= Ratio of minutes to miles in which Samuel drove = 28 : 32
= Ratio of minutes to miles in which Beverly drove = 42 : 48
To find whether the time they drove and the distance they covered were proportional or not , let us first change them into a fraction and then simplify them .
= 28 : 32 = 28/32
= 28/32
Both the numerator and the denominator is divisible by 4 .
= 28 ÷ 4 / 32 ÷ 4
= 7/8 = 7 : 8
Samuel = 7 : 8
Beverly = 42 : 48 = 42/48
= 42/48
Both the numerator and the denominator is divisible by 6 .
= 42 ÷ 6 / 48 ÷ 6
= 7/8
Therefore, the ratio of miles to minutes drove by Samuel and Beverly is proportional , 7:8 :: 7:8
Answer:
7:8 7:8
Step-by-step explanation:
if you subtract 28 from 42 and subtract 32 from 48 then you get 14-16. then double it and you get 28-32 then add 14-16 to those again and you get 42-48. because they add up and are equal, take 14-16 and simplify it to 7:8.
Find the sum of following polynomials
a) 2p3 + q3 - 14pq - 2q and -p3 - 10q3 + 9p2q + 2pq - 12p + 12q - 18
b) 9x2y - 3xy2 - 8x + 14y - 16 and 12x3 + 4y3 - 12x2y - 4xy + 9
The answer fam is......... A) p^3−9q^3−12pq+9p^2q−12p+10q−18
B) 12x^3−3x^2y−3xy^2+4y^3−4xy−8x+14y−7
Answer:
[tex]\boxed{\bold{\sf{ a. ~p^{3} - 9q^{3} + 9p^{2}q - 12pq + 10q - 12p - 18 }}}[/tex]
[tex]\bold{\boxed{\sf{b.~12x^{3} + 4y^{3}-3x^{2} y - 3xy^{2} - 4xy - 8x + 14y - 7 }}}[/tex]
Step by step explanation
See attached picture.
For the addition and subtraction of algebraic expressions,like terms are added or subtracted as per the signs given and unlike terms are kept as they are. The sum or difference of like terms give another like term in which it's coefficient is sum or difference of their coefficient.Remember the following facts of addition and subtraction :
Like terms can be added or subtracted. Only coefficients of like terms can be added or subtracted. In horizontal method , expressions are arranged in same row and put sign for addition or sign for subtraction and remove the bracket and then simplify.
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Question 1 of 10 The slope of the line below is - Write a point-slope equation of the line using the coordinates of the labeled point.
What is the answer to
0.04 is 1/10 of _____
Answer:
.4
Step-by-step explanation:
Answer:
.0003, .04, .02, 2 4
Step-by-step explanation:
hope it helps
What is the value of x
Answer:
A, 38
Step-by-step explanation:
the 180 - 114 = 66, so the vertical angle is 66, x = 38, 38 x 2 = 76 + 38 + 66 = 180
Need Answer ASAP! 30 POINTS !
A recipe for a casserole calls for 1 cup of milk. If a chef currently has 0.5 gallons of milk, how many casseroles can the chef make?
Answer:
5
Step-by-step explanation:
A triangle has a base of 16 inches and a height of 1/8 inches. What is the area?
Area of triangle = 1/2 x base x height.
Area = 1/2 x 16 x 1/8
Area = 8 x 1/8
Area = 1 square inch
The area of the triangle calculated using the area formula is 1 in²
Given the Parameters :
Base of triangle = 16 inches Height of triangle = 1/8 inchesArea of a triangle can be obtained using the relation :
Area = 1/2 × base × heightSubstituting the Parameters into the equation :
Area of triangle = 1/2 × 16 × 1/8 = 1 in²
Therefore, the area of the triangle is 1 in²
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Company A makes business cards for $2.25 a
box and a setup fee of $4.50. Company B makes
business cards for $1.75 a box and a setup fee of
$6.00. How many boxes of business cards does each
ramiany make for the price to be equal
Answer:
225 and 175 are your x in this
Answer:
3 boxes
Step-by-step explanation:
Company A=2.25x+4.5
Company B=1.75x+6
2.25x+4.5=1.75x+6
.5x=1.5
x=3
Andrea jumped 5 times every 45 minutes. At that rate, how many
would she jump in 54 minutes?
bo optional
Answer:
6 times
Step-by-step explanation:
If Andrea jumps 5 times every 45 minutes, she will jump 1 time every 9 minutes. 54 divided by 9=6 times. Hope it helps!
Give an example of a fraction that results in a repeating decimal. Explain how to round the decimal number to the the nearest thousandth.
Mr. Smith has an account balance of -$275.78. He deposits $539.20 into his account. What is Mr. Smith's account balance now? *
Answer:
$ 263.42
Step-by-step explanation:
-275.78 + 539.20 = 263.42
The new balance in Mr. smith account will be $263.42.
What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.We have Mr. Smith has an account balance of -$275.78. He deposits $539.20 into his account.
Assume that the new amount in his account will be [x]. Then -
[x] = 539.20 - 275.78
[x] = 263.42
Therefore, the new balance in Mr. smith account will be $263.42.
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Sharon wants to make cookies for her class bake sale. She found a recipe that calls for 2/3 cups of flour for each batch of cookies. How many batches can she make using 12 cups of flour?
Answer:
18
Step-by-step explanation:
Multiply 12 and 2 by 3 to get the "easier to work with" fraction
[tex]\frac{12}{1}[/tex] = [tex]\frac{36}{3}[/tex]
Now, multiply two until you get 36
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36
It takes 18 times to get to 36.
That means the answer is 18.
Choose the correct sign that compares the decimal numbers. 0.737__0.708
Answer:
>
Step-by-step explanation:
0.737 is greater than 0.708
Answer:
>
Step-by-step explanation:
0.737 is greater than 0.708
> = greater than
1. Find the perimeter of the cross. All sides are the same length.
a. 40
b. 80
C. 90
d. 120
10
10
2. Find the area of the cross.
a. 500
b. 600
c. 120
d. 50
10
Answer:
1 is d the answer for 2 is a
If l is parallel to m, find the value of each missing variable.
Answer:
x = 26; l = 137; m = 137
Step-by-step explanation:
If the lines are parallel, that means the measurements are too. As such, equal the two expressions together
5x + 7 = 8x - 71
add 71 to both sides
5x + 7 + 71 = 8x - 71 + 71
-71 and +71 cancel each other out
5x + 78 = 8x
subtract 5x from both sides
5x - 5x + 78 = 8x - 5x
5x - 5x cancels each other out
78 = 3x
divide both sides by 3
3x ÷ 3 = 1x which can also be written as just x
78 ÷ 3 = x
26 = x
plug in this x value into both expressions to find variables l and m
l:
5(26) + 7
130 + 7
137
m:
8(26) - 71
208 - 71
137
The Martinez family is traveling to a play in Richmond. A round trip train ticket costs $8.00. Children under the age of 7 travel for half price. ($4.00) Tickets for the play are $14.00 for an adult and $6.00 for a child. Mr. And Mrs. Martinez will go with their children, Ricky, Ramona, and Thomas. Ricky and Ramona are 12 years old. Thomas is 6 years old. How much did the Martinez family spend for the train ride and play tickets?
Answer: The Martinex family spent $ 82 for train ride and play tickets.
Step-by-step explanation:
Round trip train cost = $ 8.00
For children it cost $ 4.00.
For adult, ticket for play costs= $ 14.00
For children , ticket for play costs= $ 6.00
Mr. And Mrs. Martinez will go with their children, Ricky, Ramona, and Thomas.
2 adults and 3 children ( only one of them is under 7.)
For train we consider only 1 as child rest as adult.
Train cost = 4 x($ 8.00)+ 1 x ($ 4.00)
= $ 32+4 = $36
For play , total cost = 2 x ( $ 14.00) + 3 x ($6)
= $(28+18)
= $ 46
Total spending ( combined) = $36+$ 46
= $82
So, the Martinex family spent $ 82 for train ride and play tickets.
The center of a circle lies on the line y=6x+2 and is tangent to the X axis at (-2,0) what is the equation of the circle in standard form?
Answer:
(x+2)^2 + (y+10)^2 = 100
Step-by-step explanation:
y = 6x + 2
Z(-2,0)
x = -2
y = 6 x (-2) + 2
y = -12 + 2
y = -10
M(-2, -10)
r = 0 - (-10) = 10
(x + 2)^2 + (y + 10)^2 = 100
Answer:
(x + 2)^2 + (y + 10)^2 = 100
Step-by-step explanation:
+2.....+10..100
exactly that
Given line m is parallel to line n. What theorem or postulate justifies the statement? ∠1 ≅ ∠4
Answer:
corresponding angles postulate
Step-by-step explanation:
just took the test ;)
What does E=MC2 mean? Thanks.
Answer: Energy equals mass times the speed of light squared.
Plz mark branliest:)
what table shows the relationship between the gallons of cleaning solution made of cups bleach used
Answer:
not applicable
Step-by-step explanation:
You need to add file
4. If S is in the interior of ZPQR , then mZPQS + m_SQR = m_PQR.
a. Protractor Postulate
b. collinear
c. angle bisector
d. angle
e. Angle Addition Postulate
Theo buys 116 shares of Raxin Accounting at $15.66 per share and 165 shares of Sanden Research Labs at $8.57 per share. If
Theo's broker charges a commission of $11.50 per ten shares bought or sold, how much does Theo pay in commission?
$1,816.56
b. $323.15
C. $3,553.76
d. $1,414.05
Answer:
the answer is letter B. $323.15
Step-by-step explanation:
Answer:
B: 323.15
Step-by-step explanation:
[tex](\frac{116+165}{10} )*11.50[/tex]
PLEASE HELP!!
complete the square to find the minimum value of the equation x^2+16x-36=0.
x=
A breakfast cereal comes in two different sized packages. The 8-ounce box costs $2.88 while the 12-ounce box costs $3.60. Which is the better buy? How much does the better buy cost per ounce?
Answer: the 12 once box
Step-by-step explanation:
8- once box =.36 and the 12 once box is =.3
Answer:
(12-ounce box) $0.30
Step-by-step explanation:
2.88 divided by 8 = $0.36 per ounce
3.60 divided by 12 = $0.30 per ounce
Nicolas is setting up water stations for a 10-mile run. He already has the first one set up 8 miles from the starting line. He needs to set up two more that are 1.5 miles on either side of the first water station. Where will he put the two additional water stations?
A number line divided into increments of 1 and labeled 0 through 10. The number 8 is labeled with Nicolas.
The absolute value equation that models this situation is |x –
|=
.
The two additional water stations will be
and
miles from the starting line.
Answer:
Step-by-step explanation:
The two additional water stations will be 6.5 miles and 9.5 miles away from the starting line.
Given Nicolas is setting up 3 water stations for a 10-mile run.
He already has the first one set up 8 miles from the starting line. He wants to set up two more that are 1.5 miles on both side of the first water station.
We have to calculate the distance of 2 other water station from starting point.
Now A number line divided into increments of 1 and labeled 0 through 10. The number 8 is labeled with Nicolas.
The absolute value equation that models this situation is |x –8 |=1.5
The two additional water stations will be (8-1.5) miles or 6.5 miles and other will be (8+1.5) or 9.5 miles away from the starting line.
The two additional water stations will be 6.5 miles and 9.5 miles away from the starting line.
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Use the Distributive Property to evaluate: 3(21 + 6)
Answer:
81
Step-by-step explanation:
3(21 + 6)
(3 x 21) + (3 x 6)
63 + 18
81
Answer:
3*21+3*6 = 81
Step-by-step explanation:
3(21+6) is basically 3 times 21 plus 3 times 6. You are distributing the 3 to the 21, and then also to the 6. Once you distribute the 3, you get 3*21+3*6. First, multiply 3 by 21 to get 63. Then, multiply 3 by 6 to get 18. Follow the equation and add them together to get your answer of 81.
You could also do it a different way and instead of doing 3*21+3*6, you could do the original equation, and do 3(21+6). 21+6=27 You then have 3(27). 3 times 27 is 81. You get the same answer, you could just do it a different way.
Sarah works in a clothing store for $12.00 per hour. If her pay is increased to $14.00, then what is her percent increase in pay?
Answer:
16% not completely sure but pretty confident
Step-by-step explanation:
I need to show work please i need help
Answer:
I am going to give this to someone and see if they can help!
Step-by-step explanation:
Which expression is undefined?
A)sin-1(1)
B)sin-1 (-2)
C)cos-1(0)
D)cos -1(-1)
Answer:
B
Step-by-step explanation:
Here, we want to find which of the expressions is undefined
kindly note that
sin^-1 is arcsin
cos^-1 is arccos
A. arcsin (1) = 90 degrees
B. arcsin (-2) = undefined
c. arccos 0 = 90 degrees
d. arccos (-1) = 180
Answer:
B.) sin-1 (-2)
Step-by-step explanation:
Got it right on Edge
4. If a box of sweets is divided among 24 children, they will get 5 sweets each. How many would each get, if the number of the children is reduced by 4?
Pls answer :(
I’ll appreciate!
Answer:
The answer would be 2.1 so it must be D
Step-by-step explanation: divide them