Evaluate.
2^−2⋅(12⋅3)−5^3
Enter your answer in the box.
If ^ was meant to be multiplication, the answer would be -159.
Answer:
The Answer is: -116
(sorry I'm 3 years late...)
Step-by-step explanation:
Can someone please help me
1. Express the ratio in three different ways (grey and white)
-[tex]\frac{2}{5}[/tex]
-[tex]2[/tex] to [tex]5[/tex]
-[tex]2:5[/tex]
2. *(Integer)* *(Opposite)* *(Absolute Value)*
3 -3 3
-4 4 4
8 -8 8
3. Write an expression to represent:
- "A number n divided by 6" = [tex]\frac{n}{6}[/tex] or [tex]n[/tex]÷[tex]6[/tex]
4. Solve. Show your work.
- [tex]27.9+212.5=240.4[/tex]
- [tex]175.5-12.7=162.8[/tex]
5. Shade the blocks
- [tex]975[/tex]÷[tex]6=162.5[/tex]
- [tex]478[/tex]·[tex]38=18,164[/tex]
1. 4 shirt for 32.00
- Rate: [tex]x[/tex]·[tex]32[/tex] This rule only happens if there are 4 shirts.
- Unit Rate: [tex]\frac{32}{4}=8[/tex] It cost $8 for every shirt is bought
2. Write every form from illustration.
- Fraction: [tex]\frac{30}{100}=\frac{3}{10}[/tex]
- Decimal: [tex]0.3[/tex]
- Ratio: [tex]30:100[/tex] or [tex]3:10[/tex]
- Percentage: [tex]30[/tex]%
3. What is 50% of 80?
- Your answer is correct
4. Ken grew [tex]\frac{4}{5}[/tex] of an inch last year. Sang grew [tex]\frac{3}{8}[/tex] of an inch. Who grew more and by how much?
- Your answer is correct
5. Complete the table and then graph the coordinates.
- Attachment for this question
What is the equation of the circle shown in the graph?
(x – 3)2 + y2 = 4
(x + 3)² + y² = 2
x² + (y + 3)² = 4
x² + (y – 3)² = 2
The answer is C
Answer:
c is correct thank you
Step-by-step explanation:
got it correct on edg.
The equation of the circle shown in the graph will be (x - 3)² + (y)² = 4
How to calculate the equation of a circleThe standard equation of a circle is given as:
(x - a)² + (y- b)² = r²
where:
(a, b) is the centre
r is the radius of the circle
Assume the centre of the circle is (3, 0) and the radius of 2
Substitute to have:
(x - 3)² + (y-0)² = 2²
(x - 3)² + (y)² = 4
Hence the equation of the circle shown in the graph will be (x - 3)² + (y)² = 4
Learn more on equation of a circle here: https://brainly.com/question/1320758
Help Urgent!
Simplify 1 · x - x/1 .
0
1
x
1·x-x/1 1·x=x
=x-x/1 x/1=x
=x-x
=0
1·x-x/1=0
Answer:
Your answer is 0
Step-by-step explanation:
1 times x and x/1 are the reciprocals of each other and when something is multiplied by its reciprocal the product is always 0
Jacob drew a regression line for this paired data set
His line passed through (2,10) and (7,18)
What is the equation of Jacobs regression line?
A)y=6.8x+1.6
B)y=1.375x+4.25
C)y=0.625x-4.25
D)y=1.6+6.8
Answer: [tex]y=1.6x+6.8[/tex]
Step-by-step explanation:
1. The equation of a regression line has the following form:
[tex]y=mx+b[/tex]
Where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
2. You need to calculate the slope with the points given in the exercise:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
3. Substitute values:
[tex]m=\frac{18-10}{7-2}[/tex]
[tex]m=\frac{8}{5}=1.6[/tex]
4. Now, you must calculate [tex]b[/tex]:
-Substitute the value of the slope into the equation above.
- Take one of the given points and substitute them into the equation.
Then:
[tex]y=mx+b\\10=(1.6)(2)+b\\b=10-3.2\\b=6.8[/tex]
5. Therefore, the equation is:
[tex]y=1.6x+6.8[/tex]
A hybrid car gets 45 miles per gallon. At that rate, how much gas would it take to travel across country, a distance of about 2600 miles
To travel 2600 miles in a hybrid car with a fuel efficiency of 45 mpg, it would require approximately 57.78 gallons of gas.
To calculate the amount of gas needed for a hybrid car to travel 2600 miles with a fuel efficiency of 45 miles per gallon (mpg), you can use the formula:
Divide the total distance by the fuel efficiency: 2600 miles \/ 45 mpg.This gives the total gallons of gas needed: ~57.78 gallons.So, it would take approximately 57.78 gallons of gas to travel across the country in a hybrid car with a fuel efficiency of 45 mpg.
marcus's favorite casserole recipe requires 3 eggs and makes 6 servings. Marcus will modify the recipe by using 5 eggs and increasing all other ingridients in the recipe proportionally. what is the total number of servings the modified recipe will make?
The modified recipe will make a total of 10 servings.
what is the total number of servings the modified recipe will make?Since Marcus is using 5 eggs in the modified recipe instead of 3, we can calculate the ratio as follows:
Ratio = (Number of eggs in modified recipe) / (Number of eggs in original recipe)
Ratio = 5 eggs / 3 eggs
Next, we need to apply this ratio to the number of servings in the original recipe. Since all other ingredients are being increased proportionally, the number of servings will change accordingly.
Total Servings in Modified Recipe = (Number of servings in original recipe) * Ratio
Given that the original recipe makes 6 servings, we can substitute the values:
Total Servings in Modified Recipe = 6 servings * (5 eggs / 3 eggs)
Total Servings in Modified Recipe = 6 * (5/3)
Total Servings in Modified Recipe = 10
Therefore, the modified recipe will make a total of 10 servings.
Learn more about Ratio at https://brainly.com/question/12024093
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What is the justification for each step in the solution of the equation?
1.) 5x-4/2 = 2x-1
2.) 5x-4 = 2(2x-1)
3.) 5x-4 = 4x - 2
4.) 5x = 4x+2
5.) x = 2
Step 1 : (5x-4)/2 = 2x-1 [Given]
Step 2 : ((5x-4)/2) × 2 = 2 × (2x-1) [Multiplicative Property of Equality i.e. by multiplying both sides of the equation by same number]
Step 3 : (5x-4) = 4x-2 [By Distributive Property]
Step 4 : 5x - 4 + 4 = 4x - 2 + 4 [By addition property of equality i.e. by adding both sides of the equation by same number]
⇒ 5x = 4x + 2
Step 5 : 5x - 4x = 4x + 2 - 4x [By subtraction property of equality i.e. by subtracting both sides of the equation by same number]
⇒ x = 2
Answer:
Step 1 : (5x-4)/2 = 2x-1 {Given}
__________________________________________________________
Step 2 : ((5x-4)/2) × 2 = 2 × (2x-1) {Multiplicative Property}
__________________________________________________________
Step 3 : (5x-4) = 4x-2 {Distributive Property}
__________________________________________________________
Step 4 : 5x - 4 + 4 = 4x - 2 + 4 {Addition property}
5x = 4x + 2
__________________________________________________________
Step 5 : 5x - 4x = 4x + 2 - 4x {Subtraction property}
x = 2
idk if this is right.. but im gonna ask it anyway. whats 4÷202?
The Fall Festival charges $0.75 per ticket for the rides. Kendall bought 18 tickets for rides and spent a total of $33.50 at the festival. She only spent her money on ride tickets and admission into the festival. The price of admission is the same for everyone. Use y to represent the total cost and x to represent the number of ride tickets.
(a) Define your variables.
(b) Write a linear equation to calculate the cost for anyone who only pays for festival admission and rides.
(c) Explain your answer to Part B.
(a)
Let's assume
y is total cost
x is number of ride tickets
(b)
Since, this is linear relationship
so, we can assume equation as
[tex]y=mx+b[/tex]
The Fall Festival charges $0.75 per ticket for the rides
so,
[tex]m=0.75[/tex]
we can plug it
[tex]y=0.75x+b[/tex]
Kendall bought 18 tickets for rides and spent a total of $33.50 at the festival
so, we have
at x=18 , y=33.50
we can use it to find b
[tex]33.5=0.75*18+b[/tex]
now, we can solve for b
[tex]b=20[/tex]
we can plug it back
and we get
[tex]y=0.75x+20[/tex]
(c)
we got
[tex]y=0.75x+20[/tex]
here ,
y is the cost for anyone who only pays for festival admission and rides
x is number of admission
so, our equation will give total cost
4 times the sum of 12 and 26
It would be 4(12 + 6). The answer to this is 7.
Hope that helps :)
could someone please help me on this?
Which inverse operation would be used to verify the following equation?
102 ÷ 3 = 34
For this case we have:
The division given by:
102 ÷ 3 = 34
The dividend is 102 The divisor is 3 The quotient is 34To verify its result we use multiplication as a reverse operation, that is:
We multiply the quotient by the divisor and its result must be the dividend.
So:
[tex](34) (3) = 102\\[/tex]
Answer:
Multiplication, [tex](34) (3) = 102[/tex]
Stacie is a resident at the medical facility where you work. You are asked to chart the amount of solid food that she consumes. For the noon meal, today she ate 1/2 of a 3-ounce serving of meatloaf, 3/4 of her 3-ounce serving of mashed potatoes, and 1/3 of a 2-ounce serving of green beans. How many ounces of solid food did Stacie consume? Round final answer to two decimal places.
Remark
The general formula is fraction * solid food = amount
Total amount = 1/2 * 3 oz + 3/4 * 3 oz + 1/3 * 2 oz
Total amount = 3/2 oz + (9/4) oz + 2/3 oz
The lowest common denominator of 2 4 and 3 = 12
Total amount = 3*6/2*6 + 9*3/4*3 + 2*4/3*4
Total amount = 18/12 + 27/12 + 8/12
Total amount = 53/12 = 4 5/12 <<< Answer oz of food.
4.42 oz of food <<<< Answer
Solve for m.
3m+7/2=−2m+5/2
A.-1
B.-1/5
C.6
D.6/5
To solve this we must isolate x which involves having the variables on one side and the numbers on the other.
First add 2m to both sides
3m+7/2=-2m+5/2
5m+7/2=5/2
Then we subtract 7/2 from both sides
5m+7/2=5/2
5m=-1
Finally we divide both sides by 5
5m/5=-1/5
Our final answer is -1/5
So the answer is B
Hope this helps!
−3 1/3 ÷ 9 pllllllllllllllllllllllllllllllllllllllllllllllllll
[tex]-\frac{10}{27}[/tex] hope this helps :)
Which of the following situations represents a linear relationship?
A.
A savings account gains 3 percent in interest annually.
B.
The enrollment at a university has doubled every 5 years since 1980.
C.
An employee is paid $12 for each hour worked.
D.
A company is increasing the volume of a cylindrical container by increasing its radius as the height remains fixed.
C: an employ is paid $12 for each hour worked
tyronne has $60,his sister has $135 ,they get $5 each week ,tyronne saves his money ,while his sister spends hers ,they get additional $10 each week ,in how many weeks will they have the same amount?
Answer:
In 5 weeks they will have the same amount.
Step-by-step explanation:
1. You have that Tyronne has $60, she gets $5 each week and also gets an additional $10 each week. She saves her money. Therefore, you can write the following expression:
[tex]60+5x+10x\\60+15x[/tex]
Where [tex]x[/tex] is the number of weeks.
2. Her sister has $135, she gets $5 each week and also gets an additional $10 each week, but she spends this money. Therefore:
[tex]135+5x+10x-5x-10x\\135[/tex]
3. If this amounts of money will be equal, you have:
[tex]60+15x=135\\15x=75\\x=5[/tex]
4. Therefore, in 5 weeks they will have the same amount.
3m + 9 / n when m is 4 and n is -3
Substitute the 4 and -3 for m and n in the expression.
3m+9÷n
3(4)+9÷(-3)
Using the rules of PEMDAS, first multiply/divide, then add.
12+9÷(-3)
12+(-3)
9
The final answer is 9.
Algebra 1,
Describe and Correct the error.
Thanks in advance.
To determine if it’s a right triangle you would use the Pythagorean theorem. A^2+B^2=C^2 <——- That’s the equation. So you have to know that the hypotenuse(c) is always the longest side. 28^2+45^2=53^2. So yes it is a right triangle.
A store hands out 900 reward cards. Customers scan their cards in the store to find out what reward they receive. The probability that a customer receives a $25 gift card is 112. How many customers receive a $25 gift card?
Answer: 75 customers
Step-by-step explanation:
hey! so for this question you have to cross multiply and divide.
1/12 = 900/1 so 1 times 900 is 900 then divide that by 12 which is 75.
Hope this helps!!
Pira drives 825 miles to California. The trip takes him 17 hours. He uses 38 gallons of gas on the trip, which costs him $125. Find is speed. Find is gas mileage. Find the unit price he paid for gas.
Speed = Distance / time:
Speed = 825 miles / 17 hours
Speed = 48.529 miles per hour. (Round the answer as needed).
Gas mileage = miles traveled / gallons used
Gas mileage = 825 miles / 38 gallons = 21.71 miles per gallon (Round answer as needed).
Unit rate of gas = Total money spend / gallons bought:
Unit rate of gas = $125 / 38 gallons = $3.289 per gallon.
Answer:
[tex]Speed = 48.53mph[/tex]
[tex]Gas.Mileage = 27.7 mpg[/tex]
[tex]Unit.Price = 3.29/gallon[/tex]
Step-by-step explanation:
Great question, it is always good to ask away and get rid of any doubts that you may be having.
In order to find the Speed we need to divide the amount of total miles in the trip to California by the amount of time that it took.
[tex]Speed = \frac{Miles}{Hours}[/tex]
[tex]Speed = \frac{825.miles}{17.hours}[/tex]
[tex]Speed = 48.53mph[/tex]
Next we can calculate the Gas Mileage by dividing the amount of total miles by the amount of gallons of gas that the trip wasted.
[tex]Gas.Mileage = \frac{Miles}{Gallon}[/tex]
[tex]Gas.Mileage = \frac{825.miles}{38.gallons}[/tex]
[tex]Gas.Mileage = 27.7 mpg[/tex]
Finally, we can calculate the Unit Price by dividing the total amount of money wasted in the trip by the amount of gallons used in that trip.
[tex]Unit.Price = \frac{Total}{Gallons}[/tex]
[tex]Unit.Price = \frac{125}{38.gallons}[/tex]
[tex]Unit.Price = 3.29/gallon[/tex]
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
Given ST with midpoint (5,-8) and endpoint T(4,-6), find endpoint S.
The formula of a midpoint:
[tex]M_{ST}\left(\dfrac{x_S+x_T}{2},\ \dfrac{y_S+y_T}{2}\right)[/tex]
We have:
[tex]M(5,\ -8)\to x_M=5,\ y_M=-8\\T(4,\ -6)\to x_T=4,\ y_T=-6[/tex]
Substitute:
[tex]\dfrac{x_S+4}{2}=5\qquad|\cdot2\\\\x_S+4=10\qquad|-4\\\\x_S=6\\\\\dfrac{y_S+(-6)}{2}=-8\qquad|\cdot2\\\\y_S-6=-16\qquad|+6\\\\y_S=-10[/tex]
Answer: (6, -10)A^3+4a^2+4a factor completely
So firstly, factor out the GCF, or greatest common factor. To find the GCF, list the factors of every term and the greatest one they all share is their GCF. In this case, the GCF is "a":
[tex]a(a^2+4a+4)[/tex]
Next, we are going to apply the square of binomials rule in this situation, which is [tex](x+y)(x+y)=x^2+2xy+y^2[/tex] In this case:
[tex]a^2+4a+4=(a+2)(a+2)\\\\a(a+2)(a+2)[/tex]
Your final answer is [tex]a(a+2)(a+2)[/tex]
round to the nearest thousandth 1.2983
The nearest thousandth is 1.298. You get this because you don't round the 3 up, it is too small. If it was 5 or higher, then you would round up. Is this helpful? I hope it is.
The given decimal number rounded to the nearest thousandth is 1.298.
What is the rounding off numbers?Rounding a number means the process of making a number simpler such that its value remains close to what it was. The result obtained after rounding off a number is less accurate, but easier to use. While rounding a number, we consider the place value of digits in a number.
The given decimal number is 1.2983.
To the nearest thousandth:
In the place ten thousandth, number 3 is there
Here, 1.298
Therefore, the given decimal number rounded to the nearest thousandth is 1.298.
To learn more about the rounding off numbers visit:
brainly.com/question/13391706.
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graph 9x+12y less than or equal to 925
most likely it would be less than
What is -45 degrees 5 times colder
do -45 times 5, and you will get -225
Write an expression where you multiply a decimal number by 100. Which direction and how many places does the decimal move?
PLEASE HELP, GIVING 20 POINTS
.57 times 100= 57. you moe the decimal 2 places to the right
GEOMETRY HELP! What is the equation of a line that passes through the point (1, 8) and is perpendicular to the line whose equation is y=x/2+3 ?
A perpendicular line has the negative reciprocal slope of the given line.
The slope of the given line is x/2, which can be written as 1/2x
The negative reciprocal of 1/2 would be -2
The equation for a line is written as y = mx +b, where m is the slope and b is the y-intercept.
We already have the slope ( -2)
So we can solve for b by replacing y x and m with the slope and the point given:
8 = -2(1) +b
8 = -2 + b
b = 10
The equation would be y = -2x + 10
The fastest recorded Hawaiian lava flow moved at an average speed of 6 miles per hour. The function y=6x describes the distance y the lava moved on average in x hours. Graph the function. Use the graph to estimate how many miles is lava moved after 4.5 hours.
Okay for this problem you can multiply 6 by 4.5 aand get 27 as your answer.
So 6×4.5=27 miles in 4.5 hours
We need to graph a function and use that graph to estimate how many miles lava moves in 4.5 hours.
The graph and estimations can be seen at the end of the answer.
Let's see how to graph this:
We know that the function is y= 6*x
What we need to do, is find two points in the that belong to the line, to get that, we need to evaluate the function in two points:
if x = 0:
y = 6*0 = 0
Then we have the point (0, 0)
if x = 1:
y = 6*1 = 6
Then we have the point (1, 6)
Now to graph the function, we just need to find these two points and draw a line that connects them.
A graph is shown at the end of the answer.
To estimate the distance that the lava has moved in 4.5 hours, we need to find the value 4.5 in the x-axis, then we draw a vertical line that passes through there.
In the point where this vertical line intersects the graph, we draw a horizontal line.
That horizontal line will intersect the y-axis in the correspondent y-value to x = 4.5
An example of this can be seen in the image below, my estimation is that the lava has moved something near 26 miles.
If you want to learn more, you can read:
https://brainly.com/question/20853486