Answer:
x = 15
Step-by-step explanation:
[tex]12.45=4.95+0.5\timesx[/tex]×x
Solve the equation
[tex]12.45=4.95+0.5x[/tex]
Rearrange variables to the left side of the equation
[tex]-0.5x=4.95-12.45[/tex]
Calculate the sum or difference
[tex]-0.5x=-7.5[/tex]
Divide both sides of the equation by the coefficient of variable
[tex]x=\frac{-7.5}{-0.5}[/tex]
Determine the sign for multiplication or division
[tex]x=\frac{7.5}{0.5}[/tex]
Multiply both the numerator and denominator with the same integer
[tex]x=\frac{75}{5}[/tex]
Cross out the common factor
[tex]x=15[/tex]
I hope this helps you
:)
What is the first term of the arithmetic sequence shown?
Blank, blank, blank, 13, 17, 21, 25.
Answer:
1,5,9,13,17,...
Step-by-step explanation:
Leanne works at a green house. She needs too plant a totals of 32 bulbs. Two types of bulbs are available. She is asked to plant three times as many crocus bulb as tulip bulbs. How many of each does she need to plant
Answer:
You want to start by making 2 equations, first to show the sum and another to show the relationship between the two.
x + y = 32
3y = x
Now you want to substitute what you know:
y + (3y) = 32
*now solve
4y = 32
y = 32/4
y = 8
And now you want to plug in what you know into the first equation to solve for x
x + y = 32
x + 8 = 32
x = 32 - 8
x = 24
Now you know:
x = 24
y = 8
There are 24 crocus bulbs and 8 tulip bulbs
Step-by-step explanation:
IM SAMRT
Answer:
crocus bulbs-24
Tulip bulbs-8
Step-by-step explanation:
Total is 32 bulbs so I found a number I can multiply by 3 which is 8 and it gave me 24 so if I add 24+8= I will get 32.
solve the system of equations -2x - y = 6 8x + 3y = -28
(x,y)=(−26,68). Explanation: I'll solve this by first eliminating the y terms in both equations: E1:8x+3y=−4⇒16x+6y=−18
A ball is dropped from a height of 64 feet. Its height, in feet, can be modeled by the function h(t) = -167 + 64, where t is the time in seconds since it is dropped.
(a) Find how long it takes the ball to reach the ground.
(b) Find how long it takes the ball to fall 36 feet. (Hint: first find its
height.)
Answer:
Step-by-step explanation:
Known facts:
the ball dropped from a height of 64 feetfunction [tex]h(t) = -16t^{2} + 64[/tex]First question:
the ball hits the ground when h(t) = 0, thus we get the equation[tex]-16t^{2} +64 = 0\\16t^{2} = 64\\t^{2} =4\\t = 2[/tex]
So the ball hits the ground in 2s
Second question
to find how long it takes the ball to fall 36 feet, we must set h(t) = 64 - 36 = 28[tex]-16t^{2} +64 = 28\\16t^{2} = 36\\t = \frac{6}{4} =1.5s[/tex]
So the ball hits the ground in 1.5s
Hope that helps!
The test scores of a geometry class are given below. 90, 75, 72, 88, 85 The teacher wants to find the variance for the class population. What is the value of the numerator of the calculation of the variance? Variance: sigma squared = StartFraction (x 1 minus mu) squared (x 2 minus mu) squared ellipsis (x N minus mu) squared Over N EndFraction -160 -6 16 258.
The value of the numerator of the calculation of the variance is 258, the correct option is D.
Given
The test scores of a geometry class are given below. 90, 75, 72, 88, 85.
What is a variance?Variance is the expected value of the squared variation of a random variable from its mean value, in probability and statistics.
The mean of the test scores of a geometry class is;
[tex]\rm Mean = \dfrac{90+75+72+88+85}{5}\\\\ Mean =\dfrac{ 410}{5}\\\\Mean =82[/tex]
The variance is given by;
[tex]\rm Variance =\dfrac{(90 - 82)^2 + (75 - 82)^2 + (72 - 82)^2 + (88 - 82)^2 + (85 - 82)^2}{5}\\\\Variance = \dfrac{8^2+7^2+(-10)^2+6^2+3^2}{5}\\\\Variance=\dfrac{64+49+100+36+9}{5}\\\\Variance = \dfrac{258}{5}[/tex]
Hence, the value of the numerator of the calculation of the variance is 258.
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Answer:
Step-by-step explanation:
d
Please I really need some help please please 30 points please
30 points
30 points
30 points
Please help
Please don’t answer if you don’t know how to or understand the question please
Two runners are racing against each other. Jeri graphs a linear equation for each runner that shows
the runner's distance from the starting line over time. The two equations form a system that has
infinitely many solutions. Describe the intersection point(s) of the lines and explain what the
solution means in this situation.
Answer:
If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations. the intersection points (-3,3) Since the system is infinite it means there is 1 lone on the graph-
Step-by-step explanation:
A cake shop offers circular cakes with diameters of 8 in., 12 in., and 15 in. Identify the area of each cake
rounded to the nearest tenth.
Answer: Your answer is B
Step-by-step explanation:
Option B) A₁ = 50.3in², A₂ = 113.1in², A₃ = 176.7in² is the correct answer.
CircleA circle is simply a closed 2-dimensional curved shape with no edges or corners.
Area of a circle is expressed as;
A = πr²
Where r is the radius of the circle and π is pi ( π = 3.14159 ).
For cake A;
Diameter d = 8inRadius r = d/2 = 8in/2 = 4inArea of A = ?From the previous expression of area of a circle
Area of A = πr²
Area of A = 3.14159 × (4in)²
Area of A = 3.14159 × 16in²
Area of A = 50.23in²
Hence, the area of the first cake is 50.23in².
For cake B;
Diameter d = 12inRadius r = d/2 = 12in/2 = 6inArea of B = ?From the previous expression of area of a circle
Area of B = πr²
Area of B = 3.14159 × (6in)²
Area of B = 3.14159 × 36in²
Area of B = 113.1in²
Hence, the area of the second cake is 113.1in².
For cake C;
Diameter d = 15inRadius r = d/2 = 15in/2 = 7.5inArea of C = ?From the previous expression of area of a circle
Area of C = πr²
Area of C = 3.14159 × (7.5in)²
Area of C = 3.14159 × 56.25in²
Area of C = 176.7in²
Hence, the area of the third cake is 176.7in².
Option B) A₁ = 50.3in², A₂ = 113.1in², A₃ = 176.7in² is the correct answer.
Hence;
Area of the first cake is 50.23in².
Area of the second cake is 113.1in².
Area of the third cake is 176.7in².
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I DONT UNDERSTAND HELP WITH ANYTHING YOU CAN
Answer:
I mean I can give you some of my advice on 7 but I'm not too great on the others, but I hope this will help:
Step-by-step explanation:
Okay so on 7 you first need to figure out the amount of people in each grade and then you need to look at the premade answers and try to split it up AND on the total part you need to put how many people all together. If I'm not mistaken, I'm pretty sure there are more right-handed people, then left-handed people on 7th graders.
The angles of a triangle are described as follows: angle a is the largest angle; its measure is twice the measure of angle b. The measure of angle c is 2 less than half the measure of angle b. Find the measure of the three angles in degrees
Answer: 24, 52, and 104 degrees
Step-by-step explanation:
Find the value of h(-66) for the function below h(-66)=-38x-141
A. -1.97
B. 2,508
C. -2,649
D. 2,367
Can someone please help me
Answer:
sqrt(241) or about 15.52 rounded
Step-by-step explanation:
a^2+b^2=c^2
4^2+15^2=c^2
16+225=c^2
241=c^2
sqrt(241)=c
Which statement is true?
A All rhombuses are similar.
® All rectangles are similar.
© All isosceles trapezoids are similar.
© All isosceles right triangles are similar.
Answer:
All rhombuses are similar.
You have recently purchased a new truck for $20,000, by arranging financing for the next five years. You are curious to know what your new truck will be worth when the loan is completely paid off. Assume that the value depreciates at a constant rate of 15%.
What is the initial value?
Answer:
the initial value would be 23,000
Step-by-step explanation:
because 20,000 + 15%
is 23,000
Need the answer for this
Trisha and Yoshi are at the start of
a trail. Trisha walks 500 feet
before Yoshi starts. Trisha walks
350 feet per minute, and Yoshi
walks 430 feet per minute.
Answer:
If youre asking how long it will take for Yoshi to catch up look below
Step-by-step explanation:
Yoshi walk 80 feet per minute faster than Trisha
If Trisha walks for 5 minutes she would have walked 2250 feet
If Yoshi also walks for 5 minutes he would have walked 2150 feet
Now this is already pretty close so lets check for 7 minutes
If Trisha walks 7 minutes she would have walked 2950 feet
if Yoshi walks 7 minutes he would have walked he would have walked 3010 feet
Now this is really close but now yoshi is ahead.. so lets go down to 6.85 feet
If Yoshi walks 6.85 minutes he would have walked 2945.5 feet
this is still a LITTLE to low so lets do 6.86
If yoshi walks 6.86 minutes he would have walked 2949.8
Rounding up he would have caught up by now
so it would take Yoshi 6.86 minutes to catch up
answer please 54 points
Answer:
1 hour
Step-by-step explanation:
Because if you swim for 1 hour each morning that adds up to 4 hours and if you swim two hours in the evening then it all adds up to 12
PLEASE HELP ME WITH THIS I WILL GIVE BRAINLIEST.
Answer:
1007
Step-by-step explanation:
The volume of the cylindrical storage tank is : π·40(squared)·60 = approximately 302000.
The volume of a rectangular prism is : 5 x 6 x 10 = 300
To catch all the leaking liquids, you need : 302000 : 300 = 1006.6666667 (round to 1007) rectangular prisms
Diameter=80ft
Radius=80/2=40ft=rHeight=60ft[tex]\\ \rm\Rrightarrow V=\pi r^2h[/tex]
[tex]\\ \rm\Rrightarrow V=3.14(40)^2(60)[/tex]
[tex]\\ \rm\Rrightarrow V=3.14(1600)(60)[/tex]
[tex]\\ \rm\Rrightarrow V=301440ft^3[/tex]
For prism
L=5B=6H=10[tex]\\ \rm\Rrightarrow V=LBH=5(6)(10)=300ft^3[/tex]
Total prisms:-
301440/300=1004.8=1005[/tex]Putt the fraction from grates to least value 1/2 5/6 3/4 1/3 1/6 1/4 2/3
Chet's watch is guaranteed for 90 days. If it
stops working six weeks after he bought it is
it still under warranty?
Answer:
I would say yes
Step-by-step explanation:
6*7 =42
Answer:
Yes.
Step-by-step explanation:
7 days in a week. So, 7x6= 42
So yes it is still under warranty.
HELP! I DONT UNDERSTAND , I NEED TO TURN IT IN BY TOMORROW MORNING
Help me please asap
Rectangle W XYZ is shown
W
Z
If WY = 5m + 11 and XZ = 9m - 7. what is the value of m? Enter the answer in the box in decimal form. Use"" for the decimal point.
m
Answer:
M= 4.5
Step-by-step explanation:
take 5m+11 = 9m - 7
add seven to each side to get
5m + 18 = 9m
then subtract 5m from each side
18= 4m
then divide by 4
18÷4= 4.5
All of the items in a bicycle shop are on sale for 30% off the regular price. Rene spends $74. 90 to buy a bicycle and a helmet (without taxes). If the regular price of the bicycle is $85, which equation can be used to find the regular price of the helmet, h? 0. 3 (74. 90 h) = 85 0. 3 (85 h) = 74. 90 0. 7 (74. 90 h) = 85 0. 7 (85 h) = 74. 90.
Percentage is a way to describe a part of a whole. The equation can be used to find the regular price of the helmet,h is 0.7(h+85)=74.90.
What is Percentage?A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
As we know that all of the items in the bicycle shop are on sale for 30% off, therefore, the cost of each item will be 70% of the real cost. Now, the total amount was spent is $74.90. Thus, if we represent the helmet by h, and bicycle by b, then
[tex]70\%Helmet + 70\%Bicycle = \$74.90\\\\0.70 h + 0.70B = 74.90[/tex]
Taking 0.7 as the common,
[tex]0.7(h+B)=74.90[/tex]
As we know that the regular price of the bicycle(B) is $85, therefore, the equation can be written as,
[tex]0.7(h+85)=74.90[/tex]
Hence, the equation can be used to find the regular price of the helmet,h is 0.7(h+85)=74.90.
Learn more about Percentage:
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Answer:
Percentage is a way to describe a part of a whole. The equation can be used to find the regular price of the helmet,h is 0.7(h+85)=74.90.
What is Percentage?
A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
As we know that all of the items in the bicycle shop are on sale for 30% off, therefore, the cost of each item will be 70% of the real cost. Now, the total amount was spent is $74.90. Thus, if we represent the helmet by h, and bicycle by b, then
Taking 0.7 as the common,
As we know that the regular price of the bicycle(B) is $85, therefore, the equation can be written as,
Hence, the equation can be used to find the regular price of the helmet, h is 0.7(h+85)=74.90.
The graphs of functions f and g are shown.
Function g is defined as g(x) = kſ (x). what is the value of k
The value of k is
Answer:
2
Step-by-step explanation:
Let's test the values at x=2.
when x=2, g(2)=2, but f(2)=1.
This means that g(x)=(2/1)f(x)=2f(x).
The value of k for the function will be equal to 2.
The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.
Given that the two graphs are there in the image for the functions g and f. Function g is defined as g(x) = kſ (x).
The value of k will be calculated as,
Let's test the values at x=2.
when x=2, g(2)=2, but f(2)=1.
The function can be written as,
g(x)=(2/1)f(x)
g(x) =2f(x).
Therefore, the k value will be 2.
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15 points do all thanks please do all
QUADRUPLE A NUMBER BY 4 DECREASED BY 6
Answer:
A
Step-by-step explanation:
4x-6
Dwayne buys a new smartphone for $719.76. He agrees to pay for it monthly, with 24 equal payments.
How much does he pay each month for the smartphone?
Answer:
$29.99
Step-by-step explanation:
24 equal payments represent 24 months (as it is paid monthly), therefore, you divide by 24 to get only 1 month of the payment
719.76/24
=29.99
PLEASE HELP!!!!!!!!!!
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go to this so i can help you
Multiply the following complex numbers:
(9-21)(7 +61)
A. 51 + 407
B. 51 - 401
C. 75 + 40/
D. 75 - 407
Reflect (5,-4) over the y-axis. Then translate the result to the right 2 units. What are the coordinates of the final point?
Answer:
(-3,-4)
Step-by-step explanation:
When reflecting across the y-axis, you will mirror the coordinates across the y-axis. This means (5,-4) will turn into (-5,-4) because mirroring it across the y-axis will only change the x coordinate. Then, to translate it to the right, you move to the right two times to give you (-3,-4). The y-coordinate will never change in this situation because you are only reflecting and moving left and right.
30 points! Mathematics
Answer:
Step-by-step explanation:
2) 3/4 x 3 = 9/4
3) A shows it as multiple of the unit fraction.
