Answer:
3 dogs and 5 cats were adopted out on Christmas eve.
Step-by-step explanation:
Let the number of dogs adopted out on Christmas eve be x and the number of cats be y.
From the question,
On Christmas Eve, the animal adopted out 8 total animals
That is, x + y = 8 ...... (1)
and brought in $400 in total adoption fees.
Also from the question,
Each dog adoption fee was $75 and each cat adoption fee was $35.
∴ On Christmas Eve,
75x + 35y = 400 ...... (2)
Now, to determine how many dogs and how many cats were adopted out on Christmas Eve, we will solve the two equations simultaneously.
From equation (1)
x + y = 8
Make x the subject of the relation.
∴ x = 8 - y ...... (3)
Substitute the value of x into equation (2)
75(8 - y) + 35y = 400
600 - 75y + 35y = 400
600 -40y = 400
600 - 400 = 40y
200 = 40y
∴ 40y = 200
y = 200/40
y = 5
Substitute the value of y into equation (3)
x = 8 - y
x = 8 - 5
x = 3
∴ x = 3 and y = 5
Hence, 3 dogs and 5 cats were adopted out on Christmas eve.
please help me!!!!!!!!!!!!!
Identify any constraints on the domain
Every day Isabel swims 10 to 20 laps in a 50-meter pool. She tracks the numbers of laps she swims and how long it takes her to complete the laps, in minutes
Choose the correct answer below.
OA. The domain consists of all integers greater than or equal to 10 and less than or equal to 20
OB. The domain consists of all integers less than or equal to 20
OC The domain consists of all integers greater than or equal to 0
OD. The domain consists of all integers greater than or equal to 0 and less than or equal to 20
O E. The domain consists of all integers greater than 0 and less than or equal to 20
Answer:
Step-by-step explanation:
A vertical asymptote represents a value at which a rational function is undefined, so that value is not in the domain of the function. A reciprocal function cannot have values in its domain that cause the denominator to equal zero. In general, to find the domain of a rational function, we need to determine which inputs would cause division by zero.
Answer questions one through six, show your work.
Answer:
1) 36, 2) 14, 3) 19, 4) 18, 5) 3, 6) 117
Step-by-step explanation:
1) 6(7) - 3(2) 2) (7)(4)/2 3) (7) + |2(7) - (2)| 4) 6(5) - 4(3) 5) [(4) + (5)]/3
42 - 6 28/2 7 + |14 - 2| 30 - 12 9/3
36 14 7 + 12 18 3
19
6) (4) + [(5)^3 + (3)] - 15
4 + (125 + 3) - 15
4 + 128 - 15
132 - 15
117
Point C is located at (1, 2), and point D is located at (-4,-2). Find the point that is the distance from point C
to point D. (1 point)
a. (-0.25, 1)
b. (-1.5,0)
c. (-0.5, 1.5)
d. (0.25, 2.25)
Answer:
The answer would be c
Step-by-step explanation:
i choosed c because u have da negative sign in front of 4 and 2 and positive numbers with 1 and 2
Answer:
b
Step-by-step explanation:
I think this means to find the mid-point(?) of the line which by doing that you take both x-values and you add them and then divide by two, and then you take both y-values and add them and then divide by two. So you have: (1+-4)=-3, (-3/2)=-1.5
-1.5=x
(2+-2)=0, (0/2)=0
0=y
(-1.5, 0)
A prop for a school play is a sphere that will be hung from the ceiling. The surface area of the sphere is 5 024 cm'. If the surface area of the sphere can be found by using the formula SA = 4πr^2. where r is the radius, what is the radius of the sphere, to the nearest cm?
Answer:
The radius of the sphere, to the nearest cm:
[tex]r\approx 20[/tex] cm
Step-by-step explanation:
The surface area of a sphere is given by the formula
A = 4πr²
where r is the radius of the sphere.
Given
The surface area of sphere A = 5024 cm²The radius of the sphere can be determined such as
[tex]A\:=\:4\pi r^2[/tex]
[tex]r\:=\:\frac{1}{2}\sqrt{\frac{A}{\pi }}[/tex]
Plug in Surface Area of sphere = 5024, π = 3.14 in the formula
[tex]\:r\:=\:\frac{1}{2}\sqrt{\frac{5024}{3.14}}\:\:[/tex]
[tex]r\approx 20[/tex] cm
Therefore, the radius of the sphere, to the nearest cm:
[tex]r\approx 20[/tex] cm
Beau buys a 3 pound bag for a hike. He wants to make 4 ounce bags for his friend going with him. How many 4 ounce bags can he make?
Answer:
12 bags
Step-by-step explanation:
3 pounds = 48 ounces
48 ÷ 4 = 12
Answer:
12 bags
Step-by-step explanation:
What is the slope of this line?
y= -5/3x + 5
Answer:
-5/3
Step-by-step explanation:
Answer:
-5/3
Step-by-step explanation:
y=mx+b
m is the slope
so its -5/3
Hope this helps plz hit the crown :D
the table represents the points on the graph of a linear function. Which of the following equations best represents the data in the table?
9514 1404 393
Answer:
f(x) = 3x +5
Step-by-step explanation:
The x-values change by 1 from the first line to the second.
The y-values change by -13-(-16) = 3 from the first line to the second.
Then the "rate of change" is ∆y/∆x = 3/1 = 3. This will be the coefficient of x in the equation. The last choice is appropriate:
f(x) = 3x + 5
A three-and-a-half foot stick is cut into two pieces. One piece is
1.65 ft long. How long is the other piece?
Answer:
1.4
Step-by-step explanation:
3.05 is the length of the stick and 1.65 is one part if the stick si we subtract 1.65 from 3.05 to find the length of the other piece
The perimeter of a rectangular classroom is 52 feet. If the length is 10 more feet than the width, what is the length?
Answer: 18 by8
Step-by-step explanation:
-2x -3=9 solve and explain
Answer:
-6
Step-by-step explanation:
-2x - 3 = 9
+ 3 +3
-2x = 12
/ -2 / -2
x = -6
I need the measure of angle 1
Answer:
Angle 1 is 69°
Step-by-step explanation:
9x + 66 = -9x + 156
9x + 9x = 156 - 66
18x = 90
18x/18 = 90/18
x = 5
-9x + 156
-9(5) + 156
-45 + 156
111
180 - 111 = 69.
Louisa has a goal of collecting 100 pounds of dog food for a local shelter. She records how many pounds of food she collects each week. Week Pounds Collected 1 20.5 2 18 and three-fourths 3 32.75 How many more pounds of dog food does Louisa need to reach her goal? 18 27 28 72
Given:
Louisa has a goal of collecting 100 pounds of dog food for a local shelter.
The table of values which represents the number of pounds of food she collects each week.
To find:
The number of more pounds of dog food Louisa need to reach her goal.
Solution:
For first week = 20.5 pounds
For second week = [tex]18\dfrac{3}{4}=18.75[/tex]
For third week = 32.75
Now,
[tex]\text{Remaining pounds of dog food Louisa needs}=100-(20.5+18.75+32.75)[/tex]
[tex]\text{Remaining pounds of dog food Louisa needs}=100-72[/tex]
[tex]\text{Remaining pounds of dog food Louisa needs}=28\text{ Pounds}[/tex]
Therefore, the correct option is C.
What is an area model of 15 times 11
Answer:
165
Step-by-step explanation:
you need to x it
Is 72,681 is rounded to the nearest thousands
Answer:
70,000
Step-by-step explanation:
Answer:
The correct answer is 73,000.
Step-by-step explanation:
This is because, we know that the number 7 or 70,000 represents the ten-thousands in this number. Therefore, the number 2 or 2,000 represents the thousands place, which is what we are trying to round.
In order to do so, we have to look at the number behind it, which, in this case, is 6.
Rule: If the number is 4 or less, the number before it stays the same. If the number is 5 or more, the number before it goes up 1.
Since 6 is larger than 5, the 2 will become a 3, while the other numbers become 0s.
Therefore, the correct answer is 73,000.
Hope this helps! :)
if dan was 4 years old 18 years ago, how old will he be 16 years from now?
Answer:
4+18 = 22 thats now in 16 years would be 38 years old
Step-by-step explanation:
Find factors of following polynomial
A) 7 + 4 + 56 + 32 B) + 9 + 8 + 72
C) (42− 12 + 9 2− 92 )
plz answer properly
I will mark the person brainliest who answers properly
Step-by-step explanation:
the cotrect one is C
❤❤❤❤
PLZZZ HELPPP I WILL GIVE YOU BRAINLESS ‼️‼️
Which gives the correct values for points A, B, C, and D?
A number line going from negative 2 to negative 1. There are 5 equal spaces between the numbers.
A = negative 1 and one-fifths, B = negative 1 and two-fifths, C = negative 1 and three-fifths, D = negative 1 and four-fifths
A = negative 1 and one-fifths, B = negative 1 and four-fifths, C = negative 1 and three-fifths, D = negative 1 and two-fifths
A = negative 1 and four-fifths, B = negative 1 and three-fifths, C = negative 1 and two-fifths, D = negative 1 and one-fifth
A = negative 1 and four-fifths, B = negative 1 and one-fifth, C = negative 1 and three-fifths, D = negative 1 and two-fifths
Answer:
the thrid one
Step-by-step explanation:
bc its all correct like i went over all of it and its correct glad to help bro!!!!!
Answer:
c
Step-by-step explanation:
I need help..........
Answer:
Step-by-step explanation:
lol
you need help...
XD
halp plz my mommy sayd that i neda awnsur this to pas my test!!!!!! i wil brainlist!!!! :))
John has 4 apples, he gives 2 to Karen. How many apples will John have if he give 2 more apples to Becky?
thx for haplin me!! :)
Question:
Each week, Tasha saves 80% of the money she earns babysitting and spends the rest. This week she earned $80.00.
How much more money did she save than spend this week?
Answer:
none. i better be right or else im jumping off my roof
A rectangular prism is 4 meters long, 5 meters wide, and has a height of 7 meters. What is its volume?
166 m 3
70 m 3
84 m 3
140 m 3
Answer:
The volume of a rectangular prism = V = 140 m³
Step-by-step explanation:
Given:
Length l = 4 mWidth w = 5 mHeight h = 7 mTo Determine:
The volume of rectangular prism = VUsing the formula to determine the volume of the prism
V = l × w × h
V = 4 × 5 × 7
V = 140 m³
Therefore, the volume of a rectangular prism = V = 140 m³
question 15: Given l∥m, find the value of x.
Answer:
x=8
Step-by-step explanation:
the addition of all the angles must equal 360(the 4 angles on the intersection) degrees
125+125=250
360-250=110
110/2=55
7*8-1=55
Josh worked 30 hours last week and earned $8.50 per hour. If $32.50 was withheld from his paycheck, what was Josh's net pay?
Answer:
$222.50
Step-by-step explanation:
Hours Josh worked last week = 30
Money earned per hour = $8.50
Money withheld = $32.50
Josh's net pay = (30 x 8.50) - 32.50
= 255 - 32.50
= $222.50
Pls mark as brainliest <3
Scott's Montly income is $3,500. Scott spends 12% of his monthly income on groceries.
a. calculate the amount Scott spends each month on groceries
b. Scott spends $250 each month on his car. What percent of his monthly income does scott spend on his monthly car payment? (round to the nearest whole percent)
help plss
Answer: i don’t know this anwser but pls give me points I’m sure another person will give u something
Step-by-step explanation:
Determine whether the relation is a function.
Which is the graph of f(x) = |x| +3?
aquelyn’s earning m are a function of the number of lawns n she mows at a rate of $12 per lawn
Answer:
m = 12n
Step-by-step explanation:
M is the amount that she would earn at the end of the day. She charges 12 dollars per lawn and then you multiply that by n which is going to be how many lawns she mowed.
d. If the speed of a body is increased four times, how will its kinetic energy be affected?
Show by calculation.
e. By how many times will the kinetic energy of a body increase if its speed is tripled?
Show by calculation.
f. What change should be expected in the velocity of a body to maintain the same
kinetic energy, if its mass is increased sixteen times? How?
Is in less time than B. who has more power
Answer:
E
Step-by-step explanation:
Yo can somebody help me with this question
Answer:
[tex]\huge\boxed{x=9}[/tex]
Step-by-step explanation:
[tex]\angle A\cong\angle B\qquad\text{therefore}\qquad AC\cong BC\Rightarrow|AC|=|BC|\\\\\text{We have}\ |AC|=20;\ BC=3x-7.\\\\\text{Therefore}\\\\3x-7=20\qquad|\text{add 7 to both sides}\3x-7+7=20+7\\\\3x=27\qquad|\text{divide both sides by 3}\\\\\dfrac{3x}{3}=\dfrac{27}{3}\\\\x=9[/tex]
I need the measure of 6
Answer:
angle 6 is 63
They are alternate to each other
Step-by-step explanation:
Here, we want to get the measure of angle 6 from the diagram
From the diagram,
angle 6 is also 63
The reason for this is because the two angle measures are alternate angles and alternate angles are congruent