Answer:
-80zx^5y^2
Step-by-step explanation:
Here, we want to multiply the expressions
We take the similar terms together and add the exponent
We have this as:
(8 * -10) * (x^2 * x^3) * (y^0 * y^2) + z
-80z * (x^(2+3)) * (y^(0+2))
-80z * x^5 * y^2
-80zx^5y^2
What is the radius of the diameter of a circle that is 14 inches?
Diameter: The length of the circle
Radius: Half of the diameter
If the diameter of the circle is 14 inches, the radius would be 7 inches as the radius is half the diameter
PLEASE HELP ME
In a batch of eggs, 3% were broken. There were 18 broken eggs
How many eggs were there in the batch?
Answer: 600 eggs
Step-by-step explanation:
Let total number of eggs be x.So, 3% of x were broken and there were 18 broken eggs. We can write this as: 0.03*x =18x=18/0.03x= 600 eggs (answer).
Total number of eggs in the bags are 600.
What is Percentage?Percentage is a number or ratio that can be "expressed as a fraction of 100".
According to the question,
Percentage of broken eggs = 3%
Number of broken eggs = 3/100 = 0.03
To calculate the total number eggs,
[tex]\frac{3}{100}[/tex] (x) = 18
x = 1800/3
x = 600.
Hence, the total number of eggs in bags are 600.
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A recipe calls for 1/4
cup of milk for every 1 1/2
cups of flour. How many cups of flour will you need for 1/2
cup of milk?
Answer:
3 cups flour
Step-by-step explanation:
set up a proportion and cross-multiply:
1/4 = 1/2
3/2 f
1/4f = 3/4
4f = 12
f = 3
Answer:
3 cups
Step-by-step explanation
basically if 1/4 cup of milk is for 1 1/2 cups of flour ------ 1/2 cup is twice the amount that a quarter cup is because a 1/4 cup + a 1/4 cup = 1/2 cup so you double the amount of flour too and 1 1/2 + 1 1/2 is 3 cups of flour.
1/4 + 1/4 = 1/2 (milk)
1 1/2 + 1/12 = 3 (flour)
A school hall costs £200 to hire.
Parents get a 10% discount.
30 parents share the cost equally.
How much does each parent pay
Answer:
£6
Step-by-step explanation:
The computation of the each parent pay is shown below;
But before that the cost of hall after considering the discount is
= £200 - 10% of £200
= £200 - £20
= £180
Now there are 30 parents
So each parent pay is
= £180 ÷ 30 parents
= £6
what is, v(20)=450(1+0.025)^20
Step-by-step explanation:
step 1. v(20) = 450(1.025)^20
step 2. 737.3774.
Answer:
20v=737.37739813
Step-by-step explanation:
An industrial factory makes 4 3/5 yards of
chain every minute. The cost of each yard of
chain is $6.59. What is the total cost for all
chain produced in 10 minutes?
The total cost for all chains produced in 10 minutes will be $303.14.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
An industrial factory makes 4 ³/₅ yards of chain every minute. Then the rate is given as,
Rate = 4 ³/₅
Rate = 4 + 3/5
Rate = 4 + 0.60
Rate = 4.60 yards per minute
The cost of each yard is $6.59. Then the cost per minute is given as,
⇒ $6.59 x 4.60
⇒ $30.314 per minute
Then the total cost for all chains produced in 10 minutes will be given as,
⇒ $30.314 x 10
⇒ $303.14
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17
Two boys are in a weight lifting contest to see who is stronger. Matt lifts 500 pounds, Jamie lifts 2000 newtons.
Who is stronger? Show what you did to get your answer.
[IN=4.480]
Answer:Matt
Step-by-step explanation:
this is Jamies weight
449.618 Pounds force (lb)
The length of a rectangle is
8 inches longer than the
width. If the ratio of the
length to perimeter is 5:16,
what is the area of the
rectangle?
Answer:
Step-by-step explanation:
The area of the rectangle is 240 square inches if the length of a rectangle is 8 inches longer than the width. If the ratio of the length to the perimeter is 5:16.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
It is given that:
The length of a rectangle is 8 inches longer than the width. If the ratio of the length to the perimeter is 5:16
As we know, the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.
Let l and w be the length and width of the rectangle:
l = 8 + w
w = l - 8
l/P = 5/16 (the length to the perimeter is 5:16)
P is the perimeter of the rectangle.
P = 2(l + w)
l/[2(l + w)] = 5/16
16l = 10(l + w)
8l = 5(l + l - 8)
8l = 10l - 40
2l = 40
l =20 inches
w = 20 - 8 = 12 inches
Area = 20x12 = 240 square inches
Thus, the area of the rectangle is 240 square inches if the length of a rectangle is 8 inches longer than the width. If the ratio of the length to the perimeter is 5:16.
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Suppose a student picks 3 points at random from Q, R, S, T, W shown below. Find the probability that these randomly chosen points are noncollinear
7x² 10
what is the value of the expression when x=6
Answer:
2250
Step-by-step explanation:
X =6
7x2 10
7*(6)2 *10
7*36* 10
225*10
2250
A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that had 3840 seats. The students left 2496 seats vacant. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answer:
The answer is 35%
Step-by-step explanation:
To work out percentage.
(No. Of students / Total Available Seats) * 100
1,344 ÷ 3840 = 0.35
0.35 * 100 = 35%
So, the answer is 35%
Hope this helps! :)
The percentage of the seats in the theater were filled by the 6th graders on the trip will be 35%.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
Total seats in theater = 3840
And, The students left 2496 seats vacant.
Now,
Find the percentage of the seats in the theater were filled by the 6th graders on the trip as;
Since, Total seats in theater = 3840
And, The students left 2496 seats vacant.
So, Number of students in 6th grade = 3840 - 2496
= 1344
Hence, The percentage of the seats in the theater were filled by the 6th graders on the trip;
= 1,344 / 3,840 x 100
= 35%
Thus, The percentage of the seats in the theater were filled by the 6th graders on the trip will be 35%.
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PLEASE HELPPPP!!!!!!!!!!
Answer:
8x15x12=1440
Step-by-step explanation:
(6x^2−5x)−(4x^2−3x+4)
Answer:
2 • (x + 1) • (x - 2)
Step-by-step explanation:
2 times (x + 1) times (x - 2)
Solve for the area of this triangle, explanation would be greatly appreciated!
9514 1404 393
Answer:
13√731 ≈ 351.48 cm²
Step-by-step explanation:
When given three sides of a triangle, there are a number of ways that the area may be calculated. Perhaps the most straightforward is the use of Heron's formula.
Where s is the semi-perimeter, the area is given by ...
A = √(s(s -a)(s -b)(s -c)) . . . . . . . . s = (a+b+c)/2
Here, the value of s is ...
s = (30 +30 +26)/2 = 43
A = √(43(13)(13)(17)) = 13√(43·17)
A = 13√731 ≈ 351.48 . . . . . square centimeters
_____
Additional comments
This triangle is isosceles, so the altitude can be found from the Pythagorean theorem:
h² +13² = 30²
h = √(900 -169) = √731
Then the area is ...
A = (1/2)bh = (1/2)(26 cm)(√731 cm) = 13√731 cm²
__
You can also find one of the angles using the Law of Cosines, then find the area from ...
Area = (1/2)a·b·sin(C) . . . . . . for any two sides a, b, and enclosed angle C
__
Ultimately, all of these methods are equivalent to Heron's formula.
Solve the system of linear equations using substitution.
x=7y-9
x+7y=3
Answer:
2. x = 3-7y
Step-by-step explanation:
Find the values of x and y.
Answer:
x=10 y=20
Step-by-step explanation:
из 300 насосов 60 подтекает Найдите вероятность купить хороший насос
80% шанс получить хороший насос Конрад
Paige earns $15.50 per hour and works 20 hours each week. She gets a 10% raise and decides to save 20% of her paycheck for a new phone. How much money will Paige have saved after 4 weeks?
A. 297.60
B. 68.20
C. 136.40
D. 272.80
Answer: b
Step-by-step explanation:
Here is a list of numbers.
32 29 30 37 34 33 31
Tanya thinks that to work out the median, she simply needs to find
the middle number. So she says that “37" is the median for this list of numbers.
Tanya's answer is not correct.
a) Describe what is wrong with her method.
b) Work out the median of the numbers in the list.
Answer:
a). To find the median from a set of numbers, you need to arrange them from ascending order (smallest to biggest), and then you need to find the number in the middle
b). 32
Step-by-step explanation:
b). Smallest to biggest
29, 30, 31, 32, 33, 34, 37
From the set of numbers given, we can clearly see that 32 is in the middle.
Simplify the expression 6x-9+3x+2 .
Answer:
9x - 7
Step-by-step explanation:
6x - 9 + 3x + 2
= (6x + 3x) (- 9 + 2)
= 9x - 7
agree or desagree? short question
Answer:
im in the middle of both sides
Step-by-step explanation:
Please someone actually help me with this
Answer:
π radians
Step-by-step explanation:
The angle subtended at the centre by an arc, has the same measure as the arc subtending it, then
angle subtended = measure of arc = π radians
The histogram gives information about the waiting in minutes
Answer:
I dont know if that was a question, but that statement is true.
the question is
the incomplete histogram and table give some information about the waiting time in minutes, experienced by patients at a dental surgery. use the histogram to complete the table.
There are only 5 blue cards, 2 green cards and 4 red cards in a pack.
Isabella is going to take at random one card from the pack.
(a) Write down the probability that Isabella will take a blue card.
Answer:
5/11 or 45 percent, since there are 5 blue cards
The probability that Isabella will take a blue card is 5/11.
What is probability?Probability is the chance that something will happen, or how likely it is that an event will occur.
Formula for probabilityP(E) = total number of favorable outcomes/ total number of outcomes
Where,
P(E) is the probability of any event.
According to the given question
Five blue cards, two green cards and four red cards.
⇒ total number of outcomes = 5+ 2 + 4 = 11
For finding the probability of blue card
Total number of blue cards is 5.
⇒ total number of favorable outcomes = 5
Therefore,
The probability of getting blue card
= number of favorable outcomes/ total number of outcome
= [tex]\frac{5}{11}[/tex]
Hence, the probability that Isabella will take a blue card is 5/11.
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Tia's dessert cost her $2.50 plus 0.15 per topping..
Proportional or non-proporitonal?
Answer: Non-proportional
This is non- proportional
Which number line model represents the expression -2 + 4.5 ?
Answer:
the second pic. A
Step-by-step explanation:
Evaluate the function f(x)=2x-7 using the values given below. f(-3)=
Answer:
-13
Step-by-step explanation:
f(x)=2x-7
f(-3)=2(-3)-7=-6-7=-13
PLEASE HELP IM GONNA FAIL WILL GIVE BRIANLESS
Answer:
8) 1,965,600 passwords
9) 1/8
Step-by-step explanation:
8) 9 · 8 · 7 · 6 ·26 ·25 = 1,965,600
9) 1/2 · 1/2 · 1/2 = 1/8
Determina todo lo que falta a los triángulos rectangulos aplicando las funciones trigonométricas.
Ayúdenme por favor con este ejercicio matemático :(
Answer:
b
Step-by-step explanation:
Help me I can’t understand this Q
Answer:
y - 7 = - [tex]\frac{5}{2}[/tex] (x + 2)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - [tex]\frac{5}{2}[/tex] and (a, b ) = (- 2, 7 ) , then
y - 7 = - [tex]\frac{5}{2}[/tex] (x - (- 2) ) , that is
y - 7 = - [tex]\frac{5}{2}[/tex] (x + 2)
