Solve x=4 (.34x + 1.4)
I have 7/8 of a gallon of juice and i give 1/2 away how much would i have left please show the work
Fred buys a binder for $4.50 and six reams of paper. Latasha buys an ink cartridge for $17.50 and four reams of paper. Both spend the same amount of money. What is the price of one ream of paper?
Answer:
The the price of one ream of paper is $6.5.
Step-by-step explanation:
Here, Let us assume the cost of one ream of paper = $ m
The money spent by Fred:
The money spent on a binder = $4.50
The money spent on 6 ream of papers = 6 x ( cost of 1 ream )
= 6 x ($m) = 6 m
⇒The total money Fred spent = Money spent on (binder + 6 ream of papers)
= 4.50 + 6 m ....... (1)
The money spent by Latasha:
The money spent on a cartridge = $17.50
The money spent on 4 ream of papers = 4 x ( cost of 1 ream )
= 4 x ($m) = 4 m
⇒The total money Latasha spent = Money spent on (cartridge + 4 ream of papers)
= 17 .50 + 4 m .... (2)
Also, Both spend the same amount of money
⇒4.50 + 6 m = 17 .50 + 4 m ( from (1) and (2))
or, 6 m - 4 m= 17. 50 - 4, 50
or, 2 m = 13
or, m = 13/ 2 = 6.5
So, the value of m = $6.5
Hence, the the price of one ream of paper is $6.5.
Gail bought 80 buttons to put on the shirts she makes. She uses 5 buttons for each shirt. How many shirts can Gail make with the buttons she bought?
Jared is taking diving lessons and starts 20 feet below sea level. He then dives down another 10 feet. From there, he goes up 15 feet. Which equation shows Jared’s a current level?
Answer:
-20 + (-10) + 15 = -15
Step-by-step explanation:
Can you find the solution to the following system of linear equations. −4x+14y=−16 x−7/2y=4
Answer:
Infinitely many solutions.
Step-by-step explanation:
-4x+14y=-16
x-7/2y=4
------------------
-4x+14y=-16
4(x-7/2y)=4(4)
----------------------
-4x+14y=-16
4x-14y=16
---------------------
Infinitely many solutions
7 5/6 ÷ 2 2/3=
Need to know steps to get answer.
Answer:
47/16
Step-by-step explanation:
7 5/6=47/6
2 2/3=8/3
-----------------
(47/6)/(8/3)=(47/6)(3/8)=(47/2)(1/8)=47/16
rita finished her chemistry assignment in 7/8 hours. Then she completed her math assignment in 1/4 hours. How much more time did rita spend on her chemistry assignment
Answer:
Rita spend [tex]\frac{5}{8}[/tex] of hour more on her chemistry assignment.
Step-by-step explanation:
Fraction of an hour Rita spent on chemistry assignment = [tex]\frac{7}{8}[/tex]
Fraction of an hour Rita spent on math assignment = [tex]\frac{1}{4}[/tex]
∴ Fraction of hour Rita spent more on her chemistry assignment than math assignment
⇒ [tex]\frac{7}{8}-\frac{1}{4}[/tex]
To subtract fractions we take LCD for 4 and 8. Since 8 is the least common multiple for 4 and 8 so, we take LCD= 8
To make the denominators same we need to multiply numerator and denominator of second fraction with 2.
⇒ [tex]\frac{7}{8}-\frac{1\times2}{4\times2}[/tex]
⇒ [tex]\frac{7}{8}-\frac{2}{8}[/tex]
After making the denominators common, we simply subtract numerators.
⇒ [tex]\frac{7-2}{8}[/tex]
⇒ [tex]\frac{5}{8}[/tex]
Therefore, Rita spend [tex]\frac{5}{8}[/tex] of hour more on her chemistry assignment.
If (-1, y) lies on the graph of y = 22x, then y =
Answer:
y=-22
Step-by-step explanation:
y=22x at (-1, y)
y=22(-1)=-22
Answer:
y=-4
Step-by-step explanation:
0.5 to the power of x equals 128. Find x
The value of x, that solves the equation 0.5 to the power of x equals 128, is approximately -7. This is found first by rearranging the equation into the logarithmic form, then using the change of base formula to solve for x.
Explanation:The question is asking to solve the equation 0.5 to the power of x equals 128 for the value of x. In order to solve this, we can use the properties of logarithms. Firstly, re-write the equation in log form as log (base 0.5) 128 = x.
We can use the change of base formula which is logba = logca / logcb, where c can be any positive value different than 1 (usually we use 10 or e). If we apply this to our formula it becomes: x = log 128 / log 0.5.
By calculation, x is approximated to -7. This means that when you raise 0.5 to the power of -7, you will get 128.
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Last year, Ariq made a 6-1 cup servings of soup for a party this year he will make 8 times the amount of soup that he made last year how many gallons of soup will he make this year?
Answer:
3 gallons
Step-by-step explanation:
Last year, Ariq made a 6 1-cup servings of soup for a party.
This year he will make 8 times the amount of soup that he made last year, so he will make
[tex]8\cdot 6=48[/tex] 1-cup servings of soup.
In total, 48 cups of soup.
Note that
1 gallon = 16 cups,
then
48 cups is equal to
[tex]48 :16=3[/tex] gallons
Answer:
The number of gallons of soup will he make this year is 3 gallons
Explanation:
No of 1 cup servings made by Ariq last year = 6
Suppose last year he made x 1 cup servings
Hence this year he will make 8x, 1 cup servings
Since last year he made 6, 1 cup serving
Therefore
This year 8x, 1 cup servings
= 8×6
=48, 1 cup servings
Now
1 gallon of soup=16 cups
Therefore
48 cup servings will be
=[tex]\frac{48}{16}[/tex]= 3 gallons
The number of gallons of soup will he make this year is 3 gallons
put the numbers in order from least to greatest -1/4,6/10".625,-.5
Answer:
-0.5, -0.25, 0.6, 0.625
Step-by-step explanation:
-1/4=-0.25
6/10=3/5=0.6
--------------------
use inverse operations to solve equation 15=x/6-1
Answer:
x=90.
Step by step explanation:
To solve the expression [tex]15=\frac{x}{6}-1[/tex], and obtaining a value for x we can do the following:
Add 1 both sides of the equation. This will result in [tex]15+1=\frac{x}{6}-1+1[/tex]⇒[tex]16=\frac{x}{6}[/tex].Multiply both sides by 6, which yields [tex]15\times6=\frac{x}{6}\times6[/tex]. This results in [tex]90=x[/tex].Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation. What are the values a, b, and c in the following quadratic equation? −5x2 − 9x + 12 = 0
A: a = −9, b = 12, c = 0
B: a = −5, b = −9, c = 12
C:a = 5, b = 9, c = 12
D:a = 9, b = 12, c = 0
Answer:
So, the answer is option B: a = −5, b = −9, c = 12
Step-by-step explanation:
The general form of the quadratic Formula is ax² + bx + c = 0
We need to compare the given quadratic equation to the general form
ax² + bx + c = 0
−5x² − 9x + 12 = 0
So, we can deduce that
a = -5 , b = -9 and c = 12
So, the answer is option B: a = −5, b = −9, c = 12
✨Answer✨
B) a = −5, b = −9, c = 12~✨Keep dreaming! ✨~
what is the volume of a brick that is 20.3 cm long, 8.9 cm wide, and 5.7 cm high?
Answer:
1029.819
Step-by-step explanation:
20.3 * 8.9 * 5.7 = 1029.819
Answer: 1,029.819 cm³
Step-by-step explanation: In this problem, we're asked to find the volume of a brick. To find the volume of a brick, we use the formula for the volume of a rectangular prism.
To find the volume of a rectangular prism or a prism whose base is a rectangle, we use the following formula.
Volume = length × width × height
Since the brick has a length of 20.3 centimeters, a width of 8.9 centimeters, and a height of 5.7 centimeters, we can plug this information into the formula.
Volume = (20.3 cm) (8.9 cm) (5.7 cm)
Volume = 1,029.819
Therefore, the volume of the brick is 1,029.819 cm³.
Also, it's important to understand that we can plug any number in for the length width or height as long as it's one of the numbers given and it's not used more than once.
This is because the commutative property of multiplication tells us that changing the order of the factors doesn't change the product.
Evaluate 252.7 - 19.
Answer: 233.7
Step-by-step explanation:
Angel buys 6pumpkins for thanksgiving. He wants to make roasted pumpkin seeds. He realize that each pumpkin has about 756 seeds inside of its cavity. Each member of his family will eat one pumpkin. About how many roasted pumpkin seeds will he have in all?
What do I need to find?
What information do I need to use?
What information do you NOT need to use?
How will I use the information?
Answer:
There are pumpkin 756 seeds in all.
Step-by-step explanation:
Given:
Angel buys 6 pumpkins. Each pumpkin has about 756 seeds inside.
Now, to find total pumpkin seeds we multiply the total number of pumpkin from total number of seeds in each pumpkin has:
There are total 6 pumpkins.
In 1 pumpkin it has 756 seeds.
So, in 6 pumpkins there are = [tex]756\times 6[/tex]
= [tex]4536[/tex].
Therefore, there are pumpkin 756 seeds in all.
The information not needed for this calculation includes the details about sunflower seeds, almonds, sunflower oil, etc., that are irrelevant to the question. The key information to use is the number of pumpkins and the average number of seeds per pumpkin. The total number of roasted pumpkin seeds are 4,536.
Angel has 6 pumpkins, and each pumpkin has about 756 seeds.
Multiply the number of pumpkins by the number of seeds per pumpkin to find the total number of seeds: 6 pumpkins times 756 seeds per pumpkin.
Perform the multiplication to find the total: 6 times 756 = 4,536 seeds.
Alexander is a high school basketball player. In a particular game, he made some two point shots and some three point shots. Alexander scores a total of 14 points and made twice as many two points shots Alexander made and the number of three points shots he made
Answer:
2 three points shots and 4 two points shots
Step-by-step explanation:
Let x be the number of three points shots.
Alexander made twice as many two points shots as three points shots, so the number of two points shots is 2x.
Amount earned in three points shots [tex]=3\cdot x[/tex]
Amount earned in two points shots [tex]=2\cdot (2x)=4x[/tex]
Total score [tex]=3x+4x=7x[/tex]
Alexander scores a total of 14 points, then
[tex]7x=14\\ \\x=2\\ \\2x=2\cdot 2=4[/tex]
How to I solve this by graphing?5x2 + 8x – 13 = 0
To solve the equation by graphing, plot the quadratic function on a graph and determine the x-values where it intersects the x-axis.
Explanation:To solve the equation 5x² + 8x - 13 = 0 by graphing, you can plot the quadratic function on a graph and determine where it intersects the x-axis. The x-values at the points of intersection will be the solutions to the equation.
Write the equation in the form y = 5x² + 8x - 13.Plot the graph of the equation by selecting different values of x and calculating corresponding y-values.Find the x-values where the graph intersects the x-axis. These are the solutions to the equation.The solutions to the equation 5x² + 8x - 13 = 0 can be found by graphing.
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The cost of having a package delivered has a base fee of $9.70. Every pound over 5 lbs cost an additional $0.46 per pound. Write a linear model that represents the cost, C, for the total weight, w, in pounds of the package. Assume 5 lbs.
a.
C = 9.7w + 0.46
c.
C = 0.46w + 9.7
b.
C = 0.46w + 12
d.
C = 0.46(w - 5) + 9.7
Answer is D
Answer:
Option(d)
C = 0.46(w - 5) + 9.7
Explanation:
We are given that the delivery cost of any package has a fixed value of 9.7$ and an additional value for every 5 lbs extra weight and the additional value is given to be 0.46.
The equation for total cost C for given total weight w can be written by
sum of fixed value and every 5 extra lbs
which can be represented by the equation
C= 0.46(w-5) + 97.
Hence, this represents a linear model for the given data.
A bag contains white marbles and red marbles, 20 in total. The number of white
marbles is 5 more than 2 times the number of red marbles. How many white marbles
are there?
Answer:
white marbles
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Let x = number of white marbles and y = number of yellow marbles.
x + y = 57 => x = 57 - y
Also, x = 3 + 5y
Substitute x for y.
57 - y = 3 + 5y => 57 - 3 = 54 = 6y
So, y = 9
Since x (our answer) = 3 + 5 (9),
x = 48.
Check: 48 + 9 = 57 total
The vertex form of f(x)=x^2-6x+5 is f(x)=a(x-h)^2+k. What are the values of a,h, and k?
Answer:
a = 1
h = 3
k = -4
Step-by-step explanation:
To convert this standard form equation to vertex form, use complete the square.
f(x) = x² - 6x + 5
f(x) = (x² - 6x) + 5 <=group ax² and bx, factor out if needed, not in this case.
add and subtract (middle term/2)²
f(x) = (x² - 6x + (6/2)² - (6/2)²) + 5 <=adding and subtracting the same number is like adding 0
f(x) = (x² - 6x + 9 - 9) + 5 <=simplify
f(x) = (x² - 6x + 9) -9 + 5 <=take out the negative constant
f(x) = (x - 3)² - 4 <=perfect square rule in brackets, simplify outside
a = 1 <= Nothing needed to be factored out from ax² and bx.
h = 3 <=If anyone says h = -3, they are wrong. the negative is already in the general equation which says "x-h". It does not say "x+h".
k = -4
on a number line, what is x-4<-3?
Add 4 to both sides
x - 4 < -3
x-4+4 < -3+4
x < 1
To graph this on a number line, plot an open circle at 1 on the number line. Do not fill in the open circle. Shade to the left of the open circle. The shaded region represents all x values smaller than 1.
The graph is shown below.
simplify: (5x+3y)-(2x-7y)+8x
Answer:
11x + 10y
Step-by-step explanation:
(5x + 3y) - (2x - 7y) + 8x
• Remove the parentheses:
5x + 3y - 2x + 7y + 8x
• Collect like terms:
(5x - 2x + 8x) + (3y + 7y)
• Simplify:
11x + 10y
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Leonard it sells small watermelons for seven dollars each and large watermelons for $10 each one day the number of small watermelons he saw was 15 more than the number of large watermelons and he made a total of $394 how many small and how many large watermelons a did he sell?
I really need help with this answer
Answer:
The given two triangles are not congruent.
Step-by-step explanation:
See the diagram of the two triangles attached to this question.
The third angle of the second triangle is [180° - (31° + 124°)] = 180° - 155° = 25°.{Since the other two angles of the triangle are 31° and 124°}
Now, for the first triangle, the values of the adjacent angles of the side with length 6 are 45° and 31°, but for the second triangle, the values of the adjacent angles of the side with length 6 are 25° and 31°.
Therefore, two triangles do not satisfy the Angle=Side-Angle i.e. ASA criteria to become congruent.
So, the given two triangles are not congruent. (Answer)
mr.rogers is buying candy for his class. he'll distribute the candy equally among his 25 scholars, and he wants each scholar to recieve at least 3 pieces of candy. he's also going to keep 5 pieces for himself. write an inequality statenent to represent the least number of candies that mr.rogers can buy
25 scholars × 3 candies = 75 candies
5 candies for himself = 80
Answer: 80 candies
An inequality statement to represent the least number of candies that Mr.Rogers can buy is 80≥x.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Given that, Mr.Rogers distribute the candy equally among his 25 scholars.
Let the total number of candies be x.
Here, inequality is 25×3+5≥x
80≥x
Therefore, an inequality statement to represent the least number of candies that Mr.Rogers can buy is 80≥x.
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There are 12 girls and 8 boys in a class.
What is the ratio of girls to the total students
in the class?
a. 2:3
b. 3:2
C. 2:5
d. 3:5
Students, drew anywhere on this sider
I am pretty positive that it is b...
what is 29 divided by 11
Answer:
2.63
Step-by-step explanation:
29/11=2.63
Answer:
2.64
Step-by-step explanation:
First you Set the problem up like
11/29
then you take
11/29
11x2= 22
29
-
22
=
7
A customer bought a car and paid $1,080 in sales tax.The rate is 6%?
The price of car is $18000
Step-by-step explanation:
Given
Sales tax on car = $1080
Rate = 6%
Let x be the price of the car
We know that as the rate of sale tax is 6%, 6% of x is 1080
Using mathematical notation
0.06x = 1080
Dividing both sides by 0.06
[tex]\frac{0.06x}{0.06} = \frac{1080}{0.06}\\\\x = 18000[/tex]
Hence,
The price of car is $18000
Keywords: Rate of tax, Percentage
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