Answer:
5/12
Step-by-step explanation:
Multiply [tex]\frac{1}{2}[/tex] times [tex]\frac{5}{6}[/tex] by multiplying the numerator times the other numerator and the denominator by the other denominator. Which leaves you with [tex]\frac{5}{12}[/tex].
hope this helps!
Guided Practice
Find the balance in the account.
$500 principal earning 4% compounded quarterly, after 6 years.
A.
$632.66
B.
$530.76
C.
$634.87
Answer:
C.
$634.87
Step-by-step explanation:
A=500×(1+0.04÷4)^(4×6)
A=634.87
A farmer notes that in a field full of horses and geese there are 30 heads and 84 feet. How many of each animal are there?
Answer:
There are 12 horses and 18 geese.
Step-by-step explanation:
We are given that in a field full of horses and geese, a farmer notes that there are 30 heads and 84 feet.
We can write a system of equations using the given information.
Let the amount of horses there are be represented by h and geese by g.
Assuming each horse and geese has only one head, we can write that:
[tex]\displaystyle h + g= 30[/tex]
And assuming that each horse has four feet and each geese has two feet, we can write that:
[tex]4h + 2g = 84[/tex]
This yields a system of equations:
[tex]\displaystyle \left\{\begin{array}{l} h + g = 30 \\ 4h + 2g = 84 \end{array}[/tex]
We can solve it using substitution. From the first equation, isolate either variable:
[tex]g = 30 - h[/tex]
From the second, we can first divide by two:
[tex]2h + g = 42[/tex]
And substitute:
[tex]2h + (30 - h) = 42[/tex]
Combine like terms:
[tex]h + 30 = 42[/tex]
Subtract:
[tex]h = 12[/tex]
Therefore, there are 12 horses.
And since the total number of animals is 30, there must be 30 - 12 or 18 geese.
In conclusion, there are 12 horses and 18 geese.
The formula d=rt is used to calculate the distance traveled by an object moving at a constant average speed during an elapsed time . How long would it take a pilot to fly 1240 miles at an average speed of 220 mph?
Answer:
Approx 5.64 hours
Step-by-step explanation:
d=rt
t=d/r
To find the time, divide distance by velocity
1240 / 220 = approx 5.64 hours
y = x² + 7x - 5 Can be written in the form y = ( x + a )² + b. Find the value of a and the value of b.
Answer:
[tex]a=\dfrac{7}{2} \\\\b=\dfrac{49}{4} \\[/tex]
Step-by-step explanation:
[tex]y=x^2+7x-5\\\\=x^2+2*\dfrac{7}{2}*x +\dfrac{49}{4} -\dfrac{49}{4} -\dfrac{20}{4} \\\\=(x+\dfrac{7}{2} )^2+\dfrac{69}{4} \\\\a=\dfrac{7}{2} \\\\b=\dfrac{49}{4} \\[/tex]
solve for x of the given angle
Answer:
m<ABC = 92
Step-by-step explanation:
(3x + 23) and 4x are equal angle wise. So we have the equation:
(3x + 23) = 4x
3x = 4x - 23
-x = -23
x = 23
Multiply x by 4 which is 92
Is 0.14 equivalent to a. 8/12, b. 5/8, c. 2/3, d. 7/50, e. 4/5, f. 5/3, g. 19/25, h. 1/3, i. 2/9, j. 1/33, k. 4/9
Answer:
7/50
Step-by-step explanation:
7 divided by 50 equals 0.14 in decimal format.
plz plz help fast no trolls plz thx
0.111111.... a rational or irrational number
The Willis Door company gave its employees
bonuses. Six employees received a bonus of $940
each; 4 employees received a bonus of $820 each;
5 employees were paid a bonus of $1150 each.
What was the average bonus paid to these
employees?
Answer:
The answer is $194
Step-by-step explanation:
a fair six sided die is rolled find the probability of getting a 2
Answer:
1/6
Step-by-step explanation:
what is 3.6 times 0.05. equal
Step-by-step explanation
Then you count how many numbers are after the decimal point(6,0,0,5) making 4. So the decimal point will be inserted by counting 4 spaces from the back.
brainiest to whoever is right there
Answer:
If we divide 360 degree into four parts the all four parts hold 90 degree and the degree of angle DMB= 60.
60 degree.
The formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh, where s is the atmospheric pressure, d is the density of the liquid, and g is the acceleration due to gravity.
(Pls Explain the Answer in simple terms)
Answer:
The formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh
[tex]p(pressure) = s(atmospheric \: pressure) + d(density \: of \: the \: liquid)g(acceleration \: due \: to \: gravity)h[/tex]
Step-by-step explanation:
where s is the atmospheric pressure, d is the density of the liquid and g is the acceleration due to gravity.
8. In the 24-hour clock system, midnight is written as ____.
In the 24-hour clock system, midnight is written as _0h_
Answer:
00:00
Step-by-step explanation:
brainiest to whoever right
Answer:
Step-by-step explanation:
DC=2-0=2
Or
DC=√[(2-0)²+(-2-(-2))²]=√[4+(-2+2)²]=√4=2
BC=(0-(-2))=2
Or
BC=√[(2-2)²+(-2-0)²]
=√[0+4]
=2
AB=√[(2-0)²+(0-4)²]
=√[4+16]
=√20
=2√5
Perimeter=2[DC+BC+AB]
=2[2+2+2√5]
=2[4+2√5]
=8+4√5 Units
How would I write 15 less than the product of two and k is 15 as an equation?
Answer:
2k-15=15
Step-by-step explanation:
product if 2 and k is 2k
15 less than 2k is 2k-15
15<(2xk)
k = 15
2x15=30
15<30
hope this helps :)
Determine the perimeter of the shape to the nearest centimeter. (Picture included)
Answer:
44 cm
Step-by-step explanation:
So we know that the bottom 12 is congruent to to the line at the top, so that is also 12. And the 5 is congruent to the other 3 lines with one hash mark going through it. So perimeter is the sum of all the side lengths on a polygon. So we have 12+12+5+5+5+5=44.
Hope this helps! :D
if two adjacent sides of rectangle having perimeter 21 cm are in the ratio 3:4 what is the area of the rectangle is ...cm ?
Jenny completed four-fifths of her summer reading assignment. Her classmate Antonio completed seven-eighths of his assignment, and classmate Jerry completed three-fourths of his assignment. Which student read the least? Which student read the most? Which student fell in the middle? (Show all work.)
Answer:
Jerry, Antonio, Jenny
Step-by-step explanation:
To solve this, we can represent the numbers as fractions, make them have one common denominator, and go from there
First, we can represent these as fractions:
Jenny:
four-fifths = 4/5
Antonio:
seven-eighths = 7/8
Jerry:
three-fourths = 3/4
Next, we can find the lowest common multiple. We can do this by listing the multiples of each number until something is in common for all 3
4:
4, 8, 12, 16, 20, 24, 28 ,32, 36, 40, 44, 48
8:
8, 16, 24, 32, 40, 48, 56, 64
5:
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60
One number that is in common is 40.
Our next step is to find out what we need to multiply each number by to equal 40. We can do this via division.
4:
40/4 = 10
8:
40/8 = 5
5:
40/5 = 8
Next, we can multiply the numerator and denominator by the same number, essentially multiplying it by 1. For example, 4/5 * 5/5 = 20/25, which is still equal to 4/5 because 5/5 = 1 and multiplying any number by 1 keeps it the same.
3/4 * 10/10 = 30/40
7/8 * 5/5 = 35/40
4/5 * 8/8 = 32/40
We can see that 3/4 (Jerry) is the lowest, 7/8 (Antonio) is the highest, and 4/5 (Jenny) is in the middle
A number is multiplied by 16, and that product is added to 4. The sum is equal to the product of 4 and 9. Find the number.
Answer:
The number is 2
Step-by-step explanation:
x * 16 + 4 = 9*4
x * 16 + 4 = 36
x * 16 + 4 - 4 = 36 - 4
x * 16 = 32
x * 16 / 16 = 32 / 16
x = 2
Answer:
The number is 2
Step-by-step explanation:
let the number be "a"
16a+4=4×9
16a+4=36
16a=36-4
16a=32
a=2
Checkered Cab Taxi charges a $ 5.95 flat rate for a ride in the cab. In addition to that, they charge $ 0.25 per mile. Katie has no more than $ 20 to spend on a ride. At most, how many miles can Katie travel without exceeding her spending limit?
Answer: 56.2 miles
Step-by-step explanation:
5.95+0-25x less or equal 20
0.25x less or equal 20 - 5.95
0.25x less or equal 14.05
X less or equal 14.05/0.25
X = 56.2
Katie can travel at most 56.2 miles in $20.
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions is called inequality.
According to the given question.
The total money Katie have = $20.
Amount charged by cab taxi for ride = $5.95
Charges for per mile ride = $0.25
Let Katie travel x miles without exceeding her expending limit.
From the given condition we get a inequality
[tex]20\geq 5.95+0.25x[/tex]
Solve the above inequality for x.
⇒[tex]20 - 5.95\geq 0.25x[/tex]
⇒ [tex]14.05\geq 0.25x[/tex]
⇒[tex]x\leq \frac{14.05}{0.25}[/tex]
⇒[tex]x\leq 56.2miles[/tex]
Katie can travel at most 56.2 miles in $20.
Find out more information about inequality here:
https://brainly.com/question/20383699
#SPJ2
Which equation is represented by the graph?
Answer:
The choose D. y=|x|–1
Your choice is right
I hope I helped you^_^
What is 1.7¯ expressed as a fraction in simplest form?
16/9.................
Answer:
16/9
Step-by-step explanation:
Help please! Describe how figure 20 will look like
9514 1404 393
Answer:
Each colored block in Figure 20 will be a 20×20 square of smaller squares of the same color. The red-green pattern will be identical.
Step-by-step explanation:
Each colored block in Figure N is an N×N array of small blocks the same color. The pattern of red and green N×N blocks is the same from one figure to the next. We expect Figure 20 to fit this description.
which of the following shows 2.1851 rounded to the nearest hundredth?
A. 2.18
B. 2.185
C. 2.19
D. 2.2
Answer:
C. 2.19
Step-by-step explanation:
Simplify: (5x² – 3x + 7x) + (9x² + 2x² + 7x)
O 14x2 – x2 + 14x
O 14x2 + 13x
O 16x4 + x3
O 16x2 + 11x
O 16x2 – 11x
Answer:
16x^2+11x
Step-by-step explanation:
(5x² – 3x + 7x) + (9x² + 2x² + 7x)
Combine like terms
5x^2+9x^2+2x^2-3x+7x+7x
16x^2+11x
PLEASE HELP
-10+7/4p=-38
Show your work in details if you can, I have a hard time understanding this.
Answer:
Here is your answer . Hope it helps you
Answer:
p = -49
Step-by-step explanation:
-10 + 7/4p = -38
+7/4 p = -38 + 10. ..........(-10 taken to other side)
+7/4 p = -28
p = -28 × 7/4 ........( now taken 7/4 to other side)
p = -196/4 .......(here we have multiplied . (-28×7 )
p = -196/4
p = -49
so p = -49
MARK AS BRAINLIST IF IT IS USEFUL
Please help!! Will give brainlist is answer right
Answer:
AStep-by-step explanation:
Multiply: 1/2 x 1 315 x 2 719 =
mo
Answer:
the answer is 1787742.5
Step-by-step explanation:
this is usually a calculator question so use a calculator and put 1/2 ×1315×2719
Cindy had $100 in her savings account. The bank accidentally charged her a $30 service fee. How much money does that leave her with as a balance? *
Answer:
$70
Step-by-step explanation:
Find how much money she has left by subtracting 30 from 100:
100 - 30
= 70
So, she has $70 left in her balance.