Rewrite 42= 6x7 using commutative law of multiplication

The distance between each tick mark on this number line= 1/5 units

What is unit rate?

A unit rate is the cost for only one of anything. This is expressed as a ratio with a denominator of 1. For instance, if you covered 70 yards in 10 seconds, you did so at an average speed of 7 yards per second. Although both of the ratios—70 yards in 10 seconds and 7 yards in one second—are rates, only the latter is a unit rate.

5 equal spaces between 0 and 1 shows,

5 equal spaces= 1 unit

1 equal space = x units

Do the cross multiplication.

5*x=1*1

5x=1

x=1/5

So, the distance between each tick mark on this number line= 1/5 units

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Answer:

1/5 is the answer

Answer:

J+11=M

Step-by-step explanation:

What ever age MAcy is Josie is 11 years older than Macy I think the equation is correct sometimes  I struggle with those.

Answer: Confounding Variable

Step-by-step explanation:

Answer: Confounding variables

Step-by-step explanation:

Took exam and got it correct

The additional information is required to prove the triangles are congruent with ASA Postulate is \(\bar{RS} \cong \bar{CS}\) (option d)

In order to prove that two triangles are congruent using the ASA postulate, we need to know that they have two pairs of congruent angles and a congruent side that is in between those angles. The image below shows two triangles, but we do not have enough information to prove that they are congruent with the ASA postulate.

To use the ASA postulate, we need to have a congruent side in between the two congruent angles. In this case, we do not know if side RS is congruent to side CS. Therefore, we cannot use the ASA postulate to prove that these triangles are congruent.

In summary, to prove that two triangles are congruent using the ASA postulate, we need to have two pairs of congruent angles and a congruent side in between those angles. Without this information, we cannot use the ASA postulate to prove congruency.

Hence the correct option is (d)

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Answer:

4%

Step-by-step explanation:

item cost x sales tax rate = sales tax

460 x sales tax rate = 18.40

sales tax rate = 18.40/460

sales tax rate = .04 or 4%

The percent increase of the profit is 15%

In this question, the figures are given as

Profit in March = £2750

Profit in April = £3162.50

The percentage of the increase of the profit is then calculated using the following equation

Increase percentage = (Profit in April - Profit in March)/Profit in March * 100%

Substitute the known values in the above equation, so, we have the following representation

Increase percentage = (3162.50 - 2750)/2750 * 100%

Evaluate

Increase percentage = 15%

Hence, the increase in percentage is 15%

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Answer:

k=2   k=-8

Step-by-step explanation:

Answer:

47.44

Step-by-step explanation:

Divide 35.58/3=11.86

Then multiply by 4

11.86x4=47.44

1. ) if 3 pounds cost $35.58, we would divide that by 3 to get the cost of one pound. So, 35.53/3= 11.84.

2.) knowing that one pound costs $11.84, we multiply the cost of one pound by four. so, $11.84 x 4= $47.36

Answer: $47.36 for 4 pounds.

Answer:

I know I'm not answering your question but math-way helps and its fast i just want to save you time <3

Step-by-step explanation:

have a nice day

The expression is solved to give 93 1/3

Fractions are defined as the part of a whole element, a whole number or a whole variable.

In mathematics, there are different types of fractions.

The types of fractions are listed as;

From the information given, we have that the fraction is;

140/1.5

Convert 1.5 to fraction, we have;

1.5 = 3/2

Substitute the value, we have;

140/3/2

Then, we get;

140(2)/3

Multiply the values, we get;

93  1/3

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Answer: The total distance covered by the car is 331 9/16 km.

Step-by-step explanation:

We know that, speed= distance/time taken

Therefore, distance = speed x time taken

= 132 5/8 x 2 1/2

= 5/2 x 1061/8

= 5305/16

= 331 9/16 km

Therefore, total distance is 331 9/16 km.

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Answer:

Impossible

Step-by-step explanation:

Answer:

hope this help you......

Answer:

The 3rd set

Step-by-step explanation:

The first set has a range of 6, not 5

The second set has a range of 5, but not a mean of 5

The third set has both a mean and a range of 5

Answer:

Divide both sides by the numeric factor on the left side, then solve.

Exact Form:

x=−7/2

Decimal Form:

x=−3.5

Mixed Number Form:

x=−3 1/2

Step-by-step explanation:

Answer:

- 3.5

Step-by-step explanation:

hope this helps :)

Answer:

7x12x13=1092

Step-by-step explanation:

If X represents the drummers and Y represents the violinists.

You have Y= 5 violinists and X= d drummers.

You know that there are two more violinists that drumers, you can symbolize it as X= Y-2 = 5-2= 3

There are d= 5-2=3 drummers.

Answer:

The second one

Step-by-step explanation:

USE THE BUTTERFLY TECHINQUE

3/8 O 1/6

18 3/8 O 1/6 8

18 > 8

3/8 > 1/6

Answer:

B is correct

3/8> 1/6 = 3 · 3/8 · 3 > 1 · 4/6 · 4 = 9/24 > 4/24 = 9 > 4 = Yes

Answer:

x=–2

Step-by-step explanation:

x-8=-10

x=-10-8

x=–2

Answer:

-8= -10

, = -10+8

, = -2

Answer:

27455

Step-by-step explanation:

32300per of 85

is 27455

The graph of the equation 3x + 4y = 0 is a straight line with a negative slope passing through the origin.

The given equation, 3x + 4y = 0, represents a linear graph in the Cartesian coordinate system. Let's analyze its characteristics.

First, note that the equation is in the standard form for a linear equation, which is Ax + By = C, where A, B, and C are constants. In this case, A = 3, B = 4, and C = 0.

To graph this equation, we can rewrite it in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. By isolating y, we have y = (-3/4)x + 0. Since the y-intercept (b) is 0, the line intersects the y-axis at the origin (0,0).

Next, we can examine the slope. The coefficient of x, -3/4, represents the ratio of the change in y (vertical) to the change in x (horizontal) as we move along the line. In this case, the slope is negative, indicating that the line descends from left to right. The magnitude of the slope, 3/4, implies that for every 4 units moved horizontally to the right, the line goes 3 units down vertically.

Therefore, we can conclude that the graph of the equation 3x + 4y = 0 is a straight line passing through the origin (0,0) with a negative slope. It extends indefinitely in both directions, with the line getting steeper as we move to the right.

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The correct numerical expression for "12 times the sum of 5 and 25 minus 2" by simplification is option (b) , i.e 12 x (5 + 25) − 2.

Simplification means simplifying an expression by reducing it to a simpler form. Approximating means simplifying the formula to the nearest value, which is not exactly correct. 

BODMAS stands for Bracket, Off, Division, Multiplication, Addition, and Subtraction. BODMAS is used to describe the order of operations in formulas. In some areas, BODMAS is also known as PEDMAS. This represents parentheses, exponents, division, multiplication, addition, and subtraction. 

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Answer:

12 x (5 + 25) − 2

Step-by-step explanation:

hope this helps!

Given:

Put y=-7x in second equation,

Put the value of x in first equation,

Answer: x = -2, y = 14.

Answer:

a. the probability that her pulse rate is less than 76 beats per minute is 0.5948

b. If 25 adult females are randomly​ selected,  the probability that they have pulse rates with a mean less than 76 beats per minute is 0.8849

c.   D. Since the original population has a normal​ distribution, the distribution of sample means is a normal distribution for any sample size.

Step-by-step explanation:

Given that:

Mean μ =73.0

Standard deviation σ =12.5

a. If 1 adult female is randomly​ selected, find the probability that her pulse rate is less than 76 beats per minute.

Let X represent the random variable that is normally distributed with a mean of 73.0 beats per minute and a standard deviation of 12.5 beats per minute.

Then : X \(\sim\) N ( μ = 73.0 , σ = 12.5)

The probability that her pulse rate is less than 76 beats per minute can be computed as:

\(P(X < 76) = P(\dfrac{X-\mu}{\sigma}< \dfrac{X-\mu}{\sigma})\)

\(P(X < 76) = P(\dfrac{76-\mu}{\sigma}< \dfrac{76-73}{12.5})\)

\(P(X < 76) = P(Z< \dfrac{3}{12.5})\)

\(P(X < 76) = P(Z< 0.24)\)

From the standard normal distribution tables,

\(P(X < 76) = 0.5948\)

Therefore , the probability that her pulse rate is less than 76 beats per minute is 0.5948

b.  If 25 adult females are randomly​ selected, find the probability that they have pulse rates with a mean less than 76 beats per minute.

now; we have a sample size n = 25

The probability can now be calculated as follows:

\(P(\overline X < 76) = P(\dfrac{\overline X-\mu}{\dfrac{\sigma}{\sqrt{n}}}< \dfrac{ \overline X-\mu}{\dfrac{\sigma}{\sqrt{n}}})\)

\(P( \overline X < 76) = P(\dfrac{76-\mu}{\dfrac{\sigma}{\sqrt{n}}}< \dfrac{76-73}{\dfrac{12.5}{\sqrt{25}}})\)

\(P( \overline X < 76) = P(Z< \dfrac{3}{\dfrac{12.5}{5}})\)

\(P( \overline X < 76) = P(Z< 1.2)\)

From the standard normal distribution tables,

\(P(\overline X < 76) = 0.8849\)

c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

In order to determine the probability in part (b);  the  normal distribution is perfect to be used here even when the sample size does not exceed 30.

Therefore option D is correct.

Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.

Answer:

420 = 4.2 x 100 = 4.2 × 102

Step-by-step explanation:

Answer:

The answer is actually the 3rd customer

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

c trust me

To solve this problem, we need to find the lengths of the two pieces when the wire is cut into two parts. Let's denote the length of each leg of the triangle as\(\(x\).\)

The perimeter of the triangle is the sum of the lengths of its three sides. Since the two legs are equal in length, the perimeter can be expressed as \(\(2x + x = 3x\).\)

The length of the wire is given as 71 cm, so we have the equation \(\(3x = 71\).\)

Solving for\(\(x\),\) we divide both sides of the equation by 3:

\(\(x = \frac{71}{3}\).\)

Now that we know the length of each leg of the triangle, we can proceed to the next part of the problem.

The circumference of a circle is given by the formula \(\(C = 2\pi r\)\), where\(\(C\)\)is the circumference and r is the radius. In this case, the wire of length xis bent into the shape of a circle, so we can set the circumference equal to x and solve for the radius r:

\(\(x = 2\pi r\).\)

Substituting the value of x we found earlier, we have:

\(\(\frac{71}{3} = 2\pi r\).\)

Solving for r, we divide both sides of the equation by \(\(2\pi\):\)

\(\(r = \frac{71}{6\pi}\).\)

Therefore, the two pieces of wire will have lengths\(\(\frac{71}{3}\)\)cm and the radius of the circle will be\(\(\frac{71}{6\pi}\)\) cm.

In summary, when the 71 cm wire is cut into two pieces, one piece will have a length o\(\(\frac{71}{3}\)\)cm, which can be bent into the shape of an equilateral triangle with legs of equal length, and the other piece can be bent into the shape of a circle with a radius of \(\(\frac{71}{6\pi}\)\) cm.

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