Answer:
[tex]E=\dfrac{FG}{2b^2}[/tex]
Step-by-step explanation:
Multiply by the inverse of the coefficient of E.
[tex]G=\dfrac{2b^2E}{F}\\\\\boxed{E=\dfrac{FG}{2b^2}}[/tex]
It pays 6% interest annually for 2 years.
Liam would like to earn $750 in interest.
How much money does he need to put in?
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$750\\ P=\textit{original amount deposited}\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &2 \end{cases} \\\\\\ 750 = (P)(0.06)(2)\implies \cfrac{750}{(0.06)(2)}=P\implies 6250=P[/tex]
The area of the garden is 96 square feet. The width of the garden is 8 feet. What is the length of fencing needed to put around the garden?
Answer:
12 ft
Step-by-step explanation:
Length = x
Area = length * width = x * 8 = 8x
so 8x = 96
x = 12 ft
The ratio of left-handed students to right-handed students in Mr. Johnson's first period class is 2: 3. If there are 30 students in this class, how many are left-handed?
Answer:
12 left-handed students
Step-by-step explanation:
The ratio 2:3 indicates 2 left-handed students for every 3 right-handed students. This means 2 left-handed students are expected for every 5 total students. You can use this information and set up and solve the proportion 2/5 = x/30
Elsa earns $140 for working 20 hours.
What is Elsa's rate of pay for each hour she works?
A) $6.50 per hour
B) $7.00 per hour
C) $7.25 per hour
D)$8.00 per hour
Answer:
$7
Step-by-step explanation:
Suppose she is earning an equal amount for each hour she works:
$140 = 20h divide both sides by 20
$7 = 1h she earns $7 per hour
A family has two cars. The first car has fuel efficiency of 30 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas. During one particular week, the two cars went a combined total of 2150 miles, for a total gas consumption of 60 gallons, How many gallons were consumed by each of the two cars that week?
Answer:
the first car has 25 gallons of gases while the second car has 35 gallons of gases
Assume the total cost of a tertiary education will be R75 000 when your child enters university in 18 years. You presently have R7 000 to invest. What rate of interest must you earn on your investment to cover the cost of your child’s tertiary education?
Answer: you need 5000 more
Step-by-step explanation: 70000 + 5000= 75000
What is the constant of proportionality?
Enter your answer in the box.
Answer:
12
Step-by-step explanation:
The constant of proportionality is the slope of the line, the ratio of the y-coordinate to the x-coordinate.
k = 36/3 = 12 . . . . . from the lower left point (not the origin)
__
Additional comment
This comes from the equation for a proportion:
y = kx
Solving for k, we get ...
k = y/x
A proportion always graphs as a line through the origin. The slope of it is k, the constant of proportionality.
-15x+3g=9 solve for y
Answer:
its nothing bc there is no y
Step-by-step explanation:
Dan drinks 6 more glasses of water than Becky.
Becky drinks 5 glasses of water.
How many glasses of water did Dan drink?
Answer:
Dan drank 11 glasses of water
Step-by-step explanation:
5 + 6 = 11
Answer:
11
Step-by-step explanation:
5+6=11
William has 3 shipping containers that measure 4 feet by 8 feet by 16 feet. He wants to fill all of the containers with 4-foot cubes. How many cubes can he pack if all the containers are full?
If each cube can get William $24.25 profit, how much will he make?
which of the following measures can have more than one value for a set of data?
A. Mean
B. median
C. mode
D.range
Answer:
C. mode
Step-by-step explanation:
The median and mean can only have one value for a given data set. The mode can have more than one value (see Mode section on previous page).
Kammi wrote the numbers -3, -3.5, 4, and -4.5 in order from least to greatest. How did she write the numbers?
Since she is writing the numbers from least to greatest, they would be written like this:
-4.5, -3.5, -3, 4
The greater the negative number, the more the value decreases. Negative numbers are always less than non-negative numbers.
Lines M and N are parallel. Find the measure of ∠b.
Answer: C
Step-by-step explanation:
Alternate interior angles theorem
pls answer this all pls quickly now
Answer:
1. 35 minutes
2. 12:15 p.m.
3. 110 minutes
4. 6:05 p.m.
5. 9:21 a.m.
Step-by-step explanation:
1. Subtract 2:55 from 3:30 = 35
2. Subtract 25 minutes from 12:40 = 12:15
3. Subtract 7:20 from 9:10 = 110
4. Add 35 minutes to 5:30 = 6:05
5. Subtract 33 from 9:54 = 9:21
The value of square root of 35 is between 5 and 6. Which of the following is a more precise approximation of square root of 35?
Answer:6
Step-by-step explanation:
because [tex]\sqrt{35}[/tex] is closer to 6 than 5 and is also about 5.9...
Can some help me out? TIA
Answer:
11.2
Step-by-step explanation:
15×15-10×10=125
Square root of 125 to the nearest tenth is 11.2
Which linear equation represents the data given in the table?A) y = 7x + 4B) y = 4x + 7C) y = 7x − 4D) y = 4x − 7
Answer:
Step-by-step explanation:
Linear equations are equations that have constant slopes
The linear equation that represents the table is (a) y = 7x +4
How to determine the linear equation
Start by calculating the slope (m) using:
So, we have:
Simplify
The equation is then calculated as:
So, we have:
Open the brackets
Hence, the linear equation that represents the table is (a) y = 7x +4
A warehouse holds 7,140 shoeboxes. Each aisle holds the same number of
boxes. How many aisles could there be?
Answer:
5
10
4
Step-by-step explanation:
Those numbers do into 7140 with no remainder
If I dilate a 2x2 square by a scale factor of 3, what will be the new area?
Answer:
36 square units
Step-by-step explanation:
A 2x2 square has sides that are 2 units long.
When you dilate by a factor of 3, each side has a length 3 times the original length. 2 * 3 = 6. Each side is now 6 units long.
area = side * side = 6 units * 6 units = 36 units^2
Kristen drinks 0.5 liter of orange juice with breakfast each day for 15 days . how many milliliters of orange juice does Kristen drink during the 15 days?
Answer:
7500 ml
Step-by-step explanation:
first times 0.15 x 15
you get 7.5 liters during the 15 days
convert that into milliliters and its 7500ml
how do i solve this can someone give me the answer
Answer:
I don't see a question, so it Imma answer how it seems.
It looks like it's B. x < -6.
(You can tell bc the circle is open and the arrow is pointing left.)
I think this is right
Step-by-step explanation:
Prior to the 2008 Republican primary for President, the December 21, 2007 Grand Haven Tribune had an article about results from a poll of 621 likely Michigan Republican voters. Quoting from the article: The survey of 621 likely Republican primary voters shows Romney at 21 percent, Huckabee at 19 percent, Guiliani at 12 percent and John McCain at 10 percent. Ron Paul and Fred Thompson each got 4 percent, while Duncan Hunter and Tom Tancredo each got 1 percent.
Required:
a. What is the sample size?
b. Make a frequency table of the results that includes both frequencies (counts) and relative frequencies
Answer:
a
The sample size is n = 621
b
Voters Relative Frequency Frequency
Romney 0.21 130
Huckabee 0.19 118
Guiliani 0.12 75
John McCain 0.10 62
Ron Paul 0.04 25
Fred Thompson 0.04 25
Duncan Hunter 0.01 6
Tom Tancredo 0.01 6
Undecided votes 0.28 174
Step-by-step explanation:
From the question we are told that
The number of voters is n = 621
The voter election aspirants and their relative frequency are
Romney , 0.21
Huckabee , 0.19
Guiliani , 0.12
John McCain ,0.10
Ron Paul , 0.04
Fred Thompson 0.04,
Duncan Hunter 0.01
Tom Tancredo 0.01
Undecided votes 0.28
This undecided vote is used to represent votes that did not count and it is obtained by subtracting the other relative frequencies from 1 (i.e 100%)
Generally the frequency is mathematically represented as
Romney , 621 * 0.21 = 130
Huckabee , 621 * 0.19 = 118
Guiliani , 621 * 0.12 = 75
John McCain 621 * 0.10 = 62
Ron Paul , 621 * 0.04 = 25
Fred Thompson 621 * 0.04 = 25
Duncan Hunter 621 * 0.01 = 6
Tom Tancredo 621 * 0.01 = 6
Undecided votes 621 * 0.28 = 174
So the table is
Voters Relative Frequency Frequency
Romney 0.21 130
Huckabee 0.19 118
Guiliani 0.12 75
John McCain 0.10 62
Ron Paul 0.04 25
Fred Thompson 0.04 25
Duncan Hunter 0.01 6
Tom Tancredo 0.01 6
Undecided votes 0.28 174
Write 23.4571 correct to
4 significant figures
Step-by-step explanation:
23.4571
Sig Figs6
Decimals4
Scientific Notation2.34571 × 101
Words twenty-three point four five seven one
What is the least common multiple of 4 and 12? 4 12 24 D48
Answer:
12
Step-by-step explanation:
Solve-3.5+4.2=?solve
Answer:
Step-by-step explanation:
0.7
-3.5
+ 4.2
______
write an equation of a line through (5,6) and perpendicular to the line through (4,8) and (-2,-18)
need this for test
Answer:
[tex]y-6=-\frac3{13}(x-5)[/tex]
Step-by-step explanation:
Get the slope of the line between the two points. As usual, [tex]m= \frac{\Delta y}{\Delta x}= \frac{8-(-18)}{4-(-2)}=\frac{8+18}{4+2}=\frac{26}{6}=\frac{13}3[/tex]
You want the perpendicular to it, so take it's inverse and change its sign:
[tex]m_p=-\frac3{13}[/tex]
At this point, it's just using the point-slope form, and you're done - unless you're required to provide the line in a specific way, which usually means just crunching numbers and rewriting the equation
[tex]y-y_0=m_p(x-x_0)\\y-6=-\frac3{13}(x-5)[/tex]
Answer:
y=-3/13x+7.15384615385
Step-by-step explanation:
y=mx+b
We want to find the slope first so will find the slope of the line that is perpendicular to our line.
y2-y1/x2-x1
-18-8/-2-4=
-26/-6=
13/3
The slope of the other line is 13/3
To find the slope of our line we can do the opposite reciprocal of 13/3 which is -3/13.
Let's plug that in with the other values to find y-intercept
6=-3/13*5+b
6=-1.15384615385+b
b=7.15384615385
I have no idea why our number is super weird but um yea
Solve 2x + 8 + 5x - 2 = 90
Answer:
x=12
Step-by-step explanation:
Let's solve your equation step-by-step.
2x+8+5x−2=90
Step 1: Simplify both sides of the equation.
2x+8+5x−2=90
2x+8+5x+−2=90
(2x+5x)+(8+−2)=90(Combine Like Terms)
7x+6=90
7x+6=90
Step 2: Subtract 6 from both sides.
7x+6−6=90−6
7x=84
Step 3: Divide both sides by 7.
7x7=847
x=12
hi can youhelp me plese
Drag each expression to show whether it is equivalent to 36x+9 or 9(4x−1).
Answer:
It is not equivalent.
Step-by-step explanation:
9(4x-1) simplifys out to 36x-9.
If h(x) = 2x+3 and g(x) = 3x-2, find the value of goh(5).
Answer:
h(x)=2x+3
g(x)=3x-2
First we will find goh(x) then we will put the value of x i.e 5.
goh(x)= 3(2x+3)-2
goh(x)=6x+9-2
goh(x)=6x+7
Now put the value of x, we get
goh(5)=6(5)+7
We get the answer 37
Step-by-step explanation: