Answer:
80 feet per second
Step-by-step explanation: At 55 mph, your vehicle is traveling at about 80 feet per second. Feet-per-second is determined by multiplying speed in miles-per-hour by 1.47 (55 mph x 1.47 = 80 feet per second.)
Leroy's total job benefits were $50,150 last year. His total job expenses for traveling and for professional development for the year were $3,500. Which of the following represents his total employment compensation?
a.
$46,650
b.
$47,650
c.
$50,150
d.
$53,650
Please select the best answer from the choices provided
A
B
C
D
Answer:
D. 53,650
50,150+3,500=53,650
Consider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36 Given ⇒ 3(x − 4) + 5x = 9x − 36 Step 1 ⇒ 3x − 12 + 5x = 9x − 36 Step 2 ⇒ 3x + 5x − 12 = 9x − 36 Step 3 ⇒ 8x − 12 = 9x − 36 Step 4 ⇒ 8x − 8x − 12 = 9x − 8x − 36 Step 5 ⇒ 0 − 12 = x − 36 Step 6 ⇒ −12 = x − 36 Step 7 ⇒ −12 + 36 = x − 36 + 36 Step 8 ⇒ 24 = x + 0 Step 9 ⇒ 24 = x Which property yields Step 2? A) Additive Inverse Property B) Additive Identity Property C) Addition Property of Equality D) Commutative Property of Addition
Answer:
Commutative Property of Addition
Step-by-step explanation:
3(x − 4) + 5x = 9x − 36
3x − 12 + 5x = 9x − 36 Distribute
3x + 5x − 12 = 9x − 36 Commutative Property of Addition
The cost price of a box and a pen is Rs 80 The box is sold at 10% profit and the pen is sold at 20% loss. If the selling price of the box is Rs 28 more than that of the pen, calculate the profit or loss percent in a whole.
Answer:
61.84%
Step-by-step explanation:
Let the cost of the box be x. Since the price of the box and the pen is Rs 80, the pen's price can be represented as 80 - x. The box is sold at a ten percent profit, and an added ten percent is equal to 1.1. Therefore, the price the box sells at is 1.1(x). A 20% loss is the same a keeping 80% or multiplying by 0.8. This means the pen sold at 0.8(80 - x). Now, we are given the box went for Rs 28 more than the pen, so we can create an equation:
1.1x = 0.8(80 - x) + 28
We can simplify and solve:
1.1x = 64 - 0.8x + 28
1.9x = 92
x = 92/1.9
x = 920/19
The cost of the box after the increase would be 1.1(920/19) and the pen would be 0.8(80 - 920/19).
The sum of these two can be written as a percent x of 80.
80x = 0.8(80 - 920/19) + 1.1(920/19)
80x = 64 - 0.8(920/19) + 1.1(920/9)
80x = 64 - 0.3(920/19)
80x = 64 - 276/19
80x = 940/19
x = 940/1520
x = 0.6184
This is 61.84%
find product of :(2x-y)(2x+3y).
Answer: 4x² + 4xy - 3y²
Concept:
When encountering questions that ask for simplifying algebraic expressions, using the FOIL method would be easier:
First, which means multiplying the first terms together;Outer, which means that we multiply the outermost terms when the binomials are placed side by side;Inner, which means multiply the innermost terms together;Last, which means that we multiply the last term in each binomial together.Solve:
Given
(2x - y) (2x + 3y)
Expand parentheses and apply the FOIL method
=4x² + 6xy - 2xy - 3y²
Combine like terms
=4x² + (6xy - 2xy) - 3y²
=[tex]\boxed{4x^2+4xy-3y^2}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
An artist mixes 1.6 ounces of green paint with 1.85 ounces of white paint. She then divides the paint into 6 equal parts.
How much paint is in each part?
Answer:
0.575 ounce
Step-by-step explanation:
Total paint
= Green paint + white paint
= 1.6 ounces + 1.85 ounces
= 3.45 ounces
Paint in each part if divided into 6 parts equally
= 3.45 ounces/6
= 345 ounces/600
= 23/40
= 0.575 ounce
The amount of green and white paint in each part is 0.27 ounces and 0.31 ounces respectively.
What are the ratio and proportion?The ratio is the division of the two numbers.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given that,
Amount of green paint = 1.6 ounces
Amount of white paint = 1.85 ounces
Total paint = 1.6 + 1.85 = 3.45
The ratio of green paint to total paint = 1.6/3.45 = 0.46
Now, this ratio must be maintained in each part after dividing it into 6 equal parts.
Total paint in each section after dividing = (1.6 + 1.85)/6 = 0.58
With the same ratio,
Green paint / Total paint = 0.46
Green paint / 0.58 = 0.46
Green paint = 0.27 ounces
White paint = total paint - green paint
White paint = 0.58 - 0.27 = 0.31 ounces
Hence "The amount of green and white paint in each part is 0.27 ounces and 0.31 ounces respectively".
For more information about ratios and proportions,
brainly.com/question/26974513
#SPJ5
please help its urgent
Step-by-step explanation:
tn=3n+8
t1=3*1+8
=3+8
=11
t7=3*7+8
=21+8
=29
t14=3*14+8
=42+8
=50
Cuanto es 2/9 - 4/15
Answer:
Step-by-step explanation:
Common denominator is 45
(45/9)*2 = 10 and (45/15)*4 = 12
10/45 - 12/45 = - 2/45
2 [3 (7-5) + 4 (8 + 2)]
Answer:
92
Step-by-step explanation:
2 [3 (7-5) + 4 (8 + 2)]
= 2 [3 × 2 + 4 × 10)]
= 2 [ 6 + 40 ]
= 2 × 46
= 92
Solve each for X. Show your work
1). 1/2x - 1/4 = 3/5x + 2
2). 10-1/2x = 6 + 3x
Answer:
1). [tex]x = \frac{8}{7} [/tex]
2). [tex]x = - \frac{45}{2} [/tex]
Step-by-step explanation:
1) [tex]10 - \frac{1}{2} x = 6 + 3x[/tex]
[tex]20 - x = 12 + 6x[/tex]
[tex]20 - x - 6x = 12 + 6x - 6x[/tex]
[tex]20 - x - 6x = 12[/tex]
[tex] - x - 6x = 12 - 20[/tex]
[tex] - 7x = 12 - 20[/tex]
[tex] - 7x = - 8[/tex]
[tex]x = \frac{8}{7} [/tex]
•■•■•■•■•■•■•■•■•
2) [tex]x = - \frac{45}{2} [/tex]
[tex] \frac{1}{2} x - \frac{1}{4} = \frac{3}{5} x + 2[/tex]
[tex]20( \frac{1}{2} x - \frac{1}{4} ) = 20( \frac{3}{5} x + 2)[/tex]
[tex]20 \times \frac{1}{2} x - 20 \times \frac{1}{4} = 20( \frac{3}{5} x + 2)[/tex]
[tex]10x - 20 \times \frac{1}{4} = 20 \times \frac{3}{5} x + 20 \times 2[/tex]
[tex]10x - 5 = 20 \times \frac{3}{5} x + 20 \times 2[/tex]
[tex]10x - 5 = 4 \times 3x + 20 \times 2[/tex]
[tex]10x - 5 = 4 \times 3x + 40[/tex]
[tex]10x - 5 - 12x = 40[/tex]
[tex]10x - 12x = 40 + 5[/tex]
[tex] - 2x = 40 - 5[/tex]
[tex] - 2x = 45[/tex]
[tex]x = - \frac{45}{2} [/tex]
4
Select the correct answer.
Identify the system of linear equations from the tables of values given below.
х
у
х
у
.
0
2
0
1
-4
0
-2
0
6
5
-4
-1
-6
-1
2.
2.
Answer:
x 3:7 y 5:9 :)
Step-by-step explanation:
What is the area of this figure?
5 yd
2 yd
2 yd
5 yd
3 yd
5 yd
4 yd
4 yd
Write your answer using decimals, if necessary.
square yards
PLS IT 11 points
the answer is 47yd²
hope it help n please give me brain.. thanks
A number is divided by 2, and then the quotient is increased by 8. The result is 33.
Answer:
33
Step-by-step explanation:
please let me know if I’m correct
hope this helps
Can someone help me with my homework I don’t understand it
Answer:
1 : 14
hard to see image (try using screen shots)
but.... 2 inches to 4 feet would be
2 : 48 which is
1 : 14
Step-by-step explanation:
I need workings pls.and I want you to understand my questions
1.)log base 16 0.25
2.)log base 7 ¹/7
3.)log base 4 ⅛
Answer:
-1/2 , -1, -3/2
Step-by-step explanation:
1.)log base 16 1/4
log base 16 [tex]4 ^{-1 }[/tex] =x
[tex]16 ^{x} = 1/4[/tex]
x = -1/2
2.)log base 7 ¹/7
log base 7 [tex]7^{-1}[/tex] = x
7^x = 7^-1
x = -1
3.)log base 4 ⅛
4^x = 1/8
[tex]2^{2x} = 2^{-3}[/tex]
2x = -3
x = -3/2
Answer:
Step-by-step explanation:
1. Let a = log16 0.25, then:
0.25 = 16 ^ a = 16^-0.5
So the answer is -0.5.
2. log7 1/7
1/7 = 7^-1
Answer is -1.
3. log4 1/8
1/8 = 4^(-1.5)
Answer is -1.5
Write √ 3 x √ 6 in the form b √2 where b is an integer.
Answer:
Step-by-step explanation:
The catch here is to break up sqrt(6) into 2 parts that use primes to define sqrt(6)
sqrt(3)* sqrt(6)
sqrt(6) can be broken up into sqrt(2*3) which equals sqrt(2)*sqrt(3)
sqrt(3)*sqrt(2)(sqrt(3)
sqrt(3)*sqrt(3)*sqrt(2)
3*sqrt(2)
[tex]\frac{-3+-6}{3}[/tex]
whats the answer to that?
Answer:
-3
Step-by-step explanation:
A postive and a negative becomes a negative.
So -3 + - 6 becomes
-3 - 6
= -9
The -9 is over 3, which is 9/3 negated, so 3 negated which is -3.
is -6.146 contued a rational or irrational
explian pls
Step-by-step explanation:
cannot be written as a fraction so its irrational
F=ma find out f if m-26 and a-3 please help
Answer:
78
Step-by-step explanation:
26 + 26 + 26 = 78
I need help ASAP IM IN SCHOOL!!!
Answer:
-4, -9/4, 1/2, sqrt5, 3.7
what is trigonometry???????
Answer:
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.
Step-by-step explanation:
Answer:
trigonometry is the branch of mathematics that studies the relationship between angles and sides of a triangle.
I don’t get this how do these things work please explain
Answer:
Ok, so:
-The number of people who like tea are represented in the first column.
-The number of people who dislike tea are represented in the second column.
-The number of people who like coffee are represented in the first row.
-The number of people who dislike coffee are represented in the second row.
This works like a multiplication chart:
People who like tea and coffee are represented in the top left square. People who dislike tea and coffee are represented in the box that coordinates to T' and C' (If you find T' and C' and run your fingers along the column/row until they run into each other, you'll find it.) The same is true for other combinations.
At the bottom of the first column is the total number of people who like tea. At the right-most part of the first row, is the total number of people who like coffee.
(52 people like tea, 80 people were surveyed)
I hope this helps you understand, please ask any clarifying questions you need! : )
Mark is mixing different color paints for a mural
he has been asked to paint in the school
gymnasium. To create the color purple he wants,
Mark mixes r gallons of red paint with b gallons of
blue paint. Red paint costs $25 per gallon and
blue paint costs $22 per gallon. He also needs $65
to spend on paint supplies.
Mark knows the cost of his paint and supplies can
be found using the expression
Answer:
25r+22b+65s
Step-by-step explanation:
ok so like uhh yea
If 8 ounces of cereal cost $2.99, then 16 ounces of cereal cost $5.98
Picture shown!
Complete the remainder of the table for the given function rule:
y=-x-9
x | -2 -1 0 2
y |-7 [?] [ ?] [? ] [? ]
Step-by-step explanation:
-8
-9
-10
-11
just subtituted the remaining values of x.
Answer:
x= -1 —> y= –8
x=0 —> y= –9
x=1—> y= –10
x=2—>y= —11
Step-by-step explanation:
x= -1 —>y= -(-1)-9= +1-9 = –8
x=0 —> y= -(0)-9= –9
x=1—> y= -(1)-9= -1-9= –10
x=2—>y= -(2)-9 = —11
I hope I helped you^_^
The sum of three numbers is 124. The second is 10 less than the first. The third number is 4 times the second. What are the numbers?
Step-by-step explanation:
numbers
first = X
second = (x-10)
Third = 4(x-10)
x + (x-10) + 4(x-10) = 124
2x -10 + 4x-40 =124
6x - 50 = 124
6x = 124 + 50
6x = 174
x= 29
therefore the ;
first number = 29
second = (x-10) = 29-10 = 19
third= 4(x-10) = 4(29-10)= 76
ok this is the last one i swear , i’m so bad at finding mistakes
Answer:
there is no mistake
Step-by-step explanation:
this seems weird ik but i dont think there is even a mistake? the answer is definitely -7/2 or -3.5
if M={a,b,c,d} and N={c,b,e,f},find the value of M-N
Answer:
M-N= {a,d}
Step-by-step explanation:
subtract the common elements
(a, d)
(
Step-by-step explanation:
because a and d are not in N ,
Solve for h in the equation 15-2h=6
Answer:
h=4.5
Step-by-step explanation:
15-2h=6 Get rid of any constants of the side of the variable.
-15 -15
-2h=-9 Divide -2 from both sides to isolate h.
/-2 /-2
h=4.5
Hope this helped you out! Have a wonderful day :)
PLEASE HELP GIVING BRAINIEST AWNSER WORTH 20 POINTS
Write an algebraic expression that has two different variables
and two different operations: addition, subtraction, multiplication, or division. Then write
a real world problem that uses the expression.
a real world problem that uses the expression
Hi, I'm happy to help!
First, we need to use two variables. Let's use x and y for this example.
Let's use a Multiplication and Addition operation for our word problem.
Our expression can be something like this.
3x+y
Now, we form this into a word problem.
Joe and Jim are cousins. They are trying to see who can find the most apples. Joe picks x apples. Jim picks 3 times as many as Joe, and picks y extra. How many apples did Jim pick? Write and solve an expression representing the situation. x=10 and y=3
Here's how you would solve:
3x+y
(3×10)+3
30+3
33
Joe picked 33 apples.
I hope this was helpful, keep learning! :D
…..Help 30 points ……………
Answer:
answers below
Step-by-step explanation:
1. 21.50n (Print it)
2. 70+18n (Top Print)
3. This one is more complicated. First, you find out the cost from each store, by inserting 30 in place of n. (1. =645), (2.=610). Then, you subtract 610 from 645, which gets your difference to 35$.
4. There is an error in the wording, but the answer should be something along the lines of this. "Bill would need to buy 2 fewer shirts from Print It than from Top Print for Print it to be cheaper."