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Holly spent a total of $28 to buy candy for his soccer team. He bought chocolate that cost $2 per bag and gummy that cost $3 per bag. There are 12 people on the team and each person only get one snack. x = bag of pretzel y = bag of chip
How many bars of chocolate did Holly buy?
Answer:
8 chocolate bars
Step-by-step explanation:
I need Unit 3 parallel and perpendicular lines Homework 5 slope of lines it’s due today!
14. Slope (m) of PQ = -4
Slope (m) of RS = 1/4
The lines are perpendicular.
15. mPQ = -3
mRS = 3
They are neither perpendicular nor parallel lines.
16. mPQ = 0
mRS = 0
The lines are parallel.
17. x = -6
18. x = -2
What are the Slopes of Parallel and Perpendicular Lines?If two lines have the same slope (m), then both lines are parallel to one another. On the other hand, if the slopes of two lines are negative reciprocals to each other, then both lines are regarded as perpendicular lines because the product of their slopes is equal to -1.
Slope (m) = change in y / change in x
14. Slope (m) of PQ = (-3 - 17) / (1 -(-4))
Slope (m) of PQ = -20/5 = -4
Slope (m) of RS = (4 - 3) / (-5 -(-9))
Slope (m) of RS = 1/4
(1/4)(-4) = -1, therefore, the lines are perpendicular.
15. Slope (m) of PQ = (-1 - 14) / (2 -(-3))
Slope (m) of PQ = -15/5 = -3
Slope (m) of RS = (-10 - 8) / (-2 - 4)
Slope (m) of RS = -18/-6 = 3
They are neither perpendicular nor parallel lines.
16. Slope (m) of PQ = (-1 - (-1)) / (-3 - 2)
Slope (m) of PQ = -0/-5 = 0
Slope (m) of RS = (9 - 9) / (-7 -(-11))
Slope (m) of RS = 0/4 = 0
The lines are parallel.
17. If CD║EF, their slope will be equal. Therefore:
Slope of CD = slope of EF
(-4 - 16)/(2 - x) = (4 - 14)/(-2 -(-6))
-20/(2 - x) = -10/4
-20/(2 - x) = -5/2
Cross multiply
-20(2) = -5(2 - x)
-40 = -10 + 5x
-40 + 10 = 5x
-30 = 5x
-30/5 = x
-6 = x
x = -6
18. Slope of JK = slope of l
(-5 -(-8))/(-1 - x) = 6/2
3/(-1 - x) = 3
3(-1 - x) = 3
-3 - 3x = 3
-3x = 3 + 3
-3x = 6
-3x/-3 = 6/-3
x = -2
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can anyone please solve this
Answer:
Its ether 3 or 4.
Step-by-step explanation:
its more than likely its 4 but I wasn't %100 sure.
the monthly income of a family is rs 2500 the ratio of the expenditure and saving is 3:2 find amount of saving.
Answer:
The amount of saving is Rs.1000.
Step-by-step explanation:
Solution :
Let the,
>> Expenditure = 3x>> Saving = 2xSo, solving for x.
[tex]{\dashrightarrow{\tt{Expenditure + Saving = 2500}}}[/tex]
[tex]{\dashrightarrow{\tt{3x + 2x = 2500}}}[/tex]
[tex]{\dashrightarrow{\tt{5x = 2500}}}[/tex]
[tex]{\dashrightarrow{\tt{x = 2500 \div 5}}}[/tex]
[tex]{\dashrightarrow{\tt{x = \dfrac{2500}{5}}}}[/tex]
[tex]{\dashrightarrow{\tt{x = \cancel{\dfrac{2500}{5}}}}}[/tex]
[tex]{\dashrightarrow{\tt{x =500}}}[/tex]
[tex]{\star{\underline{\boxed{\tt{\red{x =500}}}}}}[/tex]
Hence, the value of x is 500.
Thus,
>> Expenditure = 3 × 500 = Rs.1500>> Saving = 2 × 500 = Rs.1000[tex] \rule{300}{1.5}[/tex]
What is the average rate of change for this quadratic function for the interval
from x= -5 to x= -3?
A. 16
ОО
B. -8
C. 8
D. -16
Answer:
hi the answer should be C or 8
Step-by-step explanation:
Hope this helps!
Answer:
8
Step-by-step explanation:
The average rate of change is given by
f(x2) -f(x1)
---------------
x2-x1
x2 = -3 and x1 = -5
Looking at the graph
f(x2) = f(-3) = 1
f(x1)= f(-5) =-15
Substituting these values into the equation
1 - (-15)
---------------
-3 - (-5)
1+15
----------
-3 +5
16
----
2
8
nicole is making carrot bread. she needs 5 cups of carrots for every 2 cups of sugar. what is the ratio of cups of sugar to cups of carrots that nicole will need?
Answer:
2:5 ratio.
for every 2 cups sugar, she needs 5 cups carrots
hope this helps
I don’t anderstands but i wanna help
How many screeches are equal to 20 meows? 20 meows = 12 laughs 3 laughs = 2 purrs 40 purrs = 120 screeches Explain how you got there.
Answer:
24 screeches = 20 meows.
Step-by-step explanation:
Calculate purrs:
12/3 = 4
4*2= 8
Use purrs to calculate screeches:
Set up a proportion: [tex]\frac{8}{x} = \frac{40}{120}[/tex]Solve proportion by cross-multiplying8*120 = 960960/40 = 24 screeches7. A shopkeeper sold a pen set for 180 at a profit of 30. To make a profit of 26%, what should be the selling price of the pen set? 1otor
[tex]\huge\color{pink}\boxed{\colorbox{black}{Answer♡}}[/tex]
[tex]selling \: price \: of \: pen = 180 \: rs \\ profit = 30 \: rs \\ cost \: price = selling \: price - profit \\ = > 180 - 30 \\ = > 150 \: rs[/tex]———————————required profit = 26%so ,
[tex]new \: selling \: price = 150 + \frac{26}{100} \times 150 \\ = > 150 + 39 \\ = > 189 \: rs[/tex]
———————————thuѕ, thє nєw ѕєllíng prícє σf pєn ѕєt wíll вє rѕ. 189hσpє hєlpful~
Based on the information given the selling price of the pen set is $189.
Using this formula
Selling price=Selling price of pen+(Profit percentage× Selling price of pen)
Let plug in the formula
Selling Price=$150 +( 26% ×$150)
Selling Price=$150 +$39
Selling Price=$189
Inconclusion the selling price of the pen set is $189.
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2 x 3 2 x 7 = what Prime Factorization ?
A. 42
B. 84
C. 126
D. 252
Answer:
It's B
And Prime Factorization is when 2 numbers have the same answer.
Example: 3x8=24 and 4x6=24
Step-by-step explanation:
Pls help me
With the hard math problem
Answer:
A) For the first 10 minutes, the train travels 4 miles.B) The train stops at two stations before it arrives at Springfield. The first station is 4 miles from Metro center. The second station is 8 miles from Metro center.C) The longest time the train travels without stopping is 10 minutes.D) It takes 20 minutes to get from Metro center to SpringfieldHoped this helped.
[tex]BrainiacUser[/tex]
Please help on both. I’m not sure of my answrs before I submit. Thank u :)
HELP ME FAST 15 POINTS
Answer:
Option 2
Step-by-step explanation:
An inverse ralation is where the x and y coordinate values are reversed. In other words you just need to switch the x's and y's.
So from the definition above the right answer is
{(3,0),(2,-5),(7,4),(2,-8)}
Write the equation for 5x+ 2 y= 3 in slope-intercept form PLEASE HELP ME
y= -5/2x+ 3x
y=5/3x -3/5
y= -2/5x + 3/5
Answer:
y=-5/2x+3/2
Step-by-step explanation:
5x+2y=3
2y=3-5x
2y=-5x+3
y=-5/2x+3/2
James has $7.60 in nickels and quarters. He has 4 fewer nickels than quarters. How many of each coin does he have?
Which equations are true equations?
Select all correct answers.
24/2^2=50−62−8
56÷8+32=2⋅23
82−52=42−7
39−3⋅6=6⋅104+4
Answer: 24/2^2=50−62−8
Step-by-step explanation:
The equations which is true equation is 24/2² = 50−6²−8.
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:
1. 24/2² = 50−6²−8
LHS = 24/2² = 24/4 = 6
RHS = 50−6²−8 = 6
2. 56÷8+32=2⋅23
LHS = 56÷8+32 = 7 + 32 = 39
RHS = 2⋅23 = 46
3. 8²−5² =4²−7
LHS = 8²−5² = 39
RHS = 4²−7 = 21
4. 39−3⋅6=6⋅104+4
LHS = 39−3⋅6 = 35.4
RHS = 6⋅104+4 = 528
Hence, we can conclude that the equation 24/2² = 50 − 6² − 8 is true.
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Can someone plz help :(((((
What is the area, in square inches, of the rectangle?
Answer:
What are the side lengths?
I need help with this
Answer:
What do you need help with? Try uploading a picture or copying the question
Simple: get the Equation PART 2!!
Given g(x)=-x+4g, solve for x when g(x)=8
Answer:g(-4)=8
Step-by-step explanation:
Answer:
Step-by-step explanation:
Verify the following identity:
[tex]\dfrac{1-\sin t}{\cos^2t}+\dfrac{1}{1-\sin t}=2\sec^2t[/tex]
We will simplify the left hand side of the equation to look like the right
[tex]\displaystyle \frac{1-sin(t)}{cos^{2}(t)} + \frac{1}{1 - sin(t)}[/tex]
taking the LCM
[tex]\displaystyle \frac{[1-sin(t)]^{2} + cos^{2}(t)}{[cos^{2}(t)][1 - sin(t)]}[/tex]
expanding the binomial in the numerator
[tex]\displaystyle \frac{[1 + sin^{2}(t) - 2sin(t) + cos^{2}(t)]}{[cos^{2}(t)][1 - sin(t)]}[/tex]
Since sin²x + cos²x = 1
[tex]\displaystyle \frac{[2 - 2sin(t)]}{[cos^{2}(t)][1 - sin(t)]}[/tex]
factoring out the 2 from the numerator
[tex]\displaystyle \frac{2[1 - sin(t)]}{[cos^{2}(t)][1 - sin(t)]}[/tex]
1-sin(t) will cancel out
[tex]\displaystyle \frac{2}{cos^{2}(t)}[/tex]
since cos²(t) = 1/(sec²(t))
[tex]2 sec^{2}(t)[/tex]
which is equal to the right hand side of our given equation.
So we verified the identity!
Answer:
[tex]\rm 2 \sec {}^{2} T[/tex](Verified identity)
Step-by-step explanation:
Please refer to the attachment for calculations.
I hope this helps!
I don’t know how to simplify this fully;15x/5xy
Answer:
3/y
Step-by-step explanation:
15x
5xy
you would divide top and bottom by 5x, since it is their only common divisor.
you would then get 3/y. hope this helps
Danielle wants to buy a magazine for $11. The sales tax is 5%. How much would the total cost of the magazine be with tax included?
Answer:
$11.55
Step-by-step explanation:
If we convert the percentage to 1.05 and multiply it by 11, it's 11.55.
The maximum weight of a shipping container is 125 pounds.
What is the maximum weight in kilograms?
Round to the nearest kilogram.
Answer:
57kg
Step-by-step explanation:
The maximum weight of a shipping container would be 57 kilograms.
What are units of measurement?The units of measurement are a collection of units used to quantify various physical quantities. Since ancient times, humans have measured these things using a variety of units, including length, mass, volume, current, and temperature.
The maximum weight of a shipping container is 125 pounds which are given in the question.
We have to determine the maximum weight in kilograms
We know that the unit conversion of pounds to kilograms as
1 pound ≈ 0.45359237 kilogram
Multiply by 125 to get
125 pounds = 0.45359237 × 125 kilograms
125 pounds = 56.69904625 kilograms
Round to the nearest kilogram,
125 pounds = 57 kilograms
Therefore, the maximum weight of a shipping container would be 57 kilograms.
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does 12 11 and 7 make a right triangle
Answer: no
Step-by-step explanation: hope it helps
-4x -2 + 3x - 10 How many terms are there? SIMPLIFY. What is the coefficient of x?
Answer:
Number of coefficients of x: 2 coefficients (-4 and 3)
Number of terms: They're 4 terms. (-4x, -2, + 3x, and -10)
Simplified: - x - 12
Step-by-step explanation:
1) Subtract the numbers.
-4x - 12 + 3x
2) Combine like terms.
- x - 12
is 4.57691 rational?
Answer:
Possibly
Step-by-step explanation:
Depending on how the number is depicted, there are some easy tells. If the number is an integer, or a finite decimal, or decimal with an infinitely repeating portion (like ), or a fraction with integers, finite decimals, or repeating decimals
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
Step-by-step explanation:
y = 4/3x
you can see the line passes through (0,0)
the next point it passes through is (3,4)
(y2-y1)/(x2-x1)
(4 - 0)/(3 - 0)
4 / 3
the slope = 4/3
meaning it goes up 4 and right 3 from point to point
PLEASE HELP ME I NEED HELP
Answer:
3052.1 in³
Step-by-step explanation:
The volume of a sphere is given by the formula ...
V = 4/3πr³ . . . . r is the radius
The radius is half the diameter, so is 9 in. Then the volume is ...
V = (4/3)(3.14)(9 in)³ = 972(3.14) in³ ≈ 3052.1 in³
Find the roots of the equation
x^2 +7= 2x
express your answer in simplest a +bi form
[tex]x^2+7=2x\\\\\implies x^2 -2x +7 =0\\\\\text{Apply quadratic formula,}~ x =\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{in this case,}~ a = 1, b= -2 ~\text{and}~ c = 7\\\\\\x= \dfrac{-(-2) \pm \sqrt{(-2)^2 -4\cdot 1 \cdot 7}}{2\cdot 1}\\\\\\\implies x =\dfrac{2 \pm \sqrt{-24}}{2}\\\\\\\implies x = \dfrac{2 \pm i\sqrt{24}}2\\\\\implies x =\dfrac{2 \pm i2\sqrt{6}}2\\\\\implies x = \dfrac{2\left(1 \pm i \sqrt 6\right)}2\\\\\implies x = 1 \pm i\sqrt 6\\\\[/tex]
[tex]\text{Hence,}~ x = 1-i\sqrt 6 ~\text{or}~ x = 1+i\sqrt 6[/tex]