Answer: It will take 15 weeks for Cyndi and her sister to have the same amount of money.
Step-by-step explanation:
Given: Cyndi has $55. Her sister has $115.
Cyndi saves $10 per week. Her sister saves $6 per week.
Let x= Number of weeks.
Total amount of money Cyndi has = 55+10x (i)
Total amount of money sister has = 115+6x (ii)
From (i) and (ii) , we get
[tex]55+10x=115+6x\\\\\Rightarrow\ 10x-6x=115-55\\\\\Rightarrow\ 4x=60\\\\\Rightarrow\ x=\dfrac{60}{4}\\\\\Rightarrow\ x=15[/tex]
Hence, it will take 15 weeks for Cyndi and her sister to have the same amount of money.
Find the value of b if the two points (b,5) and (3b,7) have a slope of 10
Answer:
-20/3
Step-by-step explanation:
it would be 7-5/3b-b=10
2/3b-b=10 then multiply 2 on both sides
3b-b=20 divide 3 on both sides
20/3
-b=20/3
-b/1=20/3 cross multiply
-20/3
The value of b if the two points (b,5) and (3b,7) have a slope of 10 is 0.1 and this can be determined by using the two point slope formula
Given :
Points -- (b,5) and (3b,7)Slope -- 10The formula of the slope when two points are given can be used in order to determine the value of 'b'.
The formula of the slope is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
where m is the slope of the line, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points on the line.
Now, substitute the values of known terms in the above formula in order to determine the value of 'b'.
[tex]\rm 10 =\dfrac{7-5}{3b-b}[/tex]
Simplify the above expression.
[tex]\rm 10 =\dfrac{2}{2b}[/tex]
Cross multiply in the above expression.
20b = 2
b = 0.1
So, the value of b if the two points (b,5) and (3b,7) have a slope of 10 is 0.1.
For more information, refer to the link given below:
https://brainly.com/question/20786109
Julie collects antiques. She bought one antique for $300. Its current value is represented by the expression 300(0.75)',
where t is the number of years Julie has owned the antique. Is Julie's antique going up or down in value?
Julie's antique is going
in value.
Answer:
they are gonna go down in value
Step-by-step explanation:
Answer:
down
Step-by-step explanation:
If the value in the perenthesis is a decimal it is an exponential decay.
A store is having a 20 percent off sale on all merchandise. If Mai buys one item and saves $13, what was the original price of her purchase? Explain or show your reasoning.
Answer:
$65
Step-by-step explanation:
Given
Percentage discount = 20%
Equivalent amount saved = $13
Let the original price of the product be x
To get x;
20% of x = 13
0.2x = 13
0.2x = -13
0.2 = 13
x = 13/0.2
x = $65
Hence the original price of the product is $65
A circle has a circumferende of 13.04
units
What solution are you trying to find here with the circumference? Radius, diameter? I need more details so I can help you out. Thanks!
Someone please help me with this geometry question
Answer:
Step-by-step explanation:
-7x + 12 + (-8x + 48) = 180
-15x + 60 = 180
-15x = 120
x = -8
m<BDC= -7(-8)+ 12 = 56 + 12 = 68
m<CBA = -8(-8)+48 = 64+48 = 112
Answer:
x=-8
mbdc=68
Step-by-step explanation:
bda is a straight angle
=> bdc+cda=180°
=> (-7x+12)°+(-8x+48)°=180°
=> -15x+60=180°
=> -15x=120°
=> x=-8
bdc= (-7)×(-8)+12=68°
Find the slope of the line that passes through
(10, 1) and (6,2)
Answer:
m=-1/4
Step-by-step explanation:
2-1/6-10=1/-4
-1/4 is the slope
Answer:
slope is y2-y1/x2-x1
so slope is 1/-4
answer is -1/4
(2x + 7y) (4x – 8y)
Answer:
= 8x^2 + 12xy − 56y^2
Step by step:
(2x+7y)(4x−8y)
=(2x+7y)(4x+−8y)
=(2x)(4x)+(2x)(−8y)+(7y)(4x)+(7y)(−8y)
=8x^2−16xy+28xy−56y^2
=8x^2+12xy−56y^2
the circumference of a child's swimming pool that has a radius of 3 feet.
help! find domains! algebra!
find domains of
2(x-2) +4
2*-(x-2) + 4
i will give brainliest to a correct answer with explaination!
Answer:
The domain of 2(x-2)+4 is all real numbers, as well as for 2-(x-2)+4
Step-by-step explanation:
plss can someone do this ive been trying for hourss
Answer:
(6+y) (6-y) / 6-y
Step-by-step explanation:
Answer:
Negative Infinity
ASAP plss
An amusement park is holding a contest for people who are in line before 7 AM. The 42nd person in line winds free admission, and so do the six people before and after that person. Which graph could be used to determine the winners?
Answer: Bottom left
Step-by-step explanation:
Is the value of the expression greater than 1, equal to 1, or less than 1?
3^-3
Answer:
less than one if you're math is right you should know
Step-by-step explanation:
1 is always less than 3^-3
Select two ratios that are equivalent to
what are ratios are equivalent to 2:9
Answer:
3,18 4,27
Step-by-step explanation:
Answer:
4:18 and 6:27
Step-by-step explanation:
Since ratios can also be written as a fraction, multiply the fractions by any whole number of your choosing.
2/9*2=4/18
2/9*3=3/27
3x+45=60 solve for x
Answer:
x = 5
Step-by-step explanation:
you subtract 45 from both sides
3x = 15
you divide both sides by 3
x = 5
Answer:
x = 5
Step-by-step explanation:
Three billiard balls are left on the table. Use the expressions to determine which two balls are furthest apart.
Answer: Balls 4 and 9 are furthest apart
Step-by-step explanation:
The 9 and 4 ball are farthest from each other.
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given that, three billiard balls are left on the table, we need to determine which two balls are furthest apart.
So, the balls are in the shape of a triangle, we know that, the greatest angle is opposite of the largest side,
So, we will find the angles first,
Since the angles of a triangle add up to 180 degrees,
(x-5)+(2x+1)+(3x-8)=180,
6x-12=180.
x = 32.
That means the 9 ball is at 27 degrees, the 4 ball is at 65 degrees, and the 5 ball is at 88 degrees.
Based on the angles, the farthest distance would be between balls 9 and 4.
Hence, the 9 and 4 ball are farthest from each other.
Learn more about expression, click;
https://brainly.com/question/14083225
#SPJ3
Find the value of x if PQRS is a rhombus
Answer:
x = 11
Step-by-step explanation:
The diagonals of a rhombus are perpendicular bisectors of each other, thus
8x + 2 = 90 ( subtract 2 from each side )
8x = 88 ( divide both sides by 8 )
x = 11
express as a simple logarithm and simplify. PLEASE HELP!!!! asap!!! will give brainliest!!! thank you!!!
Answer:
A. [tex]log_{2} \frac{y}{x^5}[/tex]
Step-by-step explanation:
When expressing and simplifying this, we can see that the answer choice is A. [tex]log_{2} \frac{y}{x^5}[/tex]Answer:
( C ) log2 x5y
write an equation for the both term of the arithmetic sequence 30,26,22,18
Answer:
I guess it decreases by 4 everytime so -4??? If thats what your asking
Step-by-step explanation:
30,26,22,18,14,10,8,4,-2.
4. Which of the following formulas can be used to write 0.797979... as a fraction?
Answer:
The options are not shown, so i will answer this in a general way.
When we have a number like:
0.7979....
The steps to writing it as a fraction are the following ones:
1) First, you need to notice the repeating decimals.
In this case is easy to see that the repeating decimals are two, 7 - 9
2)we can multiply this number by 10^n, where n is the number of repeated decimals, in this case n = 2
10^2 = 100
then:
0.7979...*100 = 79.7979...
Now we can subtract the original number:
79.7979... - 0.7979 = 79
And this is equivalent to have:
0.7979..*100 - 0.7979... = 0.7979..*99 = 79
Then we know that if we multiply our number by 99, the outcome will be an integer.
Then we can multiply and divide by the same number (this is equivalent to multiply by one) as follows:
0.7979...*1 = 0.7979..*(99)/(99) = (0.7979..*99)/99 = 79/99
Then:
0.7979... = 79/99
Answer:
[tex]S_{inf.} - \frac{\frac{79}{100} }{1-\frac{1}{100} }[/tex]
Pretend "inf." is the infinity symbol, I couldn't put the actual symbol. It's option B.
can anyone help answer all these questions
Answer:
A -2,-3, B 0,-3 C -1,1
Step-by-step explanation:
He calculates that these two periods account for 18% of minutes he spends at school. How many does he spend at school.
Answer:
26
Step-by-step explanation:
a sabeeeer
Step-by-step explanation:
(3x3 + 2x² + 10) + (3x3 + 2x2 + 10x)
Answer:
(3x 3 +2x 2 +5x+5)
Step-by-step explanation:
(3x3 + 2x^2 +10) +(3x3 +2x2 +10x)
(9 + 2x^2 +10) +(9+4+10x)
(19+2x^2) +(13 +10x)
now opening the brackets
19 +13 +2x^2 +10x
2x^2 + 10x +32
taking 2x common
2x(x+5) +32
A gannet flies 24 1/2ft above sea level. It increases its elevation by 5ft. Then it dives and changes its elevation by -47 2/3ft. After it dives, what is the gannets elevation relative to sea level?
Answer:
Its elevation relative to the sea level is -18 1/6 ft (it is 18 1/6 below sea level)
Step-by-step explanation:
Here, we want to calculate the elevation relative to sea level
The sea level refer to the base of the sea
We follow the flight procedure;
distance of 24 1/2 ft above sea level , then go further up by 5
its elevation now is 24 1/2 + 5 = 29 1/2 ft
A change of -47 2/3 ft
So the elevation now will be;
29 1/2 - 47 2/3
= 59/2 - 143/3
= (177-286)/6 = -109/6
= -18 1/6 ft
The base of an isosceles triangle is 7cm long. Each of the other two sides is x cm long. What will be the expression for its perimeter
Select the two correct factors of the polynomial:
Answer:
(x + 6)
(x - 7)
Step-by-step explanation:
To factor the polynomial in form [tex]x^{2} +bx+c[/tex] find two factors of C that have a sum of B
B = -1
C = -42
Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42
6 and -7 multiply to -42 and add to -1
Write in factored form:
(x + 6)(x - 7)
Answer:
(x - 7)(x + 6)
Step-by-step explanation:
Given
x² - x - 42
Consider the factors of the constant term (- 42) which sum to give the coefficient of the x- term (- 1)
The factors are - 7 and + 6 , since
- 7 × 6 = - 42 and - 7 + 6 = - 1 , thus
x² - x - 42 = (x - 7)(x + 6)
Solve the system of linear equations by graphing y= -x+4 and y= 2x-8 what is the solution
Answer:
4=x
Step-by-step explanation:
y=-x+4
y=2x-8
-x+4=2x-8
+x +x
4=3x-8
+8 +8
12=3x
/3 /3
4=x
Which of the choices best describes this arithmetic sequence?
-3, 1, 5, 9, 13,...
Answer:
Add by 4
Step-by-step explanation:
-3+4=1
1+4=5
5+4=9
9+4=13
LOOK AT THE PHOTO...What kind of line and which direction do you shade for this inequality y > 4x - 3? Line: solid; Shade: below Line: solid; Shade: above Line: dotted; Shade: below Line: dotted; Shade: above
Answer:
dotted, below
Step-by-step explanation:
it will be dotted because the values that are equal to positive y and are on the line are not includedyou shade below the line because the only possible solutions for y are the negative numbers and they go down the planeIn the past, the mean running time for a certain type of flashlight battery has been 9.7 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has increased as a result. The hypotheses are: H 0: μ = 9.7 hours H a: μ > 9.7 hours where μ is the mean running time of the new batteries . Explain the meaning of a Type I error.
Answer:
Step-by-step explanation:
From the information given:
[tex]\mathbf{H_o: \mu = 9.7 \ hours}[/tex]
[tex]\mathbf{H_1: \mu > 9.7 \ hours}[/tex]
The type 1 error is rejecting [tex]\mathbf{H_o}[/tex] when
The meaning of Type 1 error is rejecting the claim that the mean running time is 9.7 hours when actually the mean running time is greater than 9. 7 hour.
hey i hope ur having a good day can you answer these?
thank you
question one
180 - 6 = 174 ( c )
because angles on a straight line are 180 !
question two
AB = 6 units
AC = 8 units
( i just counted the boxes )
BC = square root ( 36 + 64 ) = 10
( pythagorus’ theorum )
6 + 8 + 10 = 24 units ( b )
im late but :(
Answer:
1. C
2. B
Step-by-step explanation:
hope this helped <33
bye hope ur day is good :)