angles and sides opposite one another on a parallelogram are congruent, we can say this is a parallelogram because there are congruent.
What in mathematics is a parallelogram?
A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, and a quadrilateral with equal sides is known as a rhombus.Slope Formula: y2-y1/x2-x1
KL: 12-7/6-2 = 5/4
LM; 13-12/13-6 = 1/7
MN: 8-13/9-13 = 5/4
KN: 7-8/9-2 = 1/7
Since angles and sides opposite one another on a parallelogram are congruent, we can say this is a parallelogram because there are congruent.
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Write the base-ten number for 29
The base-ten number for the number 29 is 29
How to determine the base-ten number?The number is given as
29
The base of the above number is not stated
When the base of a number is not stated, then the base of the number is base 10
This means that the number 29 is in base ten
Hence, the base-ten number for the number 29 is 29
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For the word problems below, you MUST show work to earn full credit
(a.) Hailey's plane took 90 seconds to climb 4,500 feet.
(i)What is the speed of her plane in feet per
second?
(ii) How high was the plane at 35 seconds?
The speed of her plane in feet per second is 50 feet per second and the plane high was 1750 feet.
i. The speed of Hailey’s plane is 50 feet per second.
As Hailey’s plane took 90 seconds to climb 4,500 feet,
X= 4,500 ÷ 90
X= 50 feet per second.
ii. The plane was at 1750 feet at 35 seconds.
As the plane climb 50 feet per second,
X= 50 * 35
X= 1750 feet.
Jetliners typically fly between 240 and 285 km/h during take-off (130–154 km; 149–177 mph). Light aircraft, such a Cessna 150, accelerate to about 100 km/h after take-off (54 km; 62 mph). Even slower take-off speeds apply to ultra-lights.
Hence, the speed of her plane in feet per second is 50 feet per second and the plane high was 1750 feet.
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The speed of her plane in feet per second is 50 feet per second and the plane high was 1750 feet.
i. The speed of Hailey’s plane is 50 feet per second.
As Hailey’s plane took 90 seconds to climb 4,500 feet,
X= 4,500 ÷ 90
X= 50 feet per second.
ii. The plane was at 1750 feet at 35 seconds.
As the plane climb 50 feet per second,
X= 50 * 35
X= 1750 feet.
Jetliners typically fly between 240 and 285 km/h during take-off (130–154 km; 149–177 mph). Light aircraft, such a Cessna 150, accelerate to about 100 km/h after take-off (54 km; 62 mph). Even slower take-off speeds apply to ultra-lights.
Hence, the speed of her plane in feet per second is 50 feet per second and the plane high was 1750 feet.
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How much pure acid should be mixed with 5 gallons of a 70% acid solution in order to get a 90% solution?
Answer:
You will need 10 gallons of pure acid to mix with 5 gallons of a 70% acid solution to get a 90% solution.
Step-by-step explanation:
.70(5) + x = .90(x + 5) I want to multiply both sides by 100 to clear the decimal
70(5) + 100x = 90(x + 5) Distribute the 70 and the 90
350 + 100x = 90x + 450 Subtract 90x from both sides
350 + 10x = 450 Subtract 350 from both sides
10x = 100 Divide both sides by 10
x = 10
Parker has a credit card that has an APR of 21.99%. If Parker’s average daily balance for the month is $742, what is the finance charge? If Parker’s balance at the end of the month is $920, what will the new balance be after including the finance charge?
The finance charge is $13.60, whereas the new balance at the end of the month is $933.60
What is the finance charge on the credit card balance?
The finance charge which is the monthly interest payable on the credit card balance is based on the average daily balance for the month, it is determined as the average daily balance for the month multiplied by the annual percentage rate(APR) divided by 12 , since the requirement is to compute one month finance charge and not for a whole year
finance charge=$742*21.99%/12
finance charge=$13.60
The new balance is the balance at the end of the month plus the finance charge
new balance=$$920+$13.60
new balance=$933.60
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Answer:
13.60
933.60
Step-by-step explanation:
To determine the finance charge, use the formula:
FinanceCharge=APR12×AverageDailyBalance
Substitute 21.99% for the APR, and $742 for the average daily balance, and calculate:
FinanceCharge=0.219912×$742=$13.60
So, the finance charge will be $13.60
Next, determine the new balance by adding the finance charge to the balance at the end of the month:
$920+$13.60=$933.60
The new balance will be $933.60
Question
Divide: (y^3-1) (y+4)
Answer:
y^2 - 4y + 16 - 65/y + 4
Simplify to lowest terms 16x^4/24x^3
Answer:
2x/3
Step-by-step explanation:
[tex] \frac{16 {x}^{4} }{24 {x}^{3} } = \frac{2x}{3} [/tex]
Work out 3 square root 16
as a power of 2
Answer:
I would say 144
Step-by-step explanation:
I say 144 Because 3 to the square root of 16 is 12
And twelve to the second power is 2
How much interest would y dollars earn in one day at a rate of 1.75% compounded daily?
The interest that y dollars earn in one day at a rate of 1.75% compounded daily is 0.0175
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let I represent the total interest gotten from investing y dollars. Since y dollars is invested at a rate of 1.75% compounded daily, hence:
Interest = y * 0.0175 = 0.0175
The interest that y dollars earn in one day at a rate of 1.75% compounded daily is 0.0175
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Solve the compound inequality, and write the solution in interval notation: 2(3x+1)≤20 and 4(x−1)<2.
Answer: x∈(-∞,3] x∈(-∞,1.5)
Step-by-step explanation:
2(3x+1)≤20
Divide both parts of the equation by 2:
3x+1≤10
3x+1-1≤10-1
3x≤9
Divide both parts of the equation by 3:
x≤3
Thus, x∈(-∞,3]
[tex]\displaystyle\\4(x-1) < 2\\\\Divide\ both\ parts\ of\ the\ equation \ by \ 4:\\\\x-1 < \frac{2}{4} \\\\x-1 < 0.5\\\\x-1+1 < 0.5+1\\\\x < 1.5\\\\Thus,\ x\in(-\infty,1.5)[/tex]
The solution in interval notation, x∈(-∞,3] and x∈(-∞,1.5)
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
An inequality is a mathes that compares two values or expressions using a relational operator, such as less than (<), greater than (>), less than or equal to (≤), greater than or equal to (≥), or not equal to (≠). Inequalities is used to describe relationships between quantities or to express constraints or conditions.
WE are given that the inequality as;2(3x+1)≤20
Divide both parts of the equation by 2:
3x+1≤10
3x+1-1≤10-1
3x≤9
Now Divide both parts of the equation by 3:
x≤3
Thus, x∈(-∞,3]
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19.
(01.05 MC)
Savannah wants to purchase C dozen cupcakes for $2.50 each and B boxes of brownies for $3.25 each. She can spend at most $35. Which inequality could be used to determine how many of each item Savannah can purchase? (1 point)
2.50C + 3.25B < 35
2.50C + 3.25B ≤ 35
2.50C + 3.25B > 35
2.50C + 3.25B ≥ 35
Answer:
[tex]2.50c \: + \: 3.25b \: \leqslant \: 35[/tex]
Step-by-step explanation:
The total amount spent needs to be less than 35 dollars but it can also equal that amount. It can't be greater than 35 dollars because you can't spend money you don't have
What is the point-slope form of the line with slope
2
5
that passes through the point
-
4
,
-
7
?
The equation, in point-slope form, matches the graphed line is y + 7= 2/5(x - 4)
How to determine what equation, in point-slope form, matches the graphed line?The point on the line is given as
Point = (4, -7)
The slope (m) of the line is given as
m = 2/5
The linear equation is then represented as
y - y1 = m(x - x1)
So, we have
y + 7= 2/5(x - 4)
Hence, the equation, in point-slope form, matches the graphed line is y + 7= 2/5(x - 4)
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If you bought 12 cookies (each cookie for 0.99) how much more would each cookie cost than if you bought them by the dozen? ( A dozen pack is for 6.55)
The required cost of each cookie become when buying in dozen is $0.54.
Given that,
Bought 12 cookies (each cookie for 0.99).
A dozen pack is for 6.55.
how much more would each cookie cost if bought by the dozen is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
In a dozen cookies, there are 12 cookies
Now cost of a dozen cookies = 6.55
Now 12 cookies = $6.55
1 cookie = 6.55 / 12
cost of 1 cookie = $0.54
Thus, the required cost of each cookie become when buying in dozen is $0.54.
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pls answer just alittle bit helps alot
Please solve this help me
Answer:
2does that help?
A storeowner orders 25 calculators that cost $30 each. The storeowner can sell each calculator for $39. The storeowner sold 22 calculators to customers. He had to return 3 calculators that were never sold and pay a $2 charge for each returned calculator (although the initial cost is refunded). What is the storeowner's profit?
Hence , the store owner's profit will be $ 102 .
In general, the profit is outlined because the quantity gained by merchandising a product, that ought to be over worth} price of the merchandise. it's the gain quantity from any reasonably enterprise. In short, if the (SP) of the merchandise is over the value price (CP) of a product, then it's thought of as a gain or profit. It describes the monetary profit obtained if the revenue from the enterprise exceeds the taxes, expenses, and so on, that square measure concerned in sustaining business activities.It is providing a store owner orders twenty five calculators that price $30 every.
Original cost = number of calculators × cost per calculator
= 25 × 30
= $ 750
Sales revenue = 22 × 39
= $ 858
Return loss = 3 × 2
= $ 6
Profit = Sales revenue - ( Original cost + Return loss )
= 858 - ( 750 + 6 )
= 858 - 756
= $ 102
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Find the actual width of a building if the model of the building is 7 cm wide by 58.7 cm long and the actual length of the building is 140.9
Answer:
16.8
Step-by-step explanation:
Set up a proportion.
w = width and l = length
I would put the length and the width of the model in the first fraction and the length of the actual building on the right.
[tex]\frac{w}{l}[/tex] =[tex]\frac{w}{l}[/tex]
[tex]\frac{7}{58.7}[/tex] = [tex]\frac{w}{140.9}[/tex] Multiply both sides of the equation by 58.7 and 140.9 and you get:
140.9(7) = 58.7x
986.3 = 58.7x Divide both sides by 58.7
16.8023850085 = x I will round to the nearest tenths' place
16.8
25% of 32
Thank you very much if you decide to help
15.
(15x-26)
1
28°
(12x+1)
-(4y-9)°
m
What is x and what is y
The value of x is 3.6 and the value of y is 13.35.
We are given the equations that:
15 x - 26 = 28°
12 x + 1 = (4 y - 9)°
Now,
15 x - 26 = 28°
Add 26 to both the sides:
15 x = 28 + 26
15 x = 54
Divide both sides by 15, we get that:
x = 54 / 15
x = 3.6
Now, we have:
12 x + 1 = (4 y - 9)°
Substitute x = 3.6
12 (3.6) + 1 = 4 y - 9
43.2 + 1 = 4 y - 9
44.2 = 4 y - 9
4 y = 44.2 + 9
4 y = 53.2
y = 53.2 / 4
13.35
Therefore, we get the value of x as 3.6 and the value of y as 13.35.
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Answer:
The value of x is 3.6 and the value of y is 13.35.
Step-by-step explanation:
663 divided by 51 step by step
Answer:13
Step-by-step explanation:51 goes into 66 one time so 66-51=15
then 153/51=3 so 13
Step-by-step explanation:
51 goes into 66 one time so 66-51= 15 then 153/51 = 3 so 13
lelah is decorating her bedroom with posters of her four favorite sports teams. she has one poster of each team and wants to put one poster on each of her four walls. In how many ways can lelah arrange the four posters?
Lelah can arrange the four posters in 24 ways.
What is permutation?A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order.
Now it is given that,
Number of poster = 4
Number of walls = 4
Since one poster of each team to put one poster on each of her four walls.
So, number of ways = 4!
⇒ number of ways = 4x3x2x1
⇒ number of ways = 24 ways
Thus, Lelah can arrange the four posters in 24 ways.
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Reginald spent 2 1/3hours doing research at the library for his science project. he spent 3/4of that time writing his notes. how many hours did he spend writing notes?
Reginald spent 7/4 hours if his time in writing notes.
What is meant by the term mixed fraction?A mixed fraction is one that is represented by its quotient and remainder. 2 1/3, for example, is a mixed fraction in which 2 is the quotient and 1 is the remainder. A mixed fraction is thus the product of a whole number or a proper fraction.As, per the given question;
Total time of Reginald doing research in the library is 2 1/3 hours.
2 1/3 is given in the mixed fraction;
Solving this;
= (2×3 + 1)/3
= (6 + 1)/3
= 7/3
Thus, total hours in library is 7/3 hours.
He spent 3/4 of that time in writing notes;
3/4 of 7/3 will be. simply multiply.
= (3/4)(7/3)
= 7/4
Thus, the total time spent 7/4 hours of his library time in writing his notes.
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no need for the top part just the bottom
Answer:
2a.The difference is that question 1b has been ordered by PEDMAS
2b. The fact that Add(A) comes before Subtract(S).
2c. The order of the subjects in Bidmas.
Step-by-step explanation:
¿Cuánto recorre aproximadamente una rueda que da 60 vueltas si ésta tiene un radio de 0.20 m?
O 75m
O 38m
O 24m
O 1.3m
La rueda recorre una distancia de 75.420 metros tras 60 vueltas. (Correct choice: A)
Cuánta distancia recorre una rueda que da 60 vueltas?
La rueda se desplaza sobre el suelo mediante un tipo de movimiento conocido como rodadura, en la que la rueda experimenta rotación y traslación, cuyo centro instantáneo de rotación es el punto de contacto entre la rueda y el suelo.
Si no existe deslizamiento de la rueda con respecto al suelo, entonces la distancia recorrida tras una revolución de la rueda (s), en metros, es descrita por la siguiente ecuación:
s = 2π · r (1)
Donde r es el radio de la rueda, en metros.
Si tenemos que r = 0.20 m, entonces la distancia recorrida es:
s = 2π · (0.20 m)
s ≈ 1.257 m
Asimismo, la distancia recorrida es directamente proporcional al número de revoluciones de la rueda es y la distancia recorrida tras 60 vueltas es determinada por regla de tres simple:
S = 60 vueltas × (1.257 m / 1 vuelta)
S = 75.420 metros
La rueda recorre una distancia de 75.420 metros tras 60 vueltas.
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What’s the circle equation for this ? Calculus
Greetings from Brasil...
The expression that allows using the equation of a circle is:
(X - Xc)² + (Y - Yc)² = R²
as
Xc = - 4, Yc = 4 and R = 4, then
(X + 4)² + (Y - 4)² = 16or
X² + 8X + Y² - 8Y + 16 = 0
You draw one card from a 52 card deck. Then the card is replaced in the deck and the deck is shuffled, and your draw again. Find the probability of drawing a five each time.
Answer:
1/169Step-by-step explanation:
There are 4 five's in the deck.
Probability of drawing a five is:
P (5) = 4/52 = 1/13Since the card is replaced, it has same probability the second time.
So the probability of drawing a five twice is:
P(5, 5) = 1/13*1/13 = 1/169ALGEBRA 1 HW!! I WILL GIVE BRAINLYEST prove that this graph is arithmetic
The point after the first one is (2,5). The point after the third one is (4,11) The fifth point is (5,14). The last point is (6,17)
Which three lengths CANNOT be the lengths of the sides of a triangle?
13 m, 13 m, 12 m
5 m, 10 m, 6 m
24 m, 16 m, 11 m
20 m, 6m, 9 m
Which expression is equivalent to
A:4x
B:4x+4
C:x^2+7x+10
D:-x^2-5x-6
The expression equivalent to [tex](x+2)+[4x-(\frac{x^{2}+6x+8 }{x+4})][/tex] is option (A) 4x.
As per the question statement, we are given with an expression [tex](x+2)+[4x-(\frac{x^{2}+6x+8 }{x+4})][/tex].
We are required to simplify the above mentioned expression.
To solve this question, let us simplify the expression, part by part.
First, We are considering the part (x² + 6x + 8), which can be rewritten as
[tex][( (x^{2} + 6x + 9) - 1][/tex]...(1)
Now, [tex](x^{2} +6x +9)=[(x)^{2} +(2*x*3)+(3)^{2}][/tex]...(2)
Comparing [tex][(x)^{2} +(2*x*3)+(3)^{2}][/tex] with the standard form of
[(a + b)² = (a² + 2ab + b²)], we get, (a = x) and (b = 3).
Therefore, [tex][(x^{2} +6x +9)=(x+3)^{2}][/tex], then,
[tex][( (x^{2} + 6x + 9) - 1] = [(x+3)^{2} -1]\\or, (x^{2} + 6x + 8)=[(x+3)^{2}-(1)^{2}][/tex]...(3)
Again, comparing [tex][(x+3)^{2}-(1)^{2}][/tex] with the standard expansion of
[(c²- d²) = (c + d)(c -d)], we get, [(x + 30 = c] and (d = 1).
Therefore, [tex][(x+3)^{2}-(1)^{2}]=[(x+3+1)(x+3-1)][/tex]
[tex]or, (x^{2} + 6x + 8) = (x+4)(x+2)[/tex].
Using the simplified value of (x² + 6x + 8) in the expression [tex](x+2)+[4x-(\frac{x^{2}+6x+8 }{x+4})][/tex], we get,
[tex](x+2)+[4x-(\frac{x^{2}+6x+8 }{x+4})]=(x+2)+[4x-\frac{(x+4)(x+2)}{(x+4)} ]\\or, (x+2)+[4x-(\frac{x^{2}+6x+8 }{x+4})]=(x+2)+[4x-(x+2)]\\or, (x+2)+[4x-(\frac{x^{2}+6x+8 }{x+4})]=(x+2)+[(4x-x)-2]\\or, (x+2)+[4x-(\frac{x^{2}+6x+8 }{x+4})]=(x+2)+(3x-2)\\or, (x+2)+[4x-(\frac{x^{2}+6x+8 }{x+4})]=[(x+3x)+(2-2)]\\or, (x+2)+[4x-(\frac{x^{2}+6x+8 }{x+4})]=4x[/tex]
Expression: Mathematical statements, that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between are known as expressionsTo learn more about expressions, click on the link below.
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Write an equation to represent the real world problem below.
The area of a rectangle measures 9/14 ft^2. It has a length of 3/7 of a foot and a width of 1 1/2 feet.
The equation which represents the real world problem involving a rectangle as described in the task content is; 9/14 = 3/7 × 3/2.
What is the equation which represents the real world problem as given in the task content?It follows from the task content that the equation which represents the real world problem involving a rectangle be determined.
It follows from plane shape measures that the area of a rectangle is;
Area = length × width.
Hence, from the parameters given; we have;
Area = 3/7 × 1 1/2
Area = 3/7 × 3/2
Ultimately, the model according to the given parameters which hold true is;
9/14 = 3/7 × 3/2.
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7 1/2 divided by 1 9/10 in simplest form.
Answer:
3 18/19
Step-by-step explanation:
1. Change to improper fractions.
(You do this by multiplying the denominator and the whole number, then add the numerator.)
7 1/2 ⇒ 15/2
1 9/10 ⇒ 19/10
So now its: 15/2 ÷ 19/10
2. Keep, change, flip
Keep the first number (15/2), change the division to multiplication, flip the other fraction (From 19/10 to 10/19).
3. Multiply
15/2 × 10/19 = 150/38
Simplified, the answer is 3 18/19
