Answer:
≈ 8000
Step-by-step explanation:
Step 1: Round 198
198 ≈ 200
Step 2: Round 42
42 ≈ 40
Step 3: Multiply
200(40) = 8000
Real answer is 8316.
which of the following decimal numbers are greater 2.1 or 2.0113
Answer:
2.1 is greater
Step-by-step explanation: 2.0113 cannot be rounded up since the last number is 3 if it was above 5 or greater it could have been rounded but would have only affected the second number.
15 POINTS
1.) name two planes that intersect in WX in the figure to the right
Solve this absolute value inequality
8 |u-2| -7<33
Answer:
In set-builder notation, the set of solutions is:
[tex]\left \{u|-3<u<7\right\}[/tex]
Step-by-step explanation:
Let's start by isolating the absolute value expression on one side of the inequality:
8 | u - 2 | - 7 < 33
add 7 on both sides:
8 | u - 2 | < 40
divide both sides by 8:
| u - 2 | < 5
Now, in order to remove the absolute value symbols, we need to consider two different cases:
1) what is inside the absolute value symbols is larger than or equal to zero, so in such case when we remove the absolute value we get exactly what was inside:
u - 2 < 5
u < 5 + 2
u < 7
Now the other case;
2) what is inside the absolute value is smaller than zero, then when removing the symbols we get:
2 - u < 5
2 - 5 < u
-3 < u
Then the set of solutions of this inequality are the set of u values such that u is larger than -3 (to the right of -3 on the number line, and smaller than 7 (to the left of the number 7 on the number line.
In graph form this should look like a highlighted segment on the number line that starts at -3 on the left, ends at 7 on the right, and doesn't include the endpoints -3 and 7.
in set builder notation, the set of solutions is given by:
[tex]\left \{u|-3<u<7\right\}[/tex]
simplify the equation
4 power to 2 . 4 power to 4
Answer:
4^6
Step-by-step explanation:
Because they have the same base (4) and are being multiplied together, the powers simply add together so:
4^2 * 4^4 = 4^(2+4) =4^6
Hope this helped!
Scott and Greg were asked to add two whole numbers. Instead, Scott subtracted the two numbers and got 16, and Greg multiplied them and got 1305. What was the correct sum?
Answer:
One number is 29, and the other one 45
Step-by-step explanation:
Solve this problem by creating two equations that represents the statements, and solve for the unknowns using substitution:
Let's say that one of the numbers is X , and the other one Y, and assume that Y is larger than X, so when we do their difference we get the 16 units they mention in the problem:
Y - X = 16
The info on the product of the two numbers will give us our second equation:
X * Y = 1305
Now use the first equation to substitute Y with 16 + X, in the second equation:
X (16 + X) = 1305
16 X + X^2 = 1305
X^2 + 16 X - 1305 = 0
Now use the quadratic formula to solve for X, and we get two possible answers: X = -45 or X = 29
So, since we are looking for whole numbers, we discard the negative answer, and keep X = 29
Then, the value of the other number "Y" is = 29 + 16 = 45
Find the least common multiple of 4, 2, and 7
Answer:
28
Step-by-step explanation:
So we know that 2 is already a multiple of 4 so we can just find the least common multiple of 4 and 7. So we can do:
4, 8, 12, 16, 20, 24, 28
7, 14, 21, 28
So the least common multiple between 4, 2, and 7 is 28
Margareta is selling freshly baked cookies at 50¢ a cookie, and $2.00 for a pack of 5 cookies. Nathan is selling freshly picked strawberries for $2.00 per pound, and $10.00 for 5 pounds. Who has a proportional relationship between cost and item?
Margareta
Nathan
Both Margareta and Nathan
Neither of them
Answer: Nathan has a proportional relationship between cost and item
Step-by-step explanation:
Using Margareta's statement we will say that if you buy 1 cookie you pay 50 cents and if you by 5 cookies you will pay $2
To find out how much you will pay for one cookie by using the 5 cookies $2 statement we will divide 2 by 5
2/5 = 0.4 which means you pay 40 cents for 1 cookie and that is not equivalent to paying 50 cents per cookie so Margereta method is not proportional.
Nathan sells freshly picked strawberries for $2 per pound and $10 for 5 pounds. Now we want to know how much you have to pay per pound if you were to buy 5 pounds to $10 .
Divide 10 by 5 to find out how much you will pay per pound.
10/5 = 2
So Nathan is selling his strawberries at a proportional rate which is $2 per pound.
On a trip to the grocery store, Zach purchased 7 pounds of fruits and vegetables. How many
kilograms is 7 pounds? Round your answer to the nearest hundredth of a kilogram.
Answer:
3.18 kg
Step-by-step explanation:
It is given that, Zach purchased 7 pounds of fruits and vegetables.
We know that,
1 kg = 2.20462 pounds
It means that, 1 pound = 0.453592 kg
We need to find how kilograms is 7 pounds. So multiply 7 by 0.453592 to convert into kg.
So,
7 pound = 3.17515 kg
or
7 pounds = 3.18 kg
So, the weight of fruits and vegetables is 3.18 kg.
One rule of thumb for estimating crowds is that each person occupies 2.5 square feet. Use
this rule to estimate the size of the crowd watching a concert in an area that is 150 feet long
and 240 feet wide
Answer:
The number of people that will occupy 36000 square feet= 14400 people
Step-by-step explanation:
each person occupies 2.5 square feet.
Area of concert in an area that is 150 feet long and 240 feet wide
Area=150*240
Area=36000 square feet
If one person occupies 2.5 square feet
The number of people that will occupy 36000 square feet
= 36000/2.5
= 14400 people
The number of people that will occupy 36000 square feet= 14400 people
Using the slope-intercept form to graph the equation y=-8/9 times + 4
so
y=-8/9x+4
Your y intercept is 4
For every 9 units you go (to the right) along the x axis, you go 8 units down on the y axis.
Point and line are coplanar.
Answer:
If they are in the same plane
Step-by-step explanation:
there are twelve bottles in each box of bottled water. Write an equation representing the total number of bottles you get if you buy x boexes. use y to represent the total number of of bottles
Answer:
what does y and x represent no one can answer unless they have x and y
Step-by-step explanation:
Answer:
y=12x
Step-by-step explanation:
Since there are 12 bottles in each box, the total number is the number of boxes multiplied by 12.
For example, buying 1 box will give you 12 bottles (1x12) and buying 2 boxes would give you 24 (2x24).
Therefore the equation of the total number of bottles if you buy x boxes is:
y=12x
Hope this helped!
15+0= 15
O Communative Property
O Associative Property
O identity Property
O Distributive Property
First of all, let's take a look on the question.
[tex]\large{15 + 0 = 15}[/tex]
Here, 0 is added to 15 and the resultant is 15 only. So, we can say that 0 when added with any number gives the same number as the resultant.
So, the property is known as Identity property because 0 is added to get the identity of the same number.
The Correct Option:
[tex] \large{ \boxed{ \red{ \bf{Option \: C}}}}[/tex]
So, let's know more...
Commutative property ➝ a + b = b + aAssociative property ➝ a + (b + c) = (a + b) + cDistributive property ➝ a(b + c) = ab + acSo this is the general form of these properties which is general observed in the rational numbers.
━━━━━━━━━━━━━━━━━━━━
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
I think the answer is A.
reggie pays 982.27 each month to rent an apartment. how much will it cost him to rent the apartment for two years
Answer:
982.27 = 1 month
12 months in one year
1 month x 12 is 12 months
982.27 x 12 = 11787.24
11787.24 x 2 = 23574.48
So, it is $23574.48
Try your best!
Mark this as Brainliest so that everyone can see!
solve for x
4 - 2(x - 3) = 24
Answer:
-7
Step-by-step explanation:
4-2x+6=24
10-2x=24
-2x=24-10
-2x=14
X=-7
The solution to the equation is x = -7.
To solve the equation 4 - 2(x - 3) = 24 for the variable x, you can follow these steps:
Step 1: Simplify the expression on the left side by applying the distributive property:
4 - 2x + 6 = 24
Simplifying further:
10 - 2x = 24
Step 2: Move the constant term to the right side by subtracting 10 from both sides:
10 - 10 - 2x = 24 - 10
-2x = 14
Step 3: Divide both sides of the equation by -2 to solve for x:
(-2x) / -2 = 14 / -2
x = -7
Therefore, the solution to the equation is x = -7.
Learn more about Equation here:
https://brainly.com/question/29657983
#SPJ6
The difference of the quotient of 5 and x and the product of 18 and y
Answer:
(5/x)-(18y)
Step-by-step explanation:
First write the expression (5/x) and then the second expression (18y) the write the difference, so basically a subtraction. (5/x)-(18y)
Your team scores and -8 and -for on the first two rounds of a game how can you use addition to find your Teams total score
Answer:
-12
Step-by-step explanation:
-8-4=-12
because -×-=+
and -+-=-
why because when you add the highest number gives you the sign
Write the following expression without negative exponents and without parentheses. 5x^-2
Solution:
5x^-2
5 * x^-2
5 * 1/x^2
5/x^2
Best of Luck!
The given expression without negative exponent is [tex]\frac{5}{x^2}[/tex]
Exponents and indicesGiven the indices expression
5x^-2
We are to express with the negative exponent:
According to the indices expression
[tex]x^{-n}=\frac{1}{x^n}[/tex]
Hence the given expression is [tex]\frac{5}{x^2}[/tex]
Learn more on indices here; https://brainly.com/question/10339517
Yuki bought a dress on sale for $48. The sale price was for 40% off, what was the original price of the dress
You want to buy 4 CDs for $15.99 each. Estimate the total cost. about $64 about $57 about $60 about $68
Answer:
about $64
Step-by-step explanation:
4 x $15.99 = $63.96
round $63.96 to get $64
What is the solution to the equation 1/4x+2=-5/8-5
Answer: [tex]x=-61/2[/tex]
Simplify both sides of the equation
[tex]1/4x+2=(-5/8+-5)[/tex] (Combine Like Terms)
[tex]1/4x+2=-45/8[/tex]
Subtract 2 from both sides
[tex]1/4x+2-2=-45/8-2\\1/4x=-61/8[/tex]
Multiply both sides by 4
[tex]4*(1/4x)=4*(-61/8)\\x=-61/2[/tex]
Angie and Kenny play online video games. Angie buys 1 software and of game play. Kenny 2 buys software and 6 months of game play. Each software package costs $50. If their total cost is $295, what is the cost of one month of game play?
Answer:
The cost of one month of gameplay is $99.2
Step-by-step explanation:
295/6 + 50
49.2 + 50
99.2
(I rounded to the nearest tenth on multiple occasions)
Factor.
14y2 + 70y
14y2 + 70y=
Answer:
14y(y+5)
Hope this helps!
Answer:
the answer is 14y(y+5)
Step-by-step explanation:
Is 10 greater than 10.1
Answer:
no
Step-by-step explanation: 10.1 is .1 higher
Answer:
yes
Step-by-step explanation:
mark as me brainlist
PIZZA CRUST Pepe’s Pizza makes 52 pizza crusts the fi rst week and 180 pizza crusts each subsequent week. Dianne’s Delicatessen makes 26 pizza crusts the fi rst week and 90 pizza crusts each subsequent week. In how many weeks will the total number of pizza crusts made by Pepe’s Pizza equal twice the total number of pizza crusts made by Dianne’s Delicatessen?
Answer:
Always.
Step-by-step explanation:
Let's write two equations.
Pepe's Pizza:
They made 52 pizza crusts the first week and 180 crusts each subsequent week. In other words, in x weeks after the first week, their total number of crusts made is modeled by the equation:
[tex]P=52+180x[/tex]
Dianne's Delicatessen:
They made 26 pizza crusts the first week and 90 crusts each subsequent week. So, in x weeks after the first week, their total number of crusts is modeled by:
[tex]D=26+90x[/tex]
And we want to find the number of weeks such that the number of crusts made by Pepe's Pizza is equivalent to twice the number of crusts made by Dianne's Delicatessen. In other words:
[tex]P=2D[/tex]
Substitute P and D for their equations:
[tex]52+180x=2(26+90x)[/tex]
Distribute the right:
[tex]52+180x=52+180x[/tex]
As we can see, the two equations turns out to be the same.
In other words, no matter what week it is (excluding the first week), the amount of crusts made by Pepe's Pizza will always be twice the crusts made by Dianne's Delicatessen.
Find the product of (5/16)(-2)(-4)(-4/5)
Answer:
It's -2
(5/16)(-4/5)=(-20/80)
(-2)(-4)=(8)
(8)(-20/80)= -160/80
-160/80=-2
The sum of two numbers is eleven. One number is thirty-eight less than six times the other. Find the numbers.
Answer:
One of the number is 4 while the other is 7
Step-by-step explanation:
The sum of two numbers is eleven
Let the numbers be x and y
X+ y = 11
One number is thirty-eight less than six times the other
X= 6y-38
X+ y = 11
6y-38 +y= 11
6y+y= 11+38
7y=49
Y= 49/7
Y= 7
X+ y = 11
X+7= 11
X= 11-7
X= 4
How should a random heterogeneous material be sampled in order to construct a representative sample?
Answer:
Explained below.
Step-by-step explanation:
Heterogeneous denotes to a form with different components or features, give the impression as uneven or varied.
A heterogeneous population or sample is the one where each and every individual has a diverse value for the distinctive characteristic one is interested in.
To select a representative sample from the random heterogeneous material one should divide the material into segments and then use random number, either by the random number table or by the random number generator, to select random segments of the material.
If a $20,000 investment earns $1,600 over 2 years, what is the annual interest rate?
Answer:
Annual interest rate = 4%
Step-by-step explanation:
We are given;
Principal; P = $20000
Interest; I = $1600
Period; T = 2 years
Formula for simple interest is;
I = PRT
Making R, rate the subject of the formula gives;
R = I/PT
Plugging in the relevant values gives;
R = (1600)/(20000 × 2)
R = 0.04
In percentage form, R = 4%