Answer: 17
Step-by-step explanation:
Each side has one line on it indicating each side is equal therefore 5y-3= 4y+1. Once you put them equal to each other you solve for y. You start by isolating the variable by inverse operations so you add 3 to both sides which leaves 5y=4y+4 and then you subtract 4y from both sides leaving y=4. Now that you found the value of y you input that value into one of the expression for one of the sides and solve. 5(4)-3= 17
Set up and solve an equation to find the measure of each missing angle.
Answer:
<A = 76°
<B = 63°
<C = 41°
Plug in the value of x
<C = 34 + 7
<C = 41°
Step-by-step explanation:
[tex] 63 + (2x + 8) + (x + 7) = 180 [/tex] (sum of ∆)
Solve for x
[tex] 63 + 2x + 8 + x + 7 = 180 [/tex]
Add like terms
[tex] 78 + 3x = 180 [/tex]
Subtract 78 from each side
[tex] 78 + 3x - 78 = 180 - 78 [/tex]
[tex] 3x = 102 [/tex]
Divide both sides by 3
x = 34
<A = 2x + 8
Plug in the value of x
<A = 2(34) + 8 = 76°
<B = 63°
<C = x + 7
Plug in the value of x
<C = 34 + 7
<C = 41°
Please help me with my work
Answer:
3.) [tex]y = \frac{2}{5} x - 7.2[/tex]
4.) [tex]y = -3x - 1[/tex]
Step-by-step explanation:
You have to find the y-intercept in both questions to put it in point-slope form. The first step is to substitute y and x from the question into point slope-form. You get -6 = m(-3) + b. Then you substitute for the slope which is 2/5. You end up with -6 = [tex]\frac{2}{5}[/tex] (-3) + b. Solve for b which is -7.2 and put the slope and y-intercept into the final point-slope equation. You follow the same steps for question 4.
Janice is preparing a recipe that calls for 3/4 cups of oil per serving. If janice needs to prepare 2 2/3 servings, how many cups of oil will she need?
Answer:
Janice will need 2 cups of oil.
Step-by-step explanation:
You know that Janice needs to prepare 2[tex]\frac{2}{3}[/tex] servings. A mixed number is a numerical way of representing a fraction greater than unity, that is, of representing fractions in which the numerator is greater than the denominator (improper fraction). To calculate the number of cups of oil needed, first it is convenient to transform the mixed number to an improper fraction. For that, the integer part is multiplied by the denominator and the numerator is added to it. The result obtained is the numerator of the improper fraction. The denominator is the same as that of the rational part of the mixed number.
In this case:
[tex]2\frac{2}{3} =\frac{3*2+2}{3} =\frac{8}{3}[/tex]
Knowing that the recipe calls for [tex]\frac{3}{4}[/tex] cups of oil per serving and Janice needs to prepare [tex]\frac{8}{3}[/tex] servings, you can apply the following rule of three: if [tex]\frac{3}{4}[/tex] cups of oil are required for 1 serving, [tex]\frac{8}{3}[/tex] servings how many cups of oil require?
[tex]cups of oil=\frac{\frac{8}{3}servings *\frac{3}{4}cups of oil }{1 serving}[/tex]
Solving:
cups of oil= 2
Janice will need 2 cups of oil.
Whats the answer for number 7?
Question 6 of 10- POOS
GR6_Math_T3_FSQ_FY21 Question: 1-6
Joe concluded that the expression 3x + 15 + 2x is equivalent to the expression 5(x + 3). Which of these best explains how Joe reached his conclusion?
o dividing each term in the first expression by 3
combining like terms in the first expression and dividing each term by 3
combining like terms in the first expression and dividing each term by 5
subtracting 20 and applying the distributive property to the first expression
Answer:
The correct option is c. Combining like terms in the first expression and dividing each term by 5.
Step-by-step explanation:
Joe concluded that the expression [tex]3x+15+2x[/tex] is equivalent to the expression [tex]5(x+3)[/tex].
Let's analyze each option :
a. Dividing each term in the first expression by 3.
If we perform this operation it will lead us to :
[tex]\frac{3x+15+2x}{3}=x+5+\frac{2}{3}x[/tex]
And if we sum each term ⇒ [tex]x+5+\frac{2}{3}x=5+\frac{5}{3}x=5(1+\frac{1}{3}x)[/tex]
Which isn't equivalent to the expression [tex]5(x+3)[/tex]
b. Combining like terms in the first expression and dividing each term by 3.
If we perform this operation it will lead us to :
[tex]3x+15+2x=15+5x[/tex] ⇒
[tex]\frac{15+5x}{3}=5+\frac{5}{3}x=5(1+\frac{1}{3}x)[/tex]
Which isn't equivalent to the expression [tex]5(x+3)[/tex]
c. Combining like terms in the first expression and dividing each term by 5.
If we perform this operation it will lead us to :
[tex]3x+15+2x=15+5x[/tex] ⇒ Now if we divide each term by 5 and then we multiply the expression by 5 (in order to keep the equivalence) ⇒
[tex]\frac{15+5x}{5}=3+x[/tex]
And then we multiply by 5 to keep the equivalence ⇒
[tex]5(3+x)[/tex]
Finally, using commutative properties ⇒ [tex]5(3+x)=5(x+3)[/tex]
Which is the same expression that Joe found.
The correct option is c. Combining like terms in the first expression and dividing each term by 5.
Anyway, let's analyze option d. Subtracting 20 and applying the distributive property to the first expression :
[tex]3x+15+2x-20=-5+5x=5(-1+x)[/tex]
Which isn't equivalent to [tex]5(x+3)[/tex]
Answer: The correct option is c. Combining like terms in the first expression and dividing each term by 5.
Step-by-step explanation:
can you help me simplify this
Answer:
B) 17
Step-by-step explanation:
3(4)+5
12+5
Help plz suppose the length of the fence was 1 1/3 how would you change the number lines to solve the problem? Just do it plz
Answer:
Step-by-step explanation: sowwy I dunno
PLEASE HELP!!! WILL GIVE BRAINLEST
Charlene puts together two isosceles triangles so that they share a base, creating a kite. The legs of the triangles are 10 inches and 17 inches, respectively. If the length of the base for both triangles is 16 inches long, what is the length of the kite’s other diagonal?
6 inches
4 StartRoot 21 EndRoot inches
16 StartRoot 21 EndRoot inches
21 inches
Answer:
Answer: 21 inches
Step-by-step explanation:
I got it right so this should help
if you want the explanation i can give that to u just comment
Select three sets of numbers that can be the side lengths of a right triangle
5, 6, 8
7, 24, 25
8, 10, 12
20, 21, 29
12, 35, 37
Answer:
4th choice, 20, 21, 29 would be the answer.
Step-by-step explanation:
Pythagorean Theorem: a^2 + b^2 = c^2
a= 20, b= 21, c= 29 ( c has to be the C, hypotenuse, because it is the longest)
therefore,
20^2 + 21^2 = 29^2
into
400 + 441 = 841,
which is true, makes the Pythagorean Theorem work.
You have investigated graphs of exponential relations of the form y = br for b > 0. Explain why graphs of this form remain above the x-axis.
Answer:
When you substitute 0 for the exponent x, the expression simplifies to a times 1, which is just a. This is because any number to the 0 power equals 1. Since the initial value is the value of the function for an input of 0, the initial value for any function of this form will always be the value of a
Step-by-step explanation:
Hopefully this helped, if not HMU and I will try to get you a better answer! :)
if you can please help me
Answer/Step-by-step explanation:
1. -14
2. 3
3. -3
4. 10
5. -8
1. 4 x -3 = -12 - 2 = 14
2. -3 x 2 = -6 + 9 = 3
3. 8 divided by 4 = 2 - 5 = -3
4. 3/2 = 1.5 x 2 = 3 + 7 = 10
5. -9/3 = -3 - 5 = -8
What is the product of (–22.1)(–5.6)?
–123.76
–27.7
27.7
123.76
Answer:
-123.76
Step-by-step explanation:
You just multiply -22.1 by -5.6 and you get -123.76.
Expand the brackets and simplify.
a) 4(8 + 5) – 4g =
b) 6(p + 4) + 2(p - 12) =
c) 30 + 2(3z – 15) =
d) 204 + a) + a =
e) 6(a + 5) + 2(a – 7) =
f) 2(3 + w) + 5(2 + 6w) =
Answer: is bruh idk
Step-by-step explanation: you dont ask me
Answer:
a) -4g + 52
b) 8p
c) 6z
d) 2a +204
e) 8a +16
f) 32w +16
help asap please !!!!
Answer:
C =diameter times π
24π mm
Helppp me plzzzzz skjwmsnsnjsmsmsns
Answer:
y = -x + 8
Step-by-step explanation:
We are to write the expression is slope intercept format;
coordinate = (3,5)
slope = -1
The equation of a straight line is given as;
y = mx + c
y and x are the coordinates
m is the slope
c is the y-intercept
y = mx + c
5 = -1 (3) + c
5 = -3 + c
c = 8
The equation of the line is ;
y = -x + 8
Brad reads his favorite book for 114 hours each day. If he has read the book for 2212 hours so far, how many days has he read it? Show how you know.
Answer:
20 days
Step-by-step explanation:
2212 divided by 114 =19.40350877, so round it up to the nearest tenth, which is 20. he has read for 20 days
Rodger has $2.30 in dimes and nickels. They're five more dimes than nickels. Find the number of each kind of coin that he has
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The sum of three numbers is 27. The product of the first number times the third number is 56. The quotient of the second number divided by the first number is 1.5. If the first number is represented by x, the second number is represented by y, and the third number is represented by z, which of the systems of equations below can be used to determine the three numbers?
Answer:
The system of equations that can be used to determine the three numbers are equation 1 and 6
x + y + z = 27 ----- ( 1 )
37.33 x - 56 y + 0 = 0 ---- ( 6 )
Step-by-step explanation:
x + y + z = 27 ----- ( 1 )
x * z = 56 ------ ( 2 )
y / x = 1.5 -------- ( 3 )
from equation 3
x = y / 1.5 -------- ( 4 )
input equation 4 into ( 2 )
( y / 1.5 ) * z = 56
y * z = 37.33 ------ ( 5 )
from equation 5 ; z = 37.33 / y input back to equation 2
x ( 37.33 / y ) = 56
37.33 x = 56 y
37.33 x - 56 y + 0 = 0 ---- ( 6 )
A man is climbing down from 100 feet high descending 30 feet per minute. Which of the following equation represent this situation
Simplify (–9k3 + 12k2 + 9) – (10k3 + 3k2 + 4k – 8)
Answer:
-43K+17
Step-by-step explanation:
(–9k3 + 12k2 + 9) – (10k3 + 3k2 + 4k – 8)
-9.3=-27 10.3=30
12.2=24 3.2=6
=(-27k+24k+9) - (30k+6k+4k-8)
COLLECT LIKE TERMS
=(-3k+9) - (40K-8)
= -3k+9-40k+8
= -43k+17
Answer:
-19k³ + 9k² + 17
Step-by-step explanation:
Given expression;
(-9k³ + 12k² + 9) - (10k³ + 3k² + 4k - 8)
To simplify, expand the brackets.
In the second bracket, the negative sign multiplies through;
= (-9k³ + 12k² + 9) - 10k³ - 3k² - 4k + 8
= -9k³ + 12k² + 9 - 10k³ - 3k² - 4k + 8
= -9k³ - 10k³ + 12k² - 3k²+ 9+ 8
= -19k³ + 9k² + 17
HELP ASAP PLEASE
Larry has an account with amazon movies that costs him $75 per year to be a member of. He can rent movies for $3 each. He wants to keep under $300 per year. Solve the inequality that represents his situation for how many movies he can rent.
Answer:
300 is greater than 3x + 75
The equation you would use to solve would be
300=75+3x
x= the amount of movies he watches
meaning x= 75
300=75+3x
225=3x
x=75
he can rent up to 75 movies
Using trig to find Angels plz help
what is the perimeter
Answer:
the answer is 10 6/3 20/10 1/2
Step-by-step explanation:
PLEASE HELP!!
I dont understand stand how it works...
if possible, please explain how you got your answer.
Thanks!!
Answer:
C. 2.84%
Step-by-step explanation:
We are trying to figure out how much money will be made from the interest each year in percentage form so to set up the problem we need to first find the earnings from this year: 2,056.72 - 2,000 = 56.72
Then we will put 2,000 below that because that was the original full account deposit used to make the interest. 100 automatically goes on the other side because it is the full value of the percentage. Then solve the equation.
56.72 X
--------- = -------
2,000 100
To solve for X start by multiplying the diagonal numbers, in this case 56.72 and 100. Then divide by the remaining number, 2,000.
I hope this helps a little :)
What is the slope of the line in the graph?
Pls helppp
Answer:
y = 1x +1
Step-by-step explanation:
1 is your b, you go up 1 over 1, 1/1, which equals 1. so your awnser is y=1x+1 :)
in a packet of skittles 27% are red and 14% are blue what percentage are not red
Answer:
73%
Step-by-step explanation:
if 100% of the skittles are there, and 27% are red, then you would just subtract to find out how many aren't red.
100-27=73
PLSS PLSSS HELPPP I WILL GIVE BRAINLIESTTTT!!!!!!!
PLSSS HELPPP I WILL GIVE BRAINLIESTTTT!!!!!!!
PLSSS HELPPP I WILL GIVE BRAINLIESTTTT!!!!!!!
Answer:
m is greater than -4. The graph is correct.
Match the coordinates with the points on the coordinate plane.
Answer:
T (-4.5, -3)
S (0,-3,5)
R (3.5,0)
Q (4, 6.5)
P (-2,4)
I took the time to look and note the points on the graph. GL tho.
What is the arc measure of this circle?
mCD=____ ?
Answer:
i think its just 80 degreed
Step-by-step explanation:
Hanan buys a pair of shoes for $51.49 and a board game for $17.65. She pays with $80.00. How much change will Hanan get back?
$51.49+$17.65=$69.14
$80-$69.14=$10.86