A money box contains only 10-cent
and 20-cent coins. There are 28
coins with a total value of $3.80.
How many coins of each?

Answer:

25 is A and 26 is B

Step-by-step explanation:

25) a²+b²=c²

missing side can be=b

to find the missing side subtract 6.7² from 12.6²

b²=12.6²-6.7²

b²=158.76-44.89

the square root of b²= the square root of 113.87

b=10.67

the missing side is equal to 10.7(1d.p)

26) a²+b²=c²

c= hypotenuse

10.8²+11²=c²

116.64+121=c²

c²=237.64

the square root of c²= the square root of 237.64

c=15.42(2d.p)

the hypotenuse is=15.4

The places that I have "the square root of" you must replace it with the square root sign. I'm using my phone so I wasn't sure how to insert a square root sign.

Answer:

c

Step-by-step explanation:

4/6 is reduced to two thirds

Answer:

No solution is possible from the provided information

Step-by-step explanation:

Answer:

[tex]\frac{q - r}{m- n} = \frac{p - s}{m - n}[/tex]

Step-by-step explanation:

Given

See attachment for parallelogram

Required

Proof that ABCD is a parallelogram

We know that opposite sides are equal and parallel.

First, we calculate the slope of BC

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m = \frac{q - r}{m- n}[/tex]

Next, the slope of AD using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m = \frac{p - s}{m - n}[/tex]

For ABCD to be a parallelogram; then:

[tex]\frac{q - r}{m- n} = \frac{p - s}{m - n}[/tex]

Hey there! The topic for this problem is Limit of Function!

As for the question, we are given the quadratic function and we have to find the limit, the value that approaches to a.

[tex] \large \boxed{lim_{x \longrightarrow a} f(x)}[/tex]

We call this, "The limit of f(x) when x approaches a."

Then you may ask, "How do we find the limit of function?". That is a very nice question! The answer to your problem is just substitute x-value in. Although this substitution method only applies when the approaching value doesn't make the denominator to 0. I believe that in the beginning of Limit topic, we learn how to find or evaluate the basic limit that only requires substitution.

So from the question, we receive:

[tex] \large{lim_{x \longrightarrow 2} ( {x}^{2} - 3x - 1)}[/tex]

Next step is to substitute x = 2 in the function.

[tex] \large{lim_{x \longrightarrow 2} ( {2}^{2} - 3(2) - 1)}[/tex]

Evaluate the value.

[tex] \large{lim_{x \longrightarrow 2} ( 4 - 6 - 1)} \\ \large{lim_{x \longrightarrow 2} ( - 3)}[/tex]

Cancel the limit out and there you have it!

[tex] \large \boxed{ - 3}[/tex]

Answer

Now whenever you learn limit, you must know that limit is when we substitute the approaching value. That means x —> 2 is not x = 2 but x approaches 2.

Regarding the limit, any questions and doubts can be asked through comment and I will get back to you soon!

Thank you for using Brainly and I hope you have a fantastic day! Good luck on the assignment.

Answer:

The common denominator of [tex]y + \frac{y-3}{3}[/tex] is 3

Step-by-step explanation:

Given

The complex fraction

Required

The common denominator

To solve this, we need not consider the whole complex fraction.

We only consider

[tex]y + \frac{y-3}{3}[/tex]

Take LCM

[tex]y + \frac{y-3}{3} = \frac{3y - (y-3)}{3}[/tex]

Single out the denominator, i.e. 3

Hence, the common denominator of [tex]y + \frac{y-3}{3}[/tex] is 3

Answer:

The expected total amount of time the operator will spend on the calls each day is of 210 minutes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

n-values of normal variable:

Suppose we have n values from a normally distributed variable. The mean of the sum of all the instances is [tex]M = n\mu[/tex] and the standard deviation is [tex]s = \sigma\sqrt{n}[/tex]

Calls to a customer service center last on average 2.8 minutes.

This means that [tex]\mu = 2.8[/tex]

75 calls each day.

This means that [tex]n = 75[/tex]

What is the expected total amount of time in minutes the operator will spend on the calls each day

This is M, so:

[tex]M = n\mu = 75*2.8 = 210[/tex]

The expected total amount of time the operator will spend on the calls each day is of 210 minutes.

Answer:

[tex]Probability = \frac{4}{15}[/tex]

Step-by-step explanation:

B1 = first bag

B2= second bag

B3 = third bag

Let A = ball drawn is red

Since, there are three bags.

Probability of choosing one bag=  P(B1) = P(B2) = P(B3) = 1/3.

From B1: Total balls = 10

3 red + 7 black balls.

Probability of drawing 1 red ball from it , P(A) = 3/10.

From B2: Total balls = 10

8 red + 2 black

Probability of drawing 1 red ball is, P(A) = 8/10

From B3 : Total Balls = 10

4 red + 6 black

Probability of drawing 1 red ball, P(A) = 4/10 .

To find Probability given that the ball drawn is red, that the ball is drawn from the third bag by Bayes' rule.

That is , P(B3|A)

                     [tex]=\frac{\frac{1}{3} \times \frac{4}{10}} { \frac{1}{3} \times \frac{3}{10} + \frac{1}{3} \times\frac{8}{10} + \frac{1}{3} \times \frac{4}{10}}[/tex]

                    [tex]=\frac{4}{30} \times \frac{30}{15}\\\\=\frac{4}{15}[/tex]

Therefore, the probability that it is drawn from the third bag is 4/15.

Answer:

4/15

Step-by-step explanation:

Solution of conditional probability problem:

Given:

Bags (3R,7B), (8R,2B), (4R,6B)

Let

P(R,i) = probability of drawing a red AND from bag i

P(R, 1) = 3/10 * (1/3) = 3/30

P(R, 2) = 8/10 * (1/3) = 8/30

P(R, 3) = 4/10 * (1/3) = 4/30

Let

Let P(R) = probability of drawing a red from any bag

P(R) = sum P(R,i)  for i = 1 to 3   using the addition rule

= 3/30 + 8/30 + 4/30

= 15/30

= 1 / 2

Conditional Probability of drawing from the third bag GIVEN that it is a red

= P(3 | R)

= P(R, 3) / P(R)

= 4/30 / (1/2)

= 8/30

= 4 / 15

(Since all bags contain 10 balls, by intuition, 4 red from third / 15 total red = 4/15)

Answer:

345

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

Problem 1.

1. QU

2. QW

3. UW

Given

4. QUW

Problem 2.

1. CB

2. <1, <2

Given

3. BD, BE

Given

4. ABD, CBE

SAS

Answer:

The correct answer is -

a. Amount Anton will spend for 3.5 m of cloth

b. 3.5 meters of cloth, 35.00 costs per meter.

c. Multiplication

d. 35.00 × 3.5/1 = N

e. P122.50 amount he will spend for 3.5 meters of cloth

Step-by-step explanation:

Solution:

A. in this question it is asked that how much it will cost Anton to buy the required cloth that is 3.5 meters cloth.

B. Given:

required cloth - 3.5 meters

price or cost of cloth per meter - 35 per meter

C. In this question multiplication will be used to get the answer so the operation would be - multiplication.

D. The number sentence is an equation to express inequality by using numbers and mathematical symbols, here the number sentence would be -

35.00 × 3.5/1 = N

E. The correct answer would be -

N = 35.00 × 3.5/1

= 122.5

Thus, the correct answer would be P 122.5.

Answer:

The solution is D. x² + y² + 4x - 2y = -1

Step-by-step explanation:

The standard form of a circle with a center at (h,k) and a radius r is:

(x-h)² + (y-k)² = r²

Since the center is (-2,1) and the radius is

2, we know that:

Thus, the equation of the circle is:

(x-(-2))² + (y-1)² = 2²

This simplifies to be

(x+2)² + (y-1)² = 4

The equation of the circle is:

(x+2)² + (y-1)² = 4

x²+4x+4+y²-2y+1 = 4

x²+y²+4x-2y+5 = 4

x²+y²+4x-2y = 4-5

x²+y²+4x-2y = -1

Answer:

7

Step-by-step explanation:

481 + 223

approximately 481 =5

223 =2

5+2=7

Answer:

7

Step-by-step explanation:

Answer:

10.9 %

Step-by-step explanation:

46 - 41 = 5

5/46 * 100% = 10.8695652174%

Rounded

10.9 %

Answer:

x=41

Step-by-step explanation:

LM =JM

154=4x-10

154+10=4x

164=4x

164/4=4x/4

41=x

hope this is helpful

Answer:

sum of angles in a triangle = 180°

180-(90+21)

= 69

pls am I correct

Answer:

Step-by-step explanation:

y = 2x-8

2x = y+8

x = 0.5y+4

inverse function: y = 0.5x+4

Answer:

When we multiply two number with the same base but different power, the power gets added.

So, the answer is:

5^17*5^2

=5^(17+2)

=5^19

Answer:

So, to fill the tray completely , he needs 3 bags of sand.

Step-by-step explanation:

Tray dimensions,

length = 0.8 m

Width = 0.6 m

height = 0.1 m

Volume of one sand bag = 17000 cm^3

Let the volume of the tray is V.

V = length x idth x height

V = 0.8 x 0.6 x 0.1 = 0.048 m^3

Number of sand bags

[tex]n=\frac{0.048}{17000\times 10^{-6}}\\\\n = 2.82[/tex]

So, to fill the tray completely , he needs 3 bags of sand.

Answer:

a)89

b)89.45

Step-by-step explanation:

Answer:

k=7

Step-by-step explanation:

2x+3y=k

2(2)+3(1)=k

4+3=k

k=7

Answer:

7.

Step-by-step explanation:

Substitute x = 2 and y = 1 into the given equation:

2(2) + 3(1) = k

4 + 3 = k

k = 7.

Given:

A figure of a construction.

To find:

The correct option that represent the given construction.

Solution:

We know that, if a transversal line intersect two parallel lines, then the corresponding angles are equal.

In the given figure, two corresponding angles are constructed by using the compass.

Since the corresponding angles are equal, therefore the construction represents the parallel lines through a point.

Therefore, the correct option is B.

Answer:

= 5 * NORMINV(RAND(), 35, 5)

Step-by-step explanation:

From the given information:

The total weekly profit is achieved by the multiplication of the unit profit (5) and the weekly demand.

Here, the weekly demands obey a normal distribution where the mean = 35 and the standard deviation = 5.

Using the Excel Formula:

The weekly profit can be computed as:

= 5 * NORMINV(RAND(), 35, 5)

Answer:

b.) Two-tailed test

Step-by-step explanation:

Blake hypothesizes that the average age of the population of Texas is not equal to 38 years.

This means that at the alternative hypothesis, we test if the average is different of 38, that is:

[tex]H_1: \mu \neq 38[/tex]

When the test at the alternative hypothesis is of difference, we have a two-tailed test, and thus the answer is given by option b.

Answer:

Two-tailed test

Step-by-step explanation:

Got it right on the test.

Answer:

34 cm

Step-by-step explanation:

The radius is half of the diameter, so 17 cm is half of 34 cm.

Diameter = 34 cm

The equation and graph show the cost to rent movies from two different companies. The cost is a function of the number of movies rented.The description best compares the two functions?

here the pic and pls brainly me hege