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Related Questions
12 is 36 less than 4 times a number. What is the number?
Answers
Let us use this equation: 4x-36= 12
x stands for the missing number.
To solve for x, we will transfer the -36 to the side of 12, and it will look like this: 4x= 12+36 (NOTE: Once we transfer a number on the other side, their signs will change too. For example, the -36 became positive 36 when it was transferred to the side of the 12)
Then, 4x= 48, divide both sides by 4 so that the x will remain. 48/4= 12.
Therefore, x=12
Let
x---------> the number
we know that
[tex]12=4x-36[/tex] ---------> equation [tex]1[/tex]
Solve for x
[tex]12=4x-36[/tex]
Adds [tex]36[/tex] boths sides
[tex]12+36=4x-36+36[/tex]
[tex]48=4x[/tex]
Divide by [tex]4[/tex] boths sides
[tex]x=12[/tex]
therefore
the answer is
the number is [tex]12[/tex]
Madame Pickney has a rather extensive art collection and the overall value of her collection has been increasing each year. Three years ago, her collection was worth $400,000. Two years ago, the value of the collection was $440,000 and last year, the collection was valued at $484,000. Assume that the rate at which Madame Pickney’s art collection’s value increase remains the same as it has been for the last three years. The value of the art collection can be represented by a geometric sequence. The value of the collection three years ago is considered the first term in the sequence. What explicit rule can be used to determine the value of her art collection n years after that?
Answers
Answer:
B
Step-by-step explanation:
an=400,000(1.1)^n−1
Jillene wrapped 4 gifts for her 4 cousins. If she gives them out randomly, what is the probability that every cousin gets the right present?
Answers
Jillene wrapped 4 gifts for her 4 cousins. If she gives them out randomly, then there are 4! ways in which her cousins can receive the gifts.
Now, we know that 4!=4 x 3 x 2 x 1=24
Thus, if Jillene gives out her 4 wrapped gifts randomly to her 4 cousins, then there are 24 ways in which her cousins can receive Jillene's gifts. But there is only one way in which every cousin gets the right present.
Thus, the probability, P, that every cousin gets the right present is:
[tex] P=\frac{1}{24} [/tex]
Expressed as a percentage the probability, P is approximately, 4.17%
My sister is buying new carpet for her bedroom floor. The length of the bedroom is 13 feet. The area of the bedroom is 175.5 square feet. How wide is my sister's bedroom?
A. 13.5 ft
B. 13.5 ft 2
C. 162.5 ft 2
D. 198.5 ft 2
Answers
175.5 ÷ 13 = 13.5
And since the width is one dimensional, the answer is A.
Hope this helps!
Given: length = 13 , area = 175.5
175.5 = 13 x width
width = 175.5 ÷ 13
width = 13.5 feet
The width is 13.5 ft (Answer A)
BRAINLIEST TO PERSON WHO DOES ALL STEPS, KEEP IT SIMPLE AND EASY TO UNDERSTAND
The length of a rectangular floor is 4 ft. longer than its width w. The area of the floor is 525 ft^2.
a) Draw a picture of the situation.
b) Write a quadratic equation for the area in terms of w that represents the situation.
c) What are the dimensions of the floor? Explain how you found them.
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For your drawing, you will have a rectangle with an x for the width and an x + 5 for the length.
If we multiply those together, we get the following equation for the area.
x(x + 5) = A
x^2 + 5x = A
Now, input 525 and solve for x.
x^2 + 5x = 525
x^2 + 5x - 525 = 0
x = 21 or x = -25
Only 21 makes sense for the width. Adding on 4 gives us 25 for the length.
The length is 4 ft longer than the width.
This means that:
Length = 4 + w
Part (a):
The drawing of the situation is shown in the attached image
Part (b):
Area of the rectangle is calculated as follows:
area = length * width
area = (w + 4) * w
area = w² + 4w
We are given that the area is 525 ft²
This means that:
525 = w² + 4w
Part (c):
To get the dimensions of the floor, we will need to solve the quadratic equation from part b.
area = w² + 4w
525 = w² + 4w
w² + 4w - 525 = 0
(w-21)(w+25) = 0
either w-21 = 0 ............> w = 21 ft .........> accepted solution
or w+25 = 0 ............> w = -25 ...........> rejected solution as the length cannot be negative
Now, we know that:
length = w + 4
length = 21 + 4
length = 25 ft
This means that:
length of floor = 25 ft
width of floor = 21 ft
Hope this helps :)
In the land of Ink, the money system is unique. One Trinket is equal to 4 Blinkets, and 3 Blinkets are equal to 7 Drinkets. In Trinkets, what is the value of 56 Drinkets?
Answers
To find the value of 56 Drinkets in Trinkets, we need to convert Drinkets to Blinkets, then Blinkets to Trinkets.
Explanation:To find the value of 56 Drinkets in Trinkets, we need to convert Drinkets to Blinkets, then Blinkets to Trinkets. Given that 3 Blinkets are equal to 7 Drinkets, we can calculate the value of 1 Blinket in Drinkets by dividing 7 by 3, which is approximately 2.33 Drinkets. Next, we can calculate the value of 56 Drinkets in Blinkets by multiplying 56 by 2.33, which is approximately 130.48 Blinkets.
Finally, since 1 Trinket is equal to 4 Blinkets, we can find the value of 130.48 Blinkets in Trinkets by dividing 130.48 by 4, which is approximately 32.62 Trinkets.
Given the inequalities y < 2x+7 and y > 3x-2 graphed on the same coordinate grid, which of the following coordinates gives a true statement?
A. (6,-2)
B. (-6,-2)
C. (-4,-2)
D. None of the above
Answers
Only option C (-4, -2) satisfies both inequalities, making it the correct choice.
To find which coordinate gives a true statement for the system of inequalities y < 2x + 7 and y > 3x - 2, we can test each option.
For option A (6,-2), the first inequality becomes -2 < 2(6) + 7, which simplifies to -2 < 19, which is true. The second inequality becomes -2 > 3(6) - 2, which simplifies to -2 > 16, which is false.
For option B (-6,-2), the first inequality becomes -2 < 2(-6) + 7, which simplifies to -2 < -5, which is false. So, we need not test the second inequality.
For option C (-4,-2), the first inequality becomes -2 < 2(-4) + 7, which simplifies to -2 < -1, which is true. The second inequality becomes -2 > 3(-4) - 2, which simplifies to -2 > -14, which is true.
Therefore, the coordinate that makes both inequalities true is option C (-4,-2).
The only coordinate that satisfies both inequalities y < 2x+7 and y > 3x-2 is point C (-4, -2). The other provided options either do not satisfy one or both inequalities.
The question asks which coordinate point satisfies both inequalities, y < 2x+7 and y > 3x-2, when graphed on a coordinate grid. Let’s evaluate each option:
For point A (6, -2), substitute x with 6 in the inequalities, results; -2 < 2(6)+7 and -2 > 3(6)-2, which simplifies to -2 < 19 and -2 > 16. The first inequality is true, but the second is false, so point A doesn't satisfy both inequalities.For point B (-6, -2), substitute x with -6 in the inequalities, results; -2 < 2(-6)+7 and -2 > 3(-6)-2, which simplifies to -2 < -5 and -2 > -20. Both inequalities are false, so point B does not satisfy both inequalities.For point C (-4, -2), substitute x with -4 in the inequalities, results; -2 < 2(-4)+7 and -2 > 3(-4)-2, which simplifies to -2 < -1 and -2 > -14. Both inequalities are true, so point C satisfies both inequalities.Therefore, the coordinate that gives a true statement for both inequalities is point C (-4, -2), making the correct answer C.
Help please! Thanks:)))
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hope this helps :)
mr banks left work at 5:15 pm it took him 1 and 1/4 hours to drive home at what time did he arrive home
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The equation 5x-10y=30is written in standard form. What is the first step when solving for x? Add 5x to both sides of the equation. Subtract 5x from both sides of the equation. Add 10y to both sides of the equation. Subtract 10y from both sides of the equation.
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The first step is Add 10y to both sides of the equation.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Parts of an Equation
There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators.
An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables.
Given:
5x- 10y =30
Now, to solve for x we must contain 'x' till the last step
so, we have to remove variable y
Then, Add 10y to both sides of the equation is the first step.
5x - 10y + 10y = 30 + 10y
5x = 30 +10y
Hence, Add 10y to both sides of the equation.
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10 points thanks to those who help
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Have a good day
a scale drawing has a scale of 2 cm :21 km. find the actual length for a drawing length of 4.5 cm
A 35.8 km
B 23.5 km
C 47.25 km
D 41.4 km
ANSWER FASST PLEASE !!!!!!!!!!!!!!!!!!!!!!1
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The answer to this equation would be option C.47.25
hope this helps
:D :)
Explain a scenario where you would use a frequency table to display data in the real world.
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Some manufacturing processes produce parts that have a wide range of characteristics. Sometimes the range is much larger than is desired for a particular purpose, so the parts are "binned". That is, if they have characteristics in a specific narrow range, they are put into a bin with other similar parts.
Some customers want only parts with a particular specific characteristic (color or brightness, for example). If a request for quote comes that asks for a large number of these parts, it would be helpful to have on hand previously collected data about the percentage of production that falls into the specific bins desired. That is, a frequency table showing the number in each bin produced by a given operator, machine setting, environmental condition, material supplier, or other variable would be very helpful information when responding to the customer.
_____
Perhaps less complicated: a frequency table showing the zip codes of folks who show up for your art class might give you helpful information about where to target your advertising.
What is the volume of a rectangular prism with a 4 inch base and a height of 4?
Answers
V= (4)(4)(4)
V= 64 in cubed
[tex]v = lwh[/tex]
Compare the two functions in the table. Will the value of function y = 2x eventually exceed the value of function y = x10?
Answers
y = 2x
y = x ^ 10
We note that the second function always has values of y greater than the first function. However, there is a value of x for which the first function is greater.
For x = 1 we have:
y = 2 (1) = 2
y = (1) ^ 10 = 1
We note that:
2> 1
Answer:
Yes, the value of function y = 2x eventually exceed the value of function y = x ^ 10.
Answer:
Yes
Step-by-step explanation:
Allow me to revise your question for a better understanding
y = 2x
y = [tex]x^{10}[/tex]
Any exponential function with a base bigger than 0 smaller than 1 will eventually be exceeded by any polynomial function. Let me give one example for this situation.
Let x = [tex]\frac{1}{2}[/tex], we have:
y = 2x = 2*[tex]\frac{1}{2}[/tex] = 1y = [tex]x^{10}[/tex] = [tex]\frac{1}{2} ^{10} = \frac{1}{1024}[/tex]Obviously, y = [tex]x^{10}[/tex] <y = 2x
Hope it will find you well.
olive garden is only 10 yd and the watermelon plants she wants to grow require 2.5 yd each.how many watermelon plants can she grow
Answers
So, the answer is 4 plants.
Hope this helped☺
She can grow 4 watermelons.
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.
Steps to Use Unitary Method
First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Given:
Olive garden = 10 yard
Watermelon plants = 2.5 yard
Number of watermelon she can grow
=10/2.25
=4
Hence, She can grow 4 watermelons.
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What is the best approximation for the area of a circle with a diameter of 13 meters?
Use 3.14 to approximate pi.
A) 40.8 m²
B) 81.6 m²
C) 132.7 m²
D) 530.7 m²
Answers
Hope it helps
The area of the given circle with 13 meters of diameter is 132.7 m².
What are the circumference and diameter of a circle?The circumference of a circle is the distance around the circle which is 2πr.
The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.
Given, Diameter is 13 meters hence radius is (13/2) meters.
We know the area of a circle is πr².
∴ The area of the given circle is π(13/2)² = 132.7 m².
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Which answer choice is equivalent to
−65
−12
?
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Could 10.5 cm, 8.0 cm, and 4.0 cm be the side lengths of a triangle?
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Answer: Yes, there can be a triangle with the side lengths 10.5 cm, 8.0 cm, and 4.0 cm.
Step-by-step explanation:
We know that triangle inequality says that the sum of any two side of a triangle must be greater to the third side of the triangle.
To check 10.5 cm, 8.0 cm, and 4.0 cm be the side lengths of a triangle, we should check the triangle inequality as.
[tex]10.5+8=18.5>4\\10.5+4=14.5>8\\4+8=12>10.5[/tex]
Thus, the given side lengths satisfy the triangle inequality.
Hence, there can be a triangle with the side lengths 10.5 cm, 8.0 cm, and 4.0 cm.
10 feet wide by 30 feet long by 1/3 foot deep.what is the volume?
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Formula
----------------------------------------------
Volume = Length x Width x Height
----------------------------------------------
Apply Formula
----------------------------------------------
Volume = 10 x 30 x 1/3 = 100 ft³
----------------------------------------------
Answer: 100 ft³
----------------------------------------------
To find volume, multiply the length, width, and height.
For this problem, multiply 10 x 30 x 1/3 . . .
10 = 10/1
30 = 30/1
10 x 30 = 300
1 x 1 = 1
= 300/1
Simplifying 300/1 . . .
300/1 = 300
300 = 300/1
1/3 = 1/3
300 x 1 = 300
1 x 3 = 3
= 300/3
Simplifying 300/3 . . .
300/3 = 100 <-------
The volume is 100 ft.
Hope this helps you.
Have a great day!
I have trouble converting
Answers
2. 288 in. = 8 yd.
3. 5 ft. = 60 inches.
4. 103 in.
5. 219 in. = 18 ft. 3 in. or 18 ft.
Hope this helps!
2. 288 in. = 8 yd.
3. 5 ft. = 60 inches.
4. 103 in.
5. 219 in. = 18 ft. 3 in. or 18 ft.
5-12 URGENT ONLY ANSWER IF YOU REALLY KNOW HOW TO SO THIS OR ELSE
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6. We add all the sophomores surveyed, 116 + 52 = 168,
7. We add the numbers under the "yes" category, 92 + 116, which is 208.
8. We add the numbers under the "no" category, 86 + 52, which is 138.
11. A marginal frequency is the total of freshman, 222, and the total sophomores are 192. The marginal frequency of freshman are greater than that of the sophomores.
(there is no #9, #10, or a table for #12)
The figure shows three quadrilaterals on a coordinate grid:
Which of the following statements is true about the three quadrilaterals?
M and O are similar and congruent.
O and N are similar and congruent.
M and N are similar but not congruent.
M and O are similar but not congruent.
Answers
Answer:
D. M and O are similar but not congruent.
Step-by-step explanation:
To begin, let's eliminate some options.
It can't be A. M and O are similar and congruent because M and O aren't congruent because they are different sizes. It cannot be B. O and N are similar and congruent because they aren't congruent since they're different sizes. Lastly, it cannot be C. M and N are similar but not congruent, because these two are actually congruent.
Therefore, the correct answer is D. M and O are similar but not congruent.
Answer:
Option D.
Step-by-step explanation:
From the given figure it is clear that the three quadrilaterals on a coordinate grid are squares because all sides of each quadrilaterals are same and all interior angles are right angles.
Side length of square M = 2 units
Side length of square N = 2 units
Side length of square O = 4 units
The corresponding sides of congruent figures are congruent. So,
Square M ≅ Square N
The corresponding sides of similar figures are proportional. So,
Square M [tex]\sim[/tex] Square N
Square M [tex]\sim[/tex] Square O
Square N [tex]\sim[/tex] Square O
M and O are similar but not congruent.
Therefore, the correct option is D.
A fish tank has 16 gallons, the length is 7 feet and the width is 2 feet.Find the hypotenuse length using the Pythagorean theorem .please help fast
Answers
Substitute known values into the equation.
7² + 2² = c²
49 + 4 = c²
c² = 53
c = √53
c = 7.28010989
Answer: The hypotenuse's length is 7.3 feet.
Order these numbers from least to greatest
Answers
Least= 3.311
3.32
27/8= 3.375
Greatest= 3 4/9= 3.444444
Hope this helps! :)
MATH HELP PLEASE! WILL GIVE BRAINLIEST!
In circle A, mBEC is 290º.
What is the measure of ∠BAC ?
70º
130º
170º
360º
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What are the next three terms of the geometric sequence 3, 12, 48, . . . ?
Answers
12 * 4 = 48
48 * 4 = 192
192 * 4 = 768
768 * 4 = 3,072
The next three terms are 192, 768, and 3,072
Hope this helps =)
The next 3 terms of the geometric sequence 3, 12, 48, are 192, 768 and 3072.
Using geometric sequence formula:
aₙ = arⁿ⁻¹where
a = first term
r = common ratio
n = number of term
Therefore,
let's find the 4th term .
n = 4
a = 3
r = 12 /3 = 4
a₄ = 3 × 4⁴⁻¹
a₄ = 3 × 4³
a₄ = 3 × 64 = 192
Using the same pattern the next 2 terms are as follows
192 × 4 = 768 768 × 4 = 3072Therefore, the next three terms of the sequence 3, 12, 48, ... are 192, 768 and 3072.
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Combine any like terms in the expression. If there are no like terms, rewrite the expression. 2 + 5q^3 – 5q^3
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= [tex]2[/tex]
Plzzzzzzzzzzzzzzzzzzz
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2. Since it doesn't terminate or repeat, the number is an irrational number.
3. When it can be written as a ratio, it is a rational number.
4. The decimal digits infinitely repeating is called a repeating decimal.
5. Ending decimal is another word for terminating decimal.
6. The fraction bar in which has numerator above and denominator below is a vinculum. Hope this helps!
Help Please Homework Due tomorrow:
4. 3 + [5 - 2 ( 8 + 4)] + 6