Answer:
d. 2.4 in
Step-by-step explanation:
So initially w/o frame the area was 5 x 7 = 35 sq in.
Now we have to add the width of the frame to both dimensions.
(5+w)(7+w) = 69.56 sq in
35 + 7w + 5w + w² = 69.56
w² + 12w + 35 = 69.56
w² + 12w - 34.56 = 0
I use the quadratic formula to solve this (x = -b±√b²-4ac / 2a). I cheat by using a quadratic program on the calculator :,)
w = 2.4
w = -14.4
Since we can't have a negative width, the answer must be w = 2.4 inches.
You can also just plug the answer choices one-by-one into the calculator with guess-and-check because this is multiple choice.
Answer: d) 2.4 inches
Step-by-step explanation:
Let x represent the width of the frame
Then the area of the frame is:
(x + 5)(x + 7) = 69.56
Rewrite it in Standard form of a quadratic equation:
x² + 12x + 35 = 69.56
x² + 12x - 34.56 = 0
Use Quadratic Formula to solve for x:
[tex]x=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-12+\sqrt{12^2-4(1)(-34.56)}}{2(1)}\\\\\\x=\dfrac{-12+\sqrt{282.24}}{2}\\\\\\x=\dfrac{-12+16.6}{2}\\\\\\x=\dfrac{4.8}{2}\\\\\\x=\large\boxed{2.4}[/tex]
There were 49 questions in the exam and Peter answered 45 questions correctly. Find the percent of error.
A. 8.16%
B. 8.2%
C. 8.5%
D. 8.8%
Answer:
A
Step-by-step explanation:
49-45 = 4 wrong
4/49 = 0.08163
= 8.16%
Answer:
A) 8.16
Step-by-step explanation:
1) Subtract 49-45
2) Divide 4/49 and multiply by 100
3) Then multiply by 100
Hope this helped
Ive 5 - 6x = 8x + 17.
Answer:
-6/7
Step-by-step explanation:
5-6x=8x+17
-8x -8x
5-14x =17
-5 -5
-14x =12
/-14 /-14
12/-14 = -6/7
Please help! Correct answer only!
In a raffle, one ticket out of 1,000 will win a $870 prize, one ticket will win a $820 prize, and one ticket will win a $740 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?
Answer:
" Expected Payoff " ⇒ $ 1.56 ; Type in 1.56
Step-by-step explanation:
Consider the steps below;
[tex]Tickets That Can Be Entered - 1 Ticket,\\Total Tickets Entered - 1000 Tickets,\\\\Proportion - 1 / 1000,\\Money One ( First Ticket ) = 820 Dollars,\\Money One ( Second Ticket ) = 740 Dollars,\\\\Proportionality ( First ) - 1 / 1000 = x / 820,\\Proportionality ( Second ) - 1 / 1000 = x / 740\\\\1 / 1000 = x / 820,\\1000 * x = 820,\\x = 820 / 1000,\\x = 0.82,\\\\1 / 1000 = x / 740,\\1000 * x = 740,\\x = 740 / 1000,\\x = 0.74\\\\Conclusion ; " Expected Payoff " = 0.82 + 0.74 = 1.56[/tex]
Solution; " Expected Payoff " ⇒ $ 1.56
-3x + 12x how do I simplify that?
-3x+12x
Divide it all by three
-x+4x
Answer:
The answer is 9x
Step-by-step explanation:
-3x + 12x
12x - 3x = 9x
we can describe 15×-10 as an expression. we would describe 6×-2< 35 as an...
Answer: Inequality
Step-by-step explanation:
From the question, if we can describe 15×-10 as an expression, then we would describe 6×-2< 35 as an inequality. An
inequality is used to compare two values, and shows if one is less than, or greater than, or maybe not equal to the other value.
For example, a ≠ b means that a is not equal to b and a < b means a is less than b while a > b means a is greater than b. From the question, 6×-2< 35 means that 6x - 2 is less than 35.
what is the mean of this set {6,7,9,9,9}
Answer:
8
Step-by-step explanation:
To find the mean, or average of a data set, add all the values together, then divide by the number of values.
The data set is: 6,7,9,9,9
1. Add all the values
Add 6,7,9,9 and 9
6+7+9+9+9
40
2. Divide by the number of values
Count how many numbers are in the data set. In this case, there are 5 numbers.
Divide 40 by 5.
40/5
8
The mean of the data set is 8.
Steps:
Mean x: 8
Median x: 9
Mode: 9
Range: 3
Minimum: 6
Maximum: 9
Count: 5
Sum: 40
1: 6+7+9+9+9
2: =40
3: 40 divided by 5
4: = 8
Description:
The mean for this set is 8. We know this because when we add all the numbers = 40 then divided it by 5 = 8.
5 is the total numbers there
Please mark brainliest
Hope this helps.
Which of the following r one dimensional figures?
check all that apply.
a. ray
b. angle
c. square
d. point
e. segment
f. line
Answer:
a. ray
e. segment
f. line
Step-by-step explanation:
Info on dimensions:
A Point has no dimensions A Line is one-dimensional A Plane is two dimensionalA Solid is three-dimensionalLet's see number of dimensions of figures:
a. ray
One dimensionb. angle
Two dimensionsc. square
Two dimensionsd. point
Zero dimensione. segment
One dimensionf. line
One dimensionWhich of the following statements is/are true regarding the figure above?
Check all that apply.
A. It is a one-dimensional object.
B. It is a line segment.
C. It is a zero-dimensional object.
D. It is a point.
find the value of x,
Answer:
for the first one they are opposite angles so they are the same degrees so x=15 I forget adjacent angles so idk the second one sorry
Mr. Landry, the owner of Blissful Bites Bakery, prepares 30 pounds of cake batter each morning. Mr. Landry uses half of the cake batter to make large cupcakes. If he makes 48 cupcakes, how many ounces of cake batter does he use for each cupcake?
Answer:
5 ounces
Step-by-step explanation:
Mr. Landry prepares 30 pounds of cake batter each morning and he uses half of the cake batter to make large cupcakes.
This means that he uses 15 pounds of cake batter.
He makes 48 cupcakes with the batter.
Therefore, the number of pounds of batter he uses per cake is:
15 / 48 = 0.3125 pounds
We have to convert it to ounces.
1 pound = 16 ounces
=> 0.3125 pounds = 16 * 0.3125 = 5 ounces
He uses 5 ounces of cake batter for each cake.
Answer:
5 ONCES
Step-by-step explanation:
sry i had caps on but i did the math
what is circular test track
Answer:
A circular test track for cars has a circumference of 3.5km . A. car travels around the track from the southernmost point to the.
Step-by-step explanation:
The pair of figures is similar find X round to the nearest 10th if necessary
Answer:
x = 4.5 or rounded 5
Step-by-step explanation:
Because they are equal you can make the equation:
x/2 = 18/8
this means that 8 divided by 2 equals (4)
what 18 divided by x is (4)
this means 4 times x = 18
4x = 18
/4 /4
x = 4.5 ft
David correctly factored the expression m2 -12m - 64 which expression did he write ?
1. (m - 8)(m - 8)
2. (m - 8)(m + 8)
3. (m - 16)(m + 4)
4. (m + 16)(m - 4)
Answer:
Step-by-step explanation:
Hints: look at the last term (-64) and the middle term (-12m).
Note that 64 is the product of 4 and 16, and that -4(16) = -64 or (-16)(4) = -64. the last term of thh given expression. Furthermore, if we look at the composition of the middle term (-12m), we realize that 4 - 16 = -12 must lead towards a solution.
Focus on possible Answer 3: Here -16m + 4m = -12m (which is what we'd hoped for, matching the middle term of the given expression.
Then m^2 - 12m - 64 = (x - 16)(x + 4) (Answer 3)
the radius of the compass in 14 millimeter. what is the approximate area of the compass? (use 3.14
Answer:
the approximate area of the compass is 615.75mm2
PLZ HLP MEEEEEEEEE the A's in the Similar Postulate stand for _________.
Answer:
Angle
Step-by-step explanation:
Which number produces a rational number when added to 5/8 ?
A. 0.777....
B. 5/6
C. 0.13241536...
D. -0.625
Answer:
option c is correct
Step-by-step explanation:
please mark me brainlest
please thanks
Answer:
Step-by-step explanation:
Answer is C. 0.132
Which number line represents the solution set for the inequality 2x - 62 6(x - 2) + 8?
-15
-0.5
0
0.5
1
1.5
-1.5
-1
-0.5
0
0.5
1.5
-1.5
-1
-0.5
0
0.5
1.5
-1.5
-1.5
0
0.5
1
1.5
Answer:
2x - 6 ≥ 6(x-2) + 8
2x - 6 ≥ 6x - 12 + 8
6x - 2x ≤ - 6 + 4
4x ≤ -2
4x/4 ≤ -2/4
x ≤ -1/2
Interval Notation: (- ∞, -1/2]
The line starts from -1/2 with the arrow going to the left (decreasing). The endpoint or value from where it started, which is -1/2, should be shaded. The inequality symbol x ≤ -1/2 represents the values at most or maximum -1/2.
Step-by-step explanation:
The number line representing the solution set for the inequality given is option C.
The inequality is 2x - 6 ≥ 6(x-2) + 8,
Solving for x,
2x - 6 ≥ 6(x-2) + 8
2x - 6 ≥ 6x - 12 + 8
6x - 2x ≤ - 6 + 4
4x ≤ -2
4x/4 ≤ -2/4
x ≤ -1/2
Therefore, the Interval Notation is (- ∞, -1/2]
This means that the all the values of x will be less than -1/2 or equal to it,
Therefore, the graph will be, the line starts from -1/2 with the arrow going to the left (decreasing).
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Which of the following is a number that is used to describe how two random variables are related?
A.) Comparison coefficient
B.) variable
C.) Correlation coefficient
D.) Sigma
Which term describes the set of all possible output values for a function?
A. Range
B. Output
C. Domain
оо
D. Input
Please answer correctly !!!! Will mark brainliest answer !!!!!!!!!
Answer:
functions f(x) and g(x) share one root in common that of x=2 and each have another different root
Step-by-step explanation:
Notice that function g(x) has for roots the values x = -1 and x = 2, (these are the crossings of the x axis that you see in the graph)
On the other hand, the function f(x) has two roots that are obtained by factoring it out:
[tex]f(x)=x^2+x-6\\f(x)= x^2-2x+3x-6\\f(x)=x(x-2)\,+\,3(x-2)\\f(x)=(x-2)\,(x+3)[/tex]
Therefore it has roots at x=2 and x= -3
So functions f(x) and g(x) share one root in common that of x=2 and each have another different root
How many terms does the polynomial x² + xy y2 have?
1 term
2 terms
3 terms
4 terms
Answer:
Step-by-step explanation:
x^2 + xy + y^2 has 3 terms they are:
x^2, xy, and y^2
hope it helps
plz mark as brainliest!!!!!!!!!!
The polynomial x²+xy+y² has 3 terms. Option C is correct.
What exactly is a polynomial?A polynomial is an algebraic statement made up of variables and coefficients.
Variables are sometimes known as unknowns. We can use arithmetic operations like addition, subtraction, and so on. However, the variable is not divisible.
Given polynomial;
⇒x²+xy+y²
The three terms are as follows;
x²
xy
y²
The polynomial x²+xy+y² has 3 terms.
Hence, option C is correct.
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Find the term to term rules for the following sequences:
2, 6, 18, 54, 162
Step-by-step explanation:
U=ar^(n-1)
r=6/2=3
a=2
U=2(3)^n-1=6^n-1
what is (13X + 9k)+(17x +6k), simplified?
Answer:
(45x)
Step-by-step explanation:
(13x+9x) + (17x+6x)
(22x) + (23x)
(45x)
// have a great day //
Simplify the radical expression.
Answer:
x^4y^9, the second option.
Step-by-step explanation:
A radical sign over an expression also means the expression is to the power of 1/2. In other words, the square root of n=n^1/2
(x^8y^18)^1/2
You divide the powers by 2
x^4y^9 is the answer
Answer:
b
Step-by-step explanation:
A jar contains 4 pink, seven red, and 3 orange marbles. If you pick one without looking, what is the probability that the marble you pick will be neither pink nor red?
show work pls tnx!
Answer:
3/14
Step-by-step explanation:
There’s 14 marbles total and only 3 are orange
Which statement regarding the diagram is true?
m2WXY = m_YXZ
m2WXY < m_YZX
m2WXY + m2YXZ = 180°
m2WXY + m_XYZ = 180°
Explanation:
These two angles are a linear pair. They are supplementary (ie they add to 180) and they are adjacent. We know they are supplementary because line WXZ is a straight line. Put another way: point X is on line WZ.
-------
Side notes:
Choice A is only true if we have a 90 degree angle at point XChoice B is never true because of the remote interior angle theoremChoice D is only true if we have an isosceles triangle with XZ = YZ.The correct statement is,
⇒ m ∠WXY + m ∠YXZ = 180°
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
To find the correct statement.
Now, We can find the correct statement as;
By definition of linear pair we get;
⇒ m ∠WXY + m ∠YXZ = 180°
Thus, The correct statement is,
⇒ m ∠WXY + m ∠YXZ = 180°
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What is the value of x in the equation 3 minus 2 x = negative 1.5 x? People say the Answer is 6. What's the work to get the answer?
Answer:
6
Step-by-step explanation:
3-2x=-1.5x
3=2-1.5x
3=0.5x
X=(3÷0.5)=6
I’m stuck can someone help me thank you
Answer:
the answer may be 127.
Step-by-step explanation:when you add 90° + 37° you will get the answer 127
I am not sure.
URGENT!!!!! LAST TWO QUESTIONS!!!!!!! WILL GIVE BRANLIEST!!!AT LEAST TAKE A LOOK!!!!!! PLS HELP!!! 1. A cartographer wants to create a map of Seattle. He has designed a key/legend for the map indicating that 1 cm equals 2 miles. If the distance between Woodland Park Zoo and the Seattle Aquarium is 5.2 miles, how long is the distance going to be on the map? A) 2.6 cm B) 8.2 cm C) 6 cm D) 10.4 cm 5. What similarity property, if any, can be used to show that the following two triangles are similar. A) SAS B) SSS C) AA D) Not enough information given
Answer:
1. 5.2 / 2 = 2.6 cm
2. Since 2 angles are congruent the answer is AA.
THIS IS 1 QUESTION YEAR 9 MATHS PLEASE HELP ME
Here are five shapes.
Two of these shapes have rotational symmetry of order 2
Write down the letter of each of these two shapes.
(2 marks)