the other line segment would measure"
6^2 = 2^2 + x^2
36 = 4 + x^2
32 = x^2
x = sqrt(32)
x =4sqrt(2) or 5.6568 ( round decimal as needed)
A veterinarian needs to know an animal's weight in kilograms. If 20 pounds is about 9 kilograms and a dog weighs 30 pounds, use a ratio table to find the dogs weight in kilograms.
What is the solution to the equation 1/6n =2?
A number x plus 10 is more than 2
m+2m+(2m+16)+(m-10)=150 please help me solve.
what fraction of £3.00 is 50p
A bus seats 4 people in a row, and there are 12 rows. How many people would fit on 2 buses?
math question down below
the product of a number and 2.5 is 375. find a number
Select the next two terms in the pattern. 0.4, 2, 10, 50, . . .
The table represents some points on the graph of a linear function. What is the rate of change of y with respect to x for this function?
X | Y
-9 | 5
0 | 3
9 | 1
X+6y=29
2x-4y=-6
Solve for x in the first equation
Final answer:
To solve for x in the equation X + 6y = 29, subtract 6y from both sides to isolate x, resulting in x = 29 - 6y. The solution for [tex]\( x \)[/tex] in the first equation is [tex]\( x = \frac{19}{2} \).[/tex]
Explanation:
To solve for [tex]\( x \)[/tex] in the first equation [tex]\( x + 6y = 29 \)[/tex], we can isolate [tex]\( x \)[/tex] by subtracting [tex]\( 6y \)[/tex] from both sides of the equation:
[tex]\[ x + 6y - 6y = 29 - 6y \][/tex]
[tex]\[ x = 29 - 6y \][/tex]
Now, we can substitute this expression for [tex]\( x \)[/tex] into the second equation [tex]\( 2x - 4y = -6 \):[/tex]
[tex]\[ 2(29 - 6y) - 4y = -6 \][/tex]
First, distribute the 2:
[tex]\[ 58 - 12y - 4y = -6 \][/tex]
Combine like terms:
[tex]\[ 58 - 16y = -6 \][/tex]
Next, isolate the term with [tex]\( y \)[/tex] by adding [tex]\( 16y \)[/tex] to both sides:
[tex]\[ 58 - 16y + 16y = -6 + 16y \][/tex]
[tex]\[ 58 = -6 + 16y \][/tex]
Now, isolate [tex]\( y \)[/tex]by subtracting 6 from both sides:
[tex]\[ 58 - 6 = 16y \][/tex]
[tex]\[ 52 = 16y \][/tex]
Finally, solve for [tex]\( y \)[/tex] by dividing both sides by 16:
[tex]\[ \frac{52}{16} = y \][/tex]
[tex]\[ y = \frac{13}{4} \][/tex]
Now that we have found the value of [tex]\( y \)[/tex], we can substitute it back into the expression we found for[tex]\( x \)[/tex]:
[tex]\[ x = 29 - 6\left(\frac{13}{4}\right) \][/tex]
[tex]\[ x = 29 - \frac{39}{2} \][/tex]
[tex]\[ x = \frac{58}{2} - \frac{39}{2} \][/tex]
[tex]\[ x = \frac{19}{2} \][/tex]
Therefore, the solution for [tex]\( x \)[/tex] in the first equation is [tex]\( x = \frac{19}{2} \).[/tex]
The Nash family spent a total of $240 on a hotel room for 3 nights. Which equation can be used to find c, the average cost per night for the hotel room?
Answer:
240 divided by 3 = c
Step-by-step explanation:
Tricky...it is $240 for all 3 nights....not $240 per night. So it is division NOT multiplication.
Tom used 5/8 yard of ribbon to tie weights on the tail of his kite. He cut the length of ribbon into equal pieces that were 1/12 yard long. How many pieces, each 1/12 yard long, did Tom cut from the 5/8 yard ribbon?
Final answer:
Tom was able to cut 7.5 pieces of ribbon that were 1/12 yard long from a total length of 5/8 yard, which normally rounds down to 7 full pieces.
Explanation:
Tom cut his 5/8 yard ribbon into pieces that were 1/12 yard long. To find out how many such pieces Tom could cut, you divide the total length of ribbon by the length of each piece:
Calculate how many 1/12 yard pieces are in one yard by dividing 1 by 1/12. This equals 12, which means there are 12 pieces of 1/12 yard in one yard.
Multiply 5/8 by 12 to find out how many 1/12 yard pieces are in 5/8 of a yard. (5/8) * 12 = 7.5
Therefore, Tom was able to cut 7.5 pieces of ribbon, each measuring 1/12 yard. Since you can't have half a piece of ribbon, we would round down to 7 pieces (the question remains if the leftover could form a full piece, but based on the initial information, it's assumed to not be a full piece).
PLEASE HELP I WILL GIVE 50 POINTS
Mr. Rijo bought 49 bags of soil one week and 28 bags of soil the next week. Which expression correctly applies the distributive property to show equivalent expressions for the number of bags of soil he bought?
49 + 28 = 4(7 + 7)
49 + 28 = (7)(7) + (14)(2)
49 + 28 = (7)(14) + (7)(7)
49 + 28 = 7(7 + 4)
Answer:
7
Step-by-step explanation:
complete the table. then describe a pattern in the decimal forms o the fractions.
two thirds of a number decreased by six is two. what is the number?
Simone peeled 14 potatoes in 1/5 hour. At this rate, how many potatoes can Simone peel in one hour?
basking in the sun
swimming
increasing or decreasing activity level
These are all activities a cold-blooded reptile may do to maintain
A) homeostasis.
B) body weight.
C) peer dominance.
D) blood sugar levels.
The kidneys are organs in the human body that have multiple functions. One critical function is to maintain the pH of the blood at a precise level. What biological process involves the maintenance of a constant internal environment?
A) homeostasis
B) lysis
C) metabolism
D) osmosis
Trevon, Leah, and Beth are playing a computer game. Trevon scores -8. Beth’s score was 3/4 of trevons score, and Leah’s score was 1/4 of Beth’s score. What was Leah’s score
Answer:
[tex]-1.5[/tex]
Step-by-step explanation:
We have been given that Beth's score is 3/4 of Trevon's score.
[tex]\text{Beth's score}=-8\times \frac{3}{4}[/tex]
[tex]\text{Beth's score}=-2*3[/tex]
[tex]\text{Beth's score}=-6[/tex]
We are also told that Leah’s score was 1/4 of Beth’s score.
[tex]\text{Leah's score}=-6\times \frac{1}{4}[/tex]
[tex]\text{Leah's score}=-\frac{3}{2}[/tex]
[tex]\text{Leah's score}=-1.5[/tex]
Therefore, Leah score was [tex]-1.5[/tex].
four-fifths of a number minus two is greater than three-tenths of twice that number/7149414/48fd5230?utm_source=registration
Greta uses 3 cups of pasta for every 3/4 cup of sauce. How much pasta does she use per vip of sauce?
Which expressions are equivalent to 4b?
Options:
b+2(b+2b)
3b+b
None of the above
2/3 of 24 bananas is what
What is 2 and 5/14 divided by (2 and 5/8 times 1 and 3/7)?
To divide 2 and 5/14 by (2 and 5/8 times 1 and 3/7), convert the mixed numbers to improper fractions, multiply the fractions in the denominator and numerator separately, and then divide by multiplying by the reciprocal of the second fraction. The final answer is 44/5.
Explanation:To divide 2 and 5/14 by (2 and 5/8 times 1 and 3/7), we first need to convert the mixed numbers into improper fractions. 2 and 5/14 can be written as 33/14, 2 and 5/8 can be written as 21/8, and 1 and 3/7 can be written as 10/7. Next, we can multiply the fractions in the denominator and the fractions in the numerator separately. So (2 and 5/8 times 1 and 3/7) becomes (21/8 times 10/7). This can be simplified to (105/8 times 10/7). We then multiply the numerators (105 * 10) and the denominators (8 * 7) resulting in 1050/56.
Now we can divide 33/14 by 1050/56. Division is the same as multiplying by the reciprocal of the second fraction. So 33/14 divided by 1050/56 is the same as 33/14 times 56/1050. We can simplify this by canceling common factors. After canceling, we are left with (33 * 8) / (2 * 15), which becomes 264/30. Finally, we can reduce this fraction to its simplest form by dividing the numerator and denominator by their greatest common factor, which is 6. So the final answer is 44/5.
Learn more about Dividing mixed numbershttps://brainly.com/question/30786461?referrer=searchResults
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-33 < -7n - 12 < -26
How many decimal places are in the product of 1.91 and 2.3?
richard bought rolls for a bbq he bought 4 1/4 dozen wheat rolls and 5 2/3 snowflake rolls if 4 1/3 were eaten at the bbq how many dozen rolls does richard have left
Answer: Richard has 5 7/12 rolls left.
Step-by-step explanation:
Hi to answer this question, first, we have to sum the amount of rolls Richard bought for the bbq:
4 1/4 + 5 2/3 = 4 3/12 + 5 8/12 = 9 11/12
Finally we have to subtract the amount of rolls eaten at the bbq to the previous number.
9 11/12 - 4 1/3 = 9 11/12 - 4 4/12= 5 7/12
So, Richard has 5 7/12 rolls left.
Feel free to ask for more if needed or if you did not understand something.
Paula weighed 65.5 kilograms before she started training she as lost 3500grams how much does she weigh
1 kilogram = 100 grams
3500 / 1000 = 3.5 kilograms
65.5 - 3.5 = 62
she weighs 62 kilograms
The graph of an inequality is an open circle around the number five with the line shaded to the right of five. Which inequality could this represent?