What is the distance between 17 and 31 on a number line
2 answers:
You might be interested in
Simple....
Which value is a solution of the equation 2 – 8x = –6?(1 point)• 1• –1• 8
You have: 2-8x=-6
plug n chug...
2-8(1)=-6
2-8=-6
-6=-6 (Yes) (<<---Answer)
2-8(-1)=-6
2+8=-6
10=-6 (No)
2-8(8)=-6
2-64=-6
-62=-6 (No)
3. Which ordered pair is a solution of the equation y = x – 4?(1 point)• (2, 6)• (6, 2)• (–2, 6)• (–6, 2)
Plug n chug.....
you have:y=x-4
(2,6)
6=2-4
6=-2 (No)
(6,2)
2=6-4
2=2 (Yes) (<<<---Answer)
(-2,6)
6=-2-4
6=-6 (No)
(-6,2)
2=-6-4
2=-10 (No)
4. Which ordered pair is a solution of the equation y = 4x?(1 point)• (1, 3)• (–1, –4)• (–4, –1)• (1, –4)
You have: y=4x
(1,3)
3=4(1)
3=4 (No)
(-1,-4)
-4=4(-1)
-4=-4 (Yes) (<<<----Answer)
(-4,-1)
-1=4(-4)
-1=-16 (No)
(1,-4)
-4=4(1)
-4=4 (No)
5. Which ordered pair is a solution of the equation y = –9x + 4?(1 point)• (10, –86)• (–4, –58)• (6, –41)• (–6, 57)
You have: y=-9x+4
(10,-86)
-86=-9(10)+4
-86=-90+4
-86=-86 (Yes) (<<<---Answer)
(-4,-58)
-58=-9(-4)+4
-58=36+4
-58=40 (No)
(6,-41)
-41=-9(6)+4
-41=-54+4
-41=-50 (No)
(-6,57)
57=-9(-6)+4
57=54+4
57=58 (No)
6. Mike and his best friend Dan have the same birthday, but Mike is three years older than Dan. Let the variable x represent Mike’s age and y represent Dan’s age. Which graph represents the relationship between Dan’s age and Mike’s age?(1 point)
There is no graph.
7. Solve the following equation.
–4 = g + 1(1 point)• g = –4• g = 4• g = –5• g = –3
You have: -4=g+1
-4=g+1
-1 -1
-5=g (Answer/C)
8. Solve the following equation.
x – 3 = –5(1 point)• x = • x = –2• x = –8• x = 15
You have: x-3=-5
x-3=-5
+3 +3
x=-2 (Answer)
9. Solve the following equation.
2.8 = 2y(1 point)• y = 1.4• y = • y = 2.8• y = 0.6
You have: 2.8=2y
2.8=2y
1.4=y (Answer)
10.
Solve the following equation.
–8 =
(1 point)
• z = –
• z = –5
• z = –24
• z =
11.
Solve the following equation.
–9 =
(1 point)
• n =
• n =
• n =
• n =
NUMBER 10 AND 11..THERE IS NOTHING I CAN WORK WITH,THEREFORE I CAN NOT GIVE AN ANSWER....
12.
Which equation is an identity?
(1 point)
• 11 – (2v + 3) = –2v – 8
• 5w + 8 – w = 6w – 2(w – 4)
• 7m – 2 = 8m + 4 – m
• 8y + 9 = 8y – 3
You have:
11-(2v+3)=-2v-8
11-2v-3=-2v-8
-2v+8=-2v-8 (No)
5w+8-w=6w-2(w-4)
4w+8=6w-2w+8
4w+8=4w+8 (Yes) (<<<<--Answer)
7m-2=8m+4-m
7m-2=7m+4 (No)
8y+9=8y-3 (No)
13.
Which equation has no solution?
(1 point)
• 8 – (5v + 3) = 5v – 5
• 3m – 6 = 5m + 7 – m
• 3w + 4 – w = 5w – 2(w – 2)
• 7y + 9 = 7y – 6
You have:
8-(5v+3)=5v-5
8-5v-3=5v-5
-5v+5=5v-5
+5 +5
-5v+10=5v
+5v +5v
10=10v
1=v
3m-6=5m+7-m
3m-6=4m+7
-3m -3m
-6=m+7
-7 -7
-13=m
3w+4-w=5w-2(w-2)
2w+4=5w-2w+4
2w+4=3w+4
-2w -2w
4=w+4
-4 -4
0=w
7y+9=7y-6
-7y -7y
NO SOLUTION (ANSWER)
Thus, your answer.
Which value is a solution of the equation 2 – 8x = –6?(1 point)• 1• –1• 8
You have: 2-8x=-6
plug n chug...
2-8(1)=-6
2-8=-6
-6=-6 (Yes) (<<---Answer)
2-8(-1)=-6
2+8=-6
10=-6 (No)
2-8(8)=-6
2-64=-6
-62=-6 (No)
3. Which ordered pair is a solution of the equation y = x – 4?(1 point)• (2, 6)• (6, 2)• (–2, 6)• (–6, 2)
Plug n chug.....
you have:y=x-4
(2,6)
6=2-4
6=-2 (No)
(6,2)
2=6-4
2=2 (Yes) (<<<---Answer)
(-2,6)
6=-2-4
6=-6 (No)
(-6,2)
2=-6-4
2=-10 (No)
4. Which ordered pair is a solution of the equation y = 4x?(1 point)• (1, 3)• (–1, –4)• (–4, –1)• (1, –4)
You have: y=4x
(1,3)
3=4(1)
3=4 (No)
(-1,-4)
-4=4(-1)
-4=-4 (Yes) (<<<----Answer)
(-4,-1)
-1=4(-4)
-1=-16 (No)
(1,-4)
-4=4(1)
-4=4 (No)
5. Which ordered pair is a solution of the equation y = –9x + 4?(1 point)• (10, –86)• (–4, –58)• (6, –41)• (–6, 57)
You have: y=-9x+4
(10,-86)
-86=-9(10)+4
-86=-90+4
-86=-86 (Yes) (<<<---Answer)
(-4,-58)
-58=-9(-4)+4
-58=36+4
-58=40 (No)
(6,-41)
-41=-9(6)+4
-41=-54+4
-41=-50 (No)
(-6,57)
57=-9(-6)+4
57=54+4
57=58 (No)
6. Mike and his best friend Dan have the same birthday, but Mike is three years older than Dan. Let the variable x represent Mike’s age and y represent Dan’s age. Which graph represents the relationship between Dan’s age and Mike’s age?(1 point)
There is no graph.
7. Solve the following equation.
–4 = g + 1(1 point)• g = –4• g = 4• g = –5• g = –3
You have: -4=g+1
-4=g+1
-1 -1
-5=g (Answer/C)
8. Solve the following equation.
x – 3 = –5(1 point)• x = • x = –2• x = –8• x = 15
You have: x-3=-5
x-3=-5
+3 +3
x=-2 (Answer)
9. Solve the following equation.
2.8 = 2y(1 point)• y = 1.4• y = • y = 2.8• y = 0.6
You have: 2.8=2y
2.8=2y
1.4=y (Answer)
10.
Solve the following equation.
–8 =
(1 point)
• z = –
• z = –5
• z = –24
• z =
11.
Solve the following equation.
–9 =
(1 point)
• n =
• n =
• n =
• n =
NUMBER 10 AND 11..THERE IS NOTHING I CAN WORK WITH,THEREFORE I CAN NOT GIVE AN ANSWER....
12.
Which equation is an identity?
(1 point)
• 11 – (2v + 3) = –2v – 8
• 5w + 8 – w = 6w – 2(w – 4)
• 7m – 2 = 8m + 4 – m
• 8y + 9 = 8y – 3
You have:
11-(2v+3)=-2v-8
11-2v-3=-2v-8
-2v+8=-2v-8 (No)
5w+8-w=6w-2(w-4)
4w+8=6w-2w+8
4w+8=4w+8 (Yes) (<<<<--Answer)
7m-2=8m+4-m
7m-2=7m+4 (No)
8y+9=8y-3 (No)
13.
Which equation has no solution?
(1 point)
• 8 – (5v + 3) = 5v – 5
• 3m – 6 = 5m + 7 – m
• 3w + 4 – w = 5w – 2(w – 2)
• 7y + 9 = 7y – 6
You have:
8-(5v+3)=5v-5
8-5v-3=5v-5
-5v+5=5v-5
+5 +5
-5v+10=5v
+5v +5v
10=10v
1=v
3m-6=5m+7-m
3m-6=4m+7
-3m -3m
-6=m+7
-7 -7
-13=m
3w+4-w=5w-2(w-2)
2w+4=5w-2w+4
2w+4=3w+4
-2w -2w
4=w+4
-4 -4
0=w
7y+9=7y-6
-7y -7y
NO SOLUTION (ANSWER)
Thus, your answer.
Answer:
90 minutes
Step-by-step explanation:
See attachment for graph.
First, we need to determine the slope.
When y = 900, x = 0
When y = 600, x = 30
The slope is then calculated as:
m = (y2 - y1)/(x2 - x1)
m = (600 - 900)/(30 - 0)
m = -300/30
m = -10
Next, we determine the equation of the line using
y - y1 = m(x - x1)
So, we have:
y - 900 = -10(x - 0)
y - 900 = -10x
y = 900 - 10x
When the container is empty, y = 0.
So, we have:
0 = 900 - 10x
Collect Like Terms
10x = 900
Solve for x
x = 900/10
x = 90
Answer: $16,200
Step-by-step explanation:
rent.
Raise of 2.5% (0.025)/year.
5 years.
Take the rent (14,400) and add 2.5% (0.025) of it (14400) for five (5) years.