Answer:
16
Step-by-step explanation:
(3x +3) + (5x-2) + (3x+3) =180
3x +3 + 5x-2 + 3x+3 =180
11x +4=180
11x =180-4
11x=176
x=176/11
x= 16
Evelyn bought snacks for her team's practice. She bought a bag of chips for $2.99 and
a 20-pack of juice bottles. The total cost before tax was $36.39. Write and solve an
equation which can be used to determine i, how much each bottle of juice costs.
(36.39- 2.99)/20
Total- chips, so total amount for juice.
Then, divide by 20 because she bought 20 bottles
Answer:
1.67
Step-by-step explanation:
36.39 - 2.99 = 33.4 33.4 ÷ 20 = 1.67
The arithmetic mean of the heights of five pupils in a class is 164cm if another pupil whose height is 168cm joins the class, calculate the arithmetic mean of the heights of the 6 pupils
Answer:
164.67 cm
Step-by-step explanation:
The arithmetic mean of height of 5 pupils is 164cm . Let the sum of heights of 5 pupils be x . Then , according to the question ,
[tex]\sf\longrightarrow \dfrac{x}{5}= 164cm [/tex]
On solving ,
[tex]\sf\longrightarrow x = 5*164cm =\bf{820cm}[/tex]
When a student of height 168cm is added ,
[tex]\sf\longrightarrow Mean = \dfrac{820cm+168cm}{6}\\[/tex]
[tex]\sf\longrightarrow Mean = \dfrac{988}{6}\\ [/tex]
[tex]\sf\longrightarrow \boxed{\pink{\sf Mean = 164.66 \approx 164.67 cm }}[/tex]
An envelope is 6 in. wide and 4 in. high. Will a card with an 8 in. diagonal fit in it? Identify the correct explanation.
A) Because 7.2 < 8, it is possible that the card fits in the envelope.
B) Because 8.9 > 8, it is possible that the card fits in the envelope.
C) Because 7.2 < 8, it is NOT possible that the card fits in the envelope.
D) Because 8.9 > 8, it is NOT possible that the card fits in the envelope.
How to solve this? :)
Step-by-step explanation:
by understanding how a number actually works.
when I write e.g. the number 2648, what did I actually tell you ?
that there is a value or quantity that is
8×10⁰ + 4×10¹ + 6×10² + 2×10³
every number you or anybody else has ever written represented this type of information.
so, now we have a 2-digit number : xy
its value is : y×10⁰ + x×10¹
and because 10⁰ = 1 and 10¹ = 10, this is simply
x×10 + y or 10x + y
the description tells us that
|x - y| = 2
and that xy + yx = 132
that means
10x + y + 10y + x = 132
11x + 11y = 132
we can divide by 11 and get
x + y = 12
like 8+4 or 9+3.
and we know the difference between x and y is 2
like 6 and 4, or 1 and 3.
normally we should know the solution already (I do), but let's finish it formally.
we use one scenario of the absolute value equation :
x - y = 2
x = y + 2
and we use this in the second equation :
y + 2 + y = 12
2y + 2 = 12
2y = 10
y = 5
x = y + 2 = 5 + 2 = 7
the same, just with reversed positions, is the result when using
y - x = 2
so, we get actually 2 solutions that fulfill the requirement : 75 and 57, as they are both also the reverse number to the other.
help me please!!!!!! 20 points!
Answer:
Step-by-step explanation:
2x = x + 40
2x - x = x - x + 40
x = 40
∠I = ∠Q = 33°
∠H = ∠P = 80°
∠J = ∠R = 67°
I need help i have no clue what to do!
Answer:
Step-by-step explanation:
-6x-2y= -26
3(-6x-2y)= -26*3
-18x-6y= -78
(subtract this from the first equation)
(-2x-6y)-(-18x-6y)= -14+78
16x=64
x=4
Now that we know x= 4 we can plug that into an equation and solve for y
-2(4)-6y= -14
-8-6y= -14
-6= -6y
y= 1
x=4
y= 1
(4,1)
an athlete trains by running 300m eight times and 200m six times. How far does he run in kilometres?
I need help with these
I was too lazy to write all that on here so i did it on paper to make it easier, hope this helps :)
At 12:05, a
parachutist is 8000 feet above the ground.
At 12:08, the parachutist is 5400 feet
above the ground. Find the average rate of
change in feet per minute.
Can somebody answer this?
Answer:
its A
Step-by-step explanation:
Triangle JKL has the following measures:
Side JK = 4 cm
Side KL = 7 cm
Angle J = 38°
Triangle PQR has the following measures:
Side QR = 7 cm
Side PQ = 4 cm
Angle Q = 38°
Which statement is accurate about triangles JKL and PQR?
A. They are not congruent
B. They are based on AAS criteria
C. They are based on SSS criteria
D. They are based on SAS criteria
The triangles are not congruent.
Option A is correct.
Which equation can be used to determine the number of hourse, h hector works given the number of weeks w?
A. h = 20w
B. W=20h
C. H=2102
D.w=210h
help pleasee
[tex] \: \: \: \: \: [/tex]
A. h = 20wh=20win one week hector works 20 hoursin two hector works 40 etch = hours and w = weeks. the money is just extra information.h=20w works because if ithope it helps[tex] \: \: \: \: \: [/tex]
What are the solutions to the equation sin(x+7pi/2)=-sqrt 3/2
over the interval [0,2pi]?
Answer: C: pi/6 and 11pi/6 only
Step-by-step explanation:
Edge2020 :]
what is the answer to this question it is called (Solve Linear System Graphically (Lev. 1)
x≥ 0 , everthing to the right of the y-axis
y≥ 0 , everthing above the x-axis
So far you are in quadrant I of the x-y plane
y ≤ 3 , everthing from the above, but also below the horizontal line y = 3
lastly y ≤ -x + 5
sketch a line leaning 45° to the left with a y-intercept of 5, shade in everthing below that line
My diagram has a simple trapezoid consisting of a
rectangle with a right-angled triangle attached
now our Objective Function is
C = -5x + 3y , which is a line with slope 5/3
letting that line go through the origin, let it slide parallel to itself over the shaded region until you reach the farthest point from the origin.
On my diagram that looks like (5,0)
Class A was given a sunflower with a height of 8 centimeters that grows at a rate of 3 1/2 centimeters per week. Class B was given a sunflower with a height of 10 centimeters that grows at a rate of 3 1/4 centimeters per week. After how many weeks are the sunflowers the same height?
Answer:
8 weeks
Step-by-step explanation:
Since we know that the sunflower in Class B has a rate of 1/4 less, we know that it will eventually catch on to sunflower A.
First, we have to look at the difference which is 2. How many 1/4ths makes 2?
8.
Therefore, 8 weeks would be your answer.
-kiniwih426
Find the measure of the angle marked with a question mark using inverse trig
functions. Round your answer to the nearest degree. Enter the number only.
I need the answer quick
Applying the tangent ratio, the value of x in the right triangle is approximately: 5.
What is the Tangent Ratio?Tangent ratio that can be applied to solve a right triangle is expressed as: tan ∅ = opp/adj.
Given the following:
∅ = 63°Opp = 10 Adj. = xtan 63 = 10/x
x = 10/tan 63
x ≈ 5
Learn more about the tangent ratio on:
https://brainly.com/question/4326804
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radius equal to 15 cm what is the circumference of the circle
Given:
Radius = 15 cm
To Find:
Circumference of the circle
Let's start.
We know that the formula of Circumference is
[tex] \sf \longmapsto2\pi r[/tex]
Put the values We know that the formula of [tex]\sf\pi[/tex] is 3.14Radius given is 15 centimetre[tex] \sf \longmapsto \: 2 \times 3.14 \times r[/tex]
[tex] \sf \longmapsto2 \times 3.14 \times( 15 \: cm)[/tex]
[tex] \sf \longmapsto6.28 \times (15 \: cm)[/tex]
[tex] \sf \longmapsto94.2 \: cm[/tex]
[tex] \boxed{\red{\boxed{\sf 94.2 \: cm}}}[/tex]
f(x)=-3x^2 find f(-2)
Answer:
12
Step-by-step explanation:
f(-2)=3(-2)^2
f(-2)=3(4)
f(-2)=12
What is the value of p?
p + 2 - 4= 14
Drag and drop the correct answer in the box.
Answer:
p = 16
Step-by-step explanation:
(p + 2) - 4 = 14
We can just drop the parentheses:_
p + 2 - 4 = 14
p - 2 = 14
Add 2 to both sides:-
p - 2 + 2 = 14 + 2
p = 16
A truck rental is $25 plus $.30/mi. Find out how many miles Ken traveled if his bill was $50.20.
Lets start by finding the equation.
25 is the constant, .3 is the slope, and 50.2 is the final.
This means that our equation is:
50.2 = .3x + 25
50.2 - 25 = .3x
25.2 = .3x
25.2 / .3 = x
84 = x
This means that Ken travelled 84 miles if his bill was $50.2.
I hope this helps! :)
Write down an equation of the line that is perpendicular to y=2x+5
I will mark as brainliest
Answer:
y = -1/2x +5
Step-by-step explanation:
The perpendicular slope will be the negative reciprocal of the original slope
the reciprocal of 2 is 1/2, and the negative of that is -1/2
How do you write 7460 in standard form?
Answer:
7460
Step-by-step explanation:
To write a linear expression in standard form, rearrange the terms in alphabetical order.
7460
Answer:
a = 7.46
7.46 x 103
103 = 1,000 x 7.46 = 7,460
here your answer
hope it helps you
insane in the membrane
Robert runs 3 times a week for 12 weeks. Each run is 4 miles. How many total miles will he run during 12 weeks?
Answer:
144
Step-by-step explanation:
first you gotta do 3x4 which is 12 then 12x12. and then you get 144.
Robert will run a total of 144 miles during the 12 weeks.
Given:
Robert runs 3 times a week for 12 weeks.
So, total number of runs will be:
= 3 runs/week * 12 weeks
= 36 runs
Since each run is 4 miles, multiply the total number of runs by the distance per run:
= 36 runs * 4 miles/run
= 144 miles
Therefore, Robert will run a total of 144 miles.
Learn more about Unitary Method here:
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At a local grocery store, 7 lb of squash cost $14.00
and 4 lb of tomatoes cost $10.00.
Answer:
1 LB of tomatoes is $2.50 and 1 LB of squash is $2.00
Step-by-step explanation:
If 5 boxes of cereal cost $27.50, how much does one box of cereal cost? a) $5.50 b) $5.05 c) $550 d) .55
}
Answer:B
Step-by-step explanation: I said that because you have 27 and 50 Cent so basically you won't have that $5 in that picture because you still going to have that $0.04 and then you still have to have that much so I I think I am right but if I'm not I'm so sorry but I'm taking not even to get I'm trying to get back on track but I think is b for a reason like I think you could be because you have 27 and 50 Cent so if you got twenty-seven fifty cents you just rounding it down
Answer:
ans is i think a) $5.50
Step-by-step explanation:
'cuz if 5 boxes cost $27.50
so it will be
[tex]27.50 \div 5 \\ = 5.50[/tex]
Consider the two linear expressions. -(-3 -60 – 3) and 3.5 – 60 Are the two linear expressions equivalent? Drag a word or phrase to the box to correctly complete the statement
A ticket to see your favorite baseball team costs $. 45.04That price decreases by $0.24for every game lost during the regular season. What equation could you use to find the cost C of a ticket after L losses? Represent the total change in the cost of a ticket after the team loses 41 games. What is the price of a ticket after the team loses 41 games?
A six-foot person walks from the base of a streetlight directly toward the tip of the shadow cast by the streetlight. When the person is 12 feet from the streetlight and 5 feet from the tip of the streetlight's shadow, the person's shadow starts to appear beyond the streetlight's shadow.
Required:
a. Draw a right triangle that gives a visual representation of the problem. Show the known quantities and use a variable to indicate the height of the streetlight.
b. What is the height of the streetlight?
Answer:
Step-by-step explanation:
A group of 12 adults and 26 children go to a theme park.
The total cost of tickets is £1804.80.
An adult's ticket costs £51.60
Find the cost of a ticket for a child.
Answer:
I don't have the Pound Sterling sign on my keyboard but the answer is $45.60
Step-by-step explanation:
Since each adult ticket costs $51.60 and there are 12 adults
The total cost of adult tickets = $51.60*12=$619.20
Then take the total cost of tickets and subtract $619.20 from it
$1804.80-619.20=$1185.60 that's the total cost of children's tickets
Since there are 26 children you have to divide that answer by 26 to get it
$1185.60/26=$45.60