In linear equation, 2x - 5 is an expression for John's test grade.
What is linear equation in one variable?
The equation for a linear equation in one variable is written as ax+b = 0, where a and b are two integers, and x is a variable. This equation has only one solution. For instance, the linear equation 2x+3=8 only has one variable.A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."Let Ariana's test grade = x
twice Ariana's test grade = 2x
then, John's test grade = 2x - 5
an expression for John's test grade = 2x - 5
Learn more about linear equation
brainly.com/question/11897796
#SPJ1
POV: I don't trust most of the people on here to give me the correct answer, but... T^T
Answer:
650,000
Step-by-step explanation:
[tex]10^5=100000\\=100000\cdot \:6.5\\=650000[/tex]
A delivery person has two different delivery routes that he follows the first route is 20.75 miles long and the second is 30.25 miles long he travels each route 4 times a week after 7 weeks how many total miles has he traveled
Answer:
Step-by-step explanation:
20.75 miles x 4 = 83 miles
30.25 miles x 4 = 121 miles
Now take the 83 and multiply by 7 for the 7 weeks and multiply the 121 also by 7.
83 x 7 = 581
121 x 7 = 847
Now add the 581 miles with the 847 to get the total miles travelled.
581+847 = 1428 Miles
Answer: The delivery person travels 1428 miles
If Ð1 and Ð2 are complementary angles, and mÐ1 = 74!; "nd mÐ2.
Answer:
∠ D2 = 16°
Step-by-step explanation:
complementary angles sum to 90° , then
∠ D1 + ∠ D2 = 90°
74° + ∠ D2 = 90° ( subtract 74° from both sides )
∠ D2 = 16°
If two angles are complementary they add up to a total of 90 degrees.
So we know that
D1+D2=90, because the problem tells us they're complementary
Now, we know as well that D1 = 74, so we can plug it into the little equation and solve in terms of D2.
[tex]D1+D2=90[/tex]
[tex]74+D2=90[/tex]
[tex]D2=90-74[/tex]
[tex]D2=16[/tex]
hope it helps have a great time learning!
Write, in slope-intercept-form, the inequality shown in the graph.
Two points which the boundary line intersects are shown.
-10
Solve this equation using indices
8 x 8^4x-3 = 512 x 8^x
The solution using indices for the given equation is (x = 5/3).
What is meant by indices?The small floating quantity that makes it appear after an amount or letter is known as an index or power. Indexes is the plural of index. Indices represent the number of times a quantity or letter has indeed been multiplied on its own.Indexes are also referred to as powers or exponents. It indicates how many times a provided number must be multiplied.The multiplication of x is equal to the base x raised to a power of p.For the given expression in question;
8 × 8⁴ˣ⁻³ = 512 × 8ˣ
By the property of indices, if the base is equal; then the powers are added with sign.
8⁴ˣ⁻³⁺¹ = 512 × 8ˣ
As, we know that 512 is the cube of 8.
8⁴ˣ⁻² = 8³ × 8ˣ
Apply the power law on right side;
8⁴ˣ⁻² = 8³⁺ˣ
As, the base on both side is equal, then the exponents are also equal.
Thus,
4x - 2 = 3 + x
Bring variables and constants on different sides.
4x - x = 3 + 2
3x = 5
x = 5/3
Therefore, the value of x is found as 5/3.
To know more about indices, here
https://brainly.com/question/10339517
#SPJ1
You are hiking on a trail that leads to the top of a mountain. At 1 P.M. you reach an elevation of 4400 feet. At 4 P.M. you reach an elevation of 5600 feet. What is your mean/ average hourly change in elevation?
The mean change in elevation is____ feet per hour.
Answer:
Step-by-step explanation:
1200 feet in 3 hours
400 feet per hour
That was also a question that I had.
At 5:00 a.m., the temperature outside was 6 °F below zero. By noon, it rose by 15 °F. What was the temperature at noon?
A: 21 °F
B: 9 °F
C: –9 °F
D: –21 °F
You own a hamburger franchise and are planning to shut down operations for the day, but you are left with 11 buns, 13 defrosted beef patties, and 9 opened cheese slices. Rather than throw them out, you decide to use them to make burgers that you will sell at a discount. Plain burgers each require 1 beef patty and 1 bun, double cheeseburgers each require 2 beef patties, 1 bun, and 2 slices of cheese, while regular cheeseburgers each require 1 beef patty, 1 bun, and 1 slice of cheese. How many of each should you make? plain burgers Incorrect: Your answer is incorrect. double cheeseburgers 19 Incorrect: Your answer is incorrect. regular cheeseburgers 15
From calculations, the numbers of each type we should make are;
4 plain burgers
2 double burgers
5 regular burgers
How to solve equation word problems?Let us denote each of the types of the hamburgers as;
Plain burgers is p
double cheeseburgers is d
regular cheeseburgers is r
Thus;
For Beef patty, the equation is;
p + 2d + r = 13 -----(1)
For buns, the equation is;
p + d + r = 11 ------(2)
For cheese, the equation is;
0 + 2d + r = 9 -----(3)
Solving these three equations simultaneously using an online calculator gives;
p = 4; d = 2; r = 5
From calculations, the numbers of each type we should make are;
4 plain burgers
2 double burgers
5 regular burgers
Read more about equation word problems at; https://brainly.com/question/21405634
#SPJ1
(f) Is it true that a function that is always
increasing will have an inverse that is always
decreasing? Support your yes or no answer.
Answer: yes it is true .
Step-by-step explanation:
If the function f(x) is either always increasing or always decreasing then it has an inverse function f –1(x). The Range of f(x) becomes the Domain of f –1(x). We find the equation of the inverse by solving the equation y = f(x) for x.
there are ten birdbaths in a park. on the first day of spring, the birdbaths are filled. Several weeks later, the overall change in the water level is found. the results are shown in the table. what is the range of the data?
Based on the change in the water levels of the ten birdbaths in the park, the range of the data is 4.2.
How to find range?To find the range of a distribution of numbers, you need to subtract the smallest number from the largest number.
The largest number in the distribution of birdbaths is 2.6 and the smallest number in the distribution is -1.6
The range is therefore:
= 2.6 - (-1.6)
= 2.6 + 1.6
= 4.2
The range of numbers are:
2.2, 0.3, -1.5, 2.6, 1.9, 0.4, 0.6, -1.6, 2.5, -0.6
Find out more on range at https://brainly.com/question/1542590
#SPJ1
2(6x)(6x) +4(12x-9)(6x)]
Answer:
360x^2-216x
Step-by-step explanation:
2(6x)(6x) +4(12x-9)(6x)
We want to simplify
Multiply the first terms
72 x^2 +4(12x-9)(6x)
Distribute the 4 to each term in the first parentheses
72x^2 + (48x -36) 6x
Multiply
72x^2 +288x^2 - 218x
Combine like terms
360x^2-216x
lesson 6.1
Graph the image of the figure using the transformation given.
options are out of the last 3 images
The figure with the coordinates R'(-4, 2), S'(-4, 4), T'(1, 5) and U' (0, 0) are graph of the image of the figure.
Hence, Option B is the correct answer.
What is translation?
A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other.
Given that,
The translation is 1 units left and 5 units up.
The coordinates of the given figure are R(-3, -3), S(-3, -1), T(2, 0) and
U(1, -5).
Now, If the translation is 1 units left and 5 units up, then the coordinates become (x - 1, y + 5).
Hence, Coordinates for the image of the graph are;
R' = (-4 - 1, 2 + 5) = (-5, 7)
S' = (-3 - 1, -1 + 5) = (-4, 4)
T' = (2 - 1, 0 + 5) = (1, 5)
U' = (1 - 1, -5 + 5) = (0, 0)
Hence, The coordinates are R'(-4, 2), S'(-4, 4), T'(1, 5) and U' (0, 0).
Therefore, The figure with the coordinates R'(-4, 2), S'(-4, 4), T'(1, 5) and
U' (0, 0) are graph of the image of the figure.
Hence, Option B is the correct answer.
Learn more about the translation visit:
https://brainly.com/question/28349534
#SPJ1
2. Kenzie makes $12.50 per hour. She works 20 hours per week. Find:
a. Her weekly pay
b. Her monthly pay
c. Her yearly pay
d. Her weekly take-home pay if she takes home 76%.
can someone explain?
Her weekly pay is $250
Her monthly pay is $1000
Her yearly pay is $12000
Her weekly take-home pay if she takes home 76% is $190
What is a unit rate?Unit rate is the ratio of two different units, with the denominator as 1.
We have,
1 hour = $12.50
1 week = 20 hours
The weekly pay:
= 20 hours
= 20 x 12.50
= $250
Monthly pay:
= 4 weeks
= 4 x 20 hours
= 80 hours
= 80 x 12.50
= $1000
Yearly pay:
= 12 months
= 12 x 4 weeks
= 48 weeks
= 48 x 20 hours
= 960 hours
= 960 x 12.50
= $12000
Weekly take-home pay:
= 76% of $250
= 76/100 x 250
= $190
Thus,
Her weekly pay is $250
Her monthly pay is $1000
Her yearly pay is $12000
Her weekly take-home pay if she takes home 76% is $190
Learn more about percentage increase here:
https://brainly.com/question/14581337
#SPJ1
Use the table, along with dimensional analysis, to
convert the given square unit to the square unit
indicated.
18 in² to cm²
cm² (Round to the nearest hundredth as needed.)
1 in2
1 ft2
1 yd²
1 mi2
1 acre
= 6.5 cm²
= 0.09 m²
= 0.8 m².
= 2.6 km²
= 0.4 hectare (ha)
The required converted value of the dimension 18 in² in cm² is 117cm².
Given that,
To convert the given square unit to the square unit indicated. 18 in² to cm² with the help of the table, along with dimensional analysis.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given unit to convert
is
18 in² to cm²
Since 1 in² = 6.5 cm²
So now,
18 in² = 18* 6.5 cm² = 117 cm²
Thus, the required converted value of the dimension 18 in² in cm² is 117cm².
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ1
Please help me with this exercise!
Good and Gather Creamy Almond Butter provides the best deal based on cost.
What is cost?
A cost is an outlay needed to create, market, or prepare an item for regular usage. In other terms, it's the cost incurred to produce a good, buy inventories, sell goods, or prepare equipment for use in a commercial activity.
Costs come in a variety of forms, both fixed and variable, but they are always recorded in the same way. Costs are deducted in a closing entry at the conclusion of the accounting period after being reported as costs on the income statement throughout the period.
Here, Good and Gathe Creamy Almond Butter is provided 16 ounces at $8.69 which is the best deal among the three based on cost.
To know more about cost, click on the link
https://brainly.com/question/1400500
#SPJ1
3. What is the value of the 4 in 279,045,628,312? Answer
Answer:
10 million
Step-by-step explanation:
The value is how many time i did Your mom
Evolve eagle flies 43.2 m in three seconds the graph shows a distance a typical peregrine Falcon flies overtime at this rate what is the difference in the distances flown by these two birds after three hours of light show your work. Pls show ur work!
The difference in the distances flown by these two birds after three hours of light is 94.47km
Distance graphAccording to the question, Evolve eagle flies 43.2 m, the distance it will fly in 3 hours will be;
43.2m = 3 seconds
x = 10800seconds
Find the ratio
3x = 43.2 × 10,800
x = 155520 meters = 155.530km
From the graph, the distance traveled in 3 hours is equivalent to 250km
Difference in distance
Difference = 250 - 155.530
Difference = 94.47km
Therefore the difference in the distances flown by these two birds after three hours of light is 94.47km
Learn more on distance graph here: https://brainly.com/question/27956440
#SPJ1
help
Use Structure Marika goes to dinner with some friends. She spends $x on dinner and leaves an 18% tip. Which expression can Marika use to find the total cost of the dinner, including the tip? Select all that apply.
Multiple select question.
cross out
A)
0.82x, because this gives the cost of the dinner without the tip.
cross out
B)
18x – 0.18x, because this gives how much Marika pays for the dinner.
cross out
C)
1.18x, because this gives the cost of the dinner and then 18% of that cost.
cross out
D)
x – 0.18x, because this multiplies the cost of the dinner and the tip by 18%.
cross out
E)
x + 0.18x, because this multiplies the cost by 100% and then by the tip percentage to give the total cost.
The expressions which Marika can use to find the total cost of the dinner, including the tip are:
1.18x, because this gives the cost of the dinner and then 18% of that cost.x + 0.18x, because this multiplies the cost by 100% and then by the tip percentage to give the total cost.What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
In order to write and solve this word problem, we would assign a variable (x) to the cost and then evaluate the resulting algebraic expression. Therefore, let x represent the cost.
Read more on expressions and total cost here: https://brainly.com/question/26133568
#SPJ1
What is 20•0 only wrong answers
Answer:37
Step-by-step explanation:
The distance between the point P(1, 4) and Q(4, 0) is ____.
Answer:
5
Step-by-step explanation:
The distance between any two points (x₁, y₁) and (x₂, y₂) is given by the distance formula:
[tex]d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}[/tex]
(x₁, y₁) = (1, 4) and (x₂, y₂) = (4, 0)
So distance is
[tex]d = \sqrt {(4 - 1)^2 + (0 - 4)^2}\\\\d = \sqrt {(3)^2 + (-4)^2}\\\\d = \sqrt {(3)^2 + (-4)^2}\\\\d = \sqrt {25}\\\\d = 5[/tex]
Ben borrowed 20,000 pesos from Glennand promised to pay him after 3 years with and interest of 5% compounded annually. On the 3rd year, exact date of his payment, Ben requested to extend his deadline for another 2 years. Glenn being a considerate man, agreed but under the new condition that from then on, the interest shall be 6% compounded semi-annually. Two years later, on exact deadline, Ben asked Glenn, again, for 1 more year. He also borrowed an additional 12,000 pesos with 2% interest compounded quarterly from Glenn. He promised that he will pay everything (principal and interest) on the exact deadline. How Much will Ben pay in total?
Answer:
pay him after 3 years with and interest of 5% compounded annually. On the 3rd year, exact date of his payment, Ben requested to extend his deadline for another 2 years. Glenn being a considerate man, agreed but under the new condition that from then on, the interest shall be 6% compounded semi-annually. Two years later, on exact deadline, Ben asked Glenn, again, for 1 more year.
Step-by-step explanation:
Find the coordinates of the midpoint M
C(3,-5)and D(7,9)
Answer:
(2,7)
Step-by-step explanation:
we use the midpoint formula:
(3+-5/2 , 7+9/2)
(4/2, 14/2)
(2,7)
Answer: M(5,2)
Step-by-step explanation:
C(3,-5) D(7,9) the midpoint M(x,y)=?
x₁=3 x₂=7 y₁=-5 y₂=9
[tex]\displaystyle\\M(x,y)=(\frac{3+7}{2} ,\frac{-5+9}{2})\\\\M(x,y)= (\frac{10}{2},\frac{4}{2})\\\\ M(x,y)=(5,2) \\\\Thus,\ M(5,2)[/tex]
Which expression is equivalent to quantity negative three and one fourth times d plus three fifths end quantity minus quantity two and seven eighths times d plus seven tenths end quantity?
A negative forty nine over 8 times d minus one tenth
B forty nine over eight times d minus one tenth
C negative three eighths times d minus one and three tenths
D negative three eighths times d minus one tenth
C is the correct answer...
Analyze the diagram below and answer the question that follows.
Which statement describes the shaded region in the Venn diagram?
Answer:
A
Step-by-step explanation:
The shaded region represents the intersection of L and N.
1 Which of the following relations is a function?
L(-2, 3), (2, -3), (4, -2), (-3,4)}
II ((-2, 2), (4, 3), (-3, 3), (-2, 4)}
III. {(2, -3), (3, -4), (3, -3), (-4,4)}
IV. ((-4, 3), (-3, -3), (2, -3), (-2,-4)}
Help me
Answer: I and lV
Step-by-step explanation:
to find function just look at the x values if they repeat it’s not a function.
Use the percentage method to calculate the (a) allowance amount, (b) taxable wage, and (c) amount withheld for federal income tax using the amount of income tax to be withheld information given (show work) Please help.
13.) Charlene Kirkwood manages a gift shop. She is single, earns $1243.49 each week, and claims 3 allowance.
According to this the amount of income tax to be withheld is $183
Please find the 3 following things:
a) Allowance amount
b) taxable wages
c) amount withheld for federal income tax
Answer:
The allowance amount is the product of the number of allowances and $ 63.46
Step-by-step explanation:
1x$ 63.46 = x$ 63.461×$63.46=$63.46
Write the number in Scientific notation form.
0.0755
Answer:
The scientific notation will be 7.55 x 10^-2
Step-by-step explanation:
You need to make the number at least 1 but below 10 so you would move the decimal over 2 places to the right
Hope this helps :)
Answer:
7.55 x 10⁻²
Step-by-step explanation:
0.0755
As we move the decimal two spaces to the right it will be a negative integer.
7.55 x 10⁻²
Look at attached image.
Zendaya has $540 to spend at a bicycle store for some new gear
and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $269.88.
She buys 4 bicycle reflectors for $10.57 each and a pair of
bike gloves for $17.76.
She plans to spend some or all of the money she has left to
buy new biking outfits for $65.65 each.
Write and solve an inequality which can be used to determine
x, the number of outfits Zendaya can purchase while staying within her budget.
The inequality to determine the number of outfits Zendaya can purchase while staying within her budget is
269.88 + 4*10.57 + 17.76 + 65.65x ≤ 540
And the number of outfits Zendaya can buy is 3 .
According to the question we have been given that the
Total money Zendaya has = $540
Cost of new bicycle = $269.88
Cost of bicycle reflectors = $10.57
Cost of bike gloves = $17.76
Cost of biking outfits = $65.65
Let the number of outfits Zendaya purchases be x.
The inequality to determine the number of outfits Zendaya can purchase while staying within her budget is
269.88 + 4*10.57 + 17.76 + 65.65x ≤ 540
Now solving this inequality for x we get
269.88 + 42.28 + 17.76 + 65.65x = 540
329.92 + 65.65x = 540
65.65x = 210.08
x = 3.2 ≈ 3
Thus number of outfits Zendaya can buy is 3
learn more about inequalities here : https://brainly.com/question/17448505
#SPJ9
Find all of the points of the form (x,-1) which are 3 units from the point (-6, 1).
(x, y) =
(smaller x-value)
(x, y) =
(larger x-value)
Answer:
The values of x are -6 + √5 and -6 - √5.
Step-by-step explanation:
It is given that we need to find all of the points of the form (x,-1) which are 3 units from the point (-6, 1).
Now, let us suppose that these points are in 2D coordinate system such as;
=> (x1, y1) = (-6, -1)
and let us suppose that the other point is;
=> (x2, y2) = (x, 1)
Further, the distance between both these points them is 3 units and we can write this as;
=> d = √(x1 - x2)² + (y1 - y2)²
=> 3 = √(-6 - x)² + (-1 - 1)²
After squaring both the sides;
=> 9 = 36 + x² + 12x + 4
=> 9 = x² + 12x + 40
On rearranging the equation;
=> x² + 12x + 31 = 0
Now, this is a quadratic equation of the form ax² + bx + c = 0 in which;
=> x = -b ± √(b² - 4ac) / 2a
After putting values in this for obtaining the value of x on comparing we get;
=> x = -12 ± √(12² - 4×31) / 2
=> x = -12 ± √(144 - 124) / 2
=> x = -12 ± √20 / 2
=> x = -12 ± 2√5 / 2
=> x = 2(-6 ± √5) / 2
=> x = -6 ± √5
Therefore, the values of x are -6 + √5 and -6 - √5.
To know more about this topic, click here:
https://brainly.com/question/17177510
#SPJ9
LESSON 7.5 HELP PLEASE .
Find the missing side. Round to the nearest tenth.
By using trigonometric relations, we can see that the hypotenuse of the right triangle measures 30.8 units.
How to find the missing side on the right triangle?
Here we will need to use trigonometric relations. We want to find the value of x, which is the hypotenuse of the right triangle.
We know the measure of one angle, and the adjacent cathetus to said angle, the measures are:
angle = 65°
Cathetus = 13 units.
Now we can sue the trigonometric relation:
cos(a) = (adjacent cathetus)/(hypotenuse)
Replacing what we know, we can rewrite that as:
cos(65°) = 13/x
Now we just need to solve the equation for x, we will get:
x = 13/cos(65°) = 30.8 units.
We conclude that the hypotenuse of the right triangle measures 30.8 units.
If you want to learn more about right triangles:
https://brainly.com/question/2217700
#SPJ1