21 and 61 which is composite and which is prime
Andy used 1\6 of a can of paint to cover 1\2 of a wall. How much of the can of paint did Andy use to paint the whole wall? Express your answer in simplest form.
1/3 of the can of paint can be used to paint the whole wall if Andy used 1/6 of a can of paint to cover 1/2 of a wall.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that,
Andy used 1/6 of a can of paint to cover 1\2 of a wall.
Let x be the number of can of paint Andy use to paint the whole wall.
1/6 = 1/2 of the wall
2/6 = 2/2 = 1 whole wall
x = 2/6 = 1/3
Thus, 1/3 of the can of paint can be used to paint the whole wall if Andy used 1/6 of a can of paint to cover 1/2 of a wall.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ2
Spencer orders 235 cans of tomatoes to make salsa for the festival. What is 235 rounded to nearest 10
In solving this problem, you should know the basic place values:
For example:
243. in this example, 200 is the hundreds, 40 is the tens and the 3 is the ones.
So for our problem, 235 if rounded off to the nearest tens, it would be 240. Since according to the rules if the ones is 5 and above, the number will be rounded off.
We round down if the ones is 4 and below.
The number 235 rounded to the nearest ten is 240.
1. Identify the digit in the tens place of the number: In 235, the digit in the tens place is 3.
2. Look at the digit to the right of the tens place: In 235, the digit to the right of 3 is 5.
3. Determine if the digit in the tens place rounds up or down: Since 5 is 5 or greater, we round up the digit in the tens place.
4. Replace the digits to the right of the tens place with zeros: When rounding to the nearest 10, we only consider the digit in the tens place and ignore the digits to the right of it. So, we replace the digits to the right of the tens place with zeros.
5. Increase the digit in the tens place by 1 if rounding up: Since we are rounding up from 3 to the next higher multiple of 10, the digit in the tens place becomes 3 + 1 = 4.
6. Combine the rounded tens place digit with the zeros: After rounding, the number becomes 240.
Therefore, 235 rounded to the nearest 10 is 240.
explain how finding 7x20 is similar to finding 7x2,000. then find each product
Answer:
[tex]7\times 20=140[/tex]
[tex]7\times 2000=14000[/tex]
Step-by-step explanation:
To find : Explain how finding [tex]7\times 20[/tex] is similar to finding [tex]7\times 2,000[/tex] then find both products ?
Solution :
First we find the product of [tex]7\times 20[/tex]
[tex]7\times 20=140[/tex] .....(1)
Now, to find the product of [tex]7\times 2,000[/tex]
We can re-write the product as,
[tex]7\times 2,000=7\times 20\times 100[/tex]
Using (1),
[tex]7\times 2,000=140\times 100[/tex]
[tex]7\times 2,000=14000[/tex]
It is similar as the difference is about the multiple of 10.
If a ray divides an angle into two complementary angles then the original angle is a right angle
Answer:
true
Step-by-step explanation:
If the parent function is f(x) =x^2 and its transformed fuction is g(x)=2(x-1)^2
Which statement about the ordered pairs (3, −8) and (4, 4) is true for the equation 3x−y/4=11 ? incorrect answer: Neither ordered pair is a solution..(3, −8) is a solution to the equation but not (4, 4)
.
( 3, −8 ) is a solution to the equation but not ( 4, 4 ) .
Neither ordered pair is a solution.
Neither ordered pair is a solution.
Both ordered pairs are solutions.
Both ordered pairs are solutions.
(4, 4)
is a solution to the equation but not (3, −8) .
Answer:
both ordered pairs are solutions
Step-by-step explanation:
x+46=4/5(360) need help solving
Simon has 12 CDs. He burns 3 copies of each. How many CDs did Simon make?
A student worked 46 hr during a week one summer the student earned $4.90 per hour for the first 40 hr and $7.35 per hour for overtime how much did the student earn during the week?
Answer:
240.10 dollars
At the beginning of the year, Jerome had a balance of $0 in his bank account. He later deposited $120 into the account and then withdrew $85 from it.
Which number sentence correctly compares the absolute values of the changes in Jerome’s bank balance?
A. |-$85| < |$120|
B. |-$85| < |-$120|
C. |$85| > |-$120|
D. |$0| > |$120|
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Inequalities help us to compare two unequal expressions. The correct option is A.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
At the beginning of the year, Jerome had a balance of $0 in his bank account. He later deposited $120 into the account and then withdrew $85 from it.
A value when substituted in the mode, then irrespective of its a positive value or a negative value, the output will be always positive, therefore, the output will be always positive.
Hence, the number sentence correctly compares the absolute values of the changes in Jerome’s bank balance is |-$85| < |$120|.
Learn more about Inequality:
https://brainly.com/question/19491153
#SPJ2
Peter walks 3 minutes at a constant rate and travels 330 meters. If we graph this relationship with time along the x-axis and distance along the y-axis, the slope of the line representing this relationship is . If Peter walks for an hour, the point on the line that represents the distance he walks with respect to time is . NextReset
The point on the line that represents the distance Peter walks in an hour with respect to time is (60 minutes, 6600 meters).
What is the distance?Distance is defined as the product of speed and time.
The slope of the line representing the relationship between time and distance is the speed at which Peter is walking.
In this case, the slope is 330 meters / 3 minutes = 110 meters/minute. This means that Peter is walking at a speed of 110 meters per minute.
If Peter walks for an hour, the point on the line that represents the distance he walks with respect to time is (60 minutes, ?). To find the distance that Peter walks in an hour, we can use the formula for the distance traveled: distance = speed x time.
Plugging in the values, we get distance = 110 meters/minute x 60 minutes = 6600 meters.
Therefore, the point on the line that reflects Peter's walking distance in an hour in relation to time is (60 minutes, 6600 meters).
Learn more about the distance here:
brainly.com/question/13269893
#SPJ2
Riley worked 5 hours on Monday, 3 hours on Tuesday, and 2 hours on Wednesday. He rounded the hours to 5, 3, and 2 before adding them together to get 10 hours. Did he make a high or low estimate?
Answer:
It is low... not high :)
Solve the equation for the red variable.
jude is incorrectly simplified the expression [1/2]^2 times 1/2 times [1/2]^3, as shown below.
[1/2]^2 x 1/2 x [1/2]^3= [1/8]^6 =1/262,144
describe the mistake that jude made. In your explanation , provide the correct way to simplify the expression
Jude incorrectly squared the common base (1/2) when she should have added the exponents. The correct simplification of (1/2) ² × 1/2 × (1/2) ³ is (1/2) ⁵, which equals 1/32.
Jude made a common mistake while simplifying the expression (1/2) ² × 1/2 × (1/2) ³.
Instead of combining the exponents correctly, Jude incorrectly assumed that raising the power of a power would simply entail squaring (1/8), thus ending up with (1/8) ⁶ which equates to 1/262,144.
However, the correct method to simplify the expression involves adding the exponents when multiplying the same base number.
The correct simplification would be (1/2) ⁵ because we have (1/2) ² (twice), then multiplied by 1/2 (once), and then by (1/2) ³ (thrice), so the sum of the exponents is 2+1+3=6.
Therefore, (1/2)⁵ equals 1/32.
Following the rules for powers and exponents ensures that we arrive at the correct mathematical solution.
$1.12 for 8.2 ounces? Unit Rate
the circumference of a circular hot tub in a hotel is 56.5 yards.what is the diameter of the hot tub?
Carly sold 18 rolls of wrapping paper. That is 2 times as many rolls as Jasmine sold, How many rolls of wrapping paper did they sell all together?
In this exercise we want to know how many rolls were sold by two people, so we have to:
27 rolls
To start the calculations we have to organize the information given in the text as:
Carly sold 18 rolls. Jasmine sold 9 rolls.So now solving this problem we have:
[tex]TOTAL: 18 + 9 = 27 rolls[/tex]
See more about equations at brainly.com/question/2263981
A rectangular floor is 24 feet long and 9 feet wide. What is the area of the floor in square yards?
Charlie is at a small airfield watching for the approach of a small plane with engine trouble. He sees the plane at an angle of elevation of 32. At the same time, the pilot radios Charlie and reports the plane’s altitude is 1,700 feet. Charlie’s eyes are 5.2 feet from the ground. Find the ground distance from Charlie to the plane. Show how you know
What is the best estimate for the following expression: 6.79 - (-3.2)?
10
9
4
1
The difference between -7/9 and 4/9 is
Hello!
Your answer is
-1 2/9
Jesse wants to save the same amount of money each week for a trip. He needs $3,060. If the trip is 36 weeks away how much money should Jesse save each week?
When the dimensions of a cube are reduced by 4 inches on each side, the surface area of the new cube is 864 square inches. What where the dimensions of the original cube?
Answer:
The dimensions of the original cube are 16 in x 16 in x 16 in
Step-by-step explanation:
Let
x ----> the length side of the original cube
The surface area of the cube is equal to
[tex]SA=6b^2[/tex]
where
b is the length side of the cube
we know that
The dimensions of a cube are reduced by 4 inches on each side and the surface area of the new cube is 864 square inches
so
The length side of the new cube is
[tex]b=(x-4)\ in[/tex]
substitute in the formula of surface area
[tex]SA=6(x-4)^2[/tex]
[tex]SA=864\ in^2[/tex]
so
[tex]6(x-4)^2=864[/tex]
Simplify
[tex](x-4)^2=144[/tex]
take square root both sides
[tex](x-4)=(+/-)12[/tex]
[tex]x=4(+/-)12[/tex]
[tex]x=4(+)12=16\ in[/tex]
[tex]x=4(-)12=-8\ in[/tex] ----> the length side cannot be a negative number
therefore
The dimensions of the original cube are 16 in x 16 in x 16 in
To find the dimensions of the original cube, set up an equation using the surface area of the new cube and solve for the original side length.
Explanation:To find the dimensions of the original cube, we need to work backwards.
First, let's find the surface area of the original cube. If we reduce each side of the cube by 4 inches, the new side length would be 'x-4'. The surface area of the new cube is given as 864 square inches. So we have the equation: (x-4)^2 = 864 Solving this equation, we find that the side length of the original cube is 22 inches.
Learn more about Mathematics here:
https://brainly.com/question/27235369
#SPJ3
After m months, the height of a plant is 10+3m millimeters. How tall is the plant after eight months? Three years?
What is the perimeter of a triangle with sides of lengths 5, 8, & x?
13 + x
40 + x
40x
21
A tomato plant grew an average of 0.06 m per day. How many days did it take for the plant to grow a total of 0.96 m. Again, I'm super sorry
A company did a quality check on all the packs of trail mix it manufactured. Each pack of trail mix is targeted to weigh 9.25 oz. A pack must weigh within 0.23 oz of the target weight to be accepted. What is the range of rejected masses, x, for the manufactured trail mixes?
x < 9.02 or x > 9.48 because |x − 0.23| + 9.25 > 0
x < 9.25 or x > 9.48 because |x − 9.25| > 0.23
x < 9.25 or x > 9.48 because |x − 0.23| + 9.25 > 0
x < 9.02 or x > 9.48 because |x − 9.25| > 0.23
Answer:
The correct option is D) x < 9.02 or x > 9.48 because |x − 9.25| > 0.23
Step-by-step explanation:
Given:- Each pack of trail mix is targeted to weigh 9.25 oz. a pack must weigh within 0.23 oz of the target weight to be accepted.
We need to find out the correct range of rejected masses, X for the manufactured trail mixes
9.25 - 0.23 = 9.02 (It can't weigh less then this)
9.25 + 0.23 = 9.48 (It can't weigh more then this)
Since, rejected masses are : x < 9.02 and x > 9.48
Only option A and D has condition x < 9.02 and x > 9.48
In option A) |x − 0.23| + 9.25 > 0
this is wrong condition because it must be |x − 0.25|
For Option D)
Check:
modulus |x − 9.25| > 0.23 express as
- 0.23 > (x − 9.25) > 0.23
Add 9.25 in above ,
- 0.23 + 9.25 > (x − 9.25 + 9.25) > 0.23 +9.25
9.02 > x > 9.48
True
So, the correct option is D)
x < 9.02 or x > 9.48 because |x − 9.25| > 0.23
An airplane flies 2700 miles from Los Angeles to New York City. When the plane flies back to Los Angeles, is it flying in a negative direction? Use absolute value to justify your answer.
Graph the function y = |1.6x – 2| – 3.2. Over which interval is the function increasing?
(1.25, ∞)
(3.25, ∞)
(–∞, 1.25)
(–∞, 3.25)
The interval over which the function is increasing is:
(1.25,∞)
Step-by-step explanation:We are given a modulus function by:
[tex]y=|1.6x-2|-3.2[/tex]
From the graph of the function we see that the function is first decreasing in the interval (-∞,1.25) and then it increases continuously in the interval (1.25,∞) and goes to infinity.
Hence, the answer is:
(1.25, ∞)
Answer:
A. (1.25, ∞)
Step-by-step explanation: