Answer:
1. x=1
2. x=7
Step-by-step explanation:
1. -8(1+4x)+7x=-25-8x
-8-32x+7x=-25-8x
8x-32x+7x=-25+8
-17x=-25+8
-17x=-17
[tex]\frac{-17x}{-17} =\frac{-17}{-17} \\x=1[/tex]
2. -5+6(x-7)=-40+5x
-5+6x-42=-40+5x
-47+6x=-40+5x
x=47-40
x=7
A monomial of the 2nd degree with a leading coefficient of 3
Answer: If the monomial has only one variable.
3x² is a monomial of the 2nd degree with a leading coefficient of 3.
Step-by-step explanation: Think of the your like terms such as the coefficents A polynomial which has only one term is called monomial.
The degree of a monomial is defined as the sum of all the exponents of the variables.
A leading coefficient is the number multiply to the variable.
What is (X + 4)(X + 3) please answer quick
Answer:
x^2+ 7x+12
Step-by-step explanation:
use FOIL property
(x * x) (x * 3) (4 * x) (4 * 3)
x^2 + 3x + 4x + 12
= x^2 + 7x + 12
Segment AB has endpoints on the coordinate grid where A is (- 18, 5) and B is (- 4, 5) Point Z is located exactly 1/8 of the distance from A to B. Determine the value of the x-coordinate of point
Given:
Endpoints of segment AB are A(- 18, 5) and B(- 4, 5).
Point Z is located exactly 1/8 of the distance from A to B.
To find:
The value of the x-coordinate of point Z.
Solution:
Point Z is located exactly 1/8 of the distance from A to B.
AZ:AB=1:8
AZ:ZB = AZ:(AB-AZ)= 1:(8-1) = 1:7
It means point Z divided segment AB in 1:7.
Using section formula, the x coordinate of point Z is
[tex]x-coordinate=\dfrac{mx_2+nx_1}{m+n}[/tex]
[tex]x-coordinate=\dfrac{1(-4)+7(-18)}{1+7}[/tex]
[tex]x-coordinate=\dfrac{-4-126}{8}[/tex]
[tex]x-coordinate=\dfrac{-130}{8}[/tex]
[tex]x-coordinate=-16.25[/tex]
Therefore, the required x-coordinate of point Z is -16.25.
A college professor 115 papers to grade. The professor determined that the equation p = -10t + 115 can be used to predict the number of papers left to grade p, after t hours. Can the professor finish grading all of the papers in 7.5 hours?
Answer:
No
Step-by-step explanation:
Plug in 7.5 as t into the equation, and solve:
p = -10t + 115
p = -10(7.5) + 115
p = -75 + 115
p = 40
This means in 7.5 hours, he will still have 40 papers left to grade.
So, he will not be able to finish grading in 7.5 hours.
Please help. There’s more questions too.
Answer:
Step-by-step explanation:
she worked 50.25 hours for 18.8 dollars an hour
the first 40 hours she paid regularly: 40*18.8= 752 dollars
extra time : 50.25-40=10.25
the extra time pay: 10.25 *18.80(1+0.5) = 289.05
Gross pay = 752+289.05=1041.05
Please answer quickly!!
8x-3=5(2x+1)
Answer:
Simplifying
8x + -3 = 5(2x + 1)
Reorder the terms:
-3 + 8x = 5(2x + 1)
Reorder the terms:
-3 + 8x = 5(1 + 2x)
-3 + 8x = (1 * 5 + 2x * 5)
-3 + 8x = (5 + 10x)
Solving
-3 + 8x = 5 + 10x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10x' to each side of the equation.
-3 + 8x + -10x = 5 + 10x + -10x
Combine like terms: 8x + -10x = -2x
-3 + -2x = 5 + 10x + -10x
Combine like terms: 10x + -10x = 0
-3 + -2x = 5 + 0
-3 + -2x = 5
Add '3' to each side of the equation.
-3 + 3 + -2x = 5 + 3
Combine like terms: -3 + 3 = 0
0 + -2x = 5 + 3
-2x = 5 + 3
Combine like terms: 5 + 3 = 8
-2x = 8
Divide each side by '-2'.
x = -4
Simplifying
x = -4
Step-by-step explanation:
Answer:
is it 5?
Step-by-step explanation:
frank purchases n notebooks. they were 5 dollars each. write an equation to represent the total cost c that frank paid
Answer:
5+n=?
Step-by-step explanation:
hope this helps (:
Can someone help me please ?
Will do a brainly! help me with this, please.
Answer:
C
Step-by-step explanation:
So, we want to find the equation of the line graphed.
To do so, let's first find the slope. Let's pick two points from the graph. I'm going to use (-2,2) and (0,-1).
The formula for slope is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let's let (-2, 2) be (x₁, y₁) and let's let (0,-1) be (x₂, y₂). So, substitute:
[tex]m=\frac{-1-2}{0-(-2)}[/tex]
Subtract:
[tex]m=\frac{-3}{2}[/tex]
So, our slope is -3/2.
Now, we can use the point-slope form, which is:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is any point on the graph.
Since our answer choices are using the values 2 and 4, this means we can use the point (2,-4).
So, (2,-4) is our (x₁, y₁).
Also, our m is -3/2. So, substitute these into the point-slope form:
[tex]y-(-4)=-\frac{3}{2}(x-2)[/tex]
Simplify:
[tex]y+4=-\frac{3}{2}(x-2)[/tex]
Therefore, our answer is C.
And we're done!
The value of number plus 17 is less than 12
Answer:
x∠-5
Step-by-step explanation:
x+17∠12
x∠12-17
x∠-5
Answer:
x<-5
Step-by-step explanation:
The value of a number = x
is less than = <
x+17 < 12
x < -5
-----------------------------------------------------------------------------------------------------
I hope this is what you needed. If not, I am truly sorry.
Which one is it plss help
Answer:
C. 128⁰
Step-by-step explanation:
12+40 = 32
32+128=180
The length of a side of a square with an area of 57 cm² is between which two values in the table?
Answer:
Step-by-step explanation:
The square area is
A = x²
A side of square is
X
Then, we have:
x² = 57
x = [tex]\sqrt[2]{57}[/tex]
x = 7,54 aproximately - just the positive root is aceppted.
I don't know the values of that table, because you didn't gave. But if they are all natural numbers, it would be betwen 7 and 8.
help me out i’ll give you brainliest
Answer:
6 and 7
Step-by-step explanation:
Answer:
6&7
Step-by-step explanation:
6*6=36
7*7=49
If'a' is increased by 25% and 'b' is decreased by 25% then the resulting number will be equal. What is the ratio
of a to b?
Answer:
a:b = 3:5.
Step-by-step explanation:
a + 0.25a = b - 0.25b
1.25a = 0.75b Divide both sides by b:
1.25a / b = 0.75 Now divide both sides by 1.25
a/b = 0.75/1.25
a/b= 3/5.
I need help please.
Evaluate 2x-4 if x=5
The value of the expression at x = 5 will be 6.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 2x - 4. The solution for the expression is,
E = 2x - 4
E = ( 2x 5 - 4 )
E = 10 - 4
E = 6
Hence, the solution for the expression is 6.
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What is 9+10???????????
Answer:
19 lol
Step-by-step explanation:
Answer:
Oof this is a hard one because it is between 19 and 21
Step-by-step explanation: So frustrating but i think it is 19 because i plugged in the calculator and did geometry and I got 19 but i am not sure.
how do you write this in number form one hundred ninety-eight thousand, one hundred thirty-six
Answer:
198,136
Hope this helps
Solve for X
8x - 2 = 6 + 10(x - 5)
Answer: x = 21
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
8x−2=6+10(x−5)
8x+−2=6+(10)(x)+(10)(−5)(Distribute)
8x+−2=6+10x+−50
8x−2=(10x)+(6+−50)(Combine Like Terms)
8x−2=10x+−44
8x−2=10x−44
Step 2: Subtract 10x from both sides.
8x−2−10x=10x−44−10x
−2x−2=−44
Step 3: Add 2 to both sides.
−2x−2+2=−44+2
−2x=−42
Step 4: Divide both sides by -2.
−2x / -2 = -42 / -2
x=21
Answer:
x = 21
Step-by-step explanation:
8x - 2 = 6 + 10(x - 5)
Step 1: Distribute the right side of the equation ("6 + 10(x - 5)") so it'll be easier to find x.
8x - 2 = 6 + 10x - 50
8x - 2 = 10x - 44
Step 2: Subtract 8x from both sides
8x - 2 = 10x - 44
-8x -8x
-2 = 2x - 44
Step 3: Add 44 to both sides to get 2x alone.
-2 = 2x - 44
+44 +44
42 = 2x
Step 4: Divide both sides by 2 to get x alone
42 = 2x
2 2
x = 21
D
A poster has a thickness of 1.2 x 10-2 inches.
If two posters are glued together, find the
combined thickness of the posters.
Answer:
20.4 × 2.4 inches?
Step-by-step explanation:
I'm assuming that both posters have the same thickness and so just multiply the thickness of one by 2.
2/7 decimal from rounded to the nearest thousandth place
Answer:
0.286
Step-by-step explanation:
2/7 as a decimal is 0.28571429
0.28571429 rounded to thousandths place = 0.286
hope this helps!!!
The decimal form of the number will be 0.286
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the fractional number is 2/7. The decimal form of the number will be,
2/7 as a decimal is 0.28571429 by dividing the number 2 by 7.
Rounded to the thousandths place,
0.28571429 = 0.286
Hence, the decimal form of the number will be 0.286
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How many prime factors does 28 have?
Louisa states that the solution to the equation One-fourth x minus 3 = StartFraction 3 Over 8 EndFraction x + 4 is x = 56. She verifies her solution using the steps below. Equation: One-fourth x minus 3 = StartFraction 3 Over 8 EndFraction x + 4 Step 1: One-fourth (56) minus 3 = StartFraction 3 Over 8 EndFraction (56) + 4 Step 2: 14 minus 3 = 21 + 4 Step 3: 11 = 25 Which statement most accurately describes Louisa's error? Louisa made an error when determining the original solution of x = 56. Louisa made an error when substituting the solution in for x. Louisa made an error when multiplying 56 by One-fourth and by StartFraction 3 Over 8 EndFraction. Louisa made an error when adding or subtracting.
Given:
The equation is
[tex]\dfrac{1}{4}x-3=\dfrac{3}{8}x+4[/tex]
To find:
The Louisa's mistake.
Solution:
We have,
[tex]\dfrac{1}{4}x-3=\dfrac{3}{8}x+4[/tex]
[tex]\dfrac{x-12}{4}=\dfrac{3x+32}{8}[/tex]
Multiply both sides by 8.
[tex]2(x-12)=3x+32[/tex]
[tex]2x-24=3x+32[/tex]
[tex]-24-32=3x-2x[/tex]
[tex]-56=x[/tex]
[tex]x=-56[/tex]
Louisa made an error when determining the original solution of x = 56.
Therefore, the correct option is A.
Answer:
Louisa made an error when determining the original solution of x = 56.
Step-by-step explanation:
The screenshot if proof
I need help fast please
Step-by-step explanation:
(-)(-) = +
[tex] - \frac{3}{5} + \frac{5}{9} [/tex]
[tex] - \frac{27}{45} + \frac{25}{45} [/tex]
[tex] - \frac{2}{45} [/tex]
4(2x + 1) = 6x + 10
Help
Answer:
x=3
Step-by-step explanation:
Hello! :)
4 (2x + 1) = 6x + 10 Simplify both sides of the equation
(4) (2x) + (4) (1) = 6x + 10 Distribute
8x + 4 = 6x + 10
8x + 4 − 6x = 6x + 10 − 6x subtract 6x from both sides
2x + 4 = 10
2x + 4 - 4 = 10 - 4 Subtract 4 from both sides
2x = 6
2x/2 = 6/2 Divide both sides by 2
6/2 = 3 Simplify
x = 3 (ANSWER)
Hope this helped you!
THEDIPER
Help Simplify.
8^2 + 6 (14 – 12)
Answer:
The expression is equal to 76.
8^2 becomes 64, and 6(14 - 12) becomes 6(2), which is 12. Add 64 and 12 and you get a sum of 76.
Answer:
I believe the answer is 76
Step-by-step explanation:
Equation: 8^2 + 6 (14 – 12)
First evaluate the power: 8^2= 64
Second solve in the parentheses: (14-12) = (2)
Third solve the multiplication: 6 * 2 = 12
Finally add: 64 + 12 = 76
Answer: 76
Find the measure of ZSTV.
S
3b
15b + 18
U
T
Answer:
<stv=153
Step-by-step explanation:
stu+stv=180 (being a straight angle)
3b +15b+18=180
18b=180-18
b=162/18
b=9
now
<stv=15b+18
=15 × 9 +18
=135+18
=153
<stv=153°
Only need help on number 8. Thanks in advance. Must show work. If you do I will give you brainliest. :)
Answer:
Necklace cost $144 and bracelet cost $48
Step-by-step explanation:
call x is the price of necklace, y is the price of bracelet
because necklace cost 3 time as much as the bracelet
=> 3x = y
A necklace and a bracelet cost $192
=> x + y = 192
=>set of equations
3x = y and x+y = 192
x= 3y and 3y + y = 192
=> y = 48 and x = 3 . 48 = 144
w + 1 / 2 = 1 / 20
+ 2
Answer:
[tex]\frac{31}{20}[/tex]
Step-by-step explanation:
hey there,
< [tex]w +\frac{1}{2} = \frac{1}{20} + 2[/tex]
Move the variable "w" to one side and all regular numbers to the other.
[tex]w = \frac{1}{20} + 2 - \frac{1}{2}[/tex]
Continue simplifying. Put everything under the least common denominator (LCM) which would be "20" here.
[tex]w = \frac{1+40-10}{20} = \frac{31}{20}[/tex]
w = [tex]\frac{31}{20}[/tex] is your final answer. >
Hope this helped! Feel free to ask anything else.
what is the answer to 2x+5y=16
Answer:
Option C -
Given : AB and BC form a right angle at point B. If A = (-3, -1) and B = (4, 4).
To find : What is the equation of BC ?
Solution :
AB and BC form a right angle at point B.
A=(-3,-1) and B=(4,4)
The slope of line AB is
Step-by-step explanation:
Hopfully this helped, if not HMU and I will get you a better answer
-Have a great day! :)
Answer:
x=[tex]\frac{8-5y}{2}[/tex]
y=[tex]\frac{16}{5}-[/tex] [tex]\frac{2x}{5}[/tex]
Step-by-step explanation:
for x
2x+5y=16
2x=-5y+16
then divide everything by 2 to get your answer
for y, you do basically the same thing for what you did for x