Answer: 5
Step-by-step explanation:
perimeter = 2 x length + 2 x width
plug in the values
46 = 2(3x+2)+2(x+1)
distribute the 2 into the fraction by multiplying
46 = 6x+4+2x+2
add similar components
46 = 8x+6
subtract 6 to both sides
40 = 8x
divide by 8
5 = x
If Mrs. Davis and her sisters also get haircuts,
about how much will they pay in all?
Using mathematical operations, yes Mrs. Davis and her two sisters can get hair coloured under $100 including $10, and their actual cost will be $96.85.
What exactly are mathematical operations?A mathematical function known as an operation converts zero or more input values into a precisely defined output value.The quantity of operands affects the operation's arity.The four mathematical operations are functions that change one number into another by taking input values, or numbers, as inputs.They are addition, subtraction, multiplication, and division.So, the total cost of hair coloring:
Can, all 3 get the hair colored for less than $100 with a $10 tip?When the cost of hair coloring is $28.95.Now, calculate as follows:
$28.95 × 3 = $86.85$86.85 + $10(Tip) = $96.85Therefore, using mathematical operations, yes Mrs. Davis and her two sisters can get hair coloured under $100 including $10, and their actual cost will be $96.85.
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The complete question is given below:
Could Mrs.Davis and her two sisters get their hair colored for less than $100 if they include a $10 tip explain also the cost is $28.95 for the hair coloring.
Dividing Complex Numbers:
Simplify 5/-5i
By dividing the complex number 5 / -5[tex]i}[/tex] we get the answer as :
5 / -5[tex]i}[/tex] = [tex]i}[/tex]
Simplification:A complex number is a number system that extends the real numbers with a specific element denoted I known as the imaginary unit, and satisfying the equation [tex]i^{2}[/tex] = -1; each complex number can be expressed in the form a + bi, where a and b are real numbers.
Steps to simplify complex number:
On both the numerator and the denominator, multiply the given complex number by the conjugate of the denominator.Distribute the number in the numerator and denominator to remove the parentheses.Simplify i's powers.Given complex number , 5 / -5[tex]i}[/tex]
multiply the numerator and denominator with conjugate [tex]-i /-i[/tex]
= [tex]5(-i)/-5i(-i)[/tex]
by again simplifying we get ,
= [tex]-5i/-5[/tex]
-5 common from numerator and denominator is eliminated
so we get ,
5 / -5[tex]i}[/tex] = [tex]i[/tex]
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The double number lines show the ratio of yards to miles.
How many yards are in 4 miles?
Answer:
Guess it's 7.040 yards in 4 miles
Step-by-step explanation:
8.800÷5= 1.760 in 1 yard
4×1.760=7.040
prove me wrong
Answer:
In both number lines, from 0-8,800 and 0-5 there are 5 notches from the first and last, so what you first want to do is solve for the first number line. You can do this by divideing the largest number by the number of notchest on the line:
8,800/5 = 1760
So the notch after 0 will be 1760. To finish the pattern, you want to add the number you got after dividing the total, by itself, 4 more times, as shown:
1,760 + 1,760 = 3,520
3,520 + 1,760 = 5,280
5,280 + 1,760 = 7,040
7,040 + 1,760 = 8,800
Now the number line will look like this:
0, 1760, 3520, 5280, 7040, 8800
0, 1, 2, 3, 4, 5
Compared to the second number line we find that there are 7,040 yards in 4 miles!
Step-by-step explanation:
Hope it helps! =D
Which is NOT a solution for 5-2x ≥-3?
A 0
B 2
C 4
D 5
Answer:
D 5
Step-by-step explanation:
Solve the inequality
5-2x ≥-3
Subtract 5 from each side
5-2x-5 ≥-3-5
-2x ≥-8
Divide by -2, remembering to flip the inequality
-2x/-2 ≤-8/-2
x ≤4
The only number not less than or equal to 4 in the choices is 5.
5 is not a solution
Answer:
Answer D is correct
Step-by-step explanation:
First, let us solve for x.
[tex]5 - 2x \geqslant - 3[/tex]
First, subtract 5 by both sides.
[tex] - 2x \geqslant - 3 - 5 \\ - 2x \geqslant - 8[/tex]
Divide both sides by -2.
[tex]x \leqslant 4[/tex]
Remember that, when you divide or multiply both sides by a negative number it change the direction of the inequality sign.Now, let us identify the equality sign and write the solutions of it.
[tex] \sf \leqslant \: \: \rightarrow \: \: x \: is \: less \: than \: or \: equals \: to \: 4[/tex]
Solutions
x = { 4, 3, 2, 1, 0...}
Accordingly, as 5 is greater than 4, 5 is not a solution for this given inequality.
280= -8 (-14+×)
What's the solution??
Answer:
x = -21
Step-by-step explanation:
The first you have to do is distribut the -8 to the -14 and x. Once you do that, you get 280 = 112 - 8x. Next, you need to subtract 112 from each side, so you get 168 = -8x. Now, you divide -8 from each side and you get -21 = x. Hope this helps!
help pls i think it’s 42 but i’m not sure
Answer:
42
Step-by-step explanation:
This triangle is right angled so we know it has a 90-degree angle at the corner with the box.
All angles add up to 180 in a triangle.
180 = 90 + 48 + x
180 - 90 = 48 + x
90 - 48 = x
x = 42
Hope that helps
Is the study experimental or observational?A political pollster reports that his candidate has a 10% lead in the polls with 10% undecided.(A) ExperimentalB) Observational
Answer:
B) Observational
Explanation:
Observational studies are studies where the researchers only observe the variables and don't make changes. When the political pollster reports the percentage, it only observes the decision of the people but they can't change what makes a person select one candidate or the other.
The heights of three cylinders are 3cm, 9cm and 15cm. if the larger cylinder has a capacity of 725mililiters calculate calculate the capacities of the other cylinder
The capacity of 9 cm cylinder is 435 mililiters.
The capacity of 3 cm cylinder is 145 mililiters.
What is defined as the volume of cylindre?The volume of a cylinder is its density, which indicates how much material it can hold or how much of any material can be submerged in it. The volume of a cylinder is given by the formula πr²h, in which r is the radius of a circular base and h is the cylinder's height.For the given question;
The capacity of larger cylinder; 15 cm height is 725 millilitres.
Volume of 15 cm height cylinder = 725 cu. cm.
Thus,
πr²h = 725
Put h = 15 cm
πr²15 = 725
r² = 725/ 15π
r² = 145/3π
The volume of 9 cm cylinder = πr²9
Put the value of r² = 145/3π
V(h = 9 cm) = π×145×9/3π
V(h = 9 cm) = 435 cu. cm.
The volume of 3 cm cylinder = πr²3
Put the value of r² = 145/3π
V(h = 3 cm) = π×145×3/3π
V(h = 3 cm) = 145 cu. cm.
The capacity of 9 cm cylinder is 435 mililiters.
The capacity of 3 cm cylinder is 145 mililiters.
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Compare the two groups of data. which statement is true?
The true statement is the range of Mrs Plum's class is 14 greater than the range of Mr Scarlet's class.
What is the range?A box plot is a graph that is used to describe a dataset. A box plot is made up of two lines and a box. The two lines are known as whiskers.
The end of the first whisker represents the minimum number and the end of the second whisker represents the maximum number. The difference between the whiskers is the range.
Range is used to measure the variation of a dataset. It is the difference between the maximum number and the minimum number.
Range = maximum number - minimum number
Range of Miss Scarlet's class = 98 - 65 = 33
Range of Miss Plum's class = 98 - 51 = 47
Difference in range = 47 - 33 = 14
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The cost of one pencil is 3$, and the total cost of three pencils in 9. Which of the following is true
The correct option is A :the number of pencils and the total cost are in a proportional relationship because the cost does not increase with the number of pencils.
Given cost of one pencil is $3
Thus when we have to find the cost of three pencils we will multiply it with 3 and would be able to get the required amount that is $ 9.
Thus we can say that the number of pencil and cost has direct relationship.
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On a trip to Spain, Kiana wants to exchange some of her money from US dollars to euros. She looks at the graph to determine the exchange rate
From the given graph, the exchange rate is; 1 dollar = 0.9 euros
How to interpret slope on linear graph?The formula to find the slope from two coordinate points is;
m = (y2 - y1)/(x2 - x1)
To get the slope, let us use points A and B;
A(0, 0) and B(1, 0.9)
Thus;
Slope = (0.9 - 0)/(1 - 0)
Slope = 0.9
Let us use points C and D to verify the slope.
Slope = (2.6 - 1.7)/(3 - 2)
Slope = 0.9
Thus, 0.9 euros costs 1 dollar
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Your favorite cookies use 2 1/4 cups of flour per batch. You used 7 7/8 cups. How many pitches did you make?
Answer:
3
Step-by-step explanation:
You have 3 lots of 2 1/4 to get as close to 7 7/8 without going over it. Meaning thats how many batches you can make.
help pass due! i need all help i can get!
Simplify (8h³+h-11) - (3h³+5h²-3h - 7)
a) 11h³ + 5h² - 2h - 18
b) 5h³- 5h² + 4h - 4
c) 11h³ - 5h² +4h - 4
d) 5h³ + 5h² - 2h + 4
Answer: B) 5h³- 5h² + 4h - 4
Step-by-step explanation:
First, get rid of the parenthesis by distributing the negative sign to (3h³+5h²-3h - 7).
The expression is now 8h³ + h -11 - 3h³ - 5h² + 3h + 7
Now, combine like terms. Add terms with the same exponent. Let's start with the terms with the highest exponents.
8h³ + (- 3h³) = 5h³
- 5h²
h + 3h. = 4h
-11 + 7 = -4
Rewrite the new combined terms to get 5h³- 5h² + 4h - 4
Answer:
b) 5h³-5h²+4h-4
Step-by-step explanation:
Greetings !
look at the figure i have attached above
Hope it helps !!
what do you add to 4 1/7 to make 6
Answer:
Step-by-step explanation:
4 1/7 = 29/7
6 = 42/7
What you need to add to 4 1/7 is:
6 - 4 1/7
42/7 - 29/7
13/7.
In mixed fractions, it's 1 6/7.
a triangle has base 8 cm and perpendicular height 5.2cm
work out the area of the triangle
Answer: 20.8
Step-by-step explanation:
(8*5.2)/2 so 8/2=4*5.2=20.8
Answer: 20.8 [tex]cm^{2}[/tex]
Step-by-step explanation:
DOMAIN:
Inequality:
Interval:
O
JIDID
IO
Answer:
Yes the other person is correct
Step-by-step explanation:
oop their answer got deleted
my bad
The weight of a shipment, y, is directly proportional to x, the reams of paper included. If a shipment of 3 reams of paper weighs 12 lbs, find the reams of paper in a shipment that weighs 96 lbs.
Step-by-step explanation:
y = kx
3 = k × 12
.: k = 12/3 = 4
Inputting that to when y = 96 Ibs.
We have:
96 = 4 × x
96 = 4x
.: x = 96/4
x = 24 realms.
Simplify the expression, 7√2826 - 5√63x6
Assume all variables are positive.
0-³√7
0x³√7
Ox√7
0 -x√7
Hello! So...
We are given the following to simplify:
[tex]7\sqrt{28x^6} -5\sqrt{63x^6}[/tex]
_________________________________________________
To solve this, we must simply simplify.
[tex]7\sqrt{28x^6} =14\sqrt{7} x^3[/tex]
[tex]5\sqrt{63x^6}=15\sqrt{7}x^3[/tex]
[tex]=14\sqrt{7}x^3-15\sqrt{7}x^3[/tex]
Now, add the similar elements:
[tex]14\sqrt{7}x^3 -15\sqrt{7} x^3=-\sqrt{7}x^3 \\[/tex]
Now, considering we are assuming all variables are positive in this situation, we need to convert the negative into a positive solution.
[tex]=-\sqrt{7}x^3[/tex]
[tex]= x^3\sqrt{7}[/tex]
^Hence, our solution.^
______________________________________________________
Hope this helps! If so, please lmk! Thanks and good luck!
Complete all problems (there is one on
1. Let f(x)=√x and let g(x) = 2x² - 8
a. Find fo g(x) and its domain and range
b. gof(x) and its domain and range
c. What is go f (3)?
The values of the composite function are (f o g)(x) = √2x² - 8 and (f o g)(x) = 2x - 8, while their domains are x > 2 and 0 < x < oo, respectively
Lastly, the value of (g o f)(3) is -2
How to evaluate the function?Composite function 1
The functions are given as
f(x) = √x
g(x) = 2x² - 8
The composite function definition is given as
(f o g)(x)
This composite function is calculated using the following composite function formula
(f o g)(x) = f(g(x))
Substitute the known values in the above equation
(f o g)(x) = √g(x)
This gives
(f o g)(x) = √2x² - 8
For the domain, we have
2x² - 8 > 0
This gives
x > 2
Composite function 2
The functions are given as
f(x) = √x
g(x) = 2x² - 8
The composite function definition is given as
(g o f)(x)
This composite function is calculated using the following composite function formula
(g o f)(x) = g(f(x))
Substitute the known values in the above equation
(g o f)(x) = 2f(x)² - 8
This gives
(g o f)(x) = 2(√x)² - 8
Evaluate
(g o f)(x) = 2x - 8
The function is a linear function
So the domain is the set of all real values
Substitute 3 for x in (g o f)(x) = 2x - 8
(g o f)(3) = 2(3) - 8
Evaluate
(g o f)(3) = -2
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can some one help picture below
Answer:
3 1/2
Step-by-step explanation:
each dozen needs 1/2 cup of chocolate chips so 1/2 times 7 = 3 1/2
8. Which pair of angles are alternate interior angles?
1
3
021 and 28
21 and 27
22 and 27
023 and 26
2
4
5
7
6
8
10
9
(1 point)
Answer:
∠3 and ∠6
Step-by-step explanation:
∠3 and ∠6 because they lie inside the parallel lines (the lines going left to right) and are on opposite sides of the transversal (diagonal line)
Can someone help with this???
Answer:
a.25
b.26
c. Eva as her unit rate is faster than Sarah
ask me if u want me to explain
It takes you 30 minutes to rake the leaves in your yard and
it takes your brother 45 minutes. How long does it take the two of you to rake
the leaves when working together?
Answer:
18.75
Step-by-step explanation:
I'm not exactly sure.
I divided 30 by 2 and 45 by 2 and took both answers and added them together and then took the sum of that and divided it by 2.
2. If you can bake 15 cookies in 5 minutes, then how many cookies can you
bake in 32 minutes?
Please help! I need to get this done ASAP.
The trigonometric expression sin(30°) + cos(60°) is equal to 1.
What is trigonometry?
Trigonometry is the study of relationships between angles and side lengths of triangles. The use of geometry in astronomical studies gave rise to the field in the Hellenistic era in the third century BC. Greek mathematicians focused on chord calculation, whereas Indian mathematicians created the earliest tables of values for trigonometric ratios (also known as trigonometric functions), such as sine.
There are two trigonometric ratios in the given expression,
sin(30°) and cos(60°).
Here, sin(30°) is equal to the value 1/2
i.e. sin(30°) = 1/2
And, cos(60°) is equal to the value 1/2
i.e. cos(60°) = 1/2
Adding these equations, we get
sin(30°) + cos(60°) = 1/2 + 1/2 = 2/2 = 1
therefore, on solving the given trigonometric expression we get answer value 1.
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Please help me. I need this done fast.
The correct equation that is balanced using the given numbers once is;
5(-1 + (-3)) = (7 * -4) + 8
How to carry out Algebra Properties?There are some properties of Algebra such as;
Commutative Property of Addition or multiplication
Associative Property of Addition or multiplication
Transitive Property
Distributive Property
Now, looking at the given numbers, one good idea is to use only a positive digit outside the bracket on the left hand side of the equation to make it easy to balance on the right hand side of the equation. Thus, for the left hand side we will try;
5(-1 + (-3))
When that is solved we will get -20
Now, to balance that on the right hand side , we will have;
(7 * -4) + 8 which also equals -20
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The shortest side of a right angle triangle is 6cm shorter than the hypotenuse. The difference in length of the other two sides is 3cm. If the shortest side is n - 3, show that 2n squared equals 12n. Hence, n.
The value of n in the right triangle is 12 cm.
How to find the side of a right triangle?The shortest side of a right angle triangle is 6cm shorter than the hypotenuse.
The difference in length of the other two sides is 3cm.
The hypotenuse side is the longest side of a right triangle.
Hence,
hypotenuse side = n - 3 + 6
hypotenuse side = n + 3
Shortest side of the right triangle = n - 3
Other side = n
Therefore, using Pythagoras theorem,
(n + 3)² = (n - 3)² + n²
(n + 3)(n + 3) = (n - 3)(n - 3) + n²
n² + 3n + 3n + 9 = n² -3n -3n + 9 + n²
n² + 6n + 9 = 2n² - 6n + 9
Therefore,
2n² - n² + 9 - 9 = 6n + 6n
n² = 12n
n² - 12n = 0
n(n - 12) = 0
n = 0 and n = 12
Therefore,
n = 12
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a local dog breeder wants to know if her great dane puppies weigh, on average, the same as the larger population of great dane puppies. her 16 puppies have an average weight of 6.7 pounds, with a standard deviation of 0.5 pound. the population of all great dane puppies has an average weight of 7 pounds, with a standard deviation of 0.45 pound. if she wanted to calculate the 95% confidence interval for her sample, which mean would she use in the formula?
For a confidence interval, she would use her sample mean, hence the mean of 6.7 pounds.
What is a t-distribution confidence interval?In the context of this problem, we use the t-distribution instead of the z-distribution, as we have the standard deviation for her sample.
The bounds of the confidence interval are given according to the following rule:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which the parameters are defined as follows:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.From the first bullet point, we get that she should use her sample mean for the calculation of the confidence interval, that is, the mean of 6.7 pounds should be used.
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Solve the following equation for x = 5.
Answer: 5= 4x + 8
-8 -8
-3= 4x
the answer is x = 0.75
i don't know if I'm right if I am not I am sorry
Which of the following fractions could you add together easily?