Answer:
1.5
Step-by-step explanation:
58(r)^5 = 440.4375
r^5 = 440.4375 / 58
r^5 = 7.59375
r = 1.5
Unit 4: Systems of Equations
One week, Carlos bought 6 dog treats and 4
cat treats for $42. The next week, he bought 2
dog treats and 7 cat treats for $31.
Create an algebraic representation of the
situation above.
How many does each dog tre at cost?
How much does each cat treat cost?
Answer:
$5 for a dog treat
$3 for a cat treat
Step-by-step explanation:
week 1: 6d + 4c = 42
week 2: 2d + 7c = 31
*used calculator & guessed what each treat costs*
WEEK 1:
6(5) + 4(3) = 42
30 + 12 = 42
42 = 42
WEEK 2:
2(5) + 7(3) = 31
10 + 21 = 31
31 = 31
Angle A terminates in the fourth quadrant with cosA= 4/5. The exact value of A is?
Answer:
324.13°
Step-by-step explanation:
Applying,
cosA = 4/5
To find the value of A, we find the inverse of the cosine of both side,
(cosA)cos⁻¹ = cos⁻¹(4/5)
A = cos⁻¹(0.8)
A = 36.87° (First quadrant)
The above value of A is its value in the first quadrant
To find the value of A in the fourth quadrant, we use the expression
∅₄ = 360-∅₁............... Equation 1
Where ∅₄= value of A in the fourth quadrant, ∅₁ = value of A in the first quadrant.
Therefore,
∅₄ = 360-36.87
∅₄ = 324.13°
Hence the value of A in the fourth quadrant is 324.13°
beth walks 8 miles in 120 minutes. assume beth maintains a constant speed. what is the number of miles beth walked in one hour? i need helppp!!
Answer:
1 mile in 15 minutes
Step-by-step explanation:
Simply divide 120 by 8
120/8=15
what is 500+222+221 and
Answer:
943
Hope that this helps!
What is the answer and explanation
Answer:
- 4 1/3 < - 1 3/4
Step-by-step explanation:
The further down you go on the left side of the number line, the smaller the numbers will be. Since -4 1/3 is further down the left side of the number line than -1 3/4, it's smaller, or less than, -1 3/4
How can the manager use the data in the dot plot to improve the airline?
Answer:
The dot plot shows that most planes fly below the optimal cruising speed. This means that the airline isn’t being as efficient as it can be. So, the manager needs to have a discussion with the pilots to determine why they aren’t reaching the optimal cruising speed or check the planes to make sure everything is running at full capacity.
Step-by-step explanation:
the answer that is given on edmentum
There is a prism with a pentagonal base the height is 8 cm the area of the pentagonal base is 30.5cm what is the volume of the prism
Answer:
244 cm³
Step-by-step explanation:
Step 1: Given data
Height of the prism with a pentagonal base (h): 8 cm
Area of the pentagonal base (A): 30.5 cm²
Step 2: Calculate the volume of the prism with a pentagonal base
We have a regular pentagonal prism, that is, the 5 sides of the base are equal and we know the area of the base and the height of the prism. We can calculate its volume using the following expression.
V = A × h
V = 30.5 cm² × 8 cm = 244 cm³
dèez nuts in your mouth lol
Answer:
free
Step-by-step explanation:
points .-.
Which of the following rational numbers lies between 1/3 and 2/3?
24/48, 20/48, 18/48, 17/48
==========================================================
Explanation:
1/3 = 0.333 approximately
2/3 = 0.667 approximately
We're looking for values between 0.333 and 0.667
We can rule out choice A because 1 doesn't fit the description.
Choice C can be ruled out as well because 9/12 = 0.750 isn't between 0.333 and 0.667
--------------------------
Choice B works because all the decimals shown below are between 0.333 and 0.667
24/48 = 0.50020/48 = 0.417 (approximate)18/48 = 0.37517/48 = 0.354 (approximate)When 3 is subtracted from one third of a number n, the result is less than 6. Which inequality and solution represent this situation?
Answer:
1/3n-3÷6
Step-by-step explanation:
3 is subtraced form 1/3
Answer:
n < 27
Step-by-step explanation:
1/3n - 3
1/3n - 3 < 6
Add 3 to each side.
1/3n - 3 + 3 < 6 + 3
Combine like terms.
1/3n < 9
Divide each side by 1/3.
1/3n ÷ 1/3 < 9 ÷ 1/3
Combine like terms.
n < 27
what question is being asked ?
Answer:
4 meters
Step-by-step explanation:
Assuming that the garden is a rectangular garden, its area would be length ×width.
Let the length be L meters and the width be W meters.
Area= L ×W
48= LW -----(1)
Given that the length is 3 times the width,
L= 3W -----(2)
Substitute (2) into (1):
48= 3W(W)
3W²= 48
Divide both sides by 3:
W²= 48 ÷3
W²= 16
Square root both sides:
[tex]W = \sqrt{16} [/tex]
W= 4 (reject negative as width cannot be a negative number)
Thus, the width of the garden is 4 meters.
You have some candies in your pocket. A friend gives you five more candies. When you count all your candies you have 14
Answer:
9 candies
Step-by-step explanation:
You are required to find the number of candies in your pocket
Let
x = number of candies in your pocket
A friend gives you five more candies.
Total candies = 14
This can be represented by the equation:
Total candies = candies in your pocket + candies your friend gave you
14 = x + 5
14 - 5 = x
9 = x
x = 9 candies
x = number of candies in your pocket = 9
The circumference of a circle is 6.28 meters. What is the circle's radius?
C = 6.28 m
What is the equation of a circle with center (-3, -5) and radius 4?
Answer:
The choose (A)
A- (x+3)²+(t+5)²=16
Answer:
A (x + 3)^2 + ( y + 5 )^2 = 16
Step-by-step explanation:
The formula for equation of a circle is (x - h ) ^2 + ( y - k ) ^2 = r ^2
( h , k ) represent the coordinates
r represents the radius
Plug in the numbers ( x - (-3) ) ^2 + ( y - (-5) ) ^2 = 4 ^2
2 negatives make a positive
So the equation would be (x + 3)^2 + ( y + 5 )^2 = 16
You also need to make sure you square the radius
A tiene la mitad de lo que tiene B. Si A gana 66 y B pierde 90. A tendrá del doble de lo que le quede a B ¿cuanto tiene cada uno?
Respuesta:
a = 82; b 164
Explicación paso a paso:
a = 1 / 2b - - - (1)
a gana 66 = a + 66
b = b - 90
a = 2b
a + 66 = 2 (segundo - 90) - - - (2)
Ponga a = 1 / 2b en (2)
1 / 2b + 66 = 2 (b-90)
0.5b + 66 = 2b - 180
0.5b - 2b = - 180 - 66
-1,5b = - 246
b = 164
a = 1 / 2b
a = 1/2 * 164
a = 82
A warehouse has a height of 8\frac{1}{2}8 2 1 meters, length of 120120 meters, and width of 20\frac{3}{10}20 10 3 meters
Answer:
10,353m³
Step-by-step explanation:
We can look for the volume of the warehouse since we are not told what to look for
Volume of the warehouse = length * width * height
Given
Length = 120m
Width = 20 3/10 = 203/20 m
Height = 8 1/2m = 17/2 m
Volume of the warehouse = 120 * 203/20 * 17/2
Volume of the warehouse = 6 * 203 * 17/2
Volume of the warehouse = 3 * 203 * 17
Volume of the warehouse = 10,353 cubic metres
Hence the volume of the warehouse is 10,353m³
Find an ordered pair that represents the vector from (-3.7,2) to (-4, -5).
a.
(-7.7,-3)
c.
(1.3,7)
b.
(-0.3,-7)
d.
(7.7,3)
Please select the best answer from the choices provided
A
B
C
D
Given:
A vector from (-3.7,2) to (-4, -5).
To find:
An ordered pair that represents the vector
Solution:
If [tex](x_1,y_1)[/tex] is the initial point and [tex](x_2,y_2)[/tex] is the terminal point of a vector, then ordered pair that represents the vector is:
[tex](x_2-x_1,y_2-y_1)[/tex]
A vector from (-3.7,2) to (-4, -5). So, the ordered pair that represents the vector is:
[tex](x_2-x_1,y_2-y_1)=(-4-(-3.7),-5-2)[/tex]
[tex](x_2-x_1,y_2-y_1)=(-4+3.7,-7)[/tex]
[tex](x_2-x_1,y_2-y_1)=(-0.3,-7)[/tex]
Therefore, the correct option is b, i.e., (-0.3,-7).
whats the missing leg?
Answer:
Step-by-step explanation:
using pythagoras theorem
a^2+b^2=c^2
a^2+2^2=7^2
a^2+4=49
a^2=49-4
a^2=45
a=[tex]\sqrt{45}[/tex]
a=3[tex]\sqrt{5}[/tex]
a=6.7
A train leaves San Diego at 1:00 pm. A second train leaves the same city in the same direction at 3:00 pm. The second train travels 30 mph faster then the first. If the second train overtakes the first at 6:00 pm, what is the the speed of each of the two trains?
Answer:
The speed of the first train is 45 mph and the speed of the second train is 75 mph
Step-by-step explanation:
Let x represent the speed of the first train in mph. Since the second train, is 30 mph faster then the first, therefore the speed of the second train is (x + 30).
The first train leaves at 1:00 pm, therefore at 6:00 pm, the time taken is 5 hours. Therefore the distance covered by the first train at 6:00 pm = x mph * 5 hours = 5x miles
The second train leaves at 3:00 pm, therefore at 6:00 pm, the time taken is 3 hours. Therefore the distance covered by the second train at 6:00 pm = (x + 30) mph * 3 hours = (3x + 90) miles
Since the second train overtakes the first at 6:00 pm, hence:
3x + 90 = 5x
2x = 90
x = 45
Therefore the speed of the first train is 45 mph and the speed of the second train is 75 mph (45 mph + 30 mph).
HELP ASAP
A pair of equations is shown below:
y = 2x + 9
y = 4x − 3
Part A: Explain how you will solve the pair of equations by substitution or elimination. Show the first step you would use. (4 points) Write the solution. (2 points)
Part B: If the two equations are graphed, at what point will the lines representing the two equations intrsect? Explain your answer. (4 points)
Your answer:
Answer:
(6,21)
Step-by-step explanation:
Given that,
y = 2x + 9 .....(1)
y = 4x − 3 .....(2)
From equations (1) and (2),
2x + 9 = 4x − 3
Taking variables both sides and constants to another side.
9+3 = 4x-2x
12 = 2x
x = 6
Put the value of x in equation (1).
y = 2(6) + 9
y = 12 + 9
y = 21
The solution of the given equations is x = 6 and y = 21. If we graph them, they will intersect at (6,21).
The sails of two boats are pictured below. What is the value of y?
Answer:
C 70
Step-by-step explanation:
since 2 sides are parallel to each other, so is then the third side, and their these are similar triangles. that means all angles of one triangle are the same in the other.
remember, the sum of all angles in a triangle is always 180 degrees.
so, we know 2 angles. one is 90 degrees, x is 20 degrees, therefore
y = 180 - 90 - 20 = 70
Please help me with this
Step-by-step explanation:
angle 6 = 61° (definition of vertical angles)
angle 3 = 61° (definition of alternate interior angles)
angle 1 = 61° (definition of vertical angles)
angle 7 = 119° (definition of supplementary angles)
angle 5 = 119° (definition of supplementary and vertical angles)
angle 4 = 119° (definition of consecutive interior angles)
angle 2 = 119° (definition of vertical angles)
Evaluate 3(x + y) for x = 2 and y = 7 show work.
Answer:
[see below]
Step-by-step explanation:
[tex]3(x+y)\\\\3(2+7)\\\\3(9)\\\\\boxed{27}[/tex]
Hope this helps!
Answer:
27
Step-by-step explanation:
plug in what = x and y in the parenthisis
so that would be 3(2+7)
you do what is in the parentheisis first 2+7= 9
then you multiply 3*9= 27
Kane rolls a dice and flips a coin at the same time. What is the probability he rolls a 2 or lower and the coin lands on heads?
Answer:
The probability he rolls a 2 or lower and the coin lands on heads is 16.66%.
Step-by-step explanation:
Since Kane rolls a dice and flips a coin at the same time, to determine what is the probability he rolls a 2 or lower and the coin lands on heads the following calculation must be performed:
Given = 6 sides = 2/6
Coin = 2 sides = 1/2
2/6 x 1/2 = X
0.333 x 0.5 = X
0.1666 = X
0.1666 x 100 = 16.66
Therefore, the probability he rolls a 2 or lower and the coin lands on heads is 16.66%.
HELP!
If the volume of the pyramid is 216 cm, and the length of s is 6 cm, what is the length of the altitude, h?
A. 42cm
B. 36cm
C. 35cm
D. 18cm
The height of the altitude h is 18 cm.
What is an altitude?Altitude is the vertical height of an object above some chosen level.
To calculate the length of the altitude h, we use the formula below
Formula:
h = 3v/l²................ Equation 1Where:
v = Volume of the pyramidl = Length of the baseh = length of the altitudeFrom the question,
Given:
v = 216 cm³l = 6 cmSubstitute these values into equation 1
h = 3×216/6²h = 18 cmHence, the right option is D. 18 cm.
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**PIC INCLUDED**
What is the total payment
required to pay off a promissory
note issued for $500.00 at 10%
ordinary interest and a 180-day
term?
Answer:
the total payment need to pay is $525
Step-by-step explanation:
Given that
The amount at promissory note issued is $500
The rate of interest is 10%
And, the time period is 180 days
So, the total payment included is
= $500 + ($500 × 10% × 180 days ÷ 360 days)
= $500 + $25
= $525
hence, the total payment need to pay is $525
an amusement park has 350 people enter over 7 hours. what is the unit rate per hour?
Answer:
50
Step-by-step explanation:
to get the unit per hour, you have to divide the amout, which is 350, by the time, which is 7, and you get 50
A veterinarian asked each of her 18 patrons if they have a dog. She also asked each patron if they have a
cat. The Venn diagram below shows the data she collected.
Complete the following two-way frequency table.
Have a cat
Do not have a cat
Have a dog
Do not have a dog
Have a dog
Have a cat
5
7
6
0
Answer:
Have a cat Do not have cat
Have a dog 7 5
Do not have a dog 6 0
Step-by-step explanation:
Have a cat Do not have a cat
Have a dog 7 5
Do not have a dog 6 0
How to fill the two-way frequency table?The interesection of the two circles represents the number of patrons that have both dogs and cats. The number in the circle that represents the number of people that have dogs only is 5 and the number in the circle that represents the number of people that have cats only is 6.
To learn more about sets, please check: https://brainly.com/question/13192210
What is 25% of 40? OА. 10 O B. 15 O C. 20 OD. 25
Answer:
10 Sorry if wrong!
Step-by-step explanation:
40×0.25=10
Answer:
25/100 x 40 = 10
Step-by-step explanation:
The keyword 'of' means multiplication
Consider a percent out of 100, a way to remember is that the root word 'cent' means 100.
If 8 bags of grapes cost $20.00, how much do 3 bags of grapes cost?
Given that eight bags of grapes cost twenty dollars, the cost of 3 bags of grapes will be $7.5.
How much do 3 bags of grapes cost?Given that;
8 bags of grapes cost $20.00
First, we find how much each bag of grape cost
8 bags = $20.00
1 bag = x
x = $20.00 / 8
x = $2.5
Now, if 1 bag of grapes cost $2.5
3 bags of grapes will cost y
y = 3 ×$2.5
y = $7.5
Given that eight bags of grapes cost twenty dollars, the cost of 3 bags of grapes will be $7.5.
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