MATHEMATICS MIDDLE SCHOOL

Solve and graph, showing your work.Then name the solution set and draw the graph of the solution set.
y-4<-7 or y-1>6​
Solve and graph, showing your work. Then name the solution - 1

Answers

Answer 1
Answer: For the inequality y - 4 > -7, get y by itself by adding 4 to both sides. Now you have y > -3.
For the inequality y - 1 < 6, get y by itself by adding 1 to both sides. Now you have y < 7.

Graph the set y > -3 and y < 7. It should look like this:

Related Questions

The sum of two consecutive even integers divided by four is 189.5
Write an equation in slope intercept form for a line that goes through the point (-9,4) and is perpendicular to line Y=-3x-2
Cost to store: $80 Markup: 60%
Which of the following are remote interior angles of​
The equation for the best fit line is y=5.2x+18. It says if the observed value when x=10 was y=62, then which of the following represents the value of the residual for this point. The options are 52, 8,-8,&-10. i need help please!!

With a principal investment of $19,200, which account will have the greatest value after 5 years? simple interest: I = P • r • t interest compounded annually is A = P (1 + r)t interest compounded quarterly: A = P (1 + )4t A. 3.6% with interest compounded annually B. 3.8% in a simple interest account C. 3.4% with interest compounded annually D. 3.2% with interest compounded quarterly

Answers

Given:
Principal: 19,200
term: 5 years

a) Interest compounded annually:
A = 19,200 (1 + 0.036)^5
A = 19,200 (1.036)^5
A = 19,200 (1.1934)
A = 22,913.28

b) Simple Interest
I = 19,200 * 0.038 * 5
I = 3,648.38

19,200 + 3,648.38 = 22,848.38

c) Interest compounded annually
A = 19,200 (1 + 0.034)^5
A = 19,200 (1.034)^5
A = 19,200 (1.182)
A = 22,694.40

d) Interest compounded quarterly
A = 19,200 (1 + 0.032/4)^4*5
A = 19,200 (1 + 0.008)^20
A = 19,200 (1.008)^20
A = 19,200 (1.173)
A = 22,521.60

Dan is thinking of a number. The quotient of thisnumber and 1.8 is31.5. Find Dan's number.

Answers

56.7

31.5 x 1.8 = 56.7, and 56.7 / 1.8 = 31.5 

The area of a rectangular patio is 558 square yards, and its length is 112 yards. What is the patio’s width, in yards?

Answers

area=legntht times width
area=558
legnth=112
width=?
subsitute
558=112 times ?
divide both sides by 112 (since 112/112=1)
558/112=1 times ?
4 and 55/56=?
aprox
4.98214

width is close to 5 yards
 
Area for a rectangle=l×w

112×w=558 yds^2
---------  -----------
112        112
w≈4.98 yards

Check:
112×4.98
=557.76

X3+6x2+6x+5 : x2+x+1

Answers

I am assuming this was the question you want answered
3x+6x^2+6x+5 = 2x+x+1
First you would combine all like terms on both sides. Start with the numbers with x
3x+6x= 9x
2x+x= 3x
Now multiply 6*2
6*2= 12

Now you have you have
9x+12+5 = 3x+1

Now combine 12+5
12+5=17

Now you have 
9x+17 = 3x+1

Now subtract 1 from both sides
9x+17 = 3x+1
      -1         -1
9x+16 = 3x+0

Now subtract 9x from both sides
9x+16 = 3x+0
-9x        -9x
0+16 = -6x

Now divide -6 by both sides
16 = -6x
----    ----
6        6

The final answer is 2 2/3 = x or 2.66666 = x

Quadrilateral ABCD is an isosceles trapezoid with AB || CD If Angle D= 70 degrees, which statement is false? A. angle C=70
B. angle C=110
C.angle B=110
D.angle A=110

Answers

For the quadrilateral ABCD if Angle D=70 then the angle A cannot be equal to 110 if AB II CD .

What is an isosceles trapezoid?

It is a trapezoid in which the base angles are equal and the left and right side lengths are equal.

How to calculate angles?

In an isoceles trapezoid the angles made by the base  are equal. So if AB II CD and the angle D is 70then the angle C will be 70, Angle B will be 180-70=110 and angle A will be 180-110=70.

Hence the correct option for the given question will be option D.

Learn more about isoscelestrapezoid at brainly.com/question/8644421

#SPJ2
i think it is d angle a=110

Jamel watched his older brother Robert lift weights. The bar alone had a mass of 20 kg. On the bar he had tow 11.4 kg weights, two 4.5 kg weights , and four 450 g weights. What mass was Robert lifting ?

Answers

all you do is add them all together...
20 + 11.4 + 11.4 + 4.5 + 4.5 + 0.45 + 0.45 + 0.45 + 0.45 = 53.6Kg
(note that 0.45 is 450g in Kg, When adding things such as weight or length you want to make sure that they are all in the same unit)
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