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Related Questions
What is the solution set?
3.3x−11.6>18.1
Enter your answer in the box.
Please answer fast thanks!
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The solution set is (9, ∞).
To solve the inequality 3.3x-11.6>18.1, we need to isolate the variable x.
First, we can add 11.6 to both sides of the inequality to get 3.3x>29.7.
Then, we can divide both sides by 3.3 to solve for x: x>9.
We can express the solution set using interval notation as (9, ∞).
Therefore, The solution set is (9, ∞).
The solution set for the inequality 3.3x - 11.6 > 18.1 is x > 9, meaning x is greater than 9.
To solve the inequality 3.3x - 11.6 > 18.1, you can follow these steps:
1. Add 11.6 to both sides to isolate the term with x:
3.3x - 11.6 + 11.6 > 18.1 + 11.6
3.3x > 29.7
2. Now, divide both sides by 3.3. Remember, when you divide by a positive number, the inequality sign remains the same:
[tex]\[ \frac{3.3x}{3.3} > \frac{29.7}{3.3} \][/tex]
[tex]\[ x > \frac{29.7}{3.3} \][/tex]
x > 9
So, the solution set for the inequality 3.3x - 11.6 > 18.1 is x > 9.
This room has soda stains on the floor. Tyler needs a bigger rug than this to cover it. Perform a dilation on the blue rug to cover the stain. Be sure to specify the scale factor used.
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Scaling it by anymore will work bit scaling it by 2 will be the smallest dilation that will satisfy this problem.
help!!!!!!!! plz I need your help
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Choose the correct simplification of the expression g to the power of 5 times h to the power of 4 all over g to the second power times h to the third power.
A g7h
B g3h
C g7h7
D g to the third power over h to the seventh power
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[tex] \frac{ {g}^{5} \times {h}^{4} }{ {g}^{2} \times {h}^{3} } [/tex]
One rule of indicies is that when you divide numbers with indicies and the same base, you minus the indicies.
This means that you just need to do
[tex] {g}^{5} \div {g}^{2} = {g}^{3} [/tex]
and
[tex] {h}^{4} \div {h}^{3} = {h}^{1} = h[/tex]
Therefore, your answer is
[tex] {g}^{3} h[/tex]
Answer:
g3h
Step-by-step explanation:
I got it right
in a packet of skittles,27% are red and 14% are blue. What percentage are not red?
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Which number is written in scientific notation?
6x10^11
12x10^-8
0.2x10^5
8x7^2
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[tex]a * 10 ^ b [/tex]
Where,
a: is a number between 1 and 10
b: is the exponent of the scientific notation.
We have then that the number that is in scientific notation written correctly is:
[tex]6x10 ^ {11}[/tex]
Answer:
[tex]6x10 ^ {11}[/tex]
Answer: [tex]6\times10^{11}[/tex]
Step-by-step explanation:
We know that the scientific notation is a technique to write a very large or a very small number in the product of a decimal form of number [generally between 1 and 10]and powers of ten.
[tex]6\times10^{11}\\\text{ It is in scientific form}\\\\12\times10^{-8}\\\text{It is not in scientific form, since} 12 >9\\\\0.2\times10^5\\\text{It is not in scientific form, since }0.2<1\\\\8\times7^2\\\text{ It is not in scientific form, since power of 10 is not there}[/tex]
Hence, the number written in scientific notation is [tex]6\times10^{11}[/tex]
I don’t know how to do it
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This is the formula we'll use:
a²+b²=c²
Since it's a square, a and b are the same.
7²+7²=c²
49+49=c²
98=c²
√98=c
c=9.8995
So, the diagonal is 9.8995
9.8995<11
So, since the diagonal of the square is 9.8995 cm, it is less than the circumference of the circle meaning that it will fit in to the circle without touch the circle's circumference.
3. Quilt squares are cut on the diagonal to form triangular quilt pieces. The hypotenuse of the resulting triangles. Is 18 inches long. What is the side length of each piece?
4. Find the missing value to the nearest hundredth.
sin________=8/15
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Question 3.
Answer: fourth option 9√2
Explanation:
1) Since the original quilt is square, you know that the diagonal length is the hypotenuse of the two triangles formed and it satifies this formula, derived from the Pythagorean theorem:
(diagonal) ^2 = (hypotenuse)^2 = 2 * (side length)^2
2) Solve for the side length:
(side length)^2 = (diagonal)^2 / 2
=> side length = √ [ (diagonal)^2 / 2 ] = diagonal * (√2) / 2
3) Substitute the diagonal length value:
side length = 18 * (√2) / 2 = 9√2
Question 4
Answer: second option 32.23°
Explanation
1) Given sin(angle) = 8 /15
2) To find the angle you have to use the inverse function, arcsin
angle = arcsin (8/15)
3) The calculator uses that function and the result that it gives is 32.23°.
To avoid confusions make sure that the calculator is in mode degrees.
Problem:Broderick had 420 in his checking account. He made 6 deposits of 35.50 each and he needs to write 4 checks for 310.75 each.
Question: I need to know an INTEGER to represent the total deposits Broderick made and another integer to represent Broderick needs from his checking account to cover the checks?
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He needs to write 4 checks for 310.75 each. Then total checks are: 4* $310.75- $1243
To cover the checks, Broderick will need to add: $1243- ($420 + $213)= $610
A vendor pays a rock band 1/3 of the total profit from T-shirts and sweatshirts sold at every concert. The vendor paid the rock band $726 after the last concert. If the profit from T-shirts sales was $1,632, what was the profit from sweatshirt sales?
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Using this information, we know that is we multiply 1/3 by 3 we get 1 whole, so we also multiply $726 by 3 to get the value of all the profits:
$726×3= $2178
So, if $2178 was the total value of the profits and T-shirt profits were worth $1632, then the value of sweatshirt profits was $2178-$1632= $546
Therefore, your answer is $546
Amir is operating a machine that adds sand to a concrete mixture. The machine adds 1/10 ton of sand to the mixture in 4/5 minute. Enter a number in each box to complete the statements. Write the ratio that compares 1/10 ton of sand to 4/5 minute. The ratio in ton(s) per minute(s) is $$ . Simplify the ratio to find the amount of sand added in one minute. ton(s) per minute
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for the above question, we can first convert the fractions to decimals to make it easier to work with
1/10 of sand - 0.1 ton
4/5 minute - 0.8 minute
Q1 -
ratio
0.1:0.8
since the ratio is in decimals we can convert it to whole numbers by multiplying by 10
1:8
Q2. amount of sand added in 0.8 minutes - 0.1 ton
amount of sand added in 1 minute - 0.1/0.8 = 0.125 tons
Im desperate xD
I KEEP TRYING AND FAILING HELP PLS
Burger Barn makes dipping sauce by mixing 2 spoonfuls of honey with 1/2 spoonful of mustard. Sandwich Town makes dipping sauce by mixing 4 spoonfuls of honey with 1 spoonful of mustard. Which dipping sauce has a stronger mustard flavor?
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2 spoonfuls of honey....................1/2 spoonful of mustard if we multiply by 2
4 spoonfuls of honey......................1 spoonful of mustard
sandwich Tom has the same strength of dipping sauce
4 sp of honey to 1 of mustard
both are the same
3x=-5y
6x-7y=17
Solve the equation
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6x - 7y = 17 --------- (2)
From (1):
3x = -5y
x = -5/3 y ---------- sub into (2)
6 (-5/3 y) - 7y = 17
-10y - 7y = 17
-17y = 17
y = -1 ------------ Sub into (1)
3x = -5 (-1)
3x = 5
x = 5/3
Ans: x = 5/3, y = -1
Final answer:
To solve the system of equations, we first expressed x in terms of y from the first equation and substituted it into the second equation. After simplifying, we solved for y and then substituted back into the first equation to find x. The solution is x = 5/3, y = -1.
Explanation:
To solve the system of equations 3x = -5y and 6x - 7y = 17, one can use the method of substitution or elimination. We'll use elimination for this example. First, observe that the first equation can be rewritten to solve for x in terms of y:
3x = -5y
x = -5y/3
Let's substitute this expression for x into the second equation:
6(-5y/3) - 7y = 17
-10y - 7y = 17
-17y = 17
y = -1
Now substitute y back into the first equation to find x:
3x = -5(-1)
3x = 5
x = 5/3
The solution to the system of equations is x = 5/3, y = -1.
The amount of money that Charlie saves each week is directly proportional to the amount he earns. Last week Charlie saved $32 on his earnings of $512. At the same rate, how much will Charlie save this week on his earnings of $448?
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512= k ·32 so k=512/32=16;
This week
448= k · amount he saved
448=16· amount he saved
amount saved=448/16=28
Answer $28
Answer:
$28.
Step-by-step explanation:
Let y represent of saved money and x represent amount of earned money.
We have been given that the amount of money that Charlie saves each week is directly proportional to the amount he earns.
We know that two proportional quantities are in form [tex]y=kx[/tex], where, k is constant of proportionality.
Substitute given values and solve for k:
[tex]32=k*512[/tex]
[tex]\frac{32}{512}=\frac{k*512}{512}[/tex]
[tex]\frac{1}{16}=k[/tex]
To find amount of saved money, we will substitute [tex]k=\frac{1}{16}[/tex] and [tex]x=448[/tex] in our equation.
[tex]y=\frac{1}{16}\cdot 448[/tex]
[tex]y=28[/tex]
Therefore, Charlie saved $28 in the given week.
Use the elimination method to solve the system of equations. 5x + 2y = −45x + 2y = −4 −5x + 3y = 19−5x + 3y = 19 (−2, 3)(−2, 3) There is no solution. There are an infinite number of solutions. (−4, 6)
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If you were given a rectangle with a certain area how would you draw it so that it had the greatest perimeter
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Explanation:
The rectangle that has the greatest perimeter given a fixed area is the square.
So, take the square root of the area and draw a square with that side length.
The demostration of that is done using the optimization concept from derivative. If you already studied derivatives you can follow the following demostration.
These are the steps:
1) dimensions of the rectangle:
length: l
width: w
perimeter formula: p = 2l + 2w
area formula: A = lw
2) solve l or w from the area formula: l = A / w
3) write the perimeter as a function of w:
p = 2 (A / w) + 2w
4) find the derivative of the perimeter, dp / dw = p'
p' = - 2A / w^2 + 2
5) The condition for optimization is p' = 0
=> -2A / w^2 + 2 = 0
=> 2A / w^2 = 2
=> w^2 = A
Which means that the dimensions of the rectangle are w*w, i.e. it is a rectangle of side length w = √A
To maximize the perimeter of a rectangle with a given area, increase the length and decrease the width significantly.
To draw a rectangle with the greatest perimeter given a certain area, you should make the rectangle as long and narrow as possible. When the length of the rectangle approaches infinity and the width approaches zero while maintaining the same area, the perimeter is maximized.
What is the value of Fraction 1 over 2x3 + 3.4y when x = 3 and y = 4?
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Answer:
27.1
Step-by-step explanation:
hope it helps!
A bird’s wing span is the distance from the tip of one wing to the tip of the other. A California condor can have a wingspan of 9 1/2 feet. A big hummingbird can have a wingspan of 2 1/2 inches. How much longer is the California condors wingspan then the
Bee hummingbirds?
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12x 9.5=114
convert hummingbird inches to decimal
2.5
subtract for difference
114-2.5=111.5
What is the side length of a cube with a volume of 0.008 m3?
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0.008=8/1000
Cube root of 8/cube root of 1000 = 2/10
2/10=1/5
The side length of the cube is 0.2 meters.
Hope this helps?
Answer:0.2
Step-by-step explanation:
What is the surface area of this rectangular prism? Rectangular prism with length labeled 12 meters, height labeled 3 meters, and width labeled 4 meters. m²
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sa = (2 × l × w) + (2 × l × h) + (2 × w × h)
sa = (2 × 12 × 4) + (2 × 12 × 3) + (2 × 4 × 3)
sa = 96 + 72 + 24
sa = 192
The surface area is 192 m²
Show twelve in four different ways.use words, pictures and numbers
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Draw a dime and two pennies
Draw a circle and cut it into 12 different pieces
Write out the number 12 Twelve
Write 12
|12-14|-|15|. How do you figure this equation out anyone?
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will always be positive. So,
l12-14l-l15l = l-2l-l15l = 2 - 15 = -13 Ans.
A typical stone on the lowest level of the Great Pyramid in Egypt was a rectangular prism 5 feet long by 5 feet high by 6 feet deep and weighed 15 tons. What was the volume of the average stone? How much did one cubic foot of the stone way?
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An exponential function f(x) is reflected across the y-axis to create function g(x). Which is a true statement regarding f(x) and g(x)?
A. The two functions have no points in common.
B. The two functions have the same initial value.
C. The two function have opposite output values of each other for any given input value.
D. The graph of the two functions would look exactly the same.
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If m∠
∠
1=45 degrees, which other angles have a measure of 45 degrees? Select all that apply.
∠
2
∠
3
∠
4
∠
5
∠
6
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Answer:
4,5
Step-by-step explanation:
The person above me is correct
The angles ∠2 = 135°, ∠3 = 135°, ∠4 = 45°, ∠5 = 45°, and ∠6 = 135° (all are in degrees)
What is an angle?Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
The angle ∠1 = 45° is given. And the diagram is shown.
Types of the angles are as follows;
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.Vertically opposite angle - When two lines intersect, then their opposite angles are equal.Alternate angle - If two lines are parallel then the third line will make z -angle and z-angles are equal angles with the parallel lines.∠1 + ∠2 = 180° (Supplementary angle)
45° + ∠2 = 180°
∠2 = 135°
∠1 = ∠5 = 45° (Corresponding angle)
∠2 = ∠6 = 45° (Corresponding angle)
∠1 = ∠4 = 135° (Alternate angle)
∠2 = ∠3 = 135° (Alternate angle)
More about the angled link is given below.
https://brainly.com/question/15767203
If the area of a circle is 12.56 square centimeters,then what is the radius
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12.56=pi r^2
12.56/pi=r^2
3.997=r^2
√3.997=r
r=1.99
Radius is 1.9
You walk 2 miles in 1/
2 hour. At that rate, how long will it take you to walk 3 miles?
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1/2 = 0.5 as a decimal
0.5 ÷ 2 = 0.25
That means you walk 1 mile in 0.25 of an hour. Multiply this by three:
0.25 × 3 = 0.75
Answer:
It will take you 0.75 (or 3/4) hour to walk 3 miles.
__________________________________________
Write a proportion.
__________________________________________
[tex] \frac{(2) mi}{(0.5) h } = \frac{(3) mi.}{(x)h} [/tex] ;
Solve for "x" , [ (in units of "h"; (hours) ] ;
Note: "Cross-multiply" ;
Note: Given (a/b) = (c/d) ; → ad = ab ; (b ≠ 0 ; d≠ 0) ;
→ 2x = (0.5 * 3) ;
→ 2x = 1.5 ;
Divide each side of the equation by "2" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
→ 2x / 2 = 1.5 / 2 ;
to get:
→ x = 1.5 / 2 = 15/20 = (15÷5) / (20÷5) = 3/4 ;
or: → x = 1.5 / 2 = 15/20 = (15*5) / (20*5) = 75/100 = 75 ÷ 100 = 0.75 .
________________________________________________________
The answer is: " [tex] \frac{3}{4} [/tex] mi. " ; or, write as: " 0.75 mi. " .
________________________________________________________
help me please which one is the answer
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There are more values larger than there are smaller, so it is skewed left.
ANSWER: First choice: the graph is skewed left.
Hope this helps! :)
ratios equivalent to 2:6.
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The ratios equivalent to 2:6 are: 9:3 and 7:21
The given ratio is [tex]\(2:6\)[/tex]. To find equivalent ratios, you can multiply or divide both parts of the ratio by the same non-zero number. Let's analyze the options:
1. 10:7
To check if this is equivalent to 2:6, divide both parts by 2:
[tex]\[\frac{10}{2} : \frac{7}{2} = 5: \frac{7}{2}\][/tex]
This is not equivalent.
2. 9:3
To check if this is equivalent to 2:6, divide both parts by 3:
[tex]\[\frac{9}{3} : \frac{3}{3} = 3: 1\][/tex]
This is equivalent.
3. 7:21
To check if this is equivalent to 2:6, divide both parts by 7:
[tex]\[\frac{7}{7} : \frac{21}{7} = 1: 3\][/tex]
This is equivalent.
Therefore, the ratios equivalent to 2:6 are:
2:6
9:3
7:21
a rectangular prism has a length of 4 feet, a width of 1 yard, and a height of 3 inches. what is the total surface area of the prism to the nearest tenth of a square foot?
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38.0 square feet