Answer:
Cost of turkey sandwich is $4.50 and cost of salad is $3.50
Step-by-step explanation:
Let cost of 1 turkey sandwich be $t and cost of 1 salad be $s.
2t + 4s = 23 --(1)
s + 1 = t
s = t - 1 --(2)
Sub (2) into (1):
2t + 4(t - 1) = 23
6t - 4 = 23
6t = 27
t = 4.5
sub t = 4.5 into (2):
s = 4.5 - 1
s = 3.5
therefore, cost of turkey sandwich is $4.50 and cost of salad is $3.50
Solve for e 0.75(8+e)=2-1.25e
Find the equation of the linear function represented by the table below in slope intercept form.
Step-by-step explanation:
let the eqn be y = mx + b.
m = (7 - 3)/(2 - 1) = 4
sub (1, 3):
3 = 4(1) + b
b = -1
therefore, equation is y = 4x - 1
Topic: coordinate geometry
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
Solve the following inequality using the algebraic approach:
5x-1 < 2x + 11
Answer:
[tex]\boxed {x < 4}[/tex]
Step-by-step explanation:
Solve the given inequality:
[tex]5x - 1 < 2x + 11[/tex]
-Take [tex]2x[/tex] and subtract it from [tex]5x[/tex]:
[tex]5x - 1 - 2x < 2x - 2x + 11[/tex]
[tex]3x - 1 < 11[/tex]
-Add both sides by [tex]1[/tex]:
[tex]3x - 1 + 1 < 11 + 1[/tex]
[tex]3x < 12[/tex]
-Since [tex]3[/tex] is positive, then the inequality sign remains the same. So, divide both sides by [tex]3[/tex]:
[tex]\frac{3x}{3} < \frac{12}{3}[/tex]
[tex]\boxed {x < 4}[/tex] (final answer)
The incubation period for the eggs of a house wren is normally distributed with a mean of 336 hours and a standard deviation of 3.5 hours.
Find the probability that an egg has an incubation period between 328 and 338 hours.
Suppose a researcher has fifteen house wren eggs in an incubator. Find the probability that the average incubation time for the fifteen eggs is greater than 337 hours.
Suppose it is known that 33% of House wren eggs never hatch. Suppose an ornithologist has forty house wren eggs. Find the probability that less than 25% never hatch.
Answer:
a) 0.705015
b) 0.13424
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
The incubation period for the eggs of a house wren is normally distributed with a mean of 336 hours and a standard deviation of 3.5 hours.
a) Find the probability that an egg has an incubation period between 328 and 338 hours.
For x = 328
z = 328 - 336/3.5
z = -2.28571
Probability value from Z-Table:
P(x = 328) = 0.011135
For x = 338
z = 338 - 336/3.5
z = 0.57143
Probability value from Z-Table:
P(x = 338) = 0.71615
The probability that an egg has an incubation period between 328 and 338 hours.
P(x = 338) - (P(x = 328)
0.71615 - 0.011135
= 0.705015
b) Suppose a researcher has fifteen house wren eggs in an incubator. Find the probability that the average incubation time for the fifteen eggs is greater than 337 hours.
We are given a sample of 15 wren eggs,
We use this z score formula
z = (x-μ)/σ/√n, where
x is the raw score
μ is the population mean
σ is the population standard deviation
n is random number of samples
z = 337 - 336/3.5/√15
z = 1.10657
Probability value from Z-Table:
P(x<337) = 0.86576
P(x>337) = 1 - P(x<337) = 0.13424
Suppose it is known that 33% of House wren eggs never hatch. Suppose an ornithologist has forty house wren eggs. Find the probability that less than 25% never hatch.
best estimate for 563 / 15
Answer: 37 8/15 or 37.53
Step-by-step explanation:
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Work out what x =
Please and explication
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Suppose Tetha = alpha = 26°
Then ;
[tex] \tan( \alpha ) = \frac{y}{x} \\ [/tex]
[tex] \tan(26°) = \frac{8}{x} \\ [/tex]
[tex]0.487 = \frac{8}{x} \\ [/tex]
Multiply sides by x
[tex]0.487x = 8[/tex]
Divide sides by 0.487
[tex]x = \frac{8}{0.487} \\ [/tex]
[tex]x = 16.427[/tex]
[tex]x≈ 16.43[/tex]
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After 10 years, the principal on this mortgage is $136,683. How much of the next payment will go towards interest
Answer:
26123 is the answer have a good day
Write an equation that represents the following word problem.
Jackie has four more apples than Mark and together they have twelve apples. How many apples do each Jackie and Mark have?
a + (a - 4) = 12
a + (a + 4) = 12
both of these would work
neither of these would work
Answer:
Both would work.
Step-by-step explanation:
If we call Jackie's apples a, then Mark has a - 4 apples. Therefore, together they have a + (a - 4) apples, and we know that they have a total of 12 apples so we can write a + (a - 4) = 12 to represent the situation. On the other hand, if Mark has a apples, then Jackie has a + 4 apples, so we can also write a + (a + 4) = 12 to represent the situation as well. Therefore, both of the equations would work. Hope this helps!
Answer:
both
Step-by-step explanation:
I got it right on the quiz
5/25 in its simplest form
Answer: [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
[tex]\frac{5}{25} =\frac{1}{5}[/tex]
If the ages in a classroom were 11, 12, 12, 13, 13, 14 - what would the median age be if you added someone that was 10 years old?
Answer: 12 years old
Step-by-step explanation:
10,11,12,12,13,13,14
The middle in these numbers is 12
find specified geometric series of the following geometric sequences of 3, 12, 48,... S7 with solution?
Answer:
Step-by-step explanation:
The formula for fundung the nth term of t geometeric series is expressed as;
Tn = ar^(n-1)
a is the first term
n is the number of term
r is the common ratio
Given
a = 3
r = 21/3 = 48/12 = 4
Substitute
Tn = 3(4)^(n-1)
Tn = 3(4^n/4)
Tn = 3/4(4^n)
Tn = 0.75(4^n)
Hence the nth term of the geometric series is Tn = 0.75(4^n)
To get any term, simply substitute the value of into the equation
If you can do your homework at a rate of 5.3 minutes for every problem, how many problems could be done after 9.01 hours? Round to a whole number.
Answer:
I can do 102 problems in 9.01 hours.
Step-by-step explanation:
9.01 hours = 9.01 * 60 = 540.6 minutes
540.6 / 5.3 = 102
Which equation represents the line that passes through
the point (10, 1) and is perpendicular to the graph of
2x - y = 7?
Answer:
x+2y=12
Step-by-step explanation:
I used DESMOS graphing calculator. I highly recommend it for problems like this.
How do you do this question?
Answer:
∑ₙ₌₀°° 8 (-1)ⁿ x⁴ⁿ⁺¹ / (9ⁿ (2n)!)
Step-by-step explanation:
Start with the Maclaurin series for cos x.
cos x = ∑ₙ₌₀°° (-1)ⁿ x²ⁿ / (2n)!
Substitute ⅓ x².
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ (⅓ x²)²ⁿ / (2n)!
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ (⅓)²ⁿ x⁴ⁿ / (2n)!
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ x⁴ⁿ / (9ⁿ (2n)!)
Multiply by 8x.
8x cos (⅓ x²) = ∑ₙ₌₀°° 8x (-1)ⁿ x⁴ⁿ / (9ⁿ (2n)!)
8x cos (⅓ x²) = ∑ₙ₌₀°° 8 (-1)ⁿ x⁴ⁿ⁺¹ / (9ⁿ (2n)!)
what is the greatest common factor of 14x+28+21
Answer:
7 (2x+7)
Step-by-step explanation:
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︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎
︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎
Answer:
The greatest common factor is 7.
Step-by-step explanation:
7 x 2 = 14
7 x 4 = 28
7 x 3 = 21
The figure shown has two parallel lines cut by a transversal:
Use the figure to complete the sentence.
∠6 and ____ are corresponding angles.
a
∠2
b
∠3
c
∠7
d
∠8
Answer:
A, angle 2
Step-by-step explanation:
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Each side of a regular polygon is 5.2 m and its perimeter is 36.4 m. Find the number of sides of the polygon.
Answer:
Number of sides of the polygon is 7.
Step-by-step explanation:
Let x be the number of sides of the polygon.
Given ,
Length of each side = 5.2 m
Perimeter = 36.4 m
=> 5.2*x = 36.4
x = 36.4/5.2
x = 7
need help on this please
Find the orthogonal trajectories of the family of curves. (Use C for any needed constant.)
x^2 + 2y^2 = 17k^2
Answer:
y = Ax^2
Step-by-step explanation:
below is the detailed solution
To determine the orthogonal trajectories of the family of curves
X^2 + 2y^2 = 17k^2
we have to differentiateX^2 + 2y^2 = 17k^2 with respect to x
= 2x + 4y dy/dx = 0
Hence : dy/dx = - x/2y
we have to determine the negative reciprocal
dy/dx = 2y/x ----------- 1
integrate equation 1
∫dy/2y = ∫dx/x
= 1/2 log y = log x + log c
log y = 2logx + 2logc
log y = logx^2 + logC^2
therefore : y = Ax^2 ; where C^2 = A
Which is an equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12?
Answer:
x= -2
y= 3
Now,
5x-y = 12
5*(-2) - 3 = 12
-10 - 3 = 12
-13 = 12
So, this equation doesnot pass through (-2,3).
Can anyone help me solve point 1?
Answer:
Option C
Step-by-step explanation:
I took this before
Answer:
C
Step-by-step explanation:
take out the brackets and merge them
The cashier counts $2500in $100 bills. She exchanged all the $100 bills for $10 bills. How many $10 bills does she receive?
Answer:
250
Step-by-step explanation:
josie walks 3/4 miles in 1/5 hour. what is josie’s speed in miles per hour ?
Answer:
3.75 mi/h
Step-by-step explanation:
0.75 miles in 0.20 hour
Speed = Distance divided by time
0.75/0.20
3.75 mi/h
Find all x-intercepts of the function. Express your answer as a list of x-values
f(x) = x^3+x^2+x-1
Answer:
(0.54368901,0)
Step-by-step explanation:
Subsititute 0 for y and solve to find the x-intercepts.
Someone pls help ASAP thanks !!
Answer:
The volume will increase
Step-by-step explanation:
Winter is coming, so Sasha decides to buy new outdoor gear. She has a coupon good for 25% off. She buys a coat with an original price of $85.75, a pair of boots with an original price of $71.99, a scarf with an original price of $24.25, and a pair of gloves with an original price of $44.95. She pays a total of $208.94. To which item did Sasha apply her coupon? a. coat b. boots c. scarf d. gloves
Yes, the answer is B. Boots
Edgenuit.y 2021
On boots Sasha applied the coupon of 25%, option B is correct.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
If Sasha paid a total of $208.94 and applied the 25% coupon to one of the items, then we can set up the following equation:
$85.75 + $71.99 + $24.25 + $44.95 - 0.25x = $208.94
where x is the original price of the item to which Sasha applied the coupon.
Simplifying the equation, we get:
$226.94 - 0.25x = $208.94
0.25x = $18.00
x = $72.00
This means that the original price of the boots was $71.99, and Sasha applied the 25% coupon to the boots, getting a discounted price of:
$71.99 - 0.25($71.99) = $53.99
Therefore, On boots Sasha applied the coupon of 25%, option B is correct.
To learn more on Percentage click:
https://brainly.com/question/28269290
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Find the product. Enter your final answer as a simplified fraction.
-1/8•7•2/5=
Answer:
-7/20
Step-by-step explanation:
Answer:
-1/140
Step-by-step explanation:
-1/8*7*2/5
-7/8*2/5
-7/20
Need help with geometry
Answer:
The first one is x=2
hence each sides of the equilateral is 6
The second one is x=2
hence AB=BC=8 and AC=6
Which linear equation can be derived from this proportion?
[tex]\frac{x - 9}{x - 3} = \frac{2}{5}[/tex]
A. 2x - 3 = 5x - 9
B. 2x - 9 = 5x - 3
C. 2x - 18 = 5x - 15
D. 2x - 6 = 5x - 45
9514 1404 393
Answer:
D. 2x - 6 = 5x - 45
Step-by-step explanation:
To make the linear equation, we can multiply the given equation by 5(x-3).
[tex]\dfrac{x-9}{x-3}=\dfrac{2}{5}\\\\\dfrac{(x-9)(5)(x-3)}{(x-3)}=\dfrac{2(5)(x-3)}{5}\\\\5(x-9)=2(x-3)\qquad\text{looks like }\textit{cross multiply}\\\\5x-45=2x-6\qquad\text{use the distributive property; matches D.}[/tex]
Answer:
The correct answer is D. 2x-6=5x-45
Step-by-step explanation:
I got it right on the Plato test.
If 3x + 7 = 5 for some value of x, then what does the expression 6x +17 equal for the same value of x?
Answer:
13
Step-by-step explanation:
First, double the first equation.
If 3x+7=5, then 6x+14=10
Since they are asking for 6x+17, the answer is 10+3=13
Hope I helped!
