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.
14 3/4 + (-21 1/2 ) ( 14 and -21 are part of the fraction)
Answer:
21
Step-by-step explanation:
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]
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
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
Please Solve These.
Please Explain don't just give me the answers :)
Answer:
Step-by-step explanation:
For cullen he did the first part wrong:
-6n +22 =-4n + 14
+4n +4n
---------------------------
-2n+22=14 correct solution
not equal to -10n +22=14
=======================================
for Seraphina she did the 3rd part wrong:
11.6y = 23.2
------ ------
11.6 11.6
y=2 correct solution
not equal to y=11.6
=========================================
for Jasper he also did the 3rd part wrong:
1/8b= 64
x8 x8
b=512 is the correct answer
not equal to b=8
Hope this helps :)
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
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 .
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.
Harry made a scale drawing of the elementary school. The schoolyard, which is 154 meters long in real life, is 22 millimeters long in the drawing. What scale did Harry use?
1 millimeter : __ meters
I'm sorry that there is no picture or drawing
Answer:
Based on the information given, the scale
that's used by Harry for drawing the schoolyard will be 1:7000.
Firstly, it should be noted that
meter = 1000 milliliters
Therefore, 154 meters = 154,000
millimeters
Since the schoolyard is 154 meters long in real life but is 22 millimeters long in the
drawing, then the scale will be:
= 22/154000
= 1/7000
(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!
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.
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:
5,00045,0008,000500Joan's father is 38 years old today. How many days old is he? (Note: don't add any days for leap year, just count each year as 365 days.) Explain how you got your answer.
Answer:13870
Step-by-step explanation: 38 years old
1 year has 365 days
365 days x 38 years = 13870 days old
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
what is the root of 9 over 64
Answer: Exact Form:
3
8
Decimal Form:
0.375
Step-by-step explanation:
Answer:
The answer is 3/8 = 0.375
Step-by-step explanation:
We have
[tex] \sqrt{ \frac{9}{64} } [/tex]
[tex] = \sqrt{ \frac{ {3}^{2} }{ {8}^{2} } } [/tex]
[tex] = \frac{3}{8} [/tex]
[tex] = 0.375[/tex]
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}
Which 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 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
Which of the following expressions are equivalent to minus, start fraction, 2, divided by, minus, 13, end fraction?
I will give Brainliest to whoever answers the best!
Answer:
Step-by-step explanation: The equivalent expression will be (-2)/ (-13) and-(-2/13) so option (A) and option (B) both will be correct. In such a fraction, the value that appears above the horizontal line is referred to as the numerator. It represents the number of pieces removed from the whole.
The denominator of a fraction is the numerical value that comes before the brings together various.
If we divide two numbers by each other than the upper word is called the numerator, and a lower word is called the denominator. For example, a fraction 1/5 here 1 will be the numerator and 5 will be denominated.
Given that now since the multiplication of - and - quantity is always positive so - and - is positive so it will be 2/13
If you take both options A and B in both options, the negative sign is going to be canceled and it will give a positive value.
Hence "The equivalent expression will be (-2)/ (-13) and-(-2/13)".
For the student council meeting after school, Mr. Aggie brought 3 loaves of homemade raisin bread. Each loaf was cut into ten equal pieces.
The sixth grade students ate one whole loaf and 4 slices of raisin bread. The seventh grade students ate 9 slices of raisin bread. The eighth grade students ate 6 slices of raisin bread.
Which expression below can be used to show the amount of raisin bread eaten by the student council members?
A. 4 + 9 + 6
B. 4/10 + 9/10 + 6/10
C. 1 4/10 + 9/10 + 6/10
D. 3/10 + 1 4/10 + 9/10 + 6/10
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
What is the standard form of
Answer:
[tex]5.45 * 100000[/tex]
Other:
[tex]545000[/tex]
WORTH 50 POINTSSSSSSSSSSSSSSSSSSSSSSSSSSS!!!!!!!!!!!!!!!!!!!!!!!! which shows the best use of associative and commutative properties to make simplifying 3/4-5+9-2/4+2 easier A. [3/4(-2/4)} + [9+2+(-5)]
B. [3/4+(-5)] + {9+(-2/4) +2] C. 2+ 3/4 + (-5)] + [(-2/4) +9] D. [3/4 +9+ (-5)] + {2+(-2/4)}
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-
Factor the trinomial, and solve the equation first.
[tex]x^{2}[/tex] - 2x - 2
Answer:
The trinomial is not factorable with rational numbers but can be answered using the quadratic formula : (-b±√(b^2-4ac))/2a. The answer would be 1 ± (plus or minus) [tex]\sqrt{3} \\[/tex] (radical 3).
Step-by-step explanation:
I recommend studying the quadratic formula and remembering it. It can ALWAYS be used to solve any quadratic, rationally factorable or not. When in doubt with completing the square or factoring, fall back on the quadratic equation.
Pls help ASAP thanks and I will give brainlest
Please explain how to do this to me! DO NOT GIVE ME THE ANSWER AGAIN DO NOT!! Thanks :)
Answer:
Answer is -1.25
Step-by-step explanation:'
You start by making sure everything in the problem is a decimal which means turning 1 1/4 into 1.25 and then adding the two numbers together -2.5+.25=-2.25
-2.25+1=-1.25
Brainliest would be nice.
Answer: -3.125 or -25/8
Step-by-step explanation:
I do not know what has been covered in your class, but the "x" appears to be multiplication here.
It would be best to convert into all decimals or all fractions.
For all fractions (I think is easiest):
-2.5 is -2 1/2 = -5/2 and then 1 1/4 = 5/4 (need improper fractions to multiply, then multiply straight across)
Then take -5/2 * 5/4 = -25/8 (multiply fractions by multiplying numerators together, then denominators together). If you need this as a mixed number, -25/8 is -3 1/8
For all decimals:
-2.5 is already as a decimal, then 1 1/4 = 1.25
So then multiply:
1.25 (I put 1.25 first because it has more digits)
x -2.5 (note- multiplying a positive by a negative gives you a negative)
6 2 5 (multiply 5x5 first, giving 25, so place 5 and carry the 2,
then multply 5x2 = 10 plus the 2 carried is 12, carry that 1
then 5x1 = 5 plus the 1 carried is 6)
+ 2 5 0 0 (0 placeholder first, now multiply the 2 by each digit of 1.25,
2x5 = 10, carry the 1, then multiply 2x2 = 4 plus the 1 carried
is 5, then multiply the -2 by the 1 , -2x1 = -2)
Now add the 625 + 2500 = 3125, there were 3 digits after the decimal originally, so move decimal back 3 places, giving 3.125. Finally, the answer is negative because you multiplied a negative number with a positive one. SO the final answer is -3.125 (also equal to the -25/8)