What is the area of Figure ABCD?
a) 54 square inches
b) 60 square inches
c) 66 square inches
d) 72 square inches
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Related Questions
25 exponent 9 is grewter then (5 exponent 4) and a exponent 2 next to the parentheses
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[tex](x^m)^n=x^{mn}[/tex]
so let's rewrite them
25=5^2
so
[tex]25^9>(5^4)^2[/tex]
[tex](5^2)^9>5^{4*2}[/tex]
[tex]5^{2*9}>5^8[/tex]
[tex]5^{18}>5^8[/tex]
yep, that's definitely true
What is 0.04 divided by 10
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Hope this helps!
when multiplying and subtracting fractions ... 5/6-3/4
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do not need common denominators
subtracting: 5/6 - 3/4 = 20/24 - 18/24 = 2/24
need a common denominator
6-13x=24-10(2x+8)+62+7x
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a backpack manufacturer produces an internal frame pack and an one hour and let y represent the number of external frame packs produced in one hour.Then the inequalities x+3y<=18,2x+y<=16,x>=0 and y>=0 describe the constraints for manufacturing both packs.Use the profit function f(x,y)=50x+80y and the constraints given to determine the maximum profit for manufacturing both packpacks for the given constraints
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The maximum, 1280, occurs at (0,16).
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The inequality is,
x + 3 < 18
x < 15
And,
2x + y < 16
y < - 2x + 16
Now, you can see the constraint, x + 3 < 18 doesn't even enter into calculating the feasible region because the constraint, 2x + y < 16 really identifies the region.
Now, We can Check the value of the function at the three vertices as:
At (0,0):
f(x, y) = 50x + 80y = 0
At (8, 0);
f(x, y)=50x+80y
f (8, 0) = 400
At (0, 16);
f(x, y ) = 50x+80y
f (0, 16) = 1280
Thus, The maximum, 1280, occurs at (0,16).
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What is the axis of symmetry for the graph of y – 4x = 7 – x2 ?
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rewrite it:
y = -x^2+4x+7
complete the square:
y = -(x-2)^2 + 11
vertex: (2,11)
the axis of symmetry is the coordinate of x, i.e. x=2
Answer:
axis of symmetry at x=2
Step-by-step explanation:
[tex]y - 4x = 7 - x^2[/tex]
LEts solve for y
Add 4x on both sides
[tex]y=- x^2+4x+7[/tex]
To find axis of symmetry we use formula
[tex]x=\frac{-b}{2a}[/tex]
the equation in the form of ax^2 + bx+c
a= -1 , b= 4
Plug in the values
[tex]x=\frac{-4}{2(-1)}=2[/tex]
So axis of symmetry at x=2
One-eighth of the 32 students in the class went abroad for fall break. How many students went abroad?
Answers
divide 32 by 8
32/8 = 4 students went abroad
Raj's hourly wage is 5.50. He already saved 68 dollars for a $200 video game system. How many hours does Raj need to work to earn the remainder of the money he needs to buy the video game system?
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5.50x=132
x=24
Raj needs to work 24 hours to earn the remainder of the money he needs to buy the video game system.
a beauty salon buys bottles of styling gel for 4.50 per bottle and marks up the price by 40%. for what price does the salon sell each bottle
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4.5 x 0.4 = 1.8
1.8 + 4.5 = 6.3 is your answer
The price the salon sells each bottle is 6.3 if a beauty salon buys bottles of styling gel for 4.50 per bottle and marks up the price by 40%.
What is percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
A beauty salon buys bottles of styling gel for 4.50 per bottle and marks up the price by 40%.
From the question:
= 40% of 4.50
= 1.8
= 1.8 + 4.5 = 6.3
Thus, the price the salon sells each bottle is 6.3 if a beauty salon buys bottles of styling gel for 4.50 per bottle and marks up the price by 40%.
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Shawn wants to model the number 13,450 using base ten blocks how many large cubes flats and longs does he need model the number
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10 small cubes = 1 long
10 longs (or 100 small cubes) = 1 flat
100 flats (or 1000 small cubes) = 1 large cube
13,450 needs to be divided into groups (by number). Separate by thousands, hundreds, and tens. There are 13 thousands in 13,000. That leaves 450 remaining. 450 is 4 hundreds and 5 tens. 1 large cube is 1000 small cubes. 1000 * 13 = 13,000. You need 13 cubes, with a total of 450 remaining. 100 small cubes is 1 flat. 100 * 4 = 400. You need 4 flats, with 50 remaining. 10 small cubes are 1 long. 10 * 5 = 50. You need 13 cubes, 4 flats, and 5 longs.
6,700 rounded to nearest thousand
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We know this because 7 rounds up!
Hope this helped!
What transformation is represented by the rule (x, y)→(−y, x)?
A. reflection across the x axis
B. rotation of 90 degrees clockwise about the origin
C. reflection across the y axis
D. rotation of 180 degrees about the origin
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Hope I helped you:)
Answer:
The answer is D, an 180 rotation about the origin
Step-by-step explanation:
I just did the test and got it right :)
Santiago receives an allowance of 7$ every week
How much total does he receive after 4 weeks
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7 * 4 = $ 28 <==
What is (-8)to the power of 2 equal??
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(-8)(-8)
64
Hope this helps!
(-8)^2 means -8 x (-8).
The answer to this would simply be:
-8 x (-8) = 64
Because a negative number is being multiplied by another negative number, the answer becomes a positive number.
I hope this helps you! Have a great day!
Dori and Malory are tracking their steps taken as a health goal. Dori leaves her house at 12:00 p.m. and walks at 50 steps per minute. Malory leaves her house at 12:20 p.m. and walks at 90 steps per minute. At what time will Malory's steps catch up to Dori's steps?
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Dori travels
(50 steps/min)*(n minutes) = 50n steps
Malory begins walking at 12:20 pm, so she walks for (n - 20) minutes. She travels
(90 steps/min)*(n - 20 min) = 90n - 1800 steps
Equate the steps traveled by Dori and Malory.
90n - 1800 = 50n
40n = 1800
n = 45 min
The time corresponding to n = 45 min is 12:45 pm
Answer: 12:45 pm
kelly ate 7 apples. this represents 50% of the bag of apples. how many apples were originally in the bag
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How do I solve this question?
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1. A straight line has a measure of 180 degrees.
2. When two angles add up to 180 degrees, those angles are called supplementary.
3. The interior angles of a triangle add up to 180 degrees.
We can see ∠ECT = 180 degrees.
∠DCT is supplementary to ∠DCE.
∠DCT = 140 degreees
∠DCE = x degrees
x + 140 = 180
Solve for x.
x + 140 = 180
x = 40 <-- Subtract 140 from each side
∠DCE = 40 degrees
We know the two interior angles of ΔDEC.
45 + 40 + x = 180
Solve for x.
45 + 40 + x = 180
85 + x = 180 <-- Combine like terms
x = 95
So, the missing angle is equal to 95 degrees.
I need some help plz!
Enter in the missing numbers to create equivalent ratios.
2:5
Blank:10
6: Blank
Blank:25
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4:10
6:15
Because they give you thee base ratio, you can see that 5 x 2 = 10
so 2 x 2 = 10 which makes an equivalent ratio.
Using repeated addition solve 5x4
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Or
4 + 4 + 4 + 4 + 4 = 20
Using repeated addition, the value of 4 x 5 will be 20.
What is Algebra?Algebra is the study of graphic formulas, while logic is the interpretation among those signs.
The expression is given below.
⇒ 5 x 4
Using repeated addition, the expression can be written as,
⇒ 5 + 5 + 5 + 5
⇒ 20
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what are the steps to
2 divided by 1054
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2m-2x=x+n. solve for x.
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x=2m/3 - n/3
Hope this helped please give brainliest
There are 111 guest attending a party there are 15 servers each server has the same number of guest to serve Jess will serve any extra guest how many guest will Jess be serving? Please help me
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So, each sever served 7 guests. Jess served 7+6 so 13.
Answer: The required number of guests served by Jess is 13.
Step-by-step explanation: Given that there are 111 guest attending a party there are 15 servers each server has the same number of guest to serve.
If Jess will serve any extra guest, then we are to find he number of guests served by Jess.
By division algorithm, we can write
[tex]111=7\times15+6\\\\\Rightarrow 111=7\times14+(7+6).[/tex]
So, 14 servers will serve 7 guests each and Jess will serve 7 guests along with extra 6 guests.
Therefore, the total number of guests served by Jess is given by
[tex]n=7+6=13.[/tex]
Thus, the required number of guests served by Jess is 13.
Express the following number using expanded form, unit form, and word form: 625.25
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Your teacher divides your class into two groups and then randomly chooses a leader for each group the probability that you are chosen to be a leader is 1÷12 the probability that both you and your best friend are choosing is 1÷132 is your best friend in your group explain
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Answer:
1 DIVIDED BY 12 IS 1 SO SAME THING WITH 1 DIVIDED 132 IS 132 SO ADD THEM AND YOU SHOULD GET YOUR ANSWER PS i dont know the answer
Step-by-step explanation:
No, my best friend is not in my group.
Let's break down the probabilities to determine if your best friend is in your group. The probability that you are chosen as a leader is [tex]\frac{1}{12}[/tex]. Let’s denote your best friend by BF. Given that the probability that both you and best friend are chosen as leaders is [tex]\frac{1}{132}[/tex], we need to check if BF is in your group.If your best friend is in your group, then there is only one leader to be chosen from this group. Hence, the probability that you and your best friend are chosen from the same group would be calculated by selecting the group leader and then the remaining leader from the other group.In this scenario, the probability of you and your best friend being chosen as leaders would typically depend on the group size and configuration.Since the probability of you both being chosen is [tex]\frac{1}{132}[/tex], this indicates that you are more likely not in the same group. If BF were in the same group, the probability would be calculated based on how likely both members are to be from the same group, considering the overall class size and number of groups.Thus, given the probability details, we can conclude that your best friend is not in the same group as you.Write in exponent form and word form. 10x10x10x10x10x10
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Hope this helps! :)
what is the answer to a/164363 -10 = 10
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a/164363=10+10
a/164363=20
a=20*164363
a=3287260
Hope this helps
Which property of equality would you use to solve the equation 14x=56
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14x = 56
x = 4 <-- Divide both sides by 14
So, x is equal to 4.
The division property of equality is used to solve equality 14x = 56 where x = 4.
What is equality?In mathematics, equality is a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object.
The given equality is,
14x = 56
Using division property of equality,divide both side by 14
14x/14 = 56/14
Solving we get,
x = 4
Thus, the division property of equality is used to solve equality 14x = 56 where x = 4.
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A fish market bought two swordfish at a rate of $13 per pound the cost of the larger fish was 3 times as great as the cost of the smaller fish the total cost of the two fish was $3,952 how much did each fish weigh
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What is the domain and range of the function shown in the graph?
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The range is the set of all y values which are defined in the function. Like the domain, the range of this function contains all value from negative infinity to positive infinity except zero. Same notation: y: : (-∞,0)∪(0,∞).
order greatest to least for the following 2.007, 2.714, 2.09, 2.97