Answer:
9.5*10^12 km
Step-by-step explanation:
A lizard can lose its tail to escape a predator, and the tail will grow back at a constant rate. After 6 weeks, a lizard's tail has regrown to 3 3/4 inches long. Find the number of inches the tail grew each week.
Answer:
15/24 or 5/8 inches each week
Explanation and Checking part below :)
Step-by-step explanation:
3 3/4 ÷ 6
1. Turn the mixed number into an improper fraction.
15/4 ÷ 6/1
2. Use the KCF (keep,change,flip) method (multiply the reciprocal).
15/4 × 1/6 = 15/24
3. Simplify if needed to.
15/24 ----> simplified is 5/8
Check:
5/8 × 6 = 30/8
30/8 = 3 6/8 -----> Simplified to 3 3/4
Write an equation of the line in slope-intercept form.
Hello and Good Morning/Afternoon
Let's take this problem step-by-step:
What does this problem want us to find:
[tex]\hookrightarrow \text{The slope-intercept form}: y= mx + b[/tex]
m : slope b: y-interceptLet's find the slope:
(x₁, y₁) ⇒ 0,3)(x₂, y₂) ⇒ (4,2)[tex]m = \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{2-3}{4-0} =-\dfrac{1}{4}[/tex]
Let's find the y-intercept:
⇒ the value of the y-coordinate when the x-coordinate value is '0'
⇒ thus it is '3'
Our equation is:
[tex]y=-\dfrac{1}{4} x+3[/tex] <===== Answer
Hope that helps!
#LearnwithBrainly
Greetings from Brasil...
One way to solve this question is through a determinant.
| X Y 1 |
| X₁ Y₁ 1 | = 0
| X₂ Y₂ 1 |
as
(X₁; Y₁) = (0; 3)
(X₂; Y₂) = (4; 2)
then
| X Y 1 |
| 0 3 1 | = 0
| 4 2 1 |
4Y + X - 12 = 0Which expression has the same value as 36 ÷ 6 ⋅ 2
a. (36 ÷ 6) ⋅ 2
b. 36 ⋅ 6 ÷ 2
c. 36 ÷ (6 ⋅ 2)
d. 36 ÷ 2 ⋅ 6
Which expression has the same value as 12 − 6 ÷ 3
a. 12 − (6 ÷ 3)
b. 12 ÷ 6 − 3
c. (12 − 6) ÷ 3
d. 12 − 3 ÷ 6
Which expression has the same value as 20 − 4 ⋅ 3
a. 20 − (4 ⋅ 3)
b. (20 − 4) ⋅ 3
c. 20 + 4 − 3
d. 20 ⋅ 4 − 3
Answer:
a. 20 - (4 ⋅ 3)
Step-by-step explanation:
PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
Please note that multiplication 4 ⋅ 3 will happen before the subtraction -
If we add parentheses, we introduce a new "order". But if the parentheses are around the first operation we perform, the order stays the same!
This means that answer a. must be correct.
We verify:
20 − 4 ⋅ 3 = 20 - 12 = 8
a. 20 − (4 ⋅ 3) = 20 - 12 = 8
b. (20 − 4) ⋅ 3 = 16 ⋅ 3 = 48
c. 20 + 4 − 3 = 21
d. 20 ⋅ 4 − 3 = 80 - 3 = 77
Answer: A: 20 - (4 x 3)
Step-by-step explanation:
In the end, the final answer is 8, so we need to see which one of these options give us 8. As seen, we first must solve the multiplication, and the first option, A, solves the multiplication first because it is in parenthesis, which gives us 8, so the correct answer is A.
Divide. (−20/35)÷12/20 What is the quotient?
Answer:
-20/21
Step-by-step explanation:
-4/7 x 20/12
-4/7 x 5/3
= -20/21
Can someone please help me?
[tex]\frac{64x^{3}-{1} }{4x-1}[/tex]
[tex] \bf{= \frac{64 {x}^{3} - 1 }{4x - 1} }\\ \\ \bf{= \frac{( \cancel{4x - 1})(16 {x}^{2} + 4x + 1) }{ \cancel{4x - 1}}} \\\\ \bf{= 16 {x}^{2} + 4x + 1}[/tex]
Answer:
[tex]16x^2+4x+1[/tex]
Step-by-step explanation:
Given expression:
[tex]\dfrac{64x^3-1}{4x-1}[/tex]
Step 1Factor the numerator of the given expression.
Rewrite 64 as 4³ and 1 as 1³:
[tex]\implies (4^3)x^3-1^3[/tex]
[tex]\textsf{Apply the exponent rule} \quad a^b \cdot c^b=(ac)^b:[/tex]
[tex]\implies (4x)^3-1^3[/tex]
[tex]\textsf{Apply the Difference of Cubes Formula} \quad x^3-y^3=\left(x-y\right)\left(x^2+xy+y^2\right):[/tex]
[tex]\implies (4x)^3-1^3=(4x-1)\left((4x)^2+4x(1)+(1)^2\right)[/tex]
[tex]\implies (4x)^3-1^3=(4x-1)\left(16x^2+4x+1\right)[/tex]
Step 2Replace the numerator in the given expression with the factored numerator from step 1:
[tex]\implies \dfrac{64x^3-1}{4x-1}=\dfrac{(4x-1)\left(16x^2+4x+1\right)}{4x-1}[/tex]
Cancel the common factor (4x - 1):
[tex]\implies 16x^2+4x+1[/tex]
Evaluate using the order of operations
Answer:
Step-by-step explanation:
First, you have to solve it with parenthesis, where the answer is one, then multiply them by 6= 6. The answer is 4.
Lauren's graduation picnic will cost $34 if it has 17 attendees. At most how many attendees can there be if Lauren budgets a total of $38 for her graduation picnic? Solve using unit rates.
___attendees
3 = x/36
Solve x. Show working
Answer:
[tex] \sf \: x=108[/tex]
Step-by-step explanation:
3=x/36
Step 1: Multiply both sides by 36.
3=x/36(3)*(36)=(x/36)*(36)
108=x
Step 2: Flip the equation.
x=108
Consider the blueprint an artist creates of the outline of a mural, where 1 unit represents 1 foot. The artist edits the blueprint of the art mural by transforming triangle LMN on the coordinate plane.
If the artist dilates triangle LMN by a scale factor of 3 about the origin, creating triangle L′M′N′, what are the coordinates of N′?
Responses
(−9,−3)
(−3,−3)
(−1,−13)
(−13,−1)
Answer:
-9-3 i think
Step-by-step explanation:
Evaluate: 42 − 12 ÷ 6
—————————————————
(6 − 3) × 4 − 7
Answer:
42 - 12 ÷ 6 = 40
(6 - 3) x 4 - 7 = 5
Step-by-step explanation:
First of all, when coming over to an equation with a division or multiplication sign, we first solve the division or multiplication first, then the subtraction or addition. So, 12 ÷ 6 = 2. Then, 42 - 2 = 40. And in the other one we must first solve what's in the parenthesis. So, 6 - 3 = 3. Then, we multiply, 3 x 4 = 12. Then subtract. 12 - 7 = 5.
Hope this helps :)
Consider the rational number 3/11 (A What are the values of a and b in a)‾b when you use divisison to find the decimal form?
Answer:
The decimal form of this rational number is .
Step-by-step explanation:
a) Let a rational number. From statement we understand that represents the numerator, while corresponds with the denominator of the rational number. Hence, is 3 and is 11.
b) The decimal form is obtained by dividing by , we presented the step needed to determine the decimal form:
i) Multiply the numerator by 10:
Dividend: 30/Divisor: 11/Known result: 0. /Residue: N/A
ii) Multiply the divisor by 2 and subtract from the dividend:
Known result: 0.2 /Residue: 8
iii) Multiply the residue by 10:
Known result: 0.2 /Residue: 80
iv) Multiply the divisor by 7 and subtract from the residue:
Known result: 0.27 /Residue: 3
v) Multiply the residue by 10:
Known result: 0.27 /Residue: 30
vi) Multiply the divisor by 2 and subtract from the residue:
Known result: 0.272/Residue: 8
vii) Multiply the residue by 10:
Known result: 0.272 /Residue: 80
viii) Multiply the divisor by 7 and subtract from the residue:
Known result: 0.2727/Residue: 3
We have notice that the decimal form of is a periodical decimal number. Hence, we conclude that decimal form of this rational number is .
86.
A 6-sided number cube is rolled. Find the probability of each
event. Write each answer as a fraction, a decimal, and a percent.
P(5)
a. 1, 1.0 , 100% c. 0, 0.0, 0%
_ _
b. 1/6, 0.16, 16.6% d. 1/8, 0.125, 12.5%
The ratio of red flowers to yellow flowers is 4 to 5. If there are 48 red flowers, what is the number of yellow flowers? if you answer this i will give you 100 points and write out how you did it
Answer:
60
Step-by-step explanation:
I believe if you have 48 red flowers you divide 48 by 4 which gives you 12.12*5 is 60 correct me if I'm wrong.
Coach Karian bought 2 basketballs and 8 soccer balls for a total of $204. One basketball cost twice as much as one soccer ball. How much did one soccer ball cost?
Answer:
$17
Step-by-step explanation:
soccer balls=x
basketballs=2x
8(x)+2(2x)=204
12x=204
x=17
$17 per soccer ball
I NEED ANSWERS QUICKLY PLEASE HELP!!! (I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST WITH THE CORRECT ANSWER!!!)
f(n) = f(n-1)+5, f(1)=-3
Given this recursive equation, what is the common difference?
Answer:-15n?????
Step-by-step explanation:
Answer: The answer is -3N=-8
Help pls. I'll mark as brainlist.
1 feet = 12 inches
So, it's proportional2. The number of cookies baked and the minutes in the ovenSo, it's not proportional3. One bread needs a fixed grams of flourSo, it's proportional4. Since s = vtSo, it's proportional5. One gallon of gasoline cost's a fixed prince.So, it's proportionalNote : We just need to judge whether it accords with "y = kx"
{Proportional relationship}
What is the standard form of
Answer:
[tex]5.45 * 100000[/tex]
Other:
[tex]545000[/tex]
Which expression has the same value as 7 − 6 ⋅ 3 + 2
a. (7 − 6) ⋅ 3 + 2
b. 7 − 6 ⋅ (3 + 2)
c. 7 − (6 ⋅ 3) + 2
d. (7 − 6) ⋅ (3 + 2)
Answer:
7 − (6 ⋅ 3) + 2
Step-by-step explanation:
7 − 6 ⋅ 3 + 2
PEMDAS says we need to multiply before we add and subtract
7 − (6 ⋅ 3) + 2
14 3/4 + (-21 1/2 ) ( 14 and -21 are part of the fraction)
Answer:
21
Step-by-step explanation:
Theresa's Book Barn sold $10,347 worth of books during September. In October, their sales were $12,115. How much higher were Theresa's book sales during October than in September? Explain how you got your answer.
Answer:
$1,768
Step-by-step explanation:
We know that Theresa's Book Barn sold $10347 worth of books in September, and $12,115 in October. Since we want to know how much higher the sales were in October than in September, we would have to subtract.
So, we would have to subtract the two numbers.
12,115
- 10,347
1768
Subtracting the two numbers gives us $1,768, which is the difference.
I hope this was semi-helpful-
Solve for z.
−1.2z−8.2>−9.7
Show the solution
Hello!
Inequality: [tex]-1.2z-8.2 > -9.7[/tex]
To solve, we need to add 8.2 to both sides of the inequality:
[tex]-1.2z-8.2+8.2 > -9.7+8.2\\-1.2z > -1.5[/tex]
Now to get our solution, we will need to divide both sides by -1.2:
[tex]\frac{-1.2z}{-1.2} > \frac{-1.5}{-1.2}\\[/tex]
Final answer:
[tex]\fbox{z} < \fbox{1.25}[/tex]
Hope this helps!
Pls help and I will give brainliest, thanks! :)
Answer:
Step-by-step explanation:
S = 3, -3 T = 3, 7 U = 10, 7 V = 10, -3
please explain in detail.
THE BLUE ONE LOOKS LIKE ITS POINTING AT THE RED ONE
What is -9 ÷ 2/3?
I got: -27/3
Is it right?
Answer:
1.35
Step-by-step explanation:
Unfortunately you are wrong, the correct way to evaluate this problem…
We know 2/3 is 6.6 repeating
So if we do 9 divided by 6.6
We would get 1.35
Also I don’t know how your teacher want you to evaluate, but -27/3 can become a mixed number (9) which is obviously incorrect because 9 divided by a decimal lower that 1 is going to be a decimal lower than one.
Triangles are congruent if their corresponding sides are?
Answer:
Triangles are congruent if their corresponding sides are congruent using SSS postulate.
Answer:
Step-by-step explanation:
Triangles are congruent if their corresponding sides are equal. If this is the case, each side of one triangle is matched perfectly by the corresponding side of the other triangle.
round 5,294.6 to the hunders place
round 45,469.23 to the hunders place
round 7,526.442 to the hunders place
round 492.3069 to the hunders place
Answer: hundreds or hundredths?
Step-by-step explanation:
Assuming you're rounding to the hundreds place, you should round your first number to 5,300.
Second number rounds to 45,500.
Third number rounds to 7,500.
Fourth number rounds to 500.
Answer:
Step-by-step explanation:
5,00045,0008,000500(2 to the power of 3 x 2 to the power of -1) divided by 2 to the power of 2
Answer:
1
Step-by-step explanation:
(2^3 x 2^-1) / 2^2
First, solve what's in the parentheses remembering that when two exponents have the same base and are being multiplied together, their exponents add together:
3 + (-1) = 2
(2^2) / 2^2
And when two exponents with the same base are being divided by each other, the exponents subtract:
2 - 2 = 0
(2^0)
And any number to the power of 0 equals 1:
(2^0) = 1
Hope this helps!
The school asked students to help decide what to name the school gym. Each student was given a list of six names and asked to choose one. What type of graph would be the most appropriate to graph the results?
A. bar graph
B. line graph
C. histogram
D. circle graph
Answer:A
Step-by-step explanation:
This would be the easies to understand in my opion so that is what i would use try this one. Can i get a brainliss??????