Answer:
D
Step-by-step explanation:
4/6 reduced is d
If one gallon of gas costs $3.50 how much would 3,5, and 7 gallons cost?
Explain how you can use multiplication to find the quotient 3/5 ÷ 3/15 then evaluate
To divide two fractions, multiply them by their reciprocals.
3/5 / 3/15
3/5 * 15/3
45/15
3
Kieran has $45.00 to purchase supplies to paint the top of a square wooden platform for the school play. The paint roller costs $9.75, and the paint is $17.00 per can. If one can of paint covers approximately 375 square feet, what is the maximum possible length, in feet, of
one side of the wooden platform to the nearest tenth of a foot?
F. 27.3
G. 27.4
H. 27.5
J. 28.0
K. 28.1
Answer:
Option G. 27.4 ft
Step-by-step explanation:
step 1
Calculate the maximum number of cans of paint Kieran can buy with $45
Let
x -----> the number of cans of paint
we know that
The number of cans of paints multiplied by it cost plus the cost of a rooler paint must be less than or equal to $45
so
[tex]9.75+17.00x \leq 45[/tex]
Solve the inequality for x
Subtract 9.75 both sides
[tex]17.00x \leq 45-9.75[/tex]
[tex]17.00x \leq 35.25[/tex]
Divide by 17 both sides
[tex]x \leq 2.07\ cans[/tex]
so
The maximum number of cans that Kieran can purchase is 2 cans
step 2
Find the maximum area covered with 2 cans of paint
we know that
One can of paint covers approximately 375 square feet
therefore
To find out the area covered with 2 cans multiply 375 by 2
[tex]375(2)=750\ ft^2[/tex]
step 3
Find the maximum possible length side of the wooden platform
we know that
The wooden platform is in the shape of a square
so
The area of a square is
[tex]A=b^{2}[/tex]
where
b is the length side of the square
we have
[tex]A=750\ ft^2[/tex]
substitute and solve for b
[tex]750=b^{2}[/tex]
square root both sides
[tex]b=27.4\ ft[/tex]
PLEASE ANSWER BOTH ASAP THANKS
Answer:
a and c
Step-by-step explanation:
Hey!
-----------------------------------------------
Question #3:
The associative property is where you have an equation and you can switch the numbers and it will still equal the same.
Answer: c) (x + 3) + 7 = x + (3 + 7)
-----------------------------------------------
Question #4:
The distributive property is where you have an equation and you multiply each addend and add them up.
Answer: c) distributive
-----------------------------------------------
Hope This Helped! Good Luck!
Write the equation of a line that is parallel to y = –
2 + 7 and that passes through the point (-4,1)
Answer:
y = -2x -7
Step-by-step explanation:
Plug in and Solve.
Write a subtraction problem involving two positive integers with a negative difference. Explain the relationship between the two integers that must exist for the difference to be negative.
Answer:
When both integers have the same value, the difference is zero. The difference between a positive and a negative integer can be positive or negative. When you subtract a negative integer from a positive integer, the difference is always positive this might help
Step-by-step explanation:
Write a subtraction problem involving two positive integers with a negative difference.
1) When you subtract a positive integer from a negative integer, the difference is always negative.
For example : [tex]-7 - 3 = -10[/tex]
2) When you subtract a larger positive integer from a smaller integer, the difference is always negative.
For example : [tex]5-7=-2[/tex]
3) When you subtract two negative integers and the first integer (or minuend) is smaller than the second integer (or subtrahend), the difference is negative.
For example : [tex]-8 - (-2) = -6[/tex]
Can u simplify
Radical 18?
Answer:
You can!
It's 2\sqrt{3\\
Step-by-step explanation:
18 = 2*9
\sqrt{18} = 2\sqrt{3\\
What is the value of n in the equation –negative StartFraction one-half EndFraction left-parenthesis 2 n plus 4 right-parenthesis plus 6 equals negative 9 plus 4 left parenthesis 2 n plus 1 right-parenthesis.(2n + 4) + 6 = –9 + 4(2n + 1)? n =
The value of n in the equation is 1
Step-by-step explanation:
The equation is [tex]-\frac{1}{2}[/tex] (2n + 4) + 6 = -9 + 4(2n + 1)
At first we must do that:
1. Open the brackets in both sides
2. Add like terms
3. Solve to find n
L.H.S:
∵ [tex]-\frac{1}{2}[/tex] (2n + 4) + 6 = -n - 2 + 6
∴ [tex]-\frac{1}{2}[/tex] (2n + 4) + 6 = -n + 4
R.H.S:
∵ -9 + 4(2n + 1) = -9 + 8n + 4
∴ -9 + 4(2n + 1) = 8n - 5
∴ -n + 4 = 8n - 5
- Add 5 to both sides
∴ -n + 9 = 8n
- Add n to both sides
∴ 9 = 9n
- Divide both sides by 9
∴ n = 1
The value of n in the equation is 1
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ANSWER : The number one
Step-by-step explanation:
got it right
Evaluate 3{5+3[10+4•8]}
Answer: 393
I answered on monarch and it came out right.
Complete each family of facts.
5 5 10
Answer:
1,5
1,5 and
1,2,5,10
Step-by-step explanation:
13/16 as a decimal rounded to the nearest tenth
The decimal equivalent of the fraction 13/16 is 0.8125. However, when you round this to the nearest tenth as the question specifies, you get 0.8.
Explanation:To find the decimal equivalent of the fraction 13/16, you firstly divide 13 by 16. This will provide you with a decimal number. Then, since the question asks for the decimal to be rounded to the nearest tenth, you round the decimal number. To round, if the number on right of decimal is 5 or more, round up; if it's less than 5, round down. So 13 divided by 16 equals 0.8125, which when rounded to the nearest tenth gives you a result of 0.8.
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13/16 as a decimal rounded to the nearest tenth is 0.8.
To convert the fraction 13/16 to a decimal and round it to the nearest tenth, we can follow these steps:
First, divide 13 by 16. When you do this, you get 0.8125 because 13 ÷ 16 = 0.8125.Next, we round 0.8125 to the nearest tenth. To do this, look at the hundredths place (which is the second digit after the decimal point). Here, it’s 1. Since this digit is less than 5, we round down, keeping the tenths place the same.Therefore, 0.8125 rounded to the nearest tenth is 0.8.
Manuel took 2 2/5
hours to clean the den. He took 1 1/3
hours to clean the bathroom. How much longer did it take Manuelt
clean the den?
It took Manuel approximately 1.07 hours longer to clean the den compared to the bathroom. This was calculated by converting the mixed numbers to improper fractions and subtracting.
Explanation:In this problem, we are comparing the time it took Manuel to clean the den and bathroom. To do this, we need to subtract. Firstly, you need to convert the mixed numbers, 2 2/5 hours and 1 1/3 hours, into improper fractions for ease. This would be 12/5 hours and 4/3 hours respectively. Now we subtract 4/3 from 12/5. You can use the least common denominator (LCD) to make this easier: 12/5 (which is 2.4 in decimal) minus 4/3 (which is 1.33 in decimal) equals approximately 1.07 hours. It means Manuel took 1.07 hours(approximately) longer to clean the den compared to the bathroom.
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What is 2 divided 5 over 7
Answer:
0.05714285714
Step-by-step explanation:
given:
2 divided 5 over 7
(2/5)/7
decimal value of 2/5 is 0.4
0.4/7=4/70=0.05714285714
Find the nth term of this number sequence
1, 10, 19, 28, ...
Pls help
Answer:
9n - 8
Step-by-step explanation:
The sequence is arithmetic since the difference between consecutive terms is common
d = 10 - 1 = 19 - 10 = 28 - 19 = 9
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 1 and d = 9, thus
[tex]a_{n}[/tex] = 1 + 9(n - 1) = 1 + 9n - 9 = 9n - 8, hence
[tex]a_{n}[/tex] = 9n - 8
We are required to find the nth term of the sequence 1, 10, 19, 28,....
The nth term of the sequence 1, 10, 19, 28, is 9n - 8
Given:
1, 10, 19, 28,
First term, a = 1
Common difference, d = difference between consecutive terms
10 - 1 = 9
19 - 10 = 9
28 - 19 = 9
nth term = a + (n - 1)d
nth term = 1 + (n - 1)9
= 1 + 9n - 9
= 9n - 8
Therefore, nth term of the sequence 1, 10, 19, 28, is 9n - 8
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Evaluate the expression when
a=7 and x = -6
a - 2x
Answer:
19
Step-by-step explanation:
7-2(-6) which would equal 7+12 because negative times negative is positive
Answer: 19
Step-by-step explanation:
7 + [(- 2) (-6)]
-2 * -6 = 12
7 + 12 = 19
82/3=
a 4
b 8
c 16√2
C: 16√2 is the best choice for your question since 82/3 = about 27 and 16√2 = about 27 too, meaning that the answer that got rounded is C.
Hope this helped!
Nate
Suppose 0 is an angle in the standard position whose terminal side is in Quadrant 1 and sin 0= 84/85. Find the exact values of the five remaining trigonometric functions of 0
Answer:
Part 1) [tex]cos(\theta)=(\frac{13}{85})[/tex]
Part 2) [tex]tan(\theta)=\frac{84}{13}[/tex]
Part 3) [tex]cot(\theta)=\frac{13}{84}[/tex]
Part 4) [tex]sec(\theta)=\frac{85}{13}[/tex]
Part 5) [tex]csc(\theta)=\frac{85}{84}[/tex]
Step-by-step explanation:
we know that
Angle [tex]\theta[/tex] lie on Quadrant I
so
[tex]sin(\theta)[/tex] is positive
[tex]cos(\theta)[/tex] is positive
[tex]tan(\theta)[/tex] is positive
[tex]cot(\theta)[/tex] is positive
[tex]sec(\theta)[/tex] is positive
[tex]csc(\theta)[/tex] is positive
step 1
Find the value of [tex]cos(\theta)[/tex]
we have
[tex]sin(\theta)=\frac{84}{85}[/tex]
we know that
[tex]sin^2(\theta)+cos^2(\theta)=1[/tex]
substitute
[tex](\frac{84}{85})^2+cos^2(\theta)=1[/tex]
[tex](\frac{7,056}{7,225})+cos^2(\theta)=1[/tex]
[tex]cos^2(\theta)=1-(\frac{7,056}{7,225})[/tex]
[tex]cos^2(\theta)=(\frac{169}{7,225})[/tex]
[tex]cos(\theta)=(\frac{13}{85})[/tex]
step 2
Find the value of [tex]tan(\theta)[/tex]
we know that
[tex]tan(\theta)=\frac{sin(\theta)}{cos(\theta)}[/tex]
we have
[tex]sin(\theta)=\frac{84}{85}[/tex]
[tex]cos(\theta)=(\frac{13}{85})[/tex]
substitute
[tex]tan(\theta)=\frac{(84/85)}{(13/85)}[/tex]
[tex]tan(\theta)=\frac{84}{13}[/tex]
step 3
Find the value of [tex]cot(\theta)[/tex]
we know that
[tex]cot(\theta)=\frac{1}{tan(\theta)}[/tex]
we have
[tex]tan(\theta)=\frac{84}{13}[/tex]
therefore
[tex]cot(\theta)=\frac{13}{84}[/tex]
step 4
Find the value of [tex]sec(\theta)[/tex]
we know that
[tex]sec(\theta)=\frac{1}{cos(\theta)}[/tex]
we have
[tex]cos(\theta)=(\frac{13}{85})[/tex]
therefore
[tex]sec(\theta)=\frac{85}{13}[/tex]
step 5
Find the value of [tex]csc(\theta)[/tex]
we know that
[tex]csc(\theta)=\frac{1}{sin(\theta)}[/tex]
we have
[tex]sin(\theta)=\frac{84}{85}[/tex]
therefore
[tex]csc(\theta)=\frac{85}{84}[/tex]
Connor is stuck in a traffic jam on a single-lane road. The traffic report tells him the traffic jam stretches for 5.5 miles. If Connor assumes each car is about 12.5 feet long, which calculation is most reasonable for Connor to use to find about how many cars are stuck in the traffic jam?
Connor can reasonably estimate that about 2323 cars are stuck in the traffic jam.
To find about how many cars are stuck in the traffic jam, Connor can divide the total length of the traffic jam by the length of each car.
Given:
- Length of traffic jam: 5.5 miles
- Length of each car: 12.5 feet
First, let's convert the length of the traffic jam from miles to feet since the length of each car is given in feet.
1 mile = 5280 feet
So, the length of the traffic jam in feet is:
[tex]\[ 5.5 \text{ miles} \times 5280 \text{ feet/mile} = 29040 \text{ feet} \][/tex]
Now, Connor can divide the total length of the traffic jam by the length of each car to find about how many cars are stuck:
[tex]\[ \frac{29040 \text{ feet}}{12.5 \text{ feet/car}} \approx 2323 \text{ cars} \][/tex]
As a smart consumer, you are always on the lookout for sales, coupons, and rebates. While shopping for new clothes, you notice that one particular brand of shirts is on sale for 20% off the original price. You also have a coupon for $10 off a $40 purchase. Coupons are applied after the 20% discount is taken. If each shirt originally costs $17.99, how many shirts would you need to buy to be able to use your coupon? Show your work
You’d have to buy 3 shirts, with the 20% off the shirts would come out to $14.39. So $14.39 x 3 = $43.17. Now with the $10 off a $40 purchase your total cost would be $33.17.
Answer:
You'd have to buy 3 shirts in order to use your coupon.
Step-by-step explanation:
Each shirt originally costs $17.99
One particular brand of shirts is on sale for 20% off the original price.
$17.99*0.2= $3.60 (amount taken off for each shirt)
Now subtract $3.60 from $17.99.
$17.99 - $3.60 = $14.39 (per shirt)
40 / 14.39 = 2.779 (round to 3)
You'd have to buy 3 shirts in order to use your coupon.
$14.39 * 3 = $43.17, in order to get $10 off you'd need to spend at least $40
Marcie is playing a board game with a friend. She needs 20 points to win. She currently has -10 points. She wants to know the difference between the number of points she needs
Marcie needs 30 more points. 20-30=(-10)
5z ^ 3 - 2z ^ 4 - 9z ^ 2 + z What is the degree of the polynomial ?
Answer:
Step-by-step explanation:
For any polynomial, we can determine the degree by finding the variable with the largest exponent. For the given polynomial:
[tex]5z^{3} - 2z^{4} -9z^{2} + z[/tex]
we can see that [tex]-2z^{4}[/tex] contains the variable with the highest exponent, 4, so the degree of this polynomial is 4.
Answer:
4
Step-by-step explanation:
khan academy help
Please I need help with 16-17
Answer:
first answer- zero point zero fourty nine thousdanths
Step-by-step explanation:
how did you solve it and explain and what is the answer
Answer:
should be 3x^3+4 because all other choices don't make sense
Answer:
B
Step-by-step explanation:
(3x^2+4)*(x+1)
(3x^2+4)*x+(3x^2+1)*1
3x^3+4x+3x^2+1
3x^3+3x^2+4x+1
If 120 million roses were sold on Valentine's Day, and 75% of the roses were red, how
many red roses were sold on Valentine's Day? Show your work.
Answer:
1,600,000
Step-by-step explanation:
120,000,000 divided by 75 is 1,600,000
Answer:
did the math its 90,000,000
thats how much 75% is
Step-by-step explanation:
Which of the following appear in the diagram below?
Check all that apply.
A. ZXYZ
B.
c. W
D. ZYXZ
The following is true in the diagram below:
∠XYZ
∠XYW
∠ZYW
[tex]\bar{YX}, \bar{YW}, \bar{YZ}[/tex]
Options A, B, and D are correct.
What is an angle?The angles between two lines are the angles formed by two intersecting lines, measured in degrees or radians.
Several different types of angles can be formed between two lines, including acute angles, right angles, and obtuse angles.
We have,
From the diagram,
There are 3 angles:
∠XYZ
∠XYW
∠ZYW
And,
In geometry, a line that has a starting point and no endpoint is called a ray. A ray is part of a line that starts at a particular point called the endpoint and extends infinitely in one direction.
It is also sometimes referred to as a half-line.
Rays are commonly denoted by an arrow pointing in the direction of the infinite extension, with the endpoint letter given first.
There are 3 rays:
YX, YW, and YZ
Thus,
The following is true:
∠XYZ
∠XYW
∠ZYW
[tex]\bar{YX}, \bar{YW}, \bar{YZ}[/tex]
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Solve —2|5w – 7 |+9=-7
10 POINTS
Find the distance between the points -6.4 and -9.2.
Show your work plz so I can understand it more
A model of a baseball diamond is a square
with a perimeter of 36 in. What is the length
on the model from first base to third base?
(round to the nearest whole number)
There are 13 chickens and 9 roosters. What is the
ratio of chickens to roosters in lowest terms?
Answer:
13/9 or 1 4/9
Step-by-step explanation:
Draw a visual model to represent the following expectation: 5/6 divide by 3
Check the picture below.