Answer:
Cost of a coffee = $1.5
Cost of a muffin = $1.25
Step-by-step explanation:
Given:
Cost of 3 coffee and 2 muffins = $7
Cost of 2 coffee and 4 muffins = $8
Find:
Cost of each
Computation:
Assume;
Cost of a coffee = a
Cost of a muffin = b
So,
3a + 2b = 7 .......... Eq1
2a + 4b = 8 .......... Eq2
Eq1 x 2
6a + 4b = 14 ......... Eq3
From Eq3 - Eq2
4a = 6
a = 1.5
Cost of a coffee = $1.5
3a + 2b = 7
3(1.5) + 2b = 7
4.5 + 2b = 7
b = 2.5/2
b = 1.25
Cost of a muffin = $1.25
Volume of Prisms and Cylinders
a. 339.12 cu. in.
b. 113.04 cu. in
c. 226.08 cu. in.
d. 1356.48 cu. in
Please select the best answer from choices provided
Answer:
A. 339.12 cu. in.
Step-by-step explanation:
I calculated it logically
Two numbers are in the ratio 5:6. If the smaller one is decreased by 5 and
the other is increased by 3, the new ratio is 2:3. Find the number.
Answer:
Smallest Number = 35
Other Number = 42
Step-by-step explanation:
Let the smaller number be x.
Let the other number be y.
Given:
x : y = 5 : 6
That is,
[tex]\frac{x}{y} = \frac{5}{6}[/tex]
[tex]=> 5y = 6x\\\\=>x = \frac{5y}{6}[/tex]
Next: Let the smaller number be reduced by 5, x - 5
Let the other number be increased by 3, y + 3
Given : (x - 5) : (y + 3) = 2 : 3
That is,
[tex]\frac{x-5}{y+3} = \frac{2}{3}\\[/tex]
[tex](x-5) \times 3 = (y+3)\times 2\\\\substitute \ x = \frac{5y}{6}\\\\3(\frac{5y}{6} -5) = 2y + 6\\\\\frac{5y}{2} - 15 = 2y + 6\\\\\frac{5y}{2} - 2y = 6 + 15\\\\\frac{5y-4y}{2} = 21\\\\y = 21 \times 2 = 42\\\\Substitute \ y \ in \ x = \frac{5y}{6} \\\\x = \frac{5 \times 42}{6} = 35[/tex]
Can someone help me with this? Please and thank you!
Answer:
She should find the squares between 4.2 and 4.3
Step-by-step explanation:
The square of 4.2 was too low and the square for 4.3 was too high so the answer is between the two.
The probability that a battery will last 10 hours or more is 80%, but the probability that a battery will last 15 hours or more is only 15%. What is the probability that a battery will last 15 hours or more given that it has lasted 10 hours or more
Answer:
0.1875 = 18.75% probability that a battery will last 15 hours or more given that it has lasted 10 hours or more.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Lasting 10 hours or more.
Event B: Lasting 15 hours or more.
The probability that a battery will last 10 hours or more is 80%.
This means that [tex]P(A) = 0.8[/tex]
Probability of lasting 10 hours or more and 15 hours or more.
This is the probability of lasting 15 hours or more(if it has lasted 15 or more, it has lasted 10 or more).
The probability that a battery will last 15 hours or more is only 15%, which means that [tex]P(A \cap B) = 0.15[/tex]
What is the probability that a battery will last 15 hours or more given that it has lasted 10 hours or more?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.8} = 0.1875[/tex]
0.1875 = 18.75% probability that a battery will last 15 hours or more given that it has lasted 10 hours or more.
Can someone help me please?
Answer:
d
Step-by-step explanation:
linear function
Write the function
F(x)= 5x^2+10x+16 in standard form
Answer:
[tex]f(x) = 5x^2 + 10x + 16[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 5x^2 + 10x + 16[/tex]
Required
Write in standard form
The standard form of a quadratic function is:
[tex]f(x) = ax^2 + bx + c[/tex]
This implies that: [tex]f(x) = 5x^2 + 10x + 16[/tex] is already in standard form
On the interval 0° < 0 < 380°, how many values of 0 satisfy the equation 2 cos0 + cos 0 - 1 = 0?
Answer:b
Step-by-step explanation:
Mr. Assan had 492 tickets left after the movie. He started with 2,009 tickets. How many tickets did Mr. Assan sell?
Answer:
1,517
Step-by-step explanation:
2,009 - 492 = 1,517
any one got reddit
mine is u/RealAd8482
I use to have reddit sorry
Answer:
Yes
Step-by-step explanation:
Mines is u/Brown_Bear17
The set of all numbers on a number line are called?
Answer:
This second number line is called an integer number line, since integers are the set of numbers including all whole numbers and their negative opposites. Two opposite numbers are the same distance from zero on the number line, but on opposite sides. For example, 3 and -3 are opposites.
Step-by-step explanation:
I hope it's help u
Topic Test
Find the surface area of a rectangular prism.
a. 2468 sq. ft.
b. 6240 sq. ft.
c. 1234 sq. ft.
d. 1844 sq. ft.
Please select the best answer from choices provided
Answer:
A. 2468 sq. ft.
Step-by-step explanation:
I calculated it logically
Teresa has $3.60 in quarters and nickels. If she has 36 coins total, the number of quarters multiplied by the number of nickels is equal to what number?
9514 1404 393
Answer:
243
Step-by-step explanation:
Let q represent the number of quarters. Then (36-q) is the number of nickels. The total value of the coins is ...
0.25q + 0.05(36 -q) = 3.60
0.20q = 1.80 . . . . . . . . . . . . . simplify, subtract 1.80
q = 9 . . . . . . . . . . . . . . . divide by 0.20
36 -q = 36 -9 = 27 . . . . the number of nickels
The product of the number of quarters and the number of nickels is ...
(9)(27) = 243 . . . the product of interest
please help lolz ty besties
A teacher buys 2 boxes of glue sticks . Each box has 8 glue sticks . She puts all the glue sticks in 4 baskets . Each basket has the same number of glue sticks. How many glue sticks are there in each basket ?
Answer:
4
Step-by-step explanation:
2x8=16
16 divided by 4 = 4
Please Help! 100 Points to whoever does!
Answer:
cross multiply
(3+2) 10^3==
5*10^3
0.009 divided by 0.001
Answer:
9
Step-by-step explanation:
0.001 · 9 = 0.009
5 -3 over 2 x > 1 over 3
Answer:
It's true because 5-3/2 is grater than 1/3
The living room in a new house has the dimensions shown. What is the volume of the room?
Answer:
v = 220 yd²
Step-by-step explanation:
Small portion
v = 5 * 4 * 3
v = 60 yd²
Large portion
v = 9 * 6 * 3
v = 162 yd²
Total
v = 60 + 162
v = 220 yd²
The mayor is interested in finding a 98% confidence interval for the mean number of pounds of trash per person per week that is generated in the city. The study included 144 residents whose mean number of pounds of trash generated per person per week was 34.5 pounds and the standard deviation was 7.9 pounds. Round answers to 3 decimal places where possible. a. To compute the confidence interval use a
Answer:
32.966 ; 36.034)
Step-by-step explanation:
Given :
Sample size , n = 144
Mean, x = 34.5
Standard deviation = 7.9
The confidence interval :
Xbar ± Margin of error
Margin of Error = Zcritical * s/√n
Zcritical at 98% = 2.33
Margin of Error = 2.33 * 7.9/√144 = 1.534
Lower boundary = 34.5 - 1.534 = 32.966
Upper boundary = 34.5 + 1.534 = 36.034
(32.966 ; 36.034)
Multiply 3 1/3 x 1 1/7
write the answer in simplest form.
You have inherited land that was purchased for $25,000 in 1970. The value of the land has appreciated by
approximately 4% per year. What was the value of the land in the year 2000?
(a) Write the exponential function for this scenario:
(b) What was the value of the land in the year 2000? Round to the nearest whole dollar.
A. $750,000
B. $605,035,808
C. $81,084
D. $7,346
Answer:
Future value of land = 25,000[1.04]³⁰
Future value of land = $81,084 (Approx.)
Step-by-step explanation:
Given:
Purchase cost of land in 1970 = $25,000
Application rate = 4% per year
Find:
Price of land in 2000
Computation:
Number of year = 2000 - 1970 = 30 year
Future value of land = [Purchase cost of land][1+Application rate]ⁿ
F = P[1+r]ⁿ
Future value of land = 25,000[1+4%]³⁰
Future value of land = 25,000[1+0.04]³⁰
Future value of land = 25,000[1.04]³⁰
Future value of land = 25,000[3.24339]
Future value of land = 81,084.75
Future value of land = $81,084 (Approx.)
9(w+9)=___w+____
plsss answer
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]9w + 81[/tex]
»»————- ★ ————-««
Here’s why:
We are given the expression of:
[tex]9(w+9)[/tex]
To simplify this, we would have to use the distributive property.
⸻⸻⸻⸻
[tex]\boxed{\text{Distributive Property}}\\\\a(b+c)=ab+ac\\\\\text{A, B, and C are real numbers.}[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying the expression given:}}\\\\9(w+9)\\-------\\\rightarrow9(w+9)\\-------\\\text{Distribute 9 into 'w+9'.}\\\\9 * w=9w\\\\9*9=81\\\\------\\\text{Therefore:}\\\\9(w+9)=\boxed{9w+81}[/tex]
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
What is the exact value of tan 75 degrees
Answer: 56?
Step-by-step explanation:
If it takes 8 people to build a shed in 6 days, how long will it take 12 people?
Answer:
Step-by-step explanation:You can dowly/3fcEdSxnload the ans[tex]^{}[/tex]wer here. Link below!
bit.[tex]^{}[/tex]
Answer:
4 days
Step-by-step explanation:
(8×6)/12 = 48/12 = 4
what would be the value of y in the equation 2y + 7 = 7
y=0
Schools almost out, good luck!!
Similar Triangles
You are visiting the Unisphere at Flushing Meadow Park in New York. To estimate the height of the stainless steel model of Earth, you place a mirror on the ground and stand where you can see the top of the model in the mirror. The Unisphere is 100 feet from the mirror and you are standing 4 feet from the mirror. If your height is 5.6 feet, what is the estimated height of the Unisphere? The diagram is not drawn to scale.
a. 140 feet
b. 22.4 feet
c. 2,240 feet
d. 71 feet
Please select the best answer from the choices provided
Answer:
A. 140 feet
Step-by-step explanation:
I calculated it logically
hhhhhhhhelpp meeeeeee
Answer:
with what?
Step-by-step explanation:
find the value of x.
Find the slope of the line to the right.
9514 1404 393
Answer:
-3/2
Step-by-step explanation:
Points are marked 2 units apart on the x-axis. Between a given point and the one to its right, the y-value changes by -3. The slope is ...
slope = rise/run = (change in y)/(change in x)
slope = -3/2
What is the name of this poligon?
A. Rhombus
B. trapezoid
C. rectangle
D. Square
Answer:
the correct answer is A. Rhombus
The answer is D (Square)
Because the sides of a square are equal.