What is the slope of a line perpendicular to a line with equation 6x-4y=30

rancho middle school has an average of 23/3/8 students per teacher. write this mixed number as a decimal

Len [333]

Rancho middle school has an average of 23 3/8 students per teacher.write this mixed number as a decimal.

Answer:

$23\frac{3}{8} = 23.375$

Step-by-step explanation:

Given:

The given mixed number is $23\frac{3}{8}$

We need to write the given mixed number as a decimal.

So, we find the decimal number by separating the parts.

$=23+\frac{3}{8}$

The value of $\frac{3}{8}=0.375$

$=23+0.375$

$=23.375$

Therefore, the decimal number of given mixed number is $=23.375$

8 0

3 years ago

A motorboat maintained a constant speed of 28 miles per hour relative to the water in going 45 miles upstream and then returning

Sveta_85 [38]

The speed of the current is 7 miles per
hour.
Step-by-step explanation:
Let × represent speed of the current.
We have been given that a motorboat
maintained a constant speed of 11 miles per
hour relative to the water in going 18 miles
upstream and then returning.
The speed of motorboat while going
upstream would be 11
The speed of motorboat while going
downstream would be 11 + 2
Time
Distance
Speed

3 0

2 years ago

The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with th

kaheart [24]

Answer:

3/10

Step-by-step explanation:

Step 1 : Write the formula of calculating probability

Probability = Number of favourable outcomes/Number of total outcomes

Step 2 : Identify the favourable (requires) outcomes and the total outcomes

Total outcomes are the total cards that are placed on the table = 10 cards
The favourable outcomes are the number of cards that have an even number on them.

12, 14, 18 = 3 cards

Step 3 : Substitute the values in the formula

Probability = Number of favourable outcomes/Number of total outcomes

Probability = 3/10

Therefore, the probability of picking a card with and even number is 3/10.

!!

7 0

3 years ago

Transformation Rule: Translate 4 units right and 3 units up. B Х A

Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

Translation of a point (h, k) by 'a' units to the right and 'b' units upwards is defined by,

(h, k) → (h + a, k +b)

Coordinates of A → (-4, -2)

Coordinates of B → (1, -1)

Coordinates of C → (0, -5)

If these points are shifted 4 units right and 3 units up,

By applying rules of the translation,

Coordinates of image point A' → (-4 + 4, -2 + 3)

→ (0, 1)

Coordinates of B' → (1 + 4, -1 + 3)

→ (5, 2)

Coordinates of C' → (0 + 4, -5 + 3)

→ (4, -2)

Now plot these points on the graph.

6 0

3 years ago

Using Cramer’s Rule, what is the value of x in the system of linear equations below? x+3y=16 3x+y=8

alexdok [17]

Cramer's rule works as follows:
x+3y=16
3x+y=8
Then
x=Dx/D
y=Dy/D
where Dx,Dy,D are 2x2 matrices formed from of coefficients and right hand side.
D=
1 3
3 1
=1-9=-8
Dx=matrix D with first column replaced by the vector [16,8]=
16,3
8 1
=16-24
=-8

Dy=matrix D with second column replaced by the vector [16,8]=
1 16
3 8
=8-48
=-40

Therefore
x=-8/-8=1
y=--40/-8=5

Check:
x+3y=1+3(5)=16
3x+y=3(1)+5=8 ok.

4 0

3 years ago