Answers
Answer:
14036Step-by-step explanation:
You know that 9 = 10 - 1.
Then 9 of something is equal to 10 of it less one of it. Here, that "something" is four.
[tex]\begin{array}{cl}9\times4&=10\text{ fours}-\boxed{1}\text{ four}\\&=\boxed{40}-4\\&=\boxed{36}\end{array}[/tex]
_____
Comment on this math
This illustrates a shortcut for multiplying by 9 that can be convenient for mental arithmetic. The idea is to multiply by 10, which just involves adding 0 (or moving the decimal point), then subtract the original number.
Related Questions
A jar holdsFraction 3 over 4 gallon of juice when it is Fraction 7 over 8 full. Which statement best describes the quotient of 3 over 4division sign 7 over 8? The maximum amount of juice the jar can hold is Fraction 7 over 6 gallons. The maximum amount of juice the jar can hold is Fraction 6 over 7 gallon. The amount of juice that can be still poured in the jar is Fraction 7 over 6 gallons. The amount of juice that can be still poured in the jar is Fraction 6 over 7 gallon.
Answers
Answer: 3/4 / 7/8
Step-by-step explanation:
= 3/4 * 8/7 = 24/28 = 6/7 gallons
This is the volume of juice when the jar is full.
Answer:
6/7
Step-by-step explanation:
please help me........
Answers
Answer: see proof below
Step-by-step explanation:
Use the Sum/Difference Identity: tan (A + B) = (tanA + tanB)/(*1 - tanA · tanB)
Scratchwork:
tan (50) = tan (40 + 10)
[tex]= \dfrac{\tan 40+\tan 10}{1-\tan 40\cdot \tan 10}[/tex]
tan 50 (1 - tan 40 · tan 10) = tan 40 + tan 10
tan 50 - tan 50 · tan 40 · tan 10 = tan 40 + tan 10
tan 50 = tan 40 + tan 10 + tan 50 · tan 40 · tan 10
Use the Reciprocal Identity: cot A = 1/ tan --> cot A · tan A = 1
Proof LHS → RHS
LHS: tan 50 - tan 40
Substitute tan 50: tan 40 + tan 10 + (tan 50 · tan 40) · tan 10 - tan 40
Simplify: tan 10 + (tan 50 · tan 40) · tan 10
Reciprocal Identity: tan 10 + tan 10
Simplify: 2 tan 10
LHS = RHS: 2 tan 10 = 2 tan 10 [tex]\checkmark[/tex]
Yolanda's age is 5 years less than twice Marco's age. If Yolanda is 15 years old, how old is Marcus? Choose the answer below that is a viable solution to this problem.
Answers
The age of marcus is 10 years old.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that Yolanda's age is 5 years less than twice Marco's age. If Yolanda is 15 years old, then we have;
The reason for "5 years less", means we subtract 5, but from what exactly.
Now the next portion of the sentence says "twice Marco's Age" therefore, its 2x so we must subtract 5 from 2x.
15 = 2x - 5
Now we just solve for x.
15 = 2x - 5
Add 5 to both sides.
20 = 2x
Divide by 2 on both sides;
10 = x
Thus As a result, Marcus is 10 years old.
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Find the Slope of the line through ( -4, 2 ) and (5, 8 )
Answers
Answer:
2/3
Step-by-step explanation:
Y2-Y1/X2-X1
8-2/5-(-4)
6/5+4
6/9
Slope: 2/3
answer: 2/3
step by step:
slope(m)=[tex]y2-y1/x2-x1[/tex]
=8-2/5+4
= 6/9
=2/3
What is an equation of a line that passes through the point of (-8 2) and (-4,-3)
Answers
Answer:
y = -5/4x -8Step-by-step explanation:
[tex](-8,2)=(x_1 ,y_1)\\(-4 ,-3) = (x_2 ,y_2)\\\\\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}\\ \\\frac{y-2}{x-(-8)}= \frac{-3-2}{-4-(-8)}\\ \\\frac{y-2}{x+8}= \frac{-5}{-4+8} \\ \\\\\frac{y-2}{x+8} = \frac{-5}{4}\\ \\Cross\:Multiply \\4(y-2) = -5(x+8)\\\\4y-8 =- 5x-40\\\\4y = -5x-40+8\\\\4y =- 5x-32\\\\\frac{4y}{4} = \frac{-5x}{4} + \frac{-32}{4} \\\\y = -\frac{5}{4}x-8[/tex]
8 times 10 to the power of 5 is how many as great as 8 times 10 to the power of -1
Answers
Answer:
6 times as great
Step-by-step explanation:
8*10 to the power of 5
8*10 to the power of -1
Answer:
10^6
Step-by-step explanation:
● 8×10^5
● 8 × 10^(-1)
Divide the the first number by the second one
● 8×10^5/ 8×10^(-1) = 10^(5-(-1)) = 10^6
So 8×10^5 is greater 10^6 times than 8×10^(-1)
A certain number is both a perfect square root and a perfect cube will its cube root and square root always be different numbers
Answers
Answer:
The exception is 1
Step-by-step explanation:
The cube root of 1 is 1, and the square root of 1 is also 1..
hence, 1 has cube root equal to square root
Jack bought 4 bagels for $3.00. How many bagels can he buy for $4.50?
Answers
Answer:
6 baglesStep-by-step explanation:
$3.00 - 4 bagles
÷2 ÷2
$1.50 - 2 bagles
×3 ×3
$4.5 - 6 bagles
Carmen draws this area model to help her divide 1,800 by 9. She says the quotient is 20. Does Carmen's model make sense? Use the drop-down menus to explain.
Answers
Answer:
No shes wrong
Step-by-step explanation:
IF you divide 1800 divided by 9 you will get 200 not 20 so she is wrong.
Can someone please help me?
Answers
Answer:
The next number is 1 and the pattern is divide by 4.
Step-by-step explanation:
256÷4=64
64÷4=16
16÷4=4
4÷4=1
1. A grocery store just received a shipment of 200 dozen eggs. If 12 eggs = 1 dozen, how many eggs did
the store receive?
Answers
Answer:
they received 2400 eggs.
Step-by-step explanation:
12 * 200 = 2400
The number of eggs did the store receive is 2400 eggs.
To find number of eggs.
What is arithmetic?science that deals with the addition, subtraction, multiplication, and division of numbers and properties and manipulation of numbers. An example of arithmetic is adding two and two together to make four.
Given that:
A dozen (commonly abbreviated doz or dz) is a grouping of twelve.
1 dozen= 12 eggs
1/2 dozen=6 eggs
So upon calculate the 200 dozen of egg, to multiply with 1 dozen of eggs,
200 dozen= 200*12=2400 eggs
So, the number of eggs did the store receive is 2400 eggs.
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What 2 consecutive whole numbers does v3 fall between?
Answers
Answer:
1 and 2
Step-by-step explanation:
√3 is ≈ 1.7
This is between 1 and 2
How many $10$-digit numbers are there, such that the sum of the digits is divisible by $2$?
Answers
Complete question is;
How many 10 - digit numbers are there, such that the sum of the digits is divisible by 2?
Answer:
There are 4500000000 ten digit numbers whose sum is divisible by 2.
Step-by-step explanation:
Since we are dealing with 10 digit numbers, the first 10 digit number whose sum is divisible by 2 is; 1000000001.
While the last 10 digit number whose sum is divisible by 2 is 9999999999.
Now,to find how many 10 digit numbers whose sum are divisible by 2, we will simply divide the difference of both numbers by 2 and then add 1 to the answer. This is because subtracting the minimum from the maximum gives us the number of 10 digit numbers we have. Then dividing by 2 gives the number of ten digit numbers with sum divisible by 2 in between. Then adding 1 to the result to cover the number not included gives;
((9999999999 - 1000000001)/2) + 1 = 4500000000
find the product of (a+b) and(a power 2 -ab +b power 2)
Answers
[tex]\circ\tt\:(a+b)(a^2-ab+b^2)[/tex]
[tex]\circ\tt\:a(a^2-ab+b^2)+b(a^2-ab+b^2)[/tex]
[tex]\circ\tt\:(a^3-a^2b+ab^2)+(a^2b-ab^2+b^3)[/tex]
[tex]\circ\tt\:a^3+(a^2b-a^2b)+(ab^2-ab^2)+b^3[/tex]
[tex]\circ\tt\:a^3+0+0+b^3[/tex]
[tex]\bigstar\:\boxed{\bf{\pink{a^3+b^3} }}[/tex]
The width of a rectangle measures (3.1s-1.6)(3.1s−1.6) centimeters, and its length measures (7.2s-4.6)(7.2s−4.6) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle? A. −6.2+10.3s B. −12.4+20.6s C. 1.5s+2.6 D. 5.2+3s
Answers
Answer:
B) -12.4 + 20.6s
Step-by-step explanation:
width = (3.1s - 1.6) cm
Length = (7.2s - 4.6) cm
Perimeter of rectangle = 2* (length +width)
= 2 *(7.2s - 4.6 + 3.1s - 1.6) {add like terms}
= 2* (7.2s + 3.1s - 4.6 - 1.6)
= 2*( 10.3s - 6.2) {distributive property}
= 2*10.3s - 2*6.2
= 20.6s - 12.4
Determine which line the point (1, -2) lies on. y = x + 5 y = 2x + 1 y = 2x - 4 y = x -2
Answers
Answer:
y = 2x - 4
Step-by-step explanation:
Given point (1, -2) so x = 1, y = -2
Just plug in and verify
y = x + 5
y = 1 + 5 = 6 ≠ -2 , noy = 2x + 1
y = 2*1 + 1 = 3≠ -2 , noy = 2x - 4
y = 2*1 - 4 = -2, yesy = x -2
y = 1 - 2 = -1 ≠ -2 , nohelp me solve for the variable
-12r + 4 = 100
r=
Answers
Answer:
-8
Step-by-step explanation:
-12r+4=100
100-4=96
-12r=96
96/-12=-8
3/5x = 1/2x+1/2
please tell me this asap
Answers
Answer:
x = 5
Step-by-step explanation:
3/5x = 1/2x + 1/2
collect like terms =
3/5x - 1/2x = 1/2
6x - 5x/10 =
x/10 = 1/2
2x = 10
x = 5
Mark incorrectly solved the inequality -4(5/2+3/2x) > 8. His work is shown. Which step shows an error based on the inequality ONLY from the previous step? Help please!!
Answers
Answer : The incorrect step is, (A) step 1: -10 + 6x > 8
Step-by-step explanation :
The given expression is:
[tex]-4(\frac{5}{2}+\frac{3}{2}x)>8[/tex]
Now solving this expression step by step.
First -4 distributed over parentheses.
[tex](-4\times \frac{5}{2})+(-4\times \frac{3}{2}x)>8[/tex]
Now solving bracket term, we get:
[tex]-10-6x>8[/tex]
Now taking like terms together, we get:
[tex]-6x>8+10[/tex]
[tex]-6x>18[/tex]
[tex]-x>3[/tex]
Now multiplying this expression by (-1), we get:
[tex]x>-3[/tex]
Thus, the incorrect step is, (A) step 1: -10 + 6x > 8
Answer:
A. Step 1: -10 + 6x > 8
Step-by-step explanation:
The correct way:
Step 1: Multiply both sides by [tex]-1[/tex] (reverse the inequality)
[tex]\left(-4\left(\frac{5}{2}+\frac{3}{2}x\right)\right)\left(-1\right)<8\left(-1\right)[/tex]
Step 2: Simplify
[tex]4\left(\frac{5}{2}+\frac{3}{2}x\right)<-8[/tex]
Step 3: Divide both sides by 4
[tex]\frac{4\left(\frac{5}{2}+\frac{3}{2}x\right)}{4}<\frac{-8}{4}[/tex]
Step 4: Simplify
[tex]\frac{5}{2}+\frac{3}{2}x<-2[/tex]
Step 5: Subtract [tex]\frac{5}{2}[/tex] from both sides
[tex]\frac{5}{2}+\frac{3}{2}x-\frac{5}{2}<-2-\frac{5}{2}[/tex]
Step 6: Simplify
[tex]\frac{3}{2}x<-\frac{9}{2}[/tex]
Step 7: Multiply both sides by 2
[tex]2\cdot \frac{3}{2}x<2\left(-\frac{9}{2}\right)[/tex]
Step 8: Simplify
[tex]3x<-9[/tex]
Step 9: Divide both sides by 3
[tex]\frac{3x}{3}<\frac{-9}{3}[/tex]
Step 10: Simplify
[tex]x<-3[/tex]
PLS ANSWER ASAP!!! Which quadratic equation is equivalent to (x – 4)2 – (x – 4) – 6 = 0? A.(u – 4)2 – (u – 4) – 6 = 0 where u = (x – 4) B, u2 – (u – 4) – 6 = 0 where u = (x – 4) C. u2 – 16 – u – 6 = 0 where u = (x – 4) D. u2 – u – 6 = 0 where u = (x – 4)
Answers
Answer:
D.) u^2 - u-6 = 0 where u = (x-4)
Step-by-step explanation:
Answer: D
Step-by-step explanation:
edge 23
the 4th tetm of a G.P. is 54 and the 6th term is 24. Is 64/9 a term of the G.p.?
Answers
Answer:
d
Step-by-step explanation:
Here is a pic
Hope this helps
the midpoint of ab is M (-6,1 ). if the coordinates of A are (-7,-3 ),what are the coordinates of B
Answers
Answer:
B(-5,5).
Step-by-step explanation:
It is given that midpoint of AB is M (-6,1).
Coordinates of A are (-7,-3 ).
We need to find the coordinates of point B.
Let coordinates of point B are (a,b).
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Midpoint of AB is
[tex]Midpoint=\left(\dfrac{-7+a}{2},\dfrac{-3+b}{2}\right)[/tex]
[tex](-6,1)=\left(\dfrac{-7+a}{2},\dfrac{-3+b}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{-7+a}{2}=-6[/tex]
[tex]-7+a=-12[/tex]
[tex]a=-12+7[/tex]
[tex]a=-5[/tex]
[tex]\dfrac{-3+b}{2}=1[/tex]
[tex]-3+b=2[/tex]
[tex]b=2+3[/tex]
[tex]b=5[/tex]
Therefore, the coordinates of B are (-5,5).
Determine the product if the exspressian . It must be in simplified form. 4/5 times 1/2
Answers
Answer:
2/5
Step-by-step explanation:
cross simplify the 4 and 2
the equation becomes:
2/5 • 1/1 = 2/5
Answer:
2/5
Step-by-step explanation:
you just cross multyply so 4x1 is 4 and 5x2 is 10 and you get 4/10 and then you simplify it by 2 and that will get you 2/5
uhm, yeah im not very good at math, i need to graduate man, someone help lol
Answers
Answer:
d=√73=8.544
Step-by-step explanation:
Find distance (d) between market (0,8) , court house(6,5) and library(6,-1)
d between two pint is :
d=√(x2-x1)²-(y2-y1)²
d between market and court house:
d=√(6-0)²+(5-8)²
d=√36+9=√45 = 6.7082 ≅6.71 rounded to the nearest hundredths
d between courthouse and the library:
d=√(6-6)²+(-1-5)²
d=√36=6
the distance that Runner A ran=6.71+6=12.71
the distance from the library to the school:
d=√(6-(-2))²+(-1-(-4))²
d=√8²+3²
d=√64+9
d=√73=8.544 ( rounded to the nearest hundredth)
Runner B went 8.544 further than Runner A before stopping at school ( which is the distance between the library and the school.
Find the perimeter and area of the figure.
10 ft
3 ft
The perimeter of the figure is
feet.
47
The area of the figure is
square feet.
HELP ME PLEASE
Answers
Answer: the perimeter is 26 feet squared. the area is 30 feet
perimeter is all sides added together:
10+10+3+3= 26
area is base times length
10×3=30
dont forget units
I need the answers from question 10 to 17
You don’t have to answer all of them but I would like one or maybe a couple of answers
Answers
b)8m
c)9m
d)20m
Which statement comparing |−12| and |8| is true?
Answers
Answer:
[tex]\huge\boxed{|-12|\ is\ greater\ than\ |8|}[/tex]
Step-by-step explanation:
|-12| = 12
|8| = 8
So, the statement is :
|-12| is greater than |8|
Which statements about geometric sequences are true?
There is more than one correct answer. Select all that apply.
Geometric sequences have a common ratio between terms.
Geometric sequences are restricted to the domain of natural numbers.
Geometric sequences can have a first term of 0.
Geometric sequences have a common difference between terms.
Geometric sequences only increase, never decrease.
Answers
Answer:
Step-by-step explanation:
Geometric sequences have a common ratio between terms. TRUE
Geometric sequences are restricted to the domain of natural numbers. FALSE
Geometric sequences can have a first term of 0. FALSE. If this were true, then every member the sequence would also be 0.
The correct statements are,
Geometric sequences have a common ratio between terms.
Geometric sequences :A geometric series is one which has a constant ratio between successive terms.
A geometric series is the sum of the terms of a geometric sequence.Geometric sequences may be increase or decrease.Geometric sequences can not have a first term of 0, if the first term is zero, it will not result in a Geometric Progression.Learn more about the Geometric sequences here:
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Here is a collection of dogs, mice, and cats: There are 6 dogs, 2 mice, and 4 cats. Write two sentences that describe a ratio of types of animals in this collection.
Answers
Answer:
The ratio of dogs to mice is
6 to 2; 6:2; 6/2
The ratio of cats to dogs is
4 to 6; 4:6; 4/6
Hope this helped~
Your smart local crackhead
The ratio of the dogs, mice, and cats is 3 : 1 : 2.
What is a Ratio?A ratio indicates the number of times one number contains another.
Given that, there are 6 dogs, 2 mice, and 4 cats.
The ratio of the collection is:
dogs : mice : cats
6 : 2 : 4
= 3 : 1 : 2
Hence, the ratio of the dogs, mice, and cats is 3 : 1 : 2.
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Solve the equation for y. Then find the value of y for each value of x.
y + 6x = 11; x= -2,0,4
Solve the equation for y.
Answers
Answer: for x=-2
y+6(-2)=11
y+(-12)=11
y=11+12
y=23
for x=0
y+(6*0)=11
y=11
for x=4
y+6(4)=11
y+24=11
y=11-24
y= -13
Step)-by-step explanation:
you just remplace x with his value and solve y
y- 12 = 11
+12 +12
y = 23
y+6(0) = 11
y = 11
y+6(4) = 11
24 = 11
-24. -24
y = 13
y = -13