Answer:
362 kilometre
Step-by-step explanation:
Let a be the total cost of a journey
let b represent the total distance of a journey
$1.75 is a fixed charge of a journey
the additional charge is $0.10 for b distance ,hence total of additional charge is $.10 multiplied by b i.e 0.1 b
a=1.75+0.1b
a =37.90
37.90=1.75+0.1b
0.1b=37.90-1.75
0.1 b=36.15
b=36.15 /0.10
b=361.5
b=362 kilometre
For the journey that cost 21.80
21.80=1.75+0.1 b
0.1 b=21.80-1.75
0.1 b=20.05
b=20.05 /0.1
b=200.5
b =201 kilometre
Which statements are true about the circle shown? Check all that apply.
Step-by-step explanation:
A circle is only composed of the points on the borderThe distance around the circle is called circumferencey + 3 = –y + 9
y=1
y=3
y=6
y=9
Answer:
y = 3
Step-by-step explanation:
3+3 = -3+9
6=6
Answer:
y+y = 9-3
2y= 6
y=6/2 =3
y=3
Step-by-step explanation:
What number is a solution of the inequality c>5 use the number line to help answer the question
Answer:
I attached a file for the number line answering the question.
Step-by-step explanation:
Answer:
Any number more than 5
Step-by-step explanation:
Four students were asked to write an expression which has terms that have a greatest common factor of 8c. The expressions
provided by the students are shown below.
Tanya
32C+16cd
Wyatt
8c-48cd
Xavier
36c-240
Yang
8c+40
Which student wrote the correct expression?
Tanya
Wyatt
Xavier
Yang
Answer:
WyattStep-by-step explanation:
Greatest common factor is a largest possible number or function that divides all values of a function without a remainder. According to the students, only Wyatt wrote the correct expression that has 8c as its greatest common factor.
According to Wyatt expression;
8c-48cd
It can be seen that 8c is the greatest function that can go in both monomials (8c and 48cd). On factoring out 8c we have;
[tex]8c-48cd = 8c(1-6d)[/tex]
since no other values can go in the values in parenthesis (1-6d), this shows that 8c is the greatest common factor of the function hence only Wyatt wrote the correct expression compare to other students.
According to Xavier and Yang equation, c is cannot be factored from the equation thereby making both the wrong expression.
For Tanya function 32c+16cd, its greatest common factor is 16c not 8d making the equation wrong as well.
Answer:
Wyatt
Step-by-step explanation:
it's on edge
hi can someone help me with this I will thank u so much and give u stars and a thank u
Find the products mentally.
6.(0.8).2
(4.5) . (0.6) .4
Answer:
i think it is .64
Step-by-step explanation:
PLEASEEE HELP!!!!!!!!
Answer:
Number 2
Step-by-step explanation:
So you first gotta open the parentheses: When you multiply them you add the exponents
You get x^5/6 + 2x^7/3
Answer:
#2
Step-by-step explanation:
So you first gotta open the parentheses: When you multiply them you add the exponents
You get x^5/6 + 2x^7/3
A store is having a sale on walnuts and chocolate chips. For 12 pounds of walnuts and 2 pounds of chocolate chips, the total cost is $45. For 3 pounds of walnuts and 5 pounds of chocolate chips, the total cost is $18. Find the cost for each pound of walnuts and each pound of chocolate chips.
cost for each pound of walnuts:
cost for each pound of chocolate chips:
Answer:
Each pound of walnuts cost $3.50 and each pound of chocolate chips cost $1.50
Step-by-step explanation:
Let the cost of one pound of walnuts = $w
and the cost of one pound of chocolate chips = $c
Cost of 12 pounds of walnuts and 2 pounds of chocolate chips = $45
12w + 2c = 45 ------(1)
Cost of 3 pounds of walnuts and 5 pounds of chocolate chips = $18
3w + 5c = 18 --------(2)
Multiply equation (2) by 4 then subtract it from equation (1)
(12w + 2c) - (12w + 20c) = 45 - 72
-18c = -27
c = [tex]\frac{27}{18}[/tex]
c = $1.5
Substitute c = 1.5 in equation (1),
12w + 2(1.5) = 45
12w = 45 - 3
w = [tex]\frac{42}{12}[/tex]
w = $3.5
Therefore, each pound of walnuts cost $3.5 and each pound of chocolate chips cost $1.5
1-)a medida do ângulo raso em minutos é:
obs:pra transformar em graus pra minutos deve-se multiplicar por 60
a) 21 400 b) 15 800 c) 10 400 d) 10 800
Answer:
d) 10 800
Step-by-step explanation:
Um ângulo é considerado raso quando sua medida é exatamente 180 graus, visto que cada grau equivale a 60 minutos, para obter a medida de um ângulo raso em minutos basta multiplicar 180 por 60:
[tex]180 *60=10800\ minutos[/tex]
A resposta correta é d) 10 800.
PLEASE HELP! URGENT!
The equation and graph of a polynomial are shown below. The graph reaches its maximum when the value of x is -2. What is the y-value of this maximum?
y = -x^2-4x-1
Answer:
-11
Step-by-step explanation:
y= -2 squared - 4 x 4 - 1
y=4-16-1
y=-11
It is known that one of the factors of -24 is negative. How can it be determined if the chosen factor was the correct negative factor?
A) Check by adding the two binomial factors. If the middle term is -10x, not 10x, switch the signs of the factors of -24.
B) Check by adding the two binomial factors. If the middle term of 10x, not -10x, switch the signs of the factors of -24.
C) Check by multiplying the two binomial factors. If the middle term is -2x, not 2x, switch the signs of the factors of -24.
D) Check by multiplying the two binomial factors. If the middle term is 2x, not -2x, switch the signs of the factors of -24.
Answer:
Step-by-step explanation:
C bc
Answer:
The answer would be D
I had had this answer before
Hope this helped
how do you solve for 8(s+3)=72
Answer:
s=6
Step-by-step explanation:
first you distribute the 8
8s+24=72
Then subtract 24 from both sides
8s=48
then divide both sides by 8 to get
s=6
How many times should she expect to roll a number that is greater than 4
Find the TOTAL surface area.
*
41 cm
18 cm
18 cm
Answer:
3600
Step-by-step explanation:
41*18*4=2952, 2952+(18*18*2)=3600.
What is the median of the data: 1, 2, 3, 3, 5, 6, 8
What is the mode of the data: 1, 2, 3, 3, 5, 6, 8
What is the range of the data: 1, 2, 3, 3, 5, 6, 8
i need help fast
Median: The middle number in the data set when the
data set is written from least to greatest.
Since our data set is already written from least to greatest,
we can just look for the number that appears in the middle.
In this case, it would be 3.
Mode: The number that appears
most frequently in a data set.
Notice that the number 3 appears twice in the data set and no other
number appears more than once. So the mode is 3.
Range: The difference between the greatest number in
the data set and the least number in the data set.
Since the greatest number is 8 and the least number is 1,
the range of the data set will be 8 - 1 or 7.
Change the following mixed expressions to fractions and then simplify the complex fractions.
y-(4x^(5))/(x^(2)-xy)
Answer:
see below
Step-by-step explanation:
[tex]y-\frac{4x^5}{x^{2}-xy }[/tex] find common denominator and rewrite 1st part as a fraction
[tex]\frac{y(x^{2}-xy) }{x^{2}-xy }[/tex] [tex]-\frac{4x^5}{x^{2} -xy}[/tex]
[tex]\frac{x^{2}y - xy^2 -4x^5 }{x^{2} -xy}[/tex]
[tex]\frac{x(xy-y^2-4x^4}{x(x-y)}[/tex]
[tex]\frac{xy-y^{2}-4x^4 }{x-y}[/tex]
The expression [tex]y -\frac{4x^5}{x^2 - xy}[/tex] can be simplified as [tex]\frac{yx - y^2-4x^4}{x-y}[/tex]or [tex]y -\frac{4x^4}{x - y}[/tex].
What is Fraction?Fractions are numbers which has two parts, numerator and the denominator and is of the form p/q. Here, the number on the top p is called the numerator and the one on the bottom q is called the denominator.
Fractions can also be expressed and decimals and the reverse can also be applied.
Given expression is a mixed expression. We have to first change it into fractions and then have to simplify the complex fractions.
Given expression is [tex]y -\frac{4x^5}{x^2 - xy}[/tex].
First do the cross multiplication.
[tex]y -\frac{4x^5}{x^2 - xy}[/tex] = [tex]\frac{[y(x^2 - xy)]-4x^5}{x^2-xy}[/tex]
= [tex]\frac{(yx^2 - xy^2)-4x^5}{x^2-xy}[/tex]
= [tex]\frac{x(yx - y^2-4x^4)}{x(x-y)}[/tex]
= [tex]\frac{yx - y^2-4x^4}{x-y}[/tex]
= [tex]\frac{y(x - y)-4x^4}{x-y}[/tex]
= [tex]y -\frac{4x^4}{x - y}[/tex]
Hence the mixed expression given as [tex]y -\frac{4x^5}{x^2 - xy}[/tex] can be simplified as [tex]\frac{yx - y^2-4x^4}{x-y}[/tex] or [tex]y -\frac{4x^4}{x - y}[/tex].
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Roger logs the number of miles he runs each week . The mean number of miles roger ran in October was 30.2
Answer:
what is the question
Step-by-step explanation:
Find an angle 0 coterminal to 801°, where 0° < 0 < 360°.
Answer:
[tex]\alpha' = 81^{\circ}[/tex]
Step-by-step explanation:
Angle is periodical function, so that following condition is satisfied:
[tex]\alpha = n \cdot 360^{\circ}[/tex]
[tex]n = \frac{801^{\circ}}{360^{\circ}}[/tex]
[tex]n = 2.225[/tex]
The position of the coterminal angle is:
[tex]n' = 2.225 - 2[/tex]
[tex]n' = 0.225[/tex]
[tex]\alpha' = n' \cdot 360^{\circ}[/tex]
[tex]\alpha' = (0.225)\cdot (360^{\circ})[/tex]
[tex]\alpha' = 81^{\circ}[/tex]
Here are the first four terms of an arithmetic sequence.
5
12
19
26
Write down an expression, in terms of n, for the nth term of the sequence.
Answer:
nth term = 7n - 2
Step-by-step explanation:
The first 4 term of the arithmetic sequence is 5, 12 , 19 and 26. The expression in terms of nth term that model this sequence can be express below
The nth term of the arithmetic sequence form can be represented as follows.
nth = a + (n - 1)d
where
a = first term
d = common difference
Therefore,
a = 5
d = 12 - 5 = 7 or 19 - 12 = 7 or 26 - 19 = 7
nth = a + (n - 1)d
nth term = 5 + (n - 1)7
nth term = 5 + 7n - 7
nth term = 7n - 2
9x − 9y = 18
y = 8
Solve a system of equations using substitution.
Answer: x = 10
Step-by-step explanation:
Answer: x=10
Step-by-step explanation: 9(8)= 72, 72+18=90, 90/9= 10
Q1 Use desmos to construct a histogram for the following data set. Then
describe the shape of the distribution.
** Provide a screenshot of your graph
80, 84, 68, 64, 57, 88, 61, 72, 76, 80, 83, 77, 78, 82, 65, 70, 83,78
73, 79, 70, 62, 69, 66, 79, 80, 86, 82, 73, 75, 71, 81, 74, 83, 77, 73
Answer:
Step-by-step explanation:
What is the area of the parallelogram?
A parallelogram with base of 20 centimeters, height of 15 centimeters, and side length 21 centimeters.
How do I find out if this is an infinite solution
4(x-2) + 7 = 4x - 1
Answer:
x = all real numbers, infinite solutions
Step-by-step explanation:
4(x-2) + 7 = 4x - 1
Distribute
4x -8+7 = 4x-1
Combine like terms
4x -1 = 4x-1
Subtract 4x from each side
4x-1 -4x = 4x-1-4x
-1 = -1
This is always true so there are infinite solutions for x
A grocery store sells a party mix in 640 g bags. The ratio of pretzels to corn
chips is 5: 3. Determine the mass of the pretzels in the bag.
Answer: 400g
Step-by-step explanation:
The ratio of pretzels to corn chips is 5:3, which means that pretzels make up 5/8 of the party mix.
Mass of pretzels = 5/8 x 640g = 400g
How many solutions does this equation have? -8x= -8x .
Answer:
Infinite
Step-by-step explanation:
No matter what number you plug into x, since it is multiplied by the same coefficient on both sides, the two sides will still be equal. Therefore, there are infinite solutions. Hope this helps!
Answer:
This equation has infinite solutions.
Step-by-step explanation:
The equation parts are literally the same.
-8x=-8x
If x=2
-16=-16
If x=1,000
-8,000=-8,000
and so on...
Clare has $5,003 in a savings account that earns 8% interest, compounded annually.
To the nearest cent, how much interest will she earn in 4 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer: Clare earned $6806.53.
Step-by-step explanation:
The formula given to us is the formula for compounded interest.
You can substitute the values given in the first part of the problem into the equation to find B, the final amount:
[tex]B = p*(1+r)^t\\\\B = 5003 * (1 + 0.08)^4[/tex]
Note that 8% interest is expressed as 0.08 because it is a percentage of a whole number.
Now, use a calculator to raise 1.08 to the fourth degree to get this:
[tex]B = 5003 * 1.360488\\B = 6806.526[/tex]
As such, Clare earned $6806.53 in interest after 4 years.
A locker combination consists of two non-zero digits. The digits in a combination are not repeated and range from 2 through 9.
Event A = the first digit is an odd number
Event B = the second digit is an odd number
If a combination is picked at random with each possible locker combination being equally likely, what is P(B|A) expressed in simplest form?
A. 3/8
B. 3/7
C. 1/2
D. 4/7
Answer:
3/7 (b)
Step-by-step explanation:
If a combination is picked at random with each possible locker combination being equally likely, the conditional probability P(B|A) is 3/7.
What is conditional probability?Conditional probability is defined as the likelihood of an event or outcome occurring, based on the occurrence of a previous event or outcome.
Probability of event A = P(the first digit is an odd number) = 4/8
Given that event A has already occurred, we need to calculate the probability of the occurrence of probability B.
The total possible outcomes are 7 (out of 8 one is used up in event A).
Favorable outcomes are 3 (out of 4 one is used up in event A).
P(B|A) = 3/7
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The sum of the numbers j,k, and m is 115. The ratio of j to k is 2:7 and the ratio of k to m is 14:5. What is the value of k?
E. 61
F. 70
G. 78
H. 83
Answer:
f. 70
Step-by-step explanation:
I did it the easy way, so k has to be able to divide by 14 and 7. So i just divided all the answers by 7 first. Then 14. Only 70 is able to divide by 7 and 14. Lastly I just check to see if it works. 2:7 = 20=70. 14:5 = 70:25. 20+70+25=115.
James has 14{,}500\text { g}14,500 g14, comma, 500, start a text, space, g, end text of sand in his sandbox. He brings home another 7{,}400\text { g}7,400 g7, comma, 400, start a text, space, g, end text of sand from the beach to add to his sandbox. How many kilograms of sand does James have in his sandbox now? \text{kg}kg
Question:
James has 14,500g of sand in his sandbox. He brings home another 7,400g of sand from the beach to add to his sandbox. How many kilograms of sand does James have in his sandbox now?
Answer:
The quantity of sandbox James has is 21.9kg
Step-by-step explanation:
Given
Initial quantity of sandbox = 14,500 g
Additional quantity = 7,400 g
Required
Total quantity of sandbox in kg
Tp get the total quantity of sandbox, we simply add in the initial and additional quantity of sandbox together;
This is represented mathematically as follows;
Total = Initial Quantity + Additional Quantity
Total = 14,500 g + 7,400 g
Total = 21,900 g
But the question says the answer should be in kg
1000 g is equivalent to 1 kg
21,900 g will be equivalent to [tex]\frac{21,900}{1,000} kg[/tex]
[tex]21,900g = \frac{21,900}{1,000} kg[/tex]
[tex]21,900g = 21.9 kg[/tex]
Hence, the quantity of sandbox James has is 21.9kg
What is the range of the function?
Answer:
the range of this function is d
{3,9,12}
HELP ASAP
There are 20 students on a school bus, 4 sixth graders, 10 seventh graders, and 6 eighth graders. Two students are chosen at random.
What is the probability of choosing two eighth graders?
Answer:
Idk I’m sry
Step-by-step explanation: