Answer:
70% of people surveyed liked the plan.
Step-by-step explanation:
Given that,
No. of people that liked the plan = 2,800
No. of people that did not like the plan = 1,200
We need to find what percentage of the people surveyed liked the plan. It can be given by :
[tex]\%=\dfrac{2800}{2800+1200}\times 100\\\\=70\%[/tex]
So, 70% of people surveyed liked the plan.
THE MEASURE OF TWO ADJACENT ANGLES OF THE PARALLELOGRAM ARE IN THE RATIO OF 3:2. FIND THE MEASURE OF EACH OF THE ANGLES OF THE PARALLELOGRAM
Answer:
The adjacent angles are: 72 and 108
Step-by-step explanation:
Given
Angle Ratio = 3 : 2
Required
Find the measure of each angle
Let the angles be [tex]x\ and\ y.[/tex]
Such that:
[tex]x + y = 180[/tex] --- adjacent angles of a parallelogram
and
[tex]x : y = 3 : 2[/tex] --- given
Convert to fraction
[tex]\frac{x}{y} = \frac{3}{2}[/tex]
Cross Multiply:
[tex]2x = 3y[/tex]
Make x the subject:
[tex]x = \frac{3}{2}y[/tex]
[tex]x + y = 180[/tex] becomes
[tex]\frac{3}{2}y + y = 180[/tex]
Take LCM
[tex]\frac{3y + 2y}{2}= 180[/tex]
[tex]\frac{5y}{2}= 180[/tex]
[tex]y = \frac{2}{5} * 180[/tex]
[tex]y = 0.4 * 180[/tex]
[tex]y = 72[/tex]
Recall that:
[tex]x = \frac{3}{2}y[/tex]
[tex]x = \frac{3}{2} * 72[/tex]
[tex]x = 1.5 * 72[/tex]
[tex]x = 108[/tex]
Hence, the adjacent angles are: 72 and 108
Solve each of these equations. Explain or show your reasoning. 2(3x+2)=2x+28 5y+13=-43−3y 4(2a+2)=8(2−3a)
Answer:
first equation=6
second equation=15
Third equation=
Step-by-step explanation:
2(3x+2)=2x+28
6x+4=2x+28
collect like terms
6x-2x=28-4
4x=24
Divide both sides by 4
4x/4=24/4
x=6
second equation
5y+13=43-3y
collect like terms
5y-3y=43-13
2y=30
Divide both sides by 2
2y/2=30/2
y=15
Third equation
4(2a+2)=8(2-3a)
8a+8=16-24a
collect like terms
8a+24a=16-8
32a=8
Divide both sides by 32
32a/32=8/32
a=1/4
1) The solution to the equation is x = 6.
2) The solution to the equation is y = -7.
3) The solution to the equation is a = 0.25
Given are three equations we need to solve for their variables,
1) 2(3x + 2) = 2x + 28
2) 5y + 13 = -43 - 3y
3) 4(2a + 2) = 8(2 - 3a)
Let's solve each equation step by step:
1) 2(3x + 2) = 2x + 28
Expanding the parentheses on the left side:
6x + 4 = 2x + 28
Next, let's isolate the variable terms on one side and the constant terms on the other side:
6x - 2x = 28 - 4
Combine like terms:
4x = 24
To solve for x, we need to isolate x by itself. Divide both sides of the equation by 4:
4x/4 = 24/4
x = 6
Therefore, the solution to the equation is x = 6.
2) 5y + 13 = -43 - 3y
Let's start by moving the variable terms to one side and the constant terms to the other side:
5y + 3y = -43 - 13
Combine like terms:
8y = -56
To solve for y, we divide both sides of the equation by 8:
8y/8 = -56/8
y = -7
Therefore, the solution to the equation is y = -7.
3) 4(2a + 2) = 8(2 - 3a)
First, distribute the multiplication on both sides:
8a + 8 = 16 - 24a
Next, let's group the variable terms on one side and the constant terms on the other side:
8a + 24a = 16 - 8
Combine like terms:
32a = 8
To solve for a, divide both sides of the equation by 32:
32a/32 = 8/32
a = 0.25
Therefore, the solution to the equation is a = 0.25.
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The distance of 15 miles on a map is represented by 2 inches. If the distance between two cities on the map is 8 inches, write a proportion to determine the actual distance between them?
The actual distance between the two cities is 60 miles.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The distance of 15 miles on a map is represented by 2 inches.
This means,
2 inches = 15 miles
Divide both sides by 2.
1 inch = 7.5 miles
Multiply 8 on both sides.
8 inches = 8 x 7.5 miles
8 inches = 60 miles
Thus,
The actual distance is 60 miles.
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Doug earns $10.50 per hour working at a restaurant. On Friday he spent 1),hours cleaning, 2+)hours doing paperwork, and 10+*hours serving customers. What were Doug's earnings?A$46.97B$47.25C$53.00D$57.75
Complete question :
Doug earns $10.50 per hour working at a restaurant. On Friday he spent 1 3/4 hours cleaning, 2 1/3 hours doing paperwork, and 1 5/12 hours serving customers. What were Doug's earnings?A$46.97B$47.25C$53.00D$57.75
Answer:
$57.75
Step-by-step explanation:
The total hours spent working :
1 3/4 + 2 1/3 + 1 5/12
7/4 + 7/3 + 17/12
L.C.M = 12
(21 + 28 + 17) / 12
= 66 / 12
= 5 6/12
= 5 1/2
Hourly pay = $10. 50
Total earning :
Total hours * pay per hour
5.5 hours * $10.50
= $57.75
What relationship do you notice between the squares of
the right triangle?
The special relationship that exists between the squares of the lengths of the sides of a right triangle is known as the Pythagorean Theorem. The Pythagorean Theorem states that the sum of the squares of the lengths of the legs of a right triangle equals the square of the length of the hypotenuse.
This is all I know.Hope it helps~Good luck with your work!!~ \^o^/Write yes or no equation in standard form
Answer:
yes equation in standard form of advertising with a room stream NY
Help first gets brainly
Answer:
1. 100 1. 150 1. 1
2.45 2. 800
Step-by-step explanation:
1. 25% * 400 = 0.25 * 400 = [tex]\frac{1}{4}[/tex] * 400 = 100
2. 50% * 90 = 45
1. 75% * 200 = 0.75 * 200 = 3/4 * 200 = 150
2. 10% * 8000 = 0.1 * 8000 = 800
1. 5% * 20 = 0.05 * 20 = 1
A haircut costs $30. The sales tax is 4.5%. How much tax will you pay?
Answer:
You will pay $1.35.
Step-by-step explanation:
4.5%=0.045
0.045*30=1.35
A box filled with many different color crayons there are 40 white crayons 24 green crayons 12 red crayons 24 golden crayons and 20 blue crayons if you have to select a crayon without looking into the box what is the probability that you will pick a white or blue crayon do you guys now the answer
Answer: The answer is 50%
Step-by-step explanation: You have to add up all of the values to get the total number of crayons. Then after, you have to divide the amount of blue and white crayons by the total amount of crayons.
PLEASE HELP ME QUICK!!!!
USE ARITHMETIC OR GEOMETRIC SEQUENCE TO SOLVE.
Lisa wants to get a new phone. An iPhone 12 is $800 while an iPhone 8 is $600. If the iPhone 12's price goes down by 10% each year and the iPhone 6's goes down by 5% each year, Which phone would be the cheapest for Lisa to get after three years?
Answer:
iPhone 12!!!!!!!!!!!!
Answer:
The iphone 8
Step-by-step explanation:
To find the nth term of a geometric sequence we have the following equation
ar^(n-1)
where a is the first term
r the is the common ratio
n is the term
we can see that the first term for the iphone 12 is 800, the common ratio is .9 (1-.1), and we need the third term
Therefore the price of an iphone 12 after 3 years is
800*.9^(3-1)
which is 648
The iphone 8's first ter is 600 and the common ratio is .95 (1-.05)
using the same equation
600*.95^(3-1)
which is 541.5
what is this??????????
Answer:
not enough info it's just saying that the sides with II are equal and the ones with I are equal
Answer:
I wanna say its the first one or the last one?
Describe how k affects the graph of the function f(x)= -3/5(10)^x
Answer:
Part A: shift right k units
Part B: shift up k units
Part C: reflect over the x-axis
Part D: stretch by a factor of k
Step-by-step explanation:
Answer:
they go i n order
Step-by-step explanation:
Manuel needs to buy a binder, which costs $5. He would also like to buy some folders, which cost $0.75 each. He has $12. What algebraic statement can you use to find the possible number of folders he can buy?
Can anyone help me with this hw
Only 2 and 3
when do get to message people privately??
(can someone please tell me)
Answer:
You have to answer 1,000 questions i think
Step-by-step explanation:
PLS HELP ASAP - right answers only plsssss I’ll give brainliest
"Data is collected from some members of the population"
I think
Help, I have to turn this in soon
Answer:
b
Step-by-step explanation:
i got a 100 on it yesterdy
Answer:
A - Congruent segments
B - Perpendicular bisector
C - Angle Bisector
D - Congruent angles
Is (2, 4) a solution of 2x – 7y < -10?
Choose 1 answer:
A
Yes
B
No
Answer: NO DEFINITLY NOT
Step-by-step explanation:
2,4 is on a COORDINATE PLANE not an equation plz mark me brainliest
Answer:
yes
2(2)-7(4)= -24
-24<-10
Dianne's profit from selling magazine subscriptions varies directly with the number of subscriptions sold. Dianne made $30 from selling 24 subscriptions. Which equation relates Dianne's profit (y) to the number of subscriptions she sold (x)?
B) I say this bcz I divided 30 by 24 and got 1.25
Profit=1.25(subscription)
(If someone else proves this wrong then I am sorry but I am in Middle School and my teacher just taught me this and I got an 100 so if it doesn't help I'm sorry) (I even used all those math calculator and word problem websites)
What is the factored form of this expression?
18x2 − 50
Answer:
_14
Step-by-step explanation:
step1 18×2 -50
step2 18×2 =36_50
step3 36_50=_14
Answer:
2(9*x-25)=18×2-50
Step-by-step explanation:
the answer is in the problem since we know 1 times anything will stay the same. so just divide the other integers by 2 and put the problem in parentheses.
subtract (2/7 -5/21 ) from the sum of 3/4, 5/7 and 7/12
SHOPPING Sergio, Boris, and Opa went shopping. If you add 4 dollars to the amount of money Sergio spent
and then double that amount, you get what Boris spent. If you subtract 1 dollar from what Sergio spent and
multiply by 12, you get what Opa spent. If Boris and Opa spent the same amount of money, how much did
Sergio spend?
A. $10
B. $14
C. $12
D. $2
Answer:
answer is 2
Step-by-step explanation:
if you create an equation: (s+4)x2 = boris s-1x12 = opa
only one that only works out is 2
hey Heyy njknckslje whas good people
Answer:
.
Step-by-step explanation:
Answer:
make a zo-om my dude
Step-by-step explanation:
Rearrange the formula to make a the subject.
Please help.
Answer:
[tex]a = \frac{5b+w-2}{15}[/tex]
Step-by-step explanation:
[tex]w=5(3a-b)+2\\w-2 =5(3a-b)\\w-2 = 15a - 5b\\w-2+5b = 15a \\5b+w-2= 15a\\a = \frac{5b+w-2}{15}[/tex]
Show two different ways to solve (3x + 6) = 4x + 3. {= Show your work.
Answer: Work below.
3x+6 = 4x+3
6-3 = 4x - 3x
3 = x
or
3x+6 = 4x+3
3x - 4x = 3 - 6
-x = -3
x = 3
Plz, HELP me with this question! Plz, HELP me with this question!
Answer:
G The theoretical probability is less than the experimental probability
PLEASE HELP ASAP ITS DUE TODAY!
1) y = -1(5x) and x = 3
a) -125
b) -0.02
c) 8
d) 9
2) y = 0.25 (6x) and x = 2
a) -125
b) -0.02
c) 8
d) 9
e) 162
3) y = -2(0.1x) and x = 2
a) -125
b) -0.02
c) 8
d) 9
e) 162
20. Write an equation in slope-intercept form for the line that has a slope
of 2/3and y-intercept of (0, – 5).
Answer:
y = 2/3x -5
Step-by-step explanation:
Please help me with this problem
Answer:
i cant see the pic please send a better one and i reloaded it and it still does not work
Step-by-step explanation:
Kenny is putting a brick border around his irregular shaped garden. Before installing the border, Kenny must
cut the bricks to fit the angles of the garden. Use the given measures to answer the question.
mzA=x
mZB=(5x-5)
m2C =(2x +20)
mZD=(3x-15)
mZE =(4x)
What are the angle measures of each vertex of the garden? Show your work.
Answer:
m<a=36
m<b=175
m<c=92
m<d=93
m<e=144
Step-by-step explanation:
since the shape has 5 sides we can determine the sum of the measure of interior angels with the equation 180×(n-2). replacing n with 5 would bring us to 180×3 equalling 540. since all the angels must add up to 540 we can combine them together to get it to 15x=540. simplify to get x=36. sub in x in the equations.