Answer:
x=−7
Step-by-step explanation:
Step 1: Add 5 to both sides.
−3x−5+5=16+5
−3x=21
Step 2: Divide both sides by -3.
−3x/−3=21/−3
Answer:
x = -7
Step-by-step explanation:
Hello.
I can help.
To solve algebraic equations all you need to do is get rid of everything on the side of the x except the x.
Lets look at your problem.
-3x - 5 = 16
An important thing to note is we are going to get rid of things on the left side of the = by doing the opposite of what they're doing.
If it is addition we do subtraction
If it is division we do multiplication
and so on.
ALSO
Whatever we do on the left side of the = we must do the same thing to the number on the right.
Now, let us start trying to solve this.
You always want to start with the number that is alone without the variable / letter.
So :
-3x - 5 = 16
Since it is -5 lets add 5 to make it 0 and get rid of it.
-3x - 5 = 16
+5 +5
(Remember to do it to the other side of the = too)
Now we have :
-3x = 21
Now we want to get rid of the 3 attached to the x. And since these two are multiplying we need to divide the -3 by itself to make it 1. Since one number divided by itself is 1.
So like this :
-3x = 21
/-3 /-3
NOTE : When you are dividing or multiplying negative numbers there is an important key to be aware of. Here is a short key to go off of :
- x - = +
- x + = -
So a negative times a negative will be a positive.
While a positive times a negative, the negative will over ride the positive and the answer will be negative.
Going back to the equation, here is what we do :
-3x / -3 = +x (Not negative)
And :
21 / -3 = -7 (Is negative)
So now our equation is :
x = -7
And this is our final answer.
I hope this helped.
If you have any questions or concerns do comment or message me. :)
What is the y-intercept of the function below?
y= 2x + 7????
Answer:
(0,7)
Step-by-step explanation:
This equation is already in slope-intercept form, (y=mx+b), where m is the slope, and b is the y-intercept.
From the equation, we see that (0,7) is the y-intercept.
Let me know if this helps!
To buy a laptop computer, Jane borrowed $5,000 for 3 years at an annual rate of 6%.
How much interest will she pay if she pays the entire loan off at the end of the third
year?
Answer:
5955.08
Step-by-step explanation:
First year: 5000×(6÷100)=300
Second year : 5300×(6÷100)=318
Third year : 5618×(6/100)=337.08
And = 5955.08
Create the equation of the line that goes
through the point and slope. (you can use
slope-intercept form or point-slope form) (4 pts)
Through = (1, 19) slope = 0
Equation:
SOMEONE PLEASE HELP!!
Answer:
The answer is
[tex]y = 19[/tex]
Step-by-step explanation:
Since
[tex]y = mx + c \\ m = 0 \\ c = 19 \\ y = 0 \times x + 19 \\ y = 19[/tex]
Use addition to solve the system of linear equations. Include all of your work in your final answer.
Answer: No solutions
Step-by-step explanation:
You can either use substitution or elimination
You can plug in y to the first equation to get x-(x-4)=6 to get 4=6 which is not possible so no solutions
A piece of wood is cut into three different sized pieces. The ratio of the three pieces is 4:5:6. If the actual length of the wood is 45 inches, then what is the length of the short side?
Answer:
12
Step-by-step explanation:
So 4:5:6 = 45
4+5+6 = 15
45/15 = 3
Since 4 is the smallest, 4*3 = 12.
Hope this works!
Answer:
Step-by-step explanation:
This is a question worth knowing how to do. It is prime candidate for a test question.
Equation
Let the unit be x
therefore
4x + 5x + 6x = 45
Solution
15x = 45
x = 45/15
x = 3
The shortest piece is 4*3 = 12
The middle piece = 5*3 = 15
The longest piece = 6*3 = 18
Total 45
0.5(24x - 10) what is the expression
Answer:
12x-5
Step-by-step explanation:
Help this is kida hard for me
Option A is ur answer
as
5^2 + 12^2 = 25 + 144
= 13^2
Answer:
5, 12, 13
Step-by-step explanation:
because
5²+12²=169
root 169= 13
basically it's this because the numbers are still whole
What is the circumference of this circle?
Answer:
37.68
Step-by-step explanation:
[tex]c = 2 \times 6 \times 3.14 = 37.68[/tex]
A business executive received a $6,000 bonus check from her company at the end of the year. This was 5% of her annual salary. How much was her annual salary before receiving the bonus?
Answer:
120000
Step-by-step explanation:
5 x 20 = 100%
6000 x 20 = 120,000
What is the answer to this?
Answer: its a
Step-by-step explanation: OK so it says that it wants the reflecton
of point a so its 3 left the on the other side of it it would be 3 right then 4 up measureingthis it gives you -3,4 so the awnser is a because as an algerbraicexpression it would be -x,y.
8th grade math, please help.
Answer:
x=25
Step-by-step explanation:
It is because it alternates with the angel m<25⁰
HOPE IT HELPS
Answer:
X=, 25°
Because alternative interior angles are equal
What is the measure of angle B?
A=50degrees
C=28degrees
Option 1: 78degrees
Option 2: 92degrees
Option 3: 102degrees
Option 4: 282degrees
Find the volume of the solid. Please help!!
Answer:
132 cm³
Step-by-step explanation:
Two different ways to calculate:
7×6×6= 252 "would-be" total volume.
5×4×6=120 "missing chunk" subtract that.
252-120= 132 cm³ remaining total
OR
7×2×6=84 vertical part
4×2×6=48. horizontal part. add them
84+48= 132 cm³ Total volume
Find the value of x
in the figure below
Answer:
x = 29
Step-by-step explanation:
I think this because they give you 78 degrees. The angle across from it (3x - 9) must equal 78 degrees as well. So solve as (3x - 9) = 78. 78 + 9 is 87. 87 divided by 3 is 29.
Hope it helps and is correct!
Prove that with any natural number n (5n-4)^2-(2n+11)^2 divides by 21
Answer:
let natural no be 1
(5.1-4)^2-(2.1+11)^2/21
25-16-4-121/21
-5.52
Step-by-step explanation:
plz maje me brainliest
5
A school rewards students for good work by giving them merit points.
James has x merit points.
Sarah has three times as many merit points than James.
Robert has 68 fewer merit points than James.
ETTER
GRADE
Each merit point is worth 3 pence.
All three of the students have a total of £15.81
EFFECT
Work out how many merit points each student has.
Irk
James:
Your
Marks
Sarah:
Robert
Answer:
James = 119 points
Sarah = 357 points
Roberts = 51 points
Step-by-step explanation:
Given that :
James = x points
Sarah = 3x points
Roberts = x - 68 points
Each point = 3 pence
All students have a total of £15.81
1 pound = 100 pence
£15.81 pound = 1581 pence
3x + 3(3x) + 3(x - 68) = 1581
3x + 9x + 3x - 204 = 1581
15x - 204 = 1581
15x = 1581 + 204
15x = 1785
x = 1785 / 15
x = 119
Hence,
James = 119 points
Sarah = 119 * 3 = 357 points
Roberts = 119 - 68 = 51 points
Find the perimeter of the triangle below.
pls help!!!
Answer:
180
--
40*9 / 2
Hope this helps!!!
Simone is buying pies for a party. One cherry pie costs $7, and one apple pie costs $5.
If Simone needs to buy at least 18 pies and has no more than $110 to spend, what is the maximum number of cherry pies she can buy?
Answer:
the answer is 15
Step-by-step explanation:
because 110÷7$
The maximum number of 15 cherry pies she can buy.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Simone is buying pies for a party.
One cherry pie costs $7,
and one apple pie costs $5.
If Simone needs to buy at least 18 pies and has no more than $110 to spend,
the maximum number of cherry pies,
= 110/7
= 15.71.
If 15 cherry pies, then 3 apple pies.
The total amount = 15 x 7 + 3 x 5
= 110
Therefore, 15 is the maximum number.
To learn more about the division;
https://brainly.com/question/13263114
#SPJ6
If a rocket has an acceleration of 10 m/s2 and a force of 5 N what is its mass? *
Answer:
1/2 kg
Step-by-step explanation:
Formula:
[tex]F =ma[/tex]
Force = mass x acceleration
F = 5 | a = 10 |m = ?
5 = 10m
m = 0.5 or 1/2
To find the area of a composite figure, you must find the area of each polygon
and then add their areas together to find the total area of the composite figure.
What is the area of the rectangle in this composite figure?
A. 23cm
B. 112cm
C. 23cm^2
D. 112cm^2
Answer:
it is b
Step-by-step explanation:
Write the equation of this line in y= mx + b form
Answer:
y=4
Step-by-step explanation:
Because it is a horizontal line, there is no slope the only thing that is there is the y intercept
2x≥12
I can't figure this out
Answer:
[tex]x \geq 6[/tex]
Step-by-step explanation:
You can start by dividing both sides by 2, getting [tex]x \geq 6[/tex].
Answer:
:(
Step-by-step explanation:
Tina plans to make wooden frames to put her two triangular art pieces in.
How much wood would she need fortriangle DFG?
Enter your answer in the box.
in.
Two triangles A B C and D F G. A B is 5 inches. B C is 6 inches. A C is 7 inches. D F is 15 inches. F G is 18 inches. Angle B is congruent to angle F.
Answer:
54in
Step-by-step explanation:
i took the test
Ir (2p-1,p) is a solution of the equation 9y + 12 = 10x, then find the value of p
Answer:
p = 2
Step-by-step explanation:
Since, (2p-1,p) is a solution of the equation 9y + 12 = 10x.
Therefore, plug x = 2p - 1 & y = p in the above equation.
9p + 12 = 10(2p - 1)
9p + 12 = 20p - 10
12 + 10 = 20p - 9p
22 = 11p
p = 22/11
p = 2
Mondays at pizza pan you can cheese to toppings at no extra cost for your pizza to tacos are mushroom sausage peppers and extra cheese how many different pizza's could you order
Answer:
We can order 35 different types of pizza based on the toppings.
Step-by-step explanation:
There are 3 different types of pizza crust which a person can choose for his pizza. On Monday's company has introduced new campaign in which a person can choose extra toppings of his choice at no additional cost. The topping are of 7 different types. The total number of different pizza which a person can have is 7C3. Solving through computation technique we get 35.
1.1
QUESTION 1
Simplify the following without using a calculator
1.1.1 -4 * (8-(-3)) +7
1.1.2 + 55-20-4
Answer:
−36.89
31.22
Step-by-step explanation:
The length of a rectangle is 4 4 times the width. The area is 64 64 square centimeters. Find the length and width of the rectangle.
Answer:
Width of a rectangle = 4 cm
Length of a rectangle = 16 cm
Step-by-step explanation:
Let width of a rectangle be [tex]x[/tex] cm.
The length of a rectangle is 4 times the width.
Length of a rectangle [tex]=4x[/tex] cm
Area of rectangle [tex]=64[/tex] square centimeters.
Also,
Area of rectangle = length × breadth
[tex]64=4x(x)\\64=4x^2\\16=x^2[/tex]
± [tex]x=4[/tex]
Being a dimension, [tex]x[/tex] can not be negative.
So,
[tex]x=4[/tex] cm
Width of a rectangle = 4 cm
Length of a rectangle = 4(4) =16 cm
Robin is multiplying 80 times 42. How many partial products will Robin have to add?
Step-by-step explanation:
42×80 =3360
I hope this answer help you.
Answer:
80 times 42.=80×42=3360
ur question is incomplete
Eli is following this recipe to bake bread rolls.
He uses 700 mL of water.
How much of the other ingredients does he use?
Recipe: Makes 12 bread rolls
420 g flour
21 g salt
9 g yeast
45 mL oil
300 mL water
HELP
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
4, 20, 100
Answer:
Step-by-step explanation:
a₂ - a₁ = 20 - 4 = 16
a₃ - a₂ = 100 - 16 = 84
Since a₂ - a₁ ≠ a₃ - a₂, the sequence is not arithmetic.
a₂/a₁ = 20/4 = 5
a₃/a₂ = 100/20 = 5
Since a₂/a₁ = a₃/a₂ = 5, the sequence is geometric with a common ratio of 5.