Answers
Answer:
Question 1: [tex]x=4[/tex]
Question 2: [tex]x= \pm7[/tex]
Question 5: The dimensions of one face of the container are 6 by 6 inches.
Step-by-step explanation:
Hi there!
Question 1
[tex]x^3=64[/tex]
Rewrite 64 as a power of 3:
[tex]x^3=4^3[/tex]
(We could find that 4³ = 64 through trial and error)
This above equation makes it true that x=4. If aⁿ = bⁿ, then a=b:
[tex]x=4[/tex]
Question 2
[tex]x^2=49[/tex]
Rewrite 49 as a power of 2:
[tex]x^2=7^2[/tex]
Again, we could have found this through trial and error, or by looking at our multiplication tables.
[tex]x=7[/tex]
However, remember that positive and negative numbers will all square to be a positive number. So, therefore, x can be -7 OR 7 (since both, when squared, equal 49):
[tex]x= \pm7[/tex]
Question 5
Let x be equal to the length of one edge of the cube.
Volume of a cube formula: [tex]V=x^3[/tex]
Plug in the given information, when V is the volume:
[tex]216=x^3[/tex]
Rewrite 216 as a power of 3:
[tex]6^3=x^3[/tex]
^ We could have found this through trial and error.
[tex]x=6[/tex]
Therefore, the dimensions of one face of the container are 6 by 6 inches.
I hope this helps!
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Step-by-step explanation:
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Answers
its 304.8 milimeter
The actual length of the bus that the scale model represents is 252 inches.
To find the actual length of the bus represented by the scale model, you can use the scale ratio.
Given:
Scale model length = 12 inches
Scale ratio = 1:21
Let "x" be the actual length of the bus.
Using the scale ratio:
Scale model length / Actual length = Scale ratio
12 inches / x inches = 1/21
Now, solve for "x":
x = 12 inches / (1/21)
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x = 252 inches
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This is due in 20 minutes, help, please.
Sergio spent $65 at the gas station. He paid $3 per gallon for gas and $7 on candy and soft drinks. How many gallons of gas did Sergio buy?
Write a algebraic equation for the word problem above.
Question 1 options:
3 + 7 + g = 65
65 + g = 7
7g + 3 = 65
3g + 7 = 65 (What I chose)
Question 2
Write an algebraic equation for the word problem below.
How old am I if 226 reduced by three times my age is 133?
Question 2 options:
3a - 226 = 133
226 - 3a = 133 (My answer)
133 - 3a = 226
3a - 226 = 133
Question 3
rite an algebraic expression for the word problem below.
The sum of three consecutive numbers is 72. What are the three numbers?
Question 3 options:
3n = 72
1 + 2 + 3 = 72
a + b + c = 72
n + (n + 1) + (n + 2) = 72 (My answer)
Question 4
Write an equation for the word problem below.
It costs $5 plus $2 per mile to ride in a taxi. Hannah took a taxi from her house to school this morning. She paid the taxi driver $25 when she got to the school. How many miles is it from Hannah's house to her school?
Question 4 options:
2m + 5 = 25
5m - 2 = 25
25 + 2m = 5
5m + 2m = 25 (My answer)
Question 5 (Unsure if I'm correct)
rder the steps for writing an algebraic equation from real life word problems.
Question 5 options:
2
Identify all the important information
3
Define the variable
4
Write an equation using the important information and the variable
1
Read through the entire problem
Answers
Answer:
1) You were right
2) Also correct
3) Again, correct
4) Wrong, the correct answer is 2m + 5 = 25
5) Correct
Step-by-step explanation:
1) Sergio spent a total of 65 dollars at the gas station. He spent 3 dollars per gallon and 7 on snacks.The equation will be:
3g + 7 = 65
2) 226 reduced by ( - ) 3 times your age ( 3a ) is ( = ) 133?
226 - 3a = 133
3) The sum of three consecutive numbers is 72.
n + ( n + 1 ) + ( n + 2 ) = 73
4) It cost 5 plus 2 per mile.The total spent was 25
2m + 5 = 25
5)
1. Read the entire problem.
2. Identify all the important info.
3. Define the variable
4. Write an equation using the important information and the variable
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Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
22x=110° (corr angles)
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Find the total cost of a $32 Uber ride with a 15% tip.
Answers
Answer:
$36.8
Step-by-step explanation:
i just calculated it!
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Answers
Answer:
x= -3
Step-by-step explanation:
The slope is -1 so starting at the y-intercept going backwards, follow the line till you find y=7 and look at the x
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Answers
Answer:
Coffee Beans to Go is cheaper, selling coffee at $4.75 per pound.
Step-by-step explanation:
The graph is cruddy and hard to see but! when you go to 2 pounds and then up the the cost, it's $9.50. 9.50/2= 4.75. kapeesh??
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7/12
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Work out how many milk chocolates there must be.
Answers
Answer:
25
Step-by-step explanation:
[tex] \frac{7}{5} = \frac{35}{x} [/tex]
cross multiply
[tex]7x = 175[/tex]
Divide
[tex]175 \div 7 = 25[/tex]
Show all steps
question is in the photo.
Answers
[tex]\\ \sf\longmapsto \sqrt{108x^2y^3}-\sqrt{12x^2y^3}+x\sqrt{75y^3}[/tex]
[tex]\\ \sf\longmapsto \sqrt{2\times 2\times 3\times 3\times 3\times x\times x\times y\times y\times y}-\sqrt{2\times 2\times 3\times x\times x\times y\times y\times y}+\sqrt{5\times 5\times 3\times y\times y\times y}[/tex]
[tex]\\ \sf\longmapsto 6\sqrt{3}xy\sqrt{y}-2\sqrt{3}xy\sqrt{y}+5\sqrt{3}xy\sqrt{y}[/tex]
[tex]\\ \sf\longmapsto \sqrt{3}xy\sqrt{y}(6-2+5)[/tex]
[tex]\\ \sf\longmapsto 9\sqrt{3}xy\sqrt{y}[/tex]
Answer:
[tex]{ \rm{ \sqrt{108 {x}^{2} {y}^{3} } - \sqrt{12 {x}^{2} {y}^{3} } + x \sqrt{75 {y}^{3} } }} \\ \\ = { \rm{\sqrt{(36 \times 3) {x}^{2} {y}^{3} } - \sqrt{(4 \times 3) {x}^{2} {y}^{3} } + x \sqrt{(3 \times 25)} {y}^{3} }} \\ \\ = { \rm{ \sqrt{ {x}^{2} {y}^{3} } ( \sqrt{36 \times 3} - \sqrt{4 \times 3} + \sqrt{3 \times 25} }}) \\ \\ { = \rm{x {y}^{ \frac{3}{2} } (6 \sqrt{3} - 2 \sqrt{3} + 5 \sqrt{3} ) }} \\ \\ = { \rm{x {y}^{ \frac{3}{2} } \{(6 - 2 + 5) \sqrt{3} \} }} \\ \\ = { \rm{x {y}^{ \frac{3}{2} } \times 9 \sqrt{3} }} \\ \\ = { \boxed{ \rm{9x \sqrt{3 {y}^{3} } }}}[/tex]
how to solve 125×-1=25×+3
Answers
Answer:
x=1/25
Step-by-step explanation: