Thomas observed that his friend blinked an average of three times every 15 seconds.
How many times should his friend blink in 65 second?
Answer:
13 blinksStep-by-step explanation:
Step one:
given
number of blinks= 3
time taken to blink=15 seconds
the rate of blink is given as
rate= number of blinks/time taken
rate= 3/15
rate= 1/5 blinks per second, 0.2 blinks per second
Step two:
hence for a 65 second period, the number of blinks is
rate=number of blink/time
0.2=number of blink/9=65
cross multiply we have
number of blink=0.2*65
number of blink=13 blinks
How can you use the properties of operations to evaluate
this expression?
18 + 4(28)
Answer:
Well on of the properties states that unless there are parenthesis, you multiply and divide first then you add and subtract. So, first we multiply 28*4 and that leaves use with 112, now if there is no more multiplication, division, or parentheses, and there's not. We can continue all we do is add 18+112 and we get our answer of 130.
Answer: Use the distributive property and expand 28, then distribute the 4 to 20 and the 4 to 8. Then you have 18 + 80 + 32. Use commutative property to reverse the order of 32 and 80 so that 18 and 32 are friendly numbers to add.
Help me plzzzzz zzzzzz
Answer:
B.
Step-by-step explanation:
Plssss plsss help!! I can Venmo if that’s how u can help! Thank you!!
Answer:
And for number 10 the answer is (b)
I hope this helps, Happy learning!!!
Explain what is occurring in each chunk of the graph
Answer:
Please check the explanation.
Step-by-step explanation:
As the given graph includes distance 'd' at the y-axis and time 't' at the x-axis.
so from the distance-time graph, it is clear that the graph includes 5 chunks.
The first chunk of the graph indicates that the object has started traveling. And the distance 'd' is being covered in time 't', as the slope is upward, hence the speed of the object is increasing.
Please note that speed is basically the distance covered per unit time.The second chunk of the graph indicates the no distance is being covered. It means the object is at rest.
The third chunk of the graph indicates that the distance 'd' is being covered in time 't', as the slope is again upward, hence the speed of the object is increasing and the object has started traveling.
The fourth chunk of the graph indicates that the slope is downward, and the object has started traveling to get back to the destination, and eventually, the object has reached the starting point.
You decide to join a tennis class. The initial entrance fee is
$100, and a $10 fee every month you want to take the class.
How much will it cost for five months?
Given :
Initial entrance fee of tennis class, E = $100 .
Fee of every month, F = $10 .
To Find :
How much will it cost for five months.
Solution :
Let, number of months are n and cost of class is y.
So, linear equation is given by :
y = 10n + 100 ...1)
To know the cost of 5 month, putting value of n = 5 in equation 1) we get :
y = ( 10×5) + 100
y = 50 + 100
y = $150
Therefore, the cost of five month fee in tennis class is $150.
Hence, this is the required solution.
17. Hazel invests $1800 for 7 years at a rate of 1.5% per year compound interest. Calculate how much
interest she will receive after the 7 years. Give your answer correct to the nearest dollar.
Answer:
1,998$
Step-by-step explanation:
Plug in your numbers in calc to this formula.
Plz plz plz I need 546463+54543 times 64 it’s due in 4 min
Woah! Those are some big numbers! Anyways heres my answer: I used the old school way of fuigreing this out but using the pencil and paper I fuigred out 546463+54543 is equal to 601006 and if you were to multiply this by 64 (it took a LONG time for me and quite a few mess ups) its 38464384. Though I gave you the answer I'm just wondering if you could use a calculator because it would be a whole lot easier if you were able to do so.
⚠️⚠️What is the output value, if the input value is 30?⚠️⚠️
THIS IS MY LAST ONE HELP
Answer:
15
Step-by-step explanation:
15 is half of 30, the output values are the input values divided by 2 :)
F(x)=-∣x∣2-3
Shift this equation 1 unit to the right.
Will give brainliest to best answer! TYSM!<3
Answer:
[tex]f^\prime(x)=-2|x-1|-3[/tex]
Step-by-step explanation:
Write the equation for f(x)=IxI but vertically stretch it by a factor of 2, flip it over the x axis, shift it down 3 units, shift it 1 unit to the right
We have the (parent absolute value) function:
[tex]f(x)=|x|[/tex]
And we want to write a new function which represents the previous function: 1) Vertically stretched by a factor of 2, 2) flipped over the x-axis, 3) shifted down 3 units, and 4) shifted 1 unit to the right.
1)
To vertically stretch/compress a function, we multiply the function by a constant a.
If a is greater than 1, it is a vertical stretch. If a is less than 1 (and greater than 0), it is a vertical compression.We want to vertically stretch our function by 2. So, we will multiply our function by 2. Therefore:
[tex]f^\prime(x)=2|x|[/tex]
2)
We want to flip the function over the x-axis.
To flip a function over either axis:
Multiply by negative 1 to flip the function over the x-axis.Substitute x for -x to flip the function over the y-axis.Since we want to flip our function over the x-axis, we will multiply it by -1. So:
[tex]f^\prime(x)=-2|x|[/tex]
3)
We want to shift our function down by 3 units.
To shift a function vertically, we simply add the vertical shift to our function.
Since we are shifting downwards by 3 units, we will add -3 to our function. So:
[tex]f^\prime(x)=-2|x|-3[/tex]
4)
Finally, we want to shift our function 1 unit to the right.
To shift a function horizontally, we replace the x with (x-n), where n is the horizontal shift.
Since we are shifting our function to the right, n=1. Therefore, we will replace x with (x-1). So, our function becomes:
[tex]f^\prime(x)=-2|x-1|-3[/tex]
And we have our final function.
Note: In general, try doing the vertical/horizontal stretches first, x/y-axis reflections second, and then vertical/horizontal shifts last to avoid mistakes.
Write an equation in slope-intercept form of the line that passes through the points (4,1) and (8,2)
Answer:
y=1/4x
Step-by-step explanation: in image below
Find two integers whose sum is 19 and product is 90
Answer:
Step-by-step explanation:
The two integers are 10 and 9
10 + 9 = 19
10 x 9 = 90
The two numbers are 9 and 10.
What are integers?A number without a decimal or fractional element is known as an integer, which can be both positive and negative, including zero
Let the two integers be x and y.
Given that, the sum of the integers is 19, therefore,
x + y = 19
x = 19 - y
Given that, the product of the integer is 90:
xy = 90
(19-y)y = 90
19y - y² = 90
y² -19y + 90 =0
y² -10y - 9y + 90 = 0
y(y - 10) -9(y - 10) = 0
(y -9)(y - 10) = 0
y = 9 and y = 10
Hence, the two numbers are 9 and 10.
Learn more about integers:
https://brainly.com/question/15276410
#SPJ2
3.3x10^9+2.6x10^9+7.7x10^8
HELP ASAP OTS DUE IN 5 MINUTES!!!!
Find the slope of the line.
0-5
0 -1
O 1
None of the above
Answer:
0 -1
Step-by-step explanation:
because the line is going down which is negative
What is 78.5 rounded to the nearest hundredth
Answer:
There is no digit in the hundredths place, making this indeditable.
Answer:
it is already rounded to the nearest hundredth
Step-by-step explanation:
the number in the hundredths place would be zero, therefore the rounded number would be as it is (78.5)
d+7 divided by −3=4.
Answer:
- 19
Step-by-step explanation:
Step 1:
d + 7 ÷ - 3 = 4 Equation
Step 2:
d + 7 = - 12 Multiply
Step 3:
d = - 12 - 7 Subtract
Answer:
d = - 19
Hope This Helps :)
hi can anyone please answer this?
Answer:
7 hours
Step-by-step explanation:
As you can see it costs 22.75 dollars for 3 and a half hours, which means that 45.50 dollars will allow you to park for 7 hours.
Gloria pays her insurance three times each year. The first payment is 50% of the annual
premium, and each of the next two payments is 25% of the annual premium. If the annual premium is
$1024, how much is each payment?
Answer:
First payment (50%) would be 512$
The next two payments would be 32$ each
Explanation:
.5(1024)= 512
.25(512)=128
.25(128)= 32
Question 1 of 10
Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
2x + 4y = 14
X= 3
O A. (3,5)
B. (2,3)
C. (3,12)
PREVIOUS
Type here to search
o
Answer:
The Answer is (3,2) I took the test on A.P.E.X.
a 8th grade math question, was ignored 3 times already. please answer!
Answer:
1 and 2
Step-by-step explanation:
5x +9–3(x-1)=(3x –13)+(4x -30)
Help please
Answer:
x = 11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
5x + 9 - 3(x - 1) = (3x - 13) + (4x - 30)
Step 2: Solve for x
Distribute 3: 5x + 9 - 3x + 3 = 3x - 13 + 4x - 30Combine like terms: 2x + 12 = 7x - 43Subtract 2x on both sides: 12 = 5x - 43Add 43 on both sides: 55 = 5xDivide 5 on both sides: 11 = xRewrite: x = 11Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 5(11) + 9 - 3(11 - 1) = (3(11) - 13) + (4(11) - 30)Multiply: 55 + 9 - 3(11 - 1) = (33 - 13) + (44 - 30)Subtract: 55 + 9 - 3(10) = 20 + 14Multiply: 55 + 9 - 30 = 20 + 14Add: 64 - 30 = 34Subtract: 34 = 34Here we see that 34 does indeed equal 34.
∴ x = 11 is a solution of the equation.
Answer:
x=11
Step-by-step explanation:
[remember: (-)(-) is (+) , (-)(+) is (-) , (+)(+) is (+)]
5x + 9 – 3(x-1) = (3x –13) + (4x -30)
5x + 9 -3x + 3 = 3x -13 + 4x -30
5x -3x + 9 + 3 = 3x + 4x -13 -30
2x + 12 = 7x - 43
2x - 7x = -43 - 12
-5x = -55
x = -55/-5
x = 11
hope you understood!!
does it matter if its -√24 or √-24
Answer:
Yes it really does, you CAN NOT FIND THE SQUARE ROOT OF A NEGATIVE.
Step-by-step explanation:
Sorry if I came off as aggressive, I just wanted to get the point across.
4x + 5y = 30
5x + 3y = 31
Answer:
y=2
x=5
trust me its by calculator
Answer:
x=5
y=2 true......
Step-by-step explanation:
.............
If you are making a scale drawing of a giraffe that is 6m tall, and the height of the giraffe in your drawing is 3cm, what is the scale of the drawing? Thank you and please explain how you obtained your answer.
Answer:
The scale would be 200
Step-by-step explanation:
If your giraffe is 3 cm and the scale drawing of the giraffe is 6m, in one meter, there are 100 cm, and 6/2=3 you multiply 2 by the 100 cm in the meter which gives you 200. You could also say 6m divided by 3cm which would also give you 200 or 600/300=200.
A recipe calls for 1 1/2 cups of mayonnaise and 3/8 cups of pecans. How much mayonnaise should be used if 1 cup of pecans is used?
Answer:
4 cups of mayonnaise.
Step-by-step explanation:
The ratio of the amount of pecans comparing reality and the recipe is:
1 : 3/8
= 1/(3/8)
= 8/3
Hence, to find the amount of mayonnaise that should be added:
8/3 * 3/2
= 8/2
= 4 cups
Hope this helped!
2x+3y = 17
2y + z = 1
5x +10z = 25
Find x
Answer:
x = 7
Step-by-step explanation:
Given the equations
2x + 3y = 17 → (1)
2y + z = 1 → (2)
5x + 10z = 25 → (3)
Rearrange (2) expressing z in terms of y
z = 1 - 2y
Substitute z = 1 - 2y into (3)
5x + 10(1 - 2y) = 25
5x + 10 - 20y = 25 ( subtract 10 from both sides )
5x - 20y = 15 → (4)
Multiply (1) by 20 and (4) by 3, then add to eliminate the y- term
40x + 60y = 340 → (5)
15x - 60y = 45 → (6)
Add (5) and (6) term by term to eliminate y, that is
55x = 385 ( divide both sides by 55 )
x = 7
Answer:
[tex]x = 7[/tex]
Step-by-step explanation:
From the equation [tex]2y + z = 1[/tex] , we can separate [tex]z[/tex] so that [tex]z = 1-2y[/tex].
The equation [tex]5x+10z = 25[/tex] can then be turned into:
[tex]5x+10(1-2y) = 25[/tex]
[tex]5x+10-20y = 25[/tex]
[tex]5x -20y = 15[/tex]
[tex]x-4y = 3[/tex] (divide by [tex]5[/tex] on both sides)
We can now use elimination to solve for one of the variable:
[tex]2(x-4y) = 2\times3[/tex] (times 2 to get [tex]2x[/tex] for elimination)
[tex]2x-8y=6[/tex]
[tex]2x+3y-(2x-8y) = 17-6[/tex]
[tex]11y = 11[/tex]
[tex]y = 1[/tex]
Now, we can use substitution to solve for [tex]x[/tex]:
[tex]2x+3y = 17[/tex]
[tex]2x+3 = 17[/tex]
[tex]x = 7[/tex]
Hope this helps :)
Hey hope someone can figure this out hopefully it's not that hard.
A chocolate box has the shape of a prism with a base that is a
rhombus. Each side length of the rhombus is 3.6 cm.
The angles between adjacent sides of the base are 60° and 120°.
The prism is 10.8 cm long.
a) Draw a net for this box.
b) How is your net different from the cardboard net from
which the box is made? Explain.
Part (a)
See the diagram below for the net for this box. We have two rhombuses that are the two bases of the rhombic prism. The six rectangles form the lateral sides.
In geometry, a net is effectively the outer surface of a 3D object, but it has been laid flat on a plane. Think of unwrapping a present without throwing any pieces away. The net would be the wrapping laid out flat. As another example, a net of a cardboard box would be laying the box flat. So you're unfolding the box. This is mentioned in part (b).
====================================================
Part (b)
The main difference from this net compared to a net for a cardboard box is that everything is a rectangle for a cardboard box. This is because a cardboard box folds up into a rectangular prism.
So in the diagram below, you'll replace each rhombus with a rectangle. You'll make all four angles 90 degrees.
solve an equation x/17= -4
Answer:
-68
Step-by-step explanation:
X/17=-4
X=-68
So the answer is -68
In mike's state, the weekly unemployment compensation is 45% of the 26 weekly for the two highest salaried quarters. A quarter is three consecutive months. For july,august, and september, mike earned a total of $22,500. In october, november, and december, he earned a total of $22,900. Determine Mike's weekly unemployment compensation .
Answer:
$785.77
Step-by-step explanation:
Assuming that Mike earned the highest compensation between July and December (third and fourth quarters), his total compensation for the six month period = $22,500 + $22,900 = $45,400
his average weekly salary = $45,400 / 26 weeks = $1,746.15
Mike's unemployment compensation = $1,746.15 x 45% = $785.77
Forty of the staff of 85 teachers at a local intermediate school are certified in Cardio-Pulmonary Resuscitation (CPR). In 180 days of school, what would be the expected mean, variance and standard deviation?
Answer and Step-by-step explanation:
The computation is shown below;
Here we use the binomial distribution
p = 40 ÷ 85 = 0.47
q = 1 -0.47 = 0.53
n = 180
Now
mean [tex]\mu[/tex]
= np
= 180 × 0.47
= 84.6
The Variance is
= npq
= 180 × 0.47 × 0.53
= 44.84
And, Standard deviation
= √npq
= √44.84
= 6.69
We simply applied the above formula so that the correct value could come
And, the same is to be considered