Answer:
42,44,46
Step-by-step explanation:
we first divide the 132 by the 3 which gives 44
since the numbers involved are even numbers and we know even numbers are numbers divisible by 2 we subtract 2 from the 44 and also add 2 to the 44 the get the rest of the two numbers which is from the above explanation
(44-2),44,(44+2)
42,44,46
we can check whether the above numbers are correct by adding to see whether we get 132
42+44+46=132 which are consecutive even numbers
Answer: 42, 44, and 46
Explanation: Make sure you read through the problem carefully so that you recognize that we are dealing with consecutive even numbers here.
So we can represent our numbers as follows.
X ⇒ first even integer
X + 2 ⇒ second even integer
X + 4 ⇒ third even integer
Since their sum is 132, our equation reads x + (x + 2) + (x + 4) = 132.
Solving from here, we find that x = 42.
So x + 2 is 44 and x + 4 is 46.
Find the perimeter of the shape with vertices (2, 3), (5, 3) and (5, 7).
Find the product of the first 3 positive integers and then the first 5 negative integers.
Answer:
PRODUCT OF FIRST THREE POSITIVE INTEGERS=6
PRODUCT OF FIRST FIVE NEGATIVE INTEGERS=(-120)
Step-by-step explanation:
PRODUCT OF FIRST THREE POSITIVE INTEGERS:
1×2×3 = 6
PRODUCT OF FIRST FIVE NEGATIVE INTEGERS:
(-1)×(-2)×(-3)×(-4)×(-5) = (-120)
Answer:
6 and -120
Step-by-step explanation:
The first 3 positive integers
= 1×2×3=6
The first 5 negative integers
= (-1 ) × (-2 ) × (-3 ) × (-4 ) × (-5 ) = -120
Five different cookies and four different drinks are served at the Junior Honor Society reception. In how many ways can Sara select three different cookies and two different drinks?
A. 60
B.10
C.6
D.20
E.30
F.120
[tex]_5C_3\cdot _4C_2=\dfrac{5!}{3!2!}\cdot\dfrac{4!}{2!2!}=\dfrac{4\cdot5}{2}\cdot\dfrac{3\cdot4}{2}=2\cdot5\cdot3\cdot2=60[/tex]
Answer:
[tex]\large \boxed{\mathrm{A. \ 60}}[/tex]
Step-by-step explanation:
[tex]\displaystyle nC_r=\frac{n!}{r!(n-r)!}[/tex]
[tex]5C_3 \times 4C_2[/tex]
[tex]\displaystyle \frac{5!}{3!(5-3)!} \times \frac{4!}{2!(4-2)!}=10 \times 6 = 60[/tex]
(10 points) Can someone graph this :) Thanks :P
Answer:
Hey there!
Your answer is:
Hope this helps :)
Write the equation of the sinusoidal function shown.
Answer: A
It looks at though the graph moved down a unit, so definitely a (-1) at the end of the function. If you move the graph up a unit, you will notice that the y = cos x format, therefore, it's not C or D.The amplitude of the function is 1. So B and D are out because their amplitudes are 2.Therefore, the answer is A.
solve: a X (b + c); a = -3/2 , b = -2 , c = 11/3 .
Answer:
-2 1/2
Step-by-step explanation:
a * (b + c);
Let a = -3/2 , b = -2 , c = 11/3 .
-3/2 ( -2 + 11/3)
Get a common denominator
-3/2( -2 *3/3 + 11/3)
-3/2 ( -6/3 +11/3)
-3/2 ( 5/3)
-15/6
-5/2
Changing to a mixed number
-2 1/2
Angela has a rectangular piece of paper and cuts a rectangle out of a corner what are the area and perimeter of the resulting shape help me find the perimeter only
The perimeter of a shape is the summation of the visible lengths of the shape. The area; however, is the product of the length and the width of the shape
The perimeter of the figure is 74cm and the area of the figure is 231 square cm
I've added shape as an attachment.
The perimeter is the sum of all side lengths. So, we have:
[tex]Perimeter = 6cm + 7cm + 15cm + 9cm + 21cm + 16cm[/tex]
[tex]Perimeter = 74cm[/tex]
To calculate the area, we split the shape into 2.
The first has the following dimension:
[tex]Length = 6cm[/tex]
[tex]Width = 7cm[/tex]
While the second has the following dimension
[tex]Length = 21cm[/tex]
[tex]Width = 9cm[/tex]
The area of the shape is:
[tex]Area = 6cm \times 7cm + 21cm\times 9cm[/tex]
[tex]Area = 231cm^2[/tex]
Hence, the shape has a perimeter of 74cm and an area of 231 square cm
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How to do this question plz answer me step by step plzz plz
Answer:
£13496.80
Step-by-step explanation:
We can ignore the £ sign for now, that is just units.
If we decrease a number by 4.5%, we will have to find [tex]100-4.5=95.5[/tex]% of 14132.77.
We can easily do this by setting up a proportion.
[tex]\frac{x}{14132.77} = \frac{95.5}{100}[/tex]
Multiply 14132.77 by 95.5:
[tex]14132.77\cdot95.5=1349679.535[/tex]
Divide by 100:
[tex]1349679.535\div100=13496.79535[/tex]
Rounding this to two decimal places, it simplifies to 13496.80.
Hope this helped!
The slope of the line below is -0.25. Write the equation of the line in point-
slope form, using the coordinates of the labeled point. Do not use parenthesis
on the y side.
which pair of functions represents a decomposition of f(g(x)) = | 2(x + 1) ^2 + (x + 1) | ?
Answer:
|2x^2+5x+3|
Step-by-step explanation:
Answer: D
f(x) = | 2x2 + x | and g(x) = (x + 1)
Step-by-step explanation:
41 =12d-7 d= Math is not my strong suit. I love to read and write but I can not do math without a little bit of help.
Answer:
[tex]\huge\boxed{d = 4 }[/tex]
Step-by-step explanation:
41 = 12d - 7
Adding 7 to both sides
41+7 = 12d
48 = 12 d
Dividing both sides by 12
4 = d
OR
d = 4
Answer:
[tex]\large \boxed{{d=4}}[/tex]
Step-by-step explanation:
[tex]41 =12d-7[/tex]
Add 7 on both sides.
[tex]41 +7=12d-7+7[/tex]
[tex]48=12d[/tex]
Divide both sides by 12.
[tex]\displaystyle \frac{48}{12} =\frac{12d}{12}[/tex]
[tex]4=d[/tex]
Write a division sentence that describe how many dispensers can be filled if the cafeteria uses 1/6 of coffee to fill a large coffee dispenser if the cafeteria has 2/3 pounds of coffee to use
Answer:
2/3 ÷ 1/6
I hope this helps.
Carrie rolls two 1-6 number cubes. How many outcomes are possible?
Answer:
36
Step-by-step explanation:
The first dies has 6 possible outcomes
1,2,3,4,5,6
The second die has 6 possible outcomes
1,2,3,4,5,6
6*6 = 36
There are 36 outcomes
First Sample space
[tex]\\ \sf\longmapsto S=\left\{1,2,3,4,5,6\right\}[/tex]
[tex]\\ \sf\longmapsto |S|=6[/tex]
Now There are two cubes mean n=2
[tex]\\ \sf\longmapsto |S|^n[/tex]
[tex]\\ \sf\longmapsto 6^2[/tex]
[tex]\\ \sf\longmapsto 36[/tex]
Simplify the expression a-2b, when a=1.4 - 2x and b=-0.2x + 1.7 *
Answer:
a-2b= -1.6x-2.0
Step-by-step explanation:
[tex]a=1.4-2x\\b=-0.2x+1.7\\a-2b= (1.4-2x)-2(-0.2x+1.7)\\a-2b= 1.4-2x+0.4x-3.4\\a-2b=-1.6x-2.0\\[/tex]
{By, substituting the values of a and b in a-2b , we can find the value of a-2b}
Write 0.15 as a fraction in simplest form. 0.15 =
Step-by-step explanation:
0.15 as a Fraction in simplest form to convert 0.15 to a fraction and simplify to the lowest form.
Working:
0.15 = 15/100
So the simplest form is :
0.15 = 3/20
[100 Points]
SHOW YOUR WORK, PLEASE!
Answer:
691 251/256
Step-by-step explanation:
So basically exponents is how much time you time the same number
First on the top is 2 exponent 4. that is 2x2x2x2=16
Second is 3 exponent 3. 3x3x3=27
Third is 9 exponent 7. 9x9x9x9x9x9x9=4782969
Fourth is 4 exponent 6. 4x4x4x4x4x4=4096.
All together is 16/27x4782969/4096=691 251/256
PLEASE HELP ME Answer the following two questions in your own words: 1. Why can I divide instead of distribute? Why is that allowed? Ex. why can I divide by 6 in 6(3x + 4) = 12 instead of distribute the 6? 2. When creating common denominators, why do I have to multiply the numerator AND the denominator? Ex. why do I have to multiply 1 by 5 AND 2 by 5 when adding 1/2 + 3/10?
Answer:
1. You can divide both sides of an equation by any number except zero. If dividing both sides simplifies the equation, then it's better to do than than to distribute.
2. A fraction can be thought of as a ratio. To keep the value of the fraction the same, you must multiply or divide the numerator and denominator by the same number. If you multiply only the denominator by a number, the value of the fraction changes.
Step-by-step explanation:
1.
6(3x + 4) = 12
Since the goal in solving this equation is to isolate x, meaning you want x alone on the left side, you need to do whatever legal operations that will accomplish that. Since 6 is a factor and (3x + 4) is a factor in a multiplication, you can divide both sides by 6 simplifying the left side. It is also correct to distribute on the left side, but it will make the solution longer.
Method 1: start by dividing both sides by 6
6(3x + 4) = 12
Step 1: Divide both sides by 6
3x + 4 = 2
Step 2: Subtract 4 from both sides
3x = -2
Step 3: Divide both sides by 3
x = -2/3
Method 2: start by distributing on the left side
6(3x + 4) = 12
Step 1: distribute the 6 on the left side
18x + 24 = 12
Step 2: subtract 24 from both sides
18x = -12
Step 3: divide both sides by 18
x = -12/18
Step 4: reduce the fraction
x = -2/3
As you can see, the solution is the same. The only difference is one extra step with the reduction of the fraction in the case of distributing the 6.
2.
This has to do with the meaning of fractions.
For example, take the fraction 1/2.
This fraction means that you divided the unit into 2 equal parts, shown by the denominator of 2. Then you are taking 1 of those parts, shown by the numerator of 1. 1/2 means 1 out of 2. You can also think of 1/2 as the ratio of 1 to 2.
To add and subtract two factions, we need a common denominator. That means we must rewrite one or both fractions being added or subtracted in a way that they both have the same denominator. We need the fractions to represent the same amounts they did originally. If you changed only the denominator, you'd be changing the actual value of the fraction.
You need to add 1/2 and 3/10.
The least common denominator of 2 and 10 is 10, so we need to have both fractions with a denominator of 10. 3/10 already has a denominator of 10, so we just need to change 1/2 to a fraction with 10 in the denominator. By multiplying 2 by 5 we get 10, so we need to multiply the denominator of 1/2 by 5 to end up with a denominator of 10.
1/2 + 3/10
If you only changed the denominator of 1/2 to 10 by multiplying 2 * 5 = 10, you'd end up with
1/10 + 3/10,
but now think of the fraction 1/10 and compare it to 1/2.
1/2 means divide the unit into 2 equal parts and take 1 part.
1/10 means divide the unit into 10 equal arts and take 1 part.
1/2 is not the same as 1/10, so rewriting the addition
1/2 + 3/10 as 1/10 + 3/10 is actually changing the problem.
Now see what happens when we multiply both the numerator and denominator by the same number, in this case 5.
We change 1/2 to (1 * 5)/(2 * 5) = 5/10. 1/2 equals 5/10. If you divide a unit into 10 equal parts and you take 5 parts, you have taken the same number of parts as if you had divided the unit into 2 parts and taken 1 part.
In other words, 1/2 is exactly the same amount as 5/10. The only difference between 1/2 and 5/10 is the way they are written.
Now we can correctly continue with the addition:
1/2 + 3/10 = 5/10 + 3/10 = 8/10
Finally we reduce 8/10 to 4/5 by dividing both the numerator and denominator by 4.
The sum of two consecutive odd integers is at least 36, find the integers
Answer:
The two integers are greater than or equal to 17 and 19
Step-by-step explanation:
Consecutive odd integers means 1, 3, 5, 7, 9 and so on
That means there is a always a gap of 2 in between each of them. Knowing this, we can set up an equation. Let x represent the first of the consecutive integers.
x+(x+2)=36
x+2 represents the second consecutive interger
x+x=34
2x=34
x=17
The two integers are 17 and 19
A board is 10.17 feet long. Sandy needs
to cut the board into 3 equal sections.
How long will each section be?
Answer:
3.39
Step-by-step explanation:
divide 10.17 by 3 to get the size of each section
Answer ASAP Please!
cos(13°) correct to four decimal places is:
A:0.2311
B:0.2312
C:0.9734
D:0.9735
E:0.9744
Answer:
E:0.9744
Step-by-step explanation:
Answer: E) 0.9744
Explanation:
This is something you'll need a calculator for. As far as I know, there isn't a clean formula that will allow you to compute this by hand, and get something like sqrt(3)/2. There is a way to find the decimal value by hand, but it will require knowledge of Taylor polynomials and it will take a very long while to compute the value. So again, it's better to use a calculator. When using a calculator, make sure it's in degree mode. You can check by computing cos(60) and you should get 0.5
420 miles in 6.5 hours unit rate
Step-by-step explanation:
Given,
distance =420 miles
time 6.5 hrs
now,
420miles took 6.5 hrs.
1mile took 6.5/420hrs
=0.015476hrs
Therefore, 0.015476hrs to cover 1 mile distance.
Hope it helps...
Answer:
64.6153846 miles/hour
0.0154761905 hours/mile
Step-by-step explanation:
If we want to find the miles driven in one hour, we must divide the total miles by the total hours.
miles / hours
We know that 420 miles were driven in 6.5 hours
420 miles/ 6.5 hours
Divide 420 by 6.5
420/6.5=64.6153846
64.6153846 miles/hour
In one hour, 64.6153846 miles are driven.
If we want to find the time to drive one mile, divide the time (hours) by the miles.
hours / miles
We know that 420 miles were driven in 6.5 hours.
6.5 hours/420 miles
Divide 6.5 by 420
6.5/420=0.0154761905
0.0154761905 hours/ mile
It will take 0.0154761905 of an hour to drive one mile.
PLS HELP I WILL GIVE BRAINLIST AND A THANK YOU!!!!!!!! Pls help me :)
Answer:
67°
Step-by-step explanation:
CGE + AGC + AGG = 180 (angles on a straight line)
23°+90°+x=180°
x=67°
frank bought 3 action figures 2 board games and 3 toy cars at the toy store . The action figure coast 1.95$ each, the board games coast 5.10$ a piece and the toy cars were 1.00$ if he paid with a twenty dollar bill, how much change should he get back?
Answer:
-5
Step-by-step explanation:
If x3 + ax2 – bx + 10 is divisible by x2 – 3x + 2,
find the values of
1) a-b
2) 2a-b
witch number line represents the solution for the inequality 3x<-9
Answer:
x < -3
Step-by-step explanation:
3x<-9
Divide each side by 3
3x/3 <-9/3
x < -3
Open circle at -3 line going to the left
Answer:
Step-by-step explanation:
3x < -9
Divide both sides by 3
x < - 3
x = {........-5, - 4 ,}
The size of a television screen is given as 95 cm, correct to the nearest 5 cm.
Write down the upper bound of the size of the television screen.
Answer:
U B = 100.5
Step-by-step explanation:
the upper bound of the size of the television screen= 95.5 since it is corrected to the nearest 5 then the U B =100.5 cm
The upper bound of the size of the television screen is 100.5 cm
The conversion of the size of the television screen to the nearest 5cm from the initial size of 95 cm is = 100 cm.
Now, the upper bound of the size of the television screen which is 100 is can be determined by the addition of a half value to 100 cm:
i.e.
= (1/2) + 100 cm
= 0.5 + 100 cm
= 100.5 cm
Therefore, we can conclude that the upper bound of the size of the television screen is 100.5 cm
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7.45 x 10^3 in standard notation
Answer:
7450
Step-by-step explanation:
Move the decimal to the right 3 times.
The standard notation is 7450
What is standard notation?Standard and scientific notation are the ways to represent numbers mathematically. We write numbers in standard and scientific notations using the rules for respective mathematical concepts. Here, 7.56×1011 7.56 × 10 11 is a scientific notation. 756,000,000,000 756 , 000 , 000 , 000 is standard notation.
Given:
7.45 x 10^3
So, when there is multiplication in decimals then the decimal point would shift to the right side.
Then,
7.45* 1000
=7450
Learn more about standard notation here:
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#SPJ2
a police car drives a constant speed of 64 mph.how far can it travel in 2 hours
ABCDEFGHIJKLMNOPQRSTUVWXYZ
Write the rules for determining the sign of the product when multiplying integers. Then, write (4 points)
the rules for determining the sign of the quotient when dividing integers. Use your own words
and use complete sentences. Make sure you answer both questions presented in this problem.
I
While multiplying a negative and another negative integer, the product's will be positive. While multiplying a positive and another positive integer, the product will be positive. It means that of the integers have same sign, then their product's sign will be positive. But, if the integers have different signs, i.e., one of them is positive and the other is negative, then the product will have negative sign.
While dividing a negative from another negative integer, the quotient will be positive. While dividing a positive from another positive integer, the quotient will be positive. It means that of the integers have same sign, then their quotient's sign will be positive. But, if the integers have different signs, i.e., one of them is positive and the other is negative, then the quotient will have negative sign.
Answer:
if the signs are the same the result is POSITIVE, if the signs are not the same the result is negative
Step-by-step explanation:
Simplify to create an equivalent expression.
8 – 4(-x + 5)
Choose 1 answer:
4.2 - 12
B
-4X – 12
С
4x + 13
D
4.2 + 5
Answer:
8 - 4 (-x + 5)
= 8 + 4x - 20
= -(20 - 8)
= -12
= -12 + 4x
?