A triangle with a height of 12
inches has an area of 42 square
inches. How long is the base of
the triangle? (need help) need it asap
The area of a triangle is 1/2*base*height
So make your equation: 1/2*b*12=42
6*b=42
b=7
So the base is 7 inches long
Hope that helped!
What is 22,119 rounded on o the nearest hundred
If the equation of a function is y = x2 - 5, what is the output when the input is -1?
Answer:
y = - 4
Step-by-step explanation:
The output is the value of y for a given input x
For an input of - 1, substitute x = - 1 into the equation.
y = (- 1)² - 5 = 1 - 5 = - 4 ← output
6v+13b=377
4v+9b=259
Answer:
v = 13
b = 23
Step-by-step explanation:
To solve this system of equations, we can negate one equation and add it to other to cancel out one variable.
Looking at v and b, the coefficients are 6, 4 and 13, 9, respectively.
It would be easier to use the LCM of 6 and 4
[tex]E_1 : 6v + 13b = 377\\E_2: 4v + 9b = 259\\\\4E_1 + (- 6)E_2:\\24v + 52b = 1508\\-24v - 54b=-1554\\\\0v -2b = -46\\-2b = -46\\b = 23\\\\4v + 9(23) = 259\\4v + 207 = 259\\4v = 52\\v = 13\\\\6(13) + 13(23)\\78 + 299\\377[/tex]
72% of the students in Math 6th at AZVA are currently passing mastering their lessons. If 324 students are currently mastering their Math lessions, how many students are in Math 6th?
a) Use a percent equation OR set up a proportion that will use to solve the problem.
b) Solve the problem. Show your work.
Answer:
Step-by-step explanation:
72% of the students in math 6 = 324
let x represent the students in math 6
turn ur percent to a decimal
0.72x = 324
x = 324 / 0.72
x = 450 students <===
Answer:
its 233.28
Step-by-step explanation:
cuz i took a test and this was the right answer
The following examples illustrate the inverse property of multiplication. Study the examples, then choose the statement that best describes the property.
1
5
• 5 = 1
√2 (
1
√2
) = 1
Inverse property of multiplication: For all real numbers except , a • = 1.
Answer:
[tex]\text{Inverse property of multiplication: For all real numbers except }0,\text{ }a\cdot 1/a=1[/tex]
Explanation:
These are the examples given to illustrate the inverse property of multiplication:
[tex]1/5\cdot 5=1\\\\ \sqrt{2}\cdot (1/\sqrt{2})=1[/tex]
And you must complete the statement to describe the property.
Inverse property of multiplication: For all real numbers except __, a • __ = 1.In the first example, 1/5 and 5 are reciprocal numbers of each other, also known as multiplicative inverses. And the example is showing that the product of 1/5 and its reciprocal is 1.
In the second example, [tex]\sqrt{2}\text{ and }(1/\sqrt{2})[/tex] are reciprocal of each other. Again, the example is showing that the product of those a number at its reciprocal is 1.
That is a general property, that can be written as:
[tex]a\cdot 1/a=1[/tex]
That property is satisfied by any number except 0, because the reciprocal of [tex]0[/tex] , i.e. [tex]1/0[/tex] is not defined.
Then, the statemen is:
[tex]\text{For all real numbers except }0,\text{ }a\cdot 1/a=1[/tex]
The statement that best describes the inverse property of multiplication is: Inverse property of multiplication: For all real numbers except 0, a * a⁻¹ = 1.
This means that if you multiply a number by its reciprocal, you will always get 1.
The examples you provided illustrate this property nicely:
5 * 1/5 = 1
√2 * 1/√2 = 1
Note that the inverse property of multiplication does not hold for the number 0, because the reciprocal of 0 is undefined.
Here is another example of the inverse property of multiplication:
3 * 1/3 = 1
You can check any other real number and its reciprocal, and you will always find that the product is 1.
The inverse property of multiplication is a useful property in mathematics, and it is used in many different areas, such as algebra, calculus, and physics.
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Which expression shows a way to find 20% of 950?
950
20
20
What is it
To find 20% of 950, first convert the percentage to a decimal (20% becomes 0.20) and then multiply that value by 950. The mathematical expression representing this calculation is 0.20 x 950, which yields the result: 190.
Explanation:The question is asking about how to find 20% of 950 in mathematics. Here's how you do that:
First, turn the percentage into a decimal. 20% becomes 0.20 in decimal form because percent means 'per hundred'. Thus 20 per hundred is 0.20 as a decimal.Next, to find 20% of 950, you multiply the decimal form of the percentage (0.20) by 950. The mathematical expression that represents this operation is: 0.20 x 950.Therefore, 20% of 950 equals 190. Learn more about Percentage Calculation here:https://brainly.com/question/329987
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To find 20% of 950, convert 20% to decimal form as 0.20 and multiply it by 950. The result of this calculation is 190, which represents 20% of 950.
Explanation:The expression to find 20% of 950 is obtained by multiplying 950 by the percentage in decimal form. Since 20% as a decimal is 0.20, you multiply 950 by 0.20 to find the answer. The calculation is as follows:
Convert the percentage to a decimal: 20% = 0.20Multiply the value by the decimal percentage: 950 × 0.20Calculate the result: 950 × 0.20 = 190So, 20% of 950 is 190.
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How do you solve it
Answer:
Step-by-step explanation:
400-65=335
Morse code is a way to transmit text using a series of dots or dashes. The Morse Code for "Add" is shown. What fraction of the shapes are dots in the Morse code for "Add"
Add in Morse code is :
.—..-..
There are 8 total symbols, 5 of them are dots.
The fraction would be 5/8 are dots.
Answer:
[tex]\frac{5}{8}[/tex]
Step-by-step explanation:
The Morse Code for Add is:
.__.._..
There are 5 dots and 3 dashes, so there are 8 figures in total. The fraction is 5 divided by the total number of symbols, which is 8. So the answer is [tex]\frac{5}{8}[/tex]
QUESTION 4 of 10: Your restaurant purchases 1,625 bottles of Chablis per year. The annual increase of purchases has been 6%. If this
increase continues for 5 years, what will be your average increase in bottles purchased per year over that time?
a) 110 bottles
b) 190 bottles
c) 260 bottles
d) 400 bottles
Answer:
A - 110
Step-by-step explanation:
So if it is 6% increase you would times the number by 1.06. So you would do this like 5 times:
1,625 x 1.06 = 1722.5
1722.5 x 1.06 = 1825.85
1825.85 x 1.06 = 1935,401
1935.401 x 1.06 = 2051,52506
2051.52506 x 1.06 = 2174,6165636
Now you have the total number of bottles after 5 years, you would find the increase which is 2174.6165636 - 1,625 ≈ 550. 550 / 5 = 110
A
⭐ Answered by Foxzy0⭐
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The average increase in bottles purchased per year over that time is c) 110 bottles.
What is percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is generally denoted using the percent sign ''%''.
Now it is given that,
Number of bottles purchased per year, a = 1,625
Percentage increase per year, r = 6% = 0.06
Total time period, n = 5 years
Since, the equation of a exponential growth function is given as,
y = a(1 +r)ⁿ
⇒ y = 1625(1 +0.06)⁵
⇒ y = 1625(1.06)⁵
⇒ y = 1625*1.338
⇒ y = 2,175
Therefore, average increase in bottles purchased per year over that time = (2175 - 1625) / 5
= 550 / 5
= 110 bottles
Thus, the average increase in bottles purchased per year over that time is c) 110 bottles.
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Write an expression to represent:
"15 times a number w"
Answer:
15×w
Step-by-step explanation:
15 times w is a number bigger 15 times or added up again and again 15 times:
w+w+w+w+w+w+w+w+w+w+w+w+w+w+w or 15×w
The expression to represent "15 times a number w" is written as 15w. Substituting ½ for w would lead to the multiplication 15 × ½, resulting in 7.5.
Explanation:To represent the phrase "15 times a number w," you would write the algebraic expression 15w. This is accomplished by using the coefficient 15 to indicate that the number w is being multiplied by 15. So, if you were to substitute the value ½ for w into this expression, you would perform the multiplication 15 × ½ to get the result, which simplifies to 7.5.
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Suppose that receiving stations X, Y, and Z are located on a coordinate plane at the points (4,5), (-6,-6), and (-14,2), respectively. The epicenter of an earthquake is determined to be 10 units from X, 5 units from Y, and 13 units from Z. Where on the coordinate plane is the epicenter located?
Find the coordinates of the epicenter.
Answer:
(-2, -3)
Step-by-step explanation:
A careful graph shows the point (-2, -3) is at the intersection of the circles whose radii are the given distances from the receiving stations.
_____
The simultaneous equations for the circles can be solved algebraically.
The epicenter is 10 units from X, so lies on the circle ...
(x -4)^2 +(y -5)^2 = 10^2
x^2 -8x +16 +y^2 -10y +25 = 100
x^2 +y^2 -8x -10y = 59
__
The epicenter is 5 units from Y, so lies on the circle ...
(x +6)^2 +(y +6)^2 = 5^2
x^2 +12x +36 +y^2 +12y +36 = 25
x^2 +y^2 +12x +12y = -47
__
The epicenter is 13 units from Z, so lies on the circle ...
(x +14)^2 +(y -2)^2 = 13^2
x^2 +28x +196 +y^2 -4y +4 = 169
x^2 +y^2 +28x -4y = -31
__
Subtracting the second equation from each of the other two, we get ...
(x^2 +y^2 -8x -10y) -(x^2 +y^2 +12x +12y) = (59) -(-47)
-20x -22y = 106 . . . . eq1 -eq2
(x^2 +y^2 +28x -4y) -(x^2 +y^2 +12x +12y) = (-31) -(-47)
16x -16y = 16 . . . . . . . .eq3 -eq2
These simultaneous linear equations can be solved a variety of ways. We might use substitution:
x = y+1 . . . . . from eq3 -eq2 divided by 16
10(y +1) +11y = -53 . . . . . from eq1 -eq2 divided by -2
21y = -63 . . . . . . . . . . . . simplify, subtract 10
y = -3
x = y+1 = -2
The epicenter is located at (x, y) = (-2, -3).
The product of t and three is 13.5
Answer: t = 4.5
Step-by-step explanation: 13.5/3 = 4.5
Answer:
T = 4.5
Step-by-step explanation:
The way to solve this is simple.
You just have to divide 13.5 by 3
and then you get the answer of 4.5!
Hope this helped!
~Oreo!!
If NS = 2x + 7 and SQ = 5x - 23, find NQ
Incomplete Question Consider here NS = SQ then we may solve for NQ
Answer:
Therefore,
[tex]NQ=54\ units[/tex]
Step-by-step explanation:
Consider N -S -Q as a Straight line as shown in the figure below such that,
[tex]NS = 2x + 7[/tex]
[tex]SQ = 5x -23[/tex]
[tex]NS =SQ[/tex] ..............Consideration
To Find:
NQ = ?
Solution:
[tex]NS =SQ[/tex] .....Given Consideration
Substituting the values we get
[tex]2x+7=5x-23\\\\3x=30\\\\x=\dfrac{30}{3}=10[/tex]
Therefore,
[tex]NS = 2\times 10 + 7 = 27[/tex]
[tex]SQ = 5\times 10 -23=27[/tex]
N -S-Q is a Straight Line,
Then BY Line Addition Postulate,
[tex]NQ=NS+SQ[/tex] ...............N-S-Q
Substituting the values we get
[tex]NQ=27+27=54\ units[/tex]
Therefore,
[tex]NQ=54\ units[/tex]
What number is halfway between .2 and .3
Final answer:
The number halfway between 0.2 and 0.3 is 0.25, which is found by adding the two numbers and dividing the total by 2.
Explanation:
The number halfway between 0.2 and 0.3 can be found by calculating the average of the two numbers. To find the average, you add the two numbers together and then divide by 2.
To show the steps:
Add 0.2 and 0.3 together: 0.2 + 0.3 = 0.5.Divide the sum by 2 to get the midpoint: 0.5 ÷ 2 = 0.25.Therefore, the number that is halfway between 0.2 and 0.3 is 0.25.
The number halfway between 0.2 and 0.3 is 0.25.
To find the number halfway between 0.2 and 0.3, you calculate the average of the two numbers. Here's the step-by-step process:
Add the two numbers together: 0.2 + 0.3 = 0.5.Divide the sum by 2 to get the average: 0.5 / 2 = 0.25.So, the number halfway between 0.2 and 0.3 is 0.25. This method ensures that you find the exact midpoint between two values.
Help please! these questions are really confusing me
Answer:
Figure 1: Option A : [tex]$ \sqrt{\frac{\textbf{3}}{\textbf{2}}} $[/tex] ; [tex]$ \frac{\textbf{1}}{\textbf{2}} $[/tex] ; [tex]$ \sqrt{\textbf{3}}} $[/tex]
Figure 2: Option B: [tex]$ \frac{\sqrt{\textbf{19}}}{\textbf{10}} $[/tex] ; [tex]$ \frac{\textbf{9}}{\textbf{10}} $[/tex] ; [tex]$ \frac{\sqrt{\textbf{19}}}{\textbf{9}} $[/tex]
Figure 3: Option C: [tex]$ \frac{\textbf{4}}{\textbf{5}} $[/tex] ; [tex]$ \frac{\textbf{3}}{\textbf{5}} $[/tex] ; [tex]$ \frac{\textbf{4}}{\textbf{3}} $[/tex]
Step-by-step explanation:
[tex]$ \textbf{Sin A} \hspace{1mm} \textbf{= } \hspace{1mm} \frac{\textbf{opp}}{\textbf{hyp}} $[/tex]
[tex]$ \textbf{Cos A} \hspace{1mm} {\textbf{=} \hspace{1mm} \frac{\textbf{adj}}{\textbf{hyp}} $[/tex]
[tex]$ \textbf{Tan A} \hspace{1mm} \textbf{=} \hspace{1mm} \frac{\textbf{Sin A}}{\textbf{Cos A}} $[/tex]
We can simply follow these three formulas to solve the problem.
Figure 1:
Sin A = [tex]$ \frac{6\sqrt{3}}{12} $[/tex] = [tex]$ \frac{\sqrt{3}}{2} $[/tex]
Cos A = [tex]$ \frac{6}{12} = \frac{1}{2} $[/tex]
Tan A = [tex]$ \frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}} $[/tex] = [tex]$ \sqrt{3} $[/tex]
Figure 2:
Sin A = [tex]$ \frac{2\sqrt{19}}{20} $[/tex] = [tex]$ \frac{\sqrt{19}}{10} $[/tex]
Cos A = [tex]$ \frac{18}{20} = \frac{9}{10} $[/tex]
Tan A = [tex]$ \frac{\frac{\sqrt{19}}{10}}{\frac{10}{9}} $[/tex] = [tex]$ \frac{\sqrt{19}}{9} $[/tex]
Figure 3:
Sin A = [tex]$ \frac{16}{20} $[/tex] = [tex]$ \frac{4}{5} $[/tex]
Cos A = [tex]$ \frac{12}{20} = \frac{3}{5} $[/tex]
Tan A = [tex]$ \frac{\frac{4}{5}}{\frac{3}{5}} $[/tex] = [tex]$ \frac{4}{3} $[/tex]
Hence, the answer.
please help REAL ANSWERS ONLY
Use the distance formula: sqrt((x2-x1)^2+(y2-y1)^2)
Plug in variables:
sqrt((-3-2)^2+(5-8)^2)
sqrt((-5)^2+(-3)^2)
sqrt(25+9)
sqrt(34)
Rounded to the nearest tenth is 5.8 units
Hope this helped.
length of a rectangle is 4 more than its breadth.represent in the form equation
Answer:
L = B + 4
Step-by-step explanation:
Let the breadth be B
Let the length be L
But from the question, we were told that the length is 4 more than the breadth. This is expressed as
L = B + 4
12) The school that Danielle goes to is selling tickets to a choral performance. On the first day of
ticket sales the school sold 5 senior citizen tickets and 9 student tickets for a total of $144. The
school took in $192 on the second day by selling 14 senior citizen tickets and 6 student tickets.
What is the price each of one senior citizen ticket and one student ticket?
Answer:
Senior citizen tickets = $9
Student tickets = $11
Step-by-step explanation:
We begin by converting these into simultaneous linear equation;
Senior citizen tickets = a
Student tickets = b
5a + 9b = 144
14a + 6b = 192
5a = 144 - 9b
a = 144/5 - 9b/5
a = 28.8 - 1.8b
We now substitute this into the first equation
14(28.8 - 1.8b) + 6b = 192
403.2 - 25.2b +6b = 192
-19.2b = 192 - 403.2
b = -211.2/-19.2
b = 11
Put the value of b into either equation
5a + 9b = 144
5a + 9(11) = 144
5a +99 = 144
5a = 144-99
5a = 45
a = 9
Be sure to explain your reasoning.
Sally makes a fruit drink using ⅔ of a cup of orange juice for every ¼ of a cup of pineapple juice. How many cups of orange juice will Sally need if she uses 2 cups of pineapple juice?
Answer:
Sally need [tex]5\frac{1}{3}[/tex] cups of orange juice.
Step-by-step explanation:
Given:
Sally makes a fruit drink using ⅔ of a cup of orange juice for every ¼ of a cup of pineapple juice.
If she uses 2 cups of pineapple juice.
Now, to find the cups of orange juice.
So, to solve by using unitary method:
As, ¼ of a cup of pineapple juice is needed for orange juice of = ⅔ cup.
So, 1 cup of pineapple juice is needed for orange juice of = [tex]\frac{2}{3}\div \frac{1}{4}[/tex]
[tex]=\frac{2}{3}\times \frac{4}{1}[/tex]
[tex]=\frac{8}{3}[/tex] cups.
Thus, 2 cups of pineapple juice is needed for orange juice of = [tex]\frac{8}{3} \times 2[/tex]
= [tex]\frac{16}{3}[/tex]
= [tex]5\frac{1}{3}[/tex] cups.
Therefore, Sally need [tex]5\frac{1}{3}[/tex] cups of orange juice.
Western North Carolina Woods have a deer population density of 3.5 deer per acre. If there are a total of 435 deer, how many acres are in this parcel of woods?
There are about 124.29 acres in this parcel woods
Step-by-step explanation:
The given is:
Western North Carolina Woods have a deer population density of 3.5 deer per acreThere are a total of 435 deerWe need to find how many acres are in this parcel of woods
∵ The population density = 3.5 deer per acre
- That means 1 acre for every 3 dears
∵ There are a total of 435 deer
∴ [tex]\frac{3.5}{1}=\frac{435}{x}[/tex] , where x is the number of acres
- By using cross multiplication
∴ 3.5 × x = 1 × 435
∴ 3.5 x = 435
- Divide both sides by 3.5
∴ x = 124.29
There are about 124.29 acres in this parcel woods
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The 5th power of what number is equal to 3^15?
3^15 = 14,348,907
Which means...
x^5 = 14,348,907
If we execute [tex]\sqrt[5]{14348907}[/tex] and do the same with x^5 we get...
x = 27
So the 5th power of 27 is equal to 3^15.
⭐ Answered by Hyperrspace (Ace) ⭐
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The fifth power of the number 27 is equal to 3¹⁵.
To find the fifth power of a number that is equal to 3¹⁵, we need to determine what number raised to the power of 5 gives us 3¹⁵.
Let's call the number we are looking for "x." So, we need to solve the equation:
x⁵ = 3¹⁵
To find x, we can take the fifth root of both sides of the equation:
x = (3¹⁵[tex])^{(1/5)[/tex]
x = 3³
x = 27
This means that if we raise 27 to the power of 5 (27⁵), we will get 3¹⁵ (3 raised to the power of 15).
In conclusion, the number we are looking for is 27, as 27^5 is equal to 3¹⁵.
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What is 15x when x=4
Answer:
60
Step-by-step explanation:
15*4=60
The 15x when x = 5 will be 60.
What is the arithmetic operator?
Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given,
x = 4
Now,
15x is nothing but we need to multiply 15 with x
So,
15x = 15 × 4
15x = 60
Hence,The 15x when x = 5 will be 60.
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What is 199000/10000 as a decimal?
Answer:
19.9
Step-by-step explanation:
divide 199000 by 10000
=19.9
Answer:
19.9
Step-by-step explanation:
Find the output, yyy, when the input, xxx, is 555.
y = 5x-3y=5x−3
The output y is [tex]y=22[/tex]
Explanation:
The expression is [tex]y=5 x-3[/tex]
We need to determine the output y, when the value of input is x is 5.
That is, substituting [tex]x=5[/tex] in [tex]y=5 x-3[/tex], we get,
[tex]y=5(5)-3[/tex]
Multiplying the value within the bracket, we have,
[tex]y=25-3[/tex]
Subtracting the terms, we get,
[tex]y=22[/tex]
Thus, the value of output y is [tex]y=22[/tex]
Zoe had x dollars on Monday.
Her sister took $4.50 from Zoe on Tuesday.
Zoe's mother gave her $20 on Wednesday.
Zoe spent half of her money on Thursday.
She had $17.80 left in her pocket.
how much did Zoe have on Monday
I need help on this please can someone help me with this
Answer:
C. 11
Step-by-step explanation:
First, find the value of "x" by solving the first equation. You need to move every other number to the other side of "x". When you move a number, you have to do the opposite operation to both sides.
5x + 6 = 10 The opposite of +6 is -6.
5x + 6 - 6 = 10 - 6 Subtract 6 from both sides
5x = 10 - 6 The "6" on the left cancelled out. Simplify the right side
5x = 4 The opposite of multiply by 5 is divide by 5
5x/5 = 4/5 Divide both sides by 5
x = 4/5 Value of "x"
Substitute the value of "x", which is 4/5, in the "x" for the second equation.
10x + 3
= 10(4/5) + 3 Multiply 10 and 4/5
= [tex]\frac{10*4}{5}[/tex] + 3 Combine into the numerator
= [tex]\frac{40}{5}[/tex] + 3 Divide the top by the bottom
= 8 + 3 Add
= 11 Value of second equation
Therefore the value of 10x + 3 is 11.
Consider the enlargement of a triangle that has a scale factor of 7.5.
A small triangle has a base of 5 centimeters and height of 2 centimeters. A larger triangle has a base of b and height of a.
Area Original = 1
2
(5)(2) = 5 cm2
What is the area of the enlarged triangle? cm2
Answer: ✔ 281.25
Step-by-step explanation:
Answer:
281.25
Step-by-step explanation:
It is correct E d g e n u i t y
Assume that y varies directly with x. If y = -15 when x = -5, find y when x = 3.
Write and solve a direct variation equation to find the answer.
y=
Answer: Y = 9
Step-by-step explanation:
Y & X
Y = KX
K = Y / X = - 15 / - 5 = 3
X = 3
K= 3
Y=?
Y = KX = 3 x 3 = 9
Therefore, when X = 3, Y = 9
Number 24 only please help me please
Check the picture below.
the idea being, that if we run an altitude segment from a right-angle in a triangle, and parallel to the opposite side, like in thise case, we end up with 3 similar triangles, a Large one, containing the other smaller ones, a Medium and a Small.
now, let's simply use proportions for those similar triangles.
[tex]\bf \stackrel{Large}{\cfrac{12}{4+x}}=\stackrel{Small}{\cfrac{4}{12}}\implies \cfrac{12}{4+x}=\cfrac{1}{3}\implies 36=4+x\implies \boxed{32=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Small}{\cfrac{4}{y}}=\stackrel{Medium}{\cfrac{y}{x}}\implies 4x=y^2\implies 4(32)=y^2\implies 128=y^2\implies \sqrt{128}=y \\\\\\ \sqrt{64\cdot 2}=y\implies \sqrt{8^2\cdot 2}=y\implies \boxed{8\sqrt{2}=y} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf \stackrel{Large}{\cfrac{z}{4+x}}=\stackrel{Medium}{\cfrac{x}{z}}\implies z^2=(4+x)x\implies z^2=4x+x^2\implies z = \sqrt{4x+x^2} \\\\\\ z = \sqrt{4(32)+32^2}\implies z = \sqrt{128+1024}\implies z = \sqrt{1152} \\\\\\ z = \sqrt{576\cdot 2}\implies z = \sqrt{24^2\cdot 2}\implies \boxed{z = 24\sqrt{2}}[/tex]