URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
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An equation for the total cars and trucks for dealership A is: x + y = 164.
An equation for the total cars and trucks for dealership B is: 2x + 0.5y = 229.
The number of cars that dealership A sold is: 98 cars.
The number of trucks that dealership B sold is: 66 trucks.
How to write a system of equations to model this situation?In order to write a system of linear equations to describe this situation, we would assign variables to the number of cars sold and number of trucks sold, and then translate the word problem into an algebraic equation as follows:
Let the variable x represent the number of cars sold.Let the variable y represent the number of trucks sold.Since the first dealership sold a total of 164 cars and trucks, a linear equation to model this situation is given by;
x + y = 164.
Additionally, the second dealership sold twice as many cars and half as many trucks as the first dealership, with a total of 229 cars and trucks;
2x + 0.5y = 229.
By solving the systems of linear equations simultaneously, we have:
2x + 0.5(164 - x) = 229
1.5x + 82 = 229
x = 98 cars.
For the y-value, we have;
2(98) + 0.5y = 229
0.5y = 229 - 196
y = 33/0.5
y = 66 trucks.
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help
question below
Answer:
x < -1
I hope this helps!
34+25 divided by 1/4
Please help. I don’t understand this. I’ll mark you as brainliest if correct!
Calculate the volume of this cylinder in terms of Pi and to the nearest hundredth
The volume of the given cylinder in terms of pi as required to be determined in the task content is; 5000 pi.
What is the volume of the given cylinder?It follows from the task content that the volume of the cylinder which is as represented is to be determined.
Since the volume of a cylinder is;
V = 2πr²h
where r = 10 and h = 25.
V = 2π × 10² × 25.
V = 5000π.
Ultimately, the volume of the given cylinder as required to be determined is; V = 5000 pi.
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Write in ordinary form
3.6
×
10
−
1
Solve the following inequality
8n+4n< -4+8n
Answer:
n < –1
Step-by-step explanation:
8n + 4n < –4 + 8n
12n < –4 + 8n
12n – 8n < –4
4n < –4
divide both sides by (4) to obtain
n < –1
i hope this helps please rate the answer as brainliest
Please help I’m struggling
Answer:
B
Step-by-step explanation:
Each floor, the rent is 3% more than the previous floor, so we multiply by 1.03.
Since we do this 17 times, the answer is \(1420 \cdot 1.03^{17}\).
Answer: B
Step-by-step explanation:
You just need to find the formula, replace 17 with variable x and $2347.04 with y and graph. It will give you the right answer.
Prove that the
ordered pair (3, 4)
is a solution set to
the equation:
2x + 3y = 18
Answer:
Hey there!
2x+3y=18
2(3)+3(4)=18
6+12=18
18=18, so this is a valid ordered pair.
Let me know if this helps :)
What is the range of the numbers below?
-3.9
-7.3
4.6
-6.0
0.5
7.2
In the figure below, triangle ABC is similar to triangle PQR, as shown below:. PLEASE HELP ME!!!!!!!!!!
Answer:
35 i think
Step-by-step explanation:
Brandon is having a bake sale at school to raise $140.00 to donate to the local animal shelter. He sells brownies for $1.00 each and cookies for $0.50 each. Given that Brandon sells 82 brownies, and all sales go to the donation, how many cookies does he need to sell to reach his goal?
F. 29
G. 58
H. 111
J. 116
K. 444
Answer:
J_116
Step-by-step explanation:
because brownies =$82
and cookies would equal to $58
Write an equation of the line in slope-intercept form that
passes through each pair of points.
a) (-2, -1) and (5, 13)
b) (0, -3) and (5,-5)
Answer:
A should be 2
B should be -2/5
Step-by-step explanation:
If I am wrong let me know please
Find the smallest positive integer k such that, for every positive integer n, 6n+k is relatively prime to each of 6n+3, 6n+2, and 6n+1.
Answer:
Use Mathpapa to find your answer.
Step-by-step explanation:
It's a good, and powerful program.
I NEED HELP SOMEONE PLEASE HELP ME I NEED ANSWER BY TODAY SOMEONE PLEASE HELP
Answer:
D 100% d
Step-by-step explanation:
Suppose that 40% of all adults regularly consume coffee, 50% regularly consume carbonated soda, and 60% regularly consume at least one of these two products
What are the two values on a number line that are a distance of 5 from 0?
Answer:
5 and -5Step-by-step explanation:
For a number line the centre of the line is the origin (0, 0). To get the two numbers that are a distance of 5 from 0, we will add 5 to 0 and subtract 5 from 0.
Towards the positive x axis;
The value at a distance of 5 from 0 = 5- 0 = 5
Towards the negative x axis;
The value at a distance of 5 from 0 = -5- 0 = -5
Hence the two values on a number line that are a distance of 5 from 0 are 5 and -5
60 POINTS 3a − 2b + 5 when a = −4 and b = 3?
Answer:-18
Step-by-step explanation:
93,83,65,59,88,76,86,93,48,73,54,79
What is the percentage of these test scores that are less than 88?
Please help with this question
Answer:
(5, -6)
Step-by-step explanation:
We have the two equations
\(\begin{aligned}2ax + 2y &= b \cdots\cdots [1]\\ 5 x + y &= -6 \cdots\cdots [2]\\\end{aligned}\\\)
Multiply equation [2] by 2
\(10x + 2y = -6 \cdots\cdots[3]\)
There will be an infinite number of solutions when both equations [1] and [3] are exactly the same:
For this to happen the right sides must be the same
So b = -6
Also 2ax = 10x
so 2a = 10
a = 5
So the ordered pair(5, -6) results in an infinite number of solutions
Using the formula for the difference of squares, calculate: (100 - 3)
(100 + 3).
Answer:
97
Step-by-step explanation:
Answer:
Step-by-step explanation:
Explanations are below
Step 1
(100-3) Observe the equation
Step 2
(100-3) Simplify
100-(+3)
100-3
Answer: 97
What are the solutions to the equation 0=|3x+3|+3
Therefore, the solutions to the equation 0 = |3x + 3| + 3 are x = -2 and x = 0.
To solve the equation 0 = |3x + 3| + 3, we need to eliminate the absolute value. Remember that the absolute value of a number is always non-negative.
First, let's isolate the absolute value term on one side of the equation:
|3x + 3| = -3
Since the absolute value cannot be negative, there are no solutions to the equation as it stands. However, if we modify the equation to make the right side positive, we can find a solution.
To eliminate the absolute value, we can rewrite the equation as two separate equations, considering both the positive and negative cases:
3x + 3 = -3
-(3x + 3) = -3
Solving equation 1:
3x + 3 = -3
3x = -6
x = -2
Solving equation 2:
-(3x + 3) = -3
-3x - 3 = -3
-3x = 0
x = 0
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2(4x - 1) < 4(3x+1), where x ∈ {set of all negative Integers}
\(\large\underline{\sf{Solution-}}\)
Given inequation:
\(\sf 2(4x-1)<4(3x+1), x\in \{Set\ of\ negative\ integers\}\)
\(\sf\longmapsto 8x-2<12x+4\)
\(\sf\longmapsto 8x-2-4<12x+4-4\)
\(\sf\longmapsto 8x-6<12x\)
\(\sf\longmapsto 8x-6-8x<12x-8x\)
\(\sf\longmapsto -6<4x\)
\(\sf\longmapsto 4x>-6\)
\(\sf\longmapsto \dfrac{4x}{4}>\dfrac{-6}{4}\)
\(\sf\longmapsto x >-1\dfrac{1}{2}\)
Therefore:
\(\sf\longmapsto\boxed{ x=\{-1\}}\ \ Ans.\)
The diagram shows EFG. Which term describes point H?
A. Circumcenter
B. Incenter
C. Orthocenter
D. Centroid
Point H is the ortho-center of our given triangle and option c is the correct choice.
We have been given an image of a triangle. We are asked to find the term that describes point H.
We can see that point H is the point, where, all the altitudes of our given triangle EFF are intersecting.
We know that ortho-center of a triangle is the point, where all altitudes of triangle intersect. Therefore, point H is the ortho-center of our given triangle and option c is the correct choice.
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The scatter plot shows the average monthly temperature, x, and a family's monthly heating cost, y, for 23 different months.
(a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit.
(b) Using your equation from part (a), predict the monthly heating cost for a month with an average temperature of 35 °F.
Note that you can use the graphing tools to help you approximate the line.
1. The equation of the line of best fit is: y = -1.15x + 102.8
2. Using the equation of the line of best fit, the predicted cost is: $62.55
What is the Equation of a Line of Best Fit?The equation of a line of best fit is represented by the equation, y = mx + b, where m is the slope and b is the initial value.
1. Using two points, (72, 20) and (20, 80):
Slope (m) = change in y / change in x = (80 - 20)/(20 - 72) = 60/-52
Slope (m) = -1.15.
Substitute m = -3 and (a, b) = (72, 20) into y - b = m(x - a)
y - 20 = -1.15(x - 72)
y - 20 = -1.15x + 82.8
y = -1.15x + 82.8 + 20
y = -1.15x + 102.8
The equation of the best line of fit is y = -1.15x + 102.8.
2. Monthly heating cost, y, for a month with an average temperature of 35°F (x) will be calculated by substituting x = 35 into y = -1.15x + 102.8.
y = -1.15(35) + 102.8
y = 62.55
The predicted monthly cost is $62.55.
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Integrate the following function:
Answer: a
Step-by-step explanation:
First term
\(\int \sqrt{10x-15} \mathrm{dx}\)
We can use the substitution u=10x-15, meaning dx = 1/10 du.
\(=\frac{1}{10} \int \sqrt{u} \mathrm{du}\\\\=\frac{1}{15}u^{3/2}+C\\\\=\frac{1}{15}(10x-15)^{3/2}+C\)
Second term
\(\int (10x-15)^{10} \mathrm{dx}\)
We can use the substitution u=10x-15, meaning dx = 1/10 du.
\(=\frac{1}{10} \int u^{10} \mathrm{du}\\\\=\frac{1}{110} u^{11}+C\\ \\ =\frac{1}{110}(10x-15)^{11}+C\)
Third term
\(\int \frac{1}{10x-15} \mathrm{dx}\)
We can use the substitution u=10x-15, meaning dx = 1/10 du.
\(=\frac{1}{10} \int \frac{1}{u} \mathrm{du}\\\\=\frac{1}{10} \ln u+C\\\\=\frac{1}{10} \ln(10x-15)+C\)
Adding these results, we get the answer to be a.
A ship is anchored off a long straight shoreline that runs north and south. From two observation points
miles apart on shore, the bearings of the ship are
and
. What is the distance from the ship to each of the observation points? Round each answer to the nearest tenth of a mile.
The distance from the north most ship to the observation is
miles.
The distance from the south most ship to the observation is
miles.
The distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.
The bearing is defined as the angle measured clockwise from the north direction. A ship is anchored off a long straight shoreline that runs north and south.
From two observation points miles apart on shore, the bearings of the ship are 52 degrees and 134 degrees respectively. To find the distance from the ship to each of the observation points, we can use trigonometry.
Let's call the distance from the north observation point to the ship x, and the distance from the south observation point to the ship y. The bearings from the north and south observation points can be drawn as follows:
[asy]
unitsize(1cm);
pair O = (0,0), N = (-2,0), S = (2,0), A = (-2,1), B = (2,-1);
draw(O--N--A,Arrow);
draw(O--S--B,Arrow);
\(label("$52^\circ$", N + 0.3*dir(52), NE);\)
\(label("$134^\circ$", S + 0.3*dir(134), SE);\)
draw(O--A--B--cycle,dashed);
\(label("$x$", (N+A)/2, W);\)
\(label("$y$", (S+B)/2, E);\)
[/asy]
We can use the tangent function to find x and y, since we have the angle and opposite side.
From the north observation point, we have:
\($$\tan(52^\circ) = \frac{x}{2}$$$$x = 2\tan(52^\circ) \approx 2.95$$\)
From the south observation point, we have:
\($$\tan(134^\circ) = \frac{y}{2}$$$$y = 2\tan(134^\circ) \approx 9.88$$\)
Therefore, the distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.
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For the past 6 years, a town has held a festival in June. The first year it was held, only 200 people attended. Last year, 814 people attended. Let p represent the number of people who attended any other year. If attendance for the festival has increased every year, which inequality best describes the value of p? A. 200 < p > 814 B. 200 < p < 814 C. 200 > p > 814 D. 200 > p < 814
The inequality that best describes the value of p is A. 200 < p > 814.
What is an inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
Let p represent the number of people who attended any other year.
Since there's always an increase, the inequality will be 200 < p > 814.
The correct option is A.
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Need help with this question ! Due soon*
Answer:
x = 10, AB = 57
Step-by-step explanation:
In a trapezoid, the length of the median is one-half the sum of the lengths of the bases. From this, we have:
\( \frac{1}{2} (5x + 7 + 8x - 11) = 63\)
\(13x - 4 = 126\)
\(13x = 130\)
\(x = 10\)
\(5(10) + 7 = 50 + 7 = 57\)
2. Abigail and Curtis Siebert: $270,000 mortgage at 7% for 20 years.
M = 270,000 * (0.5833% * (1 + 0.5833%)^240) / ((1 + 0.5833%)^240 - 1). Calculating this equation will give us the monthly mortgage payment for Abigail and Curtis Siebert.
Abigail and Curtis Siebert have a $270,000 mortgage at an interest rate of 7% for a term of 20 years.
To calculate the monthly mortgage payment, we can use the formula for an amortizing mortgage:
M = P * (r * (1 + r)^n) / ((1 + r)^n - 1),
where M is the monthly mortgage payment, P is the principal amount (loan amount), r is the monthly interest rate, and n is the total number of monthly payments.
First, we need to convert the annual interest rate to a monthly interest rate. Since there are 12 months in a year, the monthly interest rate is 7% divided by 12, which is approximately 0.5833%.
The total number of monthly payments is the term of the mortgage multiplied by 12. In this case, it's 20 years * 12 months, which equals 240 months.
Now, we can substitute the values into the formula:
M = 270,000 * (0.5833% * (1 + 0.5833%)^240) / ((1 + 0.5833%)^240 - 1).
Calculating this equation will give us the monthly mortgage payment for Abigail and Curtis Siebert.
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