Answer:
The smallest number of chocolates in the box is 124.
Step-by-step explanation:
There are always 4 bars of chocolates left in the box when they are share equally among 8, 10, or 12 children.
This means that the smallest number of chocolates in the box is 4 added to the least common multiple of 8, 10 and 12.
LCM(8,10,12).
We factore them by prime factors until all are 1. So
8 - 10 - 12|2
4 - 5 - 6|2
2 - 5 - 3|2
1 - 5 - 3|3
1 - 5 - 1|5
1 - 1 - 1
So
lcm(8,10,12) = 2*2*2*3*5 = 8*15 = 120
Adding 4: 120 + 4 = 124
The smallest number of chocolates in the box is 124.
Pls help extra points and mark brainlist
Answer:
(12)3=36
Step-by-step explanation:
i don't know.. I think this is what the question is trying to say XD
Answer:
(12)3=36
Step-by-step explanation:
A and T are variables.
The variable (48 - A) is directly proportional to the square of the variable T.
A is 28 when T = 2
(a) Find the formula for (48 - A) in terms of T.
please answer fasttt
Answer:
20 is the answer
Step-by-step explanation:
48-28=20
The geometric mean between 8 and 18.
a) 8
b) 12
c) 14
d) 16
Explanation:
The geometric mean of two positive numbers a and b is √ab. The ratio a:√ab is equal to the ratio √ab:b.
b
The diagram shows a cuboid.
4 cm
5 cm
9 cm
What is the volume of the cuboid?
Asap
Answer:
180
Step-by-step explanation:
9x5=45
45x4=180
Answer:
180 cm^3
Step-by-step explanation:
4x5x9=180
Hope this helps! ;)
i dont really understand... it says to use vertical angle theorem
Answer:
The virtical angle theorem is that virtical angles are congruent, or equal. A vertical angle is like the angles in an X. The opposite angles are congruent, like in the picture, it is the unknown angle and the angle touching it.
The table shows the linear relationship between x, the altitude in feet, and y, the boiling point of water in degrees Fahrenheit. What are the slope and y- intercept of the line that models this situation?
A. Slope=- 0.0018, y-intercept = 212
B. Slope= 0.0018, y-intercept =-212
C. Slope =212, y- intercept= 0.0018
D. Slope=-212, y-intercept = 0.0018
Answer:B
Step-by-step explanation
The slope of the linear relation is -0.0018 and the y-intercept will be 212. The correct option is B.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data in the table is,
Altitude(x) Boiling point (y)
0 212.0
500 211.1
The slope will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 211.1 - 212 ) / (500 - 0 )
Slope = -0.0018
The y-intercept will be calculated as,
y = mx + c
212 = 0 + c
c = 212
Therefore, the slope of the linear relation is -0.0018 and the y-intercept will be 212. The correct option is B.
To know more about an equation of the line follow
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In the functions in the table, x is the price of each chair. The functions give the revenue (R) and costs (C) that Carrie’s business can expect in a year at a given price for the item. Use graphing tools to examine the graphs for each set of equations. Then select the correct answer from each drop-down menu.
9514 1404 393
Answer:
Material 2 can deliver the highest profit of about 3,225,000Material 3 is profitable for the widest range of pricesStep-by-step explanation:
The graphs of profit are shown in the attachment. Each is the difference between the revenue function and the cost function.
Material 2 (blue curve) shows the highest profit.
Material 3 (green curve) shows a profit over the widest range of prices.
What does it mean when a problem asks for an expression
Answer:
when it asks for an expression it means an equation
ex.) 2x+3 =5
Step-by-step explanation:
can someone help me solve these two problems? i need to find what x is.
Answer:
1. x=2
2. x= 0.33
Step-by-step explanation:
1.So to start off you have a coefficient for 2 so you have to find what 2 to the power of 2 is =4 so then you have your new problem 4x+5=13 next you need to get 4x by itself so
-5 -5
then you have 4x=8. you divide by 4 on both sides
4. 4
so then you get x=2
2.So same here find what 3 to the power of 2 is =9
New equation 4x-1=9x+4x-4. Then combine like terms on the right you cant do it on the left because that is a separate part and those dont merge like terms so
9x+4x = 13x
new equation. 4x-1=13x-4
next subtract 4x on both sides
13x-4x=9x
new equation. -1=9x-4
next add 4 to both sides
-1+4= 3
new equation. 3=9x
so then divide 9 on both sides
3÷9= 0.33
x= 0.33
Hope this made sense and helps
Mr Harris had a piece of rope that measured 10 feet. He cut it into 15 equal pieces. How long was each piece?
Answer:
I think that it is 8 inches
Step-by-step explanation:
I multiplied 10 times 12 because there is 12 inches in a foot. Then I divided 120 by 8.
I hope this is right
A line's y -intercept is 10,and its slope is 9 . What is its equation in slope-intercept form?
Answer:
y = 9x + 10
Step-by-step explanation:
y = mx + b
Here, m is slope and b is y-intercept
y = 9x + 10
I need some help please
Answer:
might be the [tex]\sqrt{74}[/tex] because it equals 8.6 and the missing angle is slightly loger than the 7 butyou never know i might be wrong
Step-by-step explanation:
Answer it fast please
Answer:
0.00446
Step-by-step explanation:
We need to find the value of the following expression :
[tex]\dfrac{(\dfrac{95}{17})^{-3}}{(\dfrac{15}{17})^{-2}}[/tex]
We know that, [tex]\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times \dfrac{d}{c}[/tex]
So,
[tex]\dfrac{(\dfrac{95}{17})^{-3}}{(\dfrac{15}{17})^{-2}}=(\dfrac{95}{17})^{-3}\times (\dfrac{17}{15})^2\\\\=0.00446[/tex]
So, the value of the given expression is 0.00446.
Solve for x (round to the nearest hundredths of a degree)
PLEASE HELP ME DUE IN A HR
Answer:
x = 34.85
Step-by-step explanation:
Apply trigonometric ratio formula to find x
Reference angle = x
Side opposite to x = 4
Hypotenuse = 7
Therefore,
Sin x = opp/hyp = 4/7
x = sin-¹(4/7)
x = 34.85° (nearest hundredth)
2 in.
Find the surface
area of this figure.
2 in.
8 in.
[?] square inches
8 in.
5 in.
12 in.
10 in.
Answer:
528
Step-by-step explanation:
Surface area of bottom block + Surface area of top block - 2(Shared surface area)
Bottom block: 2(10*12) + 2(5*12) + 2(5*10) = 240 + 120 + 100 = 460 square inches
Top block: 2(2*2) + 4(2*8) = 8 + 64 = 72 square inches
Shared surface area = 2*2 = 4 square inches
Plugging into our formula:
460 + 72 - 4 = 528 square inches
The new Samsung 9 phone costs $500, and has a sales tax of 15%. What is the final price?
Answer:
575
Step-by-step explanation:
500 x .15 = 75
500 + 75 =575
Use the Pythagorean Theorem to find the missing side.
Round to the nearest tenth
10 m
7.5 m
The fourth one 12.5!
It's self-explanatory, hope this helps!
Mia said that 2 - 3a = 11 and 3a -2 +1 have the same solution. Is she correct? Explain.
Maggie wants to buy a new energyefficient refrigerator. Her old refrigerator uses about 1200 kWh per year,while the new one would use about 400 kWh per year. Approximately how much money would Maggie saveper year if she buys the new refrigerator?
Answer:
800 Kwh
Step-by-step explanation:
To solve this problem, we need to find the difference in energy saved and then multiply by the cost of 1kWh of electricity
How much did Maggie save?Let's first of all calculate the the difference in energy saved
Data;
old refrigerator = 1200kWhnew refrigerator = 400kWh[tex]1200 - 400 = 800kWh[/tex]
Maggie would've saved 800kWh in one year.
But since we were not given a standard cost of electricity, we would assume that 1kWh will cost $1.
So, to determine how much she must've saved, we simply multiply $1 by 800kWh
[tex]1 * 800 = $800[/tex]
Using our assumptions, she would've saved $800 in one year.
Learn more on rate of power here;
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MIguel is making a trail mix. He Uses five and one third ounces of nuts and two and tree fourths ounces of raisins Which of these is a reasonable estimate for how much more nuts Miguel uses than raisins?
(Keep as a fraction and don’t change to decimal please)
Answer:
[tex]\frac{31}{12}[/tex] more nuts would be used by Miguel then raisins
Step-by-step explanation:
The computation is shown below:
Nuts used [tex]= 5 \frac{1}{3} = \frac{16}{3}[/tex]
Raisins used [tex]= 2 \frac{3}{4} = \frac{11}{4}[/tex]
Now the difference between them is
[tex]= \frac{16}{3} - \frac{11}{4}\\\\= \frac{64 - 33}{12} \\\\= \frac{31}{12}[/tex]
Hence, [tex]\frac{31}{12}[/tex] more nuts would be used by Miguel then raisins
Pls help I’ll brainlest for the correct answer
Answer:
3+11a=80
Step-by-step explanation:
3+11a=80
11a=77
a=7
en la tienda la cuquita vende queso cortado en trosos de diferentes pesos calculen presios y pesos para completar la infomacion 3n las etiquetas. 1000g = 1250g= =160.00. = 14.00. 100g= 650g= 6659g= 250g=$150.00. =16.00
answer 143.00 Step-by-step explanation:
can anyone give me the answer?
Answer:
169
Step-by-step explanation:
The square area is 64 and the paralellogram is 105
Add those two: 64+105=169
Will give brainliest
Answer:
PR= 8
ST=5
Step-by-step explanation:
PQ and PR are congruent so
2x=8
x=4
2*4=8
PR=8
ST and TU are congruent so
5z=2z+3
3z=3
z=1
5*1=5
ST=5
Answer:
PR=8
ST=5
Step-by-step explanation:
PR
QS=SR (marked)
a²=b²+c² (TRIANGLE PQS)
PQ²=PS²+QS²
8²=PS²+SR² (PQ=8, QS=SR)
64=PS²+SR²
a²=b²+c² (TRIANGLE PRS)
PR²=PS²+SR²
(2x)²=64
2x=8
x=4
PR=2x=2(4)=8
ST
a²=b²+c² (TRIANGLE VUT)
VT²=TU²+UV²
VT²=(2z+3)²+UV²
VT²=4z²+12z+9+UV²
a²=b²+c² (TRIANGLE VST)
VT²=VS²+ST²
VT²=VS²+25z²
4z²+12z+9+UV²=VS²+25z²
21z²-12z-9=0
7z²-4-3=0
(7z+3)(z-1)=0
z=-3/7 or z=1
cant be neg, z=1
ST=5(1)=5
Determine if the equation has the same slope as the equation
y = 2r - 4.
1. y = 2x + 4
2. y = -2x + 3.3. y = 4x - 2
4.3x - 4
Graph each equation using the slope and the y-intercept.
Answer:
Step-by-step explanation:
only y=2x+4 has the same slope as y=2x-4
slope=2
For each expression, select all equivalent expressions from the list 1. 24x - 18 A. 6(4x -3) B. 6 C. 4(6x - 4) D. 12x - 9
Answer:
A
Step-by-step explanation:
PLEASE HELP WILL GIVE LOTS OF POINTS & BRAINLY!!
Answer:
the amplitude is 5
the period is 4 pi
Step-by-step explanation:
True or false?
The length of the intercepted arc is equal to the circumference of the circle.
Answer:
True
Step-by-step explanation:
Which is Q=200p/L solved for p
Answer:
P = QL/200
Step-by-step explanation:
PLS HELP Does the following table of values represent an exponential function?