Answer:120 girls
Step-by-step explanation:
40% equals 80 boys, so 200 people less 80 is equal 120, therefore are 120 girls!
The number of girls is 120.
What are percentages?Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. It is used to measure frequency.
Percentage of girls = 100 = 40 = 60%
Number of girls = 60% x 200
= 120
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Yvette earns a $45,000 salary plus a 12% commission on any sales over $10,000. Last year Yvette made $30,000 in sales. How much did Yvette
earn in salary plus commission?
O A. $46,000
OB. $46,200
OC. $46,500
OD. $47,400
O E.
$48,600
Option D
The total earnings of Yvette is $ 47, 400
Solution:
Given that, Yvette earns a $45,000 salary plus a 12% commission on any sales over $10,000
Last year Yvette made $30,000 in sales
Subtract 10,000 from her sales to get the amount she earns commission on:
30,000 - 10,000 = 20,000
Since Yvette gets 12% commission
So amount earned as commission would be 12% of $20,000
[tex]\text{Commission}=20000\times \frac{12}{100}\\\\\text{Commission}=20000\times 0.12\\\\\text{Commission}=2400\left\\\\[/tex]
Yvette also gets a salary of $45,000, so Yvette's total earnings would be $45,000 plus $2,400
[tex]Total\ Earnings = 45000 + 2400 = 47400[/tex]
Thus total earnings of Yvette is $ 47, 400
Answer:
D
Step-by-step explanation:
Which of the following angles has a measure of 20 degrees?
Answer:
Hence, the supplement of a 20˚ angle is a 160˚ angle. This can be proven again, since 20+160=180 , and supplementary angles have a sum of 180˚ .
Step-by-step explanation:
The answer is: ∠BOA
(Had the same question)
BTW, you forgot to add the picture. That's why no one understands this, unless they had this question in their school work.
.
Writing the Equation of
a
What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (-5, 1)? Check all
that apply.
y=-2x-1
2x + 5y = -5
y=-2x-3
2x + 5y = -15
1= -2.(x + 5)
Answer: 2x + 5y = -5
Step-by-step explanation:
Two lines are said to be parallel if they have the same slope.
The equation of the line given :
2x + 5y = 10
To find the slope , we will write it in the form y = mx + c , where m is the slope and c is the y - intercept.
2x + 5y = 10
5y = -2x + 10
y = -2/5x + 10/5
y = -2/5x + 2
This means that the slope is -2/5 ,the line that is parallel to this line will also have a slope of -2/5.
using the formula:
[tex]y-y_{1}[/tex] = m ([tex]x-x_{1}[/tex] ) to find the equation of the line , we have
y - 1 = -2/5(x -{-5})
y - 1 = -2/5 ( x + 5 )
5y - 5 = -2 ( x + 5 )
5y - 5 = -2x - 10
5y + 2x = -10 + 5
therefore :
2x + 5y = -5 is the equation of the line that is parallel to 2x + 5y = 10
Answer: 2x + 5y = -5
Step-by-step explanation:please see attachment for explanation
Which inference can be made about the cars?
Answer:
Bout which cars?
Step-by-step explanation:
Sorry, but I think you've missed out a part of the question
Answer the image. Also, you don't need to explain your answer.
Answer:
5G/10
Step-by-step explanation:
In the problem above. How much money will be saved per year
Answer: i would help but i'm confused....what problem? can yhu attach it so i could help??! - Lexi@helps
Step-by-step explanation:
Practice
Simplify each expression by combining like terms.
1. 6x + 4x
2. – 5y + 2y
3. – 3m - 8(m + 1)
4. -81r - 2) + 6(r - 2) -
5. 9m - 7m + 13
Find the measure of x in each figure
Answer:x=40
Step-by-step explanation:
The measure of x in each figure, you need to solve the equation 4x + 20 = 180° by isolating the term with x and then solving for x. The solution is x = 40°, so the measure of x is 40 degrees.
The value of x. The given equation is 4x + 20 = 180°, representing a linear pair of angles.
Subtract 20 from both sides of the equation to isolate the term with x:
4x + 20 - 20 = 180 - 20
4x = 160°
Divide both sides of the equation by 4 to solve for x:
(4x)/4 = 160/4
x = 40°
Therefore, the solution to the equation is x = 40°.
What is the vertex of the function f (x) = x2 - 10x?
(5,-25)
(5.-75)
(-5,75)
(-5,25)
Option A
The vertex is (h, k) = (5, -25)
Solution:
Given function is:
[tex]f(x) = x^2-10x[/tex]
The vertex form is given as:
[tex]y = a(x-h)^2+k[/tex]
where (h, k) is the vertexRewrite the equation in vertex form
[tex]f(x) = x^2-10x[/tex]
Complete the square for [tex]x^2-10x[/tex]
Use the form [tex]ax^2+bx+c[/tex] to find the values of a, b, c
a = 1 , b = -10, c = 0
Consider the vertex form of a parabola
[tex]a(x+d)^2+e[/tex]
Substitute the values of a and b into the following formula to find "d" :
[tex]d = \frac{b}{2a}\\\\d = \frac{-10}{2 \times 1}\\\\d = -5[/tex]
Find the value of "e" using the formula,
[tex]e = c - \frac{b^2}{4a}\\\\e = 0 - \frac{(-10)^2}{4 \times 1}\\\\e = -25[/tex]
Substitute the value of a, d, e into vertex form
[tex]a(x+d)^2+e\\\\1(x-5)^2-25\\\\(x-5)^2-25[/tex]
Set y equal to above equation
[tex]y = (x-5)^2-25[/tex]
Compare the above equation with vertex form
[tex]y = a(x-h)^2+k[/tex]
[tex]y = (x-5)^2-25[/tex]
We find, h = 5 and k = -25
Thus the vertex is (h, k) = (5, -25)
Which undefined terms are needed to define parallel lines?
Point, line
Line, plane
Coplanar, line
Point, coplanar
The undefined terms needed to define parallel lines are "line" and "coplanar," as parallel lines lie in the same plane and never intersect.
To define parallel lines, the undefined terms needed are "line" and "coplanar."
Parallel lines are two lines that lie in the same plane and never intersect, which means they are coplanar and can be extended indefinitely.
So, the correct choice is: Coplanar, line.
Which algebraic expression represents “the difference of fifty-four and seven times a number”? 54 minus 7 n StartFraction 54 Over 7 n EndFraction 7 minus 54 n 54 + 7 n
Answer: 54-7n
Step-by-step explanation:
When we talk about mathematical language, the difference between two numbers, quantities or terms is the substraction operation.
For example, the difference between a and b is:
a-b
On the other hand, if we read a numer c times a number n, this means both numbers are multiplied.
For example:
c times n is:
(c)(n)
So, according to the explained above, “the difference of fifty-four and seven times a number n” is:
54-7n
Answer:
Answer: 54-7n
Step-by-step explanation:
When we talk about mathematical language, the difference between two numbers, quantities or terms is the substraction operation.
For example, the difference between a and b is:
a-b
On the other hand, if we read a numer c times a number n, this means both numbers are multiplied.
For example:
c times n is:
(c)(n)
So, according to the explained above, “the difference of fifty-four and seven times a number n” is:
54-7n
and recall the you can divide everything by 100 like 74/n n=100 so 74/100
see and pls give me brainiest
The Thompson family made this table when finding their net worth. Use this table to answer the question. Assets Value Liabilities Value Checking and Savings $2,378 Auto Loan $4,502 Automobile $8,765 Credit Cards $435 House Value $135,000 Mortgage $51,208 Furniture, etc. $13,900 Other Loans $1,234 Miniature Collection $238 What are the total assets? $160,281 $165,782 $167,345 $170,890
Answer:
160,281
Step-by-step explanation:
Just add the assets together.
Answer:
$160,281
Step-by-step explanation:
Assets Value Liabilities Value
Checking and Savings $2,378 Auto Loan $4,502
Automobile $8,765 Credit Cards $435
House Value $135,000 Mortgage $51,208
Furniture, etc. $13,900 Other Loans $1,234
Miniature Collection $238
Their total assets is obtained adding the values of each asset, as follows:
$2,378 + $8,765 + $135,000 + $13,900 + $238 = $160,281
- 4 + n/3 less than = to 7
Answer:
all work is pictured and shown
a restaurant automatically add an 18% tip to the bill. if the tip was $9, what was the bill before the tip was added, in dollars ?
Answer:
$50
Step-by-step explanation:
If the tip was $9, you can find the total price by dividing 9 by .18. .18 is 18% but as a decimal (move to the left two decimal places). 9/.18 = 50.
You can also check the answer by finding the 18% tip of $50. 50*.18=9.
kevin answered 54 out of 60 questions correct on his algebra quiz.what is his score as a percent ? round your answer to the nearest tenth of a percentage point.
Answer:
0.9 / 90%
Step-by-step explanation:
54/60
=0.9
To calculate Kevin's score as a percent, we divide the number of correct answers by the total number of questions and multiply by 100. The answer, rounded to the nearest tenth of a percent, is 90.0%.
Explanation:The subject of this question is Mathematics, particularly the area concerning percentage conversions. Kevin got 54 questions correct out of a total of 60 questions. To find Kevin's score as a percent, we first need to divide the number of questions he answered correctly (54) by the total number of questions (60). This gives us a decimal (0.9). To convert this decimal to a percent, we multiply by 100, which gives us 90%. This is Kevin's raw score. But the question wants the score rounded to the nearest tenth of a percent, so the final answer is 90.0%.
Learn more about Percentage Conversions here:https://brainly.com/question/32297219
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A restaurant sells drinks in 3 sizes of cups: small, medium, and large. The small cup costs $.89 and holds 9 ounces. The medium cup costs $1.29 and holds 12 ounces. The large cup costs $1.59 and holds 15 ounces. Which size cup costs the least per ounce?
Answer: the small cup cost the least per ounce
After calculating the cost per ounce for each cup size, we find that the small cup costs the least per ounce at $0.0989, making it the best value.
To determine which size cup offers the best value per ounce, we need to calculate the cost per ounce for each size. This can be done by dividing the cost of each cup by the number of ounces it holds.
For the small cup: $.89 / 9 ounces = $0.0989 per ounce
For the medium cup: $1.29 / 12 ounces = $0.1075 per ounce
For the large cup: $1.59 / 15 ounces = $0.106 per ounce
Now, comparing the cost per ounce for each cup size, we can see that the small cup offers the best value at $0.0989 per ounce.
b) Find the value of x. Show algebraic support.
hint: sum of the exterior angles is 360
Answer:
x = 16
Step-by-step explanation:
Given that the sum of the exterior angles is 360°
Sum the given exterior angles and equate to 360
47 + 93 + 46 + 3x + 62 + 4x = 360, that is
248 + 7x = 360 ( subtract 248 from both sides )
7x = 112 ( divide both sides by 7 )
x = 16
N=2pt3q2
Make p the subject
Answer:P=N/(2t3q2)
Step-by-step explanation:
N=2pt3q2
Divide both sides by 2t3q2
N/(2t3q2)=(2pt3q2)/(2t3q3)
N/(2t3q2)=p
Look at the following sequence.
128, 320, 800, 2000, . . .
If it is a geometric sequence, choose the common ratio. If it is not a geometric sequence, choose “not geometric.
Answer:
geometric sequence
Step-by-step explanation:
If the sequence is geometric then there must be a common ratio r between consecutive terms, that is
320 ÷ 128 = 2.5
800 ÷ 320 = 2.5
2000 ÷ 800 = 2.5
Since there is a common ratio r = 2.5 between consecutive terms.
Then the sequence is geometric
If p = 19 then
what does the
following
expression:
(2p - 10) = 2
equals?
Answer:
14
Step-by-step explanation:
(2(19)-10)=2
(38-10)=2
(28)=2
÷2. ÷2
14
Make x the subject of the formula
6x +a =5t(x+t)
Answer:
[tex]x=\frac{5t^2-a}{6-5t}[/tex]
Step-by-step explanation:
Given equation is
[tex]6x+a=5t(x+t)[/tex]
We have to make [tex]x[/tex] the subject of formula. That means we have to isolate [tex]x[/tex].
[tex]6x+a=5t(x+t)[/tex]
Distribute [tex]5t[/tex]
[tex]6x+a=5tx+5t^2[/tex]
Subtract [tex]a[/tex] both side we get,
[tex]6x+a-a=5xt+5t^2-a[/tex]
[tex]6x=5xt+5t^2-a[/tex]
Subtract [tex]5xt[/tex] both side we get,
[tex]6x-5xt=5xt-5xt+5t^2-a\\6x-5xt=5t^2-a[/tex]
Now, take [tex]x[/tex] common from left side of equation
[tex]x(6-5t)=5t^2-a[/tex]
Divide [tex]6-5t[/tex] both side,
[tex]\frac{x(6-5t)}{6-5t}=\frac{5t^2-a}{6-5t}\\\\x=\frac{5t^2-a}{6-5t}[/tex]
Select the correct answer.
How did the printing press help the Scientific Revolution?
O
A.
The printing press made it easier for scientists to conduct initial experiments.
The printing press allowed mass production of books that spread new scientific ideas.
C.
The printing press helped scientists keep their findings private.
D.
The printing press enabled scientists to create scientific societies to discuss their works.
Reset
Next
Answer:
i think correct answer is a
Which expression can be used to convert 80 US dollars Australian dollars
80 USD × (1.0343 AUD / 1 USD)
Solution:
To convert 80 US dollars into Australian dollars.
1 US dollar = 1.0343 AU dollar
1 AU dollar = 0.9668 US dollar
To find 80 US dollars into Australian dollars multiply 80 US dollars by 1.0343
80 AU dollars = 80 × 1.0343/ 1 USD
The expression is 80 USD × (1.0343 AUD / 1 USD)
Hence, the expression which is used to convert 80 US dollars to Australian dollars is 80 USD × (1.0343 AUD / 1 USD).
y=5x translate down 3 units
Answer:
y = 5x - 3.
Step-by-step explanation:
The value of y will go down by 3 units so it is
y = 5x - 3.
The equation y = 9 + 3x represents a line with a y-intercept of 9 and a slope of 3. To translate the line down 3 units, subtract 3 from every y-coordinate.
Explanation:The equation y = 9 + 3x represents a line with a y-intercept of 9 and a slope of 3. The y-intercept is the point where the line intersects the y-axis, and in this case, it is the point (0, 9). The slope of 3 means that for every increase of 1 on the horizontal axis, the line rises up 3 units on the vertical axis.
To translate the line down 3 units, we can subtract 3 from every y-coordinate. This means that the equation becomes y = 9 + 3x - 3, which simplifies to y = 6 + 3x.
Tower A is 90 feet tall. Tower B is 180 feet tall. Tower C is 5 times as tall as both Towers A and B combined. How tall is Tower C?
Answer:
1350
Step-by-step explanation:
I added tower A and B together (90+180) Which gives me 270. Then I did;
270 * 5= 1350 ft. Hope its correct!
Final answer:
Tower C is 5 times as tall as the combined height of Tower A (90 feet) and Tower B (180 feet), which together are 270 feet tall. Multiplying this by 5 gives us the height of Tower C, which is 1350 feet.
Explanation:
The question asks us to calculate the height of Tower C given the heights of Tower A and Tower B and the relationship between their heights. Tower A is 90 feet tall, and Tower B is 180 feet tall. According to the question, Tower C is 5 times as tall as both Towers A and B combined.
To find the combined height of Towers A and B, we simply add their heights:
Tower A height: 90 feetTower B height: 180 feetCombined height of Tower A and B: 90 + 180 = 270 feetNow, we need to calculate the height of Tower C:
Height of Tower C = 5 × (Height of Tower A + Height of Tower B)Height of Tower C = 5 × 270 feetHeight of Tower C = 1350 feetTherefore, Tower C is 1350 feet tall.
solve for x: 12x-20=6(x-20)-9x
Answer:
Step-by-step explanation:
12x-20=6(x-20)-9x
Opening bracket
12x - 20 = 6x - 120 - 9x
Collecting like terms
12x - 6x + 9x = -120 + 20
15x = -100
Dividing by 15
15x/15 = -100/15
x = -20/3
x = - 6 2/3
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
12x - 20 = 6( x - 20) - 9x
pay attention to the brackets as you simplify.
Let's work on it:
12x - 20 = 6x - 120 -9x
Collecting like terms to further simplify the equation.
12x - 6x + 9x = -120 + 20
15x = -100
Let's make x the subject formula by dividing through by 15
Therefore:
x = -100 / 15
Divide through by 5
x = -20 / 3
Since nothing can easily divide through, we turn it to a mixed fraction
x = - 6 2/3
( Minus six whole number, two divided by three)
Solve.
−35x+15>720
Drag and drop a number or symbol into each box to show the solution.
options:
< > -3/20, -1/4, 3/20, 1/4
Answer:
[tex]x<-\frac{1}{4}[/tex]
Step-by-step explanation:
The correct question is
Solve. −3/5x+1/5>7/20 Drag and drop a number or symbol into each box to show the solution
we have
[tex]-\frac{3}{5}x+\frac{1}{5} >\frac{7}{20}[/tex]
Solve for x
Multiply by 20 both sides
[tex]-12x+4 >7[/tex]
subtract 4 both sides
[tex]-12x >7-4[/tex]
[tex]-12x >3[/tex]
divide by -12 both sides
Remember that when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
[tex]x<-\frac{3}{12}[/tex]
simplify
[tex]x<-\frac{1}{4}[/tex]
Answer:
x < 1/4
Step-by-step explanation:
you're supposed to add or subtract the constant, and then do the same to the other constant, them bring down the coefficient and you'll get your answer.
hope this helps
can someone help me figure out this
Answer:
Therefore the first option gives the correct answer of a system of equations which has exactly one solution.
Step-by-step explanation:
i) the second option is 2x + 2y = 1 and -2x -2y = 1 . these two equation can be written as 2x + 2y = 1 and 2x + 2y = -1. Therefore we can see that that the expressions for used for the variables x and y are the same but the result is different. This is not possible and so there will be no solutions for these two equations
ii) the third option is 3x + y = -1 and 6x + 2y = -2. therefore these two equations can be written as 3x + y = -1 and 3x + y = -1 (dividing the second equation by 2) and thus we see that both the equations are exactly the same and hence these two equations will have an infinite number of solutions.
iii) the last option is 3x - 2y = 4 and -3x + 2y = 4. these two equations can be written as 3x - 2y = 4 and 3x - 2y = -4. Again we can see in this case that the two equations are exactly the same and therefore these two equations will have an infinite number of solutions.
iv) the remaining option is the first one 2x + y = 3 and 5x - y = 11. If we add the first equation to the second one we 7x = 14 and therefore x = 2. If we substitute x = 2 in the first equation we get (2 × 2) + y = 3, therefore y = -1.
Therefore the first option gives the correct answer of a system of equations which has exactly one solution.
1. Jason was asked to factor 25x2 - 1 on his algebra test. Which of the following
could best reflect Jason's answer?
The best reflection of Jason's answer among the given options is option : [tex]\((5x + 1)(5x - 1)\).[/tex]
The correct option is (H).
To factor [tex]\(25x^2 - 1\)[/tex], Jason likely used the difference of squares formula. This formula states that for any expressions [tex]\(a\) and \(b\), \(a^2 - b^2\)[/tex] can be factored as [tex]\((a + b)(a - b)\).[/tex]
In our case, [tex]\(a = 5x\) and \(b = 1\)[/tex]. So, we apply the difference of squares formula:
[tex]\[25x^2 - 1 = (5x)^2 - 1^2\][/tex]
[tex]\[= (5x + 1)(5x - 1)\][/tex]
This factorization is a result of recognizing that [tex]\(25x^2 - 1\)[/tex] can be written as [tex]\((5x)^2 - 1^2\),[/tex] fitting the difference of squares pattern.
Now, let's compare Jason's answer to the options given:
- Option F: [tex]\((5x-1)(5x-1)\)[/tex] is not correct. This represents the square of [tex]\(5x - 1\),[/tex] not a difference of squares.
- Option G: [tex]\((5x+1)(5x+1)\)[/tex]is not correct. This also represents the square of [tex]\(5x + 1\),[/tex] not a difference of squares.
- Option H:[tex]\((5x+1)(5x-1)\)[/tex] is correct. This represents the correct factorization using the difference of squares formula.
- Option J: Prime. This is incorrect because [tex]\(25x^2 - 1\)[/tex] can indeed be factored as [tex]\((5x + 1)(5x - 1)\).[/tex]
Therefore, the best reflection of Jason's answer among the given options is option H: [tex]\((5x + 1)(5x - 1)\).[/tex]
complete question given below:
Jason was asked to factor 25x^2-1 on his algebra test. Which of the following could best reflect Jason's answer?
F. (5x-1)(5x-1)
G. (5x+1)(5x+1)
H .(5x+1)(5x-1)
J .Prime
Solve for t: 3x8= t+15
Hey there!
I'm going to set up the equation slightly different.
[tex](3)(8)=t+5\\24=t+5\\t+15=24\\t+15-15=24-15\\t = 9 \checkmark[/tex]
Answer:
t = 9
Step-by-step explanation:
3x8 = t + 15
24 = t + 15
t = 24 - 15
t = 9