What is the missing number in the synthetic division problem below?
23 -22 4
6 8 20
3 4 ? 24
A. 2.
B. 8
a
C. 10
D. -6
Answers
Given:
A synthetic division problem.
To find:
The missing number it in the given synthetic division problem.
Solution:
The given synthetic division problem is:
[tex]3|\overline{3\quad -2\quad 2\quad 4}\\[/tex]
[tex]\quad 6\quad 8\quad 20\\[/tex]
[tex]\overline{3\quad 4\quad ?\quad 24}[/tex]
In synthetic division, we need to add first and second row to get the bottom row.
[tex]3+0=3[/tex]
[tex]-2+6=4[/tex]
[tex]4+20=24[/tex]
Similarly,
[tex]2+8=10[/tex]
Therefore, the missing value in the given synthetic problem is 10. Hence, the correct option is C.
Related Questions
(checking answer!)
What is the fraction representation of 0.196 (6 repeating)?
Answers
Answer:
49/250 I think I'm not sure though
Answer:
[tex]\frac{59}{300}[/tex]
Step-by-step explanation:
Recall that [tex]\frac{x}{9}[/tex] returns the decimal [tex]0.\overline{x}[/tex]. In this case, we only want the 6 repeating. We can achieve this by finding the fraction excluding the 6 and then adding the repeating fraction with the 6.
0.19 as a fraction is simply [tex]\frac{19}{100}[/tex]
[tex]\frac{6}{9}[/tex] returns a repeating digit 6. However, we would like the 6 to be in the thousands place. Since it's already in the tenth place, we will divide the fraction by 100 to put it in the thousands place: [tex]\frac{6}{9}\cdot \frac{1}{100}=\frac{6}{900}[/tex]
Adding these two fractions, we get:
[tex]\frac{6}{900}+\frac{19}{100}=\frac{6}{900}+\frac{171}{900}=\frac{177}{900}=\boxed{\frac{59}{300}}[/tex]
Janet uses 2 cups of strawberries to make 4 cups of strawberry jam. How many cups of strawberries are required to make 10 cups of strawberry jam?
Answers
Because we know from the information given that the number of strawberry jam cups will be 2 times the number of strawberry cups
The plot below shows the amount of liquid remaining in 555 basketball players' water bottles after practice. All measurements are rounded to the nearest \dfrac14 4 1 start fraction, 1, divided by, 4, end fraction pint.
Answers
Answer:
3 times
Step-by-step explanation:
From the dot plot given ; distance between each tick mark is 1/4
Bottle with least water = 1/4
Bottle with most water = 3/4
Number of times bottle with most is more Than bottle with least :
All we need to do is divide the greatest by the least :
That is :
3/4 ÷ 1/4
3/4 * 4/1 = 12 / 4 = 3
3 times
Answer: 3 times
Step-by-step explanation:
Someone help me solve this
Answers
Answer:
x=-2
Step-by-step explanation:
1.1x +1.2x -5.4 = -10
Combine like terms
2.3x -5.4 = -10
Add 5.4 to each side
2.3x -5.4+5.4 = -10+5.4
2.3x = -4.6
Divide each side by 2.3
2.3x/2.3 = -4.6/2.3
x= -2
Petra invests $8000 for 4 years she earned $2000 as compound interest find rate of interest
Answers
Answer:
r = 5.74%
Step-by-step explanation:
Compound interest formula is expressed as;
A = P(1+r)^t
P is the principal = $8000
A = P+I =8000 + 2000 = $10000
time t = 4years
Substitute
10000 = 8000(1+r)^4
10000/8000 = (1+r)^4
10/8 = (1+r)^4
1.25 = (1+r)^4
1.05737126344 = 1+r
r = 1.05737126344 - 1
r = 0.05737126344
r = 5.74%
This gives the rate of interest
6. Mary worked 27 hours last week. If she gets paid $12/hour, what is her
gross pay?
Answers
Answer:
324
Step-by-step explanation:
you would multiply 27 × 12 and that would equal 324
Four students spoke to the Parents Club for a total of 2/3 hour. Each student spoke for the same amount of time. How long did each student speak?
Answers
Explanation:
2/3 ÷ 4
Add 1 below 4 as a denominator:
2/3 ÷ 4/1
Reciprocate 4/1 and change to multiplication:
2/3 x 1/4
Solve:
2/3 x 1/4 = 2/12
Simplify 2/12
2/12 —> 1/6
Have a nice day! A brainliest would be nice:D
-SpaceMarsh
I need help with this please it would make my day
Answers
Answer:
Its Y=30
Step-by-step explanation:
5y+y+2y-60=180
8y-60=180
8y=240
8y/8=240/8
y=30
If P= (2, 7) and Q= (2, -3), which could be the coordinates of R if triangle PQR is isosceles?
Answers
Answer: c
Step-by-step explanation:
Write the fraction as a percent. 6/25
Answers
Answer:
0.0417
Step-by-step explanation:
we gots more lol
just per the instructions
Answers
Answer:
Step-by-step explanation:
65+3x-1=4+8x(the sum of two interior opposite angle are equal to the exterior angle formed)
64+3x=4+8x
64-4=8x-3x
60=5x
60/5=x
12=x
substitute the value of x
4+8x
4+8*12
4+96
100
therefore angle ZAB=100 degree
What is the area of the triangle below? 10 cm 2 20 cm 2 10.5 cm 2 11 cm 2
Answers
Answer:
A = 10.5 cm²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 7 and h = 3 , then
A = 0.5 × 7 × 3 = 10.5 cm²
Answer:
A = 10.5 cm²
Step-by-step explanation:
hope this helps
simplify: (13^2x+1 -5×169^x) / 9×169^x
Answers
[ 13^(2x + 1) - 5 × 169^x ] ÷ [ 9 × 169^x ] =
Expanding 1 from 13^(2x + 1 )
[ 13 × 13^(2x) - 5 × 169^x ] ÷ [ 9 × 169^x ] =
13 goes to the power of 2
[ 13 × 169^x - 5 × 169^x ] ÷ [ 9 × 169^x ] =
Factorize 169^x from both parts
[ ( 169^x ) × ( 13 - 5 ) ] ÷ [ ( 169^x ) × 9 ] =
Simplify 169^x
[ 1 × ( 13 - 5 ) ] ÷ [ 1 × 9 ] =
[ 13 - 5 ] ÷ [ 9 ] =
[ 8 ] ÷ [ 9 ] =
8 / 9
Is the equation conditional, an identity, or a contradiction? y - 11 + 3y = 6y + 4
Answers
Answer:
The equation is a conditional.
y = 7.5
Step-by-step explanation:
y - 11 + 3y = 6y + 4
4y - 11 = 6y + 4
4y - 4y - 11 = 6y - 4y + 4
- 11 = 2y + 4
- 11 - 4 = 2y + 4 - 4
2y = - 15
2y ÷ 2 = - 15 ÷ 2
y = - 7.5
PLS HELPP FIRST TO BE CORRECT WILL GIVE BRANLIEST!!
Answers
Answer:
Step-by-step explanation:
BaF2 + Na2S = 2 NaF + BaS
Explain why there are infinitely many solutions to the equation
sin X = 1/2
Answers
Answer:
Well, everything can be turned into a half.
Step-by-step explanation:
3. Write a pair of linear equations which has the unique solution x= 1 , y= -1.
Answers
Step-by-step explanation:
The equations with solution x = 1 and y = (-1) will intersect each other at (1,-1) .
Equation 1 :-
Say slope is 1 .→ y - (-1) = 1 ( x -1)
→ y +1 = x -1
→ x - y -2 = 0
Equation 2 :
Slope = -1→ y - (-1) = -1( x -1)
→ y +1 = -x +1
→ x + y = 0
Required answer
Help !!!!!Ella is making a solid clay sculpture in the shape of a cone.
Answers
Answer:
26p of clay.
Hope this helped
Answer:
151
Step-by-step explanation:
First, you find the radius which is 8/2. Next, you square the radius which is 16. Now you multiply 16 by pi which is 50.26548246. Now you do 9 divided by 3 which is 3. Then you multiply 50.26548246 by 3 to get 150.7964474 or 151
Can someone help me please?
Answers
Answer:
last option is correct: bc^5(5abc^6 + 2)
Step-by-step explanation:
Use the diagram and solve for x if:angel AOB= 4x - 2; Angel BOC=5x + 10; Angel COD=?
Answers
Answer:
4x-2+5x+10=90 degree(being perpendicular)
9x+8=90
9x=90-8
x=82/9
x=9.11
Step-by-step explanation:
(50 POINTS) Subtract. (−8.3x+4)−(3.2x−5)
Enter your answer, in simplified form, in the box. (Combine and simplify the equation.)
Answers
Answer:
Hello!!!Step-by-step explanation:
The first step for solving this expression is to remove the first set of parenthesis.
-8.3x+4 - (3.2x-5)
Remember that when there is a "_" sign in front of the parenthesis, we must change the sign of the expression to the following
-8.3x + 4 - 3.2x + 5
Collect the like terms with an x variable.
-11.5x + 4 + 5
Lastly, add the number to get your final answer
-11.5x + 9
Hope that helps you dear...
Have a nice day..
Buhbye!
What kind of solution is this? Prove it.
3+8x=8x+3
3=3
0=0
Answers
Answer:
all real numbers
Step-by-step explanation:
3 + 8x = 8x + 3
Subtract 8x from both sides.
3 = 3
Since 3 = 3 is a true statement, the solution is
x = all real numbers
Every number is a solution of this equation.
what is the length of side AC to the nearest tenth? (giving brainliest and thanks to all!)
Answers
21^2 - 15^2 = x^2
X^2 = 216
X=14.7
The list shows the numbers of employees in the nine departments at a company.
14, 23, 6, 54, 30, 26, 17, 3,26
What is the range of the numbers of employees in these departments?
23
51
O
26
18
Answers
Answer:
Range: 51
Step-by-step explanation:
Subtract the biggest by the smallest number:
54 - 3 = 51
hope this helps and is right. p.s i really need brainliest :)
Please help me this is due tomorrow thank you
Answers
Answer:
The answer is option B.
Step-by-step explanation:
Answer: D
Step-by-step explanation:
The histogram shows driving to work so A even though it looks like it may fit there is no way to assume they don’t drive at all
Hope this helps
The price of a laptop decreased from RS50 000 to Rs45 000. Calculate the percentage decrease in the price.
Answers
Answer:
Step-by-step explanation:
loss amount=Rs 50000-Rs 45000
=Rs 5000
loss%=loss amount/original amount100%
=5000/50000*100
=500000/50000
=10%
Marlene surveyed her classmates asking them whether they prefer to vacation during spring break or summer and the type of vacation preferred. The results are shown in the table.
Marlene surveyed her classmates asking them whether they prefer to vacation during spring break or summer and the type of vacation preferred. The results are shown in the table.
A 4-column table with 5 rows titled Vacation Preferences. Column 1 has entries beach, big city, camping, skiing, total. Column 2 is labeled spring with entries 35, 7, 14, 4, 60. Column 3 is labeled summer with entries 10, 2, 8, 10, 30. Column 4 is labeled total with entries 45, 9, 22, 14, 90.
Complete each statments.
About ____% of the students surveyed prefer a spring camping vacation.
About ____% of the students surveyed prefer a big city vacation.
Answers
Answer:
The answers for ed is
Step-by-step explanation:
16 and 10
g(r)=25−3rg,
what does g(4) equal?
Answers
Answer:
g(4)= 25-12g
Step-by-step explanation:
g(r)= 25-3rg
g(4)= 25-3(4)g
g(4)= 25-12g
Answer:
13
Step-by-step explanation:
Khan
1. Find the probability of rolling a sum less than 4 or a
sum greater than 8 when a pair of dice is rolled.
Answers
=============================================================
Explanation:
Refer to the chart below. The values in red up top add to the values in blue along the left column to get the 6 by 6 grid of values inside. This represents all of the possible ways to add up values on a pair of dice. There are 6*6 = 36 outcomes.
Of those 36 outcomes, we have 13 outcomes where we roll less than a 4, or greater than 8
outcome = 1+1 = 2outcome = 1+2 = 3outcome = 2+1 = 3outcome = 3+6 = 9outcome = 4+5 = 9outcome = 5+4 = 9outcome = 6+3 = 9outcome = 4+6 = 10outcome = 5+5 = 10outcome = 6+4 = 10outcome = 5+6 = 11outcome = 6+5 = 11outcome = 6+6 = 12These 13 results are shown in green boxes in the diagram.
Since we have 13 ways to get what we want, out of 36 total, the final answer as a fraction is therefore 13/36
13/36 = 0.3611 = 36.11% approximately
Which diagram is NOT a good model of 1/5÷6?
Answers
Answer:
The circle one
Step-by-step explanation:
What you need to do is count the number of squares or slices it has and then count how Buchanan the chunk is divided into, should be 6
==============================================================
Explanation:
Ignore the dashed smaller lines for now. The solid black vertical lines form 4 smaller equal pieces, and not 5. Each tickmark represents 1/4 and not 1/5
So if you wanted to represent a model for [tex]\frac{1}{4}\div 6[/tex], then you would use the lower left corner. However, we want that 1/4 to be 1/5 instead. So this is why the answer is the lower left corner.
Everything else is a correct model. We started dividing everything into 5 equal parts. Then we focused on one of those slices, and subdivided that slice into 6 equal parts. Imagine doing that for each slice and we should have 5*6 = 30 smaller pieces total. Hence [tex]\frac{1}{5} \div 6 = \frac{1}{5} \times \frac{1}{6} = \frac{1}{30}[/tex]