Olivia is preparing many gifts for a family holiday party. Each gift must either be wrapped with wrapping paper or prepared in a gift bag. Olivia can wrap a single gift in 3 minutes and she can do a giftbag in 1.5 minutes. Olivia prepared a total 14 gifts in 30 minutes. Graphically solve a system of equations in order to determine the number of gifts Olivia wrapped, x,x, and the number of giftbags she prepared, yy.
Answers
Answer:
Olivia wrapped 6 gifts and prepared 8 giftbags.
Step-by-step explanation:
Write System of Equations:
3x+1.5y= 30 x+y=14
x+y= 14 y=-x+14
3x+1.5y=30
1.5y=3x+30
1.5y divided by 1.5 is y
-3x+30 divided by y is -2x+20
y=-2x+20
Olivia wrapped 6 gifts and made 8 Giftbags.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Olivia can wrap a single gift in 3 minutes and she can do a giftbag in 1.5 minutes
Olivia prepared a total 14 gifts in 30 minutes.
let number of gifts Olivia wrapped be x.
and, number of giftbags she prepared be y.
So, the equations are:
3x+1.5y= 30 .....(1)
x+y=14
Now, plotting these equations on graph we get intersecting point of two lines which shows x= 6 and y=8.
Hence, Olivia wrapped 6 gifts and made 8 Giftbags.
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Related Questions
What does NBT stand for
Answers
Answer:
It stands for "Nothing But Trouble"
Step-by-step explanation:
Given that 1 inch =2.54 how many centimeters are in 8 feet
Answers
Answer:
243.84 cm
Step-by-step explanation:
8 feet = 96 inches
96 inches x 2.54 in/cm = 243.84 cm
ILL BRAINLIEST YOU IF YOU GET IT RIGHT
Can you help me match each figure with the appropriate angle pair relationship
Answers
Answer:
co interior angle plz take my and
Answer:
1) Alternate exterior
2) alternate interior
3) consecutive interior angles
Alright so here’s a trick
Alternate already means different sides so look for that.
Interior angles are all the angles inside the two parllel lines.
Exterior angles are all angles out side the two parralel lines.
No matter what if its alternative interior or exterior, it should make a perfect
“/“ or back slash.
Consecutive is on the same side.
Corresponing is also on the same side but it has 1 exterior and 1 interior
What is a Proportional Relationship?
1. One apple costs 25¢. Determine each cost.
a) 2 apples
b) 3 apples
c) 4 apples
d) 6 apples
e) 9 apples
f) 12 apples
Answers
What is the unit rate for the proportional relationship represented by the equation y=4/5x
Answer choices:
A:4/5
B:-2
C:4
D:5
Answers
Answer:
A: 4/5
Step-by-step explanation:
The equation for proportionality is y = kx, where k is the constant of proportionality. That is what you're looking for in this question.
So in y = 4/5x, 4/5 is the constant of proportionality/unit rate for the proportional relationship.
The 4/5 is the constant of proportionality/unit rate for the proportional relationship.
We have given that,
the unit rate for the proportional relationship is represented by the equation y=4/5x.
We have to determine the unit rate
What is the equation of proportionality?The equation for proportionality is y = kx, where k is the constant of proportionality.
So in y = 4/5x,
The 4/5 is the constant of proportionality/unit rate for the proportional relationship.
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True or false? Please help meee
Answers
plz help me 2 plz 2 plz 2
Answers
Step-by-step explanation:
P(-4,7)
Q(-1,-1)
R(-8,-1)
solve these asap please
Answers
Answer:
3) x = −11
4) x = 40/11 or 3.636363... (it keeps going)
5)
Step-by-step explanation:
3) 5x/6 − ( 2x − 1/2 ) + 4 − 2x/3 = 11
Step 1: Simplify both sides of the equation.
5x/6 − ( 2x−1/2 ) + 4 − 2x/3 = 11
5x/6 + − x + 1/2 + − 2/3x + 4/3 = 11 ( Distribute )
5/6x + − x + 1/2 + − 2/3x + 4/3 = 11
( 5/6x + − x + − 2/3x ) + ( 1/2 + 4/3 ) = 11 ( Combine Like Terms )
−5/6x + 11/6 = 11
Step 2: Subtract 11/6 from both sides.
−5/6x + 11/6 − 11/6 = 11 − 11/6
−5/6x = 55/6
Step 3: Multiply both sides by 6/(-5).
( 6/−5 ) * ( −5/6x ) = ( 6/−5 ) * ( 55/6 )
x = −11
4) 10 - 2x = 3/4x
x = 40/11
(going to also be long I so wont put my work here)
5) -3( x - 3 ) - 9x - 9 = 4( x + 2 ) - 12
x = 1/4
(again, is long so wont put work)
What is (5, 10) reflected over the x-axis
Answers
Answer:
(5,-10)
Step-by-step explanation:
(5,-10) is reflected over the x-axis from (5,10)
A cell phone tower is anchored by two cables on each side for support. The cables stretch from the top of the tower to the ground, with each being equidistant from the base of the tower. The angle of depression from the top of the tower to the point in which the cable reaches the ground is 23 degrees. If the tower is 140 feet tall, find the ground distance between the cables. Round to the nearest tenth.
Answers
Answer:
659.6 ft
Step-by-step explanation:
x = 140 / tan 23
x = 329.82(rounded to hundredth)
so total ground distance between the cables = 2x = 2(329.82) = 659.64 feet
When given the picture using what you know find the answer. What is m
Answers
Answer:
40 degrees
Step-by-step explanation:
Answer:
Angle E = 25 deg because of reflective
Angle C = 115 degree because 180 - 65
Since triangle = 180 deg
Angle D = 180 - 115 - 25
= 40 deg
Step-by-step explanation:
The ratio of boys to girls in a certain school is 2:3 calculate how many boys are there if there are 1500 learners in the school.
Answers
Answer:
700
Step-by-step explanation:
Answer:
the answer is 900 students
Step-by-step explanation:
if there are 5 parts to the ratio then take that and divide it by the total number of learners and then multply it by the ratio for the boys
Help! Quickly!
I beg thy to help.
Answers
Answer:
I think that B is the correct answer , 353.3 ft2 .
Good luck ^^
Answer Explanation: process of elimination
Write the point-slope form of an equation of the line through the points (-2, -3) and (-7, 4).
A. y+2=−75(x+3)
B. y−4=−75(x−7)
C. y+3=−75(x+2)
D. y+7=−75(x−4)
Answers
Answer:
458435464546484845kdnh
Answer:
C. y+3=−7/5(x+2)
Step-by-step explanation:
Line is passing through the points (-2, -3) and (-7, 4).
Slope of line = (-3 - 4)/[-2-(-7)]= (-7)/(-2+7) = - 7/5
Equation of line in the point-slope form is given as with point (-2, -3).
y - (-3) = - 7/5[x - (-2)]
y + 3 = - 7/5(x +2)
A set of cards is numbered 1,2,3,4,5,6,7,8,9,10,11,12. Suppose you pick a card at random without looking. Find the probability of each event. Write as a fraction in simplest form for each questions.
P(3) =
P(a number that starts with the letter T) =
P(odd number) =
P(multiple of 4) =
P(3 or 5) =
P(13) =
Answers
Answer:
3= 1/12
a number with the letter T= 1/3
odd number= 1/2
multiple of 4= 1/6
3 or 5= 1/6
13= 0
Answer:
p(3)=1/3
p(a number that starts with the letter T)=1/3
p(odd number)=1/2
p(multiple of 4)=1/4
p(3 or 5)=1/6
p(13)=0
Please help im lost..
Answers
Answer:
c
Step-by-step explanation:
Bob is throwing a party. He has 222222 pints of soda. At the end of the party, there are 888 pints of soda.
How many cups of soda were drank during the party?
Answers
I do not know that that is hard
Answer: Why does this guy need so much soda? And my brain isn't working for math right now. Sorry sweetheart.
Step-by-step explanation: Have a nice day!
Determine the value of x. Round answer to the nearest hundredth. thank you to whoever helps! Will Be Marked as BRAINLIEST!
Answers
Answer:
34.61Step-by-step explanation:
Find the diagram attached
From the diagram;
Hypotenuse = 81.9
Angle of elevation = 65degrees
Required
The value of x (Adjacent)
Using the SOH CAH TOA identity
cos theta = adjacent/Hypotenuse
cos 65 = x/81.9
x = 81.9cos65
x = 81.9(0.4226)
x = 34.61
Hence the value of x to the nearest hundredth is 34.61
Plzzz can someone help me out???
Answers
Which of the following expressions represents the value, in dollars, of a certain number of dimes, d, and pennies, p?
Answers
Answer:
If your answer choices are:
0.01d + 0.10p
0.10d + 0.01p
0.11dp
0.11d + p
A dime is 10% of a dollar and a penny is 1% of a dollar, or 0.10 and 0.01
Then 0.10d + 0.01p is the expression
Hope this helps!
PLZ HELPPP.3+28/z +4s use z=7 and s=5
Answers
=> 3+4+20
=> 27
Which statement is true of z11.7?
z11.7 is between 0 and 1 standard deviations of the mean.
z11.7 is between 1 and 2 standard deviations of the mean.
z11.7 is between 2 and 3 standard deviations of the mean.
Answers
Answer
z11.7 is between 1 and 2 standard deviations of the mean.
Step-by-step explanation:
Calcular la magnitud de la velocidad angular y el período de
una rueda que gira con una frecuencia de 1200 rpm.
Answers
Answer:
The magnitude of the angular velocity is 125.66 rad / s and the period is 0.05 seconds.
Step-by-step explanation:
The computation of the magnitude and the period is given below:
First we determine the angular velocity that transforming the revolutions per minute,
So,
ω = (1200 rev / min) × (2π rad / rev) × (1 min / 60s)
ω = 125.66 rad / s
Now, the period is
ω = 2π ÷ T
T = 2π ÷ (125.66 rad / s)
T = 0.05 s
Hence, the angular velocity has a value of 125.66 rad / s and the period is 0.05 seconds.
What is the perimeter of the triangle?
Answers
The perimeter of the triangle is 34.2 units
How to determine the valueTo determine the value of the perimeter, we need to know the following;
A triangle has three sidesA triangle has three anglesThe sum total of the interior angles of a triangle is 180 degreesA triangle is a 3 - sided polygonThe formula that is used for calculating the perimeter of a triangle is expressed as;
P = a + b+ c
Such that a , b and c are the lengths of the sides of the triangle
Then, we have that;
Using the Pythagorean theorem
a² = 81 + 121
a² = 202
a = √202 = 14.2 units
Perimeter = 9 + 11 + 14.2
Add the values
Perimeter = 34.2 units
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Pls help asap giving brainliest waited for 5 hours oof
Answers
Answer:3rd answer down (top to bottom)
Step-by-step explanation: c=dπ so
c=96π
c=96*3.14=301.4
so 3rd one down is the answer!
Hope this helps!
Answer:
c
Step-by-step explanation:
because its true
An 18-ounce bottle of juice costs $4.86. What is the unit rate for the juice
Answers
Answer:
3.7
Step-by-step explanation:
Answer:
The Unit Rate would be 0.27:1
Step-by-step explanation:
Divide 4.86 by 18 to get 0.27
Hope this helps! Pls make brainliest
Which of the following phrases are equations?
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
4x^34x
3
4, x, cubed
(Choice B)
B
b=9b=9b, equals, 9
(Choice C)
C
7+19=26\text{}7+19=267, plus, 19, equals, 26, start text, end text
(Choice D)
D
a+9>72a+9>72a, plus, 9, is greater than, 72
(Choice E)
E
x+y-\dfrac83x+y−
3
8
Answers
Answer:
c b
Step-by-step explanation:
khan
Which of the following describes theoretical probability?
Answers
Answer:
Roll of a Die
Step-by-step explanation:
If the diameter of a penny is 19.05 mm on each penny is 1.52 mm thick, what is the approximate volume of the roll of the roll of pennies? Use 3.14 for pie and round your answer to the nearest tenth.
Answers
Answer:433.0mm3
Step-by-step explana
Hiiioo :D can someone please help. I really need help. Much love ❤️❤️❤️
Answers
Answer:
The answer is the second one!
Have a wonderful day/night! <3
