Answer:
8 and 3 are the length and the width
Step-by-step explanation:
3
Jada cuts an 11 inch strip of paper into 5 equal parts. How many inches long is each part?
Answer:
2.2 inches
Step-by-step explanation:
because the question says divided equal parts you can simply divide 11 by 5
11inches/5eaqual parts
11/5 = 2.2
Each part is 2.2 inch in length.
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Total length of strip = 11 inch
Now, the strip is cuts into 5 equal parts.
So, the length of each part is
=11/5
=2.2 inch
Hence, the each part is 2.2 inch in length.
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How many ounces of pure acid should be added to 300 ounces of 12% acid solution to produce a solution that is 25%?
Answer:
52 ounces
Step-by-step explanation:
You want the number of ounces of pure acid to be added to 300 ounces of 12% acid solution to produce a solution that is 25%.
SetupLet x represent the number of ounces of acid added. Then the amount of acid in the desired solution is ...
12%(300) +100%(x) = 25%(300 +x)
Solution stepsSubtracting (25%(x) +12%(300)) from both sides, we get ...
75%(x) = 13%(300)
Dividing by the coefficient of x, we find ...
x = (13)(300)/75 = 52
52 ounces of pure acid should be added to make a 25% acid solution.
__
Additional comment
In the original solution, there are 12%(300) = 36 ounces of acid. In the 352 ounces of final solution, there will be 36+52 = 88 ounces of acid, a proportion of 88/352 = 1/4 = 25%.
PLEASE HELP DUE TOMORROWW
Rewrite the following statement using a number in scientific notation.
My new music player has a capacity of gigabytes 400. (Recall that giga means billion.)
My new music player has a capacity of _ enter your response here bytes.
(Use scientific notation. Use the multiplication symbol in the math palette as needed.)
4 x 10¹¹
Scientific notation is a way to present extremely large or extremely small numbers in a more understandable way. We are aware that full numbers can go on forever, but we are unable to write such enormous figures on paper. Additionally, a simpler method of representation was required for the numbers that appear at the millions place after the decimal. This makes it challenging to represent a small number of integers in their enlarged form. We therefore employ scientific notations.
400 billion in scientific notation = 4 x 10¹¹
We can complete the sentence as,
My new music player has a capacity of 4 x 10¹¹
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You save $15 each month to buy a tablet that
Cost $184.99. Describe the number of monins
gou need to save to buy the tablet.
Answer:
13
Step-by-step explanation:
........................
Please help!! It’s due today!!
Answer:
A to B: 4
B to A: 1/4
A bowl weighs 11/40 pound.
a. Express this weight as a decimal.
b. Explain how you can find the decimal by thinking of the denominator as a 4 and using mental math.
The weight as a decimal will be 0.275.
The way to fins the decimal using mental maths is to believe that it's 1/4.
How to compute the value?It should be noted that the information given is that we should convert 11/40 t decimal.
This simply means to divide and the answer is 0.275.
Also, the way to find the decimal using mental maths is to believe that it's 1/4.
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Bennett is setting up a light display for a wedding with two 10-foot strands of lights. The lights will be attached to the top of a pole and to two stakes on the ground forming two right triangles. If the distance from the base of the pole to each stake is the same as the height of the pole, how tall, in feet, should the pole be? Round your answer to the nearest tenth.
The height of the pole is 7.1 feet.
Given that a light display for a wedding with two 10-foot strands of lights and top of a pole and to two stakes on the ground forming two right triangles.
The Pythagorean theorem, also known as the Pythagoras theorem, explains the relationship between the three sides of a right triangle.
The two sides of triangle are equal that is x and and the third side is 10.
Now, we will apply the pythagoras theorem, we get
B²+P²=H²
Here B=P+x and H=10
x²+x²=(10)²
2x²=100
Now, we will divide both sides with 2, we get
2x²/2=100/2
x²=50
Now, we will take square root on both sides, we get
√x²=√50
x=√50
x=7.07106781
The Round to the nearest tenth is x=7.1 feet.
Hence, the height of the pole when wedding with two 10-foot strands of lights and the lights will be attached to the top of a pole and to two stakes on the ground forming two right triangles is 7.1 feet.
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At the local farmer’s market, peaches are on sale for $2.56 per pound, watermelons are on sale for $3.25 per pound and mangos are on sale for $2.75 per pound. Trevor wants to buy 1 pound of peaches, his watermelon weighs 3 pounds, and he wants to buy 4 pounds of mangos. How much will Trevor spend rounded to the nearest dollar?
Trevor spent $23.31
How to calculate the amount spent ?Peaches are sold at $2.56 per pound
Watermelons are sold at $3.25 per pound
Mangos are sold at $2.75 per pound
Trevor bought 1 pound of peaches
3 pounds of watermelon= 3 × 3.25
= 9.75
4 pounds of mangos= 4 × 2.75
= 11
The total amount spent is
= 11 + 9.75 + 2.56
= 23.31
Hence Trevor spent $23.31
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Solving systems by substitution
y=x+3
2x-2y = -6
Answer:
All Real Numbers
Step-by-step explanation:
Hello!
We have to find the intersection of the two lines algebraically using substitution.
Given that y is x + 3, substitute x + 3 for y in the second equation to solve for x.
Solve for x2x - 2y = -6; y = x + 32x - 2(x + 3) = -62x - 2x - 6 = -6-6 = -6The solution for x is all real numbers, indicating that the solution to the system is also all real numbers.
What does this mean graphically?A solution to the system is the point of intersection from all the lines.
If there are infinite solutions (all real numbers), there are an infinite number of intersections, or they are the same line.
Solving for y in the second equation:
2x - 2y = -6-2y = -2x - 6y = x + 3Both equations are the same.
find the total amount and total interest after eight months if the interest is compounded every four months
The total amount is $ 6050, and the total interest after 8 months is $1050.
What is interest?
Interest is the financial charge for the honor of adopting a plutocrat, generally expressed as a periodic chance rate( APR).Interest is the quantum of plutocrat a lender or fiscal institution receives for advancing out money. However, you do it in order to achieve that result or maintain that situation, If you do commodity in the interests of a particular result or situation. There are basically three(3) main types of interest rates the nominal interest rate, the effective rate, and the real interest rate. The nominal interest of a (one) investment or loan is simply the stated rate on which interest payments are calculated.Here,
Period per year = 124 = 3
Total amount = amount (1 + periodic rate)period
= $6,050
Total interest = Total amount - amount
= 6050 - 5000
= $1,050
Thus,
The total amount is $ 6050, and the total interest after 8 months is $1050.
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-4(2x+5)-3x=35 please help ASAP. solve for x
Answer:
-5
Step-by-step explanation:
For the following equation, find three ordered pair solutions by completing the table. Then use the ordered pairs to graph the equation.
y = - 4x + 8
The graph of the linear equation can be seen in the image below.
How to complete the table?
Here we have the linear equation:
y = -4x + 8
And we want to find 3 ordered pairs, to do so, we need to evaluate x in different values.
if x = 0 then:
y = -4*0 + 8 = 8
So we have the ordered pair (0, 8).
if x = 1 then:
y = -4*1 + 8 = 4
Then we have the ordered pair (1, 4)
If x = 2 then:
y = -4*2 + 8 = 0
Then we have the ordered pair (2, 0).
Now that we have these 3 ordered pairs, we can graph them in a coordinate axis and then connect them with a line, we will get something like the graph below.
That is the graph of our linear equation:
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Evaluate 2^x+5 when x=4
Answer:
=21
Step-by-step explanation:
2^4 equals 16, add 5 and its 21
2x2x2x2
\/
4x2x2
\/
8x2=16
Step-by-step explanation:
f(x) = 2^x + 5 OR f(x) = 2^(x + 5)?
f(x) = 2^x + 5 , x = 4
f(4) = 2⁴ + 5
= 16 + 5
= 21
f(x) = 2^(x + 5) , x = 4
f(4) = 2^(4 + 5)
= 2⁹
= 512
What are the factors of the polynomial?
(2x+3)(x+1)
(2x−3)(x−1)
(3x+2)(x+1)
(3x−2)(x−1)
Answer:
Answer:A.)2x^2 + 5x + 3
Step-by-step explanation:
Answer:
here is my answerrrrrrrrrrrrrr
Which of these rational numbers is a repeating decimal? Type all that apply.
Answer:
- 0.347
2.153
Step-by-step explanation:
Answer:
- 0.347 and 2.153
Hope this helps :)
Explanation below.
Step-by-step explanation:
The lines on top of the decimals tell that the decimal is repeating, and both - 0.347 and 2.153 have lines so they are repeating decimals.
What is the summative product of B4=MY when B=M to the 2nd power times the Y? Explain how you got the answer.
The summative product of B⁴ + [tex]M^{y}[/tex] is; [tex]M^{8y} + M^{y}[/tex]
How to use Laws of Exponents?We are given the equation as;
B⁴ + [tex]M^{y}[/tex]
Now, we are further told that;
B = [tex]M^{2y}[/tex]
Thus, we have our original expression as;
[tex](M^{2y})^{4}[/tex] = [tex]M^{y}[/tex]
According to laws of exponents, we know that;
When multiplying like bases, the same bases are kept and we add the exponents. When raising a base with a power to another power, retain the base the same and multiply the exponents. When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.Thus; (x²)³ = x²*³ = x⁶
Applying that to our expression means we now have;
[tex]M^{8y} + M^{y}[/tex]
Thus, the summative product of B⁴ + [tex]M^{y}[/tex] is; [tex]M^{8y} + M^{y}[/tex]
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Answer:
wtfStep-by-step explanation:
An Internet store charges a base fee plus $1.50 per pound to ship items. The table shows samples of their shipping rates.
Shipping Rates
Weight of Package
(pounds)
Shipping Cost
(dollars)
2
8.00
5
12.50
7
9
18.50
10
17
30.50
Derek wants to ship items that weigh a total of 7 pounds, and Keisha wants to ship items that weigh a total of 10 pounds. How much more does Keisha pay for shipping than Derek?
Answer:
Derek needs to pay 3 more pounds
Show that the equation x³ - 3x² + 3 = 0 can be rearranged to give x = √√3x² -3
What inequality is shown by a number line that shows 12 to the right of −2?
The inequality shown by a number line which describes that 12 is to the right of -2 is; 12 > -2.
What inequality is shown by the number line that shows that 12 is to the right of 2?It follows from the task content that the inequality which represents the number line as described in the task content is to be determined
On this note, it follows that since, numbers are arranged from left to right in increasing order on the number line, then;
Since 12 is to the right of -2, the inequality which represents the situation is; 12 > -2.
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extracting the roots
Answer:
Step 1: Express the quadratic equation in standard form. Step 2: Factor the quadratic expression. Step 3: Apply the zero-product property and set each variable factor equal to 0. Step 4: Solve the resulting linear equations
The length of a bacterial cell is about 5 x 10 ^−6 m, and the length of an amoeba cell is about 3.5 x 10 ^−4 m. How many times smaller is the bacterial cell than the amoeba cell? Write the final answer in scientific notation with the correct number of significant digits.
1.4 x 10 ^1
7 x 10 ^1
143 x 10 ^1
7 x 10 ^3
Answer:7 x 10 ^1 is the right answer
Step-by-step explanation:
Hope this helps :)
There is the bacterial cell 7 × 10¹ times smaller than the amoeba cell which is the correct answer would be an option (B).
What is the Scientific Notation?Scientific Notation is a way of writing down in the easy form of very large or very small numbers.
We have been given that a bacterial cell is around 5 × 10⁻⁶ m long, while an amoeba cell is about 3.5 × 10⁻⁴ m long.
To determine the number of times smaller is the bacterial cell than the amoeba cell.
⇒ amoeba cell / bacterial cell
⇒ 3.5 × 10⁻⁴ m / 5 × 10⁻⁶ m
Apply the division operation, and we get
⇒ 0.7 × 10⁻⁴ × 10⁶
Adding the exponents of the above terms
⇒ 0.7 × 10⁻⁴⁺⁶
⇒ 0.7 × 10²
⇒ 7 × 10¹
Hence, there is the bacterial cell 7 × 10¹ times smaller than the amoeba cell.
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5 times a number is 36 less than the square of that number. Find the negative solution.
In linear equation , the negative solution is x = -4 .
What is a formula for linear equations?
A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. (b). Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.Let's assume that the number is x
Now according to the question,
When 36 is subtracted from the square of a number, the result is 5 times the number.
x² -36 = 5x
x² -5x -36 = 0
x²- 9x + 4x -36 = 0
x ( x - 9) +4( x - 9 ) = 0
(x-9) ( x + 4 ) = 0
x = 9 , -4
So the negative solution is x = -4
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Jon walked 90 feet in 13.5 seconds. What is his speed in miles per
hour? (1 mi = 5280 ft)
Round your answer to the nearest tenth.
Do not include a unit of measure with your response; provide just a
numeric answer.
6.66 feet/sec
SPEED = 90 / 13.5
= 6.66 feet/ sec
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9. Assessment Practice Which pair of
equations show you how to find 16 – 9?
A9+1 = 10, 10+5 = 15
B 9+1=10,
10+6=16
C9+2=11,
11 + 6 = 17
D 9+1 = 10, 10+9 = 19. Answers
The pair of equations show you how to find 16 – 9 is 9+1=10, 10+6=16. Therefore, option B is the correct answer.
The given numerical expression is 16-9.
What is a numerical expression?A numerical expression in mathematics can be a combination of numbers, and integers combined using mathematical operators such as addition, subtraction, multiplication, or division.
Now, the pair of equations show you how to find 16 – 9 is 9+1=10,
10+6=16
Therefore, option B is the correct answer.
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Suppose that the x-intercepts of the graph of y = f(x) are -5 and 3. . a) What are the x-intercepts of the graph of y = 7f(x)?
Answer:
[tex](-5)[/tex] and [tex]3[/tex].
Step-by-step explanation:
The [tex]x[/tex]-intercepts of a graph refer to points where the graph intersects the [tex]x\![/tex]-axis. These are [tex]x\!\![/tex] values for which [tex]f(x) = 0[/tex].
For example, since [tex]x = (-5)[/tex] is one of the [tex]x[/tex]-intercepts of [tex]y = f(x)[/tex], it must be true that [tex]f(-5) = 0[/tex]. Likewise, since [tex]3[/tex] is one of the [tex]x[/tex]-intercepts of [tex]y = f(x)\![/tex], [tex]f(3) = 0[/tex].
Since [tex]f(-5) = 0[/tex], the expression [tex]7\, f(-5)[/tex] would also evaluate to [tex]0[/tex] (that is, [tex]7\, f(-5) = (7)\, (0) = 0[/tex].) Thus, [tex]x = (-5)[/tex] would be an [tex]x[/tex]-intercept of the new graph [tex]y = 7\, f(x)[/tex].
Likewise, since [tex]f(3) = 0[/tex], [tex]7\, f(3) = (7)\, (0) = 0[/tex], such that [tex]x = 3[/tex] would also be an [tex]x[/tex]-intercept of the new graph [tex]y = 7\, f(x)[/tex].
No other points could be an [tex]x[/tex]-intercept of the new graph [tex]y = 7\, f(x)[/tex] without being an [tex]x\![/tex]-intercept of [tex]y = f(x)[/tex]. For example, assume that [tex]x = x_{0}[/tex] is an [tex]x[/tex]-intercept of [tex]y = 7\, f(x)[/tex] but not [tex]y = f(x)[/tex]. [tex]7\, f(x_{0}) = 0[/tex], such that [tex]f(x_{0}) = (1/7)\, (7\, f(x_{0})) = (1/7)\, (0) = 0[/tex]- contradiction.
Therefore, the [tex]x[/tex]-intercepts of the new graph would be [tex]x = (-5)[/tex] and [tex]x = 3[/tex].
A nut store normally sells cashews for $4.00 per pound and peanuts for $1.50 per pound. But at the end of the month the peanuts had not sold well, so, in order to sell 90 pounds of peanuts, the manager decided to mix the 90 pounds of peanuts with some cashews and sell the mixture for $3.50 per pound. How many pounds of cashews should be mixed with the peanuts to ensure no change in the revenue?
The number of pounds of cashews should be mixed with the peanuts to ensure no change in the revenue is; 360 pounds
How to Solve Algebra Word Problems?Let the number of pounds of cashews be x.
Now, we are told that A nut store normally sells cashews for $4.00 per pound. Thus;
Cost of x pounds of cashews = $4x
He wants to mix the above with 90 pounds of peanuts and sell the mixture for $3.5 per pound. Thus, the equation here is;
((90 * 1.5) + (4x))/(x + 90) = 3.5
135 + 4x = 3.5(x + 90)
135 + 4x = 3.5x + 315
4x - 3.5x = 315 - 135
0.5x = 180
x = 180/0.5
x = 360 pounds of peanuts
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Find the equation of the line that contains the point (6, -2) and is perpendicular to the line y = - 2x + 8.
O y = -x
Oy=2x-14
O y =
x-5
O y = - 2x + 10
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]y = \stackrel{\stackrel{m}{\downarrow }}{-2}x+8\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{-2\implies \cfrac{-2}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-2}\implies \cfrac{1}{2}}}[/tex]
so, we're really looking for the equation of a line whose slope is 1/2 and that it passes through (6 , -2)
[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{-2})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{ \cfrac{1}{2}}(x-\stackrel{x_1}{6}) \implies y +2= \cfrac{1}{2} (x -6) \\\\\\ y+2=\cfrac{1}{2}x-3\implies \LARGE \begin{array}{llll} y=\cfrac{1}{2}x-5 \end{array}[/tex]
A triangle has side lengths of (26 +5c) centimeters, (10b + 7d) centimeters, and
(4d-3c) centimeters. Which expression represents the perimeter, in centimeters,
of the triangle?
The perimeter of the triangle will be 26 + 2c + 20b + 11d.
How to calculate the value?It should be noted that the perimeter of the triangle will be the addition of all the sides.
This will be:
26 + 5c + 10b + 7d + 4d - 3c
Collect like terms
26 + 5c - 3c + 10b + 11d
= 26 + 2c + 20b + 11d
Therefore, the perimeter of the triangle will be 26 + 2c + 20b + 11d.
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A triangle has side lengths of (26 +5c) centimeters, (10b + 7d) centimeters, and
(4d-3c) centimeters. Which expression represents the perimeter, in centimeters,
of the triangle?
4c + 26d
b + d + 26
26 + 2c + 20b + 11d.
en que se parece el Palacio Versalles y el Palacio el escorial
Answer:
Las primeras y quizá más sobresaliente características del monasterio y palacio real San Lorenzo de el Escorial son la composición geométrica y simétrica del edificio, el uso de los espacios cuadrados, y la preferencia por lo poco ornamentado, esto resulta bastante contrastante con la arquitectura regular de Europa, en la cual, sobre todo en Italia había predilección por las líneas curvas, los espacios ovalados, circulares, asimétricos y la predominación de un estilo muy ornamanetado con la intención de mover intensamente al espectador ante la unión del poder terrenal y espiritual. Existen rasgos en común con la arquitetura barroca foránea, como el uso de lo clásico como modelo riguroso y la necesidad de representar la grandiosidad e imponencia de la nobleza en la magnitud del palacio. Juan de Herrera fue el arquitecto del rey Felipe II, y quien impuso como estilo español arquitectónico barroco lo poco ornamentado, el recuerdo de lo clásico y los edificios de líneas rectas y grandes magnitudes.