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Over [174]
3 years ago
5

The student to teacher ratio is 19:1 at school and there is a total of 400 students and teachers. How many teachers and how many

students are there?
Mathematics
1 answer:
Jet001 [13]3 years ago
6 0
Suppose there are 19x students, 1x teachers
19x+1x=400
20x=400
x=20
there are 20 teachers and 380 students. 
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The first equation in a system is 5x+2y=-4. Which equation gives a system with no solution.
abruzzese [7]

Answer:

= 0.8 + -0.4y

Step-by-step explanation:

Simplifying

5x + 2y = 4

Solving

5x + 2y = 4

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

5x + 2y + -2y = 4 + -2y

Combine like terms: 2y + -2y = 0

5x + 0 = 4 + -2y

5x = 4 + -2y

Divide each side by '5'.

x = 0.8 + -0.4y

8 0
3 years ago
in a certain town there are 30000 registered voters, of whom 12000 are Democrats. A survey organization is about to take a simpl
mario62 [17]

Answer:

400.

Step-by-step explanation:

The following data were obtained from the question:

Total number of Registered voters = 30000

Total number of Democrats = 12000

Next, we shall determine the percentage of Democrats in the registered voters.

This can be obtained as follow:

Percentage of Democrats = number of Democrats / Total number of registered voters x 100

Percentage of Democrats = 12000/30000 x 100

Percentage of Democrats = 40%

Now, we can obtain the expected value of percentage of Democrats in the 1000 sample as follow:

Percentage of Democrats = 40%

Total number of Sample = 1000

Number of Democrats in the sampl=..?

Percentage of Democrats = number of Democrats in sample / Total number of sample x 100

40% = number of Democrats in sample/1000

Cross multiply

Number of Democrats in sample

= 40% x 1000

= 40/100 x 1000

= 400

Therefore, the expected number of Democrats in the sample is 400.

4 0
3 years ago
What is 0.2(5x – 0.3) – 0.5(–1.1x + 4.2) simplified?
ANEK [815]

Answer:

1.55 x − 2.16

Step-by-step explanation:

5 0
3 years ago
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Answer:

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Step-by-step explanation:

the factors are (x+22)(x-10)=0

so x = -22 and 10, but a dimension cannot be negative, so the answer for x is 10 and then if you plug it back in the dimensions are 4 cm, 11 cm and 21 cm.

When you multiply 4 * 11 * 21 = 924, so you know it's correct.

8 0
3 years ago
In the diagram, polygon ABCD is flipped over a line of reflection to make a polygon with vertices at A′, B′, C′, and D′. Points
Hunter-Best [27]
<span>when flipped over a line of reflection the lengths are still the same the point to the line of reflection is the same length as the line of reflection to the reflected position the distance from the original point to the reflected point is twice the distance from the original point to the line of reflection. </span>
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