Answer:
Step-by-step explanation:
Let w be the width
Length = 3w +15
Perimeter = 94 cm
2*(length + width) = 94
2*(3w+15 + w) = 94
2*( 4w + 15) = 94
4w + 15 = 94/2
4w +15 = 47
4w = 47 -15
4w = 32
w = 32/4
w = 8 cm
Length = 3w +15 = 3*8 + 15 = 24 +15 = 39
Length = 39cm
Area = length * width = 39*8 = 312
Area = 312 cm²
The area of the rectangle is [tex]\( \boxe{312 \, \text{cm}^2} \).[/tex]
Step 1
Let's denote the width of the rectangle as w cm.
According to the problem, the length of the rectangle is [tex]\( 15 \)[/tex] cm more than three times its width. So, the length [tex]\( l \)[/tex] can be expressed as [tex]\( 3w + 15 \)[/tex]cm.
The perimeter P of a rectangle is given by:
[tex]\[ P = 2(l + w) \][/tex]
Given that the perimeter of the rectangle is [tex]\( 94 \)[/tex] cm, we can write the equation:
[tex]\[ 94 = 2((3w + 15) + w) \][/tex]
Step 2
Now, let's solve for [tex]\( w \)[/tex]:
[tex]\[ 94 = 2(4w + 15) \]\[ 94 = 8w + 30 \]\[ 8w = 94 - 30 \]\[ 8w = 64 \]\[ w = \frac{64}{8} \]\[ w = 8 \][/tex]
Step 3
Now that we have found the width of the rectangle to be [tex]\( 8 \)[/tex] cm, we can find its length:
[tex]\[ l = 3w + 15 \]\[ l = 3(8) + 15 \]\[ l = 24 + 15 \]\[ l = 39 \][/tex]
Step 4
Now that we have the width [tex]\( w = 8 \)[/tex] cm and the length [tex]\( l = 39 \)[/tex] cm, we can calculate the area A of the rectangle:
[tex]\[ A = l \times w \]\[ A = 39 \times 8 \]\[ A = 312 \][/tex]
So, the area of the rectangle is [tex]\( \boxe{312 \, \text{cm}^2} \).[/tex]
(4) A bookshelf is 42 inches long. How many books of length 1 & 1/2 inches will fit
on the bookshelf? *
Answer:
Let’s use easier
nbers first.
if the bookshelf was 12 inches long, and the books were 6 inches wide, how many can you fit on the shelf? If you said 2, you are correct. You actually divided to find the answer. 6/12=2.
Use the same processs with your original question.
1 1/4 / 42 = 5/4 X 1/42 = 5/168 = 33.6
answer is 33
At a local school, 940 students each wrote 40 letters to students in another country. How many letters were written in all?
37000 letters were written in all. The reason for this is because to solve this you would do 940x40 which gets you to 37000.
Answer:
37,600
Step-by-step explanation:
You have to multiply 940 and 40 because your trying to figure out the total amount of letters that were written.
940 x 40 = 37,600
you can also check your work by dividing 37,600 by any of those numbers or multiplying just to make sure.
What is the length of this? plz answer correctly
Answer:
16 cm
Step-by-step explanation:
EFP is a right angle triangle
EP² = ED² + DP²
EP² = 24² + 10²
EP² = 676
EP = 26
EF = EP - FP
EF = 26 - 10 = 16
Kendra lives 10 Km from the northern tip of swan lake and 6 Km from the southern tip of swan lake. What is the north - south distance across swan lake?
Answer:
The north - south distance across swan lake is 8 km
Step-by-step explanation:
Look to the attached figure
Kendra's house and the distances between it and the North tip, southern tip of swan lake formed a right Δ
∵ Kendra lives 10 Km from the northern tip of swan lake
- That means the length of the hypotenuse of the right Δ is 10
∴ The hypotenuse of the right Δ = 10
∵ Kendra lives 6 Km from the southern tip of swan lake
- That means the length of the horizontal leg of the right Δ is 6
∴ The horizontal leg = 6
- By using Pythagoras Theorem
∵ (hypotenuse)² = (H.leg)² + (V.leg)²
∴ (10)² = (6)² + (x)²
∴ 100 = 36 + x²
- Subtract 36 from both sides
∴ 64 = x²
- Take √ for both sides
∴ 8 = x
∴ The vertical leg of the right triangle = 8
∵ x represents the north-south distance across swan lake
∴ The north - south distance across swan lake is 8 km
What is subtracting fractions from mixed numbers for grade 4, work shert
Answer: Can't help ya if you don't show the sheet.
Step-by-step explanation:
A sports tournament has 4 teams.Each team has the same number of the players.There 12 players total.how many players does each team have.?
Answer:
3 players each
Step-by-step explanation:
12 divided by 4 is 3
Answer:
each team has 3 players because
Step-by-step explanation:
As you said the tournament has 4 team, each team has same number of players and there is 12 people in all. So,
12/4=3
3+3+3+3=12
Will y’all help me on num 21 thank you
Answer:
its D
Step-by-step explanation:
Using the distributive property answer choice is C
2/5(6x-1)
=12x/5 - 2
Choose the precise measurements 5.8mm or 6.4 m
Answer:
The more precise measurement is 5.8mm
Step-by-step explanation:
Answer:
6.4
Step-by-step explanation:
If Abby rolls two number cubes a hundred times, about how many times would she expect a product greater than 10.
Answer:
20 times ??
Step-by-step explanation:
Abby would expect to roll a product greater than 10 about 42 times in 100 rolls of two number cubes.
To determine how many times Abby would expect to roll a product greater than 10 when rolling two number cubes (dice) a hundred times, we can use probability.
Each number cube has six sides, numbered 1 through 6. When two dice are rolled, the possible products range from 1 (1*1) to 36 (6*6).
To find the probability of getting a product greater than 10, we can list out the combinations that result in products greater than 10:
(2, 6), (3, 5), (3, 6), (4, 4), (4, 5), (4, 6), (5, 3), (5, 4), (5, 5), (5, 6), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
That's a total of 15 combinations out of 36 possible combinations.
So, the probability of rolling a product greater than 10 is [tex]\( \frac{15}{36} \).[/tex]
To find out how many times Abby would expect this to happen in 100 rolls, we multiply the probability by the number of trials:
[tex]\[ \text{Expected occurrences} = \text{Probability} \times \text{Number of trials} \][/tex]
[tex]\[ \text{Expected occurrences} = \frac{15}{36} \times 100 \][/tex]
[tex]\[ \text{Expected occurrences} \approx \frac{5}{12} \times 100 \][/tex]
[tex]\[ \text{Expected occurrences} \approx 41.67 \][/tex]
So, Abby would expect to roll a product greater than 10 approximately 42 times in 100 rolls.
Choose the graph of the solution to this inequality.
c-12>-16
Answer:
Option A
Step-by-step explanation:
c - 12 > - 16
c > -16 + 12
c > -4
Inequality equations are the equation which in which the two expressions are compare with the greater than sign, less than sign or other inequality signs.The option A has the graph of the solution of the given inequality equation. Thus option A is the correct option.
Given-
The given inequality equation in the problem is,
[tex]c-12>-16[/tex]
Inequality equation-An inequality is the mathematical statement that compares the algebraic expressions using the signs of greater than (>) or less than (<) or with other inequality signs.
Arrange the inequality equation by replacing the constant, we get,
[tex]c>-16+12[/tex]
Solve the equation further to get the value of c,
[tex]c>-4[/tex]
Thus the value of point c must be greater than the -4.
In the given options the value of the graph A indicates the value -4 in it. The option A has the graph of the solution of the given inequality equation. Thus option A is the correct option.
For more about the inequality equation, follow the link below-
https://brainly.com/question/11897796
Which equation shows a greater rate?
y=x + 2
y=3x - 2
y=4x + 1
y=2x - 1
Answer:
im gonna have to say C
Step-by-step explanation:
Solve of x:
0.5(4x + 6) = 5x + 24.7
Answer:
[tex]0.5(4x + 6) = 5x + 24.7 \\ 2x + 3 = 5x + 24.7 \\ 3 - 24.7 = 5x - 2x \\ - 21.7 = 3x \\ \frac{ - 21.7}{3} = \frac{3x}{3 } \\ x = - 7.2333[/tex]
Answer:
x=-37.4
Step-by-step explanation:
0.5(4x + 6) = 5x + 24.7 (0.5*4x=4.5x)
4.5x+6=5x+24.7
4.5x-5x+6=5x-5x+24.7
-0.5x+6=24.7
-0.5x+6-6=24.7-6
-0.5x=18.7
-0.5x/-0.5=18.7/-0.5
x=-37.4
In a certain Algebra 2 class of 26 students, 16 of them play basketball and 9 of them play baseball. There are 5 students who play both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball?
Answer:
10/13 ≈ 76.9%
Step-by-step explanation:
P(A∪B) = P(A) +P(B) -P(A∩B)
P(plays basketball ∪ plays baseball)
= P(plays basketball) +P(plays baseball) -P(plays both)
P(plays basketball ∪ plays baseball) = 16/26 +9/26 -5/26 = 20/26 = 10/13
P(plays basketball or baseball) = 10/13 ≈ 76.9%
Answer:
The answer is 11 percent.
Find the Mean from the line plot. Show your work and explain how you solved using First, Next, and Last.
Answer:
mean is 5
Step-by-step explanation:
MEANmean is regarded as the average number of items
mean formula:(sum of terms) / (number of terms)
Firstlythe numbers in the data set are :
3,3,3,4,6,6,7,8
they are already arranged in order, so no need to rearrange.
Nextadd the numbers together to find the total :
3 +3 +3 +4 +6+ 6+7 +8
= 40
ALSO,
find how many number of terms they are --- this is 8
Last
use the mean formula to solve :
(sum of terms) / (number of terms)
= 40/8
= 5
the mean is the 5Trina's car uses 12 gallons of gas to travel 144 miles. If she has 6 gallons of gas in the tank, how much more gas will she need to drive 240 miles?
Answer: 14gallons
Step-by-step explanation:
12gallons/144miles = 1gallon/12miles
Therefore 6gallons = 12*6 = 72miles.
In order to cover 240miles, she will need 240/12 = 20gallons.
20-6 = 14gallons
She will need 14gallons of gas more.
mr alvarez tells his students that next math test has 50 questions. he also says 20% will be word problems. the students want to know how may word problems will be in the test
20% is 0.20
If 20% of 50 questions are word problems,
Then 0.20 * 50 questions are word problems.
0.20 * 50 = 10
what is the reciprocal of -5/6
A.6/5
B.-6/5
c. 5/6
Answer:
B.
Step-by-step explanation:
Reciprocal is a term taken so that the answer we get becomes 1 of the given term
So
-5/6*-6/5
We get
1
the correct answer is B
You basically just have to switch the two numbers
Which of the following statements about a linear function is never true?
A. The graph of a linear function is a straight line.
B. Two ordered pairs that have the same x-coordinates but different y-coordinates determine a linear function.
C. Every linear function has a corresponding equation.
D. The slope between any two points on the line that is the graph of a linear function is constant.
Answer:
the answer is B
Step-by-step explanation:
you cant have the same x coordinate and it be a linear function
It is impossible that two ordered pairs can form a linear function. (Correct choice: B)
How to analyze linear functionsLinear functions are first order polynomials which graph is a straight line and whose slope is constant for every ordered pair. The domain and range of linear functions represent all real numbers, indicating a continuous nature within the function.
Hence, a linear function is only formed by infinite set of points. Hence, it is impossible that two ordered pairs can form a linear function. (Correct choice: B) [tex]\blacksquare[/tex]
To learn more on linear functions, we kindly invite to check this verified question: https://brainly.com/question/17058347
Susan finds 2 pints 1 cup of water evaporated from the class aquarium. How many pints of water are left in the aquarium?
Answer: 1.5 US PINTS
Step-by-step explanation:
Brainliest plz
Answer: 1.5 pints
Step-by-step explanation:
Cual es el volumen en metros cúbicos y en litros de 300 N de aceite de oliva cuyo peso especifico es de 9016 N/ m3
SPANISH
Como el peso específico del objeto es Y = 9016 N / m ^ 3, puede ver que será Y = 300 N / V m ^ 3
V (m ^ 3) = 300 N / (9016 N / m ^ 3)
V (m ^ 3) = 0, =. 033 m ^ 3
1 Litro es 0,001 m ^ 3
(.033 m ^ 3) * (1 L / 0,001 m ^ 3) = 35,937 L
ENGLISH
Since the specific weight of the object is Y = 9016 N/ m^3 you can see that it will be Y = 300 N / V m^3
V(m^3) = 300 N / (9016 N/m^3)
V(m^3) = 0,=.033 m^3
1 Litro es 0,001 m^3
(.033 m^3) * (1 L / 0,001 m^3) = 35,937 L
Espero que esto ayude, ahora sabes la respuesta y cómo hacerlo. ¡QUE TENGAS UN DÍA BENDITO Y MARAVILLOSO! :-)
- Cutiepatutie ☺❀❤
The specific weight is the weight of the per unit volume of a material. The volume of the olive oil is 34 L.
What is specific weight?The specific weight is the weight of the per unit volume of a material. It is given by the formula,
[tex]\rm Specific\ Weight, \gamma= Density \times g = \dfrac{Weight}{Volume}[/tex]
As the weight of the oil is given and the specific density is also given, therefore, we can find volume as,
[tex]\rm \gamma = \dfrac{Weight}{Volume}\\\\\rm 9016= \dfrac{300}{Volume}\\\\Volume = \dfrac{300}{9016}\\\\Volume = 0.0333\ m^3[/tex]
Now, we know that 1 m³ = 1000 litres, therefore,
[tex]\rm Volume = 0.034\ m^3\\\\Volume = (0.034 \times 1000)\ liters\\\\Volume = 34\ liters[/tex]
Hence, the volume of the olive oil is 34 L.
Learn more about Specific Weight:
https://brainly.com/question/13264782
Sue bought 3.5 yards of material at $8.70 per
yard and 5 yards of lace trim. She spent $32.90 in
total. Calculate the cost of 1 yard of lace trim.
Answer: $.49
step explanation:
Sue bought 3.5 yards of material at $8.70 per yard (3.5x8.70=30.45)
Sue also bought 5 yards of lace trim.
Her total was 32.90 and we want to find out how much the lace trim cost.
We will subtract the initial material to get the subtotal cost for just the lace trim. (32.90-30.45=2.45)
5 yards of lace trim total up to $2.45. To get how much each yard cost we will divide (2.45÷5=.49)
Each yard of lace trim costs $.49 cents
What is the area, in square units, of the parallelogram shown below?
A parallelogram ABCD is shown with height of 10 units and base 6 units
(1 point)
30 square units
60 square units
80 square units
90 square units
Option B:
Area of the parallelogram = 60 square units
Solution:
Given ABCD is a parallelogram.
Height of the parallelogram = 10 units
Base of the parallelogram = 6 units
To find the area of the parallelogram:
Area of the parallelogram = Base × Height
= 6 × 10
= 60
Area of the parallelogram = 60 square units
Hence option B is the correct answer.
Answer:
B. 60 Square Units
Step-by-step explanation:
To find the area of a parallelogram, it is the same formula to find a rectangles area. L x H or Base x Height.
Have a great day!
Jen's garden is 4 feet wide and gas ab area of 28 square feet. What is the length of Jne's garden? how do you know
Answer:
The Length is 7
Step-by-step explanation:
If Jen has a garden with a total area of 28 square feet and it is 4 feet wide to find the length you will divide the total area with the width. This should give you the length of the Garden which is 7. To double check your answer you can multiply the width with the length to get the total area of 28 square feet.
The length of Jen's garden is 7 feet, calculated by dividing the area of 28 square feet by the width of 4 feet.
Explanation:To find the length of Jen's garden, we need to use the information about the garden's area and width. The area of a rectangle (which is the shape we can assume the garden is) is calculated by multiplying the length by the width. Given that Jen's garden has an area of 28 square feet and a width of 4 feet, we can set up the following equation:
Area = Length × Width
28 square feet = Length × 4 feet
To solve for the length, divide both sides of the equation by 4 feet:
Length = 28 square feet / 4 feet
Length = 7 feet
Therefore, the length of Jen's garden is 7 feet. This is how we determine the dimensions of a garden plot by using multiples of length and width. To actually measure the garden, one would use a measuring tape.
Pyramids A and B are similar. Pyramid A has a height of 8 in., and Pyramid B has a height of 24 in. Pyramid A has a volume of 384 in3. What is the volume of pyramid B?
Answer:142
Step-by-step explanation:no
The volume of Pyramid B can be calculated by using the ratio of the heights of the similar pyramids, cubed. As the height of Pyramid B is 3 times the height of Pyramid A, its volume is 27 times greater. Thus, Pyramid B has a volume of 10368 cubic inches.
Explanation:
Calculating the Volume of Similar Pyramids
To solve this problem, we can use the properties of similar figures. When two pyramids are similar, the ratio of their volumes is equal to the cube of the ratio of their corresponding linear dimensions. In this case, Pyramid A has a height of 8 inches and a volume of 384 cubic inches. Pyramid B is similar to Pyramid A but has a height of 24 inches, which is 3 times the height of Pyramid A (since 24 in. / 8 in. = 3).
Since the pyramids are similar, the ratio of their volumes will be the cube of the ratio of their heights (in this case, 33 or 27). Therefore, the volume of Pyramid B will be 27 times greater than the volume of Pyramid A.
To find the volume of Pyramid B, we simply multiply the volume of Pyramid A by this ratio:
Volume of Pyramid B = Volume of Pyramid A × (ratio of heights)3Volume of Pyramid B = 384 [tex]in^3[/tex] × 27Volume of Pyramid B = 10368 [tex]in^3[/tex]Thus, the volume of Pyramid B is 10368 cubic inches.
What are the values of x in the equation shown
2|3x-4|=20
Answer:14/3
Step-by-step explanation:
2(3x-4)=20
Divide both sides by2
2(3x-4)/2=20/2
3x-4=10
Add 4 to both sides
3x-4+4=10+4
3x=14
Divide both sides by 3
3x/3=14/3
x=14/3
Maggie creates the fraction models shown to find the value of 1 3/4 divided by 2/3
Answer: where is them model
Step-by-step explanation:
A taxi ride costs $3 plus $2.50 per mile. Write and graph an equation in two variables that represents the total cost of a taxi ride. Let m represent number of miles and c represent the total cost (in dollars) of the taxi ride.
Answer:
3 + 2.50m = c
Step-by-step explanation:
Since you don't know how many miles you are traveling in the taxi, you can use the variable m to represent miles. 3 is the original fee. So, 3 + 2.50m = c is your answer.
help plz
4/5 n =2/3 . n = ___?
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
[tex]\frac{4}{5}[/tex] n = [tex]\frac{2}{3}[/tex]
First you must divide both sides by [tex]\frac{4}{5}[/tex] which gives you:
[tex]\frac{\frac{2}{3} }{\frac{4}{5} }[/tex]
Now you must multiple the numerator by the reciprocal of the denominator:
[tex]\frac{2}{3}[/tex] * [tex]\frac{5}{4}[/tex] = [tex]\frac{10}{12}[/tex] = [tex]\frac{5}{6}[/tex]
Three interior angles of a quadrilateral have measures of 111°, 134°, and 69º. Whats the fourth angle measure?
Answer:
Step-by-step explanation:
sum of for angles of a quadrilateral=360
111+134+69+x=360
314+x=360
x=360-314=46
fourth angle=46°
Find the measure of angle x in the figure below: A triangle is shown. At the top vertex of the triangle is a horizontal line aligned to the base of the triangle. The angle formed between the horizontal line and the left edge of the triangle is shown as 57 degrees, the angle formed between the horizontal line and the right edge of the triangle is shown as 61 degrees. The angle at the top vertex of the triangle is labeled as y, and the interior angle on the right is labeled as 67 degrees. The interior angle on the left is labeled as x. 35° 47° 51° 62°
Answer:
Step-by-step explanation:
35° 47° 51° 62° isnt that of a pickelll to fry you need 79 into the mix your welcome :D