Answer:a
Step-by-step explanation:
The maximum amount that Amelia may have to pay back for the fraudulent charges of $1,600 made on her card is $50.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
According to the Fair Credit Billing Act (FCBA) in the United States, a consumer's liability for unauthorized charges on a credit card is limited to $50.
Amelia will be responsible for paying the first $50 of the fraudulent charges, but she will not be held responsible for any charges above that amount.
However, most credit card companies have a zero liability policy, which means that the consumer will not be responsible for any unauthorized charges made on their credit card.
Hence, the maximum amount that Amelia may have to pay back for the fraudulent charges of $1,600 made on her card is $50.
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What is true about triangle AMB?
It is congruent to triangle ABC.
It is an obtuse triangle.
It is an isosceles right triangle.
It is a scalene triangle.
Answer:option c
Step-by-step explanation:
An Isosceles Right Triangle is a right triangle that consists of two equal-length legs. Since the two legs of the right triangle are equal in length, the corresponding angles would also be congruent. Thus, in an isosceles right triangle, two legs and the two acute angles are congruent.
So the correct answer is option c. It is an isosceles right triangle.
What are the sides of an isosceles right triangle?
Since the two sides are equal it makes the corresponding angle congruent. Thus, in an isosceles right triangle two sides are congruent and the corresponding angles will be 45 degree each which sums to 90 degree. So the sum of three angles of the triangle will be 180 degrees.
What is the formula for an isosceles right triangle?
The area of the isosceles right triangle follows the general formula of the area of a triangle that is (1/2) × Base × Height. In ∆QPR shown above with side lengths PQ = QR = x where PQ represents the height and QR represents the base, the area of isosceles right triangle formula is given by 1/2 × PQ × QR = x2/2 square units.
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which ordered pair is a a solution of the equation ?
y= 3x+5
A. only (2,11)
B. only (3,13)
C. both (2,11) and (3,13)
D.neither
Answer:
A
Step-by-step explanation:
when you plug in 2,11
11 = 3*2 +5 that is correct
13 = 3*3 +5 that is not correct
only 2,11 works
Answer:
A. only (2,11)
Step-by-step explanation:
-7=z/-6 solve for z pls help it 7th grade math and it’s on khan ;cc
Answer:
42
Step-by-step explanation:
I think it's 42 because 42/-6 is -7
Answer:
z = 42
Step-by-step explanation:
Given -7 = z/-6
Cross multiply
-7 x -6 = z
Negative times negative gives you positive.
42 = z
z = 42
Bobby catches 8 passes in 3 football games. At this rate, how many passes does he
catch in 15 games?
Answer:
40 passes
Step-by-step explanation:
we know that
Bobby catches 8 passes in 3 football games
so
using proportion
Find out how many passes does he catch in 15 games
[tex]\frac{8}{3}=\frac{x}{15}\\\\x=8(15)/3\\\\x=40\ passes[/tex]
Answer: 40 passes
Step-by-step explanation:
Hi, to answer this we have to use proportions:
Proportion = Passes catched/ football games
Bobby catches 8 passes in 3 football games: 8/3
For 15 games: x/15
8 /3 = x/15
Solving for x
(8/3)15 =x
40 = x
He catches 40 passes in 15 games.
Feel free to ask for more if needed or if you did not understand something.
The distance of one lap around a school track is 1/4 miles. Karen walks 6 laps around the track and realizes it is in
poor condition. She complains and asks to see the manager of the track.
How many more laps must Karen walk to reach a total distance of 5.5 miles?
laps
Answer:
16
Step-by-step explanation:
because 5.5 is 22 laps and you do 22-6=16.
Choose the solution to this inequality.
Answer:
the answer is B
Step-by-step explanation:
you subtract 9/5 on both sides, find the common denominator which in this case would be 10. so 35-18 is 17. turn that into a mixed fraction and you get 1 and 7/10
at a local school the ratio of boys to girls was 8 to 9 if there were 117 girls how many boys were enrolled in the school?
i need help
The number of boys in the schools is 104.
Step-by-step explanation:
Given,
The ratio of boys and girls is 8:9
Number of girls = 117
Let us take,
Number of boys = 8x
Number of girls = 9x
To find the number of boys.
According to the problem,
9x = 117
or, x = [tex]\frac{117}{9}[/tex]
= 13
Hence, the number of boys = 13×8 = 104
+32. Convert 45°F to
The formula to convert Celsius to Fahrenheit is F
Celsius. Round to the nearest degree.
O A. 49°C
O B. 113°C
O C. -1°C
O D. 7°C
Answer:
Option D. 7°C
Step-by-step explanation:
Let the temperature in Fahrenheit (F) and the temperature in Celsius(C)
The formula to convert Fahrenheit to Celsius is ⇒ F = 1.8 C + 32
So, to Convert 45° F to Celsius, substitute with with 45° F
45 = 1.8 C + 32
Solve for C
1.8 C = 45 - 32
1.8 C = 13
C = 13/1.8 = 7.222
Rounding to the nearest degree ⇒ 45° F = 7° C
The answer is option D. 7°C
What is the value of y in the equation,
y = -3x + 4, if x = 3?
Answer:y= -5
Step-by-step explanation:
-3(3)+4= -5
-3(3)= -9
-9 + 4= -5
Answer:
-5
Step-by-step explanation:
y = -3x + 4
If x = 3
Plug the value into the expression
We have
y = -3(3) + 4
= -9 + 4
= -5
10 is decreased by four times the quantity of 8-3. One is an added to that result.
solve: 43x = 42
a: x= -3/2
b: x= -2/3
c: x=2/3
d: x=3/2
Answer: C
it's C) 2/3
Answer:
C! X = 2/3
Step-by-step explanation:
Next part on edge is
(C) X=1
what’s the formula? i don’t understand and i need help
Step-by-step explanation:
y+4= 4(x-3)
y+4 =4x- 12
4x-12 -y -4=0
4x-y -16=0
4x-y=16
(7+x)+7x simplify each expression
Step-by-step explanation:
[tex](7 + x) + 7x \\ = 7 + x + 7x \\ = 7 + (x + 7x) \\ = 7 + 8x \\ = 8x + 7[/tex]
3x^2(2x^2+3)=0
please help quick
Answer:
x=0 and x=sqrt(3/2)i
Step-by-step explanation:
3x^2(2x^2+3)=0
Make into two equations due to Zero Product Property:
3x^2=0 and 2x^2+3=0
x^2=0 2x^2=-3
x=0 x^2=-3/2
x=sqrt(3/2)i
Apples weigh 12 ounces each.Ronald bought 4 apples.How many pounds of apples did he buy?
what two numbers multiply into (-24) and adds up to (-10)?
Two numbers multiply into (-24) and adds up to (-10) are 2 & -12
Step-by-step explanation:
Here we need to find two numbers , with the following info:
Let us assume that two numbers are x & y .
two numbers multiply into (-24):
Two numbers are x and y , and there multiply is -24 i.e.
⇒ [tex]x(y) = -24[/tex]
two numbers adds up to (-10):
Two numbers are x and y , and there addition is -10 i.e.
⇒ [tex]x+y = -10[/tex] . .............. (1)
Let's solve this :
We know that , [tex](x+y)^2 = x^2 +y^2 +2xy[/tex]
⇒ [tex](x+y)^2 = x^2 +y^2 +2xy[/tex]
⇒ [tex](-10)^2 = x^2 +y^2 +2(-24)[/tex]
⇒ [tex]100 = x^2 +y^2 -48[/tex]
⇒ [tex]x^2 +y^2 =148[/tex]
Now,
⇒ [tex](x-y)^2 = x^2 +y^2 -2xy[/tex]
⇒ [tex](x-y)^2 = (148) -2(-24)[/tex]
⇒ [tex](x-y)^2 = (148) +48=196 = 14^2[/tex]
⇒ [tex]x-y = 14[/tex] .......... (2)
Let's solve equation 1 & 2 by adding (1)+(2):
⇒ [tex](x+y)+(x-y) = -10 +14[/tex]
⇒ [tex]2x=4[/tex]
⇒ [tex]x=2[/tex]
Putting value of [tex]x=2[/tex] in [tex]x-y = 14[/tex] :
⇒ [tex]2-y = 14[/tex]
⇒ [tex]y = -12[/tex]
Therefore, two numbers multiply into (-24) and adds up to (-10) are 2 & -12.
if a+b = 8, a²-b²=16, then ab is?
Answer:
a=5 and b=3
Step-by-step explanation:
a+b=8
okay, so the numbers that can make 8 are 4+4, 5+3, 6+2, and 7+1
Try 5+3
so plug them in
5+3=8
5*5=25
3*3=9
25-9=16
that's your answer
What customary unit would you use to estimate? A car is about 15 _____ long. inches meters yards feet
Answer:
feet
Step-by-step explanation:
Simplify the numerical expession 5-2 + 12 + 4?
Answer:
The answer is 19
Step-by-step explanation:
Answer:so easy its 19 it's right i promise you
f(4) if f(x) = 3x - 1
Answer:
f(4) = 11
Step-by-step explanation:
To evaluate f(4) substitute x = 4 into f(x)
f(4) = 3(4) - 1 = 12 - 1 = 11
You draw two cards from a standard deck of 52 cards. What is the probability of drawing a club and then a diamond consecutively from the deck without replacement? A) 13 51 B) 13 105 Eliminate C) 13 204 D) 13 408
Answer:
There are 13 cards for each suit so the first fraction is 13/52 and the next one is 13/51 as there is no replacement for the first card you pulled.
Multiplying them you get: 13/52*13/51= 169/2652,
Then you divide both sides by 13 to get: 13/204
So, the answer is C.
I hope this helps!
The probability of drawing a club and then a diamond consecutively from the deck without replacement is 13/204.
Option C is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Number of cards = 52
Number of clubs = 13
Number of diamonds = 13
Now,
The probability of drawing a club.
= 13/52
And,
The probability of drawing a diamond consecutively from the deck without replacement.
= 13/51
[ There will be only 51 cards in total since we are not replacing ]
Now,
The probability of drawing a club and then a diamond consecutively from the deck without replacement.
= 13/52 x 13/51
= 13/4 x 1/51
= 13/204
Thus,
13/204 is the probability of drawing a club and then a diamond consecutively from the deck without replacement.
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2x - y = 10
y = -x - 1
Solve the system of equations
A (9.8)
B (3.-4)
C no solution
Answer: option is C
Step-by-step explanation:
how so you slove 4^2x-1 = 8^x+2 ?
Answer:
x = [tex]\frac{ln(16)}{ln(2)}[/tex]
Step-by-step explanation:
[tex]4^{2x-1} =8^{x+2}[/tex]
ln both sides like you would add the same number to both sides to keep the equation equivalent
[tex]ln4^{2x-1} = ln 8^{x+2}[/tex]
using log rules, exponents can be brought down as a constant multiplying ln
[tex](2x-1)ln(4) =(x+2)ln(8)[/tex]
use distributive property to remove parentheses
2xln(4) - ln(4) = xln(8) + 2ln(8)
isolate x
2xln(4) - xln(8) = 2ln(8) + ln(4)
rewrite the logs using log rules: ln(x) - ln(y) = ln([tex]\frac{x}{y}[/tex]) and the exponent rule stated above
xln([tex]4^{2}[/tex])-xln(8) = ln([tex]\frac{8^{2} }{4}[/tex])
factor out x
x(ln[tex]4^{2}[/tex]-ln8) = ln([tex]\frac{8^{2} }{4}[/tex])
again use log rules: ln(x) - ln(y) = ln([tex]\frac{x}{y}[/tex])
x* [tex]ln(\frac{4^{2} }{8}[/tex][tex])[/tex]= ln([tex]\frac{8^{2} }{4}[/tex])
now simplify the stuff inside the ln parentheses
x*ln(2) = ln(16)
x = [tex]\frac{ln(16)}{ln(2)}[/tex]
Whats 33.33% into a decimal number
Answer:
0.3333
Step-by-step explanation:
To convert 33.33% to decimal, simply divide 33.33 by 100.
Answer: 0.3333
Step-by-step explanation:
33.33% = 33.33 / 100 = 0.3333.
Since 100 has 2 zeros, you count the decimal point in 33.33 forward twice.
35 more than 5 times a number, w, is -10, what is the number w?
Answer: w= -9
Step-by-step explanation:
Set up an equation, 5 times a number is 5w, and 35 more, means plus 35. All of this is equal to -10, so the equation will be:
5w+35=-10
Subtract 35 from both sides
5w=-45
Divide by 5 on both sides
w= -9
Hope this helped!
Concrete Works manufactures and sells cement trucks. For the previous year, their taxable income was $6,775,989.00. They have
to pay a federal tax rate of 35%, a state tax rate of 8%, and a local tax rate of 2%. As part of their loan package for the business, the
company has to pay $3,200,000.00 after the taxes are paid each year to go against the principal amount of the loan. The profit after
taxes and principal reduction can be determined by the equation
p() = 0.586041 - 3,200,000,
where x is their taxable income. How much profit does the company have after paying taxes and reducing the principal on the loan?
You have the right equation.
p(x) = 0.586041x - 3,200,000
3200000 of course represents the deduction from the loan
0.586041 - this number represents the amount of money left after taxes (58.6041% of the total is left)
We get this by taking into account all the taxes on top of another...
35% federal tax = 65% left
35% federal tax and 8% state tax = 65% x 92% left
35% federal tax and 8% state tax and 2% local tax = 65% x 92% x 98% left = 58.6041%
To get the profit plug in the given taxable income for x.
p(6775989) = 0.586041(6775989) - 3,200,000 = $771,007.37 approx.
answer: $771,007.37 approx.
What will be the new position of the given point (-6,8) after rotating 90° clockwise about the origin
Answer:( 8, 6)
Step-by-step explanation:
After rotating the point (-6,8) 90° clockwise about the origin, the new position of the point will be (8,6).
Explanation:When a point is rotated 90° clockwise about the origin in a two-dimensional Cartesian coordinate system, the new position of the point can be calculated by changing the sign on the y-coordinate and swapping the order of the x and y-coordinates. For your specific question, we are given the point (-6,8). So, the new position of the point after the rotation would be (8,6). This is because rotations in a clockwise direction can be considered as negative in mathematics, and portions rotate around the origin following the right-hand rule.
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Angle ABD measures (4x + 10)o. Angle ACD measures (5x − 2)o.
Circle E is shown. Angles A B D and A C D intercepts arc A D. Angles B A C and B D C intercepts arc B C.
What is the measure of arc AD?
Answer: 116°
Step-by-step explanation:
The measure of arc AD is 116 degrees and it can be determined by using the properties of a circle.
Given that,
Angle ABD measures (4x + 10).
Angle ACD measures (5x − 2).
Circle E is shown.
Angles ABD and ACD intercept arc AD.
Angles BAC and BDC intercept arc BC.
We have to determine,
What is the measure of arc AD?
According to the question,
Angle ABD measures (4x + 10).
Angle ACD measures (5x − 2).
Circle E is shown.
Angles ABD and ACD intercept arc AD.
Angles BAC and BDC intercept arc BC.
In the given condition, Angle ABD and Angle ACD have inscribed angles, intercepting the same arc then by the intercept arc property.
Angle ABD = Angle ACD
[tex]\rm 4x+10 = 5x-2\\\\4x-5x = -2-10\\\\-x = -12\\\\x=12[/tex]
The value of x is 12.
Therefore,
The measure of arc AD is,
[tex]\rm Arc \ AD =A ngle \ ABD + Angle \ ACD\\\\Arc \ AD = (4x+10) + (5x-2)[/tex]
Substitute the value of x,
[tex]\rm Arc \ AD = (4x+10) + (5x-2)\\\\Arc \ AD = 4(12) +10+5(12) -2\\\\Arc \ AD = 48+10+60-2\\\\Arc \ AD = 116 \ degree[/tex]
Hence, the measure of arc AD is 116 degrees.
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Cindy rode her bicycle 6 miles less than four times the number of miles that Scotty road. If Cindy rode his bicycle 42 miles, how many miles did Scotty ride?
Answer:
12
Step-by-step explanation:
42+6=48
48/4=12
You are writing the inequality for age. At an amusement park, children ages 3 and under are free. Write an inequality.
Answer:
Step-by-step explanation:
So you would do x as other ages, 3 as well obviously 3.
x < 3
THE < WILL HAVE A LINE UNDER IT!
The line stands for less than or EQUAL to. In this case, you have to be 3 or younger. Do not forget the line under the <. I am unable to type it!
The question is about writing an inequality to represent the ages of children who can enter an amusement park for free. The correct mathematical expression according to the given scenario is 'age ≤ 3'.
Explanation:The subject of the question deals with the practical application of inequalities in a real-world context. In this case, the inequality would represent the ages at which children could enter an amusement park for free. According to the amusement park policy, children ages 3 and under are free. In mathematical terms, this can be expressed as 'age ≤ 3'. The symbol '≤' represents 'less than or equal to', indicating that the age could be any number less than or equal to 3.
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