Step-by-step explanation:
Geometric mean
[tex]= \sqrt{162\times 8}\\
=\sqrt{1296} \\
=36 [/tex]
1/2 + 1/3 (6/7 + 15/28)
At a farmers market strawberries cost $1.60 per pint, blueberries cost $2.30 per pint. A shopper bought twice as many pints of strawberries as pints of blueberries, and spent a total of $11.00. How many pints of each did she buy?
4 pints of strawberries and 2 pints of blueberries are bought
Solution:
Let "a" be the pints of strawberries bought
Let "b" be the pints of blueberries cost
Cost per pint of strawberry = $ 1.60
Cost per pint of blueberry = $ 2.30
A shopper bought twice as many pints of strawberries as pints of blueberries
Therefore,
a = 2b --------- eqn 1
They spent a total of $11.00. Therefore we frame a equation as:
pints of strawberries bought x Cost per pint of strawberry + pints of blueberries cost x Cost per pint of blueberry = 11
[tex]a \times 1.60 + b \times 2.30 = 11[/tex]
1.6a + 2.3b = 11 --------- eqn 2
Substitute eqn 1 in eqn 2
1.6(2b) + 2.3b = 11
3.2b + 2.3b = 11
5.5b = 11
Divide both sides by 11
b = 2
Substitute b = 2 in eqn 1
a = 2(2)
a = 4
Thus 4 pints of strawberries and 2 pints of blueberries are bought
Answer:
3.45
Step-by-step explanation:
Its right on the quiz
Given tan A =7/24, find the sin B and tan b. A. 7/25 B. 24/7 C. 24/25 D. 7/24
Question:
Given tan B =7/24, find the sin B
Answer:
Option A
[tex]sin\ B = \frac{7}{25}[/tex]
Solution:
Given that,
[tex]tan\ B = \frac{7}{24}[/tex]
We have to find sin B
We know that by trignometric ratios,
[tex]tan = \frac{opposite}{adjacent}[/tex]
From given,
[tex]tan\ B = \frac{7}{24}[/tex]
On comparing we get,
Opposite = 7
Adjacent = 24
We can find the hypotenuse
[tex]hypotenuse^2 = opposite^2 + adjacent^2\\\\hypotenuse^2 = 7^2 + 24^2\\\\hypotenuse^2 = 49 + 576\\\\hypotenuse^2 = 625\\\\Take\ square\ root\ on\ both\ sides\\\\hypotenuse = 25[/tex]
Thus Sin B is given as:
[tex]sin\ B = \frac{opposite}{hypotenuse}\\\\sin\ B = \frac{7}{25}[/tex]
Thus, sin B is [tex]\frac{7}{25}[/tex]
Equivalent fractions of 8/12
Answer:
Step-by-step explanation:
Simple multiply both 8 and 12 by any number and then equivalent
Answer:
3/4 or 16/24 or 2/3
Step-by-step explanation:
452 multiplied by 36
Answer:
16272
Step-by-step explanation:
Answer:
16272
Step-by-step explanation:
the answer would be 16272.
and if u need help with anything else you can easily use me :) jkjk use a calculator
What is the greatest common factor of 24y and (4y^2+12y)
Matt earned $28,500 last year. He paid $8,265 for rent. What percent of his earnings did Matt pay for rent ?
Answer: 29%
Step-by-step explanation:
You need to divide the rent, 8265, by the amount of money he earns.
8265/28500 is .29
Multiply that by 100 to get it in percent form
75% of a number is 230. Solve.
Work is attached in the image provided.
A cell phone company charges $40 per month for unlimited calling, and $0.20 per text message sent. If t represents the number of text messages Roxy sent last month, which expression represents the cost of her bill last month before any taxes or additional fees?40 − 0.2t
(40 + 0.2)t
40 + 0.2t
(40 − 0.2)t
Answer:
Step-by-step explanation:
40 per month + 0.20 per text(t)
40 + 0.2t....no parenthesis needed
Answer:
did it
Step-by-step explanation:
Please answer, EXPLAIN for brainliest.
Answer:
Width = 16cm length = 24cm; Draw up to larger dimensions.
Step-by-step explanation:
Scale factor of 4 means the new shape is 4 times the size of the original.
will the account balance be aller 17 years!
3) Ashley invests $4,650 in a savings
account with a fixed annual interest rate of
9% compounded 12 times per year. What
will the account balance be after 12 years?
Answer:
Account balance after 17 years: $21,352.27
Step-by-step explanation:
Use the formula for amount after compound interest.
A = P(1+i)ⁿ
What the variables mean:
"A" is for amount after the time period.
"P" is principal, meaning starting money.
"i" is the interest per compounding period.
"n" is the total number of compounding periods.
"c" is the compounding periods each year. (annual = 1; monthly = 12, etc)
To calculate "i":
i = r/c
"r" is the annual interest rate in decimal form.
To calculate "n":
n = t*c
"t" is the time, usually the number of years.
Now can combine these formulas:
[tex]A = P(1+\frac{r}{c})^{t*c}[/tex]
What do we know from the problem?
t = 17 years
P = 4650
r = 9% = 0.09
c = 12
Substitute them into the formula.
[tex]A = P(1+\frac{r}{c})^{t*c}[/tex]
[tex]A = 4650(1+\frac{0.09}{12})^{17*12}[/tex] Simplify
[tex]A = 4650(1.0075)^{204}[/tex] Do the exponent with a calculator
[tex]A = 4650(4.59188689)[/tex] Multiply
[tex]A = 21352.274[/tex] Unrounded answer
A ≈ 21352.27 Round down because "4" is less than 5.
Therefore Ashley's account balance after 17 years will be $21,352.27.
(b) John begins his jogging workout by running faster and faster for about a minute. Once he hits a comfortable pace, he
runs at that pace for several minutes. Then he gradually slows down to a stop over the next few minutes.
Speed
Speed
Speed
Speed
Time
Time
Time
Time
Answer:
What am i supposed to answer?
which expression is equivalent to x2 • x3?
Answer:
the answer is x^5
Step-by-step explanation:
add the exponents
The required expression equal to x².x³ is [tex]x^5[/tex].
Given that,
To determine the expression is equivalent to x².x³
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The given expression,
= x².x³
There is a property in the product if the base of the exponents is the same then their power gets added.
So, the simplification
= [tex]x^{2+3}[/tex]
= [tex]x^5[/tex]
Thus, the required expression equal to x².x³ is [tex]x^5[/tex].
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
20. Mary has 3 packages of hamburger the
weigh 1.3/4 pounds each. What is the total
weight of the hamburger?
A2.1/4pounds
B 3.3/4pounds
© 4.1/2 pounds
D5.1/4 pounds
To find the total weight of the hamburger in three packages, multiply the weight of one package by three. The total weight of the hamburger is 5 1/4 pounds.
Explanation:The student's question involves finding the total weight of three packages of hamburger, each weighing 1 3/4 pounds.
To solve this problem, the weight of one package must be multiplied by the number of packages.
The calculation is: 1 3/4 pounds × 3, or in improper fraction form, (7/4) pounds × 3.
Multiplying the improper fraction by 3, we have:
(7/4) × 3 = 21/4The fraction 21/4 is equivalent to 5 1/4 when converted into a mixed number because 21 divided by 4 is 5 with a remainder of 1.
Therefore, Mary has a total of 5 1/4 pounds of hamburger across the three packages.
(15x+29)=(26x-4) whats value of x
If a(x)=2x-4 and b(x) =x+2, which of the following expressions produces a quadratic function?
Answer:
[tex](ab)(x)[/tex]
Step-by-step explanation:
The complete question in the attached figure
we have
[tex]a(x)=2x-4\\b(x)=x+2[/tex]
we know that
(ab)(x) is equal to the product of a(x) and b(x)
so
[tex](ab)(x)=(2x-4)(x+2)[/tex]
Applying distributive property
[tex](ab)(x)=2x(x)+2x(2)-4(x)-4(2)[/tex]
[tex](ab)(x)=2x^2+4x-4x-8[/tex]
[tex](ab)(x)=2x^2-8[/tex]
This is a quadratic equation
The other expressions not produce a quadratic equation
The sum of eight times a number and negative four exceeds twelve.
8x + -4 > 12
8x > 16
x > 2
Hope this helps! ;)
Answer:8x + -4 > 12
8x > 16
x > 2
Step-by-step explanation:
Which line is the graph of y= 2x - 1?
Answer:
The points are (0,-1) and (1,1)
Step-by-step explanation:
Answer:
Line A
Step-by-step explanation:
How many times does 27 go into 324
what is the answer to 3(-3x+20) + 5(x/5)?
Answer:
-8x+60
Step-by-step explanation:
3(-3x+20)+ 5(x/5)
Solve one term at a time
3(-3x+20)
-9x+60
Solve second term
5(x/5)
5x/5
X
Add both terms together
-9x+60+x
-9x+x+60
-8x+60
-8x+60
Step-by-step explanation:
3(-3x+20)+ 5(x/5)
Solve one term at a time
3(-3x+20)
-9x+60
Solve second term
5(x/5)
5x/5
X
Add both terms together
-9x+60+x
-9x+x+60
-8x+60
What is the quotient of the following division problem?
x + 1 StartLongDivisionSymbol x squared + 3 x + 2 EndLongDivisionSymbol. minus x squared + x to get a remainder of 0 ) 2 x + 2. minus 2 x + 2 to get a remainder of 0 and a quotient of x + 2.
The quotient of x + 1 StartLongDivisionSymbol x squared + 3 x + 2 EndLongDivisionSymbol is x+2
Step-by-step explanation:
We need to find quotient of x^2+3x+2 divided by x+1
The division is shown in figure attached.
Quotient: x+2
Remainder: 0
The quotient of x + 1 StartLongDivisionSymbol x squared + 3 x + 2 EndLongDivisionSymbol is x+2
Answer:
x+2
Step-by-step explanation:
HURRY
Figure ABCDF is transformed according to the rule R0, 270
What are the coordinates of B?
(-2,3)
(3.-2)
(2-3)
(-3.2)
Answer:
3,-2
Step-by-step explanation:
Answer:
ITS (-3,2)
Step-by-step explanation:
Solve the equation.
9 + n/5 = 19
A 50
B 140
C 104
D 86
Answer:
50
Step-by-step explanation:
What are the four arithmetic means between -10 and 35?
Answer:
-1, 8, 17, 26
Step-by-step explanation:
35 - (-10) = 45
45/5 = 9
-10 + 9 = -1
-1 + 9 = 8
8 + 9 = 17
17 + 9 = 26
Final answer:
The four arithmetic means between -10 and 35 are -1, 8, 17, and 26.
Explanation:
To find the four arithmetic means between -10 and 35, we want to divide the interval evenly into six equal parts (because there will be five intervals with four means and two endpoints). First, calculate the total interval size:
35 - (-10) = 45
Then divide this interval by the total number of segments (which is one more than the number of means):
45 / (4 + 1) = 9
This gives us the common difference. Starting from -10 and adding the common difference of 9 each time, the four arithmetic means would be:
-10 + 9 = -1-1 + 9 = 88 + 9 = 1717 + 9 = 26Thus, the four arithmetic means between -10 and 35 are -1, 8, 17, and 26.
16^(3-3r)=256 can someone please help me solve this!! Thanks!!
Answer:
The value of r is 1/3
Step-by-step explanation:
Let's solve for r in the equation:
16 ^(3-3r) = 256
16 ^(3-3r) = 16²
3 - 3r = 2
-3r = 2 - 3
-3r = -1
r = -1/-3
r = 1/3
Let's prove r = 1/3 is correct:
16 ^(3-3r) = 256
16 ^ (3 - (3 * 1/3)) = 256
16 ^ (3 - 1) = 256
16 ² = 256
16 * 16 = 356
We proved that r = 1/3 is correct
Please help I'll give thanks and brainliest.
Also I'm pretty sure both have 2 answers.
Thanks! ^u^
Answer:
(1) Factor: a^n(1+a)
(2) Solve: x=0, x=2/3
Step-by-step explanation:
Steps to factor:
[tex]a^n+a^{n+1}[/tex]
~Apply rule of exponent ([tex]a^{b+c}=a^ba^c[/tex])
[tex]a^n+a^1a^n[/tex]
~Factor out the common term of [tex]a^n[/tex]
[tex]a^n(1+a)[/tex]
Steps to solve:
[tex]3x^3-x^2=x^2[/tex]
~Subtract [tex]x^2[/tex] to both sides
[tex]3x^3-x^2-x^2=x^2-x^2[/tex]
~Simplify
[tex]3x^3-2x^2=0[/tex]
~Factor left side of the equation
[tex]x^2(3x-2)=0[/tex]
~Set factors to equal zero
[tex]x^2=0[/tex] and [tex]3x-2=0[/tex]
~Simplify
[tex]x = 0[/tex] and [tex]x=\frac{2}{3}[/tex]
Best of Luck!
There were 30 students enrolled in the school chess club in the fall and 24 students enrolled in the spring whats the percent decrease in the number of students enrolled in the chess club?
Answer:
20%
Step-by-step explanation:
30-24=6
6/30=.2=20%
Answer:
Decrease by 6
Step-by-step explanation:
20%
Find the image of the figure after a dilation with a point A as the centre by a scale factor of 0.75
Answer:
Step-by-step explanation:
So the dilation of .75.
You want to find what each point is before the dilation.
A(-10,-14)
B(-10,14)
C(12,14)
D(12,-14)
So, we multiply these by the scale factor, 0.75.
(x,y) = (X x 0.75, y x 0.75)
A = -10 x 0.75, -14 x 0.75
B= -10 x 0.75, 14 x 0.75
C = 12 x 0.75 , 14 x 0.75
D = 12 x 0.75 , -14 x 0.75
now, the image of the figure would be
A' ( -7.5, -10.5)
B' (-7.5, 10.5)
C' (9, 10.5)
D' (9, -10.5)
6. Calculate the distance Tarryn drives if she
drives 7/8mile each way to and from work,
5 days a week.
Answer:
not that hard sir
Step-by-step explanation:
do 7/8 x 5
Final answer:
Tarryn drives a total of 8.75 miles in a week to and from work, with each one-way trip being 7/8 mile and she works 5 days a week.
Explanation:
Calculating Total Distance Driven
Tarryn drives to and from work 5 days a week, with each trip being 7/8 mile. To calculate the total distance she drives in a week, we need to consider both the trip to work and the return trip. This will give us the daily round trip distance, which we will then multiply by the number of days she works in a week.
First, we calculate the daily round trip distance:
Round trip distance = Distance to work + Distance from work
Round trip distance = 7/8 mile + 7/8 mile
Round trip distance = 7/4 miles (or 1.75 miles)
Then, we calculate the total distance for the week:
Total weekly distance = Daily round trip distance × Number of workdays
Total weekly distance = 7/4 miles × 5 days
Total weekly distance = 35/4 miles (or 8.75 miles)
Therefore, Tarryn drives a total of 8.75 miles over the course of a 5-day workweek.
Write an equation for h.
Answer:
h = 96/8
Step-by-step explanation:
In this image, we're being shown a rectangle. To solve for a rectangle, you use:
Area = base x height
We know the base and area already, so we can plug those values in. It will then look like this:
96 ft = 8ft x height
In order to make it into "h = _____" we need to isolate the height. We can use inverse operation for that. We can divide 8 on both sides. This will then give us the equation:
h = 96/8
Hence, the answer to this is "h = 96/8". If you have any further concerns or questions, feel free to leave a comment below! Have a great day!!! :)