Let the red cat be represented by x.
Let the yellow cat be represented by y.
Let the white cat be represented by z.
Which means :
[tex] \tt (1) \: \frac{4}{5} (20x - 5)[/tex]
[tex]\tt = \frac{4}{5} \times 20x - \frac {4 }{5} \times 5[/tex]
[tex] \tt= \frac{80x}{5} - \frac{20}{5} [/tex]
[tex]\tt = 16x - 14[/tex]
Thus, the first statement is correct.
[tex]\tt(2) \: \frac{3}{5} ( \frac{1}{3} z - 10)[/tex]
[tex]\tt = \frac{3}{5} \times \frac{1}{3} z - \frac{3}{5} \times 10[/tex]
[tex]\tt = \frac{3}{15} z- \frac{30}{5} [/tex]
[tex]\tt = \frac{1}{5} z - 6[/tex]
Thus, the second statement is a lie.
[tex]\tt(3) \: \frac{1}{9} ( - 9y - 27x)[/tex]
[tex] \tt= \frac{1}{9} \times - 9y - \frac{1}{9} \times 27x[/tex]
[tex]\tt = \frac{ - 9}{ \: \: 9} y - \frac{27}{9} x[/tex]
[tex]\tt = (- y) - 3x[/tex]
Thus, the third statement is correct.
Therefore, the second one is a lie.
Answer:
Let the money with Miguel be x.
Then :
Money with Kira = x - 9
Money with Charlie = 4x
Total money in their wallet = $105
This can be written in an equation as :
= \tt \: x + x - 9 + 4x = 105=x+x−9+4x=105
= \tt2x + 4x - 9 = 105=2x+4x−9=105
= \tt 6x - 9 = 105=6x−9=105
= \tt6x = 105 + 9=6x=105+9
= \tt6x = 114=6x=114
= \tt x = \frac{114}{6}=x=
6
114
= \tt x = 19=x=19
Which means :
Money with Miguel = $19
Money with Kira :
= 19 - 9
Thus, Kira has $10 in her wallet.
Money with Charlie :
= 4 × 19
= 76
Thus, Charlie has $76 in his wallet.
Therefore,
Money with Kira = $10
Money with Charlie = $76
Money with Miguel = $19
If you add Jason's age and Shelley's age you get 57. Jason is 7 years older than Shelly. Write a system of equations that can be used to find Jason's age, j, and Shelly's age, s.
Answer:
this is hard i dont understand
Step-by-step explanation:
WILL GIVE BRAINIEST!!!!!! ONLY IF ITS RIGHTTT
Answer:
y = 5
Step-by-step explanation:
Perpendicular means forming a 90 degree angle. In y=5, the line is horizontal and only touches (0,5). When compared to the y-axis, they intersect at 90 degrees so it is y = 5
The options are:
A. tan(<A)
B. length of side adjacent to <A / length of hypotenuse
C. sin(<A)
D. AC/AB
Answer:
I'm probably wrong but I think it's D
how much leters are in 1 milliliter
Answer:
0.001
Step-by-step explanation:
Answer:0.001
Step-by-step explanation:
HELP ASAP
A horse runs 66 miles in three miles?
Answer:
A horse can't run 66 miles in three miles, THE HORSE WOULD BE RUNNING THREE MILES NOT 66 ;-;
Step-by-step explanation:
'
Im sorry you probably made a mistake while writing the question lol
How many terms are in the expression 2a - c + 7d+ 15
Answer:
8c
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
I just want to tell you what a term is because your going to really need it when you go into middle school. So a term is where there is a number or a a number with a variable with it or a variable by itself. For example if there is 4x + 6m + 3 + X you would have 4 terms because you have 4 numbers along with variables and a variable by itself and with some numbers which are Co -Efficient. Co-Efficient is when a number is with a variable the number along with the variable is called a Co-Efficient. Both of them together is called a term so now you know :) The whole equation is called an expression if a a number is by itself like 4 + 3m the 4 would be considered as a constant because its just a normal number standing by itself.
PLEASE HELP ME OUT!!!!!!!
Answer:
2nd one
Step-by-step explanation:
Answer:
5y=45 if y=9
Step-by-step explanation:
5y=45 if y=9
5(9)=45
45=45
3x+3y=9 solve for y
Can the answer be written as y=-x+3 my teacher told me I can write it like that can I though ? Or is the answer y=-x 3 ?
Don buys a car for $22,500. Don gets a loan for 5 years with an interest rate of 3% per year. How much total interest will Don pay over the five years?
Answer:
$3375
Step-by-step explanation:
I=Interest
P=Principal
R=Rate
T=Time
The rule of the simple interest is:
I=PRT
I=22500×0.03×5
I=$3375
Please help I will give a brainliest!!
Answer:
True!!
Step-by-step explanation:
What kind of sequence is this? –165, –180, –195, –210
Answer:
7
Step-by-step explanation:
because if you subtract 180 and 210 do not subtract 18 and 210 because there is an answer for 180
Does the graph represent an linear or nonlinear function
Answer:
This graph is Non linear
A water tank holds 657 gallons but is leaking at a rate of 4 gallons per week. A second water tank holds 876 gallons but is leaking at a rate of 7 gallons per week. After how many weeks will the amount of water in the two tanks be the same?
NEED THIS DONE ASAP!!!!!
Answer:
hola
Step-by-step explanation:
hablas español hablas con la que pidio ayuda y tu hablas español
estimating using graph
Answer:
itś the fifth point up exactly 2.5
Step-by-step explanation:
Anybody know the answer
Answer:
5 (-9x)
Step-by-step explanation:
Product of 5
5 * ()
difference of 9
5 * (-9)
and a number
5 * (-9x)
Answer:
5(9 - x)
Step-by-step explanation:
The product of 2 numbers, is just multiplication
But in this expression, we are multiplying a number by the difference of two other numbers, hence why we should group 9 - x in parentheses.
B
13
А
5
12
С
Find cos(B) in the triangle.
Step-by-step explanation:
[tex] \cos( \beta ) = \frac{5}{13} = 0.385[/tex]
Cos (B) in the right angled triangle is 5/13 .
Given,
Right angled triangle .
Now,
In right angled triangle
Perpendicular = 12
Base = 5
Hypotenuse = 13
So,
According to trigonometric functions,
CosФ = base / hypotenuse
sinФ = perpendicular / hypotenuse
tanФ = perpendicular / base
So,
Substitute the value in the function of cos,
Cos(B) = base / hypotenuse
Cos(B) = 5 / 13
Thus the value of function cos (B) is 5/13 .
Know more about trigonometric functions,
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4.
-4 + 5n = 18 + 3n
a. -12
b. -11
C.
1.5
d. 11
Answer:
d
Step-by-step explanation:
-4+5n=18+3n
step 1 add 4 to each side
5n=22+3n
step 2 subtract each side by 3n
2n=22
step 3 divide each side by 2
n=11
help!! This assignment is due in one hour..
Find a function that describes the arithmetic sequence 16, 17, 18, 19, ... Use y to identify each term in the sequence and n to identify each term's position.
Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree.
Answer:
AB = 4.62 m∠A = 22° m∠B = 68°
Step-by-step explanation:
Tan A = 1.7/4.3 = .39534...
m∠A = arctan .39534... ≅ 22°
m∠B = 90 - 22 = 68°
AB = [tex]\sqrt{1.7^{2} + 4.3^{2} } = \sqrt{2.89 + 18.49} = \sqrt{21.38} = 4.62[/tex]
If Rachel purchased a prepaid phone card for $25. Long distance calls cost 24 cents a minute using the card. Rachel used her card only once to make a long distance call. If the remaining credit on her card is $19.24 how many minutes did the call last?
Answer:
24 minutes
Step-by-step explanation:
25- 19.24= $5.76 used so....
$5.76/ 0.24cents = 24 minutes
Factor the expression using the GCF 7+14
Answer:
We found the factors and prime factorization of 7 and 14. The biggest common factor number is the GCF number. So the greatest common factor 7 and 14 is 7.
Step-by-step explanation:
The value of the Expression 7+ 14 using the GCF is 21.
What is Greatest Common Factor?The largest factor that splits both numbers is said to be the greatest common factor. List the prime factors of each integer before calculating the greatest common factor. One 2 and one 3 are shared by those aged 18 and 24. The GCF of 18 and 24 is 2 * 3 = 6, which we multiply to obtain.
Given:
We have to add 7 + 14
Factorise the terms separately
7 = 7 x 1
14 = 7 x 2
So, the Greatest Common Factor is 7.
Thus, 7+ 14 = 7(1+ 2) = 7 x 3= 21
Learn more about Greatest Common Factor here:
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A small town has two local high schools. High School A currently has 850 students
and is projected to grow by 35 students each year. High School B currently has 700
students and is projected to grow by 60 students each year. Let A represent the
number of students in High School A int years, and let B represent the number of
students in High School B after t years. Write an equation for each situation, in terms
of t, and determine after how many years, t, the number of students in both high
schools would be the same.
Answer:
For High School A, let [tex]S_A(t)[/tex] denote the number of students after [tex]t[/tex] years. Define [tex]S_B(t)[/tex] analogously.
Then [tex]S_A(t) = 850 + 35t[/tex] and [tex]S_B(t) = 700 + 60t[/tex].
After 6 years the number of students in both high schools would be the same.
Step-by-step explanation:
For High School A, let [tex]S_A(t)[/tex] denote the number of students after [tex]t[/tex] years. Define [tex]S_B(t)[/tex] analogously.
Since we start out at 850 students at High School A and it is growing by 35 students every year, we must have that [tex]S_A(t) = 850 + 35t[/tex].
Since we start out at 700 students at High School B and it is growing by 60 students every year, we must have that [tex]S_B(t) = 700 + 60t[/tex].
Setting the two equations equal to each other, we see that [tex]850+35t=700+60t\\850-700=60t-35t\\25t=150\\t=6[/tex]
So after 6 years the number of students in both high schools would be the same.
Can someone like help with this pleasee
Answer:
this is as test
Step-by-step explanation:
Help please!! I don't understand the meaning! Please describe what you did too please!!
what is 5,256 divided by 12
Answer:
438
Step-by-step explanation:
5,256 divided by 12 is 438
Someone plz help me with both I will give brainliest
Answer
3.- *in order* 4,8, 4 aka- 4/40- 1/10
40
5.- *in order* 3/5 x 3/7 = 9/35
Step-by-step explanation:
you have to simplify 4/40 wich is 1/10 and the rest s self explanitory. hope this helped!!
write a story problem that can be represented with the following equation:
2x + 16 = 22
Calculate X, can anyone help please
answer:
40°
step by step:
93°+47° (i think the circle at the bottom says 47)=140°
180° ( as the angles in a triangle must add up too 180°) - 140° = 40°
Which number is an element if the range of the equation y=3x+2 for the domain of (-3, 4, 6)?
A. 7
B. 12
C. 14
D. 18
Step 3: Equations and Inequalities Unit Test
6. Solve for j.
j - 18 = 43
Answer:
j = 61
Step-by-step explanation:
j - 18 = 61
Step One: Add your addend and your total together.
18 + 43 = 61
Step Two/Check: Subtract your original total with one of your original addend to get the second original addend you had before.
61 - 18 = 43
Answer:
j = 61