year, and the interest received in one year totaled ​$​2000,

According to the question,
x + y = 14000
x = 14000 - y - - - - - (1)

and,
0.07x + 0.17y = 2000 - - - - (2)

Put x from equation 1 in equation 2
Gives,
y = 10200

Now,
x = 14000 - 10200
x = 3800

Thus, the required loan out of 14000 which is on 7% interest is given as $3800.

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Answer:

This is a sequence of numbers that can be expressed as a linear function. The linear function would be of the form y = mx + b, where m is the slope of the line and b is the y-intercept. In this case, m = 3 and b = 7, so the linear equation for this sequence is y = 3x + 7.

Pls mark as brainliest :) ty

Answer:

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

The speed limit is 65 mph, the speed of the car is at least 74 mph.

The difference m is the over the speed limit value.

Set an inequality:

Answer: 3 x y (2 x + 5 y)

Step-by-step explanation:

im not really sure but i gave it a try

The value of expression is ,

10) 6

11) 18

12) 2

13) 4

14) [tex]\frac{1}{4}[/tex]

15) [tex]\frac{1}{3}[/tex]

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. Unknown variables, integers, and arithmetic operators are the components of an algebraic expression. There are no symbols for equality or inequality in it.

Here the given expression

10) 7+x+(-3)

Put x=2 then

=> 7+2-3

=> 7-1 = 6

11) 4[tex]x^2[/tex]+2

put x=2 then

=> [tex]4*2^2+2[/tex]

=> 4*4+2

=> 16+2=18

12) Ix+10I

put x=-12 then

=> I-12+10I

=> I-2I = 2

13) |2x + 1|

put x= 3/2 then

=> I2*[tex]\frac{3}{2}[/tex]+1I

=> I3+1I

=> I4I = 4

14)(x - 3)/4

put x=4 then

=> [tex]\frac{4-3}{4}[/tex]

=> [tex]\frac{1}{4}[/tex]

15) (5 - x)/6

put x=3 then

=> [tex]\frac{5-3}{6}[/tex]

=> [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]

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The model -3/4+5/12 on the number line is attached in the image below

Generally, A image of a graded straight line is what is known as a number line, and its purpose in elementary mathematics is to serve as a visual representation of real numbers. A number line is the name for this kind of diagram.

It is a widely held belief that a real number may be allocated to each point on a number line, as well as the inverse, which states that a real number can be assigned to each point on a number line.

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Answer:I think being honest with them just tell them how you really feel not because just they ask and you just say I am fine how are you just tell how you really feel about that day. Be honest ...

Step-by-step explanation:

How I've been today? Quite magnificent. Thank thou for your generosity.

The ratio of Bob's to Ron's to Don's partnership interest is 26.6% : 33.3% : 40.0%.

A partnership interest is the percentage of a partnership that a specific member or individual owns. In this context, partnerships refer to a specific method of organizing business ownership in which each owner is a partner, with equal rights, privileges, and obligations to the company as a whole.

Data

Partnership interests in Maloney Bros:

Don - $78,000

Bob -  $52,000

Ron Maloney’s - $65,000

The total capital contribution is:

= $78,000 + $52,000 + $65,000

= $195,000

Bob's partnership interest is:

= $52,000/$195,000

= 0.266 or 26.6%.

Ron's partnership interest is:

= $65,000/$195,000

= 0.333 or 33.3%.

Don's partnership interest is:

= $78,000/$195,000

= 0.400 or 40.0%.

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If there are 135 people in a sport centre. The number of people  that use exactly one of these facilities is 49.

Number of people that uses gym= 73- ( 32-14+ 36-14 + 14)

Number of people that uses gym = 73 - 54

Number of people that uses gym = 19

Number of people that use pool only = 73-(36-14+35-14+14)

Number of people that use pool only= 73-57

Number of people that use pool only = 16

Number of people that use track only = 67-(32-14+35-14+14)

Number of people that use track only = 67-53

Number of people that use track only = 14

Number of people  that use exactly one of these facilities =19+16+14

Number of people  that use exactly one of these facilities = 49

Therefore we can conclude that the number of people  that use exactly one of these facilities is 49.

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The algebraic fraction which is equivalent to the given expression in which case, the denominator is 24a³b² as required is; 15b³ / 24a³b².

As evident in the task content; the given algebraic expression whose equivalent is to be determined is; 5b / 8a³.

However, to determine an equivalent expression whose denominator is; 24a³b²; one must determine the quotient of 24a³b² and 8a³.

= 24a³b² / 8a³.

= 3b²

On this note, it follows that the numerator and denominator of the given algebraic fraction can each be multiplied by 3b² in order to determine the equivalent expression.

= ( 5b • 3b² ) / ( 8a³ • 3b² )

= 15b³ / 24a³b².

Ultimately, thee required equivalent algebraic fraction is; 15b³ / 24a³b².

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Using the mathematical operations of addition and subtraction, the weight of the bag of grapefruit is 3¹¹/₁₆.

The basic mathematical operations we have studied so far include addition, subtraction, division, and multiplication.

In addition operation, two or more addends are added to obtain a result known as the sum or total.

Using subtraction operation, the minuend, subtrahend, and difference are the major parts, including the subtraction operator (-).

There are two ways of solving this problem, we can add the fractional weights of apples and bananas and subtract the sum from the total weight of fruits Lynne bought.

We can also subtract each fractional weight from the total weight of fruits to arrive at the fractional weight of the bag of grapefruit.

The total weight of Lynne's purchases = 7¹/₂ pounds

The weight of apples = 1⁵/₈ pounds

The weight of bananas = 2³/₁₆ pounds

The weight of grapefruit = x

= 7¹/₂ - 1⁵/₈ - 2³/₁₆

= 3¹¹/₁₆

Add fractional weights:

1⁵/₈ + 2³/₁₆ = 3¹³/₁₆

Subtract the sum of the fractional weights from the total weight:

7¹/₂ - 3¹³/₁₆ = 3¹¹/₁₆

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Answer: y = 18

Sentence: The value of y that makes T Parallel to U is 18.

Step-by-step explanation:

We are given 3 expressions:

We know that since the angle (7x) is on the same line as the angle (3x + 36), we can therefore determine that they correspond to each other. I referred an image to help demonstrate this concept. So since they correspond to each other, that means they have the same value (meaning they are equal to each other).

We can set both expressions equal to each other.

7x = 3x + 36

And solve:

7x = 3x + 36

-3x   -3x

4x = 36

/4     /4

x = 9

now we know the value of x, we can plug it into one of the equations. We  can plug it in to 3x + 36 to help with the process in solving y.

3(9) + 36 = 63 degrees

Since 6y + 9 and 3x + 36 (63 degrees) are supplementary angles, we can subtract 180 from 63.

180 - 63 = 117

now we know that 117 degrees = 6y + 9 BUT!, we need to solve for y, because that's what the question is asking for.

So lets solve for y:

117 = 6y + 9

-9            -9

108 = 6y

/6       /6

y = 18

a. The explanatory variable is the new blood clot medication, and the confounding variable is the time period of 12 hours after the stroke begins.

b. The explanatory variable is the new software program, and the confounding variable is the 1-hour period after school

The confounding variable may invalidate the conclusions of the study because it is possible that the higher rate of total recovery is not due to the new medication, but rather due to the fact that the patients are being treated within the crucial 12-hour period after the stroke begins. To eliminate the effect of the confounding variable, the study could be conducted as a randomized controlled trial, where patients are randomly assigned to receive either the new medication or a placebo, and both groups are treated within the 12-hour period after the stroke begins.

In (b) the explanatory variable is the new software program, and the confounding variable is the 1-hour period after school. The confounding variable may invalidate the conclusions of the study because it is possible that the higher scores are not due to the software, but rather due to the fact that the students using the software were given more time to study and practice. To eliminate the effect of the confounding variable, the study could be conducted as a randomized controlled trial, where students are randomly assigned to use the software or not, and both groups are given the same amount of time to study and practice.

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Answer:

16

Step-by-step explanation:

Basically one-half of 32

one-half = 1/2

Hence, 1/2 x 32 = 16

The rest of the information is not needed, it is a trick.

The two ratios are equivalent because if we multiply both of the numbers by 3, we will get the other ratio.

Here we want to explain why the two ratios:

5:6 and 15:18

Are equivalent, where equivalent means that these two ratios mean the same thing.

Now, if we take any ratio

a:b

and we multiply both numbers by the same real number k (except for zero) we will get the equivalent ratio.

k*a: k*b

Now, let's look to our ratios:

5:6

If we multiply these 2 numbers by 3, we will get.

3*5: 3:6

15: 18

So yes, these are equivalent.

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The measure of the apothem is 1.75cm.

What is a regular octagon?

Eight equal sides and eight equal angles make up a normal octagon. Each side is the same length, and each angle is the same size. The total interior and external angles are 1080° and 360°, respectively. The inner angle at each vertex of a regular octagon is 135°.

Here, we have

Given: The area of the regular octagon is 10.15 cm².

We have to find the measure of the apothem.

The octagon can be divided into 8 congruent (identical) isosceles triangles. One of them is AOB.

Area (triangle AOB) = 10.15/8 = 1.27cm².

Area(triangle AOB) is also 1/2*MO*AB

 1.27 =  1/2*MO*1.45

MO = 1.75cm

Hence, the measure of the apothem is 1.75cm.

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The people that have posted the meme after 8 days using the exponential equation y=t^3 will be 512.

What are Exponential Equations?

An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3^x = 81, 5^x - 3 = 625, 62^y - 7 = 121, etc are some examples of exponential equations. We may come across the use of exponential equations when we are solving the problems of algebra, compound interest, exponential growth, exponential decay, etc.

Now,

To find number of people who have re-posted

we need to make a exponential equation

Here, As cindy tags meme to 3 people in starting and they also tag 3 people in subsequent days, then equation will be y=t^3 where t=no of days.

No of people after 8 days,

y=8^3

y=512 (no of people after 8 days)

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This is an example of geometric growth, So after 8 days 6561 people will have re-posted the meme.

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In the expression 2 − 5x − 4 + 8, the coefficient of x is -5. Thus, option a is correct.

A number or quantity combined with a variable is referred to as a coefficient. The variable is usually multiplied by an integer, which is then written next to it. It is assumed that the variables with no associated value have a coefficient of 1. For instance, in the expression 3x, the coefficient of x is 3, whereas in the expression x2 + 3, the coefficient of x2 is 1.

A variable's coefficient is the number or letter that the variable contains. As an illustration, the coefficient of variable x in the formula 2x + 3y is 2, and the coefficient of variable y is 3 in the same formula.

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The value of the rational expression is q⁴ / 14p⁴

A rational expression is the ratio of two polynomials. If f is a rational expression, then f can be written in the form p/q where p and q are polynomials.

Given are rational expressions,

5pq / 16p³ ÷ 35p²q² / 8q⁵

Using identity, a/b ÷ c/d = a/b × d/c

5pq / 16p³ × 8q⁵ / 35p²q²

= 40q⁴ / 560p⁴

= q⁴ / 14p⁴

Hence, the value of the expression is q⁴ / 14p⁴

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Answer:

(a) Law connecting the variables:

[tex]M = \frac{5}{8}Ir^{2}[/tex]

(b) r = 8 and r = -8

Step-by-step explanation:

(a) Equation for a joint variation is:

             [tex]M = KIr^{2}[/tex]   where K is the constant

Substituting the provided values of M, I and r:

        =  [tex]20 = K(8)(2^{2} )[/tex]

        =  [tex]20 = K(8)(4)[/tex]

        = 20 = 32K

        = [tex]K = \frac{20}{32}[/tex]

[Divide the numerator and the denominator by the highest common factor (i.e. 4)]

       = [tex]K = \frac{5}{8}[/tex]

Therefore:

[tex]M = \frac{5}{8}Ir^{2}[/tex]

(b) [tex]M = \frac{5}{8} I r^{2}[/tex]

Substituting the values of M and I:

[tex]400 = \frac{5}{8} (10)r^{2}[/tex]

[tex]400 = \frac{5}{8} (10)r^{2}[/tex]

[tex]400 = \frac{50}{8} r^{2}[/tex]

[tex]\frac{(400)(8)}{500} =r^{2}[/tex]

[tex]\frac{3200}{50} = r^{2}[/tex]

[tex]64 =r^{2}[/tex]

Taking the square root on both sides of the equation:

[tex]r = \sqrt{64}[/tex]

[tex]r = 8[/tex] and [tex]r = -8[/tex]

Answer:

P = 5c + 11 , c = 3

Step-by-step explanation:

(a)

the perimeter P) is the sum of the sides.

Note that the 2 sides with a ' dash' through them are congruent

summing the 4 sides

P = c + 5 + 3c - 2 + 10 - 2c + 3c - 2 ( collect like terms )

  = 5c + 11

(b)

equate the expression for P from (a) to 26

5c + 11 = 26 ( subtract 11 from both sides )

5c = 15 ( divide both sides by 5 )

c = 3

The compound inequality for the graph given is  -2 < x < 5.

When a compound inequality is graphed such that there is an open circle instead of a filled - in circle over a number, then it means that x is either greater than this value, or less than this value. In other words, x is not equal to this value.

The circles over - 2 and 5 are not filled in which means that x is greater or less than - 2 and 5.

x is less than 5 because the arrow goes from 5 to infinity and x is greater than - 2 for the same reason.

The compound inequality is therefore:

-2 < x < 5

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