Answer:
(4, 5)
Step-by-step explanation:
The science club went on a two day field trip. The first day the members paid $30 for transportation plus $20 per ticket to the planetarium. The second day they paid $95 for transportation +17 per ticket to the Geology museum. Write an expression to represent the total cost and dollars for two days for the N members of the club
Answer:
T=125+37NStep-by-step explanation:
let the number of members in the club be N
The first day the members paid
$30 for transportation plus $20 per ticket to the planetarium.
cost= 30+20N
The second day the members paid
$95 for transportation plus $17 per ticket to theGeology museum.
cost= 95+17N
total cost is
T= 30+20N+ 95+17N
T=30+95+20N+17N
T=125+37N
An expression to represent the total cost and dollars for two days for the N members of the club is
T=125+37N
The water level, w, in feet, of a river after a rainstorm is a function of the time, t,
,
in hours, since the storm began. The table below shows the water level readings collected at different times
Choose the linear function that models the data in the table.
The water level in the river is an illustration of a linear function
The linear function that models the data in the table is [tex]w = 0.8t + 17.9[/tex]
How to determine the equation of the water level?From the complete question, we have the following table:
t w
1 18.7
1.5 19.1
Start by calculating the slope (m)
[tex]m = \frac{w_2 - w_1}{t_2 -t_1}[/tex]
This gives
[tex]m = \frac{19.1 - 18.7}{1.5 - 1}[/tex]
Evaluate
[tex]m = 0.8[/tex]
The equation is then calculated as:
[tex]w = m(t - t_1) + w_1[/tex]
So, we have:
[tex]w = 0.8(t - 1) +18.7[/tex]
Expand
[tex]w = 0.8t - 0.8 +18.7[/tex]
[tex]w = 0.8t + 17.9[/tex]
Hence, the linear function that models the data in the table is [tex]w = 0.8t + 17.9[/tex]
Read more about linear functions at:
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Julia has 1.61 pounds of cat food. She uses 0.23 pound of cat food to feed one cat. How many cats can Julia feed with the cat food she has?
Answer:
7 cats
Step-by-step explanation:
if each cat needs 0.23 pounds of food, then she can feed 1.61/0.23 = 7 cats
Carmen deposits $4000 into a simple interest account. The interest rate for the account is 4.25%.
Write a function that represents the balance in the account as a function of time t.
answer : f(t) = 4000 + 170t
f(t) = principal + (principal multiplied by interest rate) multiplied by time
f(t) = 4000 + (4000*.0425)t
f(t) = 4000 + 170t
t = number of years
======================================================
Explanation:
We use the simple interest formula which is
i = P*r*t
where in this case,
P = 4000 = amount deposited aka principalr = 0.0425 = decimal form of the 4.25% annual interest ratet = unknown number of yearsWe then get the following
i = P*r*t
i = 4000*0.0425*t
i = 170t
Showing that the amount of simple interest earned is 170 times that of the number of years.
For instance, if Carmen waits t = 10 years, then she earns i = 170*t = 170*10 = 1700 dollars in interest alone.
The expression 170t is the interest only. Add on the original amount deposited to find the total account balance after t years. Therefore, we arrive at 170t+4000 to get the linear function f(t) = 170t+4000
The 170 acts like the slope while the 4000 is the y intercept.
If a town has 64 voters and 5/8 of them choose to vote in an election, how many voters choose
not to vote in the election?
A 32 voters
B 24 voters
C 40 voters
D 28 voters
Answer:
40 voters
Step-by-step explanation:
64/8=8
8×5=40
Answer:
24
Step-by-step explanation:
5/8 of 64 = 40
64 - 40 =24
Which expression is equivalent to the expression below? startfraction 6 c squared 3 c over negative 4 c 2 endfraction divided by startfraction 2 c 1 over 4 c minus 2 endfraction startfraction 3 c (2 c minus 1) over 2 c 1 endfraction startfraction negative 3 c (2 c 1) squared over 4 (2 c minus 1) squared endfraction 3c –3c
The expression that is equivalent to the expression [(6c² + 3c)/(-4c + 2)] ÷ [(2c + 1)/(4c - 2)] is; -3c
What is a simplification of fractions?Simplification of fractions is the process of reducing fractions that involves making the fraction as simple as feasible.
We achieve this by dividing the numerator and denominator by the greatest integer that divides perfectly into both numbers.
The given expression is;
[tex]\frac{[(6c^2 + 3c)(-4c + 2)] }{[(2c + 1)/(4c - 2)]}[/tex]
On Simplifying the fraction equation by factorization we obtained ;
[tex]\frac{[3c(2c + 1)/(-2(2c - 1))]}{[(2c + 1)/(2(2c - 1)]}[/tex]
[tex]\frac{[3c(2c + 1) }{(-2(2c - 1))] \times [(2(2c - 1)/(2c + 1)]}[/tex]
[tex]-3c[/tex]
Hence he expression that is equivalent to the expression [(6c² + 3c)/(-4c + 2)] ÷ [(2c + 1)/(4c - 2)] is; -3c
To learn more about the simplification of fractions refer to the link;
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what is the circumference of a circle with a radius of 5 units
Answer:
C ≈ 31.4 units
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = 2πr ( r is the radius ) , then
C = 2π × 5 = 10π ≈ 31.4 units ( to the nearest tenth )
NEED HELP NOW WITH MATH!!!! points 10
Answer:
D
Step-by-step explanation:
I tried the last one and it did not work so maybe D
what is the slope of the line that passes through the point of (5,6),(5,9)?In simplest form.
Answer:3/0=undefined
Step-by-step explanation:(5/6) and (5,9)
Slope: 9-6 = 3
5-5 = 0
Hey can someone help me.
Thanks!
I need to now how many grams of protein are in 1 cup of cereal.?
Answer:
There are 11 grams of protein in one cup of cereal.
Step-by-step explanation:
Determine whether the polygons are similar:
A triangle with side lengths 3 cm, 4 cm, and 5 cm, and a triangle with side lengths 18 cm, 19 cm, and 20 cm
Answer:
the polygons are similar
I need help with this
Here, we are given with ;
[tex]{:\implies \quad \sf (3x^{2}-7x)-(4x^{2}+6x)}[/tex]
Opening parentheses will yield;
[tex]{:\implies \quad \sf 3x^{2}-7x-4x^{2}-6x}[/tex]
Collecting like terms ;
[tex]{:\implies \quad \sf (3x^{2}-4x^{2})+(-7x-6x)}[/tex]
[tex]{:\implies \quad \sf -x^{2}-13x}[/tex]
Hence, the required answer is - x² - 13x
Answer:
[tex](3 {x}^{2} - 7x) - (4 {x}^{2} + 6x) \\ \longrightarrow \: \: 3 {x}^{2} - 7x - 4 {x}^{2} - 6x \\ \longrightarrow \: \: {3x}^{2} - {4x}^{2} - 7x - 6x \\ \longrightarrow \: \: - {x}^{2} - 13x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
If c is a number with no exponent, what is the value of c in the equation below?
4^7/4^3 = a^b=c
Answer:
c = 256
Step-by-step explanation:
Good Luck :)
11) Arjun was planning a trip to China.
Before going, he did some research and
learned that the exchange rate is 8 Yuan to
$1. How many Yuan would he get if he
exchanged $2?
Help
Answer:
16yuan
Step-by-step explanation:
1$=8Y
so,2$=2x8Y
or 2$=16Y
A. A bicycle shop advertised all mountain bikes priced
at a 1/3 discount.
How much is the bicycle discounted by if it
originally costs $327?
B. What is the price of the bicycle after the discount?
C. Explain how you found your solution to part b.
Answer:
I'm sorry i do not know but can you please press thanks it would really help me sorry i didn't know but u cant type your question in g00gle and 9 x out of 10 you will get the right 1
Step-by-step explanation:
sorry again im not that smart
A hummingbird’s egg weigh 0.013 ounce. Express this as a fraction in simplest form.
Answer:
13/1000
Step-by-step explanation
13/1000 is its simplest form.
Need help please !!!!!!!!
what 12x12x34x5÷2 equal? 26 points and first one will get brainliest
Answer:
it should be 12240 !
Step-by-step explanation:
sorry if this is wrong, but im fairly certain its right :]
someone help, the question is on the attachment.
I gotta stop using this websites( i need help)
Answer:
V:100.8
SA:111
Step-by-step explanation:
Eden has a part time job. She gets paid £7. 20 per hourthis week she worked for 18 1/2 hourswork out Eden's total pay for this week
Answer:
$133.20
Step-by-step explanation:
Since the amount of hours she worked isn't a whole number, we can first separate 18 and 1/2 and work the problem out one at a time.
1. Multiply 7.20 by 18 to get 129.60
2. Multiply 0.50 by 7.20 to get 3.60.
3. Add 129.60 and 3.60 together to get the answer, 133.20.
answer fast, please im in maths rn
Answer:
[tex]\sf x = 7.8[/tex]
explanation:
[tex]\sf a^2 + b^2 = c^2[/tex]
[tex]\hookrightarrow \sf 9.5^2 + x^2 = 12.3^2[/tex]
[tex]\hookrightarrow \sf x^2 = 12.3^2 - 9.5^2[/tex]
[tex]\sf \hookrightarrow x^2 = 151.29 - 90.25[/tex]
[tex]\hookrightarrow \sf x^2 = 61.04[/tex]
[tex]\hookrightarrow \sf x = \sqrt{61.04}[/tex]
[tex]\hookrightarrow \sf x = 7.8[/tex]
Evaluate n2-m; use m=7, and n=8
Answer:
9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
(8)*2-7
16-7
9
Make sure to follow PEMDAS!
What is the value of p?
Answer
32
(6p-10)
Answer:
p = 7
Step-by-step explanation:
6p - 10 and 32 are vertically opposite angles and are congruent , then
6p - 10 = 32 ( add 10 to both sides )
6p = 42 ( divide both sides by 6 )
p = 7
Mrs. Margarita has a garden shaped like a half-shaped circle with a diameter of 55 m. What's the area of Mrs. Margarita's garden? (Give your answer correct to 2 decimal places)
Answer:
Area of Mrs. Margarita's garden = 1188.39 m²
Step-by-step explanation:
Using the most basic formula to solve this question i.e. Area of circle. We know that: Area of of circle = πr². But in problem we are provided with a half shaped circle. Means we need to use the half of the area of circle or you can say semi-circle.
Area of semi-circle = 1/2 × πr²Now, read the question again. Mrs. Margarita has a garden shaped like a half-shaped circle with a diameter of 55 m. Given diameter is 55 m and we know that radius is half of the diameter. So, radius is 55/2 m. Rest what we need to do is substitute the values and do the rest calculations.
Let's dive in!
Area of Mrs. Magarita's garden = Area of semi-circle or area of half-shaped circle= 1/2 × 22/7 × 55/2 × 55/2
= 11/7 × 55/2 × 55/2
= 33275/28
= 1188.39 m²3 gallons = _______ quarts
A.8
B.16
C.4
D.12
Answer:
D. 12
thats your answer.
have a nice day!
John read the first 114 pages of a novel, which was 33 pages less than 1/3 of the novel.
Answer:
(p/3)-3=114
114 plus 3 = 117 (one-third of the novel)
117 x 3 = p = 351 (entire novel)
Step-by-step explanation:
(p/3)-3=114
114 plus 3 = 117 (one-third of the novel)
117 x 3 = p = 351 (entire novel)
why is the length of segment BD is the same as the length of segment AB ?
Any point on the outside edge of a circle from the center of a circle would be the radius, which would be the same distance all the way around. The outer edge of the larger circle goes through the dot labeled B, which is the center of the smaller circle, therefore any distance from B to the outer edge would be the same.
The length of segment BD is the same as the length of segment AB because any distance from B to the outer edge would be the same.
What is a circle?A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.
Any point on the outside edge of a circle from the center of a circle will be the radius, which would be the same distance all the way around.
The outer edge of the larger circle goes through the dot labeled B, which means the center of the smaller circle.
Therefore any distance from B to the outer edge would be the same.
Learn more about circle here;
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find the value of x.
A. 1
B. 5
C. 7
D. 8
Answer:
x is equal to 5
Step-by-step explanation:
78 = 12x + 18
12x + 18 = 78
12x = 78 - 18
12x = 60
x = 60/12
x = 5
btw i made 78 equal to 12x + 18 because it is parallel. they both equal the same (i think its called parallel. idrk)
X is equal to 5
78=12x+18
12x=78-18
12x=60
X=60/12
X=5