The height of the stack of shim stocks will be 6 1/4 inches.
What will be the height of the stack?A mixed number is a fraction that is made up of a whole number and a proper fraction. A proper fraction is a fraction in which the numerator is less than the denominator. An example of a mixed number is 1 3/5. A whole number is a number that is not made up of a decimal or a fraction.
In order to determine the height of the stack, multiply the width of each shim stock by the total number of pieces. Multiplication is the mathematical operation that is used to determine the product of two or more numbers. The sign used to represent multiplication is x.
Height of the stock = width of one stock x number of pieces
50 x 1/8 = 50 / 8 = 6 2/8 = 6 1/4 inches
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Jean loans Bernie $1500. Bernie agrees to pay Jean an extra $225
when he repays the loan in one year. What is the annual simple interest rate
of the loan?
The annual simple interest rate of the loan is 15% on the premise that Jean would $225 extra after 1 year
How is simple interest determined?
The simple interest whose dollar is $225 on the loan is the principal of $1500 multiplied by the interest rate which is unknown, can be assumed to be R, multiplied as well as the period of loan, I mean how long it takes for the loan to be repaid, which is one year as indicated by the below simple interest rate formula:
I=PRT
I=interest amount in dollars=$225
P=loan amount=$1,500
R=interest rate=unknown
T=period of loan=1 year
$225=$1500*R*1
$225=$1500*R
R=$225/$1500
R=15.00%
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If m∠3 = 4x + 10 and m∠4 = 5x, find x.
The value of x is 10.
Given m∠3 = 4x+10 and m∠4 = 5x
Now, we need to determine what value of x it is.
We know that in quadrilateral four angles are there in that two angles are equal it is said to be as Rhombus.
Two angles are given in this question. We assume those are equal angles.
∴ m∠3 = m∠4
By substituting the values of two angles, we get
4x+10 = 5x
By deducting '4x' on both sides, we get
4x+10-4x = 5x - 4x
10 = x
∴ x = 10
The final value for x is 10.
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what the mean of 1,3,5,5, 1, 3, 0, 0, 5
1+3+5+5+1+3+5+0+0
4+5+5+1+3+5
9+5+1+3+5
14+1+3+5
15+3+5
18+5
23
23/9
the mean is 2 and 5/9
Solve the equation, 13|x−8|=10. Select each correct answer. Responses x=−30 x equals negative 30 x=−22 x equals negative 22 x=103 x equals 10 over 3 x = 8 x, = 8 x = 30 x, = 30 x = 38
Answer:
94/13, 114/13
Step-by-step explanation:
[tex]13|x-8|=10 \\ \\ |x-8|=\frac{10}{13} \\ \\ x-8=\pm \frac{10}{13} \\ \\ x=8 \pm \frac{10}{13} \\ \\ =\frac{94}{13}, \frac{114}{13}[/tex]
A turtle was swimming 2 feet below the surface of a pond. While looking for food, he went down 7 more feet
There is a pair of parallel sides in the following shape.
What is the area of the shape?
If there is a pair of parallel sides in the following shape. the area of the shape is: 21 unit².
Area of the shapeUsing this formula to determine or find the area of the shape
Area = (1/2)× (Area+ breadth )height
Where:
Area= 9
Breadth= 5
Height = 3
Now Let plug in the formula so as to find the area
Area of the shape = (1/2)× (9 + 5) ×3
Area of the shape = (1/2)× (14)×3
Area of the shape = (1/2)× 42
Area of the shape= 21 unit²
Therefore If there is a pair of parallel sides in the following shape. the area of the shape is: 21 unit².
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What is the horizontal asymptote of f(x)=-2x/x+1
O y = -2
O y = -1
O y = 0
O y = 1
-2x
X+1?
The horizontal asymptote of the given function f(x) is y = –2.
What is defined as the horizontal asymptote?A horizontal asymptote is a straight line that is not part of a function's graph but guides it for x-values. "far" to a right and/or left.If a numerator and denominator have the same degree, this same horizontal asymptote is simply the fraction from the coefficient of their leading term.The numerator does have a degree one, and so does the denominator.
The foremost term in the numerator has a coefficient of -2.
In the denominator, the coefficient again for leading term is 1.
At y = -2/1, the horizontal asymptote exists.
Thus, the horizontal asymptote of the function is found as -2.
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A copy machine makes 91 copies in 3 minutes and 15 seconds. How many copies does it make per minute?
copies per minute
X
5
Need Help
Apples cost $2/lb but 15 apples cost $4. How many pounds does an apple weigh?
A 2/15
B 15/2
C 1/15
D 1/30
E 15
Well, you start out by recognizing that 4/5ths of an ounce equals 1/5 of the apples weight. Therefore, you must multiply 4/5 by 5 to get the whole of the Apple. (1/5*5).
So, this is the lines,
4/5*5= 20/5, or 4 ounce
Another way, is with decimals, so
0.8*5=4.0
-6(w +5 ) +9<-51
Solve the inequality
Answer:
w>5
Step-by-step explanation:
Go onto symbolab it's a website good for solving math problems like this
Solve for x.
6/9=x/12
Simplify as much as possible
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Find common denominators :)
6/9
Divide by 4 (the common factor of 9 and 12)
2/3
Multiply by 4
8/12
8/12 = 8/12
Now, simplify.
2/3
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Have a great day/night! :)
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[ne
How many solutions for x does the following equation have?
(6x + 6) = 4x + 4
O A. 0
OB. 1
O C. infinite
OD. 4
Help me Geometry!!!!!!!
Answer:
x=5
Step-by-step explanation:
USE=UST+EST
180=UST+22x+3 ==> USE is a straight line, and straight lines measure 180 degrees and are called straight angles.
UST+6x+4+79=180 ==> 180 is the sum of all three angles in a triangle
UST+22x+3=UST+6x+4+79 ==> they both equal 180
22x+3=6x+4+79 ==> subtract UST on both sides
22x+3=6x+83
22x+3-3=6x+83-3
22x=6x+80
22x-6x=6x-6x+80
16x=80
x=80/16
x=5
may anyone help me with these
Step-by-step explanation:
we have 3 gears meshed with the following teeth . A-20 , B -50 , C -30 . another set of gears have the following teeth . X -20 , y- 25 , Z -30 . Assuming gears A and X are Running at the same rpm . which statement is correct ?
Biff earned $45 working at Happy Days Drive-In. He spent 1/3 of the money on gas for his car and 1/5 of it on flowers . How much money does he have left
Biff has $12 left out of the money
How to calculate the amount of money left ?Biff earned $45 at happy days drive-in
He spent 1/3 of the money on gas
He also spent 1/5 of the money flowers
The money he has left can be calculated as follows
45 × {1-(1/3+1/5)}
= 45× (1-8/15)
= 45 × 7/15
= 3 × 7
= 21
Hence Biff has $12 left
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The leg of a right triangle is 8 ft in length while
the hypotenuse is 15 ft in length. Find the missing
side of the triangle. Write the answer in simplified
radical form
Answer:
[tex]\sqrt{161}[/tex] ft
Step-by-step explanation:
According to the pythagorean theorem, in a right-angle triangle, the sum of of the squared legs is equal to the hypotenuse squared.
In simpler words, if we have legs [tex]a[/tex] and [tex]b[/tex], as well as hypotenuse [tex]c[/tex], then [tex]a^2 + b^2 = c^2[/tex].
In our case, we know that [tex]a = 8[/tex] and [tex]c = 15[/tex], therefore, we should try and find b.
[tex]8^2 + b^2 = 15^2\\\to 64 + b^2 = 225 \text{ // Subtract by 64}\\\to b^2 = 161 \text{ // Take the square root of both sides}\\\to b = \sqrt{161}[/tex]
How to find the slope intercept form of the line that passes through (-4,1) and perpendicular to y = 2x - 3
Hope this helps, make sure to follow me! <3
HELP ASAP!!! Which of the following pairs of triangles can be proven congruent by ASA?
Answer:
Answer A
All of them can be proven congruent, but the only one which can be proved with ASA is answer A, sicne there are 2 angles.
the graph shows two points from the table representing a proportional relationship. Which point corresponds to the last entry in the table?
Answer:
Step-by-step explanation: second point correspond to the last entry in the table
I need help with 4 and 5
4. The two triangles are similar by virtue of the AAA triangle congruence theorem as a result of the corresponding angles which have equal measures.
5. The length of segment CE to the nearest tenth is; 46.7 in.
What is the length of segment CE as required in the task content?4. The ∆CBD and ∆CAE are similar (congruent) following the fact that angle C is common to both triangles and the angles A and E have equal measures as E and D respectively by virtue of corresponding angles theorem. Ultimately, the two triangles; ∆CBD and ∆CAE are congruent since all three angle measures are the same in the triangles.
The corresponding angles in discuss is due to the fact that the lines ED and AE are parallel lines.
5. Also, upon establishing the congruence of the two triangles, it follows that the ratio of their corresponding sides is same for all three sides.
Therefore, we can establish that;
BD/AE = CD/CE
6/14 = 20/CE
CE = (14 × 20)/6
CE = 140/3
CE = 46.667 in.
Ultimately, the length of segment CE to the nearest tenth is; 46.7 in.
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Please answer asap
is -√49 a rational number
from the knowledge of square and square root of numbers√49=7
-√49
-√7^2
-7
h(x) = 3x - 5, find h(-2).
Answer:
h= 3x/x −5
Step-by-step explanation:
hx=3x−5
Step 1: Divide both sides by x.
hx/x = 3x/x −5
h= 3x/x −5
x
Answer:
h= 3x/x −5
Look for acute, obtuse, and right angles in your environment or find one of each online. Post an image of each. Can you find all three in one spot?
Identify the acute, obtuse, and right angles in your image or images.
Answer: Acute angles measure less than 90 degrees. Right angles measure 90 degrees. Obtuse angles measure more than 90 degrees.
Step-by-step explanation:
A square window has an area of 9 square feet. What is the perimeter of the window?
Answer:
12
Step-by-step explanation:
Which translation(s) will take Triangle T to Triangle U? Explain your answer
For Triangle T to translate Triangle U
1. Translate (-3, 0) to (1, 2).
2. Translate (-2, -1) to (2, 1) .
3. Translate (-4, -3) to (0, -1).
Options A and C
This is further explained below.
What is translation?Generally, A translation is a kind of geometric transformation that is used in Euclidean geometry. This type of transformation involves moving each point of a figure, shape, or space by the same distance in a certain direction.
In conclusion, for Triangle T to translate Triangle U
1. Translate (-3, 0) to (1, 2).
2. Translate (-2, -1) to (2, 1) .
3. Translate (-4, -3) to (0, -1).
Therefore, Options A and C are valid
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An angle measures 124° less than the measure of its supplementary angle. What is the
measure of each angle?
Answer:
56°
Step-by-step explanation:
Supplementary angles are = to 180° so you have to subtract 124 from 180 which gives you 56°
:52:26 ATI
f(x) =
wer.
-(x+8)² + 4 for
for
Find f(-5)
x < -5
x ≥ 3
The value of f(-5) when we solve the function f(x) is -5.
What does the mathematical function mean?A function is a statement, tenet, or rule that creates a correlation between two variables. In mathematics, functions are used often and are required to build complicated connections.
A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
The function can be solved as:
[tex]f(x) = -(x+8)^{2} +4[/tex]
[tex]=-(-5+8)^{2}+4[/tex]
[tex]=-(3)^{2}+4[/tex]
[tex]=-9+4[/tex]
[tex]=-5[/tex]
Hence, f(-5) = -5
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Will mark brainliest 20 points
Answer:
see image
Step-by-step explanation:
Use distributive property to multiply.
Multiply the numbers together. To multiply variables, add the exponents (for same variables, x's and x's, also y's and y's)
Keep the minus sign and the plus sign in place. See image.
HELP PLEASE? THE PICTURE IS ATTACHED FOR ANYONE THAT WANTS TO HELP, I’D APPRECIATE IF SOMEONE HELP ME ANSWER THIS
Answer:
$32.00
Step-by-step explanation:
The easiest way of calculating discount is, in this case, to multiply the normal price $80 by 40 then divide it by one hundred. So, the discount is equal to $32. To calculate the sales price, simply deduct the discount of $32 from the original price $80 then get $48 as the sales price.
HELP PLEASE? THE PICTURE IS ATTACHED FOR ANYONE THAT WANTS TO HELP, I’D APPRECIATE IF SOMEONE HELP ME ANSWER THIS
Answer:
40% Of 80 is 32
the area A of a rectectangle is represented by the formula A=Lw where I is the length and W is the width. write an equation that would make it easy to find the length of the rectangle
Answer: L=A/W
Step-by-step explanation: If you do this then you will find the length because L x W = A. So if the area is determined by l and w then you could divide A by the width to find the length because you multiply length and width to find the area