Answer:
find below
Step-by-step explanation:
it would either be -1 1/3 or -3/4 since that is the reciprocal of -1 1/3
Oceanside bike rental shop charge 15 dollars plus 8 dollars an hours for renting a bike. Jason paid 79 dollars to rent a bike. How many hours did pay to have the bike checked checked out?
Answer:
8 hours
Step-by-step explanation:
Firstly, the cost for renting the bike needs to be subtracted from the total amount:
79 - 15 = 64
Now this can be divided by 8 to find the hours:
64 ÷ 8 = 8
So he paid for 8 hours.
The number p and −1.2 are additive inverses. Drag and drop −1.2 and p to their correct positions on the number line. Drag and drop the label “Sum” to the sum of −1.2 and p
Answer:
p=1.2
Step-by-step explanation:
Additive inverse of any number means a number which can be added to the original number to get
Two numbers are said to be additive inverse of each other if sum of both numbers is 0. For example if 5 is the given number then -5 will be it's additive inverse. So to find additive inverse, we basically change the sign of number.
Given number p is additive inverse off -1.2 so p must be 1.2.
Sum will obviously be 0.
So to graph them on number line, we make a point at -1.2, 1.2 and at 0 for their sum.
Answer:P=1.2
Step-by-step explanation:
If the number 38,469 is rounded to the nearest thousand, how many zeros does the rounded number have?
This rounded number has three zeros. The number 38,469 rounded to the nearest thousand is 38,000.
To find the number of zeros in 38,469 when rounded to the nearest thousand, we first need to round the number appropriately. We look at the hundreds place (the third digit from the right), which is '4'. Since 4 is less than 5, we do not round up.
Identify the digit in the hundreds place of 38,469 (which is '4').Since 4 is less than 5, do not round up.Change all the digits after the thousands place to zero.The rounded number is 38,000, which contains three zeros.In a certain year, brand A of heart-rate watch cost $39.99 and brand B cost $59.99. A nonprofit community health organization purchased 34 heart-rate watches for use at a wellness center. If the organization spent $1619.66 for the watches, how many of each type did they purchase?
Answer:
Brand A = 21 heart-rate watches.
Brand B = 13 heart-rate watches.
Step-by-step explanation:
Let A be the number of Brand A heart watches and B be the number of Brand B heart watches.
We have been given that a nonprofit community health organization purchased 34 heart-rate watches for use at a wellness center.
We can represent this information in an equation as:
[tex]A+B=34...(1)[/tex]
We have been given that in a certain year, brand A of heart-rate watch cost $39.99 and brand B cost $59.99 and the organization spent $1619.66 for the watches.
We can represent this information in an equation as:
[tex]39.99*A+59.99*B=1619.66...(2)[/tex]
We will use substitution method to solve our system of equations.
From equation (1) we will get,
[tex]A=34-B[/tex]
Substituting [tex]A=34-B[/tex] in equation(2) we will get,
[tex]39.99*(34-B)+59.99*B=1619.66[/tex]
[tex]1359.66-39.99*B+59.99*B=1619.66[/tex]
[tex]-39.99*B+59.99*B=1619.66-1359.66[/tex]
[tex]20*B=260[/tex]
[tex]B=\frac{260}{20}[/tex]
[tex]B=13[/tex]
Therefore, the organisation purchased 13 heart-rate watches of brand B.
Now let us substitute B=13 in equation (1).
[tex]A+13=34[/tex]
[tex]A+13-13=34-13[/tex]
[tex]A=21[/tex]
Therefore, the organisation purchased 21 heart-rate watches of brand A.
Point slope form of (2,4) and (3,1)
Answer:
y-4 = 3 (x-2)
Step-by-step explanation:
To find the slope of a line
slope = (y2-y1)/(x2-x1)
slope = (1-4)/(2-3)
= -3/-1
=3
Now we use the point slope form for a line
y-y1 = m(x-x1)
y-4 = 3 (x-2)
Answer:
y-4 = 3 (x-2)
y=-3x+10
A special paint requires a mixture of paints: A, B and C. The ratio is: 60% A, 25% B, and 15% C. If you want 20 gallons of the special color, how many gallons of paint A will you need?
You would need 12 gallons of paint A. You can find this answer by finding what 60% of 20 is, and do that by multiplying 20 • (0.6). This is what gives you 12. Following that, you’ll need 3 gallons of C, and 5 gallons of B.
What is the value of x in the equation 2x + 3y = 36, when y = 6?
8
9
27
36
THE ANSWER IS.......
Answer:
x=9
Step-by-step explanation:
2x+3y =36
We know y =6, so we can substitute this into the equation
2x+ 3(6) = 36
2x+18 = 36
Subtract 18 from each side
2x+18-18 = 36-18
2x =18
Divide each side by 2
2x/2 =18/2
x=9
I really like that you put the answer out there for other people. that's pretty cool! B) 9
What is the slope for (-3,14)(5,10)
Answer:
slope = -1/2
Step-by-step explanation:
The formula for slope is (y2-y1)/ (x2-x1)
m = (10-14)/(5--3)
= (-4)/(5+3)
= -4/8
= -1/2
Which of the following is a factor of 2[tex]x^{4}[/tex] + 22x[tex]x^{3}[/tex] + 60x[tex]x^{2}[/tex]?
[tex]x^{3}[/tex]
[tex]x^{4}[/tex]
x + 4
x + 5
[tex]2x^4+22x^3+60x^2=2x^2(x^2+11x+30)=2x^2(x^2+6x+5x+30)\\\\=2x^2[x(x+6)+5(x+6)]=2x^2(x+6)(x+5)\\\\Answer:\ x+5[/tex]
Answer:
(x+5) is the final answer.
Step-by-step explanation:
We have to find the factors of [tex]2x^4+22x^3+60x^2[/tex]
Then select correct choice or choices from the given options.
[tex]2x^4+22x^3+60x^2[/tex]
[tex]=2x^2(x^2+11x+30)[/tex]
[tex]=2x^2(x^2+6x+5x+30)[/tex]
[tex]=2x^2(x(x+6)+5(x+6))[/tex]
[tex]=2x^2((x+5)(x+6))[/tex]
[tex]=2x^2(x+5)(x+6)[/tex]
From above factors, we see that only (x+5) is correct.
Hence (x+5) is the final answer.
What is the slope of this line
What are the zeros of the polynomial function f(x)=x^3+2x^2-24x?
Immediately, we can factor an x out of each term to simplify the polynomial.
x(x^2 + 2x - 24)
In doing this, we know the first zero will be x = 0.
Using the AC method, we can find the next two zeros.
x(x - 4)(x + 6)
The zeros, or x-intercepts of the polynomial, are 0, 4, and -6.The zeros of the polynomial function f(x) = x^3 + 2x^2 -24x are x = -6, 0, and 4.
Explanation:The question requires finding the zeros of the polynomial function f(x) = x^3 + 2x^2 -24x. The zeros of this function can be found by setting the function equal to zero and solving for x. So, we have 0 = x^3 + 2x^2 - 24x. All terms have an 'x', so we can factor out 'x' to give: 0 = x (x^2 + 2x - 24). The quadratic formula (which is used for expressions of the form ax^2 + bx + c = 0) to solve x^2 + 2x - 24 = 0, we get x = -6 and x = 4. Therefore, the zeros of the function are x = -6, 0, and 4.
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The test grades of a science class are given.
78, 75, 70, 92, 69, 83, 98, 76, 75, 82, 91, 89
The grades are normally distributed with a mean of 81.5 and a standard deviation of 9.3.
What is the z-score of the highest grade in the test?
Round the answer to the nearest hundredth.
Answer:
1.77 to nearest hundredth
Step-by-step explanation:
Z-score = (score - mean) / standard deviation
98 is the highest score and its z-score is (98- 81.5) / 9.3
= 1.7742
Answer: 1.77
Step-by-step explanation:
Given : The test grades of a science class are given.
78, 75, 70, 92, 69, 83, 98, 76, 75, 82, 91, 89
The grades are normally distributed with a mean [tex]\mu= 81.5[/tex] and a standard deviation [tex]\sigma=9.3[/tex] .
let x be any random variable represents the test grades of a science class.
Formula for z-score:-
[tex]z=\dfrac{x-\mu}{\sigma}[/tex]
The highest score= 98
Then , the z-score of the highest grade in the test will be :-
[tex]z=\dfrac{98-81.5}{9.3}=1.77419354839\approx1.77[/tex]
Hence, the z-score of the highest grade in the test =1.77
What is the center of the circle given by the equation by the equation (x-3)2 + (y-9)2=16
Answer:
centre = (3, 9 )
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x - 3)² + (y - 9)² = 16 is in this form
with centre = (3, 9) and r = [tex]\sqrt{16}[/tex] = 4
Answer:
(3,9) -apex!!!!!!
Step-by-step explanation:
during a hoagie sale fundraiser a ski club sold 42 Italian hoagies and 53 roasted beef Hoagies what is the ratio of Italian hoagie sold to the total number of Hoagies sold
Answer:
42:53 would be the answer
Step-by-step explanation:
In a ski club fundraiser, the ratio of Italian hoagies sold to the total number of hoagies sold, when the numbers of Italian and roast beef hoagies are 42 and 53 respectively, is 42:95.
Explanation:The student is asking for the ratio of Italian hoagies sold to the total number of hoagies sold at a ski club fundraiser. To calculate this ratio, one must add the number of Italian hoagies to the number of roast beef hoagies to determine the total hoagies sold. In this case, 42 Italian hoagies were sold, and 53 roast beef hoagies were sold, yielding a total of 95 hoagies sold. Thus, the ratio of Italian hoagies sold to total hoagies sold is 42:95. In ratio terms, this expresses that for every 42 Italian hoagies sold, there were 95 total hoagies sold.
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(02.06) The table below shows that 1 day equals 24 hours. Notice that 12 hours is one-half of that. Use the table to help you determine how many days are equal to 42 hours. 1 day 24 hours 12 hours 12 hours (3 points) 1 and 1 over 4. days 1 and 1 over 2. days 1 and 3 over 4. days 2 days
Answer:
1 and 3/4 days are equal to 42 hours
Step-by-step explanation:
42 hours = (42 hours) (1 day / 24 hours)
42 hours = 42/24 days
Simplyfing the fraction: Dividing the numerator and denominator by 6:
42 hours = (42/6) / (24/6) days
42 hours = 7/4 days
42 hours = (4+3)/4 days
42 hours = (4/4+3/4) days
42 hours = 1 3/4 days
To determine how many days are equal to 42 hours, you divide 42 by 24 which results in 1.75. Therefore, 42 hours is equivalent to 1 and 3/4 days.
Explanation:In this mathematics problem, we are asked to convert 42 hours into a measurement of days. To begin with, we know that 1 day equals 24 hours. Therefore, to convert 42 hours into days we will divide 42 by 24.
The result of this division is 1.75. In terms of a day fraction, this value represents 1 and 3/4 days. As such, we can say that 42 hours is equivalent to 1 and 3/4 days.
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I'm really bad at math!
Here it goes: Find the sum
(5b-9) -3(8-26)
Help!!!!!
-Math Disaster
Given : (5b - 9) - 3(8 - 26)
⇒ (5b - 9) - 3(-18)
⇒ (5b - 9) + 54
⇒ 5b - 9 + 54
⇒ 5b + 45
Answer:
i think its 5b + 45
Step-by-step explanation:
im not 100% sure what your asking for but i just distributed the -3 to the 8 and -26 and got 5b -9 -24 + 78. then i combined the like terms to get 5b + 45.
hope this helps !!
What is $4.99 x 0.5lb + $6.99 x 0.25lb?
Answer:
$3.77
Step-by-step explanation:
$4.99 x 0.5lb + $6.99 x 0.25lb?
First we multiply
2.495+1.725
Then we add
3.77
We will spend $3.77
please help me with these im stuck
Answer:
Is it 15?
Step-by-step explanation:
Since it is asking for the sites, aren't you just supposed to count the dots...?
Answer:
15
Step-by-step explanation:
The question is asking how many sites are shown in this data set. So, on the side of the rectangle, it says "Number of Sites" & the dots represent the number of sites. So, there are 15.
Sorry if I'm incorrect...
F(x)=x^3+4x^2+x-6
What are the real zeros
To find the real zeros of the given function, set it equal to zero and solve the resulting equation.
Explanation:The real zeros of the function F(x) = x^3 + 4x^2 + x - 6 are the values of x that make the function equal to zero.
Step 1: Set the function equal to zero: x^3 + 4x^2 + x - 6 = 0.Step 2: Solve the equation by factoring, synthetic division, or using the Rational Root Theorem.Step 3: The real zeros of the function F(x) = x^3 + 4x^2 + x - 6 are the solutions obtained from Step 2.Someone help me with this question ASAP and show work please and thank you
Answer:
g(f(x)) = x
Step-by-step explanation:
You are given f(x) = -4x - 1 and g(x) = [tex]\frac{x+1}{-4}[/tex]. Keep in mind that f(x) or g(x) is the same as a y = equation, but two separate equations.
You are trying to find g(f(x)), which means that you will use f(x) and substitute this value into the x value in the equation of g(x).
It will look like: g(-4x - 1) = [tex]\frac{x+1}{-4}[/tex]
[tex]\frac{(-4x-1)+1}{-4}[/tex]
Now evaluate the expression to solve the problem. Start by combining like terms.
[tex]\frac{(-4x)}{-4}[/tex]
You are left with -4x/-4. We can simplify this even further by dividing both sides of the fraction by -4/-4. The -4's cancel out and become 1's, so you are left with:
[tex]x[/tex]
Answer:
Step-by-step explanation:
g(f(x)) means that wherever you see an x in g(x) you put f(x) in it's place. Read that sentence a couple of times until it makes sense.
g(x) = (x + 1)/-4
g(f(x)) = (f(x) + 1) / - 4 Now wherever you see f(x), put in -4x - 1
g(f(x)) = [(-4x - 1) + 1] / - 4 Remove ( )
g(f(x)) = [-4x - 1 + 1 ] / - 4
g(f(x)) = [-4x] / - 4 Do the division
g(f(x)) = x
Neat problem. thanks for posting.
There are 1600 kilocalories in 5 cups of dog food that mike gives his adult dog. Mike gives his puppy 2 cups of the same dog food. How many kilocalories are there in this 2-cup serving?
Answer:
640 kilocalories are there in this 2-cup serving.
Step-by-step explanation:
Proportion states that the two ratios or fractions are equal.
As per the given statement: There are 1600 kilocalories in 5 cups of dog food that mike gives his adult dog. Mike gives his puppy 2 cups of the same dog food.
Let x kilocalories are there in 2-cup serving.
then, by definition of proportion;
[tex]\frac{1600}{5} =\frac{x}{2}[/tex]
Multiply both sides by 2 we get;
[tex]x = \frac{1600}{5} \times 2[/tex]
Simplify:
[tex]x = 320 \times 2 = 640 kilocalories[/tex]
Therefore, 640 kilocalories are there in this 2-cup serving.
Write the equation in slope intercept form of a line that goes through (4,9) and has a slope of 1/2
Answer:
y = [tex]\frac{1}{2}[/tex] x + 7
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
here m = [tex]\frac{1}{2}[/tex], hence
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
to find c substitute (4, 9) into the partial equation
9 = 2 + c ⇒ c = 9 - 2 = 7
y = [tex]\frac{1}{2}[/tex] x + 7 ← equation in slope-intercept form
help please. its math. please explain your answer
Answer:
Step-by-step explanation: 20 percent
:)
find the exact value of x
ΔABC and ΔCBD are similar. Therefore we have the proportion:
[tex]\dfrac{AB}{BC}=\dfrac{BC}{BD}\\\\AB=6;\ BC=x;\ BD=2[/tex]
Substitute:
[tex]\dfrac{6}{x}=\dfrac{x}{2}[/tex] cross multiply
[tex](x)(x)=(6)(2)\\\\x^2=12\to x=\sqrt{12}\\\\x=\sqrt{4\cdot3}\\\\x=\sqrt4\cdot\sqrt3\\\\\boxed{x=2\sqrt3}[/tex]
In math, how do you solve 2h<200?
Answer:
h < 100
Step-by-step explanation:
isolate h by dividing both sides by 2
h < 100
What is 15 to the 1/3 power in radical form
[tex]\sqrt[n]{a^m}=a^{\frac{m}{n}}\\\\\boxed{15^{\frac{1}{3}}=\sqrt[3]{15}}[/tex]
Radical form is the form of a equation in which the number or variable is written under some power of the root. The 15 to the 1/3 power in radical form is [tex]\sqrt[3]{15}[/tex].
Given information-15 to the 1/3 power is the 1/3 power of the number fifteen and it can be expressed as,
[tex]=(15)^{\dfrac{1}{3}[/tex]
This number has to be written in the radical form.
Radical form-Radical form is the form of a equation in which the number or variable is written under some power of the root.
When a fractional exponents of the number is given the numerator becomes the power and the denominator becomes the root. Let [tex]x^{\dfrac{a}{b}[/tex] is a number with fractional exponents where a and b are the real and positive integer, then a becomes the power and the b becomes the root of the number x.
[tex]x^{\dfrac{a}{b} }=\sqrt[b]{x^a}[/tex]
For the given number,
[tex]=(15)^{\dfrac{1}{3}}=\sqrt[3]{15}[/tex]
Hence the 15 to the 1/3 power in radical form is [tex]\sqrt[3]{15}[/tex].
Learn more about the radical form here;
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write 423% as a decimal
[tex]p\%=\dfrac{p}{100}\\\\423\%=\dfrac{423}{100}=4\dfrac{23}{100}=4.23\\\\\boxed{423\%=4.23}[/tex]
Answer:
4.23
Step-by-step explanation:
423%
Percent means out of 100
423/100
Pt the decimal 2 places to the left of the 3
4.23
What is the value of 3b when b = 18?
Answer:
54
Step-by-step explanation:
to evaluate substitute b = 18 into 3b
3b = 3 × 18 = 54
[ Answer ]
54
[ Explanation ]
B = 18
Substitue B for 18
3 * 18
= 54
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3. The population of Detroit, MI was 673,104 in 2018. The population of the United States was about 325.7 million in 2017 (a) Write each population in scientific notation. (2 points) (b) About how many times larger was the population of the United States than the population of Detroit, MI? Show your work
Answer:
a) 6.73104 x 10⁵
b) about 480 times larger
Step-by-step explanation:
a) 673,104 people in scientific notation is 6.73104 x 10⁵
b)325.7 million is the same as 325700000 = 3.257 x 10⁸
so (3.257 x 10⁸) divided by (6.73104 x 10⁵) ≈ 0.48 x 10³
480 times larger
If (6 to the 0 power ) to x power = 1, what are the possible values of x? Explain answer
The value of x can be any real number because raising 1 to any exponent will always result in 1.
The question needs us to solve for x in the equation [tex](6 to the 0 power)^x[/tex]= 1. We know that any non-zero number raised to the 0 power is 1 (e.g.,[tex]10^0[/tex] = 1). Thus, 6 to the 0 power is 1 regardless of the value of 6. From this, we have[tex]1^x[/tex], which is still 1 for any value of x because 1 raised to any power is always 1. Hence, the equation remains true for any real number value of x.