Final answer:
To find the unknown number for the rectangle's dimensions, we set up an equation based on the perimeter formula. Solving this equation, we find that the value of the unknown number is 12 inches.
Explanation:
To solve this problem, we need to find the unknown number given that the short sides of the rectangle are 2 inches each, and the long sides are three less than an unknown number of inches. The perimeter of the rectangle is given as 22 inches.
First, let's denote the unknown number as x. The formula for the perimeter of a rectangle is 2 times the width + 2 times the length. Here, the width is 2 inches, and the length is x - 3 inches.
So, the equation becomes:
2(2) + 2(x - 3) = 22
Solving for x:
4 + 2x - 6 = 22
2x - 2 = 22
2x = 24
x = 12
Therefore, the value of the unknown number is 12 inches.
Antoine and 3 friends divide some pennies evenly among themselves. Each friend separates his pennies into 3 equal stacks with 5 pennies in each stack. write a multiplication sentence that shows
Answer:
4 × ( 3 × 5 ) = 60
Step-by-step explanation:
Answer:
4 × (3 × 5) = 60
Step-by-step explanation:
Total number of persons including Antony = 4
Number of stacks separated by each friend = 3
Number of pennies in each stack = 5
Number of pennies in all 3 stacks of one friend = 3 × 5
Number of pennies in all 3 stacks of 4 persons = 4 × (3 × 5) = 60
Hence, the multiplication sentence is 4 × (3 × 5) = 60.
Lyza has a 9 inch board. She wants to measure the length of a small rug in feet. How can she do this?
The length of a small rug in feet is 0.75.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Lyza has a 9-inch board.
She wants to measure the length of a small rug in feet.
For that,
divide the length by 12 inches.
Measure of the small rug,
= 9/12
= 0.75 feet.
Therefore, 0.75 feet is the small rug.
To learn more about the division;
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When adding 51.2 to a certain number, the sum is 56.05, as seen below. What number should go in the box to complete the addition problem?
slope slopeeeeeeee slopeeee
Which ratio forms a proportion with 18/27?
A. 1/3
B. 2/5
C. 2/3
D. 7/9
Answer:
C. [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The proportions are nothing but the equivalent ratios.
We are given the proportion = [tex]\frac{18}{27}[/tex]
We can reduce this proportion using the Greatest Common Factor (GCF).
The GCF of 18 and 27 is 9.
Therefore, dividing the numerator and the denominator by 9, we get
= [tex]\frac{18divide9}{27divide9}[/tex]
= [tex]\frac{2}{3}[/tex]
Therefore, the answer is C. [tex]\frac{2}{3}[/tex]
What is the length of the hypotenuse?
lesson 7 homework practice convert measurment unit
The correct option is d. 8 oz. can of juice is most convenient to meet this requirement.
First, let's convert 240 milliliters to ounces because the answer choices are in ounces.
1 milliliter is approximately equal to 0.0338 ounces.
So, 240 milliliters is approximately \( 240 \times 0.0338 \) ounces, which is about 8.112 ounces.
Now, let's examine the options:
a. 5 oz. can of juice: Not enough juice. It's less than the required 8.112 ounces.
b. 4 oz. can of juice: Not enough juice. It's less than the required 8.112 ounces.
c. 12 oz. can of juice: More than enough juice. It's more than the required 8.112 ounces.
d. 8 oz. can of juice: Exactly the amount needed. It matches the required 8.112 ounces.
Since the resident is supposed to have 240 milliliters of juice every 2 hours, and 240 milliliters is approximately 8.112 ounces, the closest can size that would meet this requirement without being wasteful is an 8 oz. can. The 5 oz. and 4 oz. cans would not provide enough juice, and the 12 oz. can would provide more than necessary, potentially leading to waste or overconsumption. Therefore, the 8 oz. can is the most convenient and appropriate choice.
A boa constrictor is 18 inches long at birth and grows 8 inches per year. Write an equation that represents the length Y (in feet) of a boa constrictor that is X years old.
This is writing equations in slope intercept form and I tried y=8x+18 but it didn't work.
Final answer:
The length Y (in feet) of a boa constrictor that is X years old is given by the equation Y = 0.6667X + 1.5. This equation takes into account the initial length of 1.5 feet at birth and an annual growth of 0.6667 feet.
Explanation:
To write an equation representing the length Y (in feet) of a boa constrictor that is X years old, we need to start with its initial length at birth and account for its growth over the years. The boa constrictor is 18 inches long at birth and grows 8 inches per year. However, we want Y to be in feet, so we must convert these measurements from inches to feet (since 1 foot = 12 inches).
To convert the initial length from inches to feet, we divide 18 inches by 12, which gives us 1.5 feet. The annual growth should also be converted from inches to feet by dividing 8 inches by 12, resulting in approximately 0.6667 feet.
So, using slope-intercept form (Y = mx + b), our equation is:
Y = 0.6667X + 1.5
This equation states that the boa constrictor starts with a length of 1.5 feet at birth (Y-intercept) and grows about 0.6667 feet for every year that passes (the slope).
Write an equation in slope intercept form for the total cost of any number of tickets at 7 tickets for $5
Sujat has 3 jump-ropes. The red jump-rope is 75 inches long. The blue jump-rope is 5 feet long. And the yellow jump-rope is 2 yards long. Decide which rope is longest, which is shortest, and which is in the middle.
Andrea ordered a computer on the internet the computer cost $1399 plus 6 1/2% sales tax what was the total amount Andrea paid for her computer?
Answer:
$1489.94
Step-by-step explanation:
6 1/2 in decimal form would be 0.065
Multiply total by decimal.
1399 x 0.065
= 90.935
Add sum to total.
90.935 + 1399
= 1489.935
In money it would be rounded to
$1498.94
what is the answer to 38-19+12
To solve the expression 38-19+12, we subtract 19 from 38, resulting in 19, and then add 12 to get an answer of 31.
To solve the expression 38-19+12, we should follow the proper order of operations, which in this case, simply requires us to perform the subtraction and addition in the sequence they appear from left to right. First, subtract 19 from 38, then add 12 to the result.
Subtract 19 from 38, which equals 19 (38 - 19 = 19).
Add 12 to the result from step 1, which gives us 31 (19 + 12 = 31).
Therefore, the answer to the expression is 31.
What is the slope intercept form of the linear equation x + 4y = 12
If hot dog buns come in packages of 6 and hot dog buns come in packages of 8 what is the least number of hot dog and buns you could buy to have the same number of hot dogs and buns?
Help evaluating the question for 14,16
lee walked a total of 4.48 miles. he walks 1.4 miles each hour. how long did lee walk?
is this scientific notation? 0.99×10^12
Atlantic Auditorium has 850 seats. Tickets were sold for 816 of the seats. For what percent of the seats were tickets sold?
Answer:
96%
Step-by-step explanation:
Just divide 850 and 816 and you will get 0.96 which is 96 %.
balance the equation out by filling in the blank for the missing number
89 - 45 = 90 - ____
with an examle
Members of the Blade runners skating club collected $950 from fundraising activities.They want to buy Altrablade skates, which are $48 a pair. How many pairs of skates can they buy? What does the remainder represent
Answer:
19 pairs
need 21% of $48 to buy 20th pair
Step-by-step explanation:
If the members collected $950 and they want to by Altrablade skates for $48 a pair, the amount of pairs of skates can be determine by dividing the total amount collected by the cost per skates:
[tex]950/48=19.79=19[/tex]
They can buy 19 pairs of skates by the remainder is 0.79. This represents the amount still needed to buy the 20th pair of skates. So they would need 21% of the $48 to buy a extra pair.
compare the ratios 9/2 and 10/7
what expression can be used to find the total discount $42 30%
What number does ▲ stand for in this equation?
6 × 3 = (▲ × 5) – (▲ × 2)
If 2 feet on a model represent 1/4 inch, then how many feet represent 1 inch
Replace each with <, >, or = to make a true sentence.
–6 −4
23×42+ 12×23+23×23+12×32
Answer:
2,155
Step-by-step explanation:
Marco has a jug with 37 1/2 ounces of juice .he wants to use some small cups to pass out as samples of the juice .each cup holds 2 1/2 of juices .how many cup can Marco fill with juice samples
The value of Maggie's car decreased by 10% since last year, when she bought it. If the car is now worth $17,000.00, how much was the car worth when she bought it?
A.
$20,000.00
B.
$18,700.00
C.
$18,888.89
D.
$17,894.74
9 and 3/4 divided by 4 and 1/8 as a fraction or mixed number in simplest form
is 3/2 and 18/8 proportional