Answer:
3 (z = 35)
Step-by-step explanation:
(22 + 19) + 104 + z = 180° => triangle sum theorem
41 + 104 + z = 180
145 + z = 180
145 + z - 145 = 180 - 145
z = 35
Gracie and Mark are having a
contest to see who can sell the most
cupcakes. For every 3 that Mark
sold, Gracie sold 4. If Gracie sold 4
more than Mark, how many total
cupcakes were sold?
Answer:
Mark sold 12 cupcakes, meaning Gracie sold 16.
4 threes, and 4 fours.
Mark Gracie
O O O O O O O
O O O O O O O
O O O O O O O
O O O O O O O
Answer:
Step-by-step explanation:
m/g=3/4
m=3g/4, now we can express m in terms of g
g=4+m, using m found above in this equation gives you
g=4+(3g)/4
4g=16+3g
g=16, since m=3g/4
m=3(16)/4
m=48/4
m=12
So total cupcakes sold is 12+16=38.
38 cupcakes were sold.
When rounding to the nearest hundred thousand what is the greatest whole number that rounds to 400,000
Answer:
449,999
Step-by-step explanation:
Given that:
Greatest whole number that round to 400,000 when rounding to the nearest hundred thousand :
To obtain the greatest whole number which rounds to 400,000, the whole number is greater Tha 400,000 and its 10 thousand digit in the number or value to be rounded must be lesser than 5.
The value would be 449,999 ; here z the 10 thousand value which is 4 is rounded to zero since it is not up to 5 and the subsequent digits also rounded to 0 to give ;
400,000 (nearest hundred thousand).
You are organizing a school banquet. You spend $82 on decorations. Dinner will cost $13 for each person that attends. In the equation y=13x+82, y is the total cost of the banquet for x people. Complete the solution (69,?) to find the cost for 69 people.
Answer:
(69,979)
Step-by-step explanation:
In the coordinates, x is represented as 69. We can now insert this into the equation.
y = 13x + 82
Now to insert x.
y = 13(69) + 82
Now we can multiply 13 by 69.
13*69 = 897
Now fix the equation.
y = 897 + 82
Now add to get our y.
897 + 82 = 979
Substitute into the equation.
y = 979
And there is our answer. We now need to put this into the coordinates.
And we get our final answer of (69,979).
Hope this helps. Have a nice day.
is there an error in the work and is the answer extraneous? if so why?
Answer:
x = 4
Step-by-step explanation:
log₃[1 + log₃(2ˣ - 7)] = 1
log₃[1 + log₃(2ˣ - 7)] = log₃(3)
1 + log₃(2ˣ - 7) = 3
log₃(2ˣ - 7) = 2
log₃(2ˣ - 7) = log₃(3)²
2ˣ - 7 = 9
2ˣ = 9 + 7
2ˣ = 16
2ˣ = 2⁴
x = 4
By putting x = 4 in the original equation,
log₃[1 + log₃(2⁴ - 7)] = 1
log₃[1 + log₃(16 - 7)] = 1
log₃[1 + log₃(9)] = 1
log₃[1 + log₃(3)²] = 1
log₃[1 + 2] = 1
log₃[3] = 1
1 = 1
Therefore, x = 4 is not the extraneous solution and there is no error in your answer.
What is the area of triangle ABC
Answer:
A = 24 cm²
Step-by-step explanation:
The area (A) of Δ ABC is calculated as
A = [tex]\frac{1}{2}[/tex] × AB × AC
Calculate AC using Pythagoras' identity
AC² + AB² = BC²
AC² + 6² = 10²
AC² + 36 = 100 ( subtract 36 from both sides )
AC² = 64 ( take the square root of both sides )
AC = [tex]\sqrt{64}[/tex] = 8
Then
A = 0.5 × 6 × 8 = 24 cm²
To purchase $14,500 worth of restaurant equipment for his business, Hans made a down payment of $1800 and took out a business loan for the rest. After years of paying monthly payments of $562.88. , he finally paid off the loan.
Answer:
hello your question is incomplete below is the complete question
To purchase $14,500 worth of restaurant equipment for his business, Hans made a down payment of $1800 and took out a business loan for the rest. After 2 years of paying monthly payments of $562.88. , he finally paid off the loan. What was the total amount Dean ended up paying for the equipment ( including the down payment and monthly payments )
answer: $15309.12
Step-by-step explanation:
Initial cost of equipment = $14500
Down payment = $1800
cost of equipment = 14500 - 1800 = $12700
Monthly payment = $562.88
Therefore payment made after 2 years = ( 562.88 * 24 ) = $13509.12
Total amount paid by Dean for the equipment
= down payment + monthly payments
= $1800 + $13509.12
= $15309.12
I need help with this question....
Solve the variable for 2e=6.8
Answer:
e=3.4
Step-by-step explanation:
Your equation is 2e=6.8
All you have to do is divide both sides by 2 and get that:
e=3.4
The solution for 2e=6.8 is 3.4
What is equation?Equation, statement of equality between two expressions consisting of variables and/or numbers.
Given equation is: 2e=6.8
Divide both by 2, to make the coefficient of e 1.
2e/2=6.8/2
e=3.4
Hence, the solution of the equation is 3.4.
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ2
-1/3+1/2 simplified??
Answer:
1/6
Step-by-step explanation:
find the slope and y-intercepts of the line below & write the equation of the line.
Answer:
m=3 b=-2 y=3x-2
Step-by-step explanation:
The slope/m is 3 because the rise is 3 and the run is 1. Rise over run and you get 3/1 also known as 3.
The y-intercept point/b is -2 because you can look at the graph and the point where the line touches the y-axis is the y-intercept/b
The equation is written in the format of y=mx+b so y and then m is the slope then add x after the slope, then write the y intercept.
UGRENT PLEASE RESPOND QUICKLY
solve the problem:
x + 4 = 10
Answer: 6
Step-by-step explanation: The way to solve this problme is to move backwards. Instead of adding you would subtract the number after the equal sign and whatever number before. It's kind of like a fact family!
10-4=6 so the answer is 6.
I hope this help you out, have an awesome day! :)
Car survey in a survey of 1200 people who owned a certain type of car,600 said they would buy that type of car again.What percent of people surveyed were satisfied with the car?
Answer:
50 percent
Step-by-step explanation:
Total number of people in this car survey = 1200
Total number of people who they would still buy same car type = 600 (these are the satisfied people)
The percentage = 600/1200 x 100
= 0.5 x 100
= 50 percent
So the percentage of satisfied people who would buy this type of car again is 50%
There are 568 kiloliters of soup in a pot. How many liters of liquid did the chef use for this recipe?
.568 L
5.68 L
568,000 L
5,680 L
HELLLP
Answer:
568,000L
Step-by-step explanation:
1 Kiloliter = 1,000 Liters
568 x 1,000 = 568,000
Factor completely: 2x^3-12x^2+18x
Answer:
2x(x - 3)²
Step-by-step explanation:
We can simplify this a lot by first factoring 2x out of each term:
2x³ - 12x² + 18x
= 2x(x² - 6 + 9)
We can then factor the trinomial fairly easily, as it's a perfect square:
= 2x(x - 3)²
Someone please help me with this question
Help me with this!! Will mark Brainliest!!!
Answer:NO!!
Step-by-step explanation:
RS distance of 2 while TU distance of 1
find the value for m
-10 + 59 = 5m = 7 + 3m
-10+59=5m=7+3m
49=5m=7+3m
49-7=5m-3m
m=42/2
m=21
Answer:
21
Step-by-step explanation:
-10+59 = 5m = 7 + 3m
49 = 5m = 7 + 3m
49 - 7 = 5m - 3m
42 = 2m
42/2 = m
m= 21
What is the area of a rectangle with vertices (2, 3), (9, 3), (9, Negative 2), and (2, Negative 2)?
---square units
Answer:
35 units
Step-by-step explanation:
edg
How many different 5-digit PIN codes are there that only include the digits 7, 2, 4, 6, 9 and 3?
Answer:
720
Step-by-step explanation:
6*5*4*3*2=720
HELP PLSSS ILL MARK YOU BRAINLIIEST !!!!!!!!!!
Answer:
5.6
Step-by-step explanation:
factorize 4x^3 -8x^2- 12x
Answer:
Step-by-step explanation:
4x³ - 8x² - 12x = 4x ( x² - 2x - 3)
= 4x (x² + x - 3x - 3*1)
= 4x [ x(x + 1) - 3(x +1)]
= 4x [ (x +1) (x - 3)]
= 4x (x + 1)(x-3)
Answer:4x^3 -8x^2- 12x
Taking common4 x
4X(x²-2x-3)
Doing middle term factorization
4x(x²-3x+x-3)
4x(x(x-3)+1(x-3))
4x(x-3)(x+1) is your answer
Step-by-step explanation:
The sides of a rectangle are in the ratio of 6:5. The perimeter is
132cm. What is the length of the longest side?
Help please.
Grant walks 4/5 of a mile in 1/4 hour. What is his ratio of miles to hours in simplest form?
Answer:
You can always ask the tutor they give the correct answer :))
HELP WILL MARK BRAINLIEST IF GOTTEN RIGHT PLS DONT GET WRONG IF U DONT KNOW
Answer:
C) x = 9
Step-by-step explanation:
6/4 = x/6
4x = 36
x = 9
2{x+8}+5{x-1}=60 answer
Answer:
x=7
Step-by-step explanation:
2{x+8}+5{x-1}=60
Distribute
2x+16+5x-5 = 60
Combine like terms
7x +11 = 60
Subtract 11 from each side
7x+11-11 = 60-11
7x = 49
Divide each side by 7
7x/7 = 49/7
x = 7
Jason bought 3 shirts for $24.99 each . How much did he spend on shirts
Answer:
he spent $8.33 on each shirt
If I have a meal that cost 6.14 and I have $8 how much change do I get
Answer:
8-6.14= 1.86
That's what you get
Answer:
you would get $1.86 back
10.
Find the slope of the line.
A. 3
B. [tex]-\frac{1}{3}[/tex]
C. –3
D. [tex]\frac{1}{3}[/tex]
Answer:
The slope of the line 3.
Step-by-step explanation:
The line is going through 3. Although it is not -3, because if the line is sloping upward from left to right, then the slope is positive (+). If the line is sloping downward from left to right, the slope is negative (-).
Answer: The answer is either letter A or letter D
0
Hint 1: Find the direction cosines of AB and BC. Then take their dot product. This will give the cosine of the angle between AB and BC.
Hint 2: The Direction Cosines of PQ, P(x1,y1,z1) and Q(x2,y2,z2), are (±x2−x1(x2−x1)2+(y2−y1)2+(z2−z1)2√,±y2−y1(x2−x1)2+(y2−y1)2+(z2−z1)2√,±z2−z1(x2−x1)2+(y2−y1)2+(z2−z1)2√)
Edit: The Dot Product works iff the lines intersect.
B is the intersect point , doesn't matter if it's in 2D or 3D – Ali Apr 28 '18 at 5:52
0
Lines in dimension three do not have to intersect. We find their direction vectors to see if they are parallel.
Note that
AB→=<x2−x1,y2−y1,z2−z1>
and
BC→=<x3−x2,y3−y2,z3−z2>
These vectors are the direction vectors are your lines.
The dot product
AB→.BC→
along with the norms of these vectors determine the angle between the lines if they intersect at all.
cosθ=AB→.BC→||AB||.||BC||
Step-by-step explanation: This is for the picture
Center: (0, 0)
Width: 10
Angle: 0 rad
Height: 6.8
Opacity: 1
4
The formula for the volume of a sphere is
V= 3 #rº. What is the formula solved for r?
Answer:
B. r = 3√(3V - 4π)
Step-by-step explanation:
volume of a sphere,V = 4/3πr³
Solve for r
V = 4/3πr³
V - 4/3π = r³
r³ = V - 4π/3
Cross product
r³ = V*3 - 4π
r³ = 3V - 4π
Find the cube root of both sides
3√r³ = 3√(3V - 4π)
r = 3√(3V - 4π)
Kameron grandmother gives him 20 dollors for his birthday to put into his saving account , and he also saves his weekly allowance of 10 dollors
Answer:
y=10w+20
or 20+10w=y
Step-by-step explanation:
just a mixture of those