Answer:
Step-by-step explanation:
2) ∠A + ∠B = 146 {Exterior angle theorem}
5y + 3 + 4y + 8 = 146
5y + 4y + 3 + 8 = 146 {combine like terms}
9y + 11 = 146
9y = 146 -11
9y = 135
y = 135/9
y = 15
3) m∠A = 5y + 3
= 5*15 + 3
= 75 + 3
∠A = 78
4) m∠B = 4y + 8
= 4*15 + 8
= 60 + 8
m∠B = 68
5) m∠ACB + m∠A + m∠B = 180 {Angle sum property of triangle}
m∠ACB + 78 + 68 = 180
m∠ACB + 146 = 180
m∠ACB = 180 - 146
m∠ACB = 34
Sumalee and Scott each improved their yards by planting daylilies and ivy. They bought their
supplies from the same store. Sumalee spent $93 on 6 daylilies and 3 pots of ivy. Scott spent
$196 on 13 daylilies and 6 pots of ivy. Find the cost of one daylily and the cost of one pot of ivy.
Answer:
The cost of one daylily is $10 and the cost of one pot of ivy is $11
Step-by-step explanation:
To solve the question we will form a system of equations
Assume that the cost of 1 daylily is x and the cost of 1 pot of ivy is y
∵ Sumalee spent $93 on 6 daylilies and 3 pots of ivy
→ Multiply x by 6, y by 3, then add the products and equate the sum by 93
∴ 6x + 3y = 93 ⇒ (1)
∵ Scott spent $196 on 13 daylilies and 6 pots of ivy
→ Multiply x by 13, y by 6, then add the products and equate the sum by 196
∴ 13x + 6y = 196 ⇒ (2)
Now we have a system of equations to solve it
→ Multiply equation (1) by -2
∵ -2(6x) + -2(3y) = -2(93)
∴ -12x - 6y = -186 ⇒ (3)
→ Add equations (2) and (3)
∵ (13x + -12x) + (6y + -6y) = (196 + - 186)
∴ x + 0 = 10
∴ x = 10
→ Substitute the value of x in equation (1) to find the value of y
∵ 6(10) + 3y = 93
∴ 60 + 3y = 93
→ Subtract 60 from both sides
∵ 60 - 60 + 3y = 93 - 60
∴ 3y = 33
→ Divide both sides by 3
∴ y = 11
∴ The cost of one daylily is $10 and the cost of one pot of ivy is $11
The quotient of a number and 8 decreased by 17 is -15. What is the number?
Answer: 1/4
Step-by-step explanation:
I’ll give brainliest
At Silver Gym, membership is $25 per month, and personal training sessions are $40 each. At Fit Factor, membership is $55 per month, and personal training sessions are $30 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
Covert the equations from standard form to slope intercept form y=-3 and x=-6
Answer:
y = -3x + 0
and
y = -6x + 0
Step-by-step explanation:
I think this is correct we're currently working on slope in my class.
What is a 217 for the sequence -10,-7, -4,-1, ...
Answer:
a(217)=638
Step-by-step explanation:
a(n) = a +(n-1)d
a=-1
d=-7+10=-4+7=3
a(n) = -10 +(n-1)3
a(217) = -10 +(217-1)3
= -10+648
=638
hope this helps
All of the following are equivalent, except _____.
(8 + 3)x
11x²
11x
8x + 3x
hellllllllllllppppppppppp
Explanation:
Choice A combines to 11x since the 8+3 simplifies to 11.
Choice D is a very similar story. Think of having 8 boxes, which we denote in shorthand as 8x. Then adding on 3 more boxes leads to adding on 3x. Having 8 boxes plus another 3 boxes gives 8+3 = 11 boxes total. So that's why 8x+3x = 11x. Alternatively, we can factor out the x to say 8x+3x = (8+3)x.
This shows choices A,C, and D are equivalent expressions. Choice B is the odd one out.
[tex]x^2+8x+11=0[/tex]
Write ✓-49 as an imaginary number using i.
Determine the function rule for the following input/output table.
inputs
2
3
4
5
6
outputs
21
31
41
51
61
Answer:
Every time the input goes up by 1 the output increases by 10.
Step-by-step explanation:
Find the value of x in the
following parallelogram:
2x - 1
11
7
x = [?]
Answer:
[tex]x = 4[/tex]
Step-by-step explanation:
See attachment for complete question
From the attachment, the parallelogram has two diagonals. And the diagonals of a parallelogram bisect one another.
Because 2x - 1 and 7 are opposite sides of a diagonal; We can say that:
[tex]2x - 1= 7[/tex]
Add 1 to both sides
[tex]2x - 1 + 1 = 7 + 1[/tex]
[tex]2x = 8[/tex]
Divide through by 2
[tex]x = 4[/tex]
Muriel says she has written a system of two linear equations that has an infinite number of solutions. One of the equations of the system is 3y = 2x – 9. Which could be the other equation? 2y = x – 4.5 y = y equals StartFraction 2 over 3 EndFraction x minus 3.x – 3 6y = 6x – 27 y = y equals StartFraction 3 over 2 EndFraction x minus 4.5.x – 4.5
Answer:
B is correct
Step-by-step explanation: an infinite number of solutions means a coincident line...it is the same line
3y = 2x - 9...divide by 3
y = 2/3x - 3...hmm...same line as answer choice b....they are coincident lines and have infinite solutions
Answer:
the answer is B).
Step-by-step explanation:
someone deleted my answer:(
What is 3(2x-6)-11=4(x-3)+6
Answer:
[tex]x=11.5[/tex]
Step-by-step explanation:
Answer:
the answer is x=23/2 I think you can simplify that
What is the slop of a line that passes through (2,10) and (1,6)
Answer:
4
Step-by-step explanation:
Slope is x2-y2/ x1-y1
So, its 6-10/1-2
or, -4/-1
Or 4.
Hope this helps you!
#Team Rainbows.
Answer:
4.
Step-by-step explanation:
The slope = (difference in y coordinates) / (corresponding difference in the x coordinates)
= (10-6)/ (2-1)
= 4 / 1
= 4.
Samantha and her friends are going on a road trip that is 245 7/50 miles long. They have already driven 128 53/100. How much farther do they have to go?
Answer:
They have to drive 182, 2820 miles more.
Step-by-step explanation:
... ;)
Answer:
no :)
Step-by-step explanation:
(x-2)= - 1/4(x-8) what does x equal?
Answer:
16/5 or 3 1/5 i think
Step-by-step explanation:
Answer:
x = 16/5.
As a decimal this would be x = 3.2.
Step-by-step explanation:
On the right, distribute the -1/4 to the (x - 8). Do this by multiplying -1/4 to each term in the parenthesis. Then, solve for x by combining like terms.
A circular clock has a circumference of 48.5 meters. What the measurement of the radius, in meters, of the clock?
Answer:
The radius of the clock is 7.72 meters
Step-by-step explanation:
Here, we want to calculate the radius of a clock which has a circumference of 48.5 m
Mathematically;
Circumference C = 2 * pi * r
48.5 = 2 * 22/7 * r
7 * 48.5 = 44r
r = (7 * 48.5)/44
r = 7.72 meters
45 points I will give BRAINLIEST! I give stars to! First place gets Brainlest, 5 stars, and a heart! Second place gets 4 stars and a heart! But it has to be right or you won't get anything.
Write the percent as a fraction in simplest form and as a decimal. 23.5%
The fraction is
The decimal is
Answer:
Fraction: 47/200
Decimal: 0.235
Step-by-step explanation:
Answer:
fraction is 47/200
decimal is 0.235
Step-by-step explanation:
sorry i forgot to add a couple numbers i was in a rush
What is the equation of the line that passes through the point (3,5) and has a slope
of 2?
Answer:
y-5=2(x-3)
Step-by-step explanation:
y-y1=m(x-x1)
Answer:
y=2x-1
Step-by-step explanation:
trust me, it's that
Help I forgot! How do you find slope? I have the change, but need the slope!
Answer:
(y2 - y1)/(x2-x1)
Step-by-step explanation:
if you have 2 points (x1,x2) and (y1,y2), just plug it in the formula for slope m
m = (y2 - y1)/(x2-x1)
HELP ILL GIVE BRAINLIEST AND POINTS
Find the percent decrease. Where necessary round to the nearest tenth of a percent
1. from 60 to 48
2. from 180 to 108
3. from 64 to 24
4. from 6.5 to 4.8
5. The average cost of a gallon of gasoline was $1.29 in 1997 and $1.12 in 1998. Find the percent of decrease.
Answer:
Hey, ill do like 2 and you can do the rest
percent decrease or change is
new-old over old
So like #1
1) 60 is old, 48 is new
so 48-60=-12
now over old which is 60
-12/60
-1/5
20 percent decrease
2) 180 is old, 108 is new
108-180=-72
-72/180
40 percent decrease
Step-by-step explanation:
20%= ?/50. What is the question mark?
7/4
7/1
10/4
3/2
Answer:
10/4
Step-by-step explanation:
A student records the sexes and breeds of a dog in animal shelter. Which kind of data is the student recording
Answer:
sexes and breeds duh
Step-by-step explanation:
Answer:
data of the dogs
Step-by-step explanation:
What are the zeros of the function defined by 2x^2 - 9x + 4?
O A. -1/2, -4
O B. -1/2, 4
OC. 1/2, -4
O D. 1/2, 4
Armoni took a quiz. On her quiz, she got a 95%. If there were 20 questions on the quiz, how many did Armoni get correct?
Answer:
19 questions right
Step-by-step explanation:
95% > .95
.95 * 20 = 19
Armoni got 19 questions correct
hope it helps!
You have at most 8 hours to spend at a beach and at a planetarium. You want to spend more than 2 hours at the beach and at least 2 hours at the planetarium. Let x be the number of hours at the beach and let y be the number of hours at the planetarium. Which system represents the situation
Answer:
x > 2
y ≥ 2
x + y ≤ 8
Step-by-step explanation:
Here, we want to write a system of equations according to the given variables
More than means, greater than
since x is the variable we want to use;
x > 2
At least 2 hours means greater than or equal to 2
That is mathematically represented as;
y ≥ 2
At most means less than or equal to
So;
x + y ≤ 8
plzzzzzzzz help
The regular price of a coat is $35.25. During a sale, the coat rang up for $19.99. What was the percent off of the coat during the sale? (5 points)
a
The sale was for a 43% decrease.
b
The sale was for a 76% increase.
c
The sale was for a 76% decrease.
d
The sale was for a 43% increase.
Answer:
a
The sale was for a 43% decrease.
Step-by-step explanation:
The computation of the percent off of the coat during the sale is shown below:
Regular price is $35.25
And, in the sale the price is $19.99
So, the percent off would be
= ($35.25 - $19.99) ÷ ($19.99)
= 43% decrease
hence, the percent off of the coat during the sale is 43% decrease
Therefore the correct option is a.
And, all the other options are incorrect
least common multiple of 12 and 3
Answer:
Answer is 12
12x1=12
3x4=12
Step-by-step explanation:
Its the least number.
Answer:
It is exactly 12
Step-by-step explanation:
I hope this helped you
Can i get branliest and heart please
Thanks!
Please show steps on how you simplified it
Answer:
4(3^2)
3^2=9
4(9)= 36
Answer:
4(3•3)
4(9)
36
Step-by-step explanation:
3 to the second power is equal to 3•3, which is equal to 9
Then you do 4 times 9, equals to 36
Pamela is 5 years younger than Jiri. The sum of their ages is 55. What is Jiro's age?
Answer:
ummm i firgit
Step-by-step explanation:
I forgot bc well I am dum
Answer:
The answer is 30
Step-by-step explanation:
j+j-5=55
2j=60
=30
Me and my daughter are having a disagreement on this question, I would appreciate the help.
Answer:
(4t - 8/5) - (3 - 4/3t) = 16/3t - 23/5
5(2t + 1) + (-7t + 28)= 3t+33
(-9/2t +3) + (7/4t + 33) = -11/4c+56
3 (3t-4) - (2t + 10)= 7t -22
Sooo Sorry that it took soooo long! Hope this helps!!!
Happy holidays!!