Linear Equation In One Variable
solve x,3/2-7=5
Question:
Linear Equation In One Variable
solve x,
[tex]\frac{3x}{2} -7 = 5[/tex]
Answer:
[tex]x = 8[/tex]
Step-by-step explanation:
Given
[tex]\frac{3x}{2} -7 = 5[/tex]
Required
Solve for x
[tex]\frac{3x}{2} -7 = 5[/tex]
Multiply through by 2
[tex]2(\frac{3x}{2} -7) = 5 * 2[/tex]
[tex]2*\frac{3x}{2} -2 * 7 = 5 * 2[/tex]
[tex]3x - 14 = 10[/tex]
[tex]3x = 14 + 10[/tex]
[tex]3x = 24[/tex]
Solve for x
[tex]x = \frac{24}{3}[/tex]
[tex]x = 8[/tex]
Which substances would be a good conductor of electricity, and heat energy?
A. NaCl (s)
B. NH3(s)
C. Cu(s)
D. CH 3 CH 2 OH (I)
Answer:
D. CH 3 CH 2 OH (I)
Step-by-step explanation:
a trampoline gym charges $6 for 1/2 of and hour at this rate what does 1 hour cost
Answer:
12 dollars for 1 hour.
Step-by-step explanation:
Double both sides
Answer:
$12 per hour
Step-by-step explanation:
if $6 is for half an hour and there are two halves in one hour then 6*2 is $12 for an hour
9+w>7
solve the inequality and graph
Answer:
w is 2or more
Step-by-step explanation:
can somebody help me?
Answer:
I think it is 4/7 is red
Step-by-step explanation:
I need help with this plzzzz
I need help the question is on the picture
Answer:
Blank 1: 12.5 mph
Blank 2: .36 hours
Step-by-step explanation:
1. 3.75/.3 = 12.5
2. 4.5/12.5 = .36
Eric plans to watch 2 movies each month. Write an equation to represent the total number of movies n that he will watch in m months.
Answer:
2m = n
Step-by-step explanation:
2 multiplied by the amount of months (m) will give you the total number of movies he watched (n).
Don’t understand this and need help
Answer:
5ft
Step-by-step explanation:
This simple proportions. 6/10=3/x. Solve for x. Cross Multiply. 6x=30. 30/6=5. x=5. Answer 5.
Answer:
x = 5
Step-by-step explanation:
6/10 = 3/x
cross multiply to get 30 ( 3x10 )
then divide by 6
to get the end answer of 5
hipe this makes sense
what is the scale factor
Answer:
1 1/3.
Step-by-step explanation:
Multiply the smaller triangle's amounts by 1 1/3, you get the corresponding bigger triangle's amount for that side.
You want to start your own business so you borrow $50,000 from the bank to pursue your dreams. You borrow it for 5 years at 3.2% simple interest rate. What is the interest INTEREST owed?
Answer:
$8000
Step-by-step explanation:
[tex]I=PRT[/tex] (I = interest, p = principal, r = interest rate, t = time. This only applies to simple interest)
[tex]I=\$50000\times3.2\%\times5[/tex] (assuming that it is [tex]3.2\%[/tex] p.a)
[tex]I=\$8000[/tex]
∴ The interest owed is $8000.
Hope this helps :)
What is the correct calculation for the volume for the prism?
in the figure below, XY bisects WZ, m angle YXV is 12 degrees more than 5 times m angle VXZ. Using this information, determine which of the following algebraic equations can be used to model using the angle addition postulate. (select all that apply)
WILL MARK BRAINLIEST!!!
5x +12 =90
5x +12+ 90=180
90 + 5x +12 + x = 180
x + 90 = 5x +12
5x + 12 + x = 90
Answer:
5x +12 =90
5x +12+ 90=180
90 + 5x +12 + x = 180
x + 90 = 5x +12
5x + 12 + x = 90
Step-by-step explanation:
need help , asap
- 50 points .
Determine the intercepts of the line.
y = -9x – 14
x-intercept:
y-intercept:
Answer:
x: (-14/9, 0)
y: (0,-14)
Step-by-step explanation:
The number of deaths of children ages 1 to 14 in 1985 compared to 1991 for 10 states was gathered. (10 points) State Number of Child Deaths in 1985 Number of Child Deaths in 1991 1 33 51 2 53 33 3 58 51 4 73 44 5 88 89 6 130 142 7 212 195 8 213 215 9 275 269 10 313 312 Part A: Determine and interpret the LSRL. (3 points) Part B: Predict the number of child deaths in 1991 for State 11 if the number in 1985 was 65. Show your work. (3 points) Part C: Calculate and interpret the residual for State 11 if the observed number of deaths in 1991 was 42. Show your work. (4 points)
Solution :
From the output of regression equation given by
Number of death of children in 1991 = [tex]$-5.21226+1.003538 \times \text{ No. of child death in 1985}$[/tex]
Now, number of death of children in the year 1991 = [tex]$-5.21226+1.003538 \times \text{ No. of child death in 1985}$[/tex]
For x = no. of deaths of children in the year 1985 = 65
So substituting in the regression equation,
No. of deaths of children in year 1991 = [tex]$-5.21226+1.003538 \times 65$[/tex]
= [tex]$60.01771$[/tex]
≈ 60
Now residual = [tex]$\text{observed y - predicted y}$[/tex]
= [tex]$42-60$[/tex]
[tex]$-18$[/tex]
Part(a): Number of child deaths is,
[tex]1991=-5.21226+1.003538\times[/tex] number of child deaths in 1985
Part(b):
The number of child deaths in 1991 is 60.
Part(c): The observed is -18.
Part(a):
The given data can be solved by excel as,
From the output regression equation is,
Number of child deaths is,
[tex]1991=-5.21226+1.003538\times[/tex] number of child deaths in 1985
Part(b):
Number of child deaths is,
[tex]1991=-5.21226+1.003538\times[/tex] number of child deaths in 1985
For x=Number of child deaths in 1985=65
Number of child deaths in 1991 is,
[tex]-5.21226+1.003538\times65=60.01771\\=60[/tex]
Part(c):
Residual=observed y-predicted y
=42-60
=-18
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please help me:(
tysm
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The question says liner function of time. So it’s not just one point it’s a line. all the others if graphed would be a single point while C would make a line because it says every year it increases by 10000.
Solve for x in the triangle below.
Please help me guys please
Answer:
48
Step-by-step explanation:
Given is an isosceles triangle:
[tex] \angle Y \cong \angle Z (isosceles \: \triangle \: theorem) \\
m\angle Z = m\angle Y=x\\
\therefore 84\degree + x\degree +x\degree = 180\degree \\
\therefore 84\degree + 2x\degree = 180\degree \\
\therefore 2x\degree = 180\degree - 84\degree \\
\therefore 2x\degree = 96\degree \\\\
\therefore x\degree = \frac{96\degree}{2} \\\\
\therefore x\degree = 48\degree \\
\therefore x = 48 \\
[/tex]
During a chemical reaction the temperature in a beaker decreased every minute by the same number of degrees the temperature was 16°C at 11:08 AM by 11:52 AM the temperature had dropped to -17°C by how many degrees did it change each minute
Answer:
.75 degrees Celsius
Step-by-step explanation:
1152-1108=44 16+17=33 33divided by 44=0.75
Step 1: Choose the lowest common denominator
ILL MARK BRAINLIEST !!
((I MADE IT WORTH MORE POINTS :))))
The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives 13.1 the standard deviation is 1.5 years.
Use the empirical rule (68 - 95 - 99.7%) to estimate the probability of a meerkat living longer than 14.6
Answer:
0.84 or 16
Step-by-step explanation:
Tomika uses 6 inches of wire to make a necklace and 3 inches of wire to make a bracelet.
How many necklace and bracelet sets can she make if she uses 28
Enter your answer in the box.
inches of wire in all?
sets
whats the answer
Answer:
3
Step-by-step explanation:
3x(6+3)=27, shed have 1 inch left over
write an equation in slope-intercept of the line shown. (3,1), (1,-3)
Answer:
y=2x-5
Step-by-step explanation:
Answer and explanation is in the picture.
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
The equation of the line that passes through the point (3, 1) and (1, -3) is
y = 2x - 5.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of a line is y = mx + c
(3, 1) = (a, b)
(1, -3) = (c, d)
Slope:
= (d - b) / (c - a)
= (-3 - 1) / (1 - 3)
= -4 / -2
= 2
m = 2
Now,
We can choose any point and set it as (x, y) and substitute it in the equation.
(3, 1) = (x, y)
y = mx + c
1 = 2 x 3 + c
1 = 6 + c
c = 1 - 6
c = -5
Now,
m = 2
c = -5
The equation of the line that passes through the point (3, 1) and (1, -3) is
y = 2x - 5.
Learn more about equation of a line here:
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Seven less than 4 times the square of a number is 18. Find the two numbers.
The two numbers of seven less than 4 times the square of a number is 18 are -5/2 and 5/2
Let the unknown number be "x"
The square of an unknown number is expressed as x²4 times the square of a number is 4x²Seven less than 4 times the square of a number is 4x² - 7If the resulting expression is 18, this will be expressed as 4x² - 7 = 18
Solving the resulting expression
[tex]4x^2-7=18\\4x^2= 18+7\\4x^2=25\\x^2=\frac{25}{4}\\x=\pm \frac{5}{2}[/tex]
Hence the two numbers of seven less than 4 times the square of a number is 18 are -5/2 and 5/2
Learn more here: https://brainly.com/question/13805464
pls help me with this
btw the question
asks what v(-2) means in this situation
Answer:
20
Step-by-step explanation:
A triangle can exist with side lengths 15cm, 22cm, and 35cm.
A
False
B
True
Answer:
The answer is False maybe
Find the total amount you will pay given an original price of $24.99 and tax rate of 5%.
Enter the correct answer in the box.
Answer:The answer is 15.78
Step-by-step explanation:
Answer:
22.84 yep
Step-by-step explanation:
Your brother has $2000 saved for vacation. His airplane ticket is $637.
Write an equality to find how much he may spend for everything else. Let x represent the amount that your brother may spend on everything else.
Answer:1367
Step-by-step explanation:Lets assume the amount spent on everything else be "x".
We know total cost can not exceed $2000.
∴ Forming an inequation to find the amount spent on everything else.
⇒
⇒
Now, solving it to find x
Subtracting both side by 637
⇒
∴
Hence, he can spend maximum of $1367 for eveything else.
Vera took 10 tests over a time of 5 weeks. After 9 weeks this quarter, how many tests will Vera have taken?
Answer:
18 tests
Step-by-step explanation:
Create a proportion where x is the number of tests after 9 weeks:
[tex]\frac{10}{5}[/tex] = [tex]\frac{x}{9}[/tex]
Cross multiply and solve for x:
5x = 90
x = 18
So, after 9 weeks, Vera will have taken 18 tests
Answer:
18
Step-by-step explanation:
18
10 tests = x tests
/ 5 weeks = / 9 weeks
10* 9= x5
90/5= 18
Complete the square and factor: x^2+14x+
9514 1404 393
Answer:
49(x +7)²Step-by-step explanation:
The constant to add is the square of half the x-coefficient:
(14/2)² = 49
The constant in each binomial factor is half the x-coefficient:
(x +7)²