Terrell wants to drive his car at a speed of 50 miles per hour for 2.75 hours. His car has a fuel efficiency of 25 miles per gallon. How many gallons of fuel does Terrell need for his journey?
Answer:
5.5
Step-by-step explanation:
Harry works for a major sporting goods distributor. He earns a base salary of $30,000 per year and 5% commission on his sales. How much will Harry need to sell to earn $50,000 by the end of the year?
He needs to sell $400,000 worth of goods.
Base salary = $30000
Percent Commission = 5%
Let the amount of goods that need to be sold be represented by x
Therefore, the equation will be:
30000 + (5% × x) = 50000
30000 + (0.05 × x) = 50000
30000 + 0.05x = 50000
Collect like terms
0.05x = 50000 - 30000
0.05x = 20000
x = 20000/0.05
x = 400000
Therefore, he needs to sell $400,000 worth of goods.
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Which of these is a step in constructing an inscribed Equilateral triangle using technology?
A- Construct segment DB, segment BC, segment CE, segment EG, segment GI, and segment ID.
B- Create circle A with point B on the original circle.
C- Create circle E, which passes through points A and C.
D- Draw point E anywhere on segment DB.
Answer:
The answer is B,A
Step-by-step explanation:
In geometry, an equilateral triangle is a triangle in which all three sides have the same length
How many perfect cubes divide evenly into 13, 824?
Lexi had planted seeds in 3/5 of the garden. She used 1/2 pound of seeds. How many pounds will she use for the entire garden?
Answer:
Lexi will use [tex]\frac{5}{6}[/tex] pounds of seeds.
Step-by-step explanation:
Lexi has planted seeds in [tex]\frac{3}{5}[/tex] of the garden. We know that to plant that part she used [tex]\frac{1}{2}[/tex] pound of seeds.
The entire garden is [tex]\frac{5}{5}=1[/tex].
Then if you multiply [tex]\frac{1}{2}[/tex] in [tex]\frac{5}{5}=1[/tex] and then divide the result in [tex]\frac{3}{5}[/tex] you will obtain how many pounds will she use for the entire garden. (It's a rule of three)
[tex](1).\frac{1}{2} :\frac{3}{5}=\frac{1}{2} :\frac{3}{5}=\frac{5}{2.3}=\frac{5}{6}[/tex]
Lexi will use [tex]\frac{5}{6}[/tex] pounds of seeds.
A bag contains 6 blue marbles, 10 red marbles, and 9 green marbles. If two marbles are drawn at random without replacement, what is the probability that two red marbles are drawn?
Show all work to receive credit
What is m
Two pages that faces each other in a book have 333 as the sum of their page numbers what is the number of pages that come first
How to find the solutions for a quadratic inequality?
Tamara earns her living as a salary plus commission employee. Her annual salary is $48,000, and she earns 4% commission on all sales she makes. If Tamara wants to make a total of $6,000 this month, how much in sales does she need to have?
Answer:
$5,000 in sales
Step-by-step explanation:
dividing the annual salary by 12 to find how much she makes in a month:
48,000/12 = $4,000
If she wants to make $6,000 this month, she needs
6,000 - 4,000 = $2,000 in comissions
$2,000 is the 4% of how much she made in sales.
denoting the total of sales by x:
4%x = 2,000
---> 0.04x = 2,000
this makes x = 2,000/0.04
--> x = $50,000
So to get a moth salary of $6,000 she needs to have $5,000 in sales
How does the graph of g(x) = 1/x+4-6 compare to the graph of the parent function f(x)=1/x ?
We are given a parent function f(x) as:
[tex]f(x)=\dfrac{1}{x}[/tex]
and the transformed function g(x) is given by:
[tex]g(x)=\dfrac{1}{x+4}-6[/tex]
We know that the transformation of the type:
f(x) → f(x+a)
is either a shift a units to the left or to the right depending whether a is positive or negative respectively.
Also, the transformation of the type:
f(x) → f(x)+a
is the shift of the function f(x) either upward or downward depending on whether x is positive or negative respectively.
Here the function g(x) is:
[tex]g(x)=f(x+4)-6[/tex]
This means that the function g(x) is a shift of the function f(x) 4 units to the left and then it is translated 6 units downward.
Also we may see by the graph.
Divide. (5 1/4)÷(−2 1/2) Enter your answer as a mixed number, in simplified form, in the box.
Answer: [tex]-2\dfrac{1}{10}[/tex]
Step-by-step explanation:
The given expression to simplify : [tex]5\dfrac{1}{4}\div-2\dfrac{1}{2}[/tex] (i)
First we convert mixed fraction into improper fraction as :
[tex]5\dfrac{1}{4}=\dfrac{5\times4+1}{4}=\dfrac{20+1}{4}=\dfrac{21}{4}[/tex]
[tex]-2\dfrac{1}{2}=-\dfrac{2\times2+1}{2}=-\dfrac{4+1}{2}=\dfrac{-5}{2}[/tex]
Now , put them in (i) , we get
[tex]\dfrac{21}{4}\div\dfrac{-5}{2}[/tex]
[tex]=\dfrac{21}{4}\times\dfrac{-2}{5}=\dfrac{-21}{10}=-\dfrac{20+1}{10}=-2\dfrac{1}{10}[/tex]
Hence, the required answer is [tex]-2\dfrac{1}{10}[/tex].
Convert 4/6 into a fraction with a denominator of 24
QUICKK EXPERTS/ACE OR ANYONE WHO WANTS TO HELP!!
from the problem m = 1/2
point slope =
y -2 = 1/2(x+8)
Jena and matt, working together, can mow the lawn in 44 hours. working alone, matt takes four times as long as jena. how long does it take jena to mow the lawn alone?
Find the volume of a rectangular prism with the following dimensions.
a length of 11 cm, a width of 4.2 cm, and a height of 7.1 cm
Answer:
441 cm
Step-by-step explanation:
If a circle has a diameter whose endpoints are (-5, 8) and (5, -8), then the circle has its center at the origin. True False
Answer:true
Step-by-step explanation:
Use the formula to estimate the temperature when n = 20 chirps/min. Round to the nearest whole number, if necessary.
I have two dice, one red and one blue. when the two dice are rolled, the probability that the number showing on the red die is larger than the number showing on the blue die si
The shorter leg of a 30°-60°-90° triangle is 6. what is the length of the hypotenuse? 12 description
Tom has $10 that he wants to use to buy pens and pencils. However, he does not want to buy more pens than pencils. A pen costs $3, and a pencil costs $1. Which graph represents this scenario? (Here, x represents the number of pens and y the number of pencils.)
A)
B)
C)
D)
E)
Answer:
for plato it is graph A it goes with the first answers graph
Step-by-step explanation:
Can anyone figure this out for me?
3^4 = 3*3*3*3 = 81
3^2 = 3*3 =9
81/9 = 9
Answer is B. 9
A gumball machine contains 23 green gumballs, 52 red gumballs, 34 blue gumballs,61 yellow gumballs, and 30 pink gumballs. What percentage of the gumballs are red?
please help me!
Daisy is making an abstract painting with two triangles. The dimensions of the painting are shown below:
The total area of the two triangles is _____ square inches.
area is 8*10 = 80 ( Area of square formed by dotted line)
1/2 *4 * 10 = 20 (Area of small triangle formed by dotted line)
20 +80 = 100 square inches
On a quiz, students were awarded a certain number of points for a correct answer and penalized a certain number of points for an incorrect answer. If a student answered all the questions on the quiz and had c correct answers, her score on the quiz was 25c – 10(15 – c). How many questions were on the quiz?
Show that the equation 2xcubed + 4x = 3 has a solution between 0 and 1
Let y be inversely proportional to x. if x doubles, what happens to y?
Final answer:
If x doubles and y is inversely proportional to x, then y will become half of its original value, as per the inverse proportionality relation y = k/x.
Explanation:
When variables y and x are inversely proportional, this means that as one value increases, the other value decreases. The relationship between y and x in this case is represented by the equation y = k/x, where k is the proportionality constant. If the value of x doubles, looking at the relationship expressed by the inverse proportionality equation, the value of y will decrease by half.
So, if x becomes 2x, then y becomes k/(2x), which is half the value of the original y if we assume that k is constant. This is reflective of the more-less relationship inherent to inverse proportionality, where increased values of one variable lead to decreased values of the other.
I can't seem to understand the subject of converting scientific notation.
2.077×10^-4
Please explain how to solve this problem step by step.
~Thank you ♥︎
please help asappppppppppppppppppppppppppppp
ALGEBRA 2- Which property of addition is shown below?
If x = 1 + 2i and y = –1 – 2i, then x + y = 0.
A. commutative property
B identity property
C associative property
D inverse property
Answer:
D inverse property
Step-by-step explanation:
x=1+2i
y=-1-2i
Both x and y are complex numbers with both real and imaginary parts.
x+y = (1+2i) + (-1-2i)
= 1 + 2i - 1 - 2i
= (1 - 1) + (2i-2i)
= 0 + 0 = 0
Since the two given complex numbers add up to 0, this means that each number is the additive inverse of the other.
So x is the inverse of y and y is the inverse of x.
Among the given options, option D , namely, inverse property is the correct one.