1 Remove parentheses.
3d-2=d+5
2 Add 22 to both sides.
3d=d+5+2
3 Simplify d+5+2 to d+7.
3d=d+7
4 Subtract d from both sides.
3d-d=7
5 Simplify 3d-d to 2d.
2d=7
6 Divide both sides by 2.
7/2=d
7 Flip sides.
d=7/2
(Optional decimal form)
d=3.5
So 7/2 or 3.5
Consider vectors u = ⟨2, 1⟩ and v = ⟨4, –1⟩ with the angle between them equal to 40°. What are the scalar projections uv and vu?
a) uv = 1.33 and vu = 1.33
b) uv = 1.33 and vu = 3.16
c) uv = 1.71 and vu = 1.33
d) uv = 1.71 and vu = 3.16
Answer:
D. uv = 1.71 and vu = 3.16
Step-by-step explanation:
The scalar projections are uv = 1.71 and vu = 3.16
The correct option is (D)
What is meant by scalar projection?The definition of scalar projection is the length of the vector projection.
Given: u = ⟨2, 1⟩, = ⟨4, –1⟩, and θ = 40°
Proj u_v = |u| cosθ
= 2.25 * cos 40
= 2.25 * 0.7660
=1.72
and, Proj v_u = |v| cosθ
= 4.123 * cos 40
= 4.123 * 0.7660
= 3.16
Learn more about this concept here:
https://brainly.com/question/19938443
#SPJ2
A student earned a grade of 70% on a math test that had 20 problems. How many problems on this test did the student answer correctly?
9514 1404 393
Answer:
14
Step-by-step explanation:
Assuming the grade is proportional to the number of problems answered, we have ...
a/20 = 70/100
a = 20(0.70) = 14 . . . . multiply by 20
The student answered 14 problems correctly.
What is the first step in solving this expression? 28 - 11 + 6 ● 3 + 5
Thanks,
Answer:
First Step of solving this expression: Multiply
Answer for the expression: 40
Step-by-step explanation:
To find the first step you need to follow the order of operation
Parenthesis
Exponents
Multiplication and Division
Addition and Subtraction
Since there are not Parenthesis or Exponents then you may skip that step but there is a multiplication sign so the first step is Multiplication
To solve multiply 6 and 3
Which is 18
Now the expression looks like this:
28-11+18+5
Now simplify from left to right:
28-11=17
17+18=35
35+5=40
Hope this helps!
Answer: Multiply 6*3, then add 18+5, then subtract 28-11, then add them:
17 + 23 = 40!
Step-by-step explanation: PEMDAS:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
please help me, i don’t know how to do this:)
x=12, y=[tex]6\sqrt{2}[/tex]
This triangle is a special right triangle, a 45-45-90 triangle. In this format, the the hypotenuse will be [tex]x\sqrt{2}[/tex], while the side lengths would be x. With this in mind we can already figure out y is [tex]6\sqrt{2}[/tex]. The hypotenuse would be [tex](6\sqrt{2} )(\sqrt{2} )=12[/tex]
1.4 – ( ___ ) = 2
Pls hurry plz
Answer: The answer is –0.6, wait a second, did you duplicate your question?
Step-by-step explanation:
3x + 2 = 3x + 2 pls help me I do not understand
Answer:
3x+2=3x+2 because, you have to combine your like terms, so here is an example..
3x + 2
there are no like terms to combine here so the problem stays how it was, so there saying 3x+2 = 3x+2 because they're stating the problem then saying that the answer is the same because there is no like terms her to combine.
Hope this helps,
write an equivalent expression for 6x + 18.
Answer:
6x + 18 = 6x + 6 × 3 = 6 ( x + 3 )
Step-by-step explanation:
6x + 18
= 6x + 6 × 3
= 6 ( x + 3 )
The selling price for a used car at Smith's Auto Market was $17,700. Smith marks up the buying price by 18%. What was the buying price of the car?
$
Answer:
$20,886
Step-by-step explanation:
17,700/100=3186
3186+17,700=20,886
HELP NEED THIS BADLY five ninths minus two sixths correct answer=branliest
Answer:
0.222 as a decimal
111/500 as a fraction
22.2 as a %
what is 62 1/2% as a decimal?
Answer:
62.50 or 0.625
Step-by-step explanation:
The decimal form of [tex]62\frac{1}{2}[/tex] percent is 0.625.
The given percentage is [tex]62\frac{1}{2}[/tex] %
This fraction is in a mixed fraction.
Convert it into an improper fraction
So,
[tex]62\frac{1}{2}[/tex] % = (62x2 + 1)/2
= (124+1)/2
= 125/2 %
Now divide 125 by 2 to get the decimal form
2) 125 ( 62.5
- 12
_____
x 5
- 4
______________
1 0
- 1 0
_________
x
Therefore,
[tex]62\frac{1}{2}[/tex] % = 62.5 %
We can write,
62.5 % = 62.5/100
= 0.625
Hence the required decimal form is 0.625.
Learn more about the percent visit:
https://brainly.com/question/24877689
#SPJ6
Plz help this is worth 30 points
Answer:
Choice A
Step-by-step explanation:
Suppose a triangle with angles measuring 30°, 35°, and 115º is translated 1 unit left and 1 unit up on a coordinate grid.
Which would be the measure of an angle of the resulting triangle?
25°
35°
55°
65°
Answer:
35
Step-by-step explanation:
The triangle just moved. To translate an object doesn't change anything, it just changes the positioning.
Ex. Moving a box 1 foot forward and 1 foot to the left. I did nothing to the box, therefore the answer is 35 degrees since that is the only question there
Ian has 3/4 of an hour to work on math problems before he leaves for track practice each problem takes 1/12 of an hour how many problems will ian be able to finish before leaving
Answer:
9
Step-by-step explanation:
Since Ian has 3/4 of an hour that is 45 minutes left till practice and it takes 5 minutes per question so he will have 9 questions finished
9514 1404 393
Answer:
9 problems
Step-by-step explanation:
The number can be found by dividing the time by the rate.
(3/4 h)/(1/12 problems/h) = (9/12)/(1/12) problems = 9/1 problems
= 9 problems
Ian can finish 9 problems before leaving.
3 x 3 = 9 x 3 = 27 x 3 = ____x 3
Will Give Brainliest
The diagram shows a triangle.
3a
95°
34°
What is the value of a?
Each deli sandwhiches made uses 8/8 pound of roast beef.Marisa started with 5 pounds of roast beef and now has 2 3/4 pounds left. How many del sandwhiches did she make
Answer:
Marisa has made 6 sandwiches.
Step-by-step explanation:
The pounds of roast beef required to make each sandwiches is [tex]\frac{3}{8}[/tex], and not [tex]\frac{8}{8}[/tex] as erroneously typed in the question.
Given that each deli sandwiches made, uses [tex]\frac{3}{8}[/tex] pounds of roast beef.
Marisa started with 5 pounds, and had 2[tex]\frac{3}{4}[/tex] pounds left.
Thus,
pounds of roast beef used = 5 - 2[tex]\frac{3}{4}[/tex]
= 5 - [tex]\frac{11}{4}[/tex]
= [tex]\frac{20 - 11}{4}[/tex]
= [tex]\frac{9}{4}[/tex]
= 2[tex]\frac{1}{4}[/tex]
Marisa had used 2[tex]\frac{1}{4}[/tex] pounds of roast beef. So that;
the number of del sandwiches made = 2[tex]\frac{1}{4}[/tex] ÷ [tex]\frac{3}{8}[/tex]
= [tex]\frac{9}{4}[/tex] ÷ [tex]\frac{3}{8}[/tex]
= 6
Therefore, the number of sandwiches made by Marisa is 6.
Evaluate the expression when x = 9.2 and y = 3.4.
5xy
please answer i need it quick
Answer:
Step-by-step explanation:
3x^4+2x^3
Beth cooks 2 pounds of pasta. She serves 5 pound of pasta on each plate.
What is the total number of plates Beth serves with the 2 pounds of pasta?
Answer:
2/5
Step-by-step explanation:
Lilian makes $10.50 per hour and earned $252 last week. The equation 252 = 10.50h can be used to determine how many hours Lilian worked. How many hours did lilian work last week ? answer please !
Lilian worked 24 hours last week
A student solves a quadratic and gets solutions of x=-7 and x=8. Could the discriminant of this equation equal -188?
Answer:
7
Step-by-step explanation:
Find the measure of each interior angle of A ABC, where m m Fill in the blanks: m ,,m ____,m
need answers asap rnn
Answer: of each shape? 3 & 4?
Step-by-step explanation:
the sum of renting bowling shoes for $6 and $3 per game
Answer:
9
Step-by-step explanation: 6+3=9
The rent is $9
Mrs. Malone has $75 to buy volleyball for lincoln Middle School. How many can she buy at $9 each?
Answer:
8porque9x8da72
Step-by-step explanation:
a
Answer:
Step-by-step explanation:
To find the number of volleyballs she can buy all you have to do is divide 75 by 9 which gives you 8.3333333 So she can buy approximately 8 volleyballs with 3 dollars to spare. You could also just multiply 9 by 8 to check your answer wich gives you 72 dollars
can a pentagon have interior angles that measure 120°, 105°, 65°, and 95°? explain.
Answer:
No
Step-by-step explanation:
because firstly, pentagon is five sided figure and secondly, the sum of interior angled of a pentagon is 540°
No, the given angles can not be the measure of the pentagon angles.
What is the pentagon?A pentagon is a polygon having five sides connected to each other to form a closed figure. The sum of the angles of the pentagon is equal to 540 degrees.
Given angles are 120°, 105°, 65°, and 95°. Here as we know that the pentagon is a polygon having five sides. The number of angles formed by all the sides of the pentagon is also five.
Here we have only four angles that are 120°, 105°, 65°, and 95°. But to form a pentagon there must be five angles and the sum of the angles should be 540 degrees.
Therefore, the given angles can not be the measure of the pentagon angles.
To know more about the pentagon follow
https://brainly.com/question/224658
#SPJ2
Ok so I’m getting braces in a week and I’m pretty scared about it. But however, does it hurt when they put them in?
Answer:
Ok so I've had braces and it doesn't really hurt getting put in but it does hurt when they tighten them but you have nothing to worry about :)
Step-by-step explanation:
Answer:
They don't hurt when they put them in however you will feel mild soreness and discomfort as your mouth adjusts to them as with anything, for example, fillings, they feel gritty and uncomfortable at first but your mouth adjusts to it.
" There will be mild soreness or discomfort after the orthodontic wire is engaged into the newly placed brackets, which may last for a few days to a week."
I know its can be scary at first but its for the health of your teeth and not everyone gets that privilege, just make sure to take care of them properly.
Step-by-step explanation:
As delivery truck drove an average of 42 mph it took two hours and 15 minutes to travel between two towns what is the distance between the two towns
Answer:
The distance is 10.5 miles
Step-by-step explanation:
Mathematically; we want to calculate the distance between the two towns in the question
Distance = speed * time
15 minutes to hours is 15/60 = 1/4 hours
So the distance would be;
Distance = 42 mph * 1/4 = 10.5 miles
What is the value of x in x = inverse of sine (negative one-half)?
Negative StartFraction 2 pi Over 3 EndFraction
Negative StartFraction pi Over 6 EndFraction
StartFraction 2 pi Over 3 EndFraction
StartFraction 7 pi Over 6 EndFraction
Answer:
-pi over 6 or B.
Step-by-step explanation:
I plugged it into desmos and this is what I got
Using the inverse of the sine function, it is found that the value of x is:
[tex]x = -\frac{\pi}{6}[/tex]
What is the inverse sine function?It is the function described by:
[tex]y = \arcsin{x}[/tex]
And means that sine of y is equals to x, that is:
[tex]x = \sin{y}[/tex]
In this problem, the function is:
[tex]x = \arcsin{-\frac{1}{2}}[/tex]
Which means that we have to solve for x, considering that the sine of x is of -1/2. Hence:
[tex]\sin{x} = -\frac{1}{2}[/tex]
[tex]x = -\frac{\pi}{6}[/tex]
Hence, the value of x is given by:
[tex]x = -\frac{\pi}{6}[/tex]
More can be learned about inverse trigonometric functions at https://brainly.com/question/1143565
A sweater originally marked $80.00 went on sale for $45. What was the percent of change?
Answer:
43.75%
Step-by-step explanation:
80-45=$35 off
35 is 43.75% of 80