Which of the following statements is true about the given function?
jack lease a car for $159\month for 39 months. the amount due when he signed the lease was 2399. how much did jack pay during the first year of the lease.
The difference of two numbers is 44 1/2 . If the smaller of the two numbers increases 7 times then the difference will be 10 3/14 . Find the numbers.
The numbers are: ___ ,___ or ____,___
The smaller number is 11 and the larger number is [tex]55 \frac{1}{2}[/tex].
Let's denote the two numbers as x and y, where x is the smaller number. We're given that [tex]y - x = 44 \frac{1}{2}[/tex] and [tex]7x - y = 10 \frac{3}{14}[/tex].
To solve this system of equations, we can use substitution or elimination. Let's use elimination:
1. Multiply the second equation by 2 to clear fractions: [tex]14x - 2y = 20 \frac{6}{14}[/tex].
2. Add the modified second equation to the first equation:
[tex](y - x) + (14x - 2y) = 44 \frac{1}{2} + 20 \frac{6}{14}[/tex]
[tex]13x - y = 64 \frac{11}{14}[/tex]
Now, we have a simpler equation: [tex]13x - y = 64 \frac{11}{14}[/tex].
3. Add this equation to the original second equation to find x:
[tex]7x - y + 13x - y = 10 \frac{3}{14} + 64 \frac{11}{14}[/tex]
[tex]20x - 2y = 75[/tex]
4. Now, we can solve this equation along with the first equation to find x and y.
After solving, we get x = 11 and [tex]y = 55 \frac{1}{2}[/tex].
The smaller number is 11 and the larger number is [tex]55 \frac{1}{2}[/tex].
Thus, the numbers are [tex]{11 \text{ and } 55 \frac{1}{2}}[/tex].
Correct Question:
The difference of two numbers is 44 1/2 . If the smaller of the two numbers increases 7 times then the difference will be 10 3/14 . Find the numbers.
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what is 2 1
1__ - 2__ = ?
3 3
Cara muffin recipe calls for 1 1/2 cups of flour for the muffins and 1/4 cup flour for the topping.If she makes 1/2 of the original recipe.How much flour will she use.
The amount of cups of flour needed to make 1/2 of the original recipe is 7/8 cups.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Recipe:
Amount of flour for muffins = [tex]1\frac{1}{2}[/tex] = 3/2 cups
Amount of flour for toppings = [tex]\frac{1}{4}[/tex] = 1/4 cups
The total amount of flour:
= 3/2 + 1/4
= (12 + 2) / 8
= 14 / 8
= 7/4 cups
We see that the total amount of flour needed to make one Cara muffin recipe is 7/4 cup of flour.
To make 1/2 of the original recipe.
The amount of flour needed:
1 recipe = 7/4 cups
Divide both sides by 2.
1/2 recipe = 1/2 x 7/4 cups
1/2 recipe = 7/8 cups
Thus,
The amount of cups of flour needed to make 1/2 of the original recipe is 7/8 cups.
Learn more about fractions here:
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What is another way to write this number 300+70+5/10+8/100
Find the inverse function for the function f(x) = mx + b?
If ED = 10 and DB = 3x-8, what is the length of EB
1. 32
2. 22
3. 10
4. 20
The following is the correct way to begin solving for the quotient of 39.538 divided by 5.3 using the standard method:
True
False
ILL GIVE BRAINLIEST IF U GET IT RIGHT!!
Answer:the answer is false
How would you factor
4x^3 + 2x^2 + 2x?
Please explain in steps not just give me the straight answer.
Answer:
[tex]2x(2x^2+x+1)[/tex]
Step-by-step explanation:
We have been given an expression and we are asked to find factor out our given expression.
[tex]4x^3+2x^2+2x[/tex]
To factor our given expression we need to factor out the greatest common factor of each term of our given expression.
We can rewrite our given expression as:
[tex](2\cdot 2\cdot x\cdot x\cdot x)+(2x\cdot x)+2x[/tex]
We can see that the greatest common factor of our given expression is 2x.
Upon factoring out 2x from our given expression we will get,
[tex]2x(2\cdot x\cdot x+x+1)[/tex]
[tex]2x(2x^2+x+1)[/tex]
Therefore, the factored form of our given expression is [tex]2x(2x^2+x+1)[/tex] .
When the town of Bradyville first started its voluntary recycling program, 1500 of the town’s residence participated. The town predicts that the number of people participating in the recycling program will increase by 15% each year.
Which explicit rule can be used to determine the number of people participating in the program in the fifth year?
an=1500(1.15)^n−1
an=1500(0.15)^n
an=1500(1.15)n
an=1500(0.15)^n−1
Answer:
Here you go. :)
Which is an example of the associative property?
A) x + 5 = 5 + x
B) (x + 3) + 7 = x + (3 + 7)
C) 3 • (x + 5) = 3 • x + 15
D) If x = a, and a = 7, then x =
The diameter of a sphere is 21.6 cm. What is the sphere's volume? Round to the nearest tenth, if necessary.
Each blade on a windmill is in the shape of a triangle with a base of 7 feet and a height of 4 feet. If there are four blades on the windmill, what is the total area of the blades 1.56 ft2 2.14 ft2 3.28 ft2 or 4.96 ft2 im unsure of this one but im going with 2.,
Most flat screen TVs today are made with an aspect ratio (ratio of the length to the height) of 16:9. Xenock Electronics' top selling TV is their 28-inch model, whose viewing area has a length of 24 inches and a height of 13.5 inches. This TV costs $226.99. They have three main competitors that claim to offer a better deal per viewing area. Phil's Supercenter claims their 18-inch model, whose viewing area length is of the length of Xenock's 28-inch model, is a better deal per viewing area at $152.99. Tyler's Electronics claims their 33-inch model, whose viewing area height is 20% taller than Xenock's 28-inch model, is a better deal per viewing area at $276.99. Beltre's Superstore claims their 82-inch model, whose viewing area dimensions are 300% as large as Xenock's 28-inch model, is a better deal per viewing area at $2,079.99. List the TV's in order of best deal per viewing area. Assume all TV's have the same aspect ratio.
simplify 8v + W + 7 - 8v + 2w
Solve the inequality
-40 > -10k
In july in seattle, the grass grows 1/2 inch a day on a sunny day and 1/4 inch a day on a cloudy day. in seattle, in july, 75% of the days are sunny and 25% of the days are cloudy.
a.find the expected value of grass growth for the day
b.find the expected value of grass growth for the month of july ( 31 days ) -- round both to 2 decimal placees
Final answer:
Calculate the expected grass growth in Seattle based on the daily growth rates for sunny and cloudy days, then find the expected growth for the month of July.
Explanation:
a. Expected value of grass growth for the day:
Expected growth = (0.75 x 0.5) + (0.25 x 0.25) = 0.4375 inches
b. Expected value of grass growth for the month of July:
Expected growth for July = 31 days x Expected growth per day = 31 x 0.4375 = 13.56 inches
The radius of a circle is equal to half of its diameter. What is the RADIUS of this circle?
In 2004, the world's largest carousel was located at the House on the Rock, in Spring Green, Wisconsin. Suppose that the center of the carousel is at the origin and that one of the animals on the circumference of the carousel has coordinates (24, 32). If one unit of the coordinate plane equals 1 foot, what is the diameter of the carousel
When a number is divided by -3, the result is 12 more than the number what is the number?
Final answer:
To find the number that, when divided by -3, the result is 12 more than the number, we set up an equation and solve it to get the answer, which is -9.
Explanation:
When a number is divided by -3, and the result is 12 more than the number itself, we can set up the following equation to find the number: number / -3 = number + 12. Following division and multiplication rules for signs, and executing proper algebraic manipulations, we can solve this equation.
First, we multiply both sides by -3 to get rid of the fraction:
-3 * (number / -3) = -3 * (number + 12),
which simplifies to:
number = -3(number) - 36.
Next, we add 3(number) to both sides to get:
4(number) = -36.
Finally, we divide both sides by 4 to isolate the 'number':
number = -36 / 4
number = -9.
Therefore, the number in question is -9.
A little help pwease :o ? A group of 45 people attended a ball game. There were twice as many children as adults in the group. Set up a system of equations that represents the numbers of adults and children who attended the game and solve the system to find the number of children who were in the group. O.o
Please help!!! Thank you!!!
Write the equation, in slope-intercept form, of the line passing through the origin and the point $(-4,3)$.
John bikes for 2 hours at a speed of 15 miles per hour. How many hours will it take Shannon to cover the same distance at a speed of 10 mi/h?
Answer:
3 hours to travel 30 miles biking at 10mph
Step-by-step explanation:
hope this helps... :)
If △STU ~ △XYZ, which statements must be true? Check all that apply. ∠S ≅ ∠X ∠T ≅ ∠Y ST = XY SU = XZ
Two triangles are similar if and only if there corresponding angles are congruent and the ratio of there corresponding sides are equal. Triangle STU is similar to triangle XYZ than [tex]\rm \angle S \cong \angle X[/tex] , [tex]\rm \angle T \cong \angle Y[/tex] and [tex]\rm \dfrac{ST}{XY}=\dfrac{TU}{YZ}=\dfrac{SU}{XZ}[/tex].
Given :
[tex]\rm \Delta STU \sim \Delta XYZ[/tex]
Two triangles are similar if and only if there corresponding angles are congruent and the ratio of there corresponding sides are equal.
Now, it is given that triangle STU is similar to triangle XYZ. This condition is only true when:
[tex]\rm \angle S \cong \angle X[/tex][tex]\rm \angle T \cong \angle Y[/tex][tex]\rm \dfrac{ST}{XY}=\dfrac{TU}{YZ}=\dfrac{SU}{XZ}[/tex]It can be conclude that if triangle STU is similar to triangle XYZ than [tex]\rm \angle S \cong \angle X[/tex] , [tex]\rm \angle T \cong \angle Y[/tex] and [tex]\rm \dfrac{ST}{XY}=\dfrac{TU}{YZ}=\dfrac{SU}{XZ}[/tex] . Therefore, the correct option is A), C) and D).
For more information, refer the link given below
https://brainly.com/question/19738712
The area of a rectangular classroom is given by the trinomial 10x^2 + 3x - 4 What are the possible dimensions of the classroom? Use Factoring.
Answer:
(5x + 4) and (2x – 1)
Step-by-step explanation:
Which of the following values are zeros of
x(x+5)(x-3)?
SELECT ALL THAT APPLY.
A. -5
B. -3
C. 0
D. 3
E. 5
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identify a counterexample for the following conditional: if you live in Springfield, then you Iive in Illinois.