Answer:
Step-by-step explanation: plug in 3 for X and then solve
Give me 5 stars
4(1.75y − 3.5) + 1.25y
Hello there
This is a simple algebra problem, that we will be solving...
First let's use [tex]PEMDAS[/tex], and [tex]DISTRIBUTIVE\:PROPERTY[/tex]
______________
[tex]{\huge{\boxed{\mathbb{PEMDAS}}}[/tex]
Parenthesis Exponents Multiplication or Division Addition or Subtraction______________
[tex]{\huge{\boxed{\mathbb{DISTRIBUTIVE\:PROPERTY}}[/tex]
Definition- Distribute Property - The distributive property is one of the most frequently used properties in math. In general, this term refers to the distributive property of multiplication which states that the Definition: The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
______________
[tex]4(1.75y-3.5)+1.25y[/tex], first distribute...
[tex]7y-14+1.25y[/tex], combine like terms, and we get [tex]8.25y-14[/tex] as our answer
An auto insurance company classifies each motorist as "high risk" if the motorist has had at least one moving violation during the past calendar year and "low risk" if the motorist has had no violations during the past calendar year. According to the company's data, a high-risk motorist has a 50% chance of remaining in the high-risk category the next year and a 50% chance of moving to the low-risk category. A low-risk motorist has a 90% chance of moving to the high-risk category the next year and a 10% chance of remaining in the low-risk category. In the long term, what percentage of motorists fall in each category? (Round your answers to two decimal places.)
high-risk category %
low-risk category %
The percentage of motorists falling in each category, in the long term, are as follows:
High-risk category = 70%
Low-risk category = 30%
Data and Calculations:
Risk Profile Categories of Motorists
High Risk Low Risk
Probability of remaining
in the same category 50% 10%
Probability of moving to another
category 50% 90%
Probability a motorist falling in the high-risk category = (50% x 50%) + (50% x 90%)
= 25% + 45%
= 70%
Probability a motorist falling in the low-risk category = (50% x 50%) + (50% x 10%)
= 25% + 5%
= 30%
Thus, the probability of a motorist falling in the high-risk category is 70%, while the probability of a motorist falling in the low-risk category is 30%.
Learn more about probability here: https://brainly.com/question/24756209
A right triangle has legs of lengths 7.5 ft and 8.0 ft. Find the length of the hypotenuse.
Answer:
multiply
Step-by-step explanation:
Find the domain and the range of the given relation {(-1,-5),(-3,0),(9,1),(1,9)}
Answer:
1,3,4,6,8} { 1 , 3 , 4 , 6 , 8 }. Range:{2,4,5,7,9}
Step-by-step explanation:
The domain is the set of all the values of x x . The range is the set of all the values of y y .
QUESTION 21 PLEASE HELPPP
Answer:
one solution
Step-by-step explanation:
Since both are y-isolated equation, we can write as:
[tex]\displaystyle \large{6x-2=4x-2}[/tex]
Solve for x, first move 4x to subtract with 6x and -2 to add with -2
[tex]\displaystyle \large{6x-4x=-2+2}\\\displaystyle \large{2x=0}\\\displaystyle \large{x=0}[/tex]
Then substitute x = 0 in any of these equations which we receive y = -2.
And the solution is (0,-2) which only has one solution.
The formula for finding the perimeter of a rectangle is P = 2L + 2W. If a rectangle has a perimeter of 68 inches and the length is 14 inches longer than its width, find the width.
Enter a number answer only.
Answer:
Width = 10 inches
Step-by-step explanation:
Given the perimeter of a rectangle of 68 inches, and a length that is 14 inches longer than its width.
We can establish the following values to help us solve for the width of a rectangle:
Perimeter (P) = 68 inches
Length (L) = 14 + W inches
Width (W) = unknown
Solve for the Width (W)P = 2(L + W) ⇒ This is the same as P = 2L + 2W, except that 2 is factored out from the right-hand side.
Divide both sides by 2:
[tex]\displaystyle\mathsf{\frac{P}{2}\:=\:\frac{2(L\:+\:W)}{2}}[/tex]
[tex]\displaystyle\mathsf{\frac{P}{2}\:=L\:+\:W}[/tex]
Substitute the value of the Perimeter and the length (L) into the formula:
[tex]\displaystyle\mathsf{\frac{68}{2}\:=14\:+W\:+\:W}[/tex]
Combine like terms on the right-hand side, and simplify the left-hand side of the equation:
[tex]\displaystyle\mathsf{34\:=14\:+2W}[/tex]
Subtract 14 from both sides:
34 - 14 = 14 - 14 + 2W
20 = 2W
Divide both sides by 2 to solve for the width (W):
[tex]\displaystyle\mathsf{\frac{20}{2}\:=\:\frac{2W}{2}}[/tex]
W = 10 inches
Therefore, the width of the rectangle is 10 inches.
Double-check:Verify whether the derived value for the width is correct:
P = 2L + 2W
68 = 2(14 + 10) + 2(10)
68 = 2(34) + 20
68 = 48 + 20
68 = 68 (True statement).
Thus, the length of the rectangle is 34 inches, and the width is 10 inches.
A company tests two new products to make sure they last for more than a year. Product 1 had 950 out of 1,000 test items last for more than a year. Product 2 had 150 out of 200 last for more than a year. If you had to choose one of these two products to use for more than a year, which one is more likely to last? Explain your reasoning
30 POINTS GIVE GOOD ANSWER
Answer:
product one; it has a higher success rate
Step-by-step explanation:
to find out which has a higher rate of success we can find out their percentage of success
we can divide their success amounts by test amounts
950 / 1000 = 95/100 = 95%
150/200 = 75/100 = 75%
product 1 has a higher success rate
The product is more likely to last is mathematically given as
Product 1
What product is more likely to last?
Question Parameter(s):
Product 1 had 950 out of 1,000 test
Product 2 had 150 out of 200 test
Generally, the equation for the percentage success is mathematically given as
Product 1 950 / 1000 = 95/100 x 100 = 95%
Product 2 150/200 = 75/100 x 100 = 75%
In conclusion, the product is more likely to last is
Product 1
Read more about Trade
https://brainly.com/question/15115779
Find the perimeter of a rectangle whose width is 30cm and diagonal 50cm.
Answer:
P=140cm
Step-by-step explanation:
P=2(l+w)
d=w2+l2
Solving forP
P=2w+2d2﹣w2=2·30+2·502﹣302=140cm
Hope This Kind of Helps
Answer: 140cm
P=2(l+w)
P=2w+2d2﹣w2=2·30+2·502﹣302=140cm
How does the number 7 in 777.77 in the tenths place compare to 7 in the hundredths place
Answer:
0.7 is 7/10 Example out of ten cookies 7 are chocolate chip
0.07 is 7/100 Example out of 100 cookies 7 are chocolate chip
Hope This Helps!!!
Given the following acceleration function of an object moving along a line, find the position function with the given initial velocity and position.
a(t) = -24; v(0) = 17, s(0) = 0
s(t) =
Answer:
Position function is [tex]s(t)=-12t^2[/tex]
Step-by-step explanation:
Given [tex]a(t)=-24[/tex], since velocity is the antiderivative of acceleration, then [tex]v(t)=-24t[/tex].
Also, since position is the antiderivative of velocity, then [tex]s(t)=-12t^2[/tex].
a prisms base has a perimeter of 12cm and a height of 2 cm. the area of the base was 5cm. what is the surface area of the prism.
==============================================================
Explanation:
For any prism, there are two congruent bases opposite one another. In other words, the bases are identical polygons with the same area. Each base is 5 square cm. So far, that accounts for 5+5 = 10 square cm of surface area. Let A = 10 as we'll use it later.
The perimeter is 12 cm and the height is 2 cm. It turns out that the lateral surface area is found by multiplying the two items. This is because the perimeter is made up of the lengths of the sides of the base, which when multiplied by the height, will give the area of each rectangular side panel.
So the lateral surface area is 12*2 = 24 sq cm. Let B = 24.
Overall, the total surface area is A+B = 10+24 = 34 square cm
It was in -5 degrees Celsius Copenhagen and -10 degrees Celsius in Oslo. Which city was
colder?
Answer:
Oslo
Step-by-step explanation:
The farther the number from zero at the right hand side, the colder.
So its Oslo
I hope this helps!
pls help quick
plssss
plssssss
Help me out please???
Answer:
5
Step-by-step explanation:
The interquartile range is Q3-Q1.
in this problem, Q3=7 and Q1=2
The sum of three consecutive odd numbers is 987. Find the numbers.
Answer:
Step-by-step explanation:
Let first odd number = a, second odd number = a +2, third odd number = a + 4
a + a + 2 + a + 4 = 987
3a + 6 = 987
3a = 981
a = 327
First odd number = a = 327
Second odd number = a + 2 = 329
Third odd number = a + 4 = 331
A person of 600 newtons
gets on an elevator which
lifts him 6 meters in
10 seconds. How much
power was used?
Answer:
360J/s
Step-by-step explanation:
power=work done/ time
power=600×6/10
=3600/10
=360
Based on the above chart, which service profession would you choose to enter into if you wanted to ensure that you would have the larg
increase in wages and job availability?
Chart 4. Numeric change in wage and salary employment, service-
providing industry divisions, 1996-2006
A Information
B Financial activities
C Education and health services
D Professional and Business services
Answer:
Education and health services
Step-by-step explanation:
It has had the most increase over the years, so it will most likely keep increasing and let you get more wages and job opportunities.
I need help solving this problem
Solve for X
Answer:
x = -7
Step-by-step explanation:
The 2 horizontal lines are parallel as given ion the problem.
The x + 97 angle is congruent to the right angle.
x + 97 = 90
x = -7
Help help math math math
Answer:
y = 3x + 4
x=? (m) , and 'm' is how steep the slope is , which is at 3 , located on the X-axis. The blank is 'b' which is where the point intercepts the Y-axis , which is at 4 , located on the Y-axis.
(i think this is right im not sure tho)
Answer:
3x+1
Step-by-step explanation:
3 is the slope. 3 times x is 3 because x is one. 3+1=4 4 is y
pls help it is math for 7th grade.
Answer:
36.8 *36 8/10 of 36 4/5
Step-by-step explanation:
2/5x(-1/2)= -2/10
37+(-2/10)=36.8
Ron wants to make money painting portraits of people at the local mall. The mall
charges Ron $22.00 a day for Ron to set up his materials to sell his portraits. He
charges $15.50 a portrait, but it costs him $3.25 in materials to make that portrait.
If x represents the number of portraits that Ron sells at the mall, which of the
following expressions would represent Ron's profit (how much money Ron will walk
away with at the end of the day)? (There is more than one answer)
12. 25x – 22.00
15.50x – 22.00
0-22.00 + 15.50x – 3.25x
15.50x
3. 25x – 22.00
22.00x – 3.25x
15.50
Answer:
A and CStep-by-step explanation:
With the amount x of portraits the daily balance is:
- $22.00+ $15.50x- $3.25xThe total is:
15.50x - 3.25x - 22.00 ⇒ 12.25x - 22.00Correct choices are A and C
With the amount x of portraits the daily balance is:
- $22.00
+ $15.50x
- $3.25x
The total is:15.50x - 3.25x - 22.00 ⇒ 12.25x - 22.00
Correct choices are A and CTyler is saving to buy a new videogame system. For every $15 he earns mowing lawns, he saves $9. On Saturday, Tyler earned $105 mowing lawns. How much money did he save?
Answer:
$63
Step-by-step explanation:
First, we find the percentage that he saves:
9 is 3/5 of 15 which is 60%, 9 is 60% of 15 which means he save 60% of the money that he earns so,
60% of 105 = 63
This means he saved $65 from the money he earned.
Hope this helps!
(4 − 3)(−3 + 6) − (2 − )
simplify
show all work
Answer:
(4 − 3)(−3 + 6) − (2 )
1(3)-2
3-2
1
Hope This Helps!!!
Write the sphere in standard form. 4x2 + 4y2 + 4z2 − 24x + 16y = 1
Answer:
(x -3)^2 +(y +2)^2 +z^2 = 13.25
Step-by-step explanation:
Divide by 4 and complete the squares.
x^2 -6x +y^2 +4y +z^2 = 1/4
(x^2 -6x +9) +(y^2 +4y +4) +z^2 = 13 1/4
(x -3)^2 +(y +2)^2 +z^2 = 13.25
Ten minus three tenths of n
Answer:
[tex]10 - \frac{3}{10} n[/tex]
Step-by-step explanation:
hope that is right and hope it helps
Given that
P
=
x
+
y
.
Find
P
when:
x
=
3
and
y
=
−
11
Answer:
P=14
Step-by-step explanation:
Since P depends on two variables x and y as the sum of the two, then;
P = 3+ 11
P = 14
Can someone help with this math problem?
Answer:
Hope it will help you a lot.
PLS HELP PLEASSSSS IM SERIOUSLY CRYING RN
[tex]x = 23[/tex]
Step-by-step explanation:
First, we need to write the equations in their standard form, i.e., all the variables and their coefficients are to be placed on the left hand side and the plain numbers on the right hand side. The first equation is already in its standard form:
[tex]2x + 5y = 35\;\;\;\;\;(1)[/tex]
but we need to rewrite the 2nd one. So the standard form of the 2nd equation can be written as
[tex]x + 15y = -10\;\;\;\;\;(2)[/tex]
Now that the equations are in their standard forms, the next step that we need to do is to eliminate one of the variables, namely the y. To do that, we need to multiply either one of the equations so that when we add them together, the y-variable gets eliminated. Note if we multiply Eqn(1) by -3, we'll get -15y on one equation and a +15y on the other equation so that when they are added together, they cancel out. So if we do that, we get
[tex]-6x - 15y = -105\;\;\;\;\;(3)[/tex]
Adding Eqn(3) to Eqn(2), we get
[tex]-5x = -115[/tex]
or
[tex]x = \dfrac{-115}{-5} = 23[/tex]
What is the value of (-5)2?
Answer:
-10
Step-by-step explanation:
when a number Inside of parentheses is close to another number (like being near a fireplace trying to say warm) it means to multiply :3 !
Example: (3)2=6 6(6)=36
in our case it is (-5)2 So was ist -5 x 2? -10
hope this helped!
for some extra practice to check your knowledge, what is (-3+-2)2 ?
PLS HELP FAST!!
During a snowstorm, Lucy tracked the amount of snow on the ground. When the storm began, there were 4 inches of snow on the ground. For the first 2 hours of the storm, snow fell at a constant rate of 3 inches per hour. The storm then stopped for 5 hours and then started again at a constant rate of 1 inch per hour for the next 7 hours. Make a graph showing the inches of snow on the ground over time using the data that Lucy collected.