Lee sold 16 hats.
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:
Cost of 1 hat= $8
Cost of shirt = $12
Total cost of spirit wear= $272
let the number of hats sold be x
and, let the number of shirts sold be y
So, 8x+ 12y= 272
and, x+ y= 28
Solving the above equations we get
8(28- y) + 12y= 272
224 - 8y + 12y = 272
4y = 48
y = 12
and x= 28- 12 = 16
Hence, Lee sold 16 hats.
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hey ok i need help on this question ive been stuck on it for a couple minutes haha
Answer:
The side s has a length of 4 and side q has a length of 4[tex]\sqrt{3}[/tex] ⇒ F
Step-by-step explanation:
In the 30°-60°-90° triangle, there is a ratio between its sides
side opp (30°) : side opp (60°) : hypotenuse
1 : [tex]\sqrt{3}[/tex] : 2
In the given triangle
∵ The side opposite to 30° is s
∵ The side opposite to 60° is q
∵ The hypotenuse is 8
→ Use the ratio above to find the lengths of s and q
side opp (30°) : side opp (60°) : hypotenuse
1 : [tex]\sqrt{3}[/tex] : 2
s : q : 8
→ By using cross multiplication
∵ s × 2 = 1 × 8
∴ 2s = 8
→ Divide both sides by 2
∴ s = 4
∴ The length of s is 4
∵ q × 2 = [tex]\sqrt{3}[/tex] × 8
∴ 2q = 8[tex]\sqrt{3}[/tex]
→ Divide both sides by 2
∴ q = 4[tex]\sqrt{3}[/tex]
∴ The length of q is 4[tex]\sqrt{3}[/tex]
A carpenter added a diagonal brace to gate. The gate is 8ft. Wide and 10 ft. Tall. How long is the brace
Answer:
The brace is [tex]2\sqrt{41}[/tex] ft ≅ 12.806 ft long
Step-by-step explanation:
The length of the diagonal of a rectangle can be found using this rule
[tex]d=\sqrt{l^{2}+w^{2}}[/tex] , where
l is its length w is its width∵ The gate has shaped a rectangle
∵ Its length = 10 ft
∵ Its width = 8 ft
∴ l = 10 and w = 8
∵ The brace is the diagonal
→ By using the rule above
∴ [tex]d=\sqrt{(10)^{2}+(8)^{2}}=\sqrt{100+64}=\sqrt{164}[/tex]
∴ The length of the brace = [tex]2\sqrt{41}[/tex] ≅ 12.806 ft
∴ The brace is [tex]2\sqrt{41}[/tex] ≅ 12.806 ft long
how do u solve this
A banner needs to be enlarged from its original format. The dimensions of the original are 4 cm tall by 25 cm wide.The enlarged banner needs to be at least 8 cm wide but no more than 1.4 m tall. Calculate the minimum and maximum ratios of enlargement possible.
Please help me it’s emergency please
A dyadic angle is an angle that is a sum of principle dyadic angles, this is to say that its measure in radians is zero or 2(pi) x (m/(2^n)) for some of the natural numbers m and n. Show that the sum and average of two dyadic angles is again a dyadic angle.
Answer:
attached below
Step-by-step explanation:
A dyadic angle is the sum of two principal dyadic angles
lets assume P and Q to be dyadic angles also assuming that they are non-zero in Radians
attached below is the proof that sum and average of two dyadic angles is a dyadic angle
A. What is the area of square ABCD?
B. What is the area of square EFGH?
C. What is the area of the unshaded region of ABCD.
NEED HELP!!!!
Not very good with these kinds of problems
Please help meeeeeeee
Classify each function as linear or nonlinear.
Step-by-step explanation:
Linear:
4x - y = 3
-6x = 3y - 17
x = y/5
non linear:
(x/2)^2 + 1 = y
y/x^2 = 4
2x^2 = 12 - 8y
What is 70% of 900
Pls answer quickly
Answer:
630Step-by-step explanation:
10% of 900 is 90 (900÷10)
20% of 900 is 180 (90×2) - basically the 10% times 2
50% of 900 is 450 (900÷2)
450+180=630 - the sum of the 20% and 50%
What is the slope-intercept equation for the line below?
(5, 4)
(0, 2)
Answer:
=
2/5x +2
Step-by-step explanation:
let me know if im wrong
hope it helps :)
Answer:
A. y=2/5x +2
step-by-step explanation:
hope this helped :-)
abel has $10. he buys a hotdogs for $2,and then he buys 5 bags of chips. if he has no money left, what was the cost of each bag
Answer:
$1.6
Step-by-step explanation:
do 10-2 then you do 8 dived by 5
Answer:
The cost of each bag is $1.6 according to my calculations.
Step-by-step explanation:
25 points
Write an equation in slope intercept form
(-3,0) (2,1)
Answer:
y = 1/5x + 3/5
Step-by-step explanation:
A manufacturer claims that the mean lifetime of its lithium batteries is 1200 hours. A homeowner selects 25 of these batteries and finds the mean lifetime to be 1180 hours with a standard deviation of 80 hours. Test the manufacturer's claim. Use ΅ = 0.05. Round the test statistic to the nearest thousandth.
Answer:
Since p is > α we fail to reject the Null as the result is not significant at α = 0.05
Step-by-step explanation:
Given that:
Mean lifetime (m) = 1200
Sample size (n) = 25
Sample mean (x) = 1180
Standard deviation (s) = 80
α = 0.05
The null hypothesis :
H0 : m = 1200
Alternative hypothesis : m ≠1200
The t statistic :
(x - m) / (s/√n)
(1180 - 1200) / (80 / √25)
-20 / (80/5)
= - 1.250
P value = 0.10565 ( p value calculator)
Reject Null hypothesis if p > α
At α = 0.05
Since p is > α we fail to reject the Null as the result is not significant at α = 0.05
Find the remaining zeros of f using the given information about the polynomial.
Then write the linear factorization of the polynomial. Degree 4;
zeros: 3i, square root {7}
Answer:
noloce necesito puntos
please help please answer surely please
Answer:
C. 48 m
Step-by-step explanation:
The two vertical sides add up to be (8*2) m = 16m.
The two horizontal sides can be added up to (14*2) m = 28m.
(The top horizontal side can be found by pushing the line in the middle up to the level of the other two portions of the same side.)
Finally, add the leftover two sides (2*2) m = 4m.
16+28+4 = 48.
Hope this helped!
Answer:
C-48
Step-by-step explanation:
hi , you need to fill in the blanks and then add them all together
Write the first four terms of sequence Rule:start at 28.6, subtract 3.1
28.6, 25.5, 22.4, 19.3... hope this helps!!
Find the slope of the line passing through the points (-2, 8) and (3,8).
Please help!!
Answer:
y=8
Step-by-step explanation:
(-2,8) (3,8)
x,y. x,y
y2-y1/X2-X1=
8-(8)= 0
3-(-2)= 5
since the two points have 8 in the Y space the line would be equal to y= 8
PLA HELP ME 100 POINTS FOR TO ANSWER
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the
function?
O Locate the ordered pair (0, -6). From that point on the graph, move up 2, right 1 to locate the next ordered pair or
the line. Draw a line through the two points.
O Locate the ordered pair (0, -6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on
the line. Draw a line through the two points.
O Locate the ordered pair (-6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on
the line. Draw a line through the two points.
O Locate the ordered pair (-6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on
the line. Draw a line through the two points.
Answer: A
Step-by-step explanation: e2020
Answer:
one
Step-by-step explanation:
Which is the function represented by the table ?
Answer:
its b
Step-by-step explanation:
How many units are there
Answer:
There are 9 units
Step-by-step explanation:
A credit card company uses your average daily balance to compute your finance charge. You charge $100 on May 2 and $200 on May 20. What is your average daily balance?
Answer:
$5.56Step-by-step explanation:
On may 2, charge = $100
On may 20, charge = $200
To get the average daily balance, we will use the concept of calculating slope;
let d be day of the month and c be the amount charged
when d1 = 2, c1 = 100
when d2 = 20, c2 = 200
average daily balance = c2-c1/d2-d1
average daily balance = 200-100/20-2
average daily balance = 100/18
average daily balance ≈ 5.56
Hence your average daily balance is approximately $5.56
Answer the question in the picture. Thanks!
Answer:
4+3x=9
Step-by-step explanation:
All of the other choices equal to 4x+12=9 except 4+3x.
if f(x)=3x-1 find f(2)
pls show steps I rlly need to understand this!
What is the slope of this line?
A: - 1/3
B: - 2/3
C: 2/3
D: 1/3
Answer:
The answer is C. 2/3
Step-by-step explanation:
Answer:
C. 2/3
Step-by-step explanation:
equation for slope: y2 - y1 / x2 - x1
Pick any two exact points from the line. I will use (0, -3) and (3, -1)
The y's for both points are -3 and -1. The x are 0 and 3. Plug that into the equation
-3 - (-1) / 0 - 3
= -3 +1 / 0 - 3
-2/-3
Negatives cancel so it becomes positive
So the slope is 2/3
What is the weight of 2 apples? *
.12
.24
16.67
8.33
Answer:
0.24
Step-by-step explanation:
Have a wonderful day <3
Find the total surface area of this cone,
Round to the nearest tenth.
6cm
4cm
[?] cm2
Answer:
125.7cm²
Step-by-step explanation:
Given parameters:
Slant height, L = 6cm
Base radius = 4cm
Unknown:
Total surface area = ?
Solution:
To find the total surface area, we use the expression;
Surface area = [tex]\pi[/tex]r² + [tex]\pi[/tex]rL
Now insert the parameters and solve
Surface area = [tex]\pi[/tex]r(r + L )
Surface area = [tex]\pi[/tex] x 4 (4 + 6) = 3.142 x 4 x 10 = 125.7cm²
If y is directly proportional with x and y=24 when x=6. What is the value of x when y=16
Answer:
x = 4
Step-by-step explanation:
Given y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition y = 24 when x = 6 , then
24 = 6k ( divide both sides by 6 )
4 = k
y = 4x ← equation of proportion
When y = 16, then
16 = 4x ( divide both sides by 4 )
4 = x
In the year 2007, a company made $6.6 million in profit. For each consecutive year after that, their profit increased by 13%. How much would the company's profit be in the year 2010, to the nearest tenth of a million dollars?
Answer:
$9.5 million
Step-by-step explanation:
Profits = $6.6 million
Each year increase = 13% = 0.13
2007 - 2010 = 3 years
Profits = 6.6(1 + .13)^3
= 6.6(1.13)^3
= 6.6 × 1.442896
= $9.5231202 million
Approximately $9.5 million to the tenths of a million dollars
Bdbdjekdmfmfmfkfmf help
Answer:
Green box: 9
Step-by-step explanation:
7/7 x 9/10
1 x 9/10 = 9/10
if two equations are the same at two different points, what can be said about the two equations?
Answer:
They are parallel
Step-by-step explanation:
They will have the same slope but never intersect