Step 1:
The variable is the number of weeks needed to equalize Alexa and her sisters savings.
Step 2:
7x + 60 = 5x + 120
Step 3:
7x+60=5x+120
Subtract 60 from both sides.
7x+(60-60)=5x+(120-60)
7x=5x+60
Subtract 5x from both sides
7x-5x=5x+60-5x
2x=60
Divide both sides by 2.
2x/2 = 60/2
x=30
Step 4:
7(30) + 60 = 5(30)+ 120
210+60=150+120
270 = 270
Step 5:
To find the unknown amount of weeks, you need to rewrite the equation isolate x on the left-hand side of the equation. I just subtracting/simplified the equation until I could solve it.
(tbh got stuck on this one)
Given f(x) = 4x-6 and g(x) = f(2x) what is an equation for the function g?
a) g(x) = 2(4x-6)
b) g(x) = 4x-12
c) g(x) = 8x-6
d) g(x) = 2(4x-6)-6
Answer: g(x) = f(2x) = 4(2x)-6= 8x-6 => c
Step-by-step explanation:
A store charges 5.5 % sales tax on all items. If an item costs d dollars before tax, which expression represents the total cost of the item, in dollars and cents, after tax?
Answer: d + 0.055d or 1.055d
Step-by-step explanation:
Cost of item = d
Sales tax percent = 5.5%
Total cost = Cost of item + Sales tax
= d + (5.5% × d)
= d + (5.5/100 × d)
= d + (0.055 × d)
= d + 0.055d
= 1.055d
Therefore, the expression that represents the total cost of the item, in dollars and cents, after tax will be:
d + 0.055d or 1.055d.
quadrilateral ABCD is a parallelogram A(-3,-2) B(-1,2) C(1,1) D(-1,-3)
Okay
Step-by-step explanation:
Diego is thinking of two positive numbers. He says, "If we triple the first number and double the second number, the sum is 34." a. Write an equation that represents this clue. Then, find two possible pairs of numbers Diego could be thinking of. b. Diego then says, "If we take half of the first number and double the second, the sum is 14." Write an equation that could represent this description. c. What is Diego's two numbers? Explain or show how you know. A coordinate plane is given here, in case helpful.
Answer:
x = 8
y = 5
Step-by-step explanation:
Let
x and y = the two positive numbers
a. 3x + 2y = 34 (1)
b. 1/2x + 2y = 14 (2)
Solve the simultaneous equation
3x + 2y = 34 (1)
1/2x + 2y = 14 (2)
Subtract (2) from (1)
3x - 1/2x = 34 - 14
6x-x/2 = 20
5/2x = 20
x = 20 ÷ 5/2
= 20 × 2/5
= 40/5
= 8
x = 8
Substitute x = 8 into (1)
3x + 2y = 34 (1)
3(8) + 2y = 34
24 + 2y = 34
2y = 34 - 24
2y = 10
y = 10 / 2
= 5
y = 5
Diego's two numbers are 8 and 5 respectively
The birth weights of newborn babies in the United States follow a normal distribution with a mean of 3.4 kg and a standard deviation of 0.6 kg. Researchers interested in studying how children gain weight decide to take random samples of 100 newborn babies and calculate the sample mean birth weight for each sample. Calculate the mean and standard deviation of the sampling distribution
Answer:
3.4 kg
0.06 kg
Step-by-step explanation:
Given that:
Birthweight follows a normal distribution :
Mean weighf (m) = 3.4 kg
Standard deviation (σ) = 0.6 kg
Sample size (n) = 100 new born babies
calculate the sample mean birth weight for each sample. Calculate the mean and standard deviation of the sampling distribution
The sample mean birth weight = population mean birth weight for a normal distribution according to the central Limit theorem.
Hence, sample mean birth weight = 3.4kg
Standard deviation of sampling distribution = standard error = σ/√n
0.6 / √100
= 0.6 / 10
= 0.06 kg
Using the Central Limit Theorem, it is found that:
The mean is of 3.4 kg.The standard deviation is of 0.06 kg.Central Limit Theorem The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]. For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.In this problem:
Mean of 3.4 kg, hence [tex]\mu = 3.4[/tex].Standard deviation of 0.6 kg, hence [tex]\sigma = 0.6[/tex].Samples of 100, hence [tex]n = 100, s = \frac{0.6}{\sqrt{100}} = 0.06[/tex]Hence, the mean of the sampling distribution is of 3.4 kg and the standard deviation is of 0.06 kg.
To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/24663213
HELPP!! BRAINLIEST AND 10 POINTS !!
Answer:
y = ax^2 + bx + c
5/6 divided by 2/3 (please show work!)
Answer:
Theres the work sorry if im wrong
Step-by-step explanation:
5
-
6 and 2
-
3 =10/18
Answer:
5/4 or 1 1/4
Step-by-step explanation:
Multiply by the reciprocal:
5/6 • 3/2
Reduce with the greatest common factor, which is 3:
5/2 • 1/2
Finally, multiply:
5/4 or, as a mixed fraction, 1 1/4
what is the density of 9 cm³ gold cube with 450 g in a mass?
Answer:
Answer is 50g/cm^3
Step-by-step explanation:
soln,
Volume of the gold cube = 9 cm^3
Mass of the gold cube = 450 g
now,
density= mass/volume
=450 / 9
=50 g/cm^3
{Therefore, the density of the gold cube is 50 g/cm^3.}
HELP HELP HELP HELP HELP PLS
Which describes the solution of the inequality y > −15? Select all the points that are part of the solution.
(0, −20)
(−7, −2)
(4, −15)
(−1, −1)
solid horizontal line through (0, −15) with shading below line
dashed vertical line through (0, −15) with shading to left of line
(15, 2)
dashed horizontal line through (0, −15) with shading above line
Answer:
dashed horizontal line through (0, −15) with shading above line
Step-by-step explanation:
Answer:
Dashed horizontal line
Step-by-step explanation:
If its multiple choice and you need help just add a comment
and if you need help with any other math homework assignment or anything just DM me on ig
-Stewart.lil2
sorry me and my friend have matching usernames bc (ion een kno but yea)
Terry increased the size of his rectangular garden this summer. He increased to length by 50% and the width by 20% by what percentage has his garden changed with these changes?
Given :
Terry increased the size of his rectangular garden this summer. He increased to length by 50% and the width by 20%.
To Find :
By what percentage has his garden changed with these changes.
Solution :
Let, initial length and breadth is x and y.
So, initial area = xy .
Size after increasing them :
y' = y + 0.50y
y' = 1.5y
x' = x + 0.2x
x' = 1.2x
Final area = (1.5y)(1.2x) = 1.8xy
So, percentage increase is :
[tex]= \dfrac{new-original}{original }\times 100\%\\\\= \dfrac{1.8xy -xy}{xy }\times 100\\\\=80 \%[/tex]
Therefore, percentage increase in are is 80%.
Hence, this is the required solution.
You are allowed to eat at most 12 pieces of candy. You have already eaten 2. Write an inequality and solve to find how many more piece of candy you can eat.
Answer:
One of the below.
Step-by-step explanation:
12-2=10 2+x=12
#2: Solve the linear system below using the elimination method. Type your
answer as an ordered pair in the form (#,#). *
5x + 7y = 33
11x + 7y = 39
+
The given linear system is:
[tex]\displaystyle \left \{ {{5x+7y=33} \atop {11x+7y=39}} \right.[/tex]
The question is asking to solve using elimination. When eliminating, you can either eliminate x or y. In this system, y is much easier to eliminate. The y variable in both equations are 7y. To eliminate, one of them has to be negative, so multiply one of the equations by -1.
I will be multiplying the second equation by -1.
[tex]\displaystyle (11x + 7y = 39) \times -1 = -11x-7y=-39[/tex]
Rewrite the system:
[tex]\displaystyle \left \{ {{5x+7y=33} \atop {-11x-7y=-39}} \right.[/tex]
Subtract:
[tex]5x+7y=33\\-11x-7y=-39[/tex]
[tex]5x-11x=33-39\\-6x=-6[/tex]
Lastly, you need to leave the variable x alone. The variable is currently -6x or -6 times x. To remove it, you need to do the opposite of it, which is dividing by -6.
[tex]\displaystyle \frac{-6x}{-6} =\frac{-6}{-6}[/tex]
[tex]\displaystyle x=1[/tex]
Now that you have the value of x, substitute it into one of the equations to find y. I will be substituting it into the first equation.
[tex]5x+7y=33 \rightarrow 5(1)+7y=33[/tex]
Open the parentheses and multiply:
[tex]5+7y=33[/tex]
Move 5 to the other side to leave the variable alone:
[tex]5+7y-5=33-5[/tex]
You will be subtracting since you're "removing" it by doing the opposite of it.
[tex]7y=28[/tex]
Lastly, divide both sides by 7 to leave y alone.
[tex]\displaystyle \frac{7y}{7} =\frac{28}{7}[/tex]
[tex]y=4[/tex]
[tex]\displaystyle (x,y) \rightarrow (1, 4)[/tex]
The answer is (1, 4).
Answer:
(1, 4)
Tbh this question was a bit of a challenge for me but hopefully it helps ya.
Step-by-step explanation:
First, let's solve for y. So we have to eliminate the x values.
(5x + 7y = 33 ) *11
(11x + 7y = 39) *-5
___________
55x + 77y = 363
-55x -35y = -195 This eliminates the x value.
42y = 168 Divide both sides by 42 to isolate y: 168/42= y = 4
Now let's solve for x.
(11x + 7y = 39) *7
(5x + 7y = 33 ) *-7
___________
77x + 49y = 273
-35x -49y = -231 This cancels out the y values, which leaves 42x = 42
x = 1 and y = 4, so the answer is (1, 4)
WILL GIVE 75 POINTS!! will send $2 IN CASHAPP!
Here are recipes for two different banana cakes. Information for the first recipe is shown in the table.
1st Recipe: y = 1.5x
2nd Recipe: y = 7/4x
If you used 4 cups of sugar, how much flour does each recipe need?
a. First: 2 cups, Second: 8 cups
b. First: 7 cups, second: 6 cups
c. First: 4 cups, second: 2 cups
d. First: 6 cups, Second: 7 cups
Step-by-step explanation:
H hvuvuvuvuvuv9yvig kg
5) Which is the better deal for mechanical
pencils?
(Hint: better deal means CHEAPER!)
Target: 4 pencils for $1.25
Staples: 25 pencils for $5.69
Answer:
Staples
Step-by-step explanation:
5.69/25<1.25/4
Answer:
Target
Step-by-step explanation:
Buying let's say you buy 4 packs close to the amount of Staples you'd get 16 pencils.
(ps sorry if I'm wrong lol)
Elena and Jada are 24.5 miles apart on a path when they start moving toward each other. Elena bikes at a constant speed of 8 miles per hour, and Jada runs at a constant speed of 6 miles per hour. How long does it take until Elena and Jada meet? Explain your reasoning.
Answer:
when they reach each other Elana would have gone 16 miles for 2 minutes And jada would for a minite to reach elana
Step-by-step explanation:
i dont understand how to do absolute values someone please help, and fast
A person can pay $24 for a member to the art museum and then go to the art museum can make for a total cost of 44$ ?
Answer:
tyhjhngbfr
Step-by-step explanation:
gbftrfedvgbhnjyh yeet
The length of the rectangle is twice the width. Find the length of the rectangle if the perimeter is 42m.
Answer:
28m
Step-by-step explanation:
2x+x=42
3x=42
x=14
However, since the length of the rectangle is twice the width, we'll need to multiply it by 2.
So: 14 times 2=28
Terry bought 2 1/2 dozen chocolate chip cookies. She paid $15 for her purchase. If there are 12 cookies in each dozen, what is the cost per cookie?
Answer:
you have to divide 12 by 15
Step-by-step explanation:
2 Write the equation of the line that goes
through (-2, 4) and is parallel to the line y = 1/2 x + 2
hi
if the twi lines are parallel , they have the same slope.
So slope is 1/2.
equation of a line is : mx +p
The line goes throught (-2 ; 4)
We have 1/2 ( -2) + p = 4
- 2/2 +p = 4
-1 +p = 4
p = 4+1
p = 5
equation of the line is y = 1/2x +5
CAN SOMEONE HELP ME
Mai uses Triangle A and says the slope of this line is `\frac{6}{4}.` Elena uses Triangle B and says no, the slope of this line is `1.5.` Do you agree with either of them? Explain.
Answer:
I agree with both of them because they are both correct
Step-by-step explanation:
See attachment for complete question;
Slope (m) is calculated using the following formula:
[tex]m = \frac{Rise}{Run}[/tex]
Where
[tex]Rise = Vertical\ Distance[/tex]
[tex]Run = Horizontal\ Distance[/tex]
From the attachment, we have the following:
Triangle A
[tex]Rise = 6\ units[/tex]
[tex]Run = 4\ units[/tex]
So:
[tex]m = \frac{Rise}{Run}[/tex]
[tex]m = \frac{6}{4}[/tex]
In this case, Mai is correct:
Triangle B
[tex]Rise = 1.5\ units[/tex]
[tex]Run = 1\ units[/tex]
So:
[tex]m = \frac{Rise}{Run}[/tex]
[tex]m = \frac{1.5}{1}[/tex]
[tex]m = 1.5[/tex]
In this case, Elena is also correct:
Can somebody plz help answer these questions correctly. It’s about like dividing integers and tat type of stuff! Thanks
WILL MARK BRAINLIEST
Answer:
tytrugivffhet GG hfjeyrebrwryehyeujxhfrcan someone help me fill this out....
Answer:
Step-by-step explanation:
First Line:
0, 1//7, 2/7, 3/7, 4/7, 5/7, 6/7, 1, 8/7, 9/7, 10/7
Second Line:
-1/3, 0, 1/3, 1/2, 1, 4/3
Third Line:
0, 1/3, 2/3, 1, 4/3, 5/3, 2
HELPPPPPP!!!!
So far this month Aaron calculated that he will earn $40 in commission for his $500 in product sales. If Aaron would like for his commission to be $320, how much will his product sales need to be?
Answer:
$4000 in product sales
Step-by-step explanation:
[tex]\frac{40}{500} =\frac{320}{x} = 4000[/tex]
Answer:
$4000
Step-by-step explanation:
i) Calculate if $1 = ? commission
500/40 = $12.5
$1 = $12.5 commission
ii) If the commission $320,
320×12.5=4000
His product sales need to be $4000
Which graph shows a function with a zero of –5?
Answer:
Look for the y-intercept where the graph crosses the y-axis. Look for the x-intercept where the graph crosses the x-axis. Look for the zeros of the linear function where the y-value is zero.
Step-by-step explanation:
Find the equation of the line that is perpendicular to the given line and passes through the given point.
y = −1/2x − 3; (14, 0)
The equation is y = ?
Answer:
[tex]y=2x-28[/tex]
Step-by-step explanation:
Slope intercept form:
[tex]y=mx+b[/tex]
where:
m is the slope (change in the y values over the change in the x values)b is the y-intercept (where x is 0)x and y are corresponding coordinate points (x,y)When two lines are perpendicular, their slopes will be opposite reciprocals.
examples:
[tex]\frac{1}{3}[/tex] → flip the fraction and change the sign → [tex]-3[/tex]
-5 or [tex]-\frac{5}{1}[/tex]→ flip the fraction and change the sign → [tex]\frac{1}{5}[/tex]
[tex]\frac{5}{7}[/tex] →flip the fraction and change the sign →[tex]-\frac{7}{5}[/tex]
So find the opposite reciprocal of the given slope:
[tex]y=(slope)x+(y-intercept)\\\\y=-\frac{1}{2} x-3\\\\slope=-\frac{1}{2}[/tex]
Flip the fraction and change the sign:
[tex]-\frac{1}{2}[/tex] → [tex]\frac{2}{1}[/tex] or [tex]2[/tex]
Now insert the new slope and the given points into point-slope form:
[tex]y-y_{1}=m(x-x_{1})\\\\(14_{x_{1}},0_{y_{1}})\\\\y-0=2(x-14)[/tex]
Solve the equation for y. Use the distributive property:
[tex]y-0=2(x)+2(-14)\\\\y-0=2x-28[/tex]
Simplify:
[tex]y=2x-28[/tex]
:Done
Bella is working on the world record for longest beaded necklace. She has 10,000 glass beads that have a diameter of 0.4 cm. If she strings these beads end to end, how long will her necklace be.
Answer:
The necklace will be 4,000 cm long
Step-by-step explanation:
Here we want to calculate the length of the necklace
Mathematically, that would just be the product of the beads and the diameter of each bead
Hence, we have
10,000 * 0.4 = 4,000 cm
please help i'll give brainist!
ariana takes a handful of cookies and divides them evenly between her 3 kids. then she grabs one more cookie for each kid. if each kid got 4 total cookies. how many did she have in her original handful
Answer:
9 cookies in her original handful
Step-by-step explanation:
3 times 4 equals 12
12-3=9