The correct answer is: [B]: " (x + 5) " .
______________________________
Explanation:
To solve:
_______________________________
Given:
_______________________________
" x² + 13x + 40 " ; factor into "two terms" ;
→ that is; "factor into 2 (two) binomial expressions" .
____________________________
What 2 (two) factors of: "+ 40" add up to " + 13 " ? ;
____________________________
+ 40, + 1 ?? ; → +40 + (+1) = +41 ; → + 41 ≠ + 13 ;
- 40 + (-1) ?? ; → - 40 + (-1) = - 40 - 1 = - 41 ; → - 41 ≠ +13 ;
+8, + 5 ?? ; → + 8 + 5 = + 13 ; → + 13 = + 13 . Yes!
So; the factors of: " x² + 13x + 40 " ;
are: " (x + 5) (x + 8) " .
______________________________
Among this 2 (two) binomial factors: "(x + 5)" AND: "(x + 8)" ;
one of these: " (x + 5) " — appears among the answer choices provided;
→ which is: [B]: " (x + 5) " .
______________________________
The correct answer is: [B]: " (x + 5) " .
______________________________
Hope this helps!
Best wishes in your academic endeavors — and
within the "Brainly" community!
______________________________
If someone could help me with this that'd be great!
in cooking, 1 drop is equal to 1/6 of a dash. if a recipe calls for 2/3 of a dash, write an expression that would give the number of drops that are needed
Remark
You need only set up a proportion
Use the given first. Then let x = the number of drops.
1 drop / (1/6 dash) = x / (2/3 dash)
Rather than try and figure out what the fractions are going to do, why not change everything to decimals?
1/0.16666667 = x /0.6666667 multiply both sides by 0.6666667
1 * 0.6666667 / 0.16666667 = x
x = 4. That's the answer you would get if you kept the fractions. But decimals are much easier to handle in cases like this than are fractions.
If you want this in terms of genenerally how many drops would there be then
y = (1/6)*x <<< Answer
Where y is the number of dashes and x is the number of drops.
Monica is mixing some custom colored paint for her house. The color she wants requires 3/4 ounces of blue dye and 2/3 of an ounce of pink dye mixed with each gallon of white paint base. How much dye is needed to mix 8 gallons of paint?
A. 11 5/7
B. 11 2/3
C. 11 1/3
D. 11 2/3
Amount of blue dye mixed with one gallon of white paint=[tex]\frac{3}{4}[/tex]
Amount needed for 8 gallons = [tex]\frac{3}{4}\times8=6[/tex] ounce
Amount of pink dye mixed with one gallon of white paint=[tex]\frac{2}{3}[/tex]
Amount needed for 8 gallons = [tex]\frac{2}{3}\times8= \frac{16}{3}[/tex] ounces
So, total dye required =[tex]6+\frac{16}{3}=\frac{18+16}{3}=\frac{34}{3}[/tex]
or
[tex]11\frac{1}{3}[/tex] ounces.
Hence, option C is correct.
HELP ME QUICKLY PLZ!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Simplify the given equation.
17x - 6 + 3x - 5 = x + 11 + 4x
20x - 11 = 5x + 11
20x + 1 = 5x + 11
9x = 16x
Answer: 1 7/15
We need to figure out how we got that answer...
17x-6+3x-5= x+11+4x
17x-11+3x=x+11+4
20x-11=x+11+4x
20x-11=5x+11
Make sure to subtract 5x
20x-11-5x=11
15x-11=11
Make sure to add 11
15x=11+11
15x=22
Make sure to divide by 15
x= 22/15
x= 1 7/15
Hope this helps...
-Justin0208
Is the statement 32+(-17) is 17 units from 32 in the positive direction direction true.
Hello there!
[tex]32+(-17)[/tex]
Explanation:
↓↓↓↓↓↓↓↓↓
First you had to remove parenthesis.
[tex]32-17[/tex]
Then you had to subtract by the numbers.
[tex]32-17=15[/tex]
[tex]=15[/tex]
Answer⇒⇒⇒=15
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
No, statement 32+(-17) is 17 units from 32 in the positive direction direction is true is a false statement.
we have to check the statement 32+(-17) is 17 units from 32 in the positive direction is true or not.
What is negative direction?If the object moves in opposite then the velocity of it is negative.
The given statement is 32+(-17) .
We need to check is 17 units from 32 in the positive direction direction true or not.
By the definition of negative direction, -17 is in negative direction.
32+(-17), 17 has negative Direction
Therefore 32+(-17) is 17 units from 32 in the positive direction is false.
To learn more about Negative Direction click here: https://brainly.com/question/16038935
#SPJ2
The volume of a square is V equals S to the fourth. The side of a square is 4X to the third, what is the volume of the square
note a square is a 2 dimensional figure and so cannot have volume.
However, the 3 dimensional solid you may mean is a cube and the volume of a cube is
V = s³ ( where s is the length of the side )
here s = 4x, hence
V = (4x)³ = 64x³
I need help with this math problem pls help me
3(4x - 2) = 30
12x - 6 = 30 distributed 3 on the left side
+6 +6
12x = 36
[tex]\frac{12x}{12} = \frac{36}{12}[/tex]
x = 3
Answer: x = 3
Solve the equation 3x+5y=16 for y
The value of y for the expression is y = (16 - 3x)/5
We have,
An expression contains one or more terms with addition, subtraction, multiplication, and division.
Al the like terms on one side of the expression if we are dealing with two sides of an expression.
Expression:
3x + 5y = 16
Subtract 3x on both sides.
3x + 5y - 3x = 16 - 3x
5y = 16 - 3x
Divide 5 on both sides.
y = (16 - 3x)/5
Thus,
The value of y for the expression is y = (16 - 3x)/5
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ4
Explain each of the following forms of representing decimals: standard form, expanded form, word form
What’s 4x-7=13 in simplest form
First person to ask gets brainliest
Answer:
X = 3 because simplified it would be 2x=6Answer:
X = 5
Step-by-step explanation:
Step 1: Add 7 to both sides.
4x − 7 + 7 = 13 + 7
4x = 20
Step 2: Divide both sides by 4.
4x/4 = 20/4
X = 5
Hope this helps :-)
Find the values of X and Y
Answer:
From the image we have,
[tex](11x-6)^{\circ}[/tex] and [tex](13y-14)^{\circ}[/tex] are linear pairs.
Linear Pair Theorem: If two angles form a linear pair, then they are supplementary.
therefore, by above theorem we have,
[tex]11x-6+13y-14=180^{\circ}[/tex]
simplify:
[tex]11x+13y=200^{\circ}[/tex]
Since, we can seen from the image we have, [tex]15x-8=90^{\circ}[/tex]
[tex]15x=98^{\circ}[/tex]
therefore, [tex]x=6.534^{\circ}[/tex]
Now, putting the value of x in equation [tex]11x+13y=200^{\circ}[/tex] to find for y:
[tex]11\cdot 6.534+13y=200^{\circ}[/tex]
[tex]71.8667+13y=200^{\circ}[/tex]
[tex]13y=200-71.867=128.134^{\circ}[/tex]
Therefore the values of [tex]x=6.534^{\circ}[/tex] and [tex]y=128.134^{\circ}[/tex]
Bella is baking chocolate chip cookies for an event. It takes of a cup of flour to bake 6 cookies. She uses cups of flour for every 50 chocolate chips used. There are a total of 150 chocolate chips for each tray of cookies.
If Bella is baking 2 trays of chocolate chip cookies, then how many cookies will she bake in total?
A.
90 cookies
B.
66 cookies
C.
40 cookies
D.
32 cookies
Ratios and Proportions
Tools
Save Session
Questions:
0 of 10 Answered
1
2
3
4
5
6
7
8
9
10
Answered
Current
Unanswered
2 of 10 Answered
Session Timer: 6:53
Session Score: 50% (1/2)
Answer:
Option B. 66 cookies
Step-by-step explanation:
The complete question is
Bella is baking chocolate chip cookies for an event. It takes 3/5 of a cup of flour to bake 6 cookies. She uses 1 1/10 cups of flour for every 50 chocolate chips used. There are a total of 150 chocolate chips for each tray of cookies. If Bella is baking 2 trays of chocolate chip cookies, then how many cookies will she bake in total?
step 1
we know that
There are a total of 150 chocolate chips for each tray of cookies
Find out the number of chocolate chips if Bella is baking 2 trays
so
using proportion
Let
x ----> the number of chocolate chips
[tex]\frac{150}{1}=\frac{x}{2}\\\\x=150(2)\\\\x=300\ chocolate\ chips[/tex]
step 2
we know that
She uses 1 1/10 cups of flour for every 50 chocolate chips used.
Find out the number of cups of flour for 300 chocolate chips
so
using proportion
Let
x ----> the number of cups of flour
Convert mixed number to an improper fraction
[tex]1\frac{1}{10}\ cups=\frac{1*10+1}{10}=\frac{11}{10}\ cups[/tex]
[tex]\frac{(\frac{11}{10})}{50}=\frac{x}{300}\\\\x=\frac{66}{10}\ cups[/tex]
Simplify
[tex]\frac{66}{10}\ cups=\frac{33}{5}\ cups[/tex]
step 3
we know that
It takes 3/5 of a cup of flour to bake 6 cookies
Find out the number of cookies she bake for 33/5 cups of flour
so
using proportion
Let
x -----> the number of cookies
[tex]\frac{6}{(3/5)}=\frac{x}{(33/5)}\\\\x=6(33)/3\\\\x=66\ cookies[/tex]
Answer:
66
Step-by-step explanation:
i guessed a got correct
Vector has 4 orange picks for every three green picks. If 8 of the picks are orange, how many picks are green?
The answer is 6.
If we know that you get 3 greens for every 4 oranges then all we need to do is extrapolate.
The ratio of orange picks to green picks is 4:3. Given 8 orange picks, we use a proportion to find that there are 6 green picks. Therefore, there are 6 green picks.
To solve this, set up a proportion:
4 orange picks / 3 green picks = 8 orange picks / x green picksCross-multiply to find the value of x:
4 × x = 3 × 84x = 24Divide both sides by 4:
x = 6Therefore, there are 6 green picks.
Hence, if there are 8 orange picks, then there are 6 green picks.
I just need help with #4
2 x 10³ = 2000
5 x 10 = 50
7 x 10⁻² = 0.07
1 x 10⁻³ = 0.001
2050.071
First operation is multiplication .
(2000)+(50) +(0.07)+(0.001) =2050.071
5 cakes cost £4 how much do 7 cakes cost
You can solve this using proportion.
5 = 4
7 = ?
7(4)/5= 5.6
7 cakes cost £5.6
£5.60
divide £4 by 5 to obtain the cost of 1 cake then multiply this value by 7 for the cost of 7 cakes
5 → £4
7 → £4 × [tex]\frac{7}{5}[/tex] = £5.60
ANSWER FAST PLEASE Which is a reasonable first step that can be used to solve the equation 4x+3(x+2)=5(2x-3)
The answer would be A) Distribute
And solving it would leave you with x = 7
The answer is A)Distribute the 3 to x + 2, and distribute the 5 to (2x - 3). because it expands the equation and makes it easier to solve further.
Add 5/9+7/9 . Simplify the answer and write a mixed number
Hello there!
First you had to solving by the fractions parts.
[tex]\frac{5}{9}+\frac{7}{9}=\frac{12}{9}[/tex]
Then you reducing by the fraction parts of 12/9.
[tex]\frac{12}{9}=\frac{4}{3}[/tex]
And finally, you simplify by the fraction parts of 4/3.
[tex]\frac{4}{3}=1 \frac{1}{3}[/tex]
Solution by Formulas
Applying the fractions formula for addiction.
[tex]\frac{(5*9)+(7*9)}{9*9}[/tex]
[tex]\frac{45+63}{81}[/tex]
[tex]=\frac{108}{81}[/tex]
Simplifying 108/81 and the answer is
[tex]=1 \frac{1}{3}[/tex]
Hope this helps!
Thank you for posting your question at here on Brainly.
-Charlie
The sum of 5/9 and 7/9 expressed as a mixed fraction is [tex] 1 \frac{1}{3}[/tex]
L.C.M of the denominator is 9
Now we have ;
5/9 + 7/9 = (5 + 7)/9 = 12/9
Rewriting as a mixed fraction :
12/9 = [tex] 1 \frac{1}{3}[/tex]
Therefore, the sum of the fractions expressed as a mixed fraction is [tex] 1 \frac{1}{3}[/tex]
Learn more on fractions :https://brainly.com/question/78672
#SPJ2
which equation is the inverse of y=7x^2-10
y = 7x^2 - 10
Switch y and x.
x = 7y^2 - 10
Solve for y.
Add 10 to both sides.
x + 10 = 7y^2
Divide both sides by 7.
(x + 10)/7 = y^2
√ both sides.
√(x + 10)/7 = y
Replace y with f^-1(x)
f^-1(x) = √(x + 10)/7help me on this one 4y - (y -4) =-20
Hey there!!
Given equation :-
... 4y - ( y - 4 ) = -20
Let' re write this equation as :
... 4y -1 ( y - 4 ) = -20
Using the distributive property :
... 4y + ( -1 ) ( y ) + ( -1 ) ( -4 ) = -20
... 4y - y + 4 = -20
Combining like terms :
... 3y + 4 = -20
Subtracting 4 on both sides :
... 3y = -24
Dividing by 3 on both sides :
... y = -24/3
... y = -8
Hope my answer helps!!
the length of a rectangular pen is 5 more than its width. The perimeter is 26 meters. Find the length and width.
the product of two numbers is 814. the sum is 59. whats the difference of these two numbers
x + 4 is prime x2 – 9 can be factored using the formula.
We are given two binomials: x+4 , x^2-9.
x+4 can't be factored. Therefore, it is a prime.
Let us work on x^2-9.
9 could be written as 3^2.
Therefore, x^2-9 = x^2 - 3^2.
Now, we can apply difference of the squares formula to factor it.
We know a^2 -b^2 = (a-b) (a+b).
Therefore, x^2 - 3^2 can be factored as (x-3) (x+3).
So, x^2-9 is not a prime binomial because it can be factored as (x-3) (x+3).
Answer:
difference-of-squares
Step-by-step explanation:
x + 4 is prime
x2 – 9 can be factored using the
difference-of-squares formula.
Pears cost $0.92 per pound and apples cost $1.10 per pound. Mr. Bonilla bought 3.75 pounds of pears and 2.1 pounds of apples How much did he pay for the pears and apples?
kim made two pies that were excatly the same size. the first pie was a cherry pie, which she cut into 6 equal slices. the second pie was a pumpkin pie,which she cut into 12 equal slice. kim takes her pies to a party. people eat 3 slices of cherry pie and 6 slices of pumpkin pie. did people eat more cherry pie or punpkin pie?
Neither. It’s equal.
6 cherry = 12 pumkin
Ratio is 1c : 2p
3 cherry = 6 pumkin so they ate the same amount.
a quarter is 1.75 millimeters thick. how high is a stack of 1000 quarters?
Thickness of 1 quarter = 1.75 mm
So, 1000 quarters will be = [tex]1000\times1.75[/tex]
= 1750 mm
So, a stack of 1000 quarters will be 1750 mm high.
To find the height of a stack of 1000 quarters, multiply the thickness of one quarter by the number of quarters in the stack and convert the result to meters.
To find the height of a stack of 1000 quarters:
Calculate the total thickness of 1000 quarters: 1.75mm x 1000 = 1750mm = 1.75m
1 meter = 1000 millimeters, so the height of a stack of 1000 quarters would be 1.75 meters.
Which size container of cold farm ice cream is the better deal for Sheldon? Explain.
Cold Farms:
Small box
1 pint = $2.50
1 quart = $4.50
Large Box
1 quart = 2 pints .
2 pints = $4.50
1 pint = $4.50 / 2 = $2.25
Cone Dreams:
Small box
1 quart = $4.25 and
1 pint = $4.25/2 = $ 2.125
Large Box
1 gallon = $9.50.
1 gallon = 8 pints
8 pints = $9.50.
1 pint = $9.50 / 8 = $ 1.1875.
Answer:
The larger size of the cold farm ice cream is the better deal . To get the equivalent volume of the small size to the large size , one needs to spend $2.5 + $2.5 = $5.0 where as for the larger size you will only spend $ 4.5.
Step-by-step explanation:
The price for cold farm ice cream for the small size is $2.5 for 1 pint and for the larger size it is $4.5 for 1 quarts. Sheldon wants to know the better deal for the size container of cold farm ice cream.
Firstly, the prices are in different volume unit we need to convert them to the same units.
1 pints = 0.5 quarts
That means small size of cold farm ice cream is $ 2.5 for 0.5 quart and larger size is $ 4.5 for 1 quart.
Small size
$2.5 for 0.5 quart
$5.0 for 1 quart
Larger size
$ 4.5 for 1 quart
The larger size of the cold farm ice cream is the better deal . To get the equivalent volume of larger size , one needs to spend $2.5 + $2.5 = $5.0 where as for the larger size you will only spend $ 4.5.
NOW THIS IS easy but if u don't wanna help ig it's fine
Givens
Let C = number of caterpillars.
Let L = legs on each.
Let T = total number of legs.
Formula
T = C*L
how do you do 7x14 an in expanded form how❓
I believe it would be seven multiplied by fourteen.
If 5 students had to share 7 brownies, how much would each student get?
In Microsoft Excel, you have data that has been entered into cell A1. You need a function that looks up this value from A1 in a table of values in E1 through F10. You need to have the value from the second column (F) be displayed in the cell in which you are writing this formula. Also, A1 will precisely match one of the values in the first column (E). What formula would you write to look up this information?
I'm going to assume that there is something in A1 but the way you are describing the problem, you could just as easily write a constant in the formula you are using in cells E1 to E10 and F1 to F10
The trick is to refer to A1 as $A$1 which means that E1 to E10 isn't going to get creative and start looking for things in a1 to a10.
Here is an actual table made from what I think you mean
1 113 114
2 114 116
3 115 118
4 116 120
5 117 122
6 118 124
7 119 126
8 120 128
9 121 130
10 122 132
1 to 10 on the left is in column D
A1 contains 112
In column E the enteries from 1 to 10 simply take = $A$1 + d1
Column F uses $A$1 and adds 2*d to 112
Here is the chart shown in formula form.
1 =D1+$A$1 =$A$1 + 2*D1
2 =D2+$A$1 =$A$1 + 2*D2
3 =D3+$A$1 =$A$1 + 2*D3
4 =D4+$A$1 =$A$1 + 2*D4
5 =D5+$A$1 =$A$1 + 2*D5
6 =D6+$A$1 =$A$1 + 2*D6
7 =D7+$A$1 =$A$1 + 2*D7
8 =D8+$A$1 =$A$1 + 2*D8
9 =D9+$A$1 =$A$1 + 2*D9
10 =D10+$A$1 =$A$1 + 2*D10
Remember that 1 to 10 is in d1 to d10
To look up a value from A1 in a table (E1:F10) and display the corresponding value from column F, use the formula =VLOOKUP(A1, E1:F10, 2, FALSE) in the desired output cell.
To look up the value in cell A1 from a table in E1 through F10 and return the value from the second column (F), you would use the VLOOKUP function. The appropriate formula to enter into the cell where you want to display the result would be =VLOOKUP(A1, E1:F10, 2, FALSE). This formula begins with an equal sign, as all Excel formulas do, and instructs Excel to find the value in cell A1 within the first column of the range E1:F10 and return the corresponding value from the second column of that range. The FALSE argument specifies that you want an exact match.