Answer:
yes
Step-by-step explanation:
distribute 3(6x-2) to get 18x-6-7= 18x-13
combine -6 and -7 to get 18x - 13 = 18x - 13
hope this helps :))
The cost for children under twelve at a certain buffet restaurant is a base charge of a dollar plus twenty-five cents for each year of the child's age. Represent this cost as an expression, using y to stand for the child's age in years. Then use the expression to find the cost for a child who is nine.
Answer:
[tex]Cost = 1 + 0.25y[/tex]
[tex]Cost =3.25[/tex]
Step-by-step explanation:
Given
[tex]Base\ Amount = \$ 1[/tex]
[tex]Additional = 25cents[/tex] of child's age
Solving (1):
Determine the cost function.
Represent the years as y.
So, we have:
[tex]Additional = 25cents[/tex] * y
Convert 25 cents to dollars.
[tex]25 cents = 25 * \$0.01[/tex]
[tex]25 cents = \$0.25[/tex]
So, we have:
[tex]Additional = \$0.25 * y[/tex]
The cost amount is then:
[tex]Cost = Base\ Amount + Additional[/tex]
[tex]Cost = 1 + 0.25y[/tex] --- This is the cost function
Solving (b): Cost of 9 years old.
In this case;
[tex]y = 9[/tex]
Substitute 9 for y in [tex]Cost = 1 + 0.25y[/tex]
[tex]Cost =1 + 0.25 * 9[/tex]
[tex]Cost =1 + 2.25[/tex]
[tex]Cost =3.25[/tex] --- This is the cost for a child of 9
Answer:
1+0.25y, 2.25
Step-by-step explanation:
You would express the added 25 cents times the age of the child since the age is represented by the variable y, you would put 0.25y
then to find what the cost is for a nine year old you would multiply 9 by 25 and at the end of multiplying you would move the decimal from zero two times to the left. In case you don't understand how you could move the decimal from zero, there is always a decimal to the right of a whole number where the number ends its just not seen because there is no decimal in the number to represent. The decimal would still be there just it would be invisible but it becomes visible when there is a decimal number to represent.
hope this helps someone, keera
Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select all of the true statements. Original Segment EF is twice as long as segment AB. Segment CD is twice as long as segment FG The Measure fo Angle HEF is twice the measure of Angle DAB. The area of EFGH is twice the area of ABCD
The question is incomplete. Here is the complete question.
Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select all of the true statements.
A. Segment EF is twice as long as segment AB.
B. Segment CD is twice as long as segment FG
C. The measure of angle HEF is twice the measure of angle DAB
D. The length of segment EH is 16 units.
E. The area of EFGH is twice the area of ABCD.
Answer: A. Segment EF is twice as long as segment AB
D. The length of segment EH is 16 units
E. The area of EFGH is twice the area of ABCD
Step-by-step explanation: One quadrilateral which is scaled copy of another quadrilateral means both quadrilateral are similar, i.e., they have congruent angles (same angles) but different sides lengths.
Comparing side GH with side CD, you notice GH's length is twice the side CD. This relationship between each corresponding sides is called scale factor.
Analysing statements above:
A. This statement is correct because segments EF and AB are corresponding sides, so EF will be twice as much as AB;
B. This is incorrect because they are not corresponding sides, so they are not related;
C. Is incorrect because measure of angle in similar quadrilateral has the exact same angle;
D. Statement is correct because if segment AD is 8 units, the corresponding segment EH will be:
EH = 2 x 8 = 16 units
E. Tis statement is correct because area of quadrilateral ABCD is proportional to the area of quadrilateral EFGH by the scale factor, therefore, area of EFGH is twice the area of ABCD.
Monique made several batches of soup for a potluck supper each batch requires 3/4 of a pounds of potatoes and she used a total of six 1/2 pounds of potatoes how many batches of sifted Monique make which division and multiplication problems could represent this scenario check all that apply
Answer:
The answer is below
Step-by-step explanation:
Monique made several batches of soup for a potluck supper. Each batch required 3\4 of a pound of potatoes, and she used a total of 6 1/2 pounds of
potatoes. Solve the division problem.
What is 13/2 ÷ 3/4
Answer:
a) 3\4 of a pound of potatoes can make a batch of potluck supper. Monique used 6 1/2 pounds of potatoes in total. Let n represent the number of batches of soup that was made, hence:
[tex]n=\frac{total\ number\ of\ potatoes\ used}{6 1/2 pounds ofpotatoes\ to\ make\ a\ batch\ of\ soup} \\\\n=\frac{6\frac{1}{2} }{\frac{3}{4} } =\frac{\frac{13}{2} }{\frac{3}{4} } =\frac{13}{2}*\frac{4}{3} =8.67[/tex]
Therefore Monique made about 8 batches of soup
b) [tex]\frac{\frac{13}{2} }{\frac{3}{4} } =\frac{13}{2}*\frac{4}{3} =\frac{26}{3} =8.67[/tex]
Answer:
b and e are the best options and are true
Peyton recorded her height twice a year. She grew 5 1/4 inches in 3 1/2 years. What was Peyton’s average growth rate per year?
Height in which Peyton grew in 3 ½ years = 5 ¼ inches
Height Peyton grows each year =
= 5 ¼ ÷ 3 ½
= 21/4 ÷ 7/2
= 21/4 × 2/7 ( division of fractions is the same as multiplication with reciprocal )
= 42/28
Let us simplify this by dividing the numerator and denominator by 2 .
= 42 ÷ 2 / 28 ÷ 2
= 21/14
= 1 7/14 inches
Peyton's average growth rate per year was 1 7/14 per year . Let us simplify it .
= Both 7 and 14 are divisible by 2 .
So , 1 whole 7 ÷ 2 / 14 ÷ 2
= 1 whole 1/2
= 1 1/2
Therefore , Peyton's average growth rate per year was 1 1/2 inches .
Evaluate the following expressions for m=-3 n=4 p=2
Answer:
-8
Step-by-step explanation:
Given:
m=-3 n=4 p=2
Missing Equation:
p2 + mn
Find:
Value of equation
Computation:
p2 + mn
⇒ (2)2 + (-3)(4)
⇒ 4 + (-12)
⇒ 4 - 12
-8
help me yo!
A bag held 2 orange marbles, 3 black marbles, and 5 pink marbles. I drew a pink marble and did not replace it. What is the probability of drawing a pink marble next?
A) 2/5
B) 4/9
C) 1/2
D) 5/9
A bag held 3 white marbles, 1 orange marble, and 2 green marbles. Anna drew a white marble and did not replace it. What is the probability of drawing a green marble next?
A.) 1/6
B.) 1/5
C.) 1/3
D.) 2/5
A locker combination has three nonzero digits, and digits cannot be repeated. If the first digit is 3, what is the probability that the next digit is odd?
A.) 4/9
B.) 1/5
C.) 1/2
D.) 5/9
My locker combination has three digits. None of the digits are zero. What is the probability that the first digit of my locker combination is less than 4?
A.) 3/10
B.) 1/3
C.) 2/5
D.) 4/9
Answer:
1 is B 2 is D
Step-by-step explanation:
5+3+2=10
but since you took a pink one out its now 9 you also need to subtract 1 from the 5 since you didn't replace it
so your chances of getting a pink one are 4/9
Ian purchased cans of soda for a party he was having. For every 12 cans of soda she payed $4.98. What is the cost per can of soda?
The cost of each can of soda is $
i need this quik and now
$.40
Step-by-step explanation:
if you want the full one it's .415
There were 29 students available for the woodwind section of the school orchestra. 11 students could play the flute, 15 could play the clarinet and 12 could play the saxophone. four could play the flute and the saxophone, four could play the flute and the clarinet, and 6 could play the clarinet and the saxophone. 3 students can play none of the three instruments. Find the number of students who could play: a. All the instruments b. Only the saxophone c. The saxophone and clarinet, but not the flute d. Only one of the clarinet, saxophone, or flute.
Answer:
a. The number of students who can play all three instruments = 2 students
b. The number of students who can play only the saxophone is 0
c. The number of students who can play the saxophone and the clarinet but not the flute = 4 students
d. The number of students who can play only one of the clarinet, saxophone, or flute = 4
Step-by-step explanation:
The total number of students available = 29
The number of students that can play flute = 11 students
The number of students that can play clarinet = 15 students
The number of students that can play saxophone = 12 students
The number of students that can play flute and saxophone = 4 students
The number of students that can play flute and clarinet = 4 students
The number of students that can play clarinet and saxophone = 6 students
Let the number of students who could play flute = n(F) = 11
The number of students who could play clarinet = n(C) = 15
The number of students who could play saxophone = n(S) = 12
We have;
a. Total = n(F) + n(C) + n(S) - n(F∩C) - n(F∩S) - n(C∩S) + n(F∩C∩S) + n(non)
Therefore, we have;
29 = 11 + 15 + 12 - 4 - 4 - 6 + n(F∩C∩S) + 3
29 = 24 + n(F∩C∩S) + 3
n(F∩C∩S) = 29 - (24 + 3) = 2
The number of students who can play all = 2
b. The number of students who can play only the saxophone = n(S) - n(F∩S) - n(C∩S) - n(F∩C∩S)
The number of students who can play only the saxophone = 12 - 4 - 6 - 2 = 0
The number of students who can play only the saxophone = 0
c. The number of students who can play the saxophone and the clarinet but not the flute = n(C∩S) - n(F∩C∩S) = 6 - 2 = 4
The number of students who can play the saxophone and the clarinet but not the flute = 4 students
d. The number of students who can play only the saxophone = 0
The number of students who can play only the clarinet = n(C) - n(F∩C) - n(C∩S) - n(F∩C∩S) = 15 - 4 - 6 - 2 = 3
The number of students who can play only the clarinet = 3
The number of students who can play only the flute = n(F) - n(F∩C) - n(F∩S) - n(F∩C∩S) = 11 - 4 - 4 - 2 = 1
The number of students who can play only the flute = 1
Therefore, the number of students who can play only one of the clarinet, saxophone, or flute = 1 + 3 + 0 = 4
The number of students who can play only one of the clarinet, saxophone, or flute = 4.
Find the slope of each line.
Line A: (6,4) & (-3,-1)
Line B: (-6,0) & (3,5)
a) line a= 5/9 line b= 5/9
b) line a= 9/5 line b= 9/5
c) line a= -5/9 line b= -5/9
d) line a= -9/5 line b= -9/5
Answer:
a) line a= 5/9 line b= 5/9
Step-by-step explanation:
Use the slope formula:
m = y2 - y1
x2 - x1
Plug-in the known values for each line:
Line A: -1 - 4 = -5 = 5
-3 - 6 -9 9
Line B: 5 - 0 = 5
3 - (-6) = 9
A 24ft flagpole has a shadow of 9ft. A soldier standing next to the flagpole has a shadow of 2.25 feet. How tall is the soldier?
Answer:
6 feet
Step-by-step explanation:
Let's form a proportion;
24 x
____ = _____ ,
9 2.25
24(2.25) = 9x,
54 = 9x,
x = height of soldier = 6 feet
Answer:
6 feet
Step-by-step explanation:
[tex]\frac{height of object}{length of shadow}[/tex]
Let the hight of the soldier be x
[tex]\frac{24}{9}[/tex] = [tex]\frac{x}{2.25}[/tex]
x = (24×2.25)/9 = 6ft
The function g(x) is a transformation of the cube root parent function,
f(3) = Vz. What function is g(x)?
g(x)
O A. g(x) = 1 + 2
O B. g(x) = x + 2
O c. g(x) = 273
OD. g(Q) = v
PREVIOUS
Answer:
C
Step-by-step explanation:
Apex
The value of function of g (x) is,
⇒ g (x) = 2∛z
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The function g(x) is a transformation of the cube root parent function,
The function is,
⇒ f (x) = ∛z
Now, After translation we get;
The value of function of g (x) is,
⇒ g (x) = 2∛z
Thus, The value of function of g (x) is,
⇒ g (x) = 2∛z
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alex toby and samual are playing a game together
Answer:
sorry I don't mean to be rude but where is the question what you've written is a statement
What is the solution to the system of equations?
Answer:
(2, - 4 )
Step-by-step explanation:
Given the 2 equations
x + 2y = - 6 → (1)
3x + y = 2 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the term in y
- 6x - 2y = - 4 → (3)
Add (1) and (3) term by term to eliminate y
- 5x = - 10 ( divide both sides by - 5 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
2 + 2y = - 6 ( subtract 2 from both sides )
2y = - 8 ( divide both sides by 2 )
y = - 4
Solution is (2, - 4 )
John sold 32 poster prints of his artwork in September for a total of $126. In October, he sold 48 prints of his artwork for $240. If the relationship between the number of poster prints and total earnings is linear, what was the cost per print expressed as a slope(# of posters sold, $posters sold for)?(complete sentence answer
Given:
In September, John sold 32 prints of his artwork for $126.
In October, he sold 48 prints of his artwork for $240.
To find:
The cost per print expressed as a slope.
Solution:
Let y be the cost of x prints.
The relationship between the number of poster prints and total earnings is linear.
In September, John sold 32 prints of his artwork for $126. So, the line passes through (32,126).
In October, he sold 48 prints of his artwork for $240. So, the line passes through (48,240).
Now, the slope of the line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{240-126}{48-32}[/tex]
[tex]m=\dfrac{114}{16}[/tex]
[tex]m=7.125[/tex]
The slope of the linear function 7.125.
Therefore, the cost of per print is $7.125.
pls respond ,.... 25 points
The answer is B, hope this helped you!
- 2/3 × 3/5 + 5/2 - 3/5 × 1/6
Answer:
2
Step-by-step explanation:
(-2/3 x 3/5) + 5/2 - (3/5 x 1/6)
-2/3 x 3/5 = -6/15 = -2/5 (simplified)
3/5 x 1/6 = 3/30 = 1/10 (simplified)
Changed equation: -2/5 + 5/2 - 1/10
-2/5 x 2 = -4/10
5/2 x 5 = 25/10
Changed equation: -4/10 + 25/10 - 1/10
Answer: 20/10 = 2 (simplified answer)
3(x + 4) = 2x + 4x - 6 Please help i'll give 90 pts and I only have 113.
Answer:
x= 6
Step-by-step explanation:
3(x + 4) = 2x + 4x - 6
3x + 12 = 2x + 4x - 6
3x + 12 = 6x - 6
-3x = -18
x= 6
hope it helps
if it helps you, pls give me the brainliest.
Answer:
x = 6
Step-by-step explanation:
3(x + 4) = 2x + 4x - 6
~Distribute the left side
3x + 12 = 2x + 4x - 6
~Combine like terms on the right side
3x + 12 = 6x - 6
~Subtract 12 to both sides
3x = 6x - 18
~Subtract 6x to both sides
-3x = -18
~Divide -3 to both sides
x = 6
Best of Luck!
Given A(2,14), B(2,3), C(4,2) and D(14,2) what about AB?
a computer shop charges 20 pesos per hour (or a fraction of an hour) for the first two hours and additional 10 pesos per hour for each succeeding hour. find how much you would pay if you used one of their computers for 40 minutes. show solutions.
Answer:
The equation for the price, as a function of time in hours is:
P(x) = 20*x for 0 ≤ x ≤ 2
P(x) = 40 + 10*(x - 2) for 2 ≤ x
Now, we want to evaluate this function in 40 mins.
we know that 1 hour = 60mins.
Then 40 mins = (40/60) hours = 0.67 hours.
Then we input this in our function, and because this is smaller than 2, we use the first piece of our function:
P(0.67) = 20*0.67 = 13.4
So in 40 mins, the charge will be 13.4 pesos.
The 8th and 20th terms of an arithmetic sequence are 20 and 56 respectively. What is the 1st term of the sequence.
Answer:
a₁ = -1Step-by-step explanation:
[tex]a_n=a_1+d(n-1)\\\\a_8=a_1+d\cdot7\\\\a_{20}=a_1+d\cdot19\\\\a_{20}-a_8=a_1+19d-(a_1+7d)=12d\\\\56-20=2d\\\\12d=36\\\\d=3\\\\\\ a_1+3\cdot7=20\\\\a_1=20-21=-1[/tex]
If the 8th and 20th terms of an arithmetic sequence are 20 and 56 respectively, then the 1st term of the sequence is -1
The nth term of an arithmetic sequence is given by the formula:
[tex]a_n=a+(n-1)d[/tex]
The 8th term of the arithmetic sequence is 20
[tex]a_8 = 20\\\\a_8=a+(8-1)d\\\\a+7d=20.......................(1)[/tex]
The 20th term of the arithmetic sequence is 56
[tex]a_{20} = 56\\\\a_{20}=a+(20-1)56\\\\a+19d=56.......................(2)[/tex]
Subtract equation (1) from equation (2)
12d = 36
d = 36/12
d = 3
Substitute d = 3 into equation (1)
a + 7d = 20
a + 7(3) = 20
a + 21 = 20
a = 20 - 21
a = -1
The first term of the arithmetic sequence is -1
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Write an algebraic expression for the statement.
The cost of m pounds of meat when the cost per pound is $3.54.
Answer:
y=3.54m
Step-by-step explanation:
it is pretty self explanatory
An algebraic expression for the statement could be as; y = 3.54m
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol.
Thus which can also be used to indicate the logical syntax's order of operations and other features.
We need to write an algebraic expression for the statement.
Given that The cost of m pounds of meat when the cost per pound is $3.54.
Therefore, the expression could be as;
y = 3.54m
hence, An algebraic expression for the statement could be as; y = 3.54m
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*PLEASE HELP ANSWER*
* I WILL GIVE BRAINLIEST *
Answer:
Union
Step-by-step explanation:
None of the terms in each inequality intersect.
so its not intersection
Its two inequalities put together so its union
What is the equation of the line that passes through the point (5, - 2) and has a slope of - 2/5
Answer:
Y=-2/5x
Step-by-step explanation:
Y-int: (0,0)
x-int:(-2,5)
A coin weighs 5/6 ounces. Ann picked up 3 of these coins.
What is the total weight of the coins she picked up?
Write your answer in simplest form.
Answer:
2 1/2 ounces
Step-by-step explanation:
If each coin is 5/6 ounces and she picks up 3, we must multiply the two numbers
5/6 × 3
3 can also be written as 3/1
5/6 × 3/1
multiply the numerators and denominators separately
5 × 3/6 × 1
15/6
Both 15 and 6 have a common factor of 3 so divide both numbers by 3
15 ÷ 3/6 ÷ 3
5/2
This is simplest form in terms of improper fractions
If you want it as a whole number it would be:
2 1/2
This is because 2 goes into 5 twice evenly (whole number) with one remaining (numerator; denominator stays the same)
Hello
Answer:
2.5 ounce
Step-by-step explanation:
Weight of each coin=5/6 ounce
Weight of 3 such coins= 3*5/6
= 2.5 ounces
Hope its in the simplest form....
36÷2/3
pls help i no understand
A box contains 10 tags, numbered 1 through 10, with different numbers on each tag. A second box contains 8 tags, numbered 20 through 27 with a different number on each tag. One tag is drawn at random from each box. What is the expected value of the sum of the numbers on the two selected tags?
Answer:
29
Step-by-step explanation:
Given that:
Bag 1 : Bag contains 10 tags numbered 1 - 10 with different numbers on each
Bag 2: Another bag with 8 tags numbered from 20 - 27
Two Tags are drawn at random, one from each bag; Expected value of the sum of numbers on the two selected tags :
Expected value = mean of numbers in bag 1 + mean if numbers in bag 2
E(X) = (bag 1 minimum + maximum) / 2 + (bag 2 minimum + maximum) / 2
E(X) = [(1 + 10) / 2] + [(20 + 27) / 2]
E(x) = (11/ 2) + (47/2)
E(x) = 5.5 + 23.5
E(x) = 29
Hence, expected value of sum if numbers from each draw = 29
Suppose x, y, and z are all rational numbers. Is LaTeX: \frac{z}{\sqrt{x^2-y^2}}z x 2 − y 2 a rational number? Explain your answer.
Answer:
The square root of 2 is not rational, i.e. it is irrational. Explanation: We can think of a rational number as that which can be expressed as a fraction or ratio of two integers. Irrational numbers do not terminate or repeat, and cannot be represented by a finite … Suppose √2 is rational.
Step-by-step explanation:
A race dog is initially running at 10 m/s but is slowing down. How fast is the dog moving when its kinetic energy has been reduced by half?
5.37 m/s
7.07 m/s
5.00 m/s
6.10 m/s
Answer: 7.07 m/s
Step-by-step explanation:
I took the quiz and that was the correct answer 5 is wrong
The speed of the dog at half of its kinetic energy is 7.07 m/s. The correct option is (B).
What is Proportionality?When two quantities have some dependence in their values they can be said proportional to each other.
It can be of two types such as direct and indirect.
The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies value of one quantity is increasing while the other is decreasing.
Given that,
The present speed of the dog is 10 m/s.
Suppose the mass of the dog be m kg.
Since, the kinetic energy of an object is given as K = 1/2mv².
As per the question, the following expression can be written,
Initial energy, K₁ = 1/2m × 10²
= 50m
Final energy, K₂ = K₁/2
= 50m/2
= 25m
Using the expression for kinetic energy,
1/2mv² = 25m
=> v² = 50
=> v = √50
= 7.07
Hence, the speed of the dog when its kinetic energy is reduced to half is 7.07 m/s.
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there are 11 pieces of pie left over in the cafeteria. if the 6 pieces are apple and 5 are cherry , what fraction of the remaining are apple
Answer:
6/11
Step-by-step explanation: If not this try 12/22
This is because 11 is the denominator and both 5 and 6 are numerators. If you were to ask for what the fraction of remaining pie would be cherry, then you would say 5/11
I need help ASAP !!!!!
Answer:
a is 12, p is 9.
Step-by-step explanation:
No matter what letters or numbers you use you have to come out with the exact number that sums up with the queston provided which means you have to come out with the sum 21 either way, no matter what letters, numbers youu use.
Facts: