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Sara pays $4.50 for 3 pounds of bananas and 2 pounds of oranges. One pound of oranges costs $0.75 more than one pound of bananas. Let b represent the price per pound of bananas. What equation represents the situation, and what is the price per pound of each fruit?
The price of one pound of banana = b
As one pound of oranges costs $0.75 more than one pound of bananas, so, the price of one pound of orange = b+0.75.
The price of 3 pounds of banana = 3b,
and the price of 2 pounds of oranges = 2(b+0.75).
Now, as she pays $4.50 for 3 pounds of bananas and 2 pounds of oranges.
So, for this situation the required equation is
3b + 2(b+0.75) =4.5
On solving this equation, we have
[tex]\Rightarrow 3b+2b+2\times0.75=4.5[/tex]
[tex]\Rightarrow 5b +1.5=4.5[/tex]
[tex]\Rightarrow 5b =4.5-1.5=3[/tex]
[tex]\Rightarrow b =\frac 3 5=0.6[/tex]
Hence, the price of one pound of banana = $ 0.60
and the price of one pound of orange
=b+0.75= 0.60+0.75=$1.35.
Lines x and y intersect to make two pairs of vertical angles, q, s and r, t. Fill in the blank space in the given proof to prove ∠q ≅ ∠s. A) Transitive property B) Addition property of equality C) Subtraction property of equality D) Substitution property
Answer:
C) Subtraction property of equality.
Step-by-step explanation:
Given that, two lines [tex]x[/tex] and [tex]y[/tex] intersect to make pairs of vertical angles:
[tex]\angle q, \angle s[/tex] and [tex]\angle r, \angle t[/tex].
Kindly refer to the attached image for details of the given angles and lines.
Proof that [tex]\angle q\cong \angle s[/tex] :
[tex]\begin{center}\begin{tabular}{ c c}Statements & Reasons \\ m\angle q+m\angle r=180^\circ & \angle q\ and\ \angle r\ are\ supplementary \\ m\angle r+m\angle s=180^\circ & \angle r\ and\ \angle s\ are\ supplementary \\ \angle q+\angle r=\angle q+\angle r & Algebraic substitution \\ m\angle q = m\angle s & Subtraction property of equality\end{tabular}\end{center}[/tex]
Here, subtraction property of equality is used in the last step shown in the above.
As per the Subtraction property of equality, when some value is subtracted from both the sides of the equality, equality remains the same.
Answer:
C
Step-by-step explanation:
Because I am a genius
What is the slope? Pls answer quickk
Answer:
4/5
Step-by-step explanation:
rise/run is the slope
The equation a = StartFraction one-half EndFraction left-parenthesis b 1 plus b 1 right-parenthesis.(b1 + b2)h can be used to determine the area, a, of a trapezoid with height, h, and base lengths, b1 and b2. Which are equivalent equations? Check all that apply.
Answer:
It's a &d
Step-by-step explanation:
The required Area of trapezoid(a) = 1/2(b1+b2)h.
What is quadrilateral?
Quadrilateral is four sided shape as given in the picture in question.
Question seems to be incomplete. So the correct option resembles with
Area of trapezoid a = 1/2(b1+b2)h
Thus, the required area of trapezoid
a = 1/2(b1+b2)h
Learn more about quadrilateral here:
https://brainly.com/question/13805601
#SPJ2
?×3/4=-6
what does ? equal
please answer asap
Answer:
-8
Step-by-step explanation:
Answer and I will give you brainliest.
A cat can travel a distance of 32.5 meters in 13 seconds. What is the average speed of the cat to the nearest hundredth of a m/s? *
A 2.5 mph
B 0.4 mph
C 2.5 m/s
D 0.4 m/s
Answer:
D: 0.4 m/s
Step-by-step explanation:
32.5 in 13 sec
32.5/32.5=1
so
13/32.5 would be the answer
1 meter in 0.4
Answer:
C
Divide 32.5 with 13, because m/s means meters divide by seconds
im not sure tho
Janessa,has 18$. She buys a ticket to a movie and a smoothie. How much money dose she have left? Ticket: $8.75
Celery Sticks: $3.75
Smoothie: $2.85
What do you need to find before you can solve the problem?
A. The total amount of money Janessa has in her bank account.
B. The cost of a smoothie
C.The total amount of money Janessa had spent
D. The total amount of money Janessa has left.
Answer:
B. The cost of a smoothie
Step-by-step explanation:
The answer to the problem: 8.75 + 2.85 = $11.60
But to solve the problem you have to know the price of a smoothie.
help me out bro
7 (x-3)+3 (4-x)= -8
Answer:
x = 1/4
Step-by-step explanation:
remove the parenthesis
collec like terms
caculate
move constant to the right
calculate
divide both sides
Express the following number as a decimal:
2 x 10^-6
Answer:
0.000002
Step-by-step explanation:
2* 10^-6
is the same as
2 * 0.000001
which is
0.000002
Answer:
The answer is: 0.000002
Step-by-step explanation:
Have a great day!
how many solutions does this have? PLS HELP ILL MARK YOU BRAINEST
Answer:
8(4+4) =7 38+38
=86
Best representation of 5 7/3
Answer:what it is
Step-by-step explanation:
what is $3 as a decimal
Answer:
3.00
Step-by-step explanation:
Answer:
3.00
Step-by-step explanation:
Since three is a whole number, that means it would be in front of the decimal.
What does "opposite semi-planes of segment" mean?
Answer:
opposite half-planes – the two half-planes that are separated by a particular line of the plane. If points Y and Z are in opposite half-planes, the segment joining them must intersect the edge.
Step-by-step explanation:
Kainoa collects trading cards. He has 1,032 baseball cards, 709 basketball cards, and 833 football cards. He wants to put all of them in albums. Each page in the albums holds 18 cards. How many pages will he need to hold all of his cards? He will need pages
Answer:
143 pages
Step-by-step explanation:
Kainoa has:
1,032 baseball cards, 709 basketball cards, and 833 football cards.
Totally number of cards =
(1032 + 709 + 833)cards = 2574 cards
We are told that:
Each page in the albums holds 18 cards
The pages he will need to hold all of his cards is calculated as:
2574 cards ÷ 18 cards = 143 pages.
An art gallery owner purchases art at flea markets and sells the art for a 14% profit in the gallery. If the owner purchases a piece of art for $885 at a flea market, what will be its selling price in the gallery?
Answer:
$1008.9
Step-by-step explanation:
Given
Cost of piece of art = $885
Percent profit made = 14%
Profit amount = 14% of $885
Profit amount = 14/100×885
Profit amount = 12390/100
Profit amounts to $123.90
Selling price = cost price + profit amount
Selling price = $885+$123.90
Selling price = $1008.9
Hence the selling price for the art at the gallery is $1008.9
Answer:
$1008.9
Step-by-step explanation:
−15 ÷ 5 =
A number line going from negative 30 to positive 30. An arrow goes from 5 to 10, from 10 to 15, from 15 to 20.
Emily used the number line to find the quotient for -15 ÷ 5. What errors did she make? Select three correct answers.
The arrows should point in the negative direction.
The small arrows should end in the same place as the large one.
The arrows should end on negative 15.
The arrows should start at zero.
There should be 5 small arrows.
Answer:
-3 is the answer because if we divide 15 by 5 we get 3 . So it is same only the question is -15 divide by 5 so the answer is -3
Answer:
The answer is A,C,D
Step-by-step explanation:
Just had the question :D
What is the reflection?
Answer:
u' = (-1, -4) , v' = (2, -4), w' = (2, -7)
Step-by-step explanation:
What is the sum of the measures of angles 2 and 3? Explain your answer.
Answer:
Sum of angles 2 and 3 will be equal to sum of angles 1 and 4.
As per the opposite angle theoreom: "When two lines cross, four angles are created and the opposite angles are equal" Here:
Angle 1 is opposite of angle 3Angle 2 is opposite of angle 4Angle 2+3 is opposite of angle 1+4Find pairs of points with a slope of ²/₅
Answer:
Look below
Step-by-step explanation:
To find a slope with 2/5, you can use y2 - y1/x2 - x1. The 1 and 2's can be different but you cannot mistake the x and y.
1st example:
(1, 5), (6, 7)
Reason: (7-5)/(6-1) = 2/5
2nd example:
(2, 8), (7, 10)
Reason: (10 - 8)/(7 -2) = 2/5
3rd example:
(5, 2), (10, 4)
Reason: (4-2)/(10 -5) = 2/5
Hope this helped!!!!!
If the leading coefficient is negative, always factor out the negative.
-x^2+5x-6
Answer:
-1(x-2)(x-3)
Step-by-step explanation:
first we factor the negative:
-1 (x^2 - 5x +6 )
the next step, (if possible) is to guess 2 numbers that multiplied are 6
and added are -5
in this case is easy to see that those numbers are -2 and -3
The solution then is:
-1(x-2)(x-3)
If guessing the 2 numbers doesn't work, you need to complete the square
Oprs]
Three hundred and forty students enroll for soccer and tennis classes in the
ratio of 6:11. Find the number of students who have signed up for each sport.
Answer:
Soccer = 120
Tennis = 220
Step-by-step explanation:
The total number of students enrolling for soccer and tennis classes is, 340.
The ratio number of students enrolling for soccer and tennis classes is, 6:11.
Then,
6x + 11x = 340
17x = 340
x = 20
The number of students enrolled for soccer class is, 6x = 6 × 20 = 120.
The number of students enrolled for tennis class is, 11x = 11 × 20 = 120.
Select ALL graphs that do NOT represent a function.
Answer:
3 and 5
Step-by-step explanation:
If you do the vertical line test those ones do not pass. The vertical line test is the test you do to see if it is a function. You draw a vertical line and if that line crosses the graphed line only once it is a function.
CARL HAS $30 TO SPEND AT
THE ARCADE. HE SPENT $12 ON
FOOD AND EACH GAME COSTS
$1.75. WRITE AN INEQUALITY
TO FIND THE MOST NUMBER OF
GAMES CARL CAN PLAY.
Answer:
12+1.75=13.75 30-13.75 =17.75
Step-by-step explanation:
What describes the reflection of the figure?
A) reflection over the x-axis
B) reflection over the y- axis
C) reflection over the line x=2
D) reflection over the line x=-2
(-2 1/3 + 5 1/5) + 1 1/3 =
4Answer:
exact form:
[tex]\frac{21}{5\\}[/tex]
decimal form:
4.2
mixed number form:
4[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
I need help, marking as Brainliest.
Answer:
1)There has just been a dilation and translation of the first triangle to get to the second. Their hypotenuses have the same slope of +1.
2)There has just been a dilation since they are on about the same points of the line with a slope of 1 1/2.
3)They are related because they are both on the line with a slope of -3/2
4)Only a translation happened since they are the same size and are on the same line that has a slope of 2/3
Step-by-step explanation:
I need help please.
Answer:
10. y=the total amount of money
A) y=4m
B) y= 4(5.25)
y= $21
11. y= total amount of money
A) y= 40m + 35
B) y= 40(10) + 35
y= $435
Number 10:
You know five people, you and four friends, are contributing the same amount of money for food. Lets say F = Food and M=Money. Since they are contributing the same amount of money, it would be 5 * m, or 5m. So, F would equal 5m. F=5m.
Part B- You would do the same expression, F=5m, but you would instead plug 5.25 in for m. So, 5.25 times 5 would equal 26.25 dollars.
Number 11:
Part A- Let M equal months. $40 times the number of months + 35 is the total cost, so 40m +35 is the expression.
Part B- Since the total cost is 40 dollars times the number of months + $35, you would multiply 40 * 10, to get 400 dollars over 10 months. Then you would add the $35 fee, so the answer would be $435.
20 POINTS AND BRAINLIEST
This table shows the cost (y) for mailing a package. The customer is charged an
initial fee for mailing the package. An extra charge is added based on the weight of
the package (x).
Package Weight
1.3 lb
1.5 lb
2.0 lb
3.0 lb
5.0 lb
Cost
$3.70
$4.00
$4.75
$6.25
$9.25
What does the value of the y-intercept represent when the data in the table are
modeled using a linear function?
the package weight
the total mailing cost
the cost per pound
the initial fee
The initial fee.
Hope this helps ;)
Answer:
initial feee
Step-by-step explanation:
0.375, 75% , 5/8, 1/2
From least to greatest pls