Step-by-step explanation:
8:15::16:x
8x = 15 x 16
8x = 240
x = 240/8
x = 30
Which of the following equations represents a proportional relationship?
A: y = 3x
B: y = 1/2x + 1
C: y = x/3 + 4
D: y = 2/5 - 5
Answer:
a
Step-by-step explanation:
y=3x
thus, a proportional relationship equation is y=kx .Where k is constant
You get dressed in the morning without looking at the colours of the clothes you choose. Your shirts are white or blue, your pants are black, red, or yellow, and your shoes are brown or black. How likely are you to choose a white shirt, black pants, and brown shoes?
Answer:
add up all the colors
Step-by-step explanation:
The growth in population of a certain bacteria over time, t in years, is modeled by the function f(t)=2000(3t) f ( t ) = 2000 ( 3 t ) . By what factor does the population grow each year? A. 3 B. 1 C. 6000 D. 2000
Answer:
c
Step-by-step explanation:
t = 1
f(t) = 2000 * (3 * 1)
f(t) = 6000
4432 buttons are made in three hours it takes 6 hours to make enough buttons to fill three boxes. When box B has been filled there are 3363 buttons remaining box C holds half of the amount of button as box A how many are there in A than C
Answer:
Box A has 1121 buttons more than Box C
Step-by-step explanation:
4432 boxes are made in three hours
Then in six hours, we would be making double of this
The number of boxes made is 4432 * 2 = 8864 boxes
Now,
we have boxes A B C to fill
Filling box B, we have 3363 boxes left to fill A and B
Now C holds half of what A hold
so we can say the ratio of buttons in C to A is 1:2
The number of buttons in C would thus be
1/3 * 3363 = 1121
Number of buttons in A would be 2/3 * 3363 = 2 * 1121 = 2242 buttons
Now the number of buttons with which the buttons in A exceeds that in C would be 2242 -1121 = 1121 buttons
i need help help pls
Answer:
MAD = 2
Step-by-step explanation:
First We'll find the mean of data
Mean = [tex]\frac{20}{5}[/tex]
Mean = 4
Then, we'll find absolute deviation
=> |4-3| = 1
=> |4-2| = 2
=> |4-1| = 3
=> |4-1| = 3
=> |4-3| = 1
Now, taking the mean of these absolute deviations:
MAD = [tex]\frac{1+3+3+2+1}{5}[/tex]
MAD = [tex]\frac{10}{5}[/tex]
MAD = 2
Simplify (4x - 6) - (5x + 1).
a)x+7
b)-X +7
c)X-7
d)-X-7
Answer:
Step-by-step explanation:
4x - 6 - 5x - 1
-x - 7
the answer is d
Answer:
D . -x - 7
Step-by-step explanation:
(4x-6) - (5x+1) = 4x-6-5x-1
4x-5x-1-6
4x-5x= -x
1-6 = -7
-x - 7
The probability that a biased coin will land on Heads is 0.43
Azmol is going to throw the coin 600 times.
Work out an estimate for the number of times the coin will land on Tails.
Answer:
[tex]342[/tex]
Step-by-step explanation:
The probability of heads landing is 0.43.
The probability of tails landing is 1-0.43=0.57.
Azmol throws the coin 600 times, so:
[tex]600 \times 0.57[/tex]
[tex]=342[/tex]
This year, Arvin and Mariah were in charge of making orange juice for campers. They planned to make the juice by mixing water and
frozen orange juice concentrate. To find the mix that would taste best, they decided to test some mixes.
Mix A: 2 cups concentrate
3 cups cold water
Mix B: 5 cups concentrate
9 cups cold water
Mix C: 1 cup concentrate
2 cups cold water
Mix D: 3 cups concentrate
5 cups cold water
1. Which mix will make juice that is the most 'orangey"? Explain your reasoning.
2. Which mix will make juice that is the least 'orangey"? Explain your reasoning
Answer:
Mix A is the most orangey, Mix C is the least orangey
Step-by-step explanation:
Mix A largest proportion of concentrate to water
Mix C is the smallest proportion of concentrate to water
If A(4 -6) B(3 -2) and C (5 2) are the vertices of a triangle ABC fine the length of the median AD from A to BC. Also verify that area of triangle ABD = Area of triangle ACD
Answer:
a) The median AD from A to BC has a length of 6.
b) Areas of triangles ABD and ACD are the same.
Step-by-step explanation:
a) A median is a line that begin in a vertix and end at a midpoint of a side opposite to vertix. As first step the location of the point is determined:
[tex]D (x,y) = \left(\frac{x_{B}+x_{C}}{2},\frac{y_{B}+y_{C}}{2} \right)[/tex]
[tex]D(x,y) = \left(\frac{3 + 5}{2},\frac{-2 + 2}{2} \right)[/tex]
[tex]D(x,y) = (4,0)[/tex]
The length of the median AD is calculated by the Pythagorean Theorem:
[tex]AD = \sqrt{(x_{D}-x_{A})^{2}+ (y_{D}-y_{A})^{2}}[/tex]
[tex]AD = \sqrt{(4-4)^{2}+[0-(-6)]^{2}}[/tex]
[tex]AD = 6[/tex]
The median AD from A to BC has a length of 6.
b) In order to compare both areas, all lengths must be found with the help of Pythagorean Theorem:
[tex]AB = \sqrt{(x_{B}-x_{A})^{2}+ (y_{B}-y_{A})^{2}}[/tex]
[tex]AB = \sqrt{(3-4)^{2}+[-2-(-6)]^{2}}[/tex]
[tex]AB \approx 4.123[/tex]
[tex]AC = \sqrt{(x_{C}-x_{A})^{2}+ (y_{C}-y_{A})^{2}}[/tex]
[tex]AC = \sqrt{(5-4)^{2}+[2-(-6)]^{2}}[/tex]
[tex]AC \approx 4.123[/tex]
[tex]BC = \sqrt{(x_{C}-x_{B})^{2}+ (y_{C}-y_{B})^{2}}[/tex]
[tex]BC = \sqrt{(5-3)^{2}+[2-(-2)]^{2}}[/tex]
[tex]BC \approx 4.472[/tex]
[tex]BD = CD = \frac{1}{2}\cdot BC[/tex] (by the definition of median)
[tex]BD = CD = \frac{1}{2} \cdot (4.472)[/tex]
[tex]BD = CD = 2.236[/tex]
[tex]AD = 6[/tex]
The area of any triangle can be calculated in terms of their side length. Now, equations to determine the areas of triangles ABD and ACD are described below:
[tex]A_{ABD} = \sqrt{s_{ABD}\cdot (s_{ABD}-AB)\cdot (s_{ABD}-BD)\cdot (s_{ABD}-AD)}[/tex], where [tex]s_{ABD} = \frac{AB+BD+AD}{2}[/tex]
[tex]A_{ACD} = \sqrt{s_{ACD}\cdot (s_{ACD}-AC)\cdot (s_{ACD}-CD)\cdot (s_{ACD}-AD)}[/tex], where [tex]s_{ACD} = \frac{AC+CD+AD}{2}[/tex]
Finally,
[tex]s_{ABD} = \frac{4.123+2.236+6}{2}[/tex]
[tex]s_{ABD} = 6.180[/tex]
[tex]A_{ABD} = \sqrt{(6.180)\cdot (6.180-4.123)\cdot (6.180-2.236)\cdot (6.180-6)}[/tex]
[tex]A_{ABD} \approx 3.004[/tex]
[tex]s_{ACD} = \frac{4.123+2.236+6}{2}[/tex]
[tex]s_{ACD} = 6.180[/tex]
[tex]A_{ACD} = \sqrt{(6.180)\cdot (6.180-4.123)\cdot (6.180-2.236)\cdot (6.180-6)}[/tex]
[tex]A_{ACD} \approx 3.004[/tex]
Therefore, areas of triangles ABD and ACD are the same.
∠MNQ and ∠PNR are vertical angles. What is the value of x?
Answer:
Step-by-step explanation:
I don’t know the answer
The value of x such that ∠MNQ and ∠PNR are vertical angles is 40
How to determine the value of x?The given parameters are:
MNQ = 3x - 6
PNR = 114
Vertical angles are equal.
So, we have:
3x - 6 = 114
Add 6 to both sides
3x = 120
Divide both sides by 3
x = 40
Hence, the value of x is 40
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Pls help me!!!!! I'm dead!!!!! I have like 40 of these things. Pls ;)
Answer:
4 and 5 are coefficients the rest are terms
Step-by-step explanation:
coefficients are the numbers not the letters
Answer:
Coefficient: 4, 5Term: 4p, 5b, 8cStep-by-step explanation:
The terms are the elements of the sum:
5b, 8c, 4p
The coefficients are the constant multipliers:
5, 8, 4
___
In your list of items to "drag and drop", you have ...
Coefficient: 4, 5
Term: 4p, 5b, 8c
Let $\overline{XY}$ be a tangent to a circle, and let $\overline{XBA}$ be a secant of the circle, as shown below. If $AX = 15$ and $XY = 9$, then what is $AB$?
Answer:
AB=5.4 units
Step-by-step explanation:
We using the theorem of intersecting tangent and secant to solve this.
By this theorem:
[tex]XY^2=XB \times AX\\9^2=15(15-XB)\\81=225-15XB\\15XB=144\\XB=9.6\\$Therefore:\\AB=AX-XB\\AB=15-9.6\\AB=5.4$ units[/tex]
Answer:
Its 9.6, the other guy got it wrong, he already got it but accidentally added a step. Its 9.6 :)
Step-by-step explanation:
trust me :).
PLZZZ HELP MEEE!!!!!!!!!!
Answer:
Step-by-step explanation:
Graph shown in the attachment,
- Since every value of x corresponds to a distinct value of y, so the graph represents a function.
- Every input value of x of the table has a output value of y, therefore, it's a function.
- In the set of ordered pairs (5, 8) and (5, 2), input value x = 5 has two output values for y,
y = 8 and y = 2
Therefore, it's not a function and (5, 8) should be changed to make the relation a function.
Which graph matches the equation y+3=2(x+3)?
Answer:
The leftmost graph [with the points (-3,-3) and (0,3)]
Step-by-step explanation:
y+3=2(x+3)
y+3=2x+6
y=2x+3
The y-intercept is 3, meaning that the line passes through the point (0,3), and it's slope is 2, so it travels 2 units up and 1 unit over. Thus the correct graph is the top left graph, with the two points (-3,-3) and (0,3).
The graph is considered as the creation of a diagram that depicts a relationship connecting two or more items, and further discussion can be defined as follows:
Given:
[tex]\bold{y+3=2(x+3)}[/tex]
To find:
graph=?
Solution:
[tex]\bold{y+3=2(x+3)}[/tex]
Solving the given equation:
[tex]\to \bold{y+3=2(x+3)}\\\\\to \bold{y+3=2x+6}\\\\\to \bold{y=2x+6-3}\\\\\to \bold{y=2x+3}\\\\[/tex]
In this, the y-intercept is 3, indicating that the line crosses through the point (0,3), and the slope is 2, showing that it moves 2 units up and 1 unit over. And as a result, the proper graph is the upper left graph, with two points [tex]\bold{(-3,-3)\ and\ (0,3)}[/tex].Please find the graph in the attached file.
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How much is (2.5-3 minutes)
Answer:
150 - 180 seconds
Step-by-step explanation:
Let change minutes to seconds
1 minute = 60 seconds
2.5 minutes * 60 =150 seconds
3 minutes * 60 = 180 seconds
150 - 180 seconds
Vicente has a prism- like water tank whose base area is 1.2 square meters. He bought 6 goldfish at the store and the store owner told him to make sure their density in the tank isn’t more than 4 fish per cubic meter. What is the lowest possible height so the fish aren’t too crowded
Answer: 1.25 m
Step-by-step explanation:
Area of base = 1.2 m²
Number of gold fish = 6
Density of the tank should be = 4 fish/m³
Height of the tank= ?
4 fish = 1 m³
6 fish = 6/4 = 1.5 m³
Volume required for 6 fish is 1.5 m³
V = area of base x height (h)
1.5 = 1.2 x h
h = 1.25 m
Hence, height of the tank is equal to 1.25 m.
What is the common ratio Between successive terms in the sequence? 1.5,1.2,0.96,0.768
Answer:
0.8
Step-by-step explanation:
0.768/0.96= 0.8
0.96/1.2 =0.8
Dave bought jeans at a store. • The jeans had an original price of $45.50 • The jeans were discounted 30% from the original price. • An 8% sales tax was added to the discounted price. What amount did Dave pay for the jeans?
Answer:$35.49
Step-by-step explanation:
1. Get sales tax from the original price
8/100*45.50=$3.64
2. Get the price after the discount which is 70% of the original price
45.50*70/100 = 31.85
3. Add the sales tax to the new price to get the amount paid
31.85+3.64= $35.49
This screen is 6 inches by 8 inches. What is the screen size?
Answer:
The area of the screen is 48 square inches
Step-by-step explanation:
6x8=48
Answer:
The real answer is 10!
Step-by-step explanation:
I just did the question!
what is 1/3 of 48 in numbers
Answer:
16
Step-by-step explanation:
Multiply it by 1/3 and it equals 16
Answer:
16
Step-by-step explanation:
48/3=16
Make K the subject of the formula
[tex]t = \frac{mu {}^{2} }{k} - 5mg[/tex]
Answer:
Step-by-step explanation:
[tex]t = \frac{mu^{2} }{k} -5mg\\kt = mu^{2} -5mg\\k = \frac{mu^{2} -5mg}{t}[/tex]
To make k subject of the fomula :
Step 1 : cross multiply
Step 2 : Divide both side of the equation to isolate k
The solution of the expression for the value of k will be k = (mu² - 5mgk)/t.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given expression is t = (mu²)/k - 5mg. The value of the expression for the value of k will be,
The value of k will be written as,
t = (mu²)/k - 5mg
k = (mu² - 5mgk)/t
Therefore, the solution of the expression for the value of k will be k = (mu² - 5mgk)/t.
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Solve the problem by entering and solving equation.
A rectangular picture frame has a perimeter of 56 inches. The height of the frame is 16 inches. What is the
width of the frame?
The solution is
+W)=
The width of the frame is
inches.
Answer:
12 inches
Step-by-step explanation
The perimeter of a rectangle is the sum of each of the sides. So, it would be Perimeter= width+width+height+height. Let's make x as the width as the variable. We already know the value of the perimeter and the height. We can then substitute these values in the above equation.
So, that would be 56=x + x +16 +16
Then we would solve for x. First combine like terms.
56=2x+32
Then, subtract 32 from each side.
24=2x
Finally, divide by 2 on both sides to get the answer.
x=12
Answer:
12 inches
Step-by-step explanation:
none none none none none none none
What is the solution to this system of equations
Sorry, Please rewrite it again.
A geometric sequence is represented by a Subscript n Baseline = a Subscript 1 Baseline r Superscript n minus 1. What is the fifth term of a geometric sequence where a Subscript 1 Baseline = 4,096 and the common ratio is Negative one-fourth?
Answer:
16Step-by-step explanation:
Given the nth term of a geometric sequence represented as [tex]Tn = a_1r^{n-1}[/tex]
[tex]a_1[/tex] = first term of the sequence
n = number of terms
r = common ratio
Given [tex]a_1 = 4,096,\ r = -\frac{1}{4} , n = 5[/tex](fifth term of the sequence)
[tex]T_5 = 4,096(-\frac{1}{4} )^{5-1}\\ T_5 = 4,096(-\frac{1}{4} )^{4}\\T_5 = 4,096(\frac{1}{256} )\\T_5 = 16[/tex]
The fifth term of the geometric sequence is 16
Answer:
this is the answer for edge 2020-2021
Step-by-step explanation:
sum- -204.8
Student Friendly Bank pays a simple interest rate of 2.5% per year. Neighborhood Bank pays a compound interest rate of 2.1% per year, compounded monthly.
The question is incomplete:
Student Friendly Bank pays a simple interest rate of 2.5% per year. Neighborhood Bank pays a compound interest rate of 2.1% per year, compounded monthly.
Which bank will provide the largest balance if you plan to invest $10,000 for 10 years? For 20 years?
Answer:
-The bank that provides the largest balance if you plan to invest $10,000 for 10 years is Student Friendly Bank.
-The bank that provides the largest balance if you plan to invest $10,000 for 20 years is Neighborhood Bank.
Step-by-step explanation:
First, you have to calculate the balance if you invest the money in Student Friendly Bank. To do it, you have to use the simple interest formula to calculate the future value:
FV=PV(1+rt)
FV= future value
PV= present value
r= rate
t=time
-10 years:
FV= 10,000(1+(0.025*10))
FV= 10,000(1+0.25)
FV=10,000(1.25)
FV=12,500
-20 years:
FV= 10,000(1+(0.025*20))
FV= 10,000(1+0.5)
FV=10,000(1.5)
FV=15,000
Second, you have to calculate the balance if you invest the money in Student Neighborhood Bank. To do it, you have to use the compound interest formula to calculate the future value:
FV=PV(1+(r/m))^mt
FV= future value
PV= present value
r= rate
t=time
m=number compounding periods per year
-10 years:
FV=10,000*(1+(0.021/12))^12*10
FV=10,000*(1+0.00175)^120
FV=10,000*(1.00175)^120
FV=12,334.5
-20 years:
FV=10,000*(1+(0.021/12))^12*20
FV=10,000*(1+0.00175)^240
FV=10,000*(1.00175)^240
FV=15,214
According to this, the bank that provides the largest balance if you plan to invest $10,000 for 10 years is Student Friendly Bank because it will provide $12,500 and Neighborhood Bank will provide $12,334.5.
The bank that provides the largest balance if you plan to invest $10,000 for 20 years is Neighborhood Bank because it will provide $15,214 and Student Friendly Bank will provide $15,000.
help plzzzz asap i need the answer right now
The distance it takes a truck to stop can be modeled by the function Image description d = stopping distance in feet v = initial velocity in miles per hour f = a constant related to friction When the truck's initial velocity on dry pavement is 40 mph, its stopping distance is 138 ft. Determine the value of f, rounded to the nearest hundredth.
Answer: 0.39
Step-by-step explanation:
We are required to determine the the value of f, rounded to the nearest hundredth
The value of f, rounded to the nearest hundredth is 0.39
Given function:
[tex]d(v) = \frac{2.15 {v}^{2} }{64.4f} [/tex]
Where,
d = stopping distance in feet
v = initial velocity in miles per hour
f = a constant related to friction
When
v = 40 mph
d = 138 ft
f = ?
[tex]d(v) = \frac{2.15 {v}^{2} }{64.4f} [/tex]
[tex]138= \frac{2.15 {(40)}^{2} }{64.4f} [/tex]
138(64.4f) = 2.15(1600)
8,887.2f = 3440
f = 3440 / 8,887.2
f = 0.3870735439733
Approximately to the nearest hundredth f = 0.39
Therefore, the value of f, rounded to the nearest hundredth is 0.39
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Can someone please explain the math on this one to me? Thanks!
Assume that is takes an average of 3 man-hours to stack 1 ton of a particular item. In order to stack 36 tons in 6 hours, the number of people required is _____
Answer:
18 men = 36 tons in 6 hours
Step-by-step explanation:
3 men = 1 ton in 1 hour
6 men = 2 ton in 1 hour
9 men = 3 tons in 1 hour
with this you find a pattern
3 men = 2 tons in 2 hours
3 men = 3 tons in 3 hours
3 men = 6 tons in 6 hours
6 men = 12 tons in 6 hours
9 men = 18 tons in 6 hours
12 men = 24 tons in 6 hours
15 men = 30 tons in 6 hours
18 men = 36 tons in 6 hours
(This is how i worked it out)
Answer:
18 people
Step-by-step explanation:
Method A:
3 man-hours to stack 1 ton
36 tons is 36 times 1 ton, so it takes 36 times as long to stack.
36 * 3 man-hours to stack 36 * 1 ton, or
108 man-hours to stack 36 tons
To do the job in 6 hours instead of 108, you need to do 108/6 = 18 times as much work per hour, so you need 18 times as many people.
18 * 1 person = 18 people
Answer: 18 people
Method B:
1 person works 3 hours and stacks 1 ton. That same person works another 3 hours and stacks another ton. In a total of 6 hours, 1 person stacked 2 tons. Since you need 36 tons stacked in the same 6 hours, and 36 = 18 * 2, you need 18 times the number of people, so you need 18 people.
can someone do this ???
I need help urgently