The next model sports car will cost 5.2% more than the current model. The current model costs $55,000. How much will the price increase in dollars? What will be the price of the next model?
Answer: The price increase = $2,860.
The price of the next model will be $57,860.
Step-by-step explanation:
Given: The next model sports car will cost 5.2% more than the current model.
Current model costs $55,000.
Price increase = 5.2% of (Cost of current model)
= (0.052) x ($55000)
= $ 2860
So, the price increase = $2860.
Price of the next model = Cost of current model + price increase
= $(55000+2860)
= $ 57,860
Hence, the price of the next model will be $57,860.
What are the solutions of |3x + 2| > 9?
Absolute value means the distance the number zero.
(3x+2) is (3x+2) from 0.
So right now, 3x+2>9, you have to get rid of the 2 on the left side (because you don't want the variable and the constant on the same side) .
Subtract 2 from the left side and 2 from the right.
Now it is 3x > 9-2
9-2=7
3x > 7
♡ Hope this helps! ♡
❀ 0ranges ❀
6n+5n simplify expressions
Answer:
The answer is 11n.
Step-by-step explanation:
This is because 6n and 5n have the common term of n and you can add them up as if it were just 6 + 5.
6n + 5n = 11n
Answer:
11n
Step-by-step explanation:
We are given the expression:
6n+5n
and asked to simplify.
To simplify, we must combine like terms. Let's analyze the terms.
6n ⇒ has a variable "n"
5n ⇒ also has a variable "n"
The like terms in this expression are the terms with a variable, n.
To combine like terms, add the coefficients and leave an n on the end.
(6+5)n
11n
The expression 6n+5n simplified is 11n.
Wrote the slope intercept form of the equation for the line
Answer:
It would be the second question,
Step-by-step explanation:
y 7/8 x + 3/2
Line g passes through the points (-2.6,1) and (-1.4,2.5), as shown. Find the equation of the line that passes through (0,-b) and (c,0).
Answer:
y=-1.25x-4.25
Step-by-step explanation:
I had the same assignment.
The equation of the line that passes through (0,-b) and (c,0) is
7y - 8x = 28
The formula for calculating the equation of a line in point-slope form is expressed as:
[tex]y-y_0=m(x-x_0)[/tex]
m is the slope of the line
(x0, y0) is any point on the line
Given the coordinate points (0, -b) and (c, 0)
Since b = -4 and c = -3.5
The required coordinate points will be (0, 4) and (-3.5, 0)
Substitute the given parameters into the given formula for calculating the slope:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{0-4}{-3.5-0} \\m = \frac{4}{3.5}\\m = 8/7[/tex]
Substitute m = 8/7 and the point (0, 4) into the expression [tex]y-y_0=m(x-x_0)[/tex]
[tex]y-4=\frac{8}{7} (x-0)\\7(y-4)=8x\\7y-28=8x\\7y-8x=28[/tex]
Hence the equation of the line that passes through (0,-b) and (c,0) is
7y - 8x = 28
Learn more here: https://brainly.com/question/17003809
Simplify the radical. 2/√6 A)√12/6 B)√3/3 C)√6/3 D)√2
This is the square root of 6 over 3. The 3 is not inside the square root.
========================================================
Explanation:
sqrt = square root
We have sqrt(6) in the denominator. Your teacher wants you to rationalize the denominator, which means to take out the square root and instead have an integer here.
To achieve this, we multiply top and bottom of the fraction by sqrt(6) like so
[tex]\frac{2}{\sqrt{6}}\\\\\frac{2*\sqrt{6}}{\sqrt{6}*\sqrt{6}}\\\\\frac{2\sqrt{6}}{\sqrt{6*6}}\\\\\frac{2\sqrt{6}}{\sqrt{36}}\\\\\frac{2\sqrt{6}}{6}\\\\\frac{2\sqrt{6}}{2*3}\\\\\frac{\sqrt{6}}{3}\\\\[/tex]
Therefore,
[tex]\frac{2}{\sqrt{6}}=\frac{\sqrt{6}}{3}\\\\[/tex]
how do you solve this system of equation?
2x+4y=-4
3x + 5y =-3
Answer:
x = 4
y = -3
Step-by-step explanation:
We can use substitution, elimination, or graphically.
Step 1: Rearrange first equation
2x + 4y = -4
2x = -4 - 4y
x = -2 - 2y
Step 2: Rewrite systems of equations
x = -2 - 2y
3x + 5y = -3
Step 3: Substitution
3(-2 - 2y) + 5y = -3
-6 - 6y + 5y = -3
-6 - y = -3
-y = 3
y = -3
Step 4: Find x using y
2x + 4(-3) = -4
2x - 12 = -4
2x = 8
x = 4
Graphically:
Use a graphing calc and analyze where the 2 lines intersect.
Identify as either rational or irrational and approximate to the tenths place.
Answer:
to the tenth place =1.732
Scientists believe there is a link between ambient temperature and damage to a head gasket on a car. Using the provided information, draw a scatterplot of the data. Based on the information, what might the approximate damage index be if the temperature was 10° Celsius? A) 5 B) 7 C) 10 D) 13
Answer:
D) 13
Step-by-step explanation:
The lower temperatures have a negative correlation so the lower the temperature the higher the damage index. Therefore a temperature of 10° Celsius should have a damage index higher than that of 12° Celsius so the only option is 13.
Is the point (2,4) a solution of the equation y= 17x- 12?
Answer: Hi!
So, to find the answer to this question, we would substitute the variables in the equation with the x, y coordinated of the solution.
x = 2 and 4 = y
Our equation now looks like this:
4 = 17(2) - 12
4 = 34 - 12
4 = 22
This is not a true statement! Therefore, the point (2,4) cannot be a solution for this equation.
Hope this helps!
what is -4f -9 - f + 25 simplified?
Answer:
-5f + 6
Step-by-step explanation:
combining like terms
-4f - f = -5f
-9 + 15 = 6
A concert hall has 1540 seats.
Calculate the number of people in the hall when 55% of the seats are occupied
Monica needs to gain 10 pounds in order to be able to donate blood. She gained 5/6 pound the first week, 3/4 pound each of the next two weeks, 3/4 pound the fourth week, and lost 3/8 pound the fifth week. How many more pounds does she still have to gain?
Answer: [tex]7\dfrac{7}{24}\text{ pounds}[/tex]
Step-by-step explanation:
Given, Monica gained weight in first week = [tex]\dfrac{5}{6}[/tex] pounds
She gained weight in second week = [tex]\dfrac34[/tex] pounds
She gained weight in third week = [tex]\dfrac34[/tex] pounds
She gained weight in fourth week = [tex]\dfrac34[/tex] pounds
She lost weight in fifth week = [tex]\dfrac38[/tex] pounds
Now, net weight she gained= [tex]\dfrac{5}{6}+\dfrac34+\dfrac34+\dfrac34-\dfrac{3}{8}[/tex]
[tex]=\dfrac{20+18+18+18-9}{24}\\\\=\dfrac{65}{24}\\\\=2\dfrac{17}{65}\text{ pounds}[/tex]
She need to gain [tex]10-\dfrac{65}{24}=\dfrac{240-65}{24}=7\dfrac{7}{24}\text{ pounds}[/tex]
Hence, she still have to gain [tex]7\dfrac{7}{24}\text{ pounds}[/tex]more.
what is the tangent ratio for a
Answer:
2/3
Step-by-step explanation:
To find the tangent ratio of angle A we write the ratio of opposite side to adjacent side.
Aminer started at 8 feet above sea level
and then traveled 23 feet straight down
into a mine shaft. What was the miner's
elevation after traveling down the mine
shaft?
Answer:
-15 ft or 15 ft below sea level
Step-by-step explanation:
He started at +8 ft.
Then he went 23 ft down, that is -23 ft.
8 ft + (-23 ft) = 8 ft - 23 ft = -15 ft
Answer: -15 ft
which is a better price: 5 for $1.00, 4 for $0.85, 2 for $0.25, or 6 for $1.10?
Answer:
2 for $0.25
Step-by-step explanation:
1.10/ 6= .20 (rounding)
1.00/ 5= .20
0.85/ 4= .21
0.25/ 2= .13 (rounding)
can someone help me with #32! ITS DUE SOONNN
is k=3 a reduction or enlargement (dilation)
Answer:
It is an enlargement because k=3 is larger than 1. Anything that equals less than one (ex. k=0.25) would be a reduction.
Step-by-step explanation:
Central High School is having their annual spaghetti dinner tomorrow evening, so a team of volunteer cooks is busy preparing for the event. They estimate that each of the 200 guests will eat 1.5 cups of tomato sauce. If the cooks already made 6 gallons of tomato sauce yesterday, how many gallons do they have to make today?
Hint: There are 16 cups in 1 gallon.
Answer:
The answer is 12.75 gallons.
Step-by-step explanation:
What I did to figure this out is I multiplied 200 x 1.5 to figure how many cups there is total. Then I converted the cups to gallons and subtracted 6. I got 12.75 gallons of tomato sauce.
What is the equation for the line through P that is parallel to L and perpendicular to L. P(0,0), L:y=-x+2
Answer:
A. The equation of the line parallel to line L is y = – x
B. The equation of the line perpendicular to line L is y = x
Step-by-step explanation:
We'll begin by calculating the slope of line L.
This can be obtained as follow:
y = –x + 2
Comparing the above equation with:
y = mx + c
We can see that the slope (m) = –1.
Therefore, the slope of line L is –1
A. Determination of the equation of the line parallel to line L. This is illustrated below:
When two lines are parallel, their slope (m) is equal i.e
m1 = m2
m1 = – 1
– 1 = m2
This means that the slope of the line parallel to line L is –1
Now we shall determine the equation of the line parallel to line L as follow:
Coordinate = (0, 0)
x1 coordinate = 0
y1 coordinate = 0
Slope (m) = –1
y – y1 = m(x – x1)
y – 0 = –1 (x – 0)
y = – x
Therefore, the equation of the line parallel to line L is y = – x
B. Determination of the equation of the line perpendicular to line L. This is illustrated below:
When two lines are perpendicular, the product of their slope (m) is –1 i.e
m1 • m2 = – 1
but m1 = –1
–1 x m2 = – 1
Divide both side by – 1
m2 = –1/–1
m2 = 1
Now, we shall determine the equation of the line perpendicular to line L as follow:
Coordinate = (0, 0)
x1 coordinate = 0
y1 coordinate = 0
Slope (m) = 1
y – y1 = m(x – x1)
y – 0 = 1 (x – 0)
y = x
Therefore, the equation of the line perpendicular to line L is y = x
Rivika used the last four digits of her telephone number,1048, followed by its prime factorization to create her email password Determine her password
Answer: I'm pretty sure I can help, just give me like 3 minutes..
-Angie
Answer:
Her password is 1048222131.
Like Angie said, 1048 * 2* 2 * 2 * 131.
But before that you need to decompose 1048 into its prime factors.
The Prime Factorization is:
2 x 2 x 2 x 131
In Exponential Form:
23 x 1311
CSV Format:
2, 2, 2, 131
All Factors of 1048:
1, 2, 4, 8, 131, 262, 524, 1048
Prime Factors Tree
1048
/ \
2 524
/ \
2 262
/ \
2 131
There you go! If you need more help just reach out to me!
Evaluate the expression 2(8-4) - 10 ÷ 2
-4x+ 7x + 3 ? Simplify algebraic expressions
Answer:
3x+3
Step-by-step explanation:
Add -4x + 7x.
Andy painted 400 square feet in 3 hours.how long will it take him to paint 720 square feet
Answer:
324 minutes or 5.4 hours
Step-by-step explanation:
400/3 = 133.333
133.333/60 = 2.2222
It took him one minute to paint 2.2222 square feet
720/2.2222 = 324 minutes
324/60 = 5.4 hours
Answer:
It will take Andy 5 hours and 24 minutes to paint 720 sq. ft.
Step-by-step explanation:
Since he painted 400 sq. ft. in 3 hours, then do 400/3 to get 133.33... sq. ft per hour. Then, do 720 / 133.33... to get 5.40000000001 hours taken. The 5 represents 5 hours, and the .4 represents 24 minutes (because 60 x .4 = 24).
Overall, you get 5 hours and 24 minutes of time to pain 720 sq. ft.
A bike wheel. The weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grams. What is the weight of each tire in pounds? There are 453.592 grams in one pound. Round answers to 2 decimal places. 800 grams = pounds 700 grams = pounds
Answer:
a. 800 grams = 1.76 pounds
b. 700 grams = 1.54 pounds
Step-by-step explanation:
Here is a weight conversion problem.
In this question, we shall be making conversions from grams to pounds.
Kindly note that 453.592 grams = 1 pound as stated in the question
a. 800 grams
Kindly recall;
453.592 grams = 1 pound
800 grams = x pound
Thus;
453.592 * x = 800 * 1
x = 800/453.592
x = 1.764 pounds which is 1.76 pounds to 2 decimal places
b. 700 grams
1 pound = 453.592 grams
y pound = 700 grams
y * 453.592 = 700 * 1
y = 700/453.592
y = 1.543 pounds which is 1.54 to 2 decimal places
Answer:
1.76
1.54
Step-by-step explanation:
Which of the number sentence is true?Justify with reasons. 3/10 of 50 = 50% of 3 3% of 50 = 6% 100 50 divide by 30 = 30 divide by 50 3/10 multiply by 50 = 5/10 multiply by 30
Divide 35b5 + 20ab3 + 20a2b2 by 5b2. What is the quotient? A. 7b3 - 4ab - 4a2 B. 7b3 + 4ab + 4a2 C. 7b7 + 4ab5 + 4a2b4 D. 35b3 + 20ab + 20a2
Answer:
B. 7b3 + 4ab + 4a2
Step-by-step explanation:
35b5/5b2 + 20ab3/5b2 + 20a2b2/5b2
7b3 + 4ab + 4a2
Answer:
B = 7b³ + 4ab + 4a²
Step-by-step explanation:
35b^5 + 20ab³ + 20a²b² by 5b² ÷ 5b²
= 35b^5 + 20ab³ + 20a²b² by 5b²
_________________________
5b²
= 7b³ + 4ab + 4a²
Please help with this question!!!
Answer:
A = –3
B = 7
Step-by-step explanation:
Please see attached photo for explanation.
12. Mr. Gooding works at the local appliance store. His base salary is $360a week plus an
1/6
additional of his sales. If his total salary for the week is $570, what were his total sales for that
week?
Answer: total sales $1260
Step-by-step explanation:
GIVEN
Base salary: $360
Additional salary: 1/6 of total sale
Total salary: $570
-------------------------------------------------------
Let x= the total sales
360+(1/6)x=570
Subtract 360 on both sides
(1/6)x=210
Divide 1/6 on both sides
x=210 ÷ (1/6)
Turn division of fraction into multiplying its reciprocal
x=210 × 6
Simplify
x=1260
Hope this helps!! :)
Please let me know if you have any question
Select the statement that accurately describes the following pair of
triangles
Answer:
5. Triangle UVT ~ ∆RSQ by SSS
Step-by-step explanation:
The ratios of side lengths, shortest to longest are ...
VT : TU : UV = 42 : 70 : 84 = 3 : 5 : 6
SQ : QR : RS = 15 : 25 : 30 = 3 : 5 : 6
Side lengths are proportional, so ∆UVT ~ ∆RSQ.
__
The triangle names need to be chosen so the sides are in the same order. Here UV and RS correspond, as do VT and SQ. That eliminates all but one answer choice.