THINK SMARTER Margot wants to use partial products to find 22 X 17.
Write the numbers in the boxes to show 22 X 17-
Answers
Answer:
( 20 × 10 ) + ( 20 × 7 ) + ( 2 × 10 ) + ( 2 × 7 )
Step-by-step explanation:
To create partial products when multiplying two numbers, first break the numbers up into a sum of two numbers. The order that these numbers are multiplied does not necessarily matter as long as they are multiplied with the correct numbers.
22 × 17 = (20 + 2)(10 + 7) = 20 (10 + 7) + 2 (10 + 7) =
( 20 × 10 ) + ( 20 × 7 ) + ( 2 × 10 ) + ( 2 × 7 )
= 374
You can check this method works by using your calculator, and multiplying 22 by 17 to get 374 again!
Then just add like you would if when you distribute.
Remember FOIL (First, Outer, Inner, Last)
when multiplying two binomials(2 terms) or distributing factors with two terms.
For example:
(a + b)(c + d) =
F F
O O
I I
L L
(a × c) + (a × d) + (b × c) + (b × d)
Related Questions
Rena's grandfather opened a savings account as a college fund for her. His initial deposit and the yearly simple interest rate are shown. A college graduate is shown walking up stairs. The bottom step represents three thousand five hundred dollars. The value of the top step is unknown. The distance up the stairs is labeled four years. The simple interest rate is three point two five percent. How much will Rena have in this account after 4 years? Enter the correct answer in the box.
Answers
Answer:
$3,955
Step-by-step explanation:
Given that:
Initial deposit = $3500
Simple rate of interest = $3.25%
Number of years = 4
Simple interest = (principal * rate * time)
Principal = Initial deposit = $3500
Interest = $3500 * 3.25% * 4
Simple Interest = $455
Amount that will be in account after 4 years :
$3500 + $455 =$3955
Find the diameter of the semicircle whose area is 1232 cm2
Answers
Area of semicircle =
[tex] \frac{ {\pi \: r}^{2}}{2} [/tex]
Area of the given semicircle = 1232 cm^2
[tex] \frac{ {\pi \: r}^{2}}{2} = 1232 \\ = > {\pi \: r}^{2} =( 1232 \times 2) \\ = > \frac{22}{7} {r}^{2} = 2464 \\ = > {r}^{2} = ( \frac{2464 \times 7}{22} ) \\ = > {r}^{2} = 784 \\ = > r = \sqrt{784} \\ = > r = 28cm[/tex]
[tex]d = r \times 2 \\ d = (28 \times 2 )cm\\ d = 56cm[/tex]
Hence, the diameter of the circle is 56cm
Which method would you use to solve the following equation?
Answers
Answer:
Inverse
Step-by-step explanation:
I would use the inverse. Hope this helps!
In rectangle FGHK, FC = CH = 8.5 cm. What is the area of rectangle FGHK?
8.5 cm
15cm^2
120cm^2
125.5cm^2
Answers
Answer:
we have the width is 8 cm and the diagonal line is 17 cm so to get the length you're going to use Pythagoras theorem so 8 centimetres will be represented by a 17cm will be represented by c then length will be represented by b so b squared is equals to c squared minus a squared say 17 squared - 8 squared 17 squared is 289 while 8 squared is 64 the result will be 225 so b squared is equals to 225 to get b we will get the square root so b is equals to 15 so our length is 15 the area is equals to length x width so 15 * 8 you get 120 square centimetres
120 square centimeters is the area of rectangle FGHK.
What is area of a rectangle?Area of a rectangle (A) is the product of its length (l) and width (w).
here, we have,
from the given figure,
we have the width is 8 cm and the diagonal line is 17 cm
so to get the length you're going to use Pythagoras theorem
so 8 centimeters will be represented by a
17cm will be represented by c
then length will be represented by b
so b squared is equals to c squared minus a squared
say 17 squared - 8 squared
17 squared is 289 while 8 squared is 64
the result will be 225
so b squared is equals to 225
to get b we will get the square root
so b is equals to 15
so our length is 15
the area is equals to length x width
so 15 * 8
you get 120 square centimeters.
hence, 120 square centimeters is the area of rectangle FGHK.
To learn more on Area click:
brainly.com/question/20693059
#SPJ2
Which error did Mathieu make?
He factored incorrectly.
He did not use the constant as the x-intercept.
He set the factored expressions equal to each other.
He incorrectly solved the equation x + 3 = x + 1.
Answers
Answer:
C
Step-by-step explanation:
Plz mark brainliest
The error is he set the factored expressions equal to each other(option3).
What is X-intercepts?In a graph, the point where the line or curve crosses the axis is called the intercept. If a point crosses the x-axis it is x-intercepts. If a point crosses y-axis it is y-intercepts.
For finding x-intercepts of the given function,
First we have to factorize the given equation and then find the x values .
In [tex]f(x)=x^{2} +4x+3[/tex]
When we factorize we get , (x+3) and (x+1)
i.e., x+3=0⇒x=-3, x+1=0⇒x=-1.
That is x- intercept is -1 and -3.
Instead of this step Mathieu equated x+3=x+1.
This makes an error.
Hence, the error is he set the factored expressions equal to each other.
Learn more about x-intercepts here:
https://brainly.com/question/12648810
#SPJ6
FIND THE DISTANCE BETWEEN EACH PAIR OF POINTS. ROUND TO THE NEAREST TENTH. (-4, 5) (4, 0)
Answers
Answer:
+9.4 to the nearest tenth
Step-by-step explanation:
(-4, 5) (4, 0)
Refering to the x-coordinates and the y-coordinates of these two points, we see that x changes from -4 to 4, a change of 8, which forms the horizontal leg of a right triangle. Simultaneously, y changes from 5 to 0, a change of 5, which forms the vertical leg. Now use the Pythagorean Theorem to determine the length of the hypotenuse of this triangle; this hypotenuse is the distance between the two points:
distance = +sqrt(8^2 + 5^2) = +sqrt(64 + 25) = + sqrt( 89) = +9.43 to the nearest hundredth and +9.4 to the nearest tenth.
A science test is worth 100 points and has 25 questions. There are multiple choice questions worth 3 points each and short essay questions worth 8 points each. How many short essay questions are on the test?
Answers
Answer:
There can be up to 12 short essay questions
Solve
13x - 15 = 12x + 16
Answers
Answer:
x = 31
Step-by-step explanation:
I will make the explanation easy for you to understand.
Step 1: Subtract 12x from both sides.
13x − 15 − 12x = 12x + 16 − 12x
x − 15 = 16
Step 2: Add 15 to both sides.
x − 15 + 15 = 16 + 15
x = 31
Hope it helps!!!
Solve each equation and show all your work.
6x - 5 = 2x + 7
3z - 2 = 5z + 19
5x - 15 + 2x = 4x + 12
35x + 2 = 7
Answers
Answer:
x = 3
z = (-21)/2
x = 9
x = 1/7
Step-by-step explanation:
Solve for x:
6 x - 5 = 2 x + 7
Subtract 2 x from both sides:
(6 x - 2 x) - 5 = (2 x - 2 x) + 7
6 x - 2 x = 4 x:
4 x - 5 = (2 x - 2 x) + 7
2 x - 2 x = 0:
4 x - 5 = 7
Add 5 to both sides:
4 x + (5 - 5) = 5 + 7
5 - 5 = 0:
4 x = 7 + 5
7 + 5 = 12:
4 x = 12
Divide both sides of 4 x = 12 by 4:
(4 x)/4 = 12/4
4/4 = 1:
x = 12/4
The gcd of 12 and 4 is 4, so 12/4 = (4×3)/(4×1) = 4/4×3 = 3:
Answer: x = 3
____________________________________
Solve for z:
3 z - 2 = 5 z + 19
Subtract 5 z from both sides:
(3 z - 5 z) - 2 = (5 z - 5 z) + 19
3 z - 5 z = -2 z:
-2 z - 2 = (5 z - 5 z) + 19
5 z - 5 z = 0:
-2 z - 2 = 19
Add 2 to both sides:
(2 - 2) - 2 z = 2 + 19
2 - 2 = 0:
-2 z = 19 + 2
19 + 2 = 21:
-2 z = 21
Divide both sides of -2 z = 21 by -2:
(-2 z)/(-2) = 21/(-2)
(-2)/(-2) = 1:
z = 21/(-2)
Multiply numerator and denominator of 21/(-2) by -1:
Answer: z = (-21)/2
________________________________________
Solve for x:
5 x + 2 x - 15 = 4 x + 12
Grouping like terms, 5 x + 2 x - 15 = (5 x + 2 x) - 15:
(5 x + 2 x) - 15 = 4 x + 12
5 x + 2 x = 7 x:
7 x - 15 = 4 x + 12
Subtract 4 x from both sides:
(7 x - 4 x) - 15 = (4 x - 4 x) + 12
7 x - 4 x = 3 x:
3 x - 15 = (4 x - 4 x) + 12
4 x - 4 x = 0:
3 x - 15 = 12
Add 15 to both sides:
3 x + (15 - 15) = 15 + 12
15 - 15 = 0:
3 x = 12 + 15
12 + 15 = 27:
3 x = 27
Divide both sides of 3 x = 27 by 3:
(3 x)/3 = 27/3
3/3 = 1:
x = 27/3
The gcd of 27 and 3 is 3, so 27/3 = (3×9)/(3×1) = 3/3×9 = 9:
Answer: x = 9
__________________________________________
Solve for x:
35 x + 2 = 7
Subtract 2 from both sides:
35 x + (2 - 2) = 7 - 2
2 - 2 = 0:
35 x = 7 - 2
7 - 2 = 5:
35 x = 5
Divide both sides of 35 x = 5 by 35:
(35 x)/35 = 5/35
35/35 = 1:
x = 5/35
The gcd of 5 and 35 is 5, so 5/35 = (5×1)/(5×7) = 5/5×1/7 = 1/7:
Answer: x = 1/7
What is the surface area of a cylinder when the radius is 10?
Answers
Surface area of a cylinder: 2πr^2+2πrh
h- height
r- radius - 10
π- pi- 3.14
So just substitute: 2π(10)^2+2π(10)h
1. GUACAMOLE Eli is making guacamole. He uses 2 tablespoons of cilantro for every 3 avocados. At this rate, how many tablespoons of cilantro will he need for 9 avocados?
2. MARBLES The ratio of blue marbles to white marbles in a bag is 4 to 5. At this rate, how many blue marbles are there if there are 15 white marbles?
3. FERTILIZER Ellie must mix 6 tablespoons of plant food for every 2 gallons of water. If she has 6 gallons of water, how much plant food should she use?
4. STRAWBERRIES At a local fruit stand, Luisa spends $3.96 for 2 pounds of strawberries. How much can she expect to pay for 4 pounds of strawberries?
5. POGO STICK On her pogo stick, Lula made 24 hops in 30 seconds. At this rate, how many hops will she make in 50 seconds?
6. TESTS On a test, Matilda answered 12 out of the first 15 problems correctly. If this rate continues, how many of the next 25 problems will she answer correctly?
7. SOCCER The Hawks soccer team won 12 out of 14 games. If this rate continues, how many games will they win if they play a total of 21 games?
8. VEGETABLES At a harvest, 16 ears of corn are being picked for every 18 peppers. If 9 peppers have been picked, how many ears of corn have been picked?
9. CONSTRUCTION At a road work site, 20 cones are placed along 50 feet of road. How many cones are placed along 35 feet of road?
Answers
Answer:
1.6
2.12
3.18
4.7.92
5.40
6.20
7.18
8.8
9.14
hope this helps
please mark as brainliest!!!
Step-by-step explanation:
Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.
Answers
Answer:
x= 14
y=5
Step-by-step explanation:
AOC and BOD are vertical angles so they are equal
AOC = BOD = 25
MOD = 90
MOD = MOB+ BOD
90 = 3x+23 + 25
Combine like terms
90 = 3x +48
Subtract 48 from each side
90-48 = 3x
42 = 3x
Divide by 3
42/3 = 3x/3
14 =x
We know that 5y+ 3x +23+90 = 180 since AB is a straight line
5y+ 3x +113 = 180
subtract 113 from each side
5y+3x =67
5y+ 3*14 =67
5y +42 = 67
5y = 67-42
5y = 25
Divide by 5
y = 25/5
y =5
Answer:
Step-by-step explanation:
x=14
Explain to Alana why she might not want to blast her boss on social media just yet.
Answers
what is the domain and range of f(x)=35x
Answers
Answer:
Domain and Range are all real number
Step-by-step explanation:
Answer is above
Which of the following relations is a function?
{(3,-3), (3, -6), (3,-4)}
{(10,-9), (7, -1). (10.-9)}
O{(-6, -6), (-1, -1), (-6, -8)}
{(1, -6), (-2,-2), (1, -1)}
Answers
Answer:
calculator soup .com
Step-by-step explanation:
if molly had 6.5 jars of honey how many does she have if she takes away 1.684
Answers
Answer:
bro how u have 6.5 jars and how someone take away 1.684 jars???? this dont make no sense
Step-by-step explanation:
4.816 is the answer but i wouldnt know how that would be possible
Solve this equation. Enter your answer in the box.
3.5z – 2.7z = –6
z= ?
Answers
Answer:
z= -7.5
Step-by-step explanation:
subtract 3.5 from 2.7 = .8
.8z = -6
divide .8 from each side
z= -7.5
Answer:
-7.5
Step-by-step explanation:
simplify 7/9/14
(7/9 over 14)
(this is 7th grade work)
Answers
Answer:
98/9=10.888889
Step-by-step explanation: hope that helps
7/1/9/14
=(7/1)(14/9)
=(7)(14)/(1)(9)
= 98/9
A square has an area of 4 m^2 What is the length of each side?
Answers
Answer:
length of each side is 2 metres
Step-by-step explanation:
square area = b^2
4 square m = b^2
square root of 4 = b
therfore b = 2
I need help with this algebra question can someone explain the steps on how you solve it ?
Answers
Answer:
27
Step-by-step explanation:
(5+√2)²
you distribute the ² in the ()
so 5²+√2²
5²=25
√2²=2 because the √ and ² cancel each other out and you get 2
so now you have
25+2
which equals
27
Given expression:
(5 + [tex]\sqrt{2}[/tex])²
Now let us solve this problem by simplifying it;
(5 + [tex]\sqrt{2}[/tex])²:
the power implies the expression in the bracket should be repeated twice:
= (5 + [tex]\sqrt{2}[/tex]) (5 + [tex]\sqrt{2}[/tex])
Then expand the bracket by distribution;
= (5 x 5) + 5([tex]\sqrt{2}[/tex]) + 5([tex]\sqrt{2}[/tex]) + 2
= 25 + 10[tex]\sqrt{2}[/tex] + 2
= 27 + 10[tex]\sqrt{2}[/tex]
Ivan rented a truck for one day. There was a base fee of $16.95, and there was an additional charge of 89 cents for each mile driven. Ivan had to pay $155.79
when he returned the truck. For how many miles did he drive the truck?
Answers
Answer:
156 miles
Step-by-step explanation:
155.79-16.95=138.84
138.84/0.89=156
Yeah, I'm stupid.
Someone explain cause I'm not understanding
Answers
We can tell that the whole L shaped angle is 90 degrees because it has the little box in the corner. Now, the 90 degree angle is split into two parts with that line coming from the box. Those two parts of the whole 90 degree angle add up to 90 degrees.
90 = 4v + 2 + 9v - 3
Now, let's solve for v. Combine like terms.
90 = 13v - 1
Add 1 to both sides.
91 = 13v
Divide both sides by 13
7 = v
Michael to 12 test in his math class. His lowest test score was 78. His highest test score was 98. On the 13th Test,? He earn a 64. Select whether the value of each statistic for his test scores increase, decrease, or cannot be determined when the last test score was added
Answers
Complete question :
Michael took 12 tests in his math class. his lowest score was 78. his highest score was 98. on the 13th test, he earned a 64. put a check in the correct box to indicate whether the value of each statistic below for his test scores increased, decreased, or cannot be determined when the last score was added.
1. Standard deviation 11) Median 111) Mean
Answer:
Standard deviation - increased
Median - cannot be determined
Mean - decrease
Step-by-step explanation:
The standard deviation will increase because the new (13th) test score does not fall within the range (lowest and highest) of the 12 previous test scores and will hence further increase the variability of the s ires measured
The Median cannot be determined as we need the data for the scores in other to determine the middle value of the test scores.
The mean value will decrease further because, when a score (64) lower that the previously recorded least score (78) is recorded and then the sum is recalculated and average taken. This low new score will cause the new to decrease further than previously recorded.
The value of the mean decreases, the median cannot be predicted, and the value of the standard deviation increases.
What are statistics?Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.
Michael to 12 tests in his math class.
His lowest test score was 78.
His highest test score was 98.
On the 13th Test, he earns a 64.
Then the mean will decrease because he earns a 64 on the 13th test. That is lower than his lowest score.
The standard deviation will increase because the gap between the mean and 64 will increase.
The Median cannot be determined as we need the data for the scores in other to determine the middle value of the test scores.
More about the statistics link is given below.
https://brainly.com/question/10951564
please help me!!! It’s due Thursday
Answers
In trapezoid EFGH, EF¯¯¯¯¯ and HG¯¯¯¯¯¯ are the bases. Point J is the midpoint of EH¯¯¯¯¯¯ and point K is the midpoint of FG¯¯¯¯¯ . EF=3x+2 , HG=7x−2 , and JK=15 .
What is the value of x?
Answers
Answer:
6
Step-by-step explanation:
The required value of x is 3 for the given trapezoid.
What is a trapezoid?A trapezoid is a quadrilateral having two parallel bases and one set of other sides called as legs.
Given that EF and HG are the bases and J and K are the midpoints of the legs, we can use the midsegment theorem which states that:
The segment connecting the midpoints of the legs of a trapezoid is parallel to the bases and is equal to half the length of the bases.
We can use this theorem to write the equation:
JK = (EF+HG)/2
Now we are given that:
EF=3x+2 , HG=7x−2 , and JK=15
So we can substitute these values in the equation:
15 = (3x+2+7x-2)/2
15 = (10x)/2
15 = 5x
x = 3
Thus, the required value of x is 3.
Learn more about the trapezoid here :
brainly.com/question/8643562
#SPJ2
the perimeter of the pentagon below is 63 units. Find the value of x
Answers
Answer:
7
Step-by-step explanation:
2x+10+11+(x+2)+(3x-2)=63
2(7)+10+11+(7+2)+(3(7)-2)=63
x=7
7 is the value of x
What are sides of a pentagon with different sides ?
If the sides of a pentagon are not equal in measure, it is termed as an irregular pentagon. In this case, the perimeter of the pentagon can be calculated by using the basic formula, Perimeter = sum of its sides.
Given,
side 1 = 2x
side 2 = 10
side 3 = x+2
side 4 = 11
side 5 = 3x-2
Sum of all the sides of the pentagon,
2x+10+(x+2)+11+(3x-2)=63
2x+10+x+2+11+3x-2=63
6x+21=63
6x=63-21
6x=42
x=42/6
x=7
Read more about pentagon here :
https://brainly.in/question/17054992
#SPJ2
what are you guys doing for Halloween lol I honestly am not feeling it this year
Answers
Answer:
im going to have fun with the fam and shifted one unit right and 5 units up
Step-by-step explanation:
Answer:
Me nether
Step-by-step explanat
Shifed 1 unit left and then 5 units up
Can someone help me please ?
Answers
Answer:
C I am pretty sure.
Step-by-step explanation:
For C, we can alter the equation to be 5 - 9 > 2x or -2 > x which satisfies the graph above. Similarly, we can alter the second equation to be 3x ≥ -3 or x ≥ -1 which again is true from the graph above.
what is 2 days to 12 hours in a ratio
Answers
Answer:
1:4 ? not really sure entirely what this question is asking. more context pls ?
Step-by-step explanation:
Answer:
2 to 12?
Step-by-step explanation:
‼️ WILL GIVE BRAINLIEST AND 50 POINTS ‼️
>ALGEBRA I
If you can answer this super quickly, I will give you what I promised. Please answer all, no explanations needed.
Just questions 1&2, question 1’s options for all of them are:
•commutative property of
•addition property of equality
•2x = 8
•distributive property
•division property of equality
•x = 4
•multiplication property of equality
•subtraction property of equality
Answers
Answer:
All Real Numbers
Step-by-step explanation:
[tex]\text{Some equations, such as } 2x=2x \text{ have \bf all real numbers }\text{ as the solution.}[/tex]
The equation has infinity solutions. So, in this question as[tex]x\in \mathbb{R} \implies Dom(f)=(-\infty, \infty)=\mathbb{R}[/tex]
Just considering the problem as a function.