Diego pays $4.50 for 3 pounds of bananas and 2 pounds of oranges. one pound of oranges cost $0.75 more than one pound of bananas let b represent the price per pound of bananas. Which equation represents the situation, and what is the price per pound of each fruit? 3b + 2b = 4.50; $0.90 per bananas, $0.90 per pound of oranges 3b + 2(0.75) = 4.50; $1.00 per bananas, $1.75 per pound of oranges 3b + 2(b + 0.75) = 4.50; $0.60 per bananas, $1.35 per pound of oranges 3b + 2b = 4.50; $1.35 per bananas, $0.60 per pound of oranges
Given:
Diego pays $4.50 for 3 pounds of bananas and 2 pounds of oranges.
One pound of oranges cost $0.75 more than one pound of bananas.
To find:
The equation which represents the situation, and what is the price per pound of each fruit.
Solution:
Let b represent the price per pound of bananas.
Cost of 3 pound of banana = $3b
One pound of oranges cost $0.75 more than one pound of bananas.
So, cost of one pound of oranges = $(b+0.75)
Cost of 2 pound of oranges = $2(b+0.75)
Diego pays $4.50 for 3 pounds of bananas and 2 pounds of oranges.
[tex]3b+2(b+0.75)=4.50[/tex]
Therefore, the required equation is [tex]3b+2(b+0.75)=4.50[/tex].
On solving the above equation, we get
[tex]3b+2b+1.50=4.50[/tex]
[tex]5b=4.50-1.50[/tex]
[tex]5b=3[/tex]
Divide both sides by 5.
[tex]b=\dfrac{3}{5}[/tex]
[tex]b=0.60[/tex]
Now,
[tex]b+0.75=0.60+0.75=1.35[/tex]
Therefore, the price of fruits are $0.60 per bananas, $1.35 per pound of oranges.
Hence, the correct option is C.
find the distance traveled in 15 seconds by an object moving with a velocity of v(t)= 20 + 3t feet per second where t is the time in seconds.
Answer:
4 because you divide 3 and 15 by three which gives you 5 then divide 20 by that gives you 4
the difference of three times a number x and 4
Answer:
3x - 4
Step-by-step explanation:
Difference means subtraction.
Times means multiplication.
Three times a number x; 3 * x = 3x
3x - 4
Best of Luck!
It's not mentioned exactly what we have to do but can be predicted that we have to frame equation on the basis of the given data.
Given, the number to be considered is x
Three times x = 3x4 is subtracted = -4The required equation will be:
➝ 3x - 4
And this is only our final answer. And we are done !
Carry On Learning [tex]![/tex]
−60 = −0.8k
What does K answer?
PLA ANSWER
Answer:
75 = k
Step-by-step explanation:
−60 = −0.8k
Divide each side by -.8
−60/-.8 = −0.8k/-.8
75 = k
Find the distance between the two points in simplest radical form.
(-5,8) and (-3,1)
Answer:
√ 53
Step-by-step explanation:
Answer:
Step-by-step explanation:
What is the value of the product (3 – 2i)(3 + 2i)?
5
9 + 4i
09 - 4i
0 13
Answer:
13
Step-by-step explanation:
(3-2i)(3+2i)
3×3+3(2i)-2i×3-2i(2i)
13
Hope this helps! :)
Answer: 13
Step-by-step explanation:
got it right
Look at this graph:
y
100
90
80
70
60
50
40
30
20
10
X
0
10
20 30 40 50 60 70 80 90 100
What is the slope?
Find the x- and y-intercepts of the graph of each ... CCSS REASONING The equation 5x + 10y = 60 ... 20. SOLUTION: The x-intercept is the point at which the y-coordinate is 0, or the line ... charges $50 for admission before 6 p.m. and $20 for ... (90, 70). 100 f (100) = 160 – (100). 60. (100, 60). 130 f (130) = 160 – (130). 30.
Ted determined that the length of the diagonal of his square-shaped lawn was start root 83 end root feet. Which is closest to the length in feet of the diagonal of Ted's lawn?
A8
B.9
C.41
D.166
Answer:
166
Step-by-step explanation:
Just Add 83+83=166
Combine Like Terms
9x + 5 – 6 – 8x + 2
-6s + 7 + 10x – 5
Distribute
-5(2x + 7)
4(-3x + 6)
Equations: Solve for the variable (show all work – circle answer)
2y = -8
x7
= 6
2x – 6 = 10
Answer:
9x+5-6-8x+2
=(9x-8x)+(5-6+2)
=(x)+(+1)
=x+1
2) A square and a rectangle have the same perimeter. The square has a side length of 6 x units. The
rectangle has a length of (5x + 8) and a width of 6 units. For what value of x, will the square and
rectangle have the same perimeter?
30x usb
a. 2
30 x 54 = 30x 54
b. 4
C. 5
d. 3
Answer:
The value of X should be 8
Sorry, but I also need help on this
PLEASE HELP! I WILL MAKE YOU BRAINLIST!
Answer: A.
Step-by-step explanation: yes
What is 2.8 divides by 0.4? Please Show your work.
Plz, help me!!!
Write each interval as an inequality. Then graph the solutions. (–∞,5)
The interval notation given to us means that x is between negative infinity and 5, excluding both endpoints.
So we can write [tex]-\infty < x < 5[/tex] which shortens to [tex]x < 5[/tex]
The graph will have an open hole at 5 on the number line, and shading to the left to indicate all points smaller than 5.
Sammy bought 15.3 Liters of milk. She poured the milk equally into 5 bottles. There was 0.35 liters of milk left over. Calculate the capacity of milk in 1 bottle.
please show work.
Answer:
The capacity of milk in 1 bottle is 2.99 liters
Step-by-step explanation:
Let us solve the question
∵ Sammy bought 15.3 liters of milk
∵ She poured the milk equally into 5 bottles
∵ There were 0.35 liters of milk leftover
→ At first, subtract the leftover from the quantity she bought to
find the capacity of the five bottles
∴ The capacity of the 5 bottles = 15.3 - 0.35
∴ The capacity of the 5 bottles = 14.95 liters
→ To find the capacity of each bottle divide the total capacity by 5
∴ The capacity in one bottle = 14.95 ÷ 5
∴ The capacity in one bottle = 2.99 liters
∴ The capacity of milk in 1 bottle is 2.99 liters
The y-intercept is...
Hey love, if the question itself is what the y-intercept stands for then it's the point when the line passes the y axis. if that wasn't your question give me some more context and i'll try my best to help!
GIVING BRAINLIEST!!!!!!
SOLVE FAST
Answer:
Step-by-step explanation:
a(x) = 3x + 2
-3,0,5,6
a(-3) = 3*(-3) + 2
a(-3) = - 9 +2
a(-3) = - 7
===============
a(0) = 3*0 + 2
a(0) = 2
================
a(5) = 3*5 + 2
a(5) = 15 + 2
a(5) = 17
================
a(6) = 3*6 + 2
a(6) = 18 + 2
a(6) = 20
How do I solve this!
Answer:
45
Step-by-step explanation:
7 x 9 = 63
So, you would multiply 5 by 9 too:
5 x 9 = 45
Hope this helps!
Which of the following decimals would round to 6.6? *
6.723
6.526
6.57
6.49
Answer:
6.57
Step-by-step explanation:
if if you round 6.57 up in the tens place you will get 6.6
1. What's the name of the line segment in the diagram below?
U
O A. UT
O B. TU
O c.T
TŮ
O D. fŮ
Answer:
C
Step-by-step explanation:
The measure of the supplement of an angle is three times the measure of the
angle.
Find the measures of the angle and its supplement.
Let the angle to be solved be x
Let the supplement/compliment by y
x+y=90 Complimentary angles add up to 90 degrees.
x+3y=180 Supplementary angles add up to 180 degrees, the other angle is thrice the other compliment.
Evaluating this as a system:
x+y=90 Isolate x:
x=90−y Input into the other equation:
(90−y)+3y=180 Combine like terms, isolate y and its coefficients:
2y=90 Isolate y
y=45 Input into the first equation:
x+45=90 Isolate x:
x=45degrees
Find the equation of a line that passes through the points (2, 16) and (-1, 7)
Answer:
y=3x+10
Step-by-step explanation:
7-16=-9
-1-2=-3
-9/-3=3
m=3
Find the result when 85 is increased by 20%.
Answer:
102
Step-by-step explanation:
20% of 85 is 17.
85+17 = 102
hope this helps! :)
Answer:
102
Step-by-step explanation:
To find the new amount, multiply 85 by 1.2
85(1.2)
= 102
So, when 85 is increased by 20%, the result is 102.
6+3{[4-2(4-7)]}=
I need answer this whit steps.
pls.
Step-by-step explanation:
6+3((4-2(4-7))
1. 6+3((2(4-7))
2. 6+3((2(*-3)
3. 6+3(-6)
4. 6+(3*-6)
5. 6+-18
6. -12
The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas. Write the ratios as fractions in simplest form.
Answer:
is there an example? or picture?
-23 = 13w + 2w + 22
w =
Answer:
w=-3
Step-by-step explanation:
If M is the midpoint of segment AB, and AM = x+3 and AB = 3x-4, determine the length of segment AB.
Answer:
AB=2AM
3x-4=2(x+3)
3x-4=2x+6
3x-2x=4+6
x=10
So length AB 3x-4=3(10)-4
30-4=26
The length of AB is 26 units.
What is a line segment ?A line segment is denoted by two endpoints.
According to the given question M is the midpoint of segment AB.
Given, AM = x + 3 and AB = 3x - 4.
As AM is the midpoint if we take twice of AM that will be equal to AB.
∴ 2(AM) = AB
2(x+3) = 3x - 4.
2x + 6 = 3x - 4.
2x - 3x = -4 - 6.
-x = - 10.
x = 10.
So the length of the line segment AB will be (3x - 4) = 3(10) - 4 units.
= 30 - 4
= 26 units.
learn more about line segment here ;
https://brainly.com/question/25727583
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A drone costs $200, and you receive a 15% discount due a coupon. What is
the total amount to be paid?
Answer:
the total would be 170 dollars
Step-by-step explanation:
200x0.15
Answer:
$170
Step-by-step explanation:
15% of 200 is 30, so subtracting 30 from 200 gets you 170.
If you're having trouble with finding 15% of 200, just flip it around, and find 200% of 15. 15% of 200 and 200% of 15 are both 30. This works no matter what numbers you have. For example, 8% of 100 and 100% of 8 are equivalent, 70% of 200 and 200 and 200% of 70 are equivalent as well.
what is the distance of LM
Answer
(-4,3)
Step-by-step explanation:
PLEASE HELP,I AM BEING TIMED!!
Measure the angle of 6
Options: 100
120
30
60
30 degrees
Measure of the angle of 6 is 30 degrees
Answer:
30 degrees
Step-by-step explanation:
because 60 degrees is already there and 120 is angled the opposite way, and 100 degrees is a little farther than 90.