Answer:
d = - 1
Step-by-step explanation:
The common difference d between consecutive terms is
6 - 7 = 5 - 6 = 4 - 5 = - 1
Answer:
Step-by-step explanation:
At the baseball game, the Gregory's bought 5 hot dogs and 2 hamburgers and paid $27.00. The Hart's purchases 3 hot dogs and 4 hamburgers and paid $29.50. How much does 1 hot dog cost?
Answer:
1 hot dog costs $3.50
Step-by-step explanation:
Represent Hot dog with x and Hamburger with y
Gregory's purchase:
[tex]5x + 2y = 27[/tex] --- (1)
Hart's purchase:
[tex]3x + 4y = 29.5[/tex] ---- (2)
Required
Find x
To do this, we'll make use of the elimination method of solving simultaneous equation.
Start by multiplying (1) by 2
2 * ([tex]5x + 2y = 27[/tex])
This gives:
[tex]10x + 4y = 54[/tex] ---- (3)
Subtract (2) from (3)
[tex]10x + 4y = 54[/tex]
- ([tex]3x + 4y = 29.5[/tex])
-------------------------
[tex]7x = 24.5[/tex]
Solve for x
[tex]x = \frac{24.5}{7}[/tex]
[tex]x = 3.5[/tex]
Hence:
1 hot dog costs $3.50
fill in the blanks.
1.
principal: $500
rate: 4.5%
time: ? years
interest earned: $112.50
new balance: ?
2.
principal: ?
rate: 8%
time: 2 years
interest earned: $108.00
new balance: ?
Answer:
One way of awarding interest is called simple interest. Before we provide the formula used in calculating simple interest, let’s first define some basic terms.
Balance. The balance is the current amount in an account or the current amount owed on a loan.
Principal. The principal is the initial amount invested or borrowed.
Rate. This is the interest rate, usually given as a percent per year.
Time. This is the time duration of the loan or investment. If the interest rate is per year, then the time must be measured in years.
To calculate the simple interest on an account or loan, use the following formula.
Simple Interest
Simple interest is calculated with the formula
I=Prt,
where I is the interest, P is the principal, r is the interest rate, and t is the time.
Step-by-step explanation:
One way of awarding interest is called simple interest. Before we provide the formula used in calculating simple interest, let’s first define some basic terms.
Balance. The balance is the current amount in an account or the current amount owed on a loan.
Principal. The principal is the initial amount invested or borrowed.
Rate. This is the interest rate, usually given as a percent per year.
Time. This is the time duration of the loan or investment. If the interest rate is per year, then the time must be measured in years.
To calculate the simple interest on an account or loan, use the following formula.
Simple Interest
Simple interest is calculated with the formula
I=Prt,
where I is the interest, P is the principal, r is the interest rate, and t is the time.
consider function f and g
9514 1404 393
Answer:
B. 9
Step-by-step explanation:
This is probably most easily evaluated by finding f(4) and then g(f(4)).
[tex](g\circ f)(4)=g(f(4))=g(-4^3)=g(-64)\\\\=\left|\\\dfrac{1}{8}\cdot(-64)-1\right|=\left|-\dfrac{64}{8}-1\right|=|-9|\\\\\boxed{(g\circ f)(4)=9}\qquad\textbf{matches B}[/tex]
2, 2, 2, 3, 4, 4, 11
What is the median of the seven data values shown?
Answer:
Median is 3
Step-by-step explanation:
Which of the following ratios is
not equivalent to the other three?
A 2/3 B 4/5
C 4 to 6 D 8 to 12
Answer:
B: 4/5
Step-by-step explanation:
Here, we simply go on to express the ratios of each of the options in its smallest form
2/3 is already in it’s smallest form
4/5 cannot be divided further
4/6 is same as 2/3
8/12 is same as 2/3
a copy machine can copy a report in 30 min. when a second copy machine is used at the same time, the copying can be done in 18 min. how long would it take the second copy machine to do the copying alone?
Answer:
Step-by-step explanation:
A copy machine can copy a report in 30 mins. When a second copy machine is used at the same time, the copying can be sone in 18 min. How long would it take the second copu machine to do the copying alone?
i have:
x=30
x+y=18
that would be -12..not right?
The time taken that it take the second copy machine to do the copying alone should be considered as the 11.25 minutes.
Calculation of the time taken:Let we assume x be the time required at the time when using both machines.
Let us assume the completed job = 1
we know that
copy machine 1 will do [tex]x/30[/tex] of the job
and
copy machine 2 will do [tex]x/18[/tex] of the job
So, it can be like
[tex]\frac{x}{30} + \frac{x}{18} = 1[/tex]
So,
18x + 30x = 540
48x = 540
x = 11.25 minutes
hence, The time taken that it take the second copy machine to do the copying alone should be considered as the 11.25 minutes.
Learn more about time here: https://brainly.com/question/24388291
Patrick spent 8 minutes on the phone while routing 2 phone calls. If he routes 4 phone calls, how much time will Patrick have spent on the phone in total? Assume the relationship is directly proportional.
? minutes
Answer:
16
Step-by-step explanation:
8 divided by 2= 4
4 multiplied by 4= 16
Answer:
16
Step-by-step explanation:
if 4 pounds of potatoes is 3 dollars, how many dollars is 1 pound of potatoes?
Answer: $1.33
Step-by-step explanation:
4 divided by 3
can some one help me on this and thank u
Answer:
2<x<3
Step-by-step explanation:
the first one
Please help!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
4 z ^3 √ y / x ^2 y
Cookies are sold in the lunchroom for 1.50. Ana wants to buy cookies for a group of her friends. If she has 20 dollars,which inequality can be solved to show the number of cookies she can buy?
What is another way to write the equation
Answer:
the 2nd one
Step-by-step explanation:
all the other ones don't make 6
Some doctors recommend that men drink 3 liters of water every day. There are approximately 33.814fluid ounces in 1 liter. Which measurement is closest to the number of fluid ounces in 3 liters?
plz hurry good review in exchange
Answer:
101 fl oz
Step-by-step explanation:
Answer:
101fl
Step-by-step explanation:
If asked to multiply 18 by 100 quicky, what is the short cut?
Answer: 18 x 100 = 1,800
Step-by-step explanation:
You take the 100 and you remove the 2 zeros and put them at the back of 18 to get your answer.
Pls answer first one to get it right and show work will get brainliest thanks :3
Answer:
x=−12/5
Step-by-step explanation:
2(1.5x−2)=−0.5(−4x−32)
Step 1: Simplify both sides of the equation.
−2(1.5x−2)=−0.5(−4x−32)
(−2)(1.5x)+(−2)(−2)=(−0.5)(−4x)+(−0.5)(−32)(Distribute)
−3x+4=2x+16
Step 2: Subtract 2x from both sides.
−3x+4−2x=2x+16−2x
−5x+4=16
Step 3: Subtract 4 from both sides.
−5x+4−4=16−4
−5x=12
Step 4: Divide both sides by -5.
−5x−5
=12/−5
x=−12/5
A human bone is made up of water 1/4 and 9/20 minerals, and the rest is living tissue. What decimal represents the amount of a human bone that is living tissue?
Answer:
0.3
Step-by-step explanation:
First you need to add 1/4 and 9/20, and you would get 7/10. That only leaves 3/10, which as a decimal is 0.3.
The decimal that represents the amount of a human bone that is living tissue is 0.3
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are given that human bone is made up of water 1/4 and 9/20 minerals, and the rest is living tissue.
First we need to add 1/4 and 9/20,
Thus we would get 7/10.
That only leaves 3/10, which as a decimal is 0.3.
The decimal that represents the amount of a human bone that is living tissue is 0.3
Learn more about multiplications;
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Pls answer I need help
Answer:
it would be 8\9 if you divide
Step-by-step explanation:
Witch one is a better buy
Answer
8 cans for 9$
MY EXPLANATION...
You get more cans while paying less. You can go for the 6 for 7$ but the better one is the 8 cans. If you add up the 6 for 7$ to the same amount of the 8 cans, you get the same thing. So BOOM! *mic drop*
A point on a horizontal line has the coordinate (-2,6). What other point would be on this line?
a) (-2,5)
b) (0,6)
c) (2,6)
d) (3,-6)
Answer:
A
Step-by-step explanation:
Since the Line Horizontal all coordinates when x=-2 are correct.
How many solutions does the equation x + 3x = 4x + 1
have?
Answer:
0 solutions
Step-by-step explanation:
4x=4x+1
Answer:
Step-by-step explanation:
△. 1 ... And Now, consider the area of the entire triangle(ADG) = 1/2(AG x DG) = 1/2(3EC x ... The prompt tells us that AB=BC=CD, so AD is 3*CD, so we have DC/DE=3*DC/DG. ... Mar 6, 2019 • Reply. △. 4. Suzanne ashcraft.
Jayana is trying to run a certain number of miles by the end of the month. If Jayana is 30% of the way to achieving her goal and she has already run 9 miles, how many miles is she trying to run by the end of the month?
Use the graph below to answer questions 1 and 2.
Answer:
x-intercept is x = -4; y-intercept is y = -2
Step-by-step explanation:
1.
The zero or x-intercept is when the line touches the x-axis or horizontal line axis or is when y = 0.
x = -4
2.
The y-intercept is when the line touches the y-axis or vertical line axis or is when x = 0.
y = -2
Which equation does not represent a direct variation? Explain.
Answer:
y = 3x + 2
Step-by-step explanation:
"When x is zero in a direct variation equation y will also be zero. ... Equations of the form y = kx + b where b is a number other than zero are not direct variation equations because when x is zero in any of these y is not zero. Normally direct variation equations are written as y = k•x or just y = kx."
in short, y = 3x + 2 can't be turned into y = kx
you could also immediately tell it's y = 3x + 2 because it includes + 2
In 1906, San Francisco felt the impact of an earthquake with a magnitude of 7.8. Many pundits claim that the worst is yet to come, with an earthquake 133,680 times as intense as the 1989 earthquake ready to hit San Francisco. If the pundits ability to predict such earthquakes were correct, what would be the magnitude of their claimed earthquake? Round your answer to the nearest tenth.
Answer:
Magnitude of claimed earthquake = 10.363 (Approx)
Step-by-step explanation:
Magnitude of claimed earthquake = log√133,680 + 7.8
Magnitude of claimed earthquake = [1/2] log 133,680 + 7.8
Magnitude of claimed earthquake = 2.563 + 7.8
Magnitude of claimed earthquake = 10.363 (Approx)
Answer: ITS A MAGNITUDE 10 EARTHQUAKE 10.363 PERCICELY
When p = 12, t= 2, and s = 5. r = 18. If r varies directly with p and inversely with the product of s and t, what is the constant of variation? O col 1 2 O O 18
Answer:
Constant of variation is: 15
Step-by-step explanation:
r varies directly with p and inversely with the product of s and t
It can be written as:
r ∝ p/st
When the proportionality symbol is removed, a constant is introduced which is called constant of variation
So
[tex]r = \frac{kp}{st}[/tex]
Putting p = 12, t= 2, and s = 5 and r = 18
[tex]18 = \frac{k * 12}{2*5}\\18 = \frac{12k}{10}\\12k = 18*10\\12k = 180\\\frac{12k}{12} = \frac{180}{12}\\k = 15[/tex]
Hence,
Constant of variation is: 15
Evaluate the expression. 7 + 8 x 4 - 6 ÷ 2
Answer:
36
Step-by-step explanation:
PEMDAS
7+(8)(4)-6/2
Answer:
36
Step-by-step explanation:
7+ 8 * 4-6/ 2
7 + 8( 8*4) - (6/2)
Multiple: 8 * 4 = 32
Add: = 7 + 32 = 39
Divide: 6 / 2 = 3
Subtract: 39 - 3 = 36
I’m please help asap due soon
Answer all the questions for a bunch of points, no scam answers please
Step-by-step explanation:
hold up bro. this doesn't even say what u actualy have to do . or is just so blurry
Select all simplified expressions of 3^4 divided by 3^9
Juan needs to simplify the fraction LaTeX: \frac{32}{52}32 52. He will need to divide the numerator and the denominator by the greatest common factor. What is the greatest common factor of 32 and 52?
Answer:
4Step-by-step explanation:
Given the expression, 32/52
Juan need to divide the numerator and the denominator by the greatest common factor
For 32;
32 = 8 * 4
For 53
52 = 13 * 4
Find the ratio
32/52 = (8*4)/(13*4)
32/52 = 8/13
Since 4 is common to both factors, Hence the greatest common factor is 4