Given :
A bag with 2 ½ ounces of peanuts can make ⅔ of a jar of peanut butter.
To Find :
How many ounces of peanuts will it take for there to be one jar of peanut butter.
Solution :
[tex]2\dfrac{1}{2}\ ounces = \dfrac{2}{3}\ jar\\\\\dfrac{5}{2}\ ounces = \dfrac{2}{3}\ jar\\\\1= \dfrac{15}{4}\ \dfrac{ounces}{jar}[/tex]
Now,
1 jar of peanut butter is made by :
[tex]1\times jar \times \dfrac{15}{4} \dfrac{ounces}{jar}\\\\\dfrac{15}{4}\ ounces[/tex]
Hence, this is the required solution.
(x+12) (3x+2)
Find the value of X
Step-by-step explanation:
Equation at the end of step 1
(3x2 - 38x) + 24 = 0
STEP2:Trying to factor by splitting the middle term
2.1 Factoring 3x2-38x+24
The first term is, 3x2 its coefficient is 3 .
The middle term is, -38x its coefficient is -38 .
The last term, "the constant", is +24
Step-1 : Multiply the coefficient of the first term by the constant 3 • 24 = 72
Step-2 : Find two factors of 72 whose sum equals the coefficient of the middle term, which is -38 .
-72 + -1 = -73 -36 + -2 = -38 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -36 and -2
3x2 - 36x - 2x - 24
Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (x-12)
Add up the last 2 terms, pulling out common factors :
2 • (x-12)
Step-5 : Add up the four terms of step 4 :
(3x-2) • (x-12)
Which is the desired factorization
Equation at the end of step2:
(x - 12) • (3x - 2) = 0
STEP3:Theory - Roots of a product
3.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
3.2 Solve : x-12 = 0
Add 12 to both sides of the equation :
x = 12
Solving a Single Variable Equation:
Step-by-step explanation:
[tex]if \: (x + 12) = (3x + 2) \\ 12 - 2 = 3x - x \\ 2x = 10 \\ x = 5 \\ \\ \\ if(x + 12)(3x + 2) = 0 \\ x + 12 = 0 \: \: \: or \: \: \: 3x + 2 = 0 \\ x = - 12 \: \: \: or \: \: \: x = - \frac{2}{3} [/tex]
Write the slope of the line passing through the two points: A(–1,4) and B(2,−2).
Answer:
slope = -2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Over the course of a month, caught three times as many squirrels as deer. She also caught five less rabbits than squirrels. The total number of animals she caught is ten more than four times the number of deer caught. How many rabbits did Katniss catch?
Answer:
The number of rabbits Katniss caught = 10 rabbits
Step-by-step explanation:
The number of squirrels Katniss caught = 3 × (The number of deer she caught)
The number of rabbits Katniss caught = The number of squirrels she caught - 5
The total number of animals she caught = 10 + 4 × (The number of deer she caught)
Let the number of deer Katniss caught = D
∴ The number of squirrels she caught = 3×D
The number of rabbits Katniss caught = 3×D - 5
The total number of animals she caught = 10 + 4 × D
Therefore, we have;
The number of squirrels she caught + The number of deer she caught + The number of rabbits she caught = 10 + 4 × D
3×D + D + 3×D-5 = 10 + 4 × D
7·D - 5 = 10 + 4·D
7·D - 4·D = 10 + 5
3·D = 15
D = 15/5 = 5
∴ The number of deer Katniss caught = D = 5
The number of rabbits Katniss caught = 3×5 - 5 = 10
The number of rabbits Katniss caught = 10 rabbits.
Jacob and Quinn are reading a book together. Jacob has read 5 more than 2 times the number of pages that Quinn has. Together they have read 107 pages. How many pages have they both read?
roberto garcia ha jugado en las ligas menores durante 11 años. el total de jonrones en cada año ha sido de: 56,62,49,65,58,52,68,72,25,64. ¿Cuantos jonrones necesita Roberto para que la próxima temporada pueda tener una media de 60 en 12 años?
Los puntos de datos dados son 10
Responder:
89 jonrones
Explicación paso a paso:
Dados los datos:
Datos de jonrones durante 11 años:
56,62,49,65,58,52,68,72,25,64
Para promediar 60 jonrones en 12 años:
Tome la media de los datos, utilizando una incógnita para el Número de jonrones en el año 12:
[(56 + 62 + 49 + 65 + 58 + 52 + 68 + 72 + 25 + 64 x) / 11] = 60
[(571 + x) / 11] = 60
571 + x = 60 * 11
571 + x = 660
x = 660 - 571
x = 89
Marny can type 20 words in 1/3 of an hour. How many words can she type per hour? *
Answer:
60 words
Step-by-step explanation:
20*/X3=60
Answer:
60 words
1/3 of an hour is 20 minutes
20 words every 20 minutes is 1 word per minute, 60 minutes is 60 words.
OR
20 = 1/3 (hour)
x3
60= 1 (hour)
Which of the following can be divided by 3, with no remainder?
A)555
B)2018
C)46
D)739
E)8912
Answer:
A) 555
Step-by-step explanation:
555/3 = 185
Check and make sure; 185 x 3 = 555
Hope this helps!
-Jerc
Answer:
A)555 becuse 555/3=185
30-40 POINTS PLEASE HELP ME!!!!!!!!!!!!!! ITS VERY QUICK JUST PLS HELP TY
The figure shows the letter W and four of its transformed images—A, B, C, and D:
Which of the four images was formed by a reflection of the letter W?
A
B
C
D
Answer:
I would say D. for your answer.
Step-by-step explanation:
it wouldn't be upside down now would it?
Also just write it on a paper and flip it over. (Write it dark to see it better)
Hope this Helped
<3
I think is D
PLEASE MARK ME AS BRAINLIEST
The function g(x) is a transformation of the cube root parent function, f(x) = \sqrt[3]{x}f(x). What function is g(x)?
Answer: D
Step-by-step explanation:
First, remember two things about translations.
For a function f(x).
A horizontal translation to the right of N units is written as:
f(x - N)
A vertical translation up of N units is written as:
f(x) + N.
Now let's look at the graph.
You can see that:
g(x) is: 4 units at the right of f(x) and 3 units bellow f(x).
Then we have:
g(x) = f(x - 4) - 3.
and f(x) = ∛x
then g(x) = ∛(x - 4) - 3
The correct option is D.
The function g(x) is transformed from the function f(x) by translating function f(x) by 4 units in the right direction and then by translating that graph 3 units in a downward direction.
Given :
Function -- [tex]\rm f(x) = \sqrt[3]{x}[/tex]
The following steps can be used to determine the unknown function g(x):
Step 1 - According to the given graph, translate function f(x) 4 units in the positive x-axis that is in the right direction.
Step 2 - Now, again according to the given graph, translate function f(x) 3 units in the downward direction that is in the negative y-axis.
Step 3 - The resulting graph is the graph of the function g(x). Whose equation is written as:
[tex]\rm g(x) = \sqrt[3]{x-4} - 3[/tex]
So, the correct option is D).
For more information, refer to the link given below:
https://brainly.com/question/4700926
Deanna estimated the product of 6.45 and 10.2 below.
(6.45) (10.2) almost-equals 6 times 10 = 60
How does the estimate compare to the exact product?
The estimate is high because both factors are rounded down.
The estimate is low because both factors are rounded down.
The estimate is high because both factors are rounded up.
The estimate is low because both factors are rounded up.
Answer:
B
Step-by-step explanation:
I took the test
Answer:
B
Step-by-step explanation:
i took the test and edg as well TvT
A skating rink charges a group rate of $9.25 plus a fee to rent each pair of skates. A family rents 7 pairs of skates and pays a total of $39. How much does it cost to rent one pair of skates?
Answer:
4.25$ per pair of skates
Step-by-step explanation:
Subtract 9.25 from 39. You get 29.75. Just divide 29.75 by 7 and you get 4.25
Solve the system below by substitution.
6x - y = - 23
2x + 5y = -13
Answer:
x= -4 y= -1
Step-by-step explanation:
6x - y = - 23
-y=-23-6x
y=6x+23, use this to plug in for y in the second equation.
2x + 5y = -13
2x + 5(6x+23) = -13
2x+30x+115=-13
x= -4, use this to plug in for x in the first equation.
6x - y = - 23
6(-4)-y=-23
-24-y=-23
-y=-23+24
-y=1
y= -1
The values after solving the equations by substitution is that the value of x is -4 and the value of y is -1.
What is an arithmetic operation?The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.
As per the provided data in the question,
6x - y = -23 (i)
2x + 5y = -13 (ii)
Multiply equation (ii) by 3
6x + 15y = -39 (iii)
Solve equation (i) and (iii)
-16y = 16
y = -1
Substitute y = -1 in equation (i)
6x = -23 - 1
x = -4.
To know more about arithmetic operation:
https://brainly.com/question/13585407
#SPJ2
I would really appreciate some help
Answer:
A or x = 1
Step-by-step explanation:
So we can see from the most right column that the sum of the three number is 9 (2 + 4 + 3) so we know that every row or column has to add up to 9. We want to find x so we must make sure that, 8 + 0 + x should be 9 and 2 + 6 + x should be 9. From 8 + 0 + x, we know that 8 + 1 is 9 so x is 1. We can also see that 2 + 6 is 8 and 8 + 1 is 9 so x = 1.
Easy math for you
a & b
Answer:
see explanation
Step-by-step explanation:
(a)
There is a common difference d between consecutive terms, that is
d = 12 - 0 = 24 - 12 = 36 - 24 = 48 - 36 = 12
This indicates the sequence is arithmetic with common difference 12
(b)
To obtain the next term add 12 to the previous term, that is
48 + 12 = 60 and 60 + 12 = 72
The next 2 terms in the sequence are 60 and 72
Answer:
if it easy math you do it = 12 times
Step-by-step explanation:
12 24 36 48 / 60 72 84 96 108 120 132 144
Is the sequence below arithmetic or
geometric? Solve for the Q18.
{4, 11,
18, 25,... }
Answer:
arithmetic
I am not sure what solve for the Q18 is
Step-by-step explanation:
4+7=11
11+7=18
18+7=25
Need help ASAP!! Tysm
Answer:
60 cm
Step-by-step explanation:
remember, the area of a triangle is found by
1/2 b h
or half of the base times the height
so using that plug in the values:
the base is made of two 5s; 2* 5 is 10 so the base is 10cm long
the height is 12cm
so
1/2 * 12 * 10
= 6 * 10
= 60
Answer:
I think its 60
Step-by-step explanation:
To find the area of a triangle you do (height x base) divided by 2
5+5=10
12 x 10 = 120
120 divided by 2 is 60
Find last year’s salary if, after a 5% pay raise, this year’s salary is $40,950
Answer:
3900
Step-by-step explanation:
40950/1.05
Answer:
3900 I think
the 1 st one is corect
Help me and can you put the equation you used
Answer:
3.45652173913
Step-by-step explanation:
the equation is 159 divided by 46
16) Which of the following best represents the
range of the graph below?
A) -3 5 y 38
C) y22
B) y2-3
D) All real numbers
Find the base if the part is $570 and the rate of increase is 14%. Round to the nearest cent if necessary.
Answer:
$500.00
Step-by-step explanation:
To solve this problem, you use the basic percent formula.B = P / (1 + R)B = 570 / (1.14)B = 500
A florist prepares an order of daisies and roses. For every 5 daisies, she orders 2 roses. What two equations show the relationship between the number of daisies and the number of roses.
Answer:
The answer is 10
Step-by-step explanation:
it says for every 5 daisies and 2 roses it like getting 2 and putting it into 5 groups which equals
10.
What is 9,2345 + 35.98
the answer is
92,380.98
Answer:
9,2380.98
Step-by-step explanation:
92345
+00035.98
SIMPLIFY THIS EXPRESSION:
5(7 + 3x) - 12
Answer:
15x+23
Step-by-step explanation:
can u make me brainliest plz?
Answer:
15x+23
Step-by-step explanation:
:)
What is the value of x if 15 = 5x +45?
Answer:
x=-6
Step-by-step explanation:
start by subtracting 45 on both sides to get the variable by itself.
Next divide by 5 to get the value of x.
Write the standard form of the line that passes through the given points (1, 1) and (3, 4)
see what should to do buddy :
step 1-
first we have to find the gradient of the line like this:
a ( 1 , 1 )
b ( 3 , 4 )
.
step 2-
now just need one of the a or b point to put in this equation :
.
step 3-
to find the standard form of the line we have to take the y alone.
so we add the sides of the equation plus 1.
[tex]y = \frac{3}{2}x - \frac{3}{2} + 1 \\ \\ \\ y = \frac{3}{2}x - \frac{1}{2} [/tex]
And we're done.
good luck buddy ♥️♥️♥️♥️♥️
Standard form of the line passing through points (1, 1) and (3, 4) is
y = (3 / 2)x - (1 / 2).
What is line?
"Line is a one dimensional figure which has only one dimension that is length no other dimension present in it."
Formula used
( x₁ , y₁) and (x₂ , y₂) are the two points through which line passes
[tex]\frac{x-x_{1} }{x_{2} -x_{1} } =\frac{y-y_{1} }{y_{2} -y_{1} }[/tex]
According to the question,
Given ,Line passes through points( 1, 1 )and (3,4)
Substitute the value in the formula to get standard form of line we get,
[tex]\frac{x-1 }{3 -1} =\frac{y-1 }{4 -1 }[/tex]
⇒3(x -1) = 2(y -1 )
⇒3x -3 = 2y -2
⇒y = (3/2)x - (1/2)
Hence, standard form of the line passing through points (1, 1) and (3, 4) is
y = (3 / 2)x - (1 / 2).
Learn more about line here
https://brainly.com/question/21511618
#SPJ2
Which scale factors produce a contraction under a dilation of the original image?
Select each correct answer.
−1.8
−0.8
0.8
1.8
Answer:
-0.8 and 0.8
Step-by-step explanation:
Answer:
I beleive the answer is -.8 and 0.8
Have A great rest of your day :)
hel.p me samy keeps sayi.ng the f word and she’s gonna get introuble
Answer:
smack her or washout her mouth with soap than
Step-by-step explanation:
Ms. Simpson and her friends are planning to take a trip next summer to drive to Big Bend National Park. They plan to split the cost of gas equally among the 4 of them. Ms. Simpson expects that each person will pay at most $35.
Let x represent how much Kira expects the gas to cost in all. Which inequality describes the problem?
Answer:
[tex]\dfrac{x}{4} \le 35[/tex]
Step-by-step explanation:
There are 4 people splitting the gas cost equally.
Each person will pay at most $35, so the gas cost to each person can be less than $35 or equal to $35.
The total gas cost is x. The gas cost for each person is 1/4 of the total, so it is x/4.
Answer:
[tex]\dfrac{x}{4} \le 35[/tex]
What is the coefficient in the expression 40a-61=17
Answer:
a = 1.95
Step-by-step explanation:
40a - 61 = 17
40a - 61 + 61 = 17 + 61
40a = 78
40a / 40 = 78 / 40
a = 1.95
WILL GIVE BRAINLIEST!!
Answer:
its y 3
Step-by-step explanation:
Answer:
Find the equation of a line from a graph
To find an equation of a line given two points.
Find the slope using the given points. m=y2−y1x2−x1.
Choose one point.
Substitute the values into the point-slope form: y−y1=m(x−x1).
Write the equation in slope-intercept form.
Step-by-step explanation:
Hope this helps leave a heart c: