Answer: D, 18 inches
This is a very simple question, what they are requiring of you is to just find the length if it is longer than the width by 3 inches. In the question it mentions that the width is 15 inches long ,so, all you have to do is add 3 to 15 and you get 18 inches.
Answer:
12
Step-by-step explanation:
Don't listen to this fool
what is the decimal for -1 1/2
Answer:
[tex]\large \boxed{\mathrm{-1.5}}[/tex]
Step-by-step explanation:
-1 1/2
1 over 2 is one half or 0.5
-1+0.5 = -1.5
Answer:
[tex] \boxed{\red{\bold{- 1.5}}}[/tex]
Step-by-step explanation:
[tex] - 1 \frac{1}{2} = - \frac{3}{2} \\ - \frac{ 3}{2} \frac{ \times 5}{ \times 5} \\ = - \frac{ 15}{10} = - 1.5[/tex]
hope this helps you.
will give the brainliest!
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Consider the expression (Ex+6) – 3x
What is the value of the expression evaluated for x =
12?
0-26
0-25
12
46
Answer:
-26
Step-by-step explanation:
[tex]\frac{5}{6}( \frac{1}{2}x+5) - 3x[/tex]
= [tex]\frac{5}{6}( \frac{1}{2}*12+5) - (3*12)\\[/tex]
= -26
For the following, write an equivalent expression in standard form: (5x2 + 6x - 2) + 4x (3x – 7).
the 2 for the 5 x is an exponent
Answer:
17x^2 -22x -2
Step-by-step explanation:
5x^2 +6x -2 +4x (3x-7)5x^2 +6x -2 +12x^2 -28x17x^2 +6x -2 -28xAnswer: 17x^2 -22x -2Just so you know when I put (^) the number after it is a exponent.
How to solve this equation?
f(x)=5-x²
Answer:
[tex]x=\sqrt5\text{ and } x=-\sqrt5[/tex]
Step-by-step explanation:
To solve for the 0s of a function, set the function to 0 and solve for the x. Therefore:
[tex]f(x)=5-x^2[/tex]
Set f(x) to 0:
[tex]0=5-x^2[/tex]
Add x^2 to both sides:
[tex]x^2=5[/tex]
Take the square root of both sides:
[tex]x=\pm\sqrt{5}[/tex]
So, our solutions are:
[tex]x=\sqrt5\text{ and } x=-\sqrt5[/tex]
[tex]2 \times 2[/tex]
The base of a parallelogram is thrice its height. If the area is 897 sq.cm. Find the base and the height of parallelogram.
Answer:
[tex] \boxed{ \bold{ { \sf{height \: = \: 17.29 \: cm}}}}[/tex]
[tex] \boxed{ \bold{ \sf{base = 51.87 \: cm}}}[/tex]
Step-by-step explanation:
Let the height of a parallelogram be 'x'
Base of a parallelogram be 3x
Area of a parallelogram ( A ) = 897 cm²
Base ( b ) = ?
Height ( h ) = ?
First, finding the height of a parallelogram ( x )
[tex]\bold{ \boxed{ \sf{area \: of \: a \: parallelogram \: = \: base \: \times \: height}}}[/tex]
[tex] \dashrightarrow{ \sf897 = 3x \times x}[/tex]
[tex] \dashrightarrow{ \sf{897 = 3 {x}^{2} }}[/tex]
[tex] \dashrightarrow{ \sf{3 {x}^{2} = 897}}[/tex]
[tex] \dashrightarrow { \sf{ \frac{3 {x}^{2} }{3} = \frac{897}{3} }}[/tex]
[tex] \dashrightarrow{ \sf{ {x}^{2} = 299}}[/tex]
[tex] \dashrightarrow{ \sf{x = \sqrt{299} }}[/tex]
[tex] \dashrightarrow{ \sf{x = 17.29}}[/tex]
Height of a parallelogram = 17.29 cm
Finding the base of the parallelogram
[tex] \sf{base \: of \ \: a \: parallelogram = 3x}[/tex]
⇒[tex] \sf{base \: of \: a \: parallelogram = \: 3 \times 17.29}[/tex]
⇒[tex] \sf{base \: of \: a \: parallelogram = 51.87 \: cm}[/tex]
Base of a parallelogram = 51.87 cm
Hope I helped!
Best regards! :D
Find the area of the triangle with A=60º b=11ft and c=8ft
Answer:
38.105
Step-by-step explanation:
The area of this triangle = 0.5 * b * c * sin(A)
= 0.5 * 11 * 8 *sin(60) sin(60) = [tex]\sqrt{3} /2[/tex] = .866025...
= 0.5 * 11 * 8 * .866025
= 38.105
Answer:
23.42
Step-by-step explanation:
because b was 11 making it the base
and c was 8 making it the side
you have to convert the 60degrees into ft
Imran deposited 3000 per month (at the start of month) into a saving account for 10 months. If the bank offer 6% interest compounded monthly , the total amount imran would have saved at the end of three year would be.
Answer:
3.590.04
Step-by-step explanation:
The formula given for total amount saved when compounding interest =
A = P(1 + r/n)^nt
Where
A = Total amount saved after t years
P = Principal or initial amount saved
r = Interest rate
n = compounding frequency
t = time in years
From the above question
P = 3000
r =6% = 0.06
n =compounded monthly = 12
t = 3 years
Hence,
A = 3000(1 + 0.06/12)^3 × 12
A = 3000(1 + 0.06/12)^36
A = 3,590.04
Therefore, the total amount Imran will have in his account after 3 years = 3,590.04
What is the difference between formal and informal geometry
Answer:
There is a sub-field of geometry called formal geometry which is related to algebraic geometry and deals with topics such as formal schemes , topological rings , the comparison theorem in algebraic geometry , the Grothendieck existence theorem.
Informal geometry have the topics of definitions, measurements, and constructions of geometric shapes and figures. No attention to formal proofs is given. Subtopics include points, lines, angles, triangles, quadrilaterals, circles, area, and perimeter.
Step-by-step explanation:
solve the equations for all values of x by completing the square x^2+62=-16x
Answer:
[tex]x = \sqrt{2} - 8\\x = -\sqrt{2} - 8[/tex]
Step-by-step explanation:
To complete the square, we first have to get our equation into [tex]ax^2 + bx = c[/tex] form.
First we add 16x to both sides:
[tex]x^2 + 16x + 62 = 0[/tex]
And now we subtract 62 from both sides.
[tex]x^2 + 16x = -62[/tex]
We now have to add [tex](\frac{b}{2})^2[/tex] to both sides of the equation. b is 16, so this value becomes [tex](16\div2)^2 = 8^2 = 64[/tex].
[tex]x^2 + 16x + 64 = -62+64[/tex]
We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because [tex]8\cdot8=64[/tex] and [tex]8+8=16[/tex].
[tex](x+8)^2 = -62 + 64[/tex]
We can now take the square root of both sides.
[tex]x+8 = \sqrt{-62+64}\\\\ x+8 = \pm \sqrt{2}[/tex]
We can now isolate x on one side by subtracting 8 from both sides.
[tex]x = \pm\sqrt{2} - 8[/tex]
So our solutions are
[tex]x = \sqrt{2} - 8\\x = -\sqrt{2} - 8[/tex]
Hope this helped!
ANSWER ****CORRECTLY**** FOR 20 POINTS + BRAINLIEST!
The double number line below shows the approximate number of kilograms in a certain number of pounds. Based on the number line, about how many kilograms are there in 17 pounds?
A. 8.50
B. 9.50
C. 10.00
D. 11.00
Answer:
a. 8.50
Step-by-step explanation:
each pound is 2 kilogram
What is the slope of the line that passes through the points (-6, -7)(−6,−7) and (-24, -7) ?(−24,−7)? Write your answer in simplest form.
Answer: 0
Step-by-step explanation: since it’s 2 negatives it will lead up too 0 and it can’t be undefined
The slope of the given points is -17.
What is slope?The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points.
Given that, a slope passes through two points (-6, -7) and (-24, -7)
Slope = (y2-y1)/(x2-x1)
= (-24+7)/(-7+6)
= -17
Hence, the slope is -17.
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Find an
expression which represents the sum of (-3x – 4y) and (x + 3y) in
simplest terms.
Answer:
-2x-y
Step-by-step explanation:
The expression that represents the sum of (-3x - 4y) and (x + 3y) in simplest terms is -2x - y by combining like terms.
To simplify the expression, follow these steps:
Distribute the negative sign: Multiply the terms inside the parentheses by -1 to distribute the negative sign.
[tex]-3x - 4y + x + 3y[/tex]
Group the like terms: Combine the terms with the same variable.
In this case, -3x and x, as well as -4y and 3y.
[tex](-3x + x) + (-4y + 3y)[/tex]
Combine the x terms: -3x + x equals -2x.
[tex]-2x + (-4y + 3y)[/tex]
Combine the y terms: [tex]-4y + 3y[/tex] equals -y.
[tex]-2x - y[/tex]
Therefore, the simplest form of the expression is [tex]-2x - y[/tex].
In summary, the expression [tex](-3x - 4y) + (x + 3y)[/tex] simplifies to [tex]-2x - y[/tex].
Learn more about like terms here:
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Which of these is not a scalar quantity A) time B) temperature c) velocity D) mass
Answer:
Hey there!
Velocity is a vector, not a scalar because it also has direction.
Let me know if this helps :)
Answer:
Velocity because it has direction
How to prove it equal 8?
Answer:
The answer equals -8
Step-by-step explanation:
Order of Operations: BPEMDAS
FOIL - First, Outside, Inside, Last
Step 1: Write out expression
[tex](\sqrt{4-3i} -\sqrt{4+3i})^6[/tex]
Step 2: Expand
[tex](\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})[/tex]
Step 3: FOIL first 2
[tex](\sqrt{4-3i} -\sqrt{4+3i})^2 = -2[/tex]
Step 4: Replace square roots with -2
-2(-2)(-2) = (-2)³ = 8
Classify the number -1/3.
Answer:
Step-by-step explanation:
This number is real, negative and rational.
PLEASE GUYS, I NEED HELP
Q1. What is the simplified form of 5(x-3y)+4(4y-x)-2(x-y)?
Q2. What is the solution set of 3-2[x+2]=6?
Q3. Which of the following is true about the row data given below 4, 7, 8, 4 and 1?
A. The median is 6
B. The mean is equal to the median
C. The mode is equal to the median
D. The range is 8
Q4. Which of the following is the slope of the line passing through the points A(1-a,b+1) and B(1+a,1-b)?
[tex] a. \: \frac{1 - b}{1 + a} \\ \\ b. \: \: \frac{b + 2}{a - 2} \\ \\ c. \: \: \: \frac{b}{a} \\ \\ d. \: \frac{ - b}{a } [/tex]
Answer:
see explanation
Step-by-step explanation:
(1)
5(x - 3y) + 4(4y - x) - 2(x - y) ← distribute all 3 parenthesis
= 5x - 15y + 16y - 4x - 2x + 2y ← collect like terms
= 3y - x
(2)
3 - 2(x + 2) = 6 ( subtract 3 from both sides )
- 2(x + 2) = 3 ( divide both sides by - 2 )
x + 2 = - 1.5 ( subtract 2 from both sides )
x = - 3.5
solution set = { - 3.5 }
(3)
The median is the middle value of the data in ascending order
1 4 4 7 8 ← in ascending order
↑ median = 4
The mean is the sum of the values divided by the count
mean = [tex]\frac{1+4+4+7+8}{5}[/tex] = [tex]\frac{24}{5}[/tex] = 4.8
The mode is the value which occurs most often
mode = 4
Thus the mode is equal to the median → C
(4)
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (A(1 - a, b + 1 ) and (x₂, y₂ ) = B(1 + a, 1 - b )
m = [tex]\frac{1-b-(b+1)}{1+a-(1-a)}[/tex]
= [tex]\frac{1-b-b-1}{1+a-1+a}[/tex]
= [tex]\frac{-2b}{2a}[/tex] ( cancel 2 on numerator/ denominator )
= [tex]\frac{-b}{a}[/tex] → d
Answer:
d
Step-by-step explanation:
the sum of 25 and z
Answer:
25+z
Step-by-step explanation
the sum is adding them?
The sum of the number 25 and the letter will be (25 + z).
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The sum of the number 25 and the letter is given by putting the plus sign between the number 25 and the letter z. Then the expression will be
⇒ (25 + z)
The sum of the number 25 and the letter will be (25 + z).
More about the Algebra link is given below.
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solve this equation 7 + x = - 13
Answer:
x = -20
Step-by-step explanation:
7 + x = -13
(subtract 7 from both sides)
x = -20
Answer:
x=-20................
Stanley drives her scooter 6 kilometres South. He stops for lunch and then drives 3 kilometres east. What distance did he cover? What was his displacement?
Answer:
a) What distance did he cover?
9 km
b) What was his displacement?
6.71kmSE
Step-by-step explanation:
a) What distance did he cover?
Total distance covered = 6km south + 3km east = 9km
b) What was his displacement?
Displacement =√( 6km)² + (3km)²
=√ 36 + 9
= √45
= 6.7082039325kmSE(SouthEast)
Approximately = 6.71kmSE
What is the value of the expression – 57 - (-13 +33)?
-102
А
B
-3
с C
0 h
D
-73
Answer:
-77
Step-by-step explanation:
-57-(-13+33)
=-57-20
=-77
\sqrt{2a}\cdot \sqrt{14a^3}\cdot \sqrt{5a} sorry couldnt put in the actually signs
Answer:
5
Step-by-step explanation:
Answer:
2a^2\sqrt{35a}
Step-by-step explanation:
I hope this helped
You earn $2,323 per month after taxes. Your monthly bills are as follows….Rent $870, food $754, child care $961, car $607 and taxes $242. How much must you earn in order to pay all of your bills? A.$3460 B.$4267 C.$4362 B.$3434
Answer: The answer would be d. 3434
Step-by-step explanation:
What is the diameter of a tire in inches given the following data: P265/90R22 (25.4mm/ inch) a) 499 inches b) none of the other choices c) 31.39 d) 40.78 inches
Answer:
d) 40.78 inches
Step-by-step explanation:
See attached for details
in the equation y= -2x -3 over 5, identify the slope, the y-intercept, and whether the line is rising, falling, horizontal, or vertical
(Select three that apply)
A. Slope = -3/5
B. Slope = 3/5
C. Slope = 2
D. Slope = -2
E. Y-intercept = 3/5
F. Y-intercept = -3/5
G. Y-intercept = 2
H. Y-intercept = -2
I. Rising
J. Falling
K. Horizontal
I. Vertical
Answer:
Slope = -2
y-intercept = -3/5
Falling
Step-by-step explanation:
[tex]y= -2x - \frac{3}{5} \\ y = mx + b[/tex]
m = Slope = -2
y-intercept = b =
[tex] - \frac{3}{5} [/tex]
The slope of the equation has a negative number so the graph is falling
Pablo debe ordenar 350 sillas de un salón en filas y columnas. Cada fila tendrá 20 sillas. ¿Cuántas filas completas podrá formar? ¿Quedará alguna fila incompleta?, ¿con cuantas sillas? ¿Cómo representarías con una división el proceso?
Answer:
¿Cuántas filas completas podrá formar? 17 filas¿Quedará alguna fila incompleta? Si ¿Con cuantas sillas? 10 sillas¿Cómo representarías con una división el proceso? 350÷20= 17.5Step-by-step explanation:
La división es una operación matemática que consiste en averiguar cuántas veces un número está contenido en otro número. En otras palabras, dividir es repartir un número en grupos iguales.
En este caso, deseas repartir 350 sillas en filas, en las cuales entran 20 sillas. Entonces, para conocer cuántas filas completas podes formar haces la división: 350÷20= 17.5
Entonces, se podrán formar 17 filas completas y, al ser 17.5 un número decimal, indica que hay otra fila que quedará incompleta.
Para saber cuántas sillas tendrá la fila incompleta podes realizar el siguiente cálculo: 17 filas*20 sillas= 340, que indica que para completar las 17 filas usas un total de 340 sillas. Si tenes 350, entonces en la fila incompleta hay solo 10 sillas (obtenida mediante la operación 350-340= 10) de las 20 que debería haber, faltando otras 10 sillas para completarla.
Finalmente:
¿Cuántas filas completas podrá formar? 17 filas¿Quedará alguna fila incompleta? Si ¿Con cuantas sillas? 10 sillas¿Cómo representarías con una división el proceso? 350÷20= 17.5Find the number by which 4732 should be divided to get perfect square.
Answer:
The required number is 7.
Dividing by this gives the perfect square 676.
Step-by-step explanation:
Finding the prime factors:
2) 4732
2) 2366
7) 1183
13)169
13
So 4372
= 2^2 * 7 * 13^2
= 4 *169 * 7
= 676 * 7
Now 676 is a perfect square so the answer is 7.
= 1283 * 4.
Answer is 1283.
5(x^3)^2(-2x^4)^-3
Simplify and write with positive exponents
Answer:
Step-by-step explanation:
Evaluate 2 sin 60° + tan 45° + cos²60°
Answer:
1.25+√3 or 2.9821 to the nearest ten thousandth.
Step-by-step explanation:
sin 60 = √3/2, tan 45 = 1 and cos^2 60 = (1/2)^2 = 1/4
So we get 2 *√3/2 + 1 + 1/4
= √3 + 1.25
Answer:
[tex] \boxed{\sf 2sin \: 60 ^{ \circ} + tan \: 45^{ \circ} + {cos}^{2} \ 60^{\circ} = 2.98} [/tex]
Step-by-step explanation:
We know:
[tex] \sf sin \: 60 ^{ \circ} = \frac{ \sqrt{3} }{2} \\ \\ \sf tan \: 45 ^{ \circ} = 1 \\ \\ \sf cos \: 60 ^{ \circ} = \frac{1}{2} [/tex]
So,
[tex] \sf \implies 2sin \: 60 ^{ \circ} + tan \: 45^{ \circ} + {cos}^{2} \: 60^{ \circ} \\ \\ \sf \implies \cancel{2} \times \frac{ \sqrt{3} }{ \cancel{2}} + 1 + {( \frac{1}{2}) }^{2} \\ \\ \sf \implies \sqrt{3} + 1 + {( \frac{1}{2}) }^{2} \\ \\ \sf \implies \sqrt{3} + 1 + \frac{1}{4} \\ \\ \sf \implies \sqrt{3} + 1 + 0.25 \\ \\ \sf \implies 1.25 + \sqrt{3} \\ \\ \sf \implies 1.25 + 1.73 \\ \\ \sf \implies 2.98[/tex]
An emu that measures 22 inches long in height is 14 inches less than two times the height of a stuffed canary. What is the height of the stuffed canary?
4 inches
Step-by-step explanation:e - 14 = 2c
22 - 14 = 2c
2c = 8
c = 8 : 2
c = 4 in
Answer:
[tex]\Huge \boxed{\mathrm{18 \ inches}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
Let the height of the emu be [tex]e[/tex].
Let the height of the stuffed canary be [tex]s[/tex].
[tex]e=22[/tex]
[tex]e=2s-14[/tex]
Substitution method.
[tex]22=2s-14[/tex]
Solving for the height of the stuffed canary.
Adding 14 to both sides.
[tex]36=2s[/tex]
Dividing both sides by 2.
[tex]18=s[/tex]
The height of the stuffed canary is 18 inches long.
[tex]\rule[225]{225}{2}[/tex]