The number of miles traveled by Kai's family as required in the task content is; 73 miles.
How many miles was travelled on the third day?It follows from the task content that the number of miles traveled by Kai's family on the third day is to be determined.
On this note, since the family travelled 365 miles on the first day and travelled 20% farther on the third day;
The number of miles traveled on the third day can be modelled as;
= 20% of 365
= (20 / 100) × 365
= 73 miles.
On this note, the number of miles traveled on the third day is; 73 miles.
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Holly buys a $22 shirt for 20% off. The tax rate in her city is 6.5%. What is the total amount she paid for the shirt? Round to the nearest cent.
A.$2
B.$18.74
C.$24.10
D.$8.50
The total amount Holla paid for the shirt is: B. $18.74
Given the following data:
Cost of shirt = $22Discount = 20% Tax rate = 6.5%To find the total amount she paid for the shirt:
First of all, we would determine the discount on the shirt:
[tex]Discount = \frac{20}{100} \times 22\\\\Discount = 0.2 \times 22[/tex]
Discount cost = $4.4
[tex]Selling\; price = Cost\;price - Discount \\\\Selling\; price = 22 - 4.4[/tex]
Selling price = $17.6
Next, we would determine how much tax is to be paid:
[tex]Tax \;cost = \frac{6.5}{100} \times 17.6\\\\Tax \;cost = 0.065 \times 17.6[/tex]
Tax cost = $1.444
[tex]Total\;amount = selling \;price + tax\;cost\\\\Total\;amount = 17.6 + 1.444[/tex]
Total amount = $18.74
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Which expression is equivalent to −3(−56) Group of answer choices −157 156 −87 157
Answer:
D.15r7
Step-by-step explanation:
multiplying two negatives equals a positive: (-)x(-)=(+)
-3rx(-5r^6)
simplifing to
3rx5r^6
then combime like terms to get
15r7
What is the area of 4 inches and 1 inches
Which values from the set (-6,-4,-2,0,2,4,6) Satisfy this inequality? 3+1/2x>4
Answer:-6 and -4
Step-by-step explanation:
How do you do
24 divided by 0.012
Answer:
24 ÷ 0.012 =2000
Step-by-step explanation:
24 ÷ 0.012
= 2000
What transformations take place by graphing the function below in respect to its parent function? Check all that apply.
Answer:
- Vertical Stretch
-Left 7 Units
-Up 2 units
Step-by-step explanation:
Because the formula is being multiplied by a number larger than 1, it is being vertically stretched. In this problem, it is being vertically stretched by a factor of 3/2.
When X is being added to in the parenthesis, it causes the graph to shift to the left. Since the equation has (X+7), the graph shifts left by 7 units.
When a number is added to the equation, it causes the graph to shift upwards. In this example, 2 is being added, therefore, the graph shifts upwards by 2 units.
That means there is a vertical stretch by a factor of 3/2, a horizontal translation left 7 units, and a vertical translation up 2 units
Provide the missing statement and reasons for the following proof: Given: 9(x−6)+41=75Prove: x=889
Answer:
Reason 1 ) Subtraction Property of Equality
Reason 2 ) Substitution Property of Equality
Statement 3 ) 9x - 54 = 34
Reason 4 ) Addition Property of Equality
Reason 5 ) Division Property of Equality
Step-by-step explanation:
Find F2 if FX equals X +1 squared
Answer:
9
Step-by-step explanation:
f(x) = (x+1) ^2
f(2) = (2+1)^2
f(2) = 3^2 = 9
how do you write the equation 5x-7y=2x-7
Answer:
I suppose you want the answers for x and y, so here they are. x=-7/3, while y=1.
Step-by-step explanation: I just factored depending on the variable I mainly focused on.
What is the slope of the line represented in the table of values?
A.)9
B.)118
C.)19
D.)18
(PLEASE HELP)
Answer:
Slope = 9
Step-by-step explanation:
Point (3,27) and (5,45)
m = (45-27)/(5-3)
18/2 = 9
Answer:
9
Step-by-step explanation:
To find the slope of a line, one of the methods is to look for the rise over run, or the change in y over the change in x. If we just look at the first few numbers on the chart, we can see that the change in y (for the first two numbers) is 18, and the change in x (for the first two numbers) is 2. So our slope is 18/2, or 9.
I think this is correct, I hope it helped!! :3
convert the following numbers from base 10 to base 2
1256
10988
Answer:
Steps To Convert From Base 10 to Base 2-
Divide the given number (in base 10) with 2 until the result finally left is less than 2.
Traverse the remainders from bottom to top to get the required number in base 2.
Hope this helps you get the answers!
if the equation is x²+y²-12x-10y=-12 what is the center and radius of the equation and give the graph
Answer:
center (6;5); R=7
Step-by-step explanation:
Step-by-step explanation: Subtract
12 from both sides of the equation. x 2 − 12 x + y 2 + 10 y = − 12 , Complete the square for x 2 − 12 x .
Which of the following is an example of a linear inequality? *
a. 2x - 4 = 6
b. 7x > 3
c. 2x^2 + 3 = 4x
d. x^3 + x^2 - 3 = 0
Answer:
It would be B because that is the only answer that contains a inequality symbol.
Step-by-step explanation:
Answer:
Option A is a Linear Pair
Step-by-step explanation:
A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable x is 1.
Hope it is helpful....keep in mind significant figures. 6.020*0.0510 (use a calculator)
Answer:
0.30702
Have a good day.
Answer:
0.030567
Step-by-step explanation:
carry on learning
PLS HELP ME WITH THIS QUESTION
Answer:
-0.88
Step-by-step explanation:
(w^2/x - 3)÷ 10.z
(-6/1.2 - 3)÷ 10. -6/7
(-5-3)÷ 9.14
(-8)÷ 9.14
-8/9.14
= -0.88
(x^2 + kx + 10) ÷ (x - 1) has a remainder of 4.
I have no idea how to do this, I've tried Synthetic division, remainder theorem etc. and cant figure it out.
9514 1404 393
Answer:
k = -7
Step-by-step explanation:
Attached are both synthetic division and remainder theorem solutions. Either way, you find the remainder is k+11, which you want to have a value of 4.
k +11 = 4
k = -7 . . . . . subtract 11 from both sides
_____
The second attachment shows the long division that validates this result.
write (4y^4)^2 without exponents
Answer:
(16y)^2
16y^2
--> 256y
Step-by-step explanation:
I give briniest for the right answer if you don't know the answer don't answer it.
Answer:
yes, no because it's not a decimal with only one digit in front of the decimal mark, no because the decimal point is too far forward.
A:
i:
5.1 x 10^6
9.75 x 10^10
1.2 x 10^-7
5.008 x 10^-6
ii:
a. 3200000000000
b. 50700
c. 0.00056
d. 0.083
B:
3,2,4,1
1,2,3,4 -ik but it's what i got
1,3,4,2
C:
uranus, neptune, saturn, jupiter
answer choice B
D:
8 x 10^-5
9 x 10^6
3 x 10^-5
7 x 10^-5
5.5 x 10^5
3.2 x 10^5
8.2 x 10^5
7.3 x 10^-3
0.0000832
3120000
0.009
0.0085
8000000
0.05
0.067
57.5
Step-by-step explanation:
PLEASE HELP ITS MATH THANK YOUUUU HURRY
Answer:
3 miles
Step-by-step explanation:
2 divided by 2 is 1 and 6 divided by 2 is 3.
Given the function
7x + 6 x < 0
f(x)
7x + 12 x > 0
Calculate the following values:
f(-1) =
f(0) =
f(2)=
Hanum
[tex]\left \{ {{7x+6\:\:\:\:\:\:x<0} \atop {7x+12\:\:\:\:x\geq 0}} \right.[/tex]
[tex]f(-1)[/tex]
Solve
[tex]-7\cdot \:1+6x<0[/tex] Swap the negative sign
[tex]-7+6x<0[/tex] Multiply the numbers
[tex]-7+6x+7<0+7[/tex] Add 7 to both sides
[tex]6x<7[/tex] Simplify
[tex]\frac{6x}{6}<\frac{7}{6}[/tex] Divide both sides by 6
[tex]x<\frac{7}{6}[/tex] Simplify
[tex]-7\cdot \:1+12x<0[/tex] Swap the negative sign
[tex]-7+12x<0[/tex] Multiply the numbers
[tex]-7+12x+7<0+7[/tex] Add 7 to both sides
[tex]12x<7[/tex] Simplify
[tex]\frac{12x}{12}<\frac{7}{12}[/tex] Divide both sides by 12
[tex]x<\frac{7}{6}[/tex] Simplify
How would I solve 3 - 1 3/8 = ?
[tex] \begin{cases}{{ \large{ \blue{ \rm{{↬}}}}}} \: \rm \large \: \: 3 \: - \: 1 \times \frac{3}{8} \\ \\ {{ \large{ \blue{ \rm{{↬}}}}}} \rm \large \: \: \frac{3}{1} \: - \: \frac{11}{8} \\ \\ {{ \large{ \blue{ \rm{{↬}}}}}} \rm \large \: \: \frac{24 \: - \: 11}{8} \\ \\ {{ \large{ \blue{ \rm{{↬}}}}}} \rm \large \: \: \frac{13}{8} \end{cases}[/tex]
Step-by-step explanation:
you first change the mixed fraction into improper fraction after that you find the LCM .1 * 8 will give you 8 so you multiply 8 * 3 to get 24 8 will divide its self once so you will multiply 1 and11 to get 11 and subtract it from 24to get 13/8 and divide.what is the length of the diagonal of the rectangle?
Answer:
C
Step-by-step explanation:
i just added
can u answer this please?
thanks! ☺️
perform the indicated operations and simplify.
PLEASE HELP
will mark brainliest
Answer:
f(x) = x - 2
Step-by-step explanation:
If you notice, the f(x) or y value is 2 less than the x value for every x value listed. This means that x - 2 = y. Just by rearranging this equation, you are given an equation in the linear form y = mx + b:
y = x - 2
Since the y coordinate is being represented by f(x) in the equation, as it is a function, the answer would be:
f(x) = x - 2
6+(-4 3/4)+(-2 1/8)
Fraction in simplest form
Answer:
6-43/4-21/8
6(-68-21/8)
48-107/8
-59/8
In a certain university, there was a certain number of students who attended the general orientation. The number of male students was five times as many as that of female students. When 324 male students left the orientation, the number of female students became twice as many as that of male students. How many students attended the orientation?
Answer:
fewfefdfgtrusergwer h4yr sfd gw gr.
Step-by-step explanation:
The number of students who attended the orientation in that considered university was 432
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For this case, first, let we assume the number of male students and female students who attended the orientation:
m = number of male students attending the orientationn = number of female students attending the orientationFrom the description, we have:
m = 5 times n = 5n
and
(m - 324)'s twice = n
or 2(m-324) = n
Thus, we get system of two equations as:
[tex]m = 5n\\2(m-324) = n[/tex]
Substituting value of m from first equation in second, we get:
[tex]2(5n - 324) = n\\10n -648 = n\\\\n = \dfrac{648}{9} =72[/tex]
Putting this value of n back in first equation, we get:
[tex]m = 5n = 5 \times 72 = 360[/tex]
Assuming that there were only two gendered students in university orientation (males and females), we get:
Total number of students who attended the orientation = m + n = 360 + 72 = 532
Thus, the number of students who attended the orientation in that considered university was 432
Learn more about system of equations here:
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If E is the circumcenter of MNP, find each measure.
Answer:
NE = 37
MD = 3[tex]\sqrt{65}[/tex]
Step-by-step explanation:
NOTE: This explanation assumes you have basic knowledge of circumcenters, the Pythagorean Theorem, and pre-algebra
Assuming the calculations you so kindly did for us are correct:
To find NE
Simply plug x, which you found was 5, into the equations 13x-28, then you have the length of the line NE, which is 37.
So
NE = 37
To find MD
A little bit trickier, but still simple. You end up having to use the Pythagorean Theorem. Since NE = ME, you know that ME is equal to 37. Since triangle MED is a right triangle, and you're given on the the side ED (which is 28), and the hypotenuse, ME (which is 37), you can say that
28^2 + b^2 = 37^2
784 + b^2 = 1369
b^2 = 585
b = 3[tex]\sqrt{65}[/tex]
(In which b is MD)
So
MD = 3[tex]\sqrt{65}[/tex]
f(5)-f(3) = x^2+7x-22
Answer:
your answer is going to be -158
Step-by-step explanation:
(5)-(3)^2+7×-22=-158
20x^{2} +124x+24[/tex]
Factorization is the process of breaking an integer down into its components or divisors, and further calculation can be defined as follows:
Given:
[tex]20x^{2} +124x+24[/tex]
To find:
solve the given problem
Solution:
[tex]\to \bold{20x^{2} +124x+24}\\\\\to \bold{4(5x^{2} +31x+6)}\\\\\to \bold{4(5x^{2} +31x+6)}\ \ \ \ \ \ \ \ \ \ \ 5\times 6= 30 \ \ and\ \ 30 \times 1= 30\\\\\to \bold{4(5x^{2} +(30+1)x+6)}\\\\\to \bold{4(5x^{2} +30x+1x+6)}\\\\\to \bold{4(5x(x +6)+1(x+6)}\\\\\to \bold{4((x +6) (5x+1)}\\\\[/tex]
Therefore, the final answer is "[tex]\bold{4((x+6)(5x+1))}[/tex]".
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Find the measure of side IJ
Answer:
IJ units
Step-by-step explanation:
What else is there..?