Hannah charges an hourly babysitting fee of $6 for two children, $7 for three children, and $8 for four or five children.
Which is true about the table when c = the number of children and f = the fee per hour?
c 1 2 3 4 5
f 6 6 7 8 8
The relationship is not linear between c and f.
The relationship is linear between c and f.
The relationship is not linear for c and linear for f.
The relationship is linear for c but not f.
Ali's dog weighs 8 times as much as her cat. Together, the two pets weigh 54 pounds. How much does Ali's dog weigh?
Ali's dog weighs 48 pounds.
We have,
Let's assume the weight of Ali's cat is represented by the variable "x".
According to the given information,
Ali's dog weighs 8 times as much as her cat.
Therefore, the weight of Ali's dog can be expressed as 8x.
We are also given that together the two pets weigh 54 pounds.
So we can set up an equation:
x + 8x = 54
Combining like terms:
9x = 54
To find the value of x, we divide both sides of the equation by 9:
9x/9 = 54/9
Simplifying:
x = 6
Therefore, Ali's cat weighs 6 pounds.
To find the weight of Ali's dog, we can substitute the value of x back into the expression for the weight of the dog:
Weight of the dog = 8x = 8 * 6 = 48 pounds
Thus,
Ali's dog weighs 48 pounds.
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What is expanded form for 50,631
A golf-course architect has six linden trees, four white birch trees, and three bald cypress trees to plant in a row along a fairway. in how many ways can the landscaper plant the trees in a row, assuming that the trees are evenly spaced? the trees can be planted in nothing different ways.
Answer:
the trees can be planted 4200 ways
Step-by-step explanation:
The landscaper can plant the trees in a row in 864 different ways.
Explanation:To find the number of ways the landscaper can plant the trees, we can use the concept of permutations. Since the trees are evenly spaced, the order in which they are planted matters. We have a total of 6+linden+trees, 4 white birch trees, and 3 bald cypress trees. To calculate the number of ways to arrange them in a row, we can multiply the number of available options at each position. So, the number of ways to plant the trees in a row is 6! * 4! * 3! = 864. Therefore, there are 864 different ways the landscaper can plant the trees in a row.
How many triangles exist with 80 degrees, 50 degrees, and 50 degrees?
James and his friends both started a part-time job at the swimming hole earning $8 per hour . James worked 10/1-2 hours his first week James agreed to pay his friend 1/10 of his salary for reimbursement of gas. How many money did James pay his friend for gas
Given
James and his friend earn $8 per hour.
James works 10/1-2 hours his first week.
And James agreed to pay his friend 1/10 of his salary
10.5*8=84 1/10 or 10% of $84=$8.40.
How do you change annual earnings to hours?
primarily based on this, the common salaried individual works 2,080 (forty x fifty-two) hours every 12 months. To decide your hourly salary, divide your annual revenue by 2,080. in case you make $75,000 a year, your hourly wage is $ seventy-five,000/2080, or $36.06. if you work 37.5 hours a week, divide your annual earnings by way of 1,950 (37. five x fifty-two).
How can I calculate my salary?To calculate annual earnings, begin by using figuring out how many hours you figure in every week. in case you paint different hours every week, use the common number of hours you work. subsequent, multiply your hourly revenue with the aid of the range of hours you work per week. eventually, multiply that wide variety via 52 to find your annual earnings.
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Which represents the first three terms of the sequence: a1 = 2 and an = 4(an-1)2? 2, 16, 1024
4, 16, 1024
2, 16, 32
4, 16, 32
Find the perimeter of a triangle with sides 11 inches, 5 inches, and 13 inches. Show your work.
find the rectangular coordinates of the point (-4, pi/3)
Answer:
[tex]\texttt{The rectangular coordinates of the point (-4, pi/3)}=(-2,-2\sqrt{3})[/tex]
Step-by-step explanation:
Conversion of parametric form of ( r , θ ) to rectangular coordinate can be done by using the formula ( rcosθ , rsinθ ).
Here we need to convert (-4, pi/3) in to rectangular coordinate form.
Which can be converted to rectangular coordinate form as
[tex]\left ( -4cos\left ( \frac{\pi}{3} \right),-4sin\left ( \frac{\pi}{3} \right)\right )=\left ( -4\times \left ( \frac{1}{2} \right),-4\times \left ( \frac{\sqrt{3}}{2} \right)\right )=(-2,-2\sqrt{3})[/tex]
[tex]\texttt{The rectangular coordinates of the point (-4, pi/3)}=(-2,-2\sqrt{3})[/tex]
The rectangular coordinates of the point (-4, pi/3) is:
(-4, pi/3)= (-2, -2[tex]\sqrt{3}[/tex])What is a Coordinate?This refers to the system which is used to find out the position of points in a geometric element.
First of all, we have to convert to parametric form
( r , θ ) to rectangular coordinate with the use of the formula ( rcosθ , rsinθ ).Next, we have to convert (-4, pi/3) in to rectangular coordinate form.
(-4 x (1/2), -4 x ([tex]\sqrt{3}[/tex]/2)) = n(-2, -2 [tex]\sqrt{3}[/tex])
After the conversion,
This would bring the rectangular coordinate form to:
(-4, pi/3)= (-2, -2[tex]\sqrt{3}[/tex])Read more about rectangular coordinates here:
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six turns of a wire are wrapped around a pipe with a length of 24 inches in length and a circumference of 4 inches. What is the length of the wire?
factor the polynomial completely using x method x2+16x+48
Answer:
Its C. x2 + 12x + 4x + 48
on edg
why did the catholic church feel threatened by the heliocentric theory of the universe
Catholic Church felt threatened by the heliocentric theory of the Universe as Church as church felt that it will reduce its authority over the commons. Authority of the Church was at its highest peak during the era and these inventions were challenging its teaching and beliefs.
Further Explanations:
Chronicles of the Catholic Church began with Christ and his pedagogy, while its continuation of the Christian community was established by disciple of Jesus. It was considered that Bishops were successors to Jesus apostles and the Church leaders are its successor to Saint Peter. They even were practicing the power of regional assembly to resolve the doctrinal and policy issues.
The theory of heliocentric was given by Galileo Galleli for which he was trialed and condemned by the Catholic Church in 1633. His discoveries were opposing the Church as it pronouncedheliocentrism to be precisely heretical. Books on Heliocentrism were banned and Gallelio was even forced to stop his teaching defending Heliocentric theories.
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Answer Details
Grade:High School
Subject: History
Chapter:Catholic Church
Keywords:Catholic Church, Christ, pedagogy, Christian community, Bishops, Saint Peter, Galileo Galleli, Catholic Church, Heliocentrism, doctrinal
the scale on a map is 2 cm=25 miles. Dave measured the distance to the next town at 5cm. Hoiw many miles away is the next town?
Answer:
The next town is 62.5 miles away.
Step-by-step explanation:
Scale problems can be solved by a simple rule of three.
The scale on a map is 2 cm=25 miles
This means that for each 2cm we measure on the map, the real distance is 25 miles.
Dave measured the distance to the next town at 5cm. Hoiw many miles away is the next town?
How many miles are 5 cm. So
2cm - 25 miles
5cm - x miles
[tex]2x = 25*5[/tex]
[tex]x = 62.5[/tex]
The next town is 62.5 miles away.
Brainleiest What is the unit rate for 692.08 ft in 21.1 s? Enter your answer, as a decimal, in the box. ft/s
Answer:
Unit rate is [tex]32.9561[/tex] feet per second.
Step-by-step explanation:
Unit rate is a number where one quantity is represented so that the other quantity is 1.
So we can give the unit rate of this as number of feet per 1 second.
It has traveled 692.08 ft in 21.1 seconds.
We have to find how many feet it travels in 1 second.
Unit rate = Number of feet / Number of seconds
=[tex]\frac{692.08feet}{21.1seconds}[/tex]
=[tex]32.9561[/tex] feet per second
Answer: 32.8
Step-by-step explanation: ( I'd use my answer if I was you) :)
What is the product of 4.5 ⋅ 105 and 1.6 ⋅ 102?
find the solution of the system of equations.
-7x-6y=59
-8x-6y=58
Given points K'(1, -2) and L'(1, -4), what are the coordinates of the point J' that produces a triangle J'K'L' congruent to JKL resulting from a rotation of 90 degrees clockwise around the point (1, -6)?
what is 5/6 - (2/3) = ?
Solve this expression 5(4x-13).
In ΔABC, BC = 4 centimeters, m∠B = m∠C, and m∠A = 20°. What is AC to two decimal places?
A.9.32 centimeters
B.10.01 centimeters
C.11.52 centimeters
D.12.09 centimeters
Answer:
C.11.52 centimeters
Step-by-step explanation:
Given,
In triangle ABC,
BC = 4 centimeters, m∠B = m∠C, and m∠A = 20°.
Since, the sum of all interior angles of a triangle is supplementary,
⇒ m∠A + m∠B + m∠C = 180°
⇒ 20° + m∠B + m∠B= 180°
⇒ 2 m∠B = 160°
⇒ m∠B = 80°,
Now, By the law of sines,
[tex]\frac{sin A}{BC}=\frac{sin B}{AC}[/tex]
By cross multiplication,
[tex]sin A\times AC = sin B\times BC[/tex]
[tex]\implies AC = \frac{sin B\times BC}{sin A}[/tex]
By substituting values,
[tex]AC=\frac{sin 80^{\circ}\times 4}{sin 20^{\circ}}=\frac{3.93923101205
}{0.34202014332
}=11.5175409663
\approx 11.52\text{ in}[/tex]
Two students, Jennifer and Jamal, factored the trinomial 6x2 − 3x − 9. Jamal factored it as 3(2x − 3)(x + 1) and Jennifer factored it as (2x − 3)(3x + 3). Indicate which student factored the trinomial completely and which student did not, and explain why. (10 points)
One month,ruby worked 6 hours more than Isaac, and Svetlana worked 4 times as many hours as ruby. Together they worked 138 hours find the number of hours each person worked
a shop has one-pound bags of peanuts for $2 and three-pound bags of peanuts for $5.50 if you buy 5 bags and spend $17 how many of each size bag did you buy
3 one-pound bags;2 three-pound bags
Answer
Find out the how many of each size bag did you buy .
To proof
Let us assume that the one-pound bags = x
Let us assume that the three-pound bags = y
As given
if you buy 5 bags
than the equation becomes
x + y = 5
As given
a shop has one-pound bags of peanuts for $2 and three-pound bags of peanuts for $5.50
if you buy 5 bags and spend $17
than the equation becomes
2x + 5.50y = 17
2x + 5.50y = 17
than the two equation are
2x + 5.50y = 17 and x + y = 5
mulitply x + y = 5 by 2 and subtracted from 2x + 5.50y = 17
2x - 2x + 5.50 y - 2y = 17 - 10
3.5y = 7
[tex]y = \frac{7}{3.5}[/tex]
y = 2
put y = 2 in x + y = 5
x = 5 -2
x = 3
Therefore one-pound bags of peanuts bags are 3 and three-pound bags of peanuts bags are 2 .
Hence proved
Brittany received 8 silver dollars on her eighth birthday. After her next birthday she had 15 and after the next she had 22. After her eleventh birthday she had 29 silver dollars. How many silver dollars will she have after her 16th birthday if her collection increases at the same rate every year?
you have a credit card with a balance of $1256.34 and a 9.5% APR. A late payment fee of $29.00 is added to the principal if you pay after 5/28. You make a payment for $200.00 on 5/28. How much interest did you pay?
Answer:
The interest paid will be $9.946 ≈ $9.95.
Step-by-step explanation:
p = 1256.34
r = [tex]9.5/12/100=0.007917[/tex] (monthly)
Now, given is :
A late payment fee of $29.00 is added to the principal if you pay after 5/28. You make a payment for $200.00 on 5/28.
As the payment is made on the last date, so no extra charge will be paid. So, it is simple interest of [tex]1256.34\times0.007917=9.946[/tex]
Hence, the interest paid will be $9.946 ≈ $9.95.
10 lb____64 oz (equal to, greater than, less than)
Lorenzo bought 15 / 16 pounds of ground beef.He wants to make hamburgers that weigh 3 / 16 pounds each.How many hamburgers can he make?
FIrst of all, i recommends you to do a model. Of 15/16 and 3/16 then compare them and take away the same denominators. What would you get? 15 and 3 so you would divide both of them And you will get 5 as your answer, remember to do an explanation on how you got it. :)
How many orders of magnitude is $1000 than a nickel?
Why will the percent of change always be represented by a positive number
Which of the following ordered pairs represents the solution to the system of equations below?
-3x+2y=2
7x-3y=7
A. (2, 4)
B. (4, 7)
C. (7, 14)
D. (8, 13)