Part 1:
The length of a rectangle is 4/3 its width, w.
Which expression represents the perimeter of the rectangle?
Answer Choices:
a. 4/3w+2w
b. 4(4/3w+w)
c. 4×4/3w
d. 2(4/3w+w)
Part 2:
The perimeter of the rectangle from Part 1 is 28 inches.
What is the area of the rectangle, in square inches?
perimeter = 2 times the length plus 2 times the width
which can also be written as 2(4/3w+w) so the answer is D
part 2
28 = 2(4/3w+w) when you do the calculation w = 6
length = 4/3 *6 = 8
area = 6 * 8 =48 square inches
If 772 is divided by 9, what is the remainder? A) 4 B) 6 C) 7 D) 8
What is the smallest positive integer N such that the value 70 + 30(N) is not a prime number?
Is -9 greater than 8
PLEASEEE HELPP ASAP!
1/8, 0.35,0.2 in order from least to greatest
Write the number equal to 2 tens 15 ones
The number that will be equal to 2 tens 15 ones is 35.
How to identify the place value of a digit in a number?The place values on the left of the decimal point start as ones, tens, hundreds, and so on. The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths, and so on. The tens mean multiplied by 10. The tenth means the tenth part of that digit which is that digit divided by 10
We are given multiple number names and asked to add them.
We will call d as ones digit, c as tens digit (it get multiplied by 10), b as hundreds digit etc.
We call e as digit at 10th place (division by 10), f as digit at hundredth place and so on.
To find this problem, it will be easier to split the sentences into multiple parts like this;
1. "2 tens" mean 2 x 10 =20
2. "15 ones" mean 15 x 1= 15
Then, if we add them up it will be;
20+15= 35
The answer to this problem would be 35
Therefore, the number that will be equal to 2 tens 15 ones is 35.
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(2p^2+7p-39) divided by (2p-7) ?
Write an expression with four terms. Include at least one term with an exponent, one term with a coefficient of 5, one term with three factors, and one constant. Make two of the terms like terms.
An expression satisfying all the conditions specified is [tex]5x^2 + 5xy + 3xy + 7[/tex]
Here's an expression with four terms that meets all the requirements :
[tex]5x^2 + 5xy + 3xy + 7[/tex]
1. Term with an exponent: [tex]\( 5x^2 \)[/tex] (The exponent is 2)
2. Term with a coefficient of 5: [tex]\( 5xy \)[/tex]
3. Term with three factors: [tex]5xy[/tex] (The factors are 5, x, and y)
4. Constant term: 7
Like terms:[tex]\( 5xy \)\ and\ \( 3xy \)[/tex]
So the expression [tex]\( 5x^2 + 5xy + 3xy + 7 \)[/tex] includes all the specified requirements.
8 1/10 as a decimal
What is the definition of when each input has exactly one output in a relation
Which expression is equivalent to the following?
21x – 15
A. 3(2x)
B. 3x(7x – 5)
C. 3(7x – 5)
D. 3(7x – 15)
write a related subtraction fact for 7 + 3 = 10
Solve for r: C = 2pir.
r = C over 2 pi
r = 2 c all over pi
r = C over pi
r = pi times C all over 2
A band to played 3 concerts and earned about a total of $321.00.the band earned about the same amount for each concert estimate how much the band and each night.
Change 3 radians to degree measures
π radians =180∘
1 radian = tex] \frac{180°}{ \pi} [/tex]π
3 radians = [tex] \frac{540°}{ \pi} [/tex]
If the distance from 0 to x on a number line is less than 5, then –5 + x is negative. Always Sometimes Never
Final answer:
The statement that -5 + x is negative, given the distance from 0 to x on a number line is less than 5, is true sometimes. This depends on the value of x, whether it is a small positive number or any negative number.
Explanation:
The question revolves around the concept of distance on a number line and the calculation of numerical expressions. To understand whether -5 + x is always, sometimes, or never negative given the condition that the distance from 0 to x on a number line is less than 5, let's analyze the scenarios.
First, the absolute value |x| < 5 indicates that x must be between -5 and 5 (not including -5 and 5). This means x can be any value closer to 0 than 5, whether positive or negative.
If x > 0 (but less than 5), then -5 + x would be negative because x cannot neutralize the -5 completely.
For example, if x=4, then -5 + 4 = -1.
If x < 0, then -5 + x is negative since you are adding two negative numbers.
For example, if x=-4, then -5 + (-4) = -9.
The statement -5 + x is negative is true sometimes based on the value of x. If x is a positive number close to 5, the expression may approach 0 but will stay negative. If x is negative, the expression is further negative.
what are the steps to convert a quadratic function in standard form to vertex form
To convert a quadratic function in standard form to vertex form, follow these steps: identify the given equation, find the x-coordinate of the vertex, substitute the x-coordinate to find the y-coordinate, and write the function in vertex form.
Explanation:To convert a quadratic function in standard form to vertex form, follow these steps:
Identify the given equation in standard form, which is in the form of ax² + bx + c = 0.Use the formula x = -b/2a to find the x-coordinate of the vertex.Substitute the found x-coordinate into the original equation to find the y-coordinate of the vertex.Write the quadratic function in vertex form as y = a(x-h)² + k, where (h, k) is the vertex of the parabola.For example, if the quadratic function is given as 2x² - 8x + 5 = 0, we first find the x-coordinate of the vertex using the formula x = -b/2a as x = -(-8)/(2*2) = 2. Substituting this x-coordinate into the equation, we find the y-coordinate of the vertex as y = 2*(2)² - 8*(2) + 5 = -3. Therefore, the quadratic function in vertex form is y = 2(x-2)² - 3.
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Need help what is the answer and what is the equation
Jacob is using this rule.
''Start with a number, divide it by 2 and then add 3. Write down the result.''
a) What is the result when Jacob starts with 8?
b) What number did Jacob start with when the result is 5?
What is the constant of proportionality in the equation y=5.5x
Answer:
In the equation [tex]\(y = 5.5x\), \(5.5\)[/tex] is the constant of proportionality.
This equation represents a proportional relationship between [tex]\(x\)[/tex] and [tex]\(y\),[/tex] where [tex]\(y\)[/tex] is always [tex]\(5.5\)[/tex] times the value of [tex]\(x\).[/tex] Therefore, [tex]\(5.5\)[/tex] is the constant by which [tex]\(x\)[/tex] is multiplied to get [tex]\(y\).[/tex]
Explanation:
In the equation [tex]\(y = 5.5x\), \(5.5\)[/tex] represents the constant of proportionality. In a proportional relationship, one quantity is always a constant multiple of the other. Here,[tex]\(y\)[/tex] is always [tex]\(5.5\)[/tex] times the value of [tex]\(x\)[/tex]. This means that as [tex]\(x\)[/tex] increases or decreases, [tex]\(y\)[/tex] changes in direct proportion, always maintaining a ratio of [tex]\(5.5:1\)[/tex] between [tex]\(y\)[/tex] and [tex]\(x\)[/tex]. The constant of proportionality, [tex]\(5.5\)[/tex], determines the rate at which [tex]\(y\)[/tex] changes with respect to changes in [tex]\(x\)[/tex], serving as a scaling factor in the relationship between the two variables.
Susan and terry run a day care center Since they use susans house it was agreed that her share is twice as Terrys if they earn 225 how much is susans share?
To determine Susan's share of the daycare earnings, the simple equation T + 2T = 225 was solved to give Terry's share as $75. Susan's share, being double Terry's, is therefore $150.
The total earnings of Susan and Terry together: 2x (Terry's share) + Terry's share = 225
Given that the total earnings are 225:
2x (Terry's share) + Terry's share = 225
3x (Terry's share) = 225
Terry's share = 225/3 = 75
Susan's share = 2 x 75 = 150
Therefore, Susan's share is 150.
A living room wall is 11 feet long. How far from the corner would you have to the edge of 2ft 6in for shelf for it to be centered on the wall
11 foot wall,
the center of the wall would be 5 1/2 feet which is 5 feet 6 inches
the shelf is 2 feet 6 inches, so the center of that would be 1 foot 3 inches
5 ft 6 in - 1 ft 3 in = 4 ft 3 inches from corner
mr. brown class and mrs. farmers class collected cans for the school recycling project. mrs. farmers class collected 3 times as much as mr. browns class. together they collected 212 cans. how many cans did each class collect?
Jan began with 5/6 pound of modeling clay she used 1/5 of the clay to make decorative magnets. She divided the remaining clay into 8 equal portions what is weight of the clay in each portion?
A toy company makes wooden blocks. A carton holds 85 blocks. How many blocks can hold 19 cartons hold
A pyramid is placed inside a prism the pyramid has the same base area b as the prism but half the height of the prism the height of the prism is 30 ft which expression gives the volume of the pyramid ?
15b
10b
5b
30b
Answer:
5b
Step-by-step explanation:
Given,
The base area of the prism = base area of the pyramid = b,
Also, the height of the prism = 30 ft,
While, the height of the pyramid = [tex]\frac{\text{height of prism}}{2}[/tex]
[tex]=\frac{30}{2}=15\text{ ft}[/tex]
Now, the volume of the pyramid = [tex]\frac{1}{3}[/tex] × base area × height
[tex]=\frac{1}{3}\times b\times 15[/tex]
[tex]=\frac{15b}{3}[/tex]
= 5b ft²
Hence, THIRD option is correct.
Ebony walked at a rate of 3 1/2 miles per hour for 1 1/3 hours. how far did she walk.
Final answer:
To find how far Ebony walked, multiply her walking rate (3 1/2 miles per hour) by the time walked (1 1/3 hours), resulting in a total distance of 4.665 miles.
Explanation:
The question asks, "Ebony walked at a rate of 3 1/2 miles per hour for 1 1/3 hours. How far did she walk?" To answer this, we need to multiply the rate at which Ebony walked by the time she spent walking. The rate is 3½ (or 3.5) miles per hour, and the time is 1⅓ (or 1.333) hours.
So, the calculation is as follows:
Distance = Rate × Time
Distance = 3.5 miles/hour × 1.333 hours
Distance = 4.665 miles
Therefore, Ebony walked a total of 4.665 miles.
On a cross-country vacation, Maria filled her 14-gallon gas tank eleven times. Which is the best estimate of how many gallons of gas she put into the tank altogether. ;-;
The answer choices : 75 gallons, 150 gallons, 200 gallons, and 225 gallons.
Plz help XD
20 POINTS !! HELP FAST Cindy and Giovanni plan to make spaghetti sauce. Cindy needs 4 3/4 pounds of tomatoes for her recipe. Giovanni needs 5 3/4 pounds of tomatoes for his recipe. If they make both recipes, how many pounds of tomatoes do they need?
A. 1
B. 9
C. 9 1/2
D. 10 1/2