Help on both please ! Im a new student at this school and didn't learn this
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The second one you turn them into improper fractions like I told you how to before (multiply the bottom number by the whole number then add he top number, then add he same denominator.) do that for both. Then you line them right next to each other and multiply across. (I just realized that they were the same number so they are equal to 5/3 and 11/5)
Then you do 5x11 and you get 55 then do 3x5 and you get 15. 55/15 is your answer, but you need to simplify it, you need to divide 55 by 15, (not all the way just the first number) so you do 15x3 and that's 45, then you subtract that from 55, and you get 10, so then you take your denominator (15) and you answer is 3 10/15. But when you simplify it it's 3 and 2/3
Hope I helped sorry it's so long and sorry for any typos it's so long I didn't go back and check
Related Questions
A customer went to a garden shop and bought some potting soil for 17.50 and 4 shrubs. The total bill was 53.50. Write and solve an equation to find the price of each shrub.
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Answer:
Each shrub is $9.
Step-by-step explanation:
You are looking for the price of the shrub plants. Since you know that the plants' price with the soil's price totals the purchase at $53.50, your equation should look like this:
[tex]4p + 17.50 = 53.50[/tex]
After that, use the order of operations to solve the price of the shrubs.
[tex]4p + 17.50 = 53.50 \\4p + 17.50-17.50 = 53.50-17.50\\4p = 36\\4p/4 = 36/4\\p=9[/tex]
A Class 2 truck weighs between 6,000 and 10,000 pounds. What is the weight range in tons?
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To convert from pounds to tons, divide the number of pounds by 2,000. A Class 2 truck, which weighs between 6,000 and 10,000 pounds, would weigh between 3 and 5 tons.
To convert the weight range of a Class 2 truck from pounds to tons, we must know the unit equivalence that 2,000 pounds is equal to 1 ton. Since we're converting from a smaller unit (pounds) to a larger unit (tons), we need to divide.
The lower end of the range:
6,000 pounds / 2,000 pounds per ton = 3 tons
The upper end of the range:
10,000 pounds / 2,000 pounds per ton = 5 tons
Therefore, a Class 2 truck weighs between 3 and 5 tons.
Marianne spends $9.45 on greeting cards. Each card costs the same amount. What is the cost of one greeting card?
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The cost of one greeting card Marianne bought is $9.45/x.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Marianne spends $9.45 on greeting cards, and let she bought 'x' numbers of cards.
Therefore, As the cost of each greeting card is the same, The cost of one card can be obtained by dividing the total cost by the total number of cards which is,
= $(9.45/x).
So, The cost of one greeting card is $(9.45/x).
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Carlos is using the distributive property to evaluate the expression 14(49) by using friendlier numbers. His work is shown below.<br /><br />
Carlos’s Work<br /><br /><br /><br /><br />
14(49) <br /><br /><br />
Step 1 <br /><br />
14(40 + 9) <br /><br /><br />
Step 2 <br /><br />
14(40) + 9 <br /><br /><br />
Step 3 <br /><br />
560 + 9 <br /><br /><br />
Step 4 <br /><br />
569 <br /><br /><br /><br />
What was the .
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The first error that Carlos made was B) Step 2 should have been 14(40) + 14(9).
We can analyze Carlos's work and the suggested steps to determine the first error:
Analysis of Errors:
Step 1:
49 was split into 40+9, which is correct.
Step 2:
This step should distribute 14 to both 40 and 9 and not only to 40.
Correct version:
14×40+14×9.
Step 3:
Carlos only computed 14×40 and ignored multiplying 14×9.
The correct version calculates both parts as
14×40 = 560 and 14×9 = 126.
Step 4:
The addition of 560+9 is wrong since it doesn't account for the correct 126 from 14×9.
Correct version should add 560+126 to get 686.
Thus, the first error Carlos made was in Step 2, where he incorrectly distributed 14 only to 40 and not to 9, failing to apply the distributive property.
Complete Question:
Carlos is using the distributive property to evaluate the expression 14 (49) by using friendlier numbers. His work is shown below. Carlos’s Work 14 (49)
Step 1: 14 (40 + 9)
Step 2: 14 (40) + 9
Step 3: 560 + 9
Step 4: 569
What was the first error that Carlos made?
A) Step 1 should have been 14(7 + 7).
B) Step 2 should have been 14(40) + 14(9).
C) Step 3 should have been 23(40).
D) Step 4 should have been 5,040.
What is the volume of the box pictured below?
A 8/9 cubic foot
B 9/10 cubic foot
C 1 1/15 cubic feet
D 1/3 cubic feet
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[tex]\displaystyle \\ V = \frac{2}{3} \times \frac{5}{6}\times 1\frac{3}{5}= \\ \\ =\frac{2}{3} \times \frac{5}{6}\times \frac{1\times 5+3}{5}= \\ \\ =\frac{2}{3} \times \frac{5}{6}\times \frac{8}{5}= \\ \\ =\frac{2 \times 5 \times 8}{3 \times 6 \times 5} =\frac{2 \times 8}{3 \times 6 } =\frac{ 8}{3 \times 3 } =\boxed{\frac{ 8}{9 } ~\text{foot}^3}[/tex]
x+4/5=11 what is the value of x
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Multiply 5 on both sides
x + 4= 55
Subtract 4 on both sides
Final Answer: x= 51
To find the value of x in the equation x + 4/5 = 11, you subtract 4/5 from both sides and then simplify the resulting fraction, giving you x = 10.2.
To solve the equation x + {4}/{5} = 11, we need to isolate the variable x. First, subtract rac{4}{5} from both sides of the equation:
x + {4}/{5} - {4}/{5} = 11 - {4}/{5}
This simplifies to:
x = 11 - {4}/{5}
To subtract the fraction from 11, which is a whole number, we can write 11 as a fraction with the same denominator:
x = {55}/{5} - {4}/{5}
Now, subtract the numerators:
x = {55 - 4}/{5}
x = {51}/{5}
Finally, divide 51 by 5:
x = 10.2
what is the value of the expression 8^-2
Answers
Mary having her living room and bedroom painted. Interior Designs USA charges $60.00 to evaluate the space plus $35.00 per hour of labor. Splash of Color charges $55.00 per hour with no initial fee. Which of the following are true? Select all that apply.
Answers
The true statement are as follows:
If it takes more than 5 hours to paint the rooms, Splash of Color will be more cost effective.If it takes 3 hours to paint the rooms, both companies will charge the same amount.Here's a breakdown of why each statement is true or false:
True:
If it takes more than 5 hours to paint the rooms, Splash of Color will be more cost effective. As the painting time increases, the hourly rate becomes a bigger factor, and Splash of Color's lower rate outweighs Interior Designs USA's initial fee advantage.
If it takes 3 hours to paint the rooms, both companies will charge the same amount. Both companies will charge 3 hours of labor at their respective rates: $35/hour * 3 = $105 for Interior Designs USA and $55/hour * 3 = $165 for Splash of Color.
False:
If it takes 7 hours to paint the two rooms, Interior Designs USA will charge the least. Interior Designs USA will cost $60 + $35/hour * 7 = $315, while Splash of Color will cost $55/hour * 7 = $385.
Splash of Color will always charge the least. This is not true because Interior Designs USA can be cheaper for smaller jobs due to their lack of an initial fee (e.g., 1 hour painting time).
If it takes 10 hours to paint the rooms, Splash of Color will charge $200 more than Interior Designs USA. Splash of Color will cost $55/hour * 10 = $550, while Interior Designs USA will cost $60 + $35/hour * 10 = $410. The difference is actually $140, not $200.
Complete question:
Mary having her living room and bedroom painted. Interior Designs USA charges $60.00 to evaluate the space plus $35.00 per hour of labor. Splash of Color charges $55.00 per hour with no initial fee. Which of the following are true? Select all that apply.
If it takes 7 hours to paint the two rooms, Interior Designs USA will charge the least.Splash of Color will always charge the least.If it takes more than 5 hours to paint the rooms, Splash of Color will be more cost effective.If it takes 10 hours to paint the rooms, Splash of Color will charge $200 more than Interior Designs USA.If it takes 3 hours to paint the rooms, both companies will charge the same amount.Lee has a jar of 100 pennies. She adds groups of 10 pennies to the jar. She adds 5 groups. What numbers does she say?
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100 + 10 = 110
110 + 10 = 120
120 + 10 = 130
130 + 10 = 140
140 + 10 = 150
Thus, all of the numbers she said were 110, 120, 130, 140, and 150.
Hope this helps! :)
A waiter received a $5.25 tip. If the check totaled $25, what percentage was received?
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To find the percent just do 25 * 0.21 and get 5.25
by means in math is multiplication.
Than if you want To find the percent All you have do is take 25 and times the new answer you got 0.21=21 so 25 * 0.21 and you will get 5.25
I hope this help.
I need help on more Pythagorean Theorem word problems, please.
Answers
a² (33) + b²(44) = c²
33² = 1,089
44²= 1,936.
1,089 + 1,926= 3,024.
√3,024= 54.9
to solve 48, you would subtract.
9² - 5.4² =x²
9² = 81.
5.4²= 291,16.
81 - 29.16= 51.84.
√51.84=7.2
7.2 = x
hopefully this helps
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The double number line below shows the approximate number of kilograms in a certain number of pounds:
Based on the number line, about how many kilograms are there in 17 pounds? Explain.
Answers
Answer:
7.7
Step-by-step explanation:
Its 7.7 kilograms
Plz help me solve this problem
If h = 12 units and r = 5 units, then what is the volume of the cone shown above?
A. 100π cubic units
B. 240π cubic units
C. 300π cubic units
D. 75π cubic units
Answers
Joseph used the problem-solving strategy Work Backward to solve the inequality 2n+5<13. Shawnee solved the inequality using the algebraic method. Compare the two methods
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seeems hard
maybe it's trial and error?
anyway
algebreaic
2n+5<13
minus 5 both sides
2n<8
divide by 2
n<4
Answer:
1. Using Backwards Method, we get,
We have the inequality 2n+5<13.
So, we subtract both the sides by 5,
i.e. 2n+5-5<13-5
i.e. 2n < 8
Now, divide both sides by 2, we get,
[tex]\frac{2n}{2} <\frac{8}{2}[/tex]
i.e. n < 4.
So, using the Backwards method, we get the solution is n<4.
2. Now, we use the Algebraic method,
We have, 2n+5<13
Take 5 to the right side of the inequality,
i.e. 2n<13-5
i.e. 2n < 8
Now, take the 2 on the right side of the inequality.
i.e. [tex]n<\frac{8}{2}[/tex]
i.e. n < 4.
So, again using the Algebraic Method, we get that the solution is n<4.
Round 35,894 to the greatest place
Answers
35,894 nearest 36
Kelly Ann took 15 minutes to walk from her home to the library. Her average speed was 3 miles in 45 minutes. how far was it from Kelly Ann's house to the library? (PLEASE SHOW STEPS!!)
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You know that speed is v = d/t
so 3/45 = 1/15 or 1 mile per 15 mins
So since she took 15 mins i know the library is 1 mile
to find 36+29+14 Joshua rewrote the expression as 36+14+29 what property did Joshua use
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Joe is learning to play the trumpet. on Monday he practiced from 6:30 until 7:05.on Tuesday he practiced from 3:55 until 4:15. how many minutes did he practice in all over the two days.?
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We know that Joe practiced from 6:30 to 7:05
An hour is 60 minutes
Joe practiced for the 30 minutes left in that hour and 5 minutes into the next
30+5=35
So, he was playing for 35 minutes on the first day
Now, we can do the same thing for the second day:
He started at 3:55 and ended at 4:15
An hour is 60 minutes
Joe practiced for the 5 minutes left in the hour and the first 15 minutes of the next hour
5+15=20
Now we want to add the number of minutes he practiced for both days
35+20=55 minutes
Answer:
Step-by-step explanation:
Use the distributive property to rewrite each expression 3(-4x + 8) = 4(x-6y) = 6(5 - q) = 1/2 (c - 8) = -3 (5 - b)= (D + 2 ) (-7)=
Answers
The expressions rewritten using the distributive property are:
1. -12x + 24
2. 4x - 24y
3. 30 - 6q
4. [tex]\(\frac{c}{2} - 4\)[/tex]
5. -15 + 3b
6. -7D - 14
To rewrite each expression using the distributive property:
1. 3(-4x + 8):
[tex]\[3 \cdot (-4x) + 3 \cdot 8\][/tex]
-12x + 24
2. 4(x - 6y):
[tex]\[4 \cdot x - 4 \cdot 6y\][/tex]
4x - 24y
3. 6(5 - q):
[tex]\[6 \cdot 5 - 6 \cdot q\][/tex]
30 - 6q
4. [tex]\(\frac{1}{2}(c - 8)\)[/tex]:
[tex]\[\frac{1}{2} \cdot c - \frac{1}{2} \cdot 8\\ \[\frac{c}{2} - 4\][/tex]
5. -3(5 - b):
[tex]\[-3 \cdot 5 + 3 \cdot b\][/tex]
-15 + 3b
6. (D + 2)(-7):
[tex]\[D \cdot (-7) + 2 \cdot (-7)\][/tex]
-7D - 14
So, the expressions rewritten using the distributive property are:
1. -12x + 24
2. 4x - 24y
3. 30 - 6q
4. [tex]\(\frac{c}{2} - 4\)[/tex]
5. -15 + 3b
6. -7D - 14
if a fish swims 7/8 of the depth of 32 foot deep lake, how many feet down did the fish swim?
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You can measure length with the greatest precision using a tape measure marked in _____. A. meters B. kilometers C. millimeters D. centimeters
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A store spent $263.50 on 50 lb of bulk goods. What is the price per pound, in dollars, of the bulk goods?
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An alloy consists of nickel, zinc, and copper in the ratio 2:7:9. How much of each metal is needed to make 3.6 kg of this alloy?
Answers
Answer
Find out the how much of each metal is needed to make 3.6 kg of this alloy .
To proof
As given
An alloy consists of nickel, zinc, and copper in the ratio 2:7:9 .
This shows that an alloy contains 18 parts and assume one part of alloy be u .
Thus
An alloy consists of nickel = 2u
An alloy consists of zinc = 7u
An alloy consists of copper = 9u
As given
Total weight of alloy = 3.6 kg
Thus equation becomes
2u + 7u + 9u = 3.6
18u = 3.6
[tex]u = \frac{3.6}{18}[/tex]
u = 0.2 kg
An alloy consists of nickel = 2 × 0.2
= 0.4 kg
An alloy consists of zinc = 7 × 0.2
= 1.4 kg
An alloy consists of copper = 9 × 0.2
= 1.8 kg
Hence proved
To make 3.6 kg of alloy in the given ratio, 400 grams of nickel, 1400 grams of zinc and 1800 grams of copper are required.
Explanation:The question is asking how much of each metal, namely nickel, zinc, and copper, is needed to make 3.6 kg of an alloy with a ratio 2:7:9. To solve this, first, we have to understand that the ratio represents relative amounts of each metal, not their exact weights. The entire alloy is made up of 2 parts nickel, 7 parts zinc, and 9 parts copper - a total of 18 parts. We can find the weight equivalent to one part by dividing the total weight of the alloy - 3.6 kg or 3600 grams - by 18. This gives us 200 grams as the weight of one part. To find the weight of each metal needed, we multiply the weight of one part by the number of parts in the ratio: nickel is 2 * 200 = 400 grams, zinc is 7 * 200 = 1400 grams, and copper is 9 * 200 = 1800 grams.
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Will is saving for a harmonica. He alreddy has $15 saved and intends to save $4 each week. The equation for the ammount of money (y) he has saved is y=4x=15, where x is the number of weeks. What do the slope and y interceps represent?
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what is the estimation of 186.9
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Four friends at a party popped 3/4 of a bag of popcorn. They ate half of what was popped what fraction of the popcorn bag did they eat
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In the function y = 10.00x + 35, y represents the cost of cabin lodging per occupant and x represents the number of occupants. How much does the cost increase for every occupant?
Answers
if y is cost per occupant and x is occupants, then we can read the equation as such:
Cost is equal to 10 times number of occupants plus a 35$ fee
10 times the number of occupants is the part we are worried about
The cost increases by 10$ for every occupant
Answer:
$10.
Step-by-step explanation:
We have been given a function [tex]y=10.00x+35[/tex], where y represents the cost of cabin lodging per occupant and x represents the number of occupants.
Since slope of a line is also known as unit rate, so the cost increase for every occupant will be equal to the slope of line.
We can see from our given expression that 10.00x represents the slope of line, so the cost increase for every occupant is $10.
How do you multiply 62.19 times 32.5?
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Geneva wants to put fencing around her rectangular flower bed. The width of her flower bed is the length. The perimeter of the flower bed is 20 feet.
What are the dimensions of her flower bed?
A. length = 7 feet; width = 3 feet
B. length = 6 feet; width = 4 feet
C. length = 3 feet; width = 7 feet
D. length = 4 feet; width = 6 feet
Answers
What is the actual distance between Gendet and Montrose? (Pic included)
Answers
Answer:
The actual distance is 24 kilometers.Step-by-step explanation:
The picture that shows the needed information is attached.
According to the graph, the distance showed between Gendet and Montrose is 1.5cm with a scale of 1 centimeter = 16 kilometers.
This scale means that each centimeter on the paper represents 16 kilometers of the real distance. So, what we need to do is just multiply the 1.5 cm by 16 km, because that's the scale:
[tex]1.5(16)=24[/tex]
Therefore, the actual distance is 24 kilometers.