Answer:
1000
Step-by-step explanation:
So the taken chocolate weight equals to the original 1 box of chocolate.
Thus there are 200 x 5 = 1000g.
The orginal chocolate has 1000g each.
Help please and thanks!
Answer:
9. x = 31°
10. m∠ABC = 62°
11. m∠BCA = 60°
Step-by-step explanation:
We are given the following values for ΔABC, and its exterior angle, ∠ACD:
In ΔABC, the two nonadjacent interior angles are:
m∠A = 58° m∠B = 2x°While the exterior angle, m∠ACD = (5x - 35)°.
In order to solve for questions 9 through 11, we must apply the Exterior Angle Theorem which states that the measure of the exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent or remote interior angles.
Question 9:In order to find the value of x, we can use the Exterior Angle Theorem:
m∠ACD = m∠A + m∠B
(5x - 35)° = 58° + 2x°
5x° - 35° = 58° + 2x°
Subtract 2x from both sides:
5x° - 2x - 35° = 58° + 2x° - 2x
3x - 35° = 58°
Next, add 35° to both sides:
3x° - 35° + 35° = 58° + 35°
3x° = 93°
Divide both sides by 3 to isolate x:
[tex]\displaystyle\mathsf{\frac{3x}{3}\:=\:\frac{93}{3} }[/tex]
x = 31°
Therefore, the value of x = 31°.
Question 10:In order to find m∠ABC, we must first substitute the value of x into m∠B:
m∠B = 2x° = 2(31)° = 62°
Therefore, m∠ABC = 62°.
Question 11:In order to find m∠BCA, we must first find the value of its supplement, m∠ACD, by substituting the value of x derived from question 9.
m∠ACD = 5x° - 35° = 5(31)° - 35° = 120°
Next, substitute the value of m∠ACD into the following equation:
m∠BCA + m∠ACD = 180°
m∠BCA + 120° = 180°
Subtract 120° from both sides:
m∠BCA + 120° - 120° = 180° - 120°
m∠BCA = 60°
Therefore, m∠BCA = 60°.
Verify:In order to verify whether we have the correct values for each interior angles, we can apply the Triangle Sum Theorem which states that the sum of all interior angles of a triangle is equal to 180°. In other words:
m∠A + m∠B + m∠C = 180°.
58° + 62° + 60° = 180°
180° = 180° (True statement).
What is the common difference in the sequence below? 9, 2, -5, -12, ......
Select one:
a. -5
b. -6
c. -8
d. -7
Answer:
-7
Step-by-step explanation:
a=9 a2=2 a3=-5 a4=-12
d = a4-a3 ,a3-a2, a2-a.
so:
d = -12-(-5) =-12+5 =-7
also;
d = -5-2 = -7
and
d= 2-9 =-7
so the common difference is -7
Answer:
-7
Step-by-step explanation:
We know that
Common difference = a2 - a1
=> 9 - 2
=> -7
what is the example of a product that will have the same number of zeros in the factors and the products? what is one example of a product that will not have the same numbers of zeros in the factors as the product
Answer:
same: 30×40 = 1200different: 20×50 = 1000Step-by-step explanation:
Same: 30×40 = 1200 . . . . . 2 zeros in the factors; 2 in the product
Different: 20×50 = 1000 . . . 2 zeros in the factors; 3 in the product
__
Same: 0.3×0.4 = 0.12 . . . . no zeros in the factors; no zeros in the product
Different: 0.2×0.4 = 0.08 . . . no zeros in the factors; 1 zero in the product after the decimal point
_____
For a product, the number of zeros will be different if the combined factors of the numbers increase the number of factors of 10 beyond the sum of the factors of 10 of the numbers being multiplied.
Example: neither 2 nor 5 has a factor of 10, but their product does.
__
For a product that is a decimal fraction, the number of leading zeros will increase if the product of the mantissas of the numbers is less than 10. The number of trailing zeros will increase under the conditions discussed above. (0.25×0.4 = 0.100)
_____
Additional comment
Here, the term "mantissa" is used to refer to the portion of the number written in scientific notation that multiplies the power of 10.
What are the common factors of 24 and 36?
O A. 1,2,4,6, 12
O B. 1,2,3,4,6,12
C. 1,2,3,4,6,8,12
O D. 1,3,4,9,18
Answer:
B. 1,2,3,4,6,12
Step-by-step explanation:
Factors of 24: 1, 24, 2, 12, 3, 8, 4, 6
Factors of 30: 1, 36, 2, 18, 3, 12, 4, 9, 6,
9 X 19 + 2 X 57 - 75 = n
Answer:
210
Step-by-step explanation:
juss a fact
Answer:
210
Step-by-step explanation:
First you do 19 times 9 which is 171. Then you do 57 times 2 which is 114. Then you add 171 to 114 which gives you 285. Then you subtract 75 from it and that gives you 210
Josh and Adelina are staff members for a political candidate. They are considering hiring callers who will call
voters and ask for donations.
Josh and Adelina define X as the amount donated by a given voter they call. Based on data from their volunteer
callers, the expected value of X is E(X) = $18.07.
Adelina says, "For every 100 voters we call, we can expect to bring in about $1,807 in total donations."
Josh says, "If we call a very large number of voters, the average donation will be close to $18.07."
Whose statement is correct based on the expected value?
According to the given expected value, it is found that Josh's statement is correct.
The interpretation of the expected value is that over a large number of trials, the average value will be close to the expected value.In this problem, the expected amount donated by a given voter they call is $18.07.
Hence, considering a very large number of voters called, the average amounts of their donations will be close to $18.07, hence, Josh's statement is correct.100 voters is not a large amount, hence the expected value should vary around $18.07, and we can't say that Adelina's statement is correct.You can learn more about expected value at https://brainly.com/question/25858347
Answer:
both correct :)
Step-by-step explanation:
When solving a quadratic in the form ax2 + bx + c = 0 we are really finding the x–intercepts. These x–intercepts are also called roots. What is another term for roots or x-intercepts? put it in a full sentence for me please
Answer:
solutions
Step-by-step explanation:
Another term for the roots or x-intercepts of the standard-form quadratic equation is "solutions." These are the values of x that make the equation true.
If xy + xb + ya + ab = 32 and x + a = 4 , then x + b =
and i will give BRAINLIEST
Answer:
Step-by-step explanation:
If you're actually looking for y + b rather than x + b
Then
xy + xb + ya + ab = (x + a)(y + b) = 32
4(y + b) = 32
y + b = 8
otherwise we have a situation with only two equations and four unknowns. This cannot be resolved without further information.
PLS HELP ILL MARK BRAINLIEST
TechWiz Electronics makes a profit of $35 or each MP3 player sold and $18 for each DVD player sold. Last week, TechWiz sold
combined total of 143 MP3 and
DVD players.
Let x be the number of MP3 players TechWiz sold last week. Write an expression
TechWiz made from MP3 and DVD players last week.
for the combined total profit (in dollars)
Answer:
Total profit=$35x+$18(130-x)
Total profit=$35x+$2340-$18x
Total profit=$17x+$2340
Step-by-step explanation:
Find the area for each of the given shapes below. If a shape has shading, find the area of the shaded region only.
Answer:
a. 39 ft²
c. 2x² +11x +12
e. 35 yd²
Step-by-step explanation:
a.The missing vertical dimension is 5-3 = 2'. The missing horizontal dimension is 11-8 = 3'. Then the figure can be decomposed into a rectangle 11'×3' and one that is 3'×2'. The sum of those areas is ...
total area = (11 ft)(3 ft) +(3 ft)(2 f) = (3 ft)(11 +2 ft) = (3 ft)(13 ft) = 39 ft²
__
c.We don't know what to make of the rectangles in each corner, so we'll assume they are distorted right-angle indicators. The area is the product of the dimensions shown:
A = LW
A = (2x +3)(x +4) = 2x² +11x +12 . . . area of figure
__
e.The shaded area is half the area of the rectangle. That is the same area you get if you use the triangle formula for the area of the shaded triangle.
A = 1/2(14 yd)(5 yd) = 35 yd²
Calculator
6 mm
What is the area of this figure?
6 mm
Enter your answer in the box.
8 mm
8 mm
mm
Answer:
[tex] {84mm}^{2} [/tex]
Step-by-step explanation:
Area of square= l×l
Area of square= 6mm × 6mn
Area if square = 36 mm²
Area of triangle 1= ½b ×h
Area of triangle 1= ½ (6mm)(8mm)
Area of triangle 1 = 24 mm²
Area of triangle 2 is the same as area of traingle 1 because they have the same base and hight
: . area of triangles is 48mm²
Area of the figure= Area of square + Area of triangles
A of figure = 36+48
A of figure = 84 mm²
Option 2
Use trapezium formula
Area of trapezium= (a+b)/2 * h
a=6 mm (base)
b=8+6=14 mm (Base)
h= 6mm (height)
[tex]area \: of \: trapezium = ( \frac{6 + 14}{2} )(6) \\ = 60mm ^{2} [/tex]
Therefore the area of triangle= 24mm² as calculated in option 1
Area of the figure= Area of trapezium +Area of triangle
Area of figure = 60+24
= 84 mm²
GIVING BRAINLEST!
What is the location of this point?
y-axis
x-axis
5
Answer:
0,0
Step-by-step explanation:
because it is in the centre of the graph
Given the following acceleration function of an object moving along a line, find the position function with the given initial velocity and position.
a(t) = -24; v(0) = 17, s(0) = 0
s(t) =
Answer:
Position function is [tex]s(t)=-12t^2[/tex]
Step-by-step explanation:
Given [tex]a(t)=-24[/tex], since velocity is the antiderivative of acceleration, then [tex]v(t)=-24t[/tex].
Also, since position is the antiderivative of velocity, then [tex]s(t)=-12t^2[/tex].
USE THE DIATRIBUTIVE PROPERTY TO WRITE 6(W=5) AS AN EQUIVALENT EXPRESSION
answer ?
30 or 30W
Step-by-step explanation:
this isn't a real equation. you can't have an equal sign inside a parentheses but assuming that the question is 6(W) and W equals 5, we can substitute the 5 and distribute the 6 to get 6x5 = 30
Do these ordered pairs represent a function? {(4,1), (5,2), (8,2), (9,8)} *
Answer:
Yes
Step-by-step explanation:
A function is a set of ordered pairs in which each x-element has only ONE y-element associated with it, but while it may NOT have two y-values assigned to the same x-value, it may have two x-values assigned to the same y-value.
The points (5,2) and (8,2) have the same y value, but their x values are different. It is a function (there are no values of x for which we have more than one value of y).
Please help me
I don’t know what to do for this and it’s really confusing
Answer:
Midpoint: (0, 5/2) or (0, 2.5)
Step-by-step explanation:
The diagonal BD is made of the points B(4,7) and D(-4,-2)
to find the midpoint of these points you add the two x coordinates and divide by two --> (4+-4)/2=0/2=0
Then you add the y coordinates and divide by 2 --> (7+-2)/2=5/2 or 2.5
Then you've got your midpoint.
hopefully I've understood the question correctly - hope this helps!
What fraction is equivalent to 4/3?
what is an equation of the line that passes through the point (3, -8) and has slope -2?
Answer:
Step-by-step explanation:
slope of -2 means the slope is -2/1
from (3, - 8) you can find the y intercept by going backwords until x = 0
(2,-6)
(1,-4)
(0,-2)
so the y intercept is -2
y = -2x - 2
•(5,25) •(4,16) •(3,9) •(2,4) •(1,1) The sequence is arithmetic because the terms have a common difference.
The sequence is arithmetic because the terms do not have a common difference.
The sequence is not arithmetic because the terms have a common difference.
The sequence is not arithmetic because the terms do not have a common difference.
Answer:
3. The sequence is not arithmetic because the terms do not have a common difference.
Step-by-step explanation:
These are ordered pairs in the form of (x, y), so I'll write them here with just the y from least to greatest so it's easier to read:
1, 4, 9, 16, 25
The 3 answers are:
The sequence is arithmetic because the terms do not have a common difference.The sequence is not arithmetic because the terms have a common difference.The sequence is not arithmetic because the terms do not have a common difference.First, look at the difference between each of the terms.
[tex]4-1=3\\9-4=5\\16-9=7[/tex]
Second, an arithmetic sequence is a sequence where each consecutive term has a common difference over the last.
Finally, that leaves only answer 3. The sequence is not arithmetic because the terms do not have a common difference.
A new health drink has 190% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 50 mg. How many milligrams of the vitamins are in the drink?
There is 95mg of vitamins in the drink
Percentages and proportionIf a new health drink has 190% of the recommended daily allowance (RDA) for certain vitamins and the RDA for this drink is 50mg.
The amount of milligrams of the vitamins in the drink is expressed as shown:
A = 190 % of 50mg
A = 1.9 * 50
A = 95mg
Hence there is 95mg of vitamins in the drink
Learn more on percentages https://brainly.com/question/25793394
Answer:
There is 95mg of vitamins in the drink
1plss help, it time.............................
Answer:
24 in
Step-by-step explanation:
Compare "like" things:
Big/small = Big/small
30/L = 10/8
Crossmultiply
240 = 10L
Divide by 10
240/10 = 10L/10
24 = L
A triangle has two angles with measures of 50 degrees and 70 degrees joined by a side with a length of 20 centimeters.
Which figure represents this triangle?
709
50
O
20
50
2009
70
o
500
709
20
20
70°
50°
Answer:
Step-by-step explanation:
Given :-
Two angles in a triangle have measurements of 20° and 50 °.
To Find :-
Measurement of third angles of triangle
Solution :-
We know that the sum of all angles of triangle is 180°.
Measurement of third angles = x
20° + 50° + x = 180°
combine like terms
70° + x = 180°
subtract both sides from 70°.
70° - 70° + x = 180° - 70°
x = 110 °
Hence, the measurement of the third angie of a triangle is 110°.
Answer:
The third option is the correct answer.
Help me pleaseeeee?????
Answer:
The data covers 58 to 86 = 28 for the total distance
Each quartile will occupy a difference of 28/4 = 7
58 - 65 = first quartile (or lower quartile)
65 - 72 = second quartile
72 - 79 = third quartile
79 - 86 = fourth quartile (or upper quartile)
Notice that the first quartile ends at 65 and the second quartile starts at 65
If you divide a straight line accordingly there must not be an empty space between the first and second quartile to be all inclusive
The median is the middle point or 58 + 14 = 72
14 points lie in the range of 58 to 72 and
14 points lie in the range of 72 to 86
The circle graph summarizes the results of a
survey of 2800 Internet users who make
purchases online. Use this graph to answer the
following question
Online Spending per Month
$0-$15 22.5%
$15-S185 59.1%
Over 185 18.4%
Find the ratio of number of respondents who
spend $0-$15 online to number of respondents
who spend $15_$185 online. Write the ratio as a
fraction with whole numbers in the numerator
and denominator.
Elton has 2 jobs and can work at most 32 total hours per week. He makes $9.00 per hour as a dog walker and $10.00 per hour as a store clerk. He wants to earn a minimum of $200 per week. Which is system of inequalities can be solved to find the possible combination of hours worked at each job that will help him to reach his goal?
Answer:
3-4 days
Step-by-step explanation:
So, if Elton works at each job for 5 hours, he will get $95. He would keep on doing this for 2-3 days. He would get $190 in total. The next day, he could get his $10 for being a store clerk. 190 + 10 = 200. And that's how Elton would make $200 in less than one week!
25. Which is a solution of the inequality y
(3,-5)
(2,-1)
(4,1)
(6,-4)
Step-by-step explanation:
B
D
A
с
2
2-1
1
2
3 4 5
2 1
2
2 4 5
A
B
2-1
1
2
B
5 4 3 2 1
1
2 3 4 5
Ava and Mary are 10 miles apart on a path when they start moving toward each other. Ava runs at a constant speed of 4 miles per hour, while Mary walks at a constant speed of 1 miles per hour. How long does it take until they meet?
Answer:
Step-by-step explanation:
You are after time. You know the total distance. They start off at the same time and meet after t hours
Let the meeting time = t
Let the distance from Mary's standpoint be d
Mary
d = r * t
r = 1 mile / hour
t = ?
Ava
d = r*t
d for Ava = 10 - d
r = 4 mile / hour
Solution
10 - d = 4 * t
The time is the same for both people
Ava: divide both sides by 4
10/4 - d/4 = t
Mary
d = 1 * t
d = t
10/4 - d/4 = d Add d/4 to both sides.
10/4 = d + d/4
10/4 = 5d / 4 Multiply both sides by 4
10 = 5d Divide both sides by 5
10/5 = 5d/5
d = 2
Since from Mary we have d = t
They will meet in 2 hours.
The front lawn of NPHS has a roped off area of 2x^2 - 11x + 15. What are the
possible dimensions of the roped off area?
Answer:
[tex]x-3[/tex] by [tex]2x-5[/tex] units
Step-by-step explanation:
Use the slide-and-divide method to factor the polynomial:
[tex]2x^2-11x+15[/tex]
[tex]x^2-11x+30[/tex]
[tex](x-6)(x-5)[/tex]
[tex](x-3)(2x-5)[/tex]
Therefore, the dimensions are [tex]x-3[/tex] by [tex]2x-5[/tex] units
Belinda's Great Dane is 74.Belinda's Great Dane is 74.9 cm tall and 225 cm long.
Write these lengths in metres.9 cm tall and 225 cm long. Write these lengths in metres.
Answer:
0.749m and 2.25m
Step-by-step explanation:
to convert from centimeters to meters, you divide by 100 because there are 100cm in 1m
74.9cm/100= 0.749m and 225cm/100=2.25m
y
is directly proportional to
x
2
.
If
y
=
8
when
x
=
2
find
y
when
x
=
3
Answer:
y = 18 when x = 3
Step-by-step explanation:
y is directly proportional to x^2, meaning:
[tex]y=ax^2[/tex]
where a is the proportion between them. We're given the values for both x and y, so plug those in and solve for a:
[tex]8=a(2)^2\\8=a4\\2=a\\a=2[/tex]
Now you can use a to solve for y when x is 3:
[tex]y=ax^2\\y=(2)(3)^2\\y=2(9)\\y=18[/tex]