Answer: 320 grams
Step-by-step explanation:
Let the mas of the teapot be denoted by a
Let the mass of the cups be denoted by c
The question can be turned into an equation which will be:
a + 4c = 1280 ......... equation i
a + 10c = 2720 ........ equation ii
Subtract equation i from ii
6c = 1440
c = 1440/6
c = 240 grams
The mas of the cup is 240 grams
From equation i
a + 4c = 1280
a + 4(240) = 1280
a + 960 = 1280
a = 1280 - 960
a = 320 grams
The mass of the teapot is 320 grams
Complete the square to put () in vertex form. () = 3
2 + 30 − 12. What is the vertex?
Answer:
A and A
the equation of a parabola in vertex form is
y = a(x - h)² + k
where ( h, k ) are the coordinates of the vertex and a is a multiplier
y = - 2(x + 3)² + 2 is in this form
with vertex = ( - 3, 2)
To find the y-intercept let x = 0
y = - 2(3)² + 2 = - 18 + 2 = - 16
Similarly
y = - 2(x + 2)² + 2 is in vertex form
vertex = ( - 2 , 2)
x = 0 : y = - 2(2)² + 2 = - 8 + 2 = - 6 ← y- intercept
hope this helped
whats 4*4
hrry answer it
Answer: 16
Steps: 4 × 4 = 16
PLz mark brainliest:)
Answer:
16
Step-by-step explanation:
4*2 is 8 and 8+8 is 16.
can anybody help me know the Pythagorean theorem
Answer:
[tex]8^{2} +U^{2} =17^{2}[/tex]
solve the squared numbers
[tex]8^{2} =64[/tex]
[tex]17^{2} =225[/tex]
[tex]64+U^{2} =225[/tex]
subtract 64 from 289
[tex]U^{2} =225[/tex]
square root 225
[tex]U=[/tex][tex]\sqrt{225}[/tex]
simplify that
[tex]U=[/tex][tex]\sqrt{15^2}[/tex]
[tex]U= 15[/tex]
You are making picnic baskets. The list shows the items you are putting into the baskets. You want identical groups of items in each basket with no items left over. What is the greatest number of picnic baskets you can make? 32 sandwiches 40 granola bars 48 apples
Answer:
8 picnic baskets
Step-by-step explanation:
We are told in the question we have :
32 sandwiches
40 granola bars
48 apples
The greatest number of picnic baskets we can have is calculated using greatest common factor method
The factors are:
The factors of 32 are: 1, 2, 4, 8, 16, 32
The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40
The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Then the greatest common factor is 8.
Therefore, the greatest number of picnic baskets you can make is 8 picnic baskets.
Step-by-step explanation
We are told in the question we have :
32 sandwiches
40 granola bars
48 apples
what equation represents the line that passes through (-2,-1) and has a slope of 5
Answer:
y + 1 = 5 (x+2) in point slope form or y = 5 x + 9 in intercept slope form
Step-by-step explanation:
Answer:
y=5x+9
Step-by-step explanation:
Ron remembers that the second factor was a decimal. Based on the placement of the decimals in the first factor and the product, which must be true of the second factor? The decimal could be one-tenth. The decimal could be two-tenths. The decimal could be five-tenths. The decimal could be seven-tenths.
Answer: The decimal could be two-tenths.
Step-by-step explanation:
Two tenth as a product of decimals, 2/10 = 0.2. What this means is that a tenth is on of equal parts of something. e.g i received two tenth of the 30 bananas, what this implies is that he received 6 pieces of the bananas and this can be gotten by 2/10*30 = 6.
Answer:
b
Step-by-step explanation:
PLEASE HELP THANK YOU
the most points you will EVER GETTTTTT i would do more points but brainly doesn't let me
Answer:
Ah Thanks so much
Step-by-step explanation:
I am so bored by the way...
Answer:
daaslkfnsdlfknsdfnsdnfsdf
Step-by-step explanation:
What the equation of the line that is perpendicular to the line y = −3x + 5 that goes through point D (9, 2)?
Answer:
y=1/3-1 ...............
Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries. He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years. Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal?
Given :
Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries.
He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years.
To Find :
Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal.
Solution :
Let, after x years Abraham visited y countries.
It is mathematically given as :
[tex]10 + 5x=y[/tex]
Now, it is given that his goal is minimum of 50 countries.
So,
[tex]10+5x \ge 50\\\\5x\ge 40\\\\x \ge 8[/tex]
Therefore, minimum years required to meet his goals are 8.
Hence, this is the required solution.
Answer:
Im pretty sure the answer is C
Step-by-step explanation:
Good Luck!!!
If f(x) = 2x2 + 5x - 8 and f(x) = -10,
which of the following could be a
value for x?
-2
Answer:
x = -2 or x = -1/2
Step-by-step explanation:
We can just set up an equation where the quadratic is equal to -10, and then solve the equation:
[tex]2x^2+5x-8=-10\\2x^2+5x+2=0\\\\[/tex]
Now, factor:
[tex](2x+1)(x+2) = 0\\x=-2 \text{ or } x=-1/2[/tex]
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-2,8) and (3, 4)
Answer:
6.40
Step-by-step explanation:
(This is on my quaturly check Help!!!) ABC and CBD are supplementary angles. m/ABC=(5x+12) and m/CBD=(13x+24).Complete all the parts plz!
Answer:
Step-by-step explanation:
Part (A).
Angles ABC and CBD are the supplementary angles.
Therefore, m(∠ABC) + m(∠CBD) = 180°
Now substitute the measure of each angle in the equation,
(5x + 12)° + (13x + 24)° = 180°
18x + 36 = 180
18x = 180 - 36
18x = 144
x = 8
Part (B).
m∠ABC = (5x + 12)
= 5(8) + 12
= 52°
m∠CBD = (13x + 24)
= 13(8) + 24
= 104 + 24
= 128°
Part (C).
We can check the results by adding measures of these angles.
m∠ABC + m∠CBD = 52 + 128
= 180°
Therefore, both the angles are supplementary angles which is already given.
If the area of a rectangle is 6m², then the dimensions must be 2 meters by 3 meters. True or False?
Answer:
true
Step-by-step explanation:
PLEASE HURRYYYY
find three points that solve the equation x- 4y=-18
Answer:
one of the three plots is (-2,4)
Step-by-step explanation:
Points C, D, and E are collinear. You are given CD = 18 and CE = 27. What is a possible measure of DE?
0 A 6
B. 7
C. 8
D. 9
HELP PLS
Answer:
9
Step-by-step explanation:
The measure of DE is 9 units. Therefore, option D is the correct answer.
Given that, points C, D, and E are collinear, CD = 18 and CE = 27.
What are collinear points?Collinear points are the points that lie on the same straight line or in a single line.
Now, points C, D, and E are collinear.
CE = CD+DE
⇒ 27 = 18 + DE
⇒ DE = 27-18
⇒ DE = 9
The measure of DE is 9 units. Therefore, option D is the correct answer.
To learn more about the collinear points visit:
https://brainly.com/question/1593959.
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Kaylee and Rory have a circular swimming pool. The pool has a cover that fits snuggly over the top of it. If the radius of the pool is 12 ft, what is the surface area of the cover?
Answer:
oi
Step-by-step explanation:
Answer:
11 feet maybe
Step-by-step explanation:
N
What is the value of y?
O 3V3 units
O6v3 units
U
3
9V3 units
O 12V3 units
T
M
Answer: b
Step-by-step explanation:
Just took the test
The value of y is 12√3
Pythagoras theoremFrom the diagram given, we are to find the value of "y"
First, we need to get the length of TU
TU² = 6² - 3²
TU² = 36 - 9
TU = √27
Next is to get the value of y
y² = (√27)² + 9²
y² = 27 +81
y = √108
y = 12√3
Hence the value of y is 12√3
Learn more on pythagoras theorem here: https://brainly.com/question/343682
please answer the question hurry up get 25 point
Answer:
[tex]x = - 1.[/tex]
Step-by-step explanation:
[tex] {2}^{x} = \frac{1}{2} \\ {2}^{x} = {2}^{ - 1} \\ x = - 1.[/tex]
♨Rage♨
Step-by-step explanation:
Hey there!
Given;
[tex] {2}^{x} = \frac{1}{2} [/tex]
We know that (1/2) can be written as 2^-1. So, it will be;
[tex] {2}^{x} = {2}^{ - 1} [/tex]
Looking on both sides we find that both have same base. So,
x = -1
(Note: While solving the exponential equation you must make base same by simplifying them and then equate the power)
Hope it helps...
Mrs moretti is making welcome bags to give to the 18 students in his homeroom on the first day of school. He puts m mechanical pencils in each bag. He puts twice as many regular pencils in each bag. Which expressions represent the total number of pencils Mr Moretti gives to his students? CHOOSE ALL THAT APPLY: a.) m+2m b.) 18(m+2m) c.) 18+m+2m d.) 18m+18(2m) e.) 54m f.) 18+3m
Answer:
b.) 18(m+2m)
d.) 18m+18(2m)
e.) 54m
Step-by-step explanation:
Given;
total number of Mr Moretti's students = 18
number of mechanical pencils for each student = m
total number of mechanical pencils for all the students = 18m
number of regular pencils for each student = 2m
total number of regular pencils for all the students = 18(2m)
The total number of pencils given to all the 18 students by Mr Moretti is given by;
T = Total mechanical pencils + total regular pencil
T = 18m + 18(2m)
T = 18(m + 2m)
T = 18(3m)
T = 54m
Therefore, based on the expressions above, the correct options include;
b.) 18(m+2m)
d.) 18m+18(2m)
e.) 54m
Answer:
18(m+2m)
18m+18(2m)
54m
Step-by-step explanation:
I took the quiz.
Mrs. Trout can bake 5 dozen
cookies in 70 minutes. How
many dozen can she bake in
112 minutes?
Answer:
She can bake 8 dozen cookies in 112 minutes.
Step-by-step explanation:
70/5 =14
112/14= 8
Select each polynomial expression that could be factored by grouping.
Answer:
The 2nd and 3rd option
Step-by-step explanation:
They can be separated into 2 pairs and factored
HELP please ASAP Hw for math class
A,B,C OR D
PLS HELP..
Answer:
DDDDDDDDDDDDDd
Step-by-step explanation:
Answer:
its d
Step-by-step explanation:
its steeper than the others
The mean survivial time after diagnosis for a certain disease is 15 years with a standard deviation of 5 years. Based on a particular treatment, an individual's predicted survival time is 2.8 standard deviations beyond the mean. How much longer, after diagnosis, is the patient expected to survive?
Answer:
The time the patient expected to survive after diagnosis is 29 years.
Step-by-step explanation:
It is provided that the mean survival time after diagnosis for a certain disease is 15 years with a standard deviation of 5 years.
That is,
[tex]\mu=15\\\sigma=5[/tex]
An individual's predicted survival time is a = 2.8 standard deviations beyond the mean.
Compute the time the patient expected to survive after diagnosis as follows:
[tex]X=\mu+a\sigma[/tex]
[tex]=15+(2.8\times 5)\\\\=15+14\\\\=29[/tex]
Thus, the time the patient expected to survive after diagnosis is 29 years.
Find the value of 5x+6 when x=-2
Answer:
-4
Step-by-step explanation:
5 times negative -2 is -10 and you just add 6 so the answer is -4
The value of 5x + 6 when x = -2 will be -4.
What is Expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is the following expression -
5x + 6
Given is the following expression -
5x + 6
At x = -2, we can evaluate the expression as -
5x + 6
5 x -2 + 6
-10 + 6
-4
Therefore, the value of 5x + 6 when x = -2 will be -4.
To solve more questions on Evaluating expression, visit the link below-
https://brainly.com/question/13589173
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a) What is y=mx+b?
b) What does the m stand for?
c) What does the b stand for?
d) Where do I find the x & y?
e) If I get two coordinate points how do I find the slope? What is the formula?
f) If I get a graph, how do I find the slope?
A carpenter cuts a circle out of a piece of wood. The radius of the circle is
about 23 inches. The carpenter cuts the circle into two semicircles. What is
the area of one semicircle to the nearest hundredth? Use 3.14 for
Answer:
830.53 in²
Step-by-step explanation:
To find the area of one semicircle, find the area of the full circle and divide it by 2:
Use the circle area formula, A = [tex]\pi[/tex]r²
Plug in 3.14 as pi, and plug in the radius:
A = [tex]\pi[/tex]r²
A = 3.14(23²)
A = 1661.06
Divide this by 2:
1661.06 / 2
= 830.53
So, the area of one semicircle is 830.53 in²
Answer:
850.53 in² is the answer
Write an algebraic expression that represents the sum of 3 and one sixth of X
Answer: 3 + 1/6x
Step-by-step explanation:
From the question, we are informed to write an algebraic expression that represents the sum of 3 and one sixth of.
In mathematics, sum means addition. Therefore, the algebraic expression will be gotten by adding 3 to 1/6 of x. This will be:
= 3 + (1/6 × x)
= 3 + 1/6x
Krego earns $2,456.75 every month. He also earns an extra $4.75 every time he sells a new gym membership. Last month, Krego sold 32 new gym memberships. How much money did Krego earn last month? Round to the nearest penny when necessary.
Answer:
$2600.75Step-by-step explanation:
let us first model the total amount he makes
say the number of sales made us x
let the total made be y
y=2456.75+4.5x
given that the amount of sales is 32
let us put x=32 in the expression to get the total amount
y=2456.75+4.5(32)
y=2456.75+144
y=2600.75
therefore if he sale 32 new gym membership he will make $2600.75