A) x + 8 = 28
x = 28 - 8
x = 20
B) y - 4 = 30
y = 30 + 4
y = 34
C) s + 2s = 36
3s = 36
s = 12
D) t - t + 4t = 16
4t = 16
t = 4
E) 5a = 15
a = 3
F) 8x - x = 21
7x = 21
x = 3
[tex] \\ [/tex]
KemberlyJWhich of the following equations results in no solutions?
A 3(v + 5) = 2v - 4 + v
B 3(v + 5) = 2v + 15 + v
C 3(v + 5) = 2v + 15
D 3(v + 5) = 2v - 4
Answer:
[tex]\boxed{\sf A) \:3(v + 5) = 2v - 4 + v}[/tex]
Step-by-step explanation:
[tex]\sf A )\:3(v + 5) = 2v - 4 + v[/tex]
Combine like terms:
[tex]\sf 3\left(v+5\right)=3v-4[/tex]
Expand:
[tex]\sf 3v+15=3v-4[/tex]
Subtract 15 from both sides:
[tex]\sf 3v+15-15=3v-4-15[/tex]
[tex]\sf 3v=3v-19[/tex]
Subtract 3v from both sides:
[tex]\sf 3v-3v=3v-19-3v[/tex]
[tex]\sf 0=-19[/tex]
[tex]\boxed{\sf{No\:Solution}}[/tex]
_________________
[tex]\sf B )\:3(v + 5) = 2v + 15 + v[/tex]
Combine like terms:
[tex]\sf 3\left(v+5\right)=3v+15[/tex]
Expand:
[tex]\sf 3v+15=3v+15[/tex]
Subtract 15 from both sides:
[tex]\sf 3v+15-15=3v+15-15[/tex]
[tex]\sf 3v=3v[/tex]
Subtract 3v from both sides:
[tex]\boxed{\sf 0=0}[/tex]
_______________________
[tex]\sf C)\: 3(v + 5) = 2v + 15[/tex]
Expand:
[tex]\sf 3v+15=2v+15[/tex]
Subtract 15 from both sides:
[tex]\sf 3v=2v[/tex]
Subtract 2v from both sides:
[tex]\sf 3v-2v=2v-2v[/tex]
[tex]\boxed{\sf v=0}[/tex]
_______________________
[tex]\sf D)\: 3(v + 5) = 2v - 4[/tex]
Expand:
[tex]\sf 3v+15=2v-4[/tex]
Subtract 15 from both sides:
[tex]\sf 3v+15-15=2v-4-15[/tex]
[tex]\sf 3v=2v-19[/tex]
Subtract 2v from both sides:
[tex]\sf 3v-2v=2v-19-2v[/tex]
[tex]\boxed{\sf v=-19}[/tex]
___________________________
Graph the solution to this inequality on the number line. −1/3x + 1/2 ≥ −3/4
Answer:
4.5 (4.5 units to the left of 0) Make sure to draw a solid dot over 4.5 and an arrow pointing in the right direction.
>= is the greater than or equal to symbol
Step-by-step explanation
1. Combine like terms- In this problem, the like terms are 1/2 and -3/4, so to move 1/2 over to the other side of the equation, we have to divide each side by 2/1, which is the same as multiplying each side by 2: -1/3x + 1/2 * 2 >= -3/4 * 2.
2. Separate the fraction from x- Now, we simply divide each side by -3/1, which is the same as multiplying each side as -3: -1/3x * -3 >= -3/2 * -3
3. Graph on the number line- We've found that x = 4.5. To check, substitute in 4.5 for the value of x: -1/3(4.5) + 1/2 >= -3/4. -1 >= -3/4 is a true inequality. To graph it on the number line, draw a solid dot over 4.5 and an arrow in the direction of the righthand side.
Name the Solid.
What is the VOLUME of the solid?
Most Precise Answer =
Round to the nearest hundredth.
Approximate Answer =
Round to the nearest tenth if necessary.
Answer:
169.6
Step-by-step explanation:
multiply 27 by 2 then multiply by pi aka 3.14 then get 169.56 but round to 169.6 because 5 or up you round up 1 4 or below you stay the same
When astronauts Neil Armstrong and Buzz Aldrin first walked on
the moon in 1969, they were able to bounce from step to step!
This is because the gravitational force of the moon is about
16.5% of that of the Earth. If you visited the moon,
weighing 100 pounds on Earth, what would your weight be?
Answer:
16.5 pounds
Step-by-step explanation:
16.5% as a decimal is 0.165
0.165 x 100 = 16.5
So in conclusion you will weigh about 16.5 pounds on the moon.
Of the students in your class, 12% are left-handed. What fraction of the students are left-handed? Are there more right-handed or left-handed students? Explain. Write your answers in simplest form.
what is the fraction for the right handed people
Answer:
Step-by-step explanation:
12% is equivalent to 12/100. This reduces to 3/25. Thus, 3/25ths of the students are left-handed. The corresponding fraction for the right handed people is (25-3)/25, or 22/25ths. There are more right-handed people (22/25ths) versus left-handed people.
[tex]y\leq -3/2x -7 on a graph. Is (-1,-8) an ordered pair?
Answer:
Yes
Step-by-step explanation:
It's a yes because all ratios on a graph are an ordered pair
If I am right can you please give me brainliest
help plz:
12. Multiply the following binomials:
a. (x + 3)(x - 4)
b. (s - 2)(2s - 12)
c. (4s - 12)(2s + 4)
d. (2x - 4)(2x - 4)
Answer:
a) x^2 - x -12
b) 2s^2 - 16s + 24
c) 8s^2 - 8s -48
d) 4x^2 - 16x + 16
Answer:
a. x^2 - x - 12
b. 2s^2 - 16s + 24
c. 8s^2 - 8 - 48
d. 4x^2 - 16 + 16
Step-by-step explanation:
You need to use distributive property find the answer.
(x + 3)(x - 4)
>> (x)(x) = x^2
>>(x)(-4) = -4x
(3)(x) = 3x
(3)(-4) = -12
The result will be x^2 -4x + 3x -12
You can simplify this by adding the like terms:
x^2 -4x + 3x -12
>> x^2 - x - 12
Just do the same for the rest of them by using distributive property.
Hope this helps! Have a great day! Also, let me know if you need an explanation for the rest of them too!
Write an equation representing the relationship of 10:20 shown in the graph
10 seed packets grows 20 flowers so 1 seed packet will grow 2 flowers
Answer:
y/2=x
Step-by-step explanation:
if you take the Y axis and dived it by two it will give you your X-axis
By coincidence, Norma's Obedience School trained the same number of dogs and cats last week. The school teaches dogs in groups of 6 and cats in groups of 5. What is the smallest number of cats the school could have had?
Answer:
Its 4
Step-by-step explanation:
Does the following relationship represent a function?
Answer:
yes
Step-by-step explanation:
Grant mows lawns for extra money. He mows 9 lawns in 9 hours on Wednesday and 6 lawns In 6 hours on Saturday.
What is the constant of proportionality that relates the total number of lawns mowed, y, to the number of hours mowing lawns, x?
Answer:
the constant is 1. 9/9 is the same as 1. so 9hours over 9 lawns is 1.
Amelia has 100$ in her savings account and plans on solving 20$ per week. Which equation is right?
1. y= 20x+100
2. y= 100x + 20
3. y=100x
4. y=20x
Answer: I think it is number 1. y=20x+100
Match each expression to the scenario it represents.
the diameter of the sun is about 1.4 x 10^6km. the diameter of the planet Neptune is about 50,000km. which expression best approximates the ratio of the diameter of the sun to the diameter of Neptune
A - 3.6 x 10^2
B - 2.8 x 10^1
C - 2.8 x 10^2
D - 3.6 x 10^-2
Answer:
A. 3.6 × [tex]10^2[/tex].
Step-by-step explanation:
Tony usually saves 1/5 of his allowance. Last week, he only saved 2/3 as much. How much of his allowance did he save last week?
Answer:
2/15
Step-by-step explanation:
All we have to do is multiply 1/5 by 2/3
1 x 2 = 2
5 x 3 = 15
Therefore, Tony saved 2/15 of his allowance last week.
Answer:
2/15
Step-by-step explanation:
you have to multiply 1/5 by 2/3
1 x 2 = 2
5 x 3 = 15
Therefore, Tony saved 2/15 of his allowance last week.
Solve for w.
6(33−w)=90
Enter your answer in the box
What is the range of possible sizes for side x? _ < x < _
Answer:
0.5 < x < 16.5
Step-by-step explanation:
The third side of the triangle must be longer than the difference of the other two sides:
x > (8.5 -8.0)
x > 0.5
And it must be shorter than their sum:
x < (8.5 +8.0)
x < 16.5
The third side must be in the range ...
0.5 < x < 16.5
_____
These limits are a direct consequence of the triangle inequality, which requires the sum of the two shortest sides exceed the length of the longest side.
Extra points . Middle school work
Answer:
1/12, 1 1/2, 1/48
Step-by-step explanation:
What is the volume of this rectangular prism?
Enter your answer in the box.
(Yes I Know I'm Annoying With The Questions.)
Answer: The Volume of a rectangular prism is:
Width x hight x length
HOW DO YOU FIND RADIUS
Answer:
you can divide the diameter by 2 or divide the circumference by 2pi
Step-by-step explanation:
If the circumference of a circle is given:
Let the radius be r.Say, that the circumference is given as C.By using the formula,[tex]2\pi \: r = C \\ = > r = \frac{C}{2\pi} [/tex]So, to find radius of a circle when circumference is given, we have to divide the circumference with 2π. Then, we will get the radius of the circle.Note : You have to consider π as 22/7 or 3.14. Or the value will be given in the question.If the diameter of a circle is given:
Let the radius be r.Let the diameter be D.By using the formula,2r = D[tex] = > r = \frac{D}{2} [/tex]Hence, if the diameter of a circle is given, we have to just divide the diameter with 2. Then we will get the radius of the circle.Hope you could get an idea from here.
Doubt clarification - use comment section.
Hi I’m back again and I need help with this question on my daily common core review sheet. Thanks a lot, answer this and you get 20 points, I will give lots of points on Christmas as a gift for people who need some thank you
Answer:
B
Step-by-step explanation:
That's the biggest number
Answer: B
Step-by-step explanation:
In this problem we know that the Acme Nails made 55,672 and the problem is asking who made more. Knowing this we now know we need to find a number higher then 55,672.
A is incorrect because it is less the 55,672 and same goes for C and D
B is correct because 55,674 is 2 more then 55,672
I hope this helps have a great day and merry Christmas :)
Eddie's electric charges 90$ per hour plus a 50$ traveling fee. Which equation is true?
1. y=50-90x
2. y=90x+50
3. y= -50x+90
4. y= -90 - 50x
Answer:
B. y=90x+50
Step-by-step explanation:
He has a dept of $90 dollars per hour plus a $50 dept on traveling.
x= money dept per hour
y= total amount
Find the value of x in the isosceles triangle shown below
Answer:
x = 10
Step-by-step explanation:
if there 2 same triangle then they are right triangle
By using Pythagorean theorem for 1 of right triangle, we have
[tex]\sqrt{74} ^{2}[/tex] = [tex]7^{2}[/tex] + [tex](\frac{x}{2}) ^{2}[/tex]
74 = 49 + [tex]\frac{x^{2}}{4}[/tex]
74 - 49 = [tex]\frac{x^{2}}{4}[/tex]
25 = [tex]\frac{x^{2}}{4}[/tex]
therefore, x = [tex]\sqrt{25*4}[/tex] = [tex]\sqrt{100}[/tex] = 10
The table below shows a relationship between x and y that is NOT a function. Write one ordered pair that can be removed from the table to make the relationship between x and y a function.
Answer:
The functions are not inverses because for each ordered pair (x, y) for one function, there is no corresponding ordered pair (y, x) for the other function.
Step-by-step explanation:
Jake is going shopping for a apple and soda cans, the cost of the apple is 12$ and the cost of each soda can is 7% if jake can spend at most 208$ how many loafs of bread can be purchased? Pls explain how I can do each step and get the solution (picture of steps I need to go by)
Answer: where does bread come from
Step-by-step explanation:
i need help again...
Make a table of equivalent ratios based on the graph below
A right triangle has sides of length 3, 4, and x. Find x if it is one of the legs.
HELP ON THIS ONE????
Answer:
3x+4x+x=90
8x=90
x=90/2
x=45
find the sum or difference 7/8 + 9/16
Answer:
The answer is 23/16 but if you want it to be a mixed number, it is 1 7/16.
Step-by-step explanation:
The answer is 23/16, or in mixed fraction form: 1 7/16 (work shown out)
Jaylen's beta fish tank holds 4 1/2 gallons of water. It takes him 1 7/8 minutes to fill it. What is the flow rate of the water in gallons per minute? (label your answer gpm) pls dont delete or post links Ty worth 29 points and brainlyiest
I had this same question! ill tell you what i got.
Answer:
12/5
Step-by-step explanation:
His fish tank is 4 1/2 gallons of water. It takes him 1 7/8 minutes to fill it. So you need to find out how many gallons you can pour in 1 minute. You can eliminate A (5/12) because he is filling more than 1 gallon per minute. You can divide 4.5 (4 1/2) by 1.875 (1 7/8). You get 2.4. Convert it back to a fraction, and you get 2 4/10. Simplify the fraction 2/5. Now convert it to an improper fraction. 12/5.