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1 year ago

Find the value of x and BC if B is between C and D CB=4x-9 BD=3x+5 and CD= 17

1 answer:

4 0

X = 3 and CB = 19. To find x you would put 4x-9 + 3x+5 = 17. Remember to get all the x’s on one side and the other numbers on the other aide of the equal sign. Then plug x into the length of BC.

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herlene has 5.05 in quarters and dimes. The number of quarters is one more than twice the number of dimes. Find the number she h

VLD [36.1K]

Answer:

Herlene has 8 dimes and 17 quarters

Step-by-step explanation:

System of Equations

Let's call:

x = number of dimes Herlene has

y = number of quarters Herlene has

Since each dime has a value of $0.10 and each quarter has a value of $0.25, the total money Herlene has is 0.10x+0.25y.

We know this amount is $5.05, thus:

0.10x + 0.25y = 5.05 [1]

It's also given the number of quarters is one more than twice the number of dimes, i.e.:

y = 2x + 1 [2]

Substituting in [1]:

0.10x + 0.25(2x + 1) = 5.05

Operating:

0.10x + 0.5x + 0.25 = 5.05

0.6x = 5.05 - 0.25

0.6x = 4.8

x = 8

From [2]:

y = 2*8 + 1 = 17

y = 17

Herlene has 8 dimes and 17 quarters

4 0

1 year ago

a jar contains 4 cherry drops and 10 honey cough drops tpu choose on cough drop with out looking the cough drop is cherry

umka2103 [35]

Total drops = 4 + 10 = 14
Total cherry drop = 4

P(cherry) = 4/14 = 2/7

Answer:P(Cherry) = 2/7

4 0

2 years ago

Ben is eating some pretzels and an entire small package of mustard as a snack. Based on

olasank [31]

Please consider the attached graph.

We have been given that Ben is eating some pretzels and an entire small package of mustard as a snack. We are asked to find the equation that represents the relationship between the number of pretzels that Ben eats, x, and the total amount of sodium in his snack, y.

First of all, we will find the slope of the line using points (1,80) and (5,140).

$m=\frac{140-80}{5-1}$

$m=\frac{60}{4}$

$m=15$

Now we will use point-slope form of equation $y-y_1=m(x-x_1)$ , where m represents slope of line and point $(x_1,y_1)$ is on the line.

We will substitute $m=15$ and coordinates of point (1,80) in above equation.

$y-80=15(x-1)$

$y-80=15x-15$

$y-80+80=15x-15+80$

$y=15x+65$

Therefore, the equation $y=15x+65$ represents the relationship between the number of pretzels that Ben eats and the total amount of sodium in his snack.

7 0

2 years ago

iven: C is a point on the perpendicular bisector, l, of AB. Prove: AC = BC Use the drop-down menus to complete the proof. By the

ZanzabumX [31]

Answer:

See the attached figure for better explanation :

Step-by-step explanation :

1. By the unique line postulate, you can draw only one line segment : BC

Since only one line can be drawn between two distinct points.

2. Using the definition of reflection, reflect BC over l.

To find line segment which reflects BC over l, we will use the definition of reflection.

3. By the definition of reflection, C is the image of itself and A is the image of B.

Definition of reflection says the figure about a line is transformed to form the mirror image. Now, CD is perpendicular bisector of AB so A and B are equidistant from D forming the mirror image of each other.

4. Since reflections preserve length, AC = BC

In Reflection the figure is transformed to form a mirror image, Hence the length will be preserved in case of reflection.

8 0

2 years ago

Read 2 more answers

Which of the following is NOT a property of the chi-square distribution?

LenKa [72]

Answer:

A) The mean of the chi-square distribution is 0

A) is not a property of chi square distribution.

Step-by-step explanation:

We have to find the properties of a chi square test.

A) False

The mean of a chi square distribution is equal to the degree of freedom.

B) True

The chi-square distribution is non symmetric.

C) True

The chi square value can be zero and positive.

It can never be negative because it is based on a sum of squared differences .

D) True

The chi-square distribution is different for each number of degrees of freedom.

When we are working with a single population variance, the degree of freedom is n - 1.

5 0

2 years ago