Answer:
a=9
Step-by-step explanation:
(3a+1)/7=4
This deals with linear equations with one unknown.
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a=9
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Step by Step Solution:
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Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(3*a+1)/7-(4)=0
Step by step solution :
STEP
1
:
3a + 1
Simplify ——————
7
Equation at the end of step
1
:
(3a + 1)
———————— - 4 = 0
7
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 7 as the denominator :
4 4 • 7
4 = — = —————
1 7
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(3a+1) - (4 • 7) 3a - 27
———————————————— = ———————
7 7
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
3a - 27 = 3 • (a - 9)
Equation at the end of step
3
:
3 • (a - 9)
——————————— = 0
7
STEP
4
:
When a fraction equals zero
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
3•(a-9)
——————— • 7 = 0 • 7
7
Now, on the left hand side, the 7 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
3 • (a-9) = 0
Equations which are never true:
4.2 Solve : 3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
4.3 Solve : a-9 = 0
Add 9 to both sides of the equation :
a = 9
One solution was found :
a = 9
Hope this helps! Please mark Brainliest!
De Shawn pays 8.16 for 12 pounds of sugar.what is the price per pound of sugar
Answer:
$0.68 per pound
Step-by-step explanation:
The price of sugar is $0.68 per pound.
What is a Ratio?A ratio indicates the number of times one number contains another.
Given that, the person paid $8.16 for 12 pounds of sugar.
Therefore, mathematically it can be written as:
12 pounds of sugar = $8.16
1 pound of sugar = $(8.16/12)
1 pound of sugar = $0.68
Hence, the price of sugar is $0.68 per pound.
To learn more about ratios, click here:
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imnogay i promise please forgive me
Answer:The distance between -2, and 8 is 10
The distance between 4 and 1 is 3
Step-by-step explanation:
Select all of the following transformations that would map ΔCDE to ΔTSR. a reflection over the y-axis a reflection over the line x=5.5 a translation of (x, y)→(x+6, y) a rotation of 90° counterclockwise about the point (5.5, 0) a reflection over the line x=4, and a translation of (x, y)→(x+3, y)
Answer:
3445
Step-by-step explanation:
because og 56
Write a fraction whose equivalent decimal number is a terminating decimal. Write the equivalent decimal.
a. 1/4
b. 0.25
think long division
4 goes into 1 zero times
4 goes into 10 2 times with 2 left over.
bring down a zero
4 goes into 20 5 times
since a decimal was needed to show the quotient being less than 1, the quotient is 0.25
ya welcome bess frein
Answer:
Step-by-step explanation:
a. 1/4
b. 0.25
According to a recent poll 4060 out of 14500 people in the United States were classified as obese based on their body mass index whats the relative frequency of obesity according to this poll?
Answer:
around 28% of americans are obese
Step-by-step explanation:
The relative frequency of obesity according to this poll is 28 percent.
How to find the relative frequency?Relative frequency is the ratio of the considered sub group's count to the total count. (so its frequency of the considered sub group relative to the total frequency).
Suppose you've to calculate the joint relative frequency of a certain category out of the given big category.
Then its the ratio of the frequency of that certain category to the total frequency of that big category.
Given According to a recent poll 4060 out of 14500 people in the United States were classified as obese based on their body mass index .
Therefore, the relative frequency of obesity according to this poll is 28 percent.
Learn more about conditional relative frequency here:
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The regular price of sneakers is $89, they are on sale for 20% off. What is the final sale price?
Answer:
20% of 89 is 17.8
89 - 17.8 = 81.2
Answer 20% of 89 is 17.8
89 - 17.8 = 81.2
Step-by-step explanation:
Which of these numbers rounds to 0.3 when rounded to 1 decimal place?
Answer:
Anything from 0.31 - 0.34 rounds to 0.3
Old Man Withers just died. He left his collection of baseball cards to his two sons. Bill got 55% of the collection and his brother Bob received the rest.
How many cards did Bill receive if Bob received
360 cards, then how many cards did Bill as inheritance from his father?
Answer:
Step-by-step explanation:
Bill = 55% of the entire collection
Bob = 45% of the entire collection (Since we know 100 - 55 = 45)
We are also told that Bob received 360 cards.
This means that 45% = 360 cards.
First step is to find how many cards is 1%. To do this, divide 360 by 45.
1% of entire collection = [tex]\frac{360}{45} = 8[/tex] cards
This means that since Bill gets 55% of the entire collection, you multiply 8 by 55.
Bill = 8 x 55 = 440 cards.
Answer:
440
Step-by-step explanation:
simplify square root of 58
show the steps please♡
Answer: 2√14
Step-by-step explanation: First you have to
Choose the scenario below that matches this number sentence:
27 ÷ 5
A) 27 people share 5 bags of chips.
B) 5 people share 27 brownies.
Step-by-step explanation:
B 27 bags of chips by 5 people
Answer:
B) 5 people share 27 brownies.
Step-by-step explanation:
This is the answer because:
1) If 5 people are sharing 27 brownies, it means they are basically asking, how many brownies did each person get. Then, we would write the numerical sentence: 27 ÷ 5 because we want to know how many brownies each person got.
Hope this helps! :D
Which describes the slope of the given line?
A. Zero
B. Unidentified
C. Negative
D. Positive
Answer:
Option C (Negative)
Step-by-step explanation:
A line with a negative slope goes downward from the left side of the graph to the right side.
A positive line would be the opposite; the line goes upward form left to right.
A horizontal line has zero slope. A vertical line has undefined slope.
The given line has the line going downward.
Option C should be the correct answer.
Hope this helps.
Answer:
C. Negative
Step-by-step explanation:
the line moves from left to right(it's going down) meaning it has a negative slope.
I hope this helps! :)
WILL GIVE BRAINLIEST : Please calculate the following:
How many jelly beans fit in a one quart jar?
How many chips are in a batch of chocolate chip cookies?
Write out your calculations.
Answer:
804, the second one depends how many chips the chocolate chip cookies have in each
Step-by-step explanation:
Anagha's mother bought an equal number of ladoos and pedas. She put 13 of the ladoos and 15 of the pedas into a packet and gave it to Anagha to distribute at school. If there were a total of 80 sweets in the packet, how many ladoos did Anagha's mother buy?
Answer:
150
Step-by-step explanation:
Anagha's mother bought an equal number of ladoos and pedas. Let there are x number of ladoos and pedas.
She puts x/3 of the ladoos and x/5 of the pedas into a packet and gave it to Anagha to distribute at school.
Total no of sweets in the packet = 80
[tex]\dfrac{x}{3}+\dfrac{x}{5}=80\\\\\dfrac{5x+3x}{15}=80\\\\\dfrac{8x}{15}=80\\\\x=\dfrac{80\times 15}{8}\\\\x=150[/tex]
So, there are 150 ladoos brought by Anagha's mother.
Somebody who remembers how to do this plz answer all the questions correct!!!!! Thx:)
(WILL MARK AS BRAINLIEST)
Grade5math
Answer:
.3 .029 .0157 3.9 2.023 4.0129
i hope that helps!
what are the steps to solve n/7-5=-3
Answer:
n = 14
Step-by-step explanation:
n/7 - 5 = -3
n/7 = 2
n = 14
Solve the following equation for x: 3 (x+4) = 3x +11
Answer:
its c i got it good on ed hope it helps
Mrs. Ryan’s making lemonade she has 3/4 gal of water she uses 1/6 to make lemonade how many whole glass can she make
Answer: 2
Step-by-step explanation: She have to keep change flip
Find the domain of the square root of 2x−10
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] f(x) = \sqrt{2x - 10} [/tex]
[tex]Domain \: \: : \: 2x - 10 \geqslant 0[/tex]
Add sides 10
[tex]Domain \: \: : \: \: 2x - 10 + 10 \geqslant 10 \\ [/tex]
[tex]Domain \: \: : \: \: 2x \geqslant 10[/tex]
Divided sides by 2
[tex]Domain \: \: : \: \: \frac{2}{2}x \geqslant \frac{10}{2} \\ [/tex]
[tex]Domain \: \: : \: \: x \geqslant 5[/tex]
Done...
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PLS HELP 50 POINTS I WILL GIVE BRAINLIEST
Assume the vertical lines are parallel. Find the measures of angles 1-15.
7y+8y can be simplified to 15y
True or false
Answer:
true because you combine like terms
Answer:
True.
Step-by-step explanation:
The two terms share the same variable (as well as the same amount of that variable), that being y. Combine the coefficients:
7y + 8y = (7 + 8)y = 15y
~
will give brainliest for correct answer
Answer:90
Step-by-step explanation:
given the weekly demand curve of a local wine producer is p= 50-0.1q, and that the total cost function is c= 1500+ 10q, where q bottles are produced each day and sold at a price of $p per unit. a)Express the weekly profit as a function of price.b) at what price must a bottle of wine be sold to realise maximum profit. c) what is the maximum profit that ca be made by the producer
Answer:
a)the weekly profit as a function of price is[tex]P=-10 p^2 + 600 p - 6500[/tex]
b) a bottle of wine be sold at $30 to realise maximum profit
c) the maximum profit that can be made by the producer is $2500
Step-by-step explanation:
The weekly demand curve of a local wine producer is p= 50-0.1q
p = price
q = quantity
Revenue function R =Price \times Quantity
R=(50-0.1q)q
[tex]R=50q-0.1q^2[/tex]
Cost function: c= 1500+ 10q
Profit function=R(x)-C(x)
Profit function= [tex]50q-0.1q^2-1500-10q[/tex]
Profit function= [tex]40q-0.1q^2-1500[/tex] ----1
We have q = 500 - 10 p using p = 50 − 0.1q
[tex]P=-0.1 (500 - 10 p)^2 + 40 (500 - 10 p)- 1500\\P= -10 p^2 + 600 p - 6500[/tex]
General quadratic equation:[tex]ax^2+bx+c=0[/tex]
On comparing
a = -0.1 , b = 40 , c = -1500
Maximum Profit is at q = [tex]\frac{-b}{2a}=\frac{-40}{2(-0.1)}=200[/tex]
To find price must a bottle of wine be sold to realise maximum profit
p= 50-0.1q
p= 50-0.1(200)=30
Substitute the value of q in profit function(1) get the maximum profit
So, Profit function= [tex]40\left(200\right)-0.1\left(200\right)^{2}-1500=2500[/tex]
Hence
a)the weekly profit as a function of price is[tex]P=-10 p^2 + 600 p - 6500[/tex]
b) a bottle of wine be sold at $30 to realise maximum profit
c) the maximum profit that can be made by the producer is $2500
Molly and Maddie are clothes shopping. Molly has $100.00 and a coupon for a $5.00 discount at a clothing store where each shirt costs $15.00. Molly thinks that she can buy 8 shirts, but Maddie says that Molly can buy 7 shirts. The equations they used to model the problem are listed below.
Solve each equation algebraically, justify your steps, and determine who is correct and why.
Molly's equation
15x + 10 = 100
Maddie's equation
15x - 10 = 100
Step-by-step explanation:
let us start with
Molly's equation
15x + 10 = 100
solving for x we have
15x=100-10
15x=90
x=90/15
x=6
Maddie's equation
15x - 10 = 100
solving for x we have
15x=100+10
15x=120
x=120/15
x=8
well, from the solution niether of them is correct
n - 4 = 3n + 6
what number does n represent?
Answer:
n = -5
Step-by-step explanation:
n - 4 = 3n + 6
n = 3n + 10
-2n = 10
n = -5
Answer:
-5
Step-by-step explanation:
Lets start by combining some common terms. -4 can be brought over to the right as +4 and 3n can be brought to the left as -3n to make the statement -3n +n = 6+4
Simplifying that, we get -2n = 10
Dividing 10 by -2, we get n = -5
A sculptor is designing her new triangular masterpiece. In her scale drawing, the shortest side of the triangular piece to be made measures 9cm The longest side of the drawing measures 37cm The longest side of the actual triangular piece to be sculpted must be 16.3m long. How long will the shortest side of this piece be?
Answer:
396.5cm or 3.965m
Step-by-step explanation:
A sculptor is designing her new triangular masterpiece. In her scale drawing,
Scale Drawing
The shortest side = 9cm
The longest side = 37cm
Actual Drawing
The longest side of the actual triangular piece= 16.3m long.
We convert from meter to cm
1m = 100cm
16.3m =
Cross Multiply
= 16.3 m × 100cm/m
= 1630cm
How long will the shortest side of this piece be?
Let the shortest side be represented by x
9/37 = x/1630
Cross Multiply
37x = 9 × 1630
x = 9 × 1630/37
x = 396.48648649cm
≈ 396.5cm
Or converting to meter
= 396.5cm/100
= 3.965m
Hank's pickup can travel 65 miles on 5 gallons of gas. How many gallons will Hank's pickup need to travel 39 miles?
Answer: 3 Gallons
Step-by-step explanation:we divide 65 by 5 and it comes out to 13 so 13 is our miles per gallon and we divide it by 39 and end up with 3 gallons
Find an equivalent expression to 7y + 28x
please help asap, i will give brainliest
Answer:
1) 110*, 2) 84*, 3) 80*
Step-by-step explanation:
These are intersected parallel lines (with only 1 intersecting line), so having missing angles in the questions 1 and 2 opposite from the shown angle is giving the answer away. However, on answer 3, it is on the same side, so for that angle you will need to subtract the angle of the intersecting line by 100* to get 80*. Check by adding the two. 100* + 80* = 180*. Hope this helps.
Consider matrix A.
What matrix results from the elementary row operations represented by -2R2 + 3Rı?
Enter your answer by filling in the boxes.
I misread the question. Had the elementary row operations been represented by -3R2 + 4R1, then the answer would have been,
-36 23 -1
8 -1 3
hopefully this will still help some of you
The function y = -16t+ 40 represents the height y (in feet) of a water droplet t seconds after falling from an icicle. After how many seconds does the water droplet hit the ground? Round your answer to two decimal places.
Answer: The water fountain shoots water from a height of 6 ft.
Step-by-step explanation: When looking at a Quadratic Function on a graph it looks like a U (this one would be a upside down U). The top of that U is the Vertex. (keep in mind the question revolves around the X-Intersect)
A water droplet reaches its maximum height after 6 s IS WRONG
Talking about the VERTEX
It takes 6 s for a water droplet to rise and fall back to the ground IS WRONG
This is talking about the WHOLE Parabola
A water droplet reaches a maximum height of 6 ft. IS WRONG
This is also talking about the VERTEX