Points A, B, C, D, and E are collinear and in that order. The value of Ac is 18.
According to the segment addition postulate, if two points on a line segment, A and C, are given, a third point, B, will only be found on line segment AC if and only if the distances between the points satisfy the conditions of the equation AB + BC = AC.
Keep in mind that a line segment is a portion of a line that has two distinct end points. There are many points between the two end points that make up the object.
The segment addition postulate can be stated more simply by saying that if point B lies on line segment AC, then AB + BC will equal AC.
by the segment addition postulate,
AC + CE = AE so AC = AE - CE
AC = (x+50) - (x+32)
AC = x+50-x-32
AC = 18
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7. Find the length of the rectangle below:
Area= 1445 in²
length = ?
17 in.
Answer: 85 in
Step-by-step explanation:
A=Area of rectangle. L=length of rectangle. W=width of rectangle
A=L*W
1445=L*17
1445/17=L*17/17
L=85 in
Find the radius of a circle with the arc length of 69 cm and a central angle measure of 81°
convert 81°into radian
81°=(81×pie/180)=9pie/20 pie=22/7
now,
radius=arc length/θ in radian
then 69/(9pie/20)
=48.79
Which is the order from least to greatest of the following: seventh fifths, 0.4, one-eighth, seventy-five percent?
A. 0.4, seventy-five percent, seven-fifths, one eighth
B. one-eighth, 0.4, seventy-five percent, seven fifths
C. 0.4, one-eighth, seventy-five percent, seven fifths
D. seventy five percent, one-eighth, 0.4, seven fifths
BTW this is FLVS
The order from least to greatest of the numbers will be B. one eighth, 0.4, seventy five percent, seven fifths.
How to oder the numbers?It should be noted that 7/5 = 1.4
It should be noted that 1/8 = 0.125
It should be noted that 75% = 0.75
Therefore, the ordering of the numbers from least to greatest will be one eighth, 0.4, seventy five percent, seven fifths.
In conclusion, the correct option is B.
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Answer:
b
Step-by-step explanation:
Which expression has a greater value?
(2,040329) x 5
2,040329
Answer:
2,040329×5
Step-by-step explanation:
you are multiplying 5 more to the number so it will be 5 times larger than the other number
Answer: (2,040329) x 5 =10.201645
Step-by-step explanation:
they are both equal too so its neither is greater
Pls Help me please!!
I need help on question 1-6
Will be mark brainlist
Answer:Look
Step-by-step explanation: Look and solve its not that hard
What is the length of segment FE?
What is the length of segment FG?
What is the length of segment FH?
PLEASE ANSWER FAST! I WILL GIVE BRAINLIEST!
How do I find the area of a rectangle with three different side lengths.
Answer:
See explanation
Step-by-step explanation:
If two of the side lengths are equal, use only one of those two equal side lengths. Then, using that one side length, multiply that side length with the third side length to get the area.
side length a, b, and c.
a=b.
A=area.
A=b*c ==> Area of rectangle
Suppose you start at the origin, move along the x-axis a distance of 2 units in the positive direction, and then move downward a distance of 9 units. What are the coordinates of your position?
The coordinates of our position after moving up and down will be (0, -7)
We are given a coordinate plane and we are standing at the origin of the plane.
That is, our position is (0, 0).
Now, we move 2 units in the positive direction.
So, now our position will be:
(0, 2)
Then, we move downward a distance of 9 units.
So, our position will now become:
(0, 2 - 9)
(0, -7)
Therefore, the coordinates of our position after moving up and down will be (0, -7)
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I NEED HELP ASAP WITH THESE QUESTIONS
1. The sum of twice a number and 5
2. Twice the sum of a number and 5
3. The square of five more than a number
Answer:1.2x+5 2.2(x+5) 3.(x+5)^2
Step-by-step explanation:
Consider the following sequence. -5,5,15,25,35. Write an explicit formula for the sequence.
This sequence's explicit formula is [tex]a_n=-5+(n-1)*10[/tex]
What is a sequence?
A sequence is indeed an acknowledged group of items in mathematics where repetitions are permitted and order is important. Similar to a set, it has individuals. The length of the series is the number of components (potentially infinite).The convergence features of sequences can be used to analyze functions, spaces, as well as other mathematical structures in a variety of mathematical fields. In particular, sequences serve as the foundation for series, which are crucial to analysis and differential equations.The common distinction is equal to:
10
The sequence's total is equal to:
40
This sequence's explicit formula is:
[tex]a_n=-5+(n-1)*10[/tex]
This sequence's recursive formula is:
[tex]a_n=a_((n-1))+10[/tex]
Next terms:
-5,5,15,25,35,45,55,65,75,85,95...
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A particular shade of paint is made by mixing five parts of red paint with seven parts of blue paint. To make the correct shade, Shannon makes 12 quarts of blue paint with 8 quarts of red paint. Did Shannon mix the correct shade? Explain.
We get that Shannon did not mix the correct shade as the ratios are not equal.
We are given that a particular shade of paint is made by mixing five parts of red paint with seven parts of blue paint.
This means that the ratio of the paints in that shade is
Red : Blue = 5 : 7.
Now, we are also given that to make the correct shade, Shannon makes 12 quarts of blue paint with 8 quarts of red paint.
Here the ratio becomes:
Red : Blue = 8 : 12
= 4 : 6
= 2 : 3
Now, since both the ratios are not equal, he did not mix the correct shade.
Therefore, we get that Shannon did not mix the correct shade as the ratios are not equal.
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Translate this phrase into an algebraic expression.
67 decreased by twice a number
Use the variable n to represent the unknown number.
Answer:
2n-67
Step-by-step explanation:
Twice a number means 'multiply by 2' so we can write 2 x n. We can also write this in a simpler form- 2n
'67 decreased' means minus 67 off your answer so therefore the answer must be:
2n-67
Love answering your questions by the way :)
Alan found 444 marbles to add to the 555 marbles in his collection. Then, he went to the store and tripled the number of marbles he had.
Which numerical expression shows the amount of marbles Alan has now?
Choose 1 answer:
Choose 1 answer:
The numerical expression that shows the amount of marbles that Alan has now is; 3(5 + 4)
How to solve algebra word problems?
We are told that he found 4 marbles to add to the 5 marbles in his collection.
Thus, after addition, total number of marbles is;
5 + 4 = 9 marbles
Now, we are told that he tripled this sum of marbles he had. Thus;
Tripling of marbles = 9 * 3
Thus, the numerical expression that shows the amount of marbles that Alan has now is;
3(5 + 4)
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Correct question is;
Alan found 4 marbles to add to the 5 marbles in his collection. Then, he went to the store and tripled the number of marbles he had.
Which numerical expression shows the amount of marbles Alan has now?
sam had a yard sale. the next day he made a deposit with no cash back. he deposited 28 twenties, 18 tens, 32 fives, 20 ones, 18 quarters and checks for $22, $18.18 and $67.04. what was the amount of his deposit?
The total amount of money Sam deposited is $1,031.72.
Given that, Sam deposited 28 twenties, 18 tens, 32 fives, 20 ones, 18 quarters and checks for $22, $18.18 and $67.04.
We need to find out what was the amount Sam deposited.
What is the sale?Add the rate to the purchase price to determine the discount. Subtract the discount from the original price to arrive at the sale price.
The discounted price at which products or services are being sold is known as a sale price.
Now, total money = 28×20+18×10+32×5+20×1+18×0.25+22+18.18+67.04
=560+180+160+20+4.5+22+18.18+67.04
=1,031.72
Therefore, the total amount of money Sam deposited is $1,031.72.
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Find the next three terms in each sequence
Chika's uncle makes perfect brownies. Chika noted how much sugar he uses based on how many batches he makes:
Number of batches 222 333 444
Sugar (\text{kg}kgstart text, k, g, end text) 0.60.60, point, 6 0.90.90, point, 9 1.21.21, point, 2
Chika has 2.25\,\text{kg}2.25kg2, point, 25, start text, k, g, end text of sugar, and she wants to make as many batches as possible for a bake sale. She can make partial batches, and she has more than enough of the other ingredients.
How many batches can Chika make?
Proportionately, the number of batches that Chika can make with 2.25kg of sugar is 7.5.
What is proportion?Proportion is the ratio of a variable in the whole.
Proportion shows how much quantity is contained in a variable.
Proportions are represented in decimals, percentages, and fractions.
Data and Calculations:Number of Batches 2 3 4
Sugar (kg) 0.6 0.9 1.2
Proportion of sugar
per batch 0.3 0.3 0.3
Chika's sugar ingredient = 2.25 kg
The number of batches Chika can make = 7.5 (2.25/0.3)
Thus, the number of batches that Chika can make with 2.25kg of sugar is 7.5.
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AP Calculus ab question: what is the derivative function, f'(x), using the definition of derivative for : f(x) = 3X^2 + 1. Please show your work with the method shown below:
f'(x)= lim (h->0) [f(x+h) - f(x)] /h
Answer: f'(x)=6x
Step-by-step explanation:
f'(x)= lim (h->0) [f(x+h) - f(x)] /h
f'(x)= lim (h->0) [3(x+h)^2 + 1 - (3x^2 + 1)] /h
f'(x)= lim (h->0) [3(x^2+2hx+h^2) + 1 - 3x^2 - 1] /h
f'(x)= lim (h->0) [3x^2+6hx+3h^2 - 3x^2] /h
f'(x)= lim (h->0) [6hx+3h^2] /h
f'(x)= lim (h->0) [6x+3h]
f'(x)= [6x+3(0)]
f'(x)=6x
What is the decimal rule for:
1.2 x (-5) = ?
Cause I got -60 but the answer was -6 and I’m confused. Explanation?
Answer:
-6
Step-by-step explanation:
1.2 = 12/10
so
12/10 x (-5) = -60/10 = -6
A silversmith combined pure silver that cost $34.48 per ounce with 51 oz of a silver alloy that cost $25.35 per ounce. How many ounces of pure silver were used to make an alloy of silver costing
$28.87.per.ounce?
32 ounces of pure silver were used to make the silver alloy.
Here, we are given that a silversmith combines pure silver that costs $34.48 per ounce with 51 oz of a silver alloy that cost $25.35 per ounce.
Let the amount of pure silver = x oz
Cost of pure silver = $34.48 per ounce
Thus, total cost of pure silver = $34.48x
Similarly, amount of silver alloy = 51 oz
Cost of silver alloy = $25.35 per ounce
Thus, total cost of silver alloy = 25.35 x 51 = $1292.85
Now, the total weight of the new silver allow formed = (x + 51) Oz
and the cost of this new allow = $28.87 per ounce
Thus, the total weight of the new alloy = $28.87 (x + 51)
Hence, we can form the following equation-
$34.48x + $1292.85 = $28.87 (x + 51)
34.48x + 1292.85 = 28.87x + 1472.37
34.48x - 28.87x = 1472.37- 1292.85
5.61x = 179.52
x = 179.52/ 5.61
x= 32
Hence, 32 ounces of pure silver were used to make the silver alloy.
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Lucy’s chocolate bar is 54% cocoa. If the weight of the chocolate bar is 54 grams, how many grams of cocoa does it contain? Round the answer to the nearest tenth
Answer:
29.16 grams
Step-by-step explanation:
To solve this, you have to use the weight of cocoa formula. So the weight of cocoa = 54% percent of chocolate bar's weight which is 54 gram. So weight of cocoa = 54/100*54. This will give you 29.16 grams.
Kendra is making a large salad for a party. She buys lettuce for $2.25 per pound and tomatoes for $2.65 per pound. She spends at
least $8.
Let x represent the number of pounds of lettuce that Kendra buys. Let y represent the number of pounds of tomatoes that Kendra
buys.
Which inequality represents this situation?
Answer:
(D)
Step-by-step explanation:
Given that Kendra is making a large salad for a party. She buys lettuce for $2.25 per pound and tomatoes for $2.65 per pound. She spends at least $8.
x represent the number of pounds of lettuce that Kendra buys and y represent the number of pounds of tomatoes that Kendra buys.
We are to select the inequality that represents the situation.
We have
total amount of money that Kendra spends on lettuce is given by
and the total amount of money that she spends on tomatoes is
Therefore, the inequality can be written as
Thus, option (D) is CORRECT.
What is the domain and range for this problem?
Answer:
2-18
2,5
7,18
Step-by-step explanation:
if it takes 6 men 25 hours to dig 5 holes, how many hours does it take to dig 5 holes with 10 men
Answer: Answer is 15 hours
Step-by-step explanation:Given 6 men dig 5 holes in 25 hours
Therefore 10 men will take to dig 5 holes is
workers(1) × time(1) = workers(2)×time(2)
(This formula is used when Total work is same)
where workers(1)= 6 men
Time (1) = 25 hours
workers (2) = 10 men
We have find out Time(2)=T(2)
by applying above formula
6×25=10×T2
after simplify
T2= 15 hours
2) A Zookeeper needs 876 kilograms of food to feed the animals. She has 287 kilograms of food now. How much more food does she need to buy?
Answer:
She will need to buy 589 kilograms.
Step-by-step explanation:
Have this done correctly for brainliest!
Answer:
expression
Step-by-step explanation:
It's an expression. The expression happens to be a quadratic polynomial.
An equation must have an equal sign.
An equation is a statement that a number or expression equals a number or expression.
Here, there is no equal sign. There is only an expression.
Answer:
This is an expression
8x2+7x-15
where RS=8y+5, ST=3y+4, and RT=97.
a. What is the value of y?
b. Find RS and ST
The answer of part a is y = 8
The answer of part b is RS = 69, ST = 28
Step-by-step explanation:
a. Since RT = RS + RT, subsitute values of RS and RT in the equation
97 = (8y + 5) + (3y + 4)
97 = 11y + 9
97 - 9 = 11y
88 = 11y
y = 8
b. Subsitute the value of y in RS and ST just like done in part a
Kadeem has $680 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
• He buys a new bicycle for $470.65.
• He buys 2 bicycle reflectors for $7.87 each and a pair of bike gloves for $15.18.
• He plans to spend some or all of the money he has left to buy new biking outfits for $50.98 each.
Write and solve an inequality which can be used to determine x, the number of outfits Kadeem can purchase while staying within his budget.
Total money with Kadeem = $680
Money spent by him on a new bicycle = $470.65
Money left with him after buying a new bicycle = 680 - 470.65 = 209.35
Money spent by him on 2 bicycle reflectors = 7.87*2 = $15.74
Money left with him after buying reflectors = 209.35 - 15.74 = $193.61
Money spent by him on bike gloves = $15.18
Money left with him after buying biking outfits: 193.61 - 15.18 = $178.43
Cost of each outfit = $50.98
Let the number of outfits Kadeem can buy be x, therefore formulating the equation we get:
50.98x< = 178.43
x< = 3.5
So, Kadeem can buy 3 outfits while staying within budget
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pls help asap I’ll give brainliest immediately.. plsss..
Answer:
You have the right form (vertex form). All that you have left to do is learn what parts of the equation signify what.
Step-by-step explanation:
Explanation:
In a quadratic function of form y = a
(
x
−
p
)
2
+ q, the axis of symmetry is found at x = p. As a result, in y = -4
(
x
−
8
)
2
+ 3, the axis of symmetry is at x = 8, since the formula is x - p = x - (+8).
The vertex of a parabola is at (p, q). As for the axis of symmetry, the p value is 8, and in this function the q value is 3. So the vertex is at (8,3).
With this information, the x and y intercepts, and a few other points found by plugging in x values and solving for y, you will be able to graph this parabola. Your graph, if done properly, will look like the following:
graph{y = -4(x - 8)^2 + 3 [-20, 20, -10, 10]}
Solve the inequality: c² < − 3c + 70
Answer:
Answer is (-10,7) and inequality form: -10<c<7
Step-by-step explanation:
First factor the equation.
(c+7)(c-10)
Then find out which intervals make (c+7)(c-10)<0.
