Answer:
78 girls
Step-by-step explanation:
Ratio is 3:4, so that means the total number of 182 can be divided into 7 parts. 182 divided by 7 is 26, so each part is 26. The ratio of girls is 3, so 3 times 26 is 78. You can check this by putting (3*26)/(4*26) simplifies to 78/104 to 3/4 which is the right ratio
Answer:
78 girls
Step-by-step explanation:
the person below me explained it
which inequality represents the graph below s 75
Answer:
Top Left
Step-by-step explanation:
Shaded circle means it will be Greater than or equal to or Less then or equal to. The answwers are less that or equal to 75 so s is less than or equal to 75
Answer:
It is s less than and equal to 75
Step-by-step explanation:
I say that because on 75 ther is a full circled dot instead of open dot.
Ed Employee has weekly earnings of $544.00, and he claims 2 exemptions. How much tax is withheld?
$19.81
$17.56
$18.73
$16.57
Answer:
17.56
Step-by-step explanation:
The amount of tax withheld from Ed Employee's weekly earnings is approximately $36.02. Option D is the right choice.
To calculate the amount of tax withheld, we need to determine the applicable tax rate based on the employee's weekly earnings and the number of exemptions claimed.
Given:
- Weekly earnings: $544.00
- Number of exemptions claimed: 2
First, let's find the applicable tax rate from the provided table based on the weekly earnings. The table provides tax rates for various income ranges.
Since the weekly earnings fall between $540 and $560, we can interpolate to find the tax rate corresponding to this range.
From the table:
- For earnings between $540 and $560, the tax rate is between $19.81 and $17.56.
Using linear interpolation:
[tex]\[ \text{Tax rate} = \$19.81 - \left( \frac{560 - 544}{560 - 540} \times (\$19.81 - \$17.56) \right) \]\[ = \$19.81 - \left( \frac{16}{20} \times ( \$19.81 - \$17.56 ) \right) \]\[ = \$19.81 - \left( \frac{4}{5} \times \$2.25 \right) \]\[ = \$19.81 - \$1.80 \]\[ = \$18.01 \][/tex]
Now, to find the tax withheld:
[tex]\[ \text{Tax withheld} = \text{Tax rate} \times \text{Number of exemptions} \]\[ = \$18.01 \times 2 \]\[ = \$36.02 \][/tex]
Therefore, the amount of tax withheld from Ed Employee's weekly earnings is approximately $36.02. Option D is the right choice.
Question:-
Ed Employee has weekly earnings of $544.00 and he claims 2 exemptions. How much tax is withheld?
A. $19.81
B. $17.56
C. $18.73
D. $36.02
Prove using good format: log(nb)x=(log(b)x)/(1+log(b)n)
Answer:
[tex]{{$log_{b} \left(x\right)$}}\div( 1 + {{log_{b} \left(n\right)}})[/tex] = [tex]{{$log_{b} \left(x\right)$}}\div( {{log_{b} \left(b\right)}} + {{log_{b} \left(n\right)}})[/tex]
[tex]{{$log_{b} \left(x\right)$}}\div( {{log_{b} \left(b\right)}} + {{log_{b} \left(n\right)}})[/tex] = [tex]{{$log_{b} \left(x\right)$}}\div( {{log_{b} \left(nb\right)}})[/tex] = [tex]{{$log_{nb} \left(x\right)$}}[/tex]
Step-by-step explanation:
i) [tex]$\log_{nb} x[/tex] = [tex]{{$log_{b} \left(x\right)$}}\div( 1 + {{log_{b} \left(n\right)}})[/tex] = [tex]{{$log_{b} \left(x\right)$}}\div( {{log_{b} \left(b\right)}} + {{log_{b} \left(n\right)}})[/tex]
ii) therefore simplifying i) we get
[tex]{{$log_{b} \left(x\right)$}}\div( {{log_{b} \left(b\right)}} + {{log_{b} \left(n\right)}})[/tex] = [tex]{{$log_{b} \left(x\right)$}}\div( {{log_{b} \left(nb\right)}})[/tex] = [tex]{{$log_{nb} \left(x\right)$}}[/tex]
iii) Hence the equation is proved.
Suppose the bank sent mr gomez a notice whenever the amount in his account dropped to 15 or less how would the graph in the example change?
A graph tracking Mr. Gomez's account balance over time would include a horizontal line indicating the $15 threshold for bank notices. Payments or withdrawals dropping the balance to this level would be highlighted, showing when notices are sent.
Explanation:Suppose the bank sent Mr. Gomez a notice whenever the amount in his account dropped to $15 or less. To visualize how the graph in the example would change with this information, first, we should understand that the account's balance is being tracked over time. Typically, a graph representing an account balance over time would have time on the horizontal axis and the account balance on the vertical axis.
If a notice is sent whenever the account drops to $15 or less, this adds a conditional behavior to the graph.
Specifically, there would be a horizontal line at the $15 mark indicating this threshold. When Mr. Gomez makes payments or withdrawals that drop the account balance to this level or below, it could be highlighted or represented differently (using a different color or pattern) on the graph to indicate when the bank sent a notice. Therefore, the primary change to the graph is the visual representation of these notices being sent at or below the $15 mark.
Mr. Gomez will receive a notice from the bank whenever the amount in his checking account falls below $20.
The inequality is x < 20, which means that the amount in Mr. Gomez's account (represented by x) must be less than $20 for him to receive a notice from the bank.
The graph of the inequality is shaded to the left of 20 (shown by the open circle) because any number less than 20 satisfies the inequality.
Let x represent the amount in Mr. Gomez's checking account.
The bank sends a notice when the account drops below $20, so we can express this mathematically as x < 20.
Graph the inequality on a number line. Since 20 is not included in the solution, we use an open circle at 20.
Shade the region to the left of 20 because any number in that region is less than 20 and satisfies the inequality.
Question:-
Mr. Gomez gets a notice from the bank when the amount in his checking account drops below $20. For what amounts will Mr. Gomez receive a notice from the bank? Use words and symbols to represent the situation. Let x represent the amount in Mr. Gomez's account. When x is less than $20, the bank will send a notice. x<20 Graph the inequality to show all of the solutions.
Why is the graph in the example shaded to the left?
What is the balance after Anna writes check #1620? A) $1536.24 B) $1606.42 Eliminate C) $1734.81 D) $1760.61
The correct answer is B) [tex]$1606.42[/tex]. The balance after Anna writes check is
[tex]$1606.42[/tex].
To solve this problem, we need to follow the transactions in Anna's checking account to determine the balance after check #1620 is written. Let's assume that the initial balance before any transactions is $0.00.
Let's check each option:
A) [tex]$1536.24[/tex][tex]- $1452.77 = $83.47[/tex] (This cannot be the correct balance after check #1620 because it does not match the balance after check #1612.
B)[tex]$1606.42 - $1452.77 = $153.65[/tex] (This is the amount spent on groceries, indicating that the balance after check #1612 is correct and no additional funds were withdrawn by check #1620.)
C)[tex]$1734.81[/tex][tex]- $1452.77 = $282.04[/tex] (This would mean an additional $282.04 was withdrawn after the groceries purchase, which is not possible since we are looking for the balance after one check, #1620.)
D) [tex]$1760.61[/tex][tex]- $1452.77 = $307.84[/tex] (This would also mean an additional amount was withdrawn, which is not possible for the same reason as option C.) Therefore, the only logical balance that matches our calculations after check #1620 is option B) $1606.42, which implies that check #1620 did not change the balance from what it was after check #1612. This means that check #1620 was for the same amount as the groceries purchase ($153.65), which brought the balance back to $1606.42 after the groceries were bought
A spinner has equally sized sections, of which are gray and of which are blue. The spinner is spun twice. What is the probability that the first spin lands on gray and the second spin lands on blue ?
Answer:
25%
Step-by-step explanation:
50% chance for spin one to be gray and 50% chance for spin two to be blue. Put them together for that order and you get 25%.
Answer:
Let's Take 8 sections and in which 6 are grey and 2 are blue.
The probability that the first spin lands on blue = 2/8 = ¼
The probability that the second spin lands on gray = 6/8 = ¾
The probability that the first spin lands on blue and the second spin lands on gray is
(¼)(¾) = 3/16
These events are independent, so you can just multiply the probabilities
Dilation D Subscript V, two-fifths was performed on a rectangle. How does the image relate to the pre-image? Select three options. The image is a reduction because 0 < n < 1. The side lengths of the image are two-fifths the size of the corresponding side lengths of the pre-image. The angles of the image are two-fifths the size of the angles of the pre-image. The center of dilation is at point Q. The base of the image is two-fifths the size of the base of the pre-image.
Answer:
The selected options: 1 , 2 and 5
Step-by-step explanation:
Dilation 2/5 was done on a rectangle, and the center of dilation is V
We will check which of the options is true:
Option 1: The image is a reduction because 0 < n < 1 (True)
Because 2/5 = 0.4 < 1, so, the image will be smaller than the pre-image.
Option 2: The side lengths of the image are two-fifths the size of the corresponding side lengths of the pre-image. (True)
Because pre-image and image are similar so their sides will be proportional, so the pre-image is 2/5 of the image.
Option 3: The angles of the image are two-fifths the size of the angles of the pre-image. (Wrong)
Because the angles of similar rectangles are congruent not proportional.
Option 4: The center of dilation is at point Q. (Wrong)
Because the center of dilation is V.
Option 5: The base of the image is two-fifths the size of the base of the pre-image. (True) same explanation of option 2
Answer:
ITS A,B, AND E
Step-by-step explanation:
SUN GOT IT RIGHT ON EDGE
Solve the inequality 2/3x-1/6>1/2 Graph the solution on a number line.
Good evening
Answer:
x > 1
Step-by-step explanation:
2/3x-1/6>1/2 if we multiply both sides by 6 we will get
4x - 1 > 3 ⇔ 4x > 4 ⇔ x > 1
look at the photo below for the graph.
:)
what are the solutions of 3 x^2-x+4=0
Answer:
The solution of given equation for x is (0.16 + i 1.14) , (0.16 - i 1.14)
Step-by-step explanation:
Given as :
The quadratic equation is as 3 x² - x + 4 = 0
Since The given equation is quadratic
∵, Standard quadratic equation is ax² + bx + c = 0
Now, x = [tex]\frac{-b\pm \sqrt{b^{2} - 4\times a\times c}}{2\times a}[/tex]
Comparing the equation
i.e x = [tex]\frac{-(-1)\pm \sqrt{(-1)^{2} - 4\times 3\times 4}}{2\times 3}[/tex]
or, x = [tex]\dfrac{1\pm \sqrt{(1-48)}}{6}[/tex]
Or, x = [tex]\dfrac{1\pm \sqrt{(-47)}}{6}[/tex]
Or, x = [tex]\dfrac{1\pm i6.85}{6}[/tex]
Or, x = (0.16 + i 1.14) , (0.16 - i 1.14)
So, The solution of given equation for x = (0.16 + i 1.14) , (0.16 - i 1.14)
Hence, The solution of given equation for x is (0.16 + i 1.14) , (0.16 - i 1.14) . Answer
In one hour miles ran 16 1/4 miles. How far could miles run in 2 1/2 hours?
Answer:
40.625 miles covered in 2.5 hours
Step-by-step explanation:
Given that [tex]16 \frac{1}{4} [/tex]
miles was ran in one hour, then to find miles run in 2.5 hours, we just have to multiply:
[tex]16 \frac{1}{4} [/tex]
by [tex]2 \frac{1}{2} [/tex]
This means that miles run in 2½ hours
[tex] = 16 \frac{1}{4} \times 2 \frac{1}{2} [/tex]
[tex] = \frac{65}{4} \times \frac{5}{2} [/tex]
[tex] = \frac{325}{8} [/tex]
[tex] = 40 \frac{5}{8} = 40.625[/tex]
Therefore 40.625 miles will be run in 2.5 hours.
what is the slope of the line that passes through the points (-10,0) and (-13,3)?
Answer:
3/-3 basically -1
Step-by-step explanation:
do the y2-y1 / x2-1 formula and put the coordinates in and that is:
3-0 / -13- -10
or
3/-3
or -1
BTW: if the numerator and denominator are both negative,
Answer:
Step-by-step explanation:
(-10,0) and (-13,3)
Slope m = (y2 - y1)/(x2 - x1)
y2 = 3, y1 = 0, x2 = -13, x1 = -10
: m = (3 - 0)/(-13 + 10)
m = 3/-3
m = -1
Slope m = -1
Solve 3/5y=6 ''''''''''''''''''''''''''
Answer:
y = 10
Step-by-step explanation:
The question is a simple equation and ought to be 3y/5 = 6 ( in stead of 3/5y=6)
Multiply through by the lowest common multiple (LCM) of denominator (which equals 5)
5 × 3y/5 = 6 × 5
3y = 30
Divide through by 3
3y/3 = 30/ 3
y = 10
Therefore, y = 10
Check
3y/5 = 6
y = 10
3(10)/5 = 6
30/5 = 6
6 = 6
Ideally a te 2/3 of a bag of candy. She ate 20 pieces how many were originally in the bag
Can I get the correct answer for this please.
Lorrie is playing a board game. She started her playing piece five spaces from the starting circle. During the remainder of the game, she advanced only one space per turn. Which of the following shows how the number of spaces, y, changes as the turn, x, changes
Answer:
D.W
Step-by-step explanation:
in the diagram above
Answer:
40°Step-by-step explanation:
We have parallel lines.
Angles 1 and 2 are alternate angles.
With parallel lines, alternate angles are congruent.
Therefore
[tex]m\angle1=m\angle2[/tex]
[tex]m\angle1=2x+20,\ m\angle2=3x+10\\\\2x+20=3x+10\qquad\text{subtract 20 from both sides}\\\\2x+20-20=3x+10-20\\\\2x=3x-10\qquad\text{subtract}\ 3x\ \text{from both sides}\\\\2x-3x=3x-3x-10\\\\-x=-10\qquad\text{change the signs}\\\\x=10\\\\m\angle1=2(10)+20=20+20=40[/tex]
Complete the following proof.
Given: m ∠XOY = m ∠WOV
m YZ = m ZW
Prove: m XZ = m ZV
Answer:
Step-by-step explanation:
m ∠XOY = m ∠WOV
so, m XY = m WV --- (i)
{ If angle subtended by two arcs at the center are equal, then length of arc are equal}
m YZ = m ZW ------- (ii) {given}
Add (i) and (ii)
XY + YZ = WV + ZW
XZ = ZV
Hence proved.
Answer:
Given that m ∠XOY = m ∠WOV then m XY = m WV, because central angles are equal to arcs.
Given: m YZ = m ZW
The addition of arcs XY and YZ make arc XZ, that is: m XY + m YZ = m XZ
The addition of arcs ZW and WV make arc XZ, that is: m WV + m ZW = m ZV
Then, m XZ = m ZV
Jordan can type 96 words in 2 min. How many words can she type in 5 min?
Answer:
240 words
Step-by-step explanation:
96÷2=48
48×5=240
Jordan can type 240 words in 5 minutes, based on her typing speed of 48 words per minute.
Jordan can type 96 words in 2 minutes. To find out how many words she can type in 5 minutes, we need to calculate her typing speed per minute and then multiply it by 5 minutes. First, we find the typing speed per minute:
Speed = Total words / Total time = [tex]\frac{96}{2}[/tex] = 48 words per minute.
Now, we multiply this speed by 5 minutes to find out how many words Jordan can type in that time:
5 minutes x 48 words/minute = 240 words.
So, Jordan can type 240 words in 5 minutes.
Fine the value of x in the triangle.
A.) 84
B,) 87
C.) 93
D.) 115
Answer:
The correct answer is B. 87°
Step-by-step explanation:
Let's recall that the interior angles of a triangle add up to 180°,
therefore, we have:
∠x + 28 + 65 = 180
∠x = 180 - 65 -28
∠x = 180 - 93
∠x = 87°
The correct answer is B. 87°
What is another equation for y=3/4x+4 so it has many solutions
Answer:
3x-4y=-16
Step-by-step explanation:
Solve 12|x|−7=812|x|-7=8
Answer:
Step-by-step explanation:
It's unclear, but if is the question
12x-7=8
then
x=[tex]\frac{5}{4}[/tex]
Answer:
[tex]\huge{\boxed{x=\pm\dfrac{5}{4}}[/tex]
Step-by-step explanation:
[tex]12|x|-7=8\qquad\text{add 7 to both sides}\\\\12|x|-7+7=8+7\\\\12|x|=15\qquad\text{divide both sides by 12}\\\\\dfrac{12|x|}{12}=\dfrac{15}{12}\\\\|x|=\dfrac{15:3}{12:3}\\\\|x|=\dfrac{5}{4}\iff x=\pm\dfrac{5}{4}[/tex]
For the right triangle shown, the lengths of two sides are given. Find the third side. Leave your answer in simplified,
radical form.
b = 9, C = 16
Answer:
a = 5√7 units
Step-by-step explanation:
Let's find the value of a, using the Pythagorean Theorem, this way:
c = Hypotenuse = 16
a² = c² - b²
a² = 16² - 9²
a² = 256 - 81
a² = 175
√a² = √175
a = √25 * 7
a = 5 √7 units
The length of rectangle is eight more than twice its width. The perimeter is 96 ft. What are the dimensions
L = length
W = width
L = 2(2W + 8)
W = 2W
Perimeter: 96 = 4W + 16 + 2W
96 = 6W + 16
80 = 6W
13.33 = W
Plug this into the equation:
2(13.33) + 8
26.67 + 8 or 34.67 = L
Solve the rational equation quantity 3 times x plus 2 end quantity divided by 5 equals quantity 2 times x minus 1 end quantity divided by 3.
x = 1
x = 3
x = 6
x = 11
Answer:
[tex]x=11[/tex]
Step-by-step explanation:
Given the equation
[tex]\dfrac{3x+2}{5}=\dfrac{2x-1}{3}[/tex]
You can interpret this equation as proportion.
Cross multiply:
[tex]3(3x+2)=5(2x-1)\\ \\9x+6=10x-5\ [\text{Use distributive property}]\\ \\9x-10x=-5-6\\ \\-x=-11\\ \\x=11[/tex]
Final answer:
The rational equation (3x + 2)/5 = (2x - 1)/3 simplifies to 9x + 6 = 10x - 5, which further simplifies to x = 11 after rearranging and combining like terms.
Explanation:
To solve the rational equation (3x + 2)/5 = (2x - 1)/3, we first find a common denominator to eliminate the fractions. Multiplying each side of the equation by the common denominator of 15, we get 9x + 6 = 10x - 5. Subtracting 9x from both sides and adding 5 gives us x = 11. Therefore, the correct solution to the given equation is x = 11.
PLEASE HELPPPPPP! WILL GIVE BRAINLIEST!!!!
The graphs of f(x) = 5x and its translation, g(x), are shown on the graph.
On a coordinate plane, 2 exponential functions are shown. f (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 1) and goes through (1, 5) and (2, 25). g (x) approaches y = negative 10 in quadrant 2 and increases into quadrant 1. It goes through (0, negative 9), (1, negative 5), (2, 15).
What is the equation of g(x)?
g(x) = 5x – 9
g(x) = 5x – 10
g(x) = 5x – 9
g(x) = 5x – 10
Answer:
[tex]g(x) = 5^{x} -10[/tex]
Step-by-step explanation:
See the attached figure which represents the problem.
At first we should know the rules of translation
1) {f(x) + a} is f(x) shifted up (a) units
2) {f(x) – a} is f(x) shifted down (a) units
3) {f(x + a)} is f(x) shifted left (a) units.
4) {f(x – a)} is f(x) shifted right (a) units.
The given function : [tex]f(x) = 5^{x}[/tex]
As shown on the attached graph the function g(x) is below f(x)
Which mean f(x) is shifted down.
by comparing two points with the same x-coordinate like (1,5) and (1,-5)
So, the difference will be = 5 - (-5) = 10
by applying the second rule and substitute with a = 10
g(x) = f(x) - 10
[tex]g(x) = 5^{x} -10[/tex]
Answer:
D option
Step-by-step explanation:
find the values of x and y that make the quadrilateral a parallelogram
To determine if a quadrilateral is a parallelogram, we need to compare the lengths of the sides and the measures of the angles.
Explanation:A quadrilateral is a parallelogram if and only if both pairs of opposite sides are equal in length and both pairs of opposite angles are congruent. To find the values of x and y that make the quadrilateral a parallelogram, we need to compare the lengths of the sides and the measures of the angles.
For example, if we have a quadrilateral with sides x, y, z, and w, we can check if it is a parallelogram by comparing x and z and y and w. If x = z and y = w, then the quadrilateral is a parallelogram.
Similarly, we can check the angles by comparing the measures of opposite angles. If the measures of the opposite angles are equal, then the quadrilateral is a parallelogram.
Learn more about Parallelograms here:https://brainly.com/question/32441125
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The values of x and y that make the quadrilateral a parallelogram are [tex]\(x = 114^\circ\)[/tex] and [tex]\(y = 66^\circ\)[/tex].
In a parallelogram, opposite angles are congruent. Therefore, if one angle measures [tex]\(66^\circ\)[/tex], its opposite angle must also measure [tex]\(66^\circ\).[/tex] Similarly, if another angle measures [tex]\(114^\circ\)[/tex], its opposite angle must also measure [tex]\(114^\circ\)[/tex].
Let's denote the measures of the angles as follows:
- Angle opposite to x is [tex]\(114^\circ\)[/tex]
- Angle opposite to y is [tex]\(66^\circ\)[/tex]
Since the opposite angles are congruent, we have:
[tex]\[ x = 114^\circ \]\[ y = 66^\circ \][/tex]
Therefore, the values of x and y that make the quadrilateral a parallelogram are [tex]\(x = 114^\circ\)[/tex] and [tex]\(y = 66^\circ\)[/tex].
7p²-30p + 8 how do you factor this trinomial
Step-by-step explanation:
7p²-30p+8
=(p-4)(7p-2)
help, please! Thankyou!!!!
Answer: C
Step-by-step explanation: simply apply the distributive property to each half of the expression to be left with terms that can be combined.
(8x + 16y)/2 = 4x + 8y
4(x - y) = 4x - 4y
(4x + 8y) + (4x - 4y) = 4x + 4x + 8y - 4y
= 8x + 4y => C
Answer:
[tex]\frac{8x+16y}{2}+4(x-y)=\frac{2*4x+2*8y}{2}+4*x-4*y\\\\=\frac{2*(4x+8y)}{2}+4x-4y\\\\=4x+8y+4x-4y=8x+4y[/tex]
Step-by-step explanation:
what is the value of the expression 2 -12
Answer:
-10
Step-by-step explanation:
2-12 =
-12+2 = -10
You earn $35 for washing 7 cars. How much do you earn from washing 4 cars?
Answer:20$
Step-by-step explanation:
Answer:
You earn $20.
Step-by-step explanation:
35 divided by 7 is 5.
5 times 4 is 20.
6r-r+8(15-r)+23-6
is -3r+137 equivalent to the given expression
and explain how the expressions are or not.
Answer:
Therefore,
[tex]6r-r++(15-r)+23-6 = -3r+137[/tex] i.e
[tex]6r-r+8(15-r)+23-6[/tex] and
[tex]-3r+137[/tex] are Equivalent .
Step-by-step explanation:
To Check:
[tex]6r-r+8(15-r)+23-6[/tex] and
[tex]-3r+137[/tex] is Equivalent or Not
Solution:
Consider,
[tex]6r-r+8(15-r)+23-6[/tex]
Step 1 . Apply Distributive Property , A(B+C)=AB+AC we get
[tex]6r-r+8\times 15-8\times r+23-6[/tex]
[tex]6r-r+120-8r+23-6[/tex]
Step 2 . Combining Like Terms i.e r terms and the numbers we get
[tex]6r-r-8r+120+23-6[/tex]
[tex]-3r+137[/tex]
Which is Equivalent to the given expression
[tex]-3r+137[/tex]
Therefore,
[tex]6r-r+8(15-r)+23-6= -3r+137[/tex] i.e
[tex]6r-r+8(15-r)+23-6[/tex] and
[tex]-3r+137[/tex] ..........are Equivalent .