Answer:
a. 32.25
b. 8.825
c. 27.775
d. 89.097
After 2 days, the Johnsons had used
23 tanks of gas. How many tanks of gas
were they using per day?
tanks of gas
The Johnsons were using 11.5 tanks of gas per day.
Explanation:To find out how many tanks of gas the Johnsons were using per day, we need to divide the total tanks used by the number of days. Based on the information given, the Johnsons used 23 tanks in 2 days. So, the tanks of gas used per day can be calculated as:
23 tanks / 2 days = 11.5 tanks of gas per day
You pay $60 for 5 yoga classes. How much is one class?
Answer: 12
Step-by-step explanation:
60 divided by 5 is 12.
Hope this helps!
Answer: $12
Step-by-step explanation:
60/5=12
which expression is equivalent to 5x - 30?
A =. 5(x-30)
b =. 5( x-6)
c =. x(5 - 30
Answer: I believe the answer is B
Step-by-step explanation:
Because 5 times x and then 5 times 6
That will give you 5x-30
(20 POINTS IF RIGHT)
Which table of ordered pairs represents a proportional relationship?
Answer:
the 4th one
Step-by-step explanation:
x increase by 3 and y increase by 12.
ANSWER: the answer would be 4
Step-by-step explanation:
it is (-3,12) (-6,24) (-9,36) i know because it is going by fours and you have a number you can multiply it by or divide it by
Find the missing factor.
6x2 + 13x - 5 = (3x - 1
)
Answer:
(2x+5)
Step-by-step explanation:
What’s number 9? I know the answer
Answer:
9?
Step-by-step explanation:
15-6=9 or 6+_=15 so 6+9=15 and your final answer is,9?
Figure ABCD is rotated by 180 degrees about the origin in the counterclockwise direction to obtain figure A′B′C′D′:
A coordinate grid is labeled from negative 5 to 0 to 5 on both x and y axes at increments of 1. Figure ABCD has A at ordered pair negative 4, negative 2, B at negative 2, negative 3, C at negative 3, negative 4, D at negative 4, negative 4. Figure A prime B prime C prime D prime has A prime at ordered pair 4, 2, A prime at 2, 3, C prime at 3, 4, D prime at 4, 4.
Which statement best compares the lengths of the sides of the two figures?
Length of AB = Length of C′D′
Length of CD = Length of A′B′
Length of CD = Length of B′C′
Length of AB = Length of A′B′
Answer:
Length of AB=Length of A'B' because they are corresponding sides.
you should definetely mark me brainliest ;)
Answer: Length of AB = Length of A′B′
Step-by-step explanation:
Given : Figure ABCD is rotated by 180 degrees about the origin in the counterclockwise direction to obtain figure A′B′C′D′.
We know that a rotation is a rigid motion which does not changes shape and size of the figure.
It means the corresponding side lengths are equal.
Thus , if Figure ABCD is rotated to form A′B′C′D′, then the corresponding sides of both of them are equal.
i.e. Length of AB = Length of A′B′
Length of BC = Length of B′C′
Length of CD = Length of C′D′
Length of DA = Length of D′A′
Hence, the statement best compares the lengths of the sides of the two figures : Length of AB = Length of A′B′
Remy has $14,000 to invest in two mutual funds. One fund pays interest at 4% per year and the other fund pays interest at 7% per year. How much should she invest in each fund if she wants to earn 6.1% interest on the total amount? Add commas where necessary.
The fund is 4200 dollars interest at 4% per year and the other fund is 9800 dollars interest at 7% per year.
What is the simple interest?Simple interest is defined as interest paid on the original principal and calculated with the following formula:
S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100
Remy has $14,000 to invest in two mutual funds.
Let the fund x dollars would be interest at 4% per year and
So the other fund is (14000 - x) dollars interest at 7% per year.
She invests in each fund if she wants to earn 6.1% interest on the total amount.
⇒ (4/100)x + (7/100)(14000 - x ) = (6.1/100)(14000)
⇒ 4x + 7(14000 - x ) = 6.1(14000)
⇒ 4x + 98000 - 7x = 85400
⇒ 3x = 12600
⇒ x = 12600/3
⇒ x = 4200
So the other fund = (14000 - 4200) = 9800
Hence, the fund is 4200 dollars interest at 4% per year and the other fund is 9800 dollars interest at 7% per year.
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Which equation has no solution?
Answer: D
Step-by-step explanation: In order to have no solution, each side must have the same number of the variable. D works out to be 20+6x=6x+16
how do i evaluate (7 to the power of 2)to the power of 3)=7 to the power of 5
Step-by-step explanation:
[tex](7^2)^3=7^5\qquad\bold{FALSE}\\\\\text{because}\\\\7^2=7\cdot7\\\\(7^2)^3=(7\cdot7)^3=(7\cdot7)\cdot(7\cdot7)\cdot(7\cdot7)=\underbrace{7\cdot7\cdot7\cdot7\cdot7\cdot7}_6=7^6\\\\\text{or use}\ (a^n)^m=a^{nm}\\\\(7^2)^3=7^{2\cdot3}=7^6[/tex]
[7^(2)]^(3) = 7^(5)
This is not true.
The left side does not equal the right side.
Left side = 7^(6).
Right side = 7^(5).
False statement.
The ________ is the number that appears most often in a set of data
Answer:
Mode is correct
Step-by-step explanation:
Just did the test
Can anyone please help me with this questions 2-51 “Plot triangle ABC with vertices A(0,0), B(3,4), and C(3,0) on graph paper. Using the origin as the point of dilation, enlarge it by...
Answer:My guess might not be correct, but here it is anyway: On the online math textbook, there's this thing called Homework help. Click on that where this problem and a graph show up on your screen. Click on the hint box, then you'll see an answer box below that. Add up the three side lengths, and you should have your answer. Then, you'll need to to look up on how to calculate an area and perimeter on a triangle. And that's it! Hope this helped Rosa.
Step-by-step explanation:
Which of the binomials below is a factor of this trinomial?
5х2 - 5x - 100
А. х-4
ОВ. x+ 10
ос. x+5
OD. х- 5
Answer: The correct answer is: [D]: " (x - 5) "
__________________________________________________
Step-by-step explanation:
__________________________________________________
First, let's try to "factor out" the given trinomial:
__________________________________________________
" 5x² - 5x - 100 " ;
__________________________________________________
We can "factor out" a "5" ;
since among the three (3) terms in this trinomial,
We have: 5x² , 5x, and 100 ;
Note that not all of these 3 terms have a variable in them;
→ Consider the value; "100" .
Note that the remaining two (2) terms have the same variable, "x" ;
→ 5x² ; and 5x " ;
Note that each of these 2 (two) terms have a coefficient of "5" ;
Note that the other term, "100" ; is divisible "evenly" by "5" ;
→ that is; when the term, "100", is divided by "5" ; the result is an integer; {specially, " 100 ÷ 5 = 20 " .}.
__________________________________________________
So: Let us being by "factoring out" a "5" ;
Given the trinomial: " 5x² - 5x - 100 " ;
→5(x² - 1x - 20) ; or: 5(x² - x - 20) ;
→ At this point, although this trinomial express is not completely
"factored out" ;
__________________________________________________
Let us consider: Do either of these two (2) factors appear among the answer choices given:
1) " 5" ; or: 2) "(x² - x - 20)" ?? No!
__________________________________________________
Let us continue.
We have: 5(x² - x - 20) ;
→ We can write as: " 5 (x² - 1x - 20) " ;
__________________________________________________
Now, let see if we can further "factor out" the:
→ (x² - 1x - 20) ;
Now, note the " -20" ; and the " -1x " ;
→ What two (2) factors of: "-20" ; add up to "-1" ? ;
__________________________________________________
Let us consider the factor of "-20" :
-20, 1 : -20 + 1 = -19 ; -19 =? -1 ? No.
20, -1 : 20 + (-1) = 20 - 1 = 19 ; 19 =? -1 ? No.
10, -2 : 10 + (-2) = 10 - 2 = 8 ; 8 =? -1 ? No.
-10, 2 : -10 + 2 = -8 ; -8 =? -1 ? No.
-4, 5 : - 4 + 5 = 5 + (-4) = 5 - 4 = 1 ; 1 =? -1 ? No.
4, -5 : 4 + (-5) = -5 + 4 = -1 ; -1 =? -1 ? Yes!
__________________________________________________
So, we have +4 and -5 ;
(+4) * (-5) = -20 ;
(+4) + (-5) = -5 + (+4) = -5 + 4 = -1 ;
__________________________________________________
So, we factor out:
→ (x² - 1x - 20) ;
that is: " (x² - x - 20) " ;
into:
__________________________________________________
" (x + 4) (x - 5) " ;
and to factor out: " 5x² - 5x - 100 " ;
we bring down the "5" ; and write as:
→ " 5 (x + 4) (x - 5) " ,
__________________________________________________
So:
We have three (3) factors when the trinomial expression is "factored out":
→ 5 ; (x + 4) ; and: (x - 5) ;
__________________________________________________
→ Among these three factors, the only one that appears as a given answer choice is:
→ " (x - 5) " ;
→ which is our answer:
__________________________________________________
→ Answer choice: [D]: " (x - 5) " .
__________________________________________________
Hope this answer is helpful to you!
Best wishes!
__________________________________________________
Jasmine has 3 3 /8 pounds of turkey meat. She is making 1/3 pound turkey burgers. Does Jasmine have enough meat to make 12 turkey burgers? Explain.
Answer: no
Step-by-step explanation:
She needs a little less than 4 pounds to make 12 turkey burgers because 1/3 times 12 is about 3.99 pounds. But she only has 3 3/8 pounds which is about 3.375 pounds.
Jasmine does not have enough meat to make 12 turkey burgers as she has 3.375 pounds of turkey while 4 pounds of turkey is needed.
What is Unitary method?The unitary method involves the process of finding the value of a single unit and based on this value, we can find the value of the required number of units.
Given is a girl named jasmine who has 3 3/8 pounds of turkey meat. She is making 1/3 pound turkey burgers.
Now -
1 burger requires → 1/3 pounds of turkey
12 burgers will require → 12 x 1/3 → 4 pounds of turkey
Turkey available with Jasmine → 3 3/8 pounds → 3.375 pounds of turkey
Hence, Jasmine does not have enough meat to make 12 burgers.
Therefore, Jasmine does not have enough meat to make 12 turkey burgers as she has 3.375 pounds of turkey while 4 pounds of turkey is needed.
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What is a fixed number in math?
Answer:A fixed value. In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.
Step-by-step explanation:
How many significant figures are there in the following measurements?
a. 78.9 m
b. 3.788 x 10's
c. 2.46 x 106 kg
d. 0.0032 mm
The number of significant figures for each measurement is as follows: 78.9 m has 3 significant figures, 3.788 x 10^5 has 4 significant figures, 2.46 x 10^6 kg has 3 significant figures, and 0.0032 mm has 2 significant figures.
Explanation:To identify the number of significant figures in a measurement, follow these general rules:
All non-zero digits are considered significant.Any zeros between non-zero digits are significant.Leading zeros (zeros before the first non-zero digit) are not significant.Trailing zeros in a number with a decimal point are significant.Applying these rules to the examples provided:
78.9 m - This has 3 significant figures because there are two non-zero digits and one zero between them which is significant.3.788 x 10^5 - Here, there are 4 significant figures. Scientific notation does not affect the number of significant figures, which are determined by the digits in 3.788.2.46 x 10^6 kg - There are 3 significant figures, given by the digits in 2.46.0.0032 mm - This measurement has 2 significant figures. The zeros preceding the 32 are not significant as they are leading zeros.
9. Is the relationship shown by the data linear? If so, model the
data with an equation.
Answer:
D
Step-by-step explanation:
Its C because as you can tell its not a negative , so D is incorrect the its not a because there is a relationship and c is incorrect because Y is less than X which is 2 more than X and that is how i got D
Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes.y=-2/5x+11/5
Answer:
y-intercept (0,11/5)
x-intercept (11/2,0)
Step-by-step explanation:
The y-intercept is obtained when the x-coordinate equals 0 (x=0)
so the y-intercept is (0,11/5)
The x-intercept is obtained when the y-coordinate equals 0 (y=0)
In this case
0 = -(2/5)x+11/5---->(2/5)x = 11/5 ----> x=(5*11)/(5*2) = 11/2
So the x-intercept is (11/2,0)
13
WRITE Mat. How does a digit in the ten thousands place compare
to a digit in the thousands place?
Chapter
So say we have the number: 54,321
The 5 would be worth 50,000 meaning it's in the ten thousands place.
The 4 would be worth 4,000 meaning it's in the thousands place.
.
The difference between them is a zero, so the ten thousands place is 10 times bigger than the thousands place
.
Hope that helps :)
Carol needs to buy 16
apples for apple bobbing. If
each bag contains 4 apples,
how many bags will she
need?
Answer:
She will buy 4 bags of apples, because every bag has 4 apples, and if you divide the number of apples she needs by the number of apples per bag, you will get 4. 16/4=4
Step-by-step explanation:
in your new home, you are planning to completely re-landscape the backyard. the yard is 18 feet long and 20 Feet Wide. a contractor has said that for labor and materials, the cost to re-landscape will be $7 per square foot. how much will the landscaping project cost?
Answer: The Project will Cost _____ Dollars
Answer:
$2520
Step-by-step explanation:
18 times 20 = 360
360 time 7 = 2520
The total cost of the landscaping project for the backyard is found by multiplying the area of the backyard (360 square feet) by the cost per square foot ($7/square foot), which gives a total of $2520.
Explanation:To find the cost of the landscaping project, we first need to calculate the area of the backyard. The area is found by multiplying the length and width of the space. So, the area of the backyard is 18 feet x 20 feet = 360 square feet.
Next, we know that the cost to re-landscape the yard is $7 per square foot. To find the total cost, we multiply the area of the yard by the cost per square foot. So, the total cost will be 360 square feet x $7/square foot = $2520.
Therefore, the total cost of the landscaping project for the backyard is $2520.
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Binh spent 15 game tokens in an amusement park arcade . She won 11 tokens while she was playing the games. If she had no tokens left when she leaves the arcade, how many did she buy while she was playing games? Explain your answer
Answer:she only buy 4 tokens
Step-by-step explanation:
We know that Binh have 15 tokens, and she won 11 tokens. So, she just need buy 4 tokens.
She buys 4 games tokens during playing games.
What is subtraction?To subtract in mathematics is to take something away from a group or a number of objects.
In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.
The group's total number of items decreases or becomes lower when we subtract from it.
Number of tokens she won = 11
Number of tokens she spent= 15
Number of tokens she buy = Number of tokens she spent - Number of tokens she won
Number of tokens she buy = 15 - 11 = 4
Hence "She buys 4 games tokens during playing games".
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Find two consecutive odd integers such that the sum of their squares is 34
Answer:
3 and 5
Step-by-step explanation:
use the guess and check method form the numbers 1, 3, 5 since only the square of these 3 numbers are under 34.
The two sets of consecutive odd integers whose squares sum to 34 are 3 and 5, and -5 and -3.
Explanation:To identify the two consecutive odd integers whose squares sum up to 34, we'll first understand that consecutive odd integers can be represented as x, and x+2 (since every other integer is odd). The squares of these integers should equal 34.
This gives us the equation: x^2 + (x+2)^2 = 34. Simplifying this, we get: x^2 + x^2 + 4x + 4 = 34, 2x^2 + 4x - 30 = 0. This simplifies further to x^2 + 2x - 15 = 0. Factoring this equation gives us (x-3)(x+5) = 0. Therefore, the solutions are x = 3 and x = -5.
Therefore, the two pairs of consecutive odd integers that satisfy the conditions are 3 and 5 or -5 and -3.
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Question
Vartan was paid $25,000 for a cell phone app that he wrote and wants to invest it to save for his son's education. He wants
to put some of the money into a bond that pays 4% annual interest and the rest into stocks that pay 9% annual interest. If
he wants to earn 7.4% annual interest on the total amount, how much money should he invest in each account?
Answer:
The money invested into bond is $8000
The money invested into stocks is $17,000
Step-by-step explanation:
* Lets explain how to solve the problem
- Vartan wants to invest $25,000
- He wants to put some of the money into a bond that pays 4% annual
interest and the rest into stocks that pay 9% annual interest
- He wants to earn 7.4% annual interest on the total amount
- We need to know how much money he should invest in each account
- Assume that he will put $x into the bond that pays 4% annual interest
- He will put the rest into stocks that pay 9%
- The rest = 25,000 - x
∴ The money earns = (4/100)(x) + (9/100)(25,000 - x)
∴ The money earns = 0.04 x + 2250 - 0.09 x
∴ The money earns = 2250 - 0.05 x ⇒ (1)
∵ He wants to earn 7.4% annual interest on the total amount
∵ Total amount is $25,000
∴ The money earns = (7.4/100)(25,000)
∴ The money earns = 1850 ⇒ (2)
- Equate (1) ans (2)
∴ 2250 - 0.05 x = 1850
- Add 0.05 x to both sides
∴ 2250 = 0.05 x + 1850
- Subtract 1850 from both sides
∴ 400 = 0.05 x
- Divide both sides by 0.05
∴ x = 8,000
∴ 25,000 - 8,000 = 17,000
∵ x represents the money invested into the bond
∵ 25,000 - x represents the money invested into the stocks
∴ The money invested into bond is $8000
∴ The money invested into stocks is $17,000
Need it asap plz :).
Answer:
I have no idea what this is sorry bro
Step-by-step explanation:
Answer:
1.9 x 10^6
Step-by-step explanation:
2094800-158975=1935825
move the decimal over 1.9
count how many times 6
1.9 x 10^6
3) Michael, the ice cream man, can make 24 ice cream sandwiches in 1 hour. At this rate, how
many ice cream sandwiches can he make in 4 hours?
Answer:
24 times 4 = 96
Answer: 96 ice cream sandwiches
Step-by-step explanation:
24 ice cream sandwiches equals 1 hour
24 ice cream sandwiches x 4 hours = 96 ice cream sandwiches
Hope this helps!
What is 848 -662 rounded the nearest hundred estimated
Answer: 200
it would be 200 becuase it would orignally be 186 and since it says "rounded the nerest hundred estimated" you would round up in this case and get 200
Good morning☕️
______
Answer:
200
___________________
Step-by-step explanation:
848 - 662 = 186
186 rounded to nearest hundred is 200.
:)
In the diagram, WZ=StartRoot 26 EndRoot. On a coordinate plane, parallelogram W X Y Z is shown. Point W is at (negative 2, 4), point X is at (2, 4), point Y is at (1, negative 1), and point Z is at (negative 3, negative 1). What is the perimeter of parallelogram WXYZ? units units units units
Answer: Last option.
Step-by-step explanation:
Observe the diagram.
The perimeter of the parallelogram will be the sum of the lenghts of its sides. Then:
[tex]P=WX+XY+YZ+WZ[/tex]
You know the lenght of the side WZ. This is:
[tex]WZ=\sqrt{26}\ units[/tex]
Notice that:
[tex]XY=WZ=\sqrt{26}\ units[/tex]
Now, you must find the lenghts of the sides WX and YZ ([tex]WX=YZ[/tex])
Observe that WZ goes from 2 to -2, therefore its lenght is:
[tex]WX=YZ=2-(-2)=4\ units[/tex]
Therefore, substituting values, you get that the perimeter of the paralellogram is:
[tex]P=(4+ \sqrt{26}+4+\sqrt{26})\ units\\\\P=2\sqrt{26} +8\ units[/tex]
Answer:
The correct answer is option D. :)
Step-by-step explanation:
I attached a ss below for proof :D
Hope this helped! Brainliest would be greatly appreciated :P
What is the domain of the function
f(x)= square root of (1/3)x+2?
Answer:
The domain of f(x) = √[(1/3)x +2] is [-6, ∞).
Step-by-step explanation:
GIven f(x) = √[(1/3)x +2], you have to find the values for which the the expression inseide the square will be possitive (for negative values the function is not defined for Reals.
(1/3)x + 2 = 0 ⇒ (1/3)x = -2 ⇒ x = -2/(1/3) ⇒ x = -6
Finally the domain of f(x) is (-6, ∞).
Answer:
✔️ X [tex]\geq[/tex] -6
A pizza is advertised as containing 250 square inches of a pizza. To the nearest inch , what is the diameter of the pizza?
The diameter of a pizza with an area of 250 square inches is approximately 18 inches when calculated using the area formula for a circle and rounded to the nearest inch.
Explanation:To find the diameter of a pizza given its area, we can use the formula for the area of a circle, A = πr², where A is the area and r is the radius of the circle. Given that the area is 250 square inches, we can solve for the radius and then find the diameter, which is twice the radius.
First, we rearrange the formula to solve for the radius: r = √(A/π). Plugging in the given area, we have r = √(250/π). Using π approximately equal to 3.14159, we find r ≈ √(250/3.14159) ≈ √(79.577) ≈ 8.92 inches. Therefore, the radius of the pizza is approximately 8.92 inches.
To find the diameter, we simply multiply the radius by 2: diameter = 2r ≈ 2(8.92) ≈ 17.84 inches. To the nearest inch, the diameter of the pizza is approximately 18 inches.