MATHEMATICS MIDDLE SCHOOL

Simplify.(x2 – 3x + 1) - (x2 + 2x + 7)
A.
-6
B.
—
+8
+8
C.
-5x – 6
D. 2x2 – x+8

Answers

Answer 1
Answer: (x^2 - 3x + 1) - (x^2 + 2x + 7)
Distribute the negative
x^2 - 3x + 1 - x^2 - 2x - 7
Combine like terms
-5x - 6

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A DJ has a total of 1075 dance, rock, and country songs on her system. The dance selection is three times the size of the rock selection. The country selection has 105 more songs than the rock selection. How many songs on the system are dance? Rock? Country? Please help! This has to do with substituting linear equations.

Answers

D+R+C=1075\nD=3R\nC=R+105\n\n(3R)+R+(R+105)=1075\n5R=970\nR=194\n\nD=3(194)=\nD=582\n\nC=(196)+105=\nC=301

582 dance songs.
194 rock songs.
301 country songs.

Answersub to me melodwybae

Step-by-step explanation:

In early 2007, a U.S dollar was equivalent to about 0.51 British pounds and about 1.17 Canadian dollars. Round each country's U.S dollar equivalent to the nearest tenth of a dollar????

Answers

British 0.5 Canadian 1.2

The median of the data set is 81 what number is missing in data set 82, 87, 77, 70, 80, 88

Answers

The missing dataset is 81 at the 4th position.

We have the following data set -

82, 87, 77, 70, 80, 88

whose Median is -  81

We have to find out the missing data in this dataset.

What is the formula to find the Median of a set of odd number of elements (say N) ?

If a set consist of odd number of elements, then the median of that set of numbers is the is the element at the position ((N+1)/(2)) ^(th).

Let the missing element be x. Now, the data set becomes -

82, 87, 77, 70, 80, 88, x

To total number of elements in the dataset = 7, which is a odd number.

The element at the ((N+1)/(2)) ^(th) position for odd number of elements equals to Median which is equal to 81.

Hence, the missing dataset is 81 at the position -    ((7+1)/(2)) ^(th) = (8)/(2) = 4th position.

To solve more questions on median, visit the link below -

brainly.com/question/9820885

#SPJ5
the number that missing is clearly 81

Question 3 of 102 Points
What is the midpoint of the segment shown below?
(-1,2)
(73)
O A. (6,3)
O B. (3,3)
O C. (3.)
O D. (6,5)
10

Answers

The midpoint of the segment is approximately (3, 2.5).

What is a midpoint of a line segment?

The midpoint of a line segment is given as,

x = (a + c)/2

y = (b + d) / 2

Where (x, y) is the midpoint and (a, b) and (c, d) are the two endpoints.

We have,

To find the midpoint of the segment between two points, we take the average of their x-coordinates and the average of their y-coordinates.

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

where (x1, y1) = (-1, 2) and (x2, y2) = (7, 3)

Midpoint

= ((-1 + 7)/2, (2 + 3)/2)

= (6/2, 5/2)

= (3, 2.5)

Therefore,

The midpoint of the segment is approximately (3, 2.5).

Learn more about midpointsoflinesegments here:

brainly.com/question/13792156

#SPJ7

Answer:

Step-by-step explanation:

First, these are points in a plane, hence should be (-1,2) and (7,3)

Then we'll have

-1+7=6/2=3

2+3=5/2=2.5

Then midpoint is (3,2.5)

Whats the value of this expression ?
30+[(6÷3)+(3+4)]

Answers

To do this do the work in the brackets first. There are two parentheses.  First solve 6/3.  This gives you two.  Now you add it to 7 (3+4) to get 9.  Now you want to add 30 by 9.  The answer is 39.
Solve the ones inside the parenthesis.
6÷3 = 2
4+3=7  add 7 and 2 which is 9
now since everything inside the brackets and parenthesis is solved add the 30 to 9
 30+9 = 39

4 hot dogs and a soft drink costs $6.30 whereas one hot dog in for soft drinks cost $4.20 what is the total cost of one hot dog and one soft drink?​

Answers

Let h = hot dog
Let s = soft drink
4h + s = 6.30...Equation A
h + 4s = 4.20...Equation B

We have two equations in two unknowns. The unknowns are the variables h and s.
I will solve for s in Equation A by subtracting 4h from both sides.
s = -4h + 6.30
I will now replace s in Equation B with -4h + 6.30 to find the price of one hot dog.
h + 4(-4h + 6.30) = 4.20
h -16h + 25.2 = 4.20
-15h = -25.2 + 4.20
-15h = -21
Divide both sides by -15.
h = -21/-15
h = 21/15
h = 7/5
h = $1.40
We now know the value of one hot dog.
Go back to EITHER Equation A or B, replace h with 1.40, do the algebra and you will find the price of one soft drink.
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