[tex]-5x+6(4x+15)=242\qquad|\text{use distributive property}\\\\-5x+(6)(4x)+(6)(15)=242\\\\-5x+24x+90=242\qquad|\text{subtract 90 from both sides}\\\\19x=152\qquad|\text{divide both sides by 19}\\\\x=8[/tex]
Hello there!
The answer it should be the the last option "x=8".
[tex]-5x+6(4x+15)=242\\[/tex]
Explanation:
↓↓↓↓↓↓↓↓↓↓↓↓
First you had to expand the form.
[tex]6(4x+15):24x+90[/tex]
[tex]-5x+24x+90=242[/tex]
Then you had to add similar by the elements.
[tex]-5x+24x=19x[/tex]
[tex]19x+90=242[/tex]
You had to subtract by 90 from both sides of the equation.
[tex]19x+90-90=242-90[/tex]
Simplify
[tex]19x=152[/tex]
Divide by 19 from both sides of the equation.
[tex]\frac{19x}{19}=\frac{152}{19}[/tex]
Simplify it should be the correct answer.
[tex]x=8[/tex]
Answer⇒⇒⇒⇒x=8
Hope this helps!
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Have a great day!
-Charlie
Which value of x is in the solution set of the inequality -3x+5>17?
-3x + 5 > 17 |subtract 5 from both sides
-3x > 12 |change the signs
3x < -12 |divide both sides by 3
x < -4|-19| - |+17|. I hate math
The absolute value of -19, expressed as |-19|, is +19. That of |+17| is 17. We are thus left with +19 - 17, or 2.
Find the product of (x + 5)(x − 5).
x2 − 10x + 25
x2 + 10x + 25
x2 − 25
x2 + 25
x^2-25 would be your answer
use the FOIL method: First, Outer, Inner, Last.
first: x*x = x^2
outer: x*-5 = -5x
inner: 5*x = 5x
last: 5*-5 = -25
put together: x^2 - 5x + 5x - 25
simplify: x^2 - 25
100 POINTS BRAINLIEST QUESTION ATTACHED
-1 plz mark brainliest
Find 4 on the x-line (the horizontal line).
Find where the red line crosses through that is where the 4 is at.
Once you find it, trace the line in which the 4 is x, and find the y.
The line gives (4, -1)
Find the slope of the line.
(4, -1) = (x₁ , y₁)
(0, 2) = (x₂ , y₂)
slope = (y₂ - y₁)/(x₂ - x₁) = (2 - (-1)/(0 - 4) = 3/-4
y = (-3/4)x + b
Plug in a point, for example (0, 2)
2 = (-3/4)0 + b
Simplify
2 = 0 + b
b = 2
Plug in 2 for b
---------------------------------------------------------------------------------------------------------------------------
f(x) = (-3/4)x + 2 is your equation.
Now, plug in 4 for x (as you are solving for x.
f(x) = (-3/4)(4) + 2
Simplify
f(x) = -3 + 2
f(x) = -1
-1 is your function when x = 4
hope this helps
Need Help Ive been stuck on these for days (Click to Enlarge the Picture)
CF + FE = CE. Since F is the midpoint, then CF = FE, So, CF + CF = CE ⇒ 2CF = CE
Now, set up the proportion:
[tex]\frac{BF}{CF} = \frac{AE}{CE}[/tex]
[tex]\frac{23}{CF} = \frac{5x - 4}{2CF}[/tex] substituted known values
23(2CF) = CF(5x - 4) cross multiplied
23(2) = 5x - 4 divided both sides by CF
46 = 5x - 4 simplified
50 = 5x added 4 to both sides
10 = x divided both sides by 5
Answer: 10
Need help please please
nine less than a number is no more than 8 and is no less than 3
X<17, if i got it correct
Answer:
3 is less than or equal to x-9 is less than or equal to.
3<= x-9<=8
<= these mean less than or equal to.
hope I helped you!
compare partial products and regrouping
Let us first describe how partial product and regrouping are alike:
Partial Products and Regrouping are alike because both methods are multiplied by one number and if the product of the number has 2 digits it can be carried.
Now let us discuss how they are different:
Partial Products and Regrouping are different because Partial Products are doing multiplication step by step and regrouping is regular multiplication.
Hope it helps.
Which system of linear inequalities is graphed?
Answer:
The last ONE!!!
Step-by-step explanation:
In the attachment!
Answer:
y > -3.
5y ≥ -4x -10.
Step-by-step explanation:
Given : Graph.
To find : Which system of linear inequalities is graphed.
Solution: We have given graph with two line one is dotted and other is solid.
Both the line are shaded up.
For dotted line :
We show the line by y = mx + b
Where, m = slope of line and b = y intercept .
The dotted line represent by the greater sign , slope of dotted line is zero and y intercept is -3.
So, equation would be y > 0x - 3.
y > -3.
For solid line : It represented by the greater than equal to sign for solid and shaded up. y intercept of solid line is -2.
Then equation would be 5y ≥ -4x -10.
Therefore, Equation would be y > -3.
5y ≥ -4x -10.
Which function represents exponential decay?
With out any functions to choose from...this is difficult. But look for the equation that has a a decimal raised to a power (.07)^2
Answer:
f(x)=2(2/3)x
Step-by-step explanation:
compared to all of the other answers, 2/3 is the only one between 0-1 for the exponential decay.
In 1999, bus fare in Atlanta was $4.70. In 1979, the fare was 2/5 the fare in 1999. What was the fare in 1999?
Answer:
The fare in 1979 was $1.88.
Step-by-step explanation:
In 1999, bus fare in Atlanta was $4.70.
In 1979, the fare was 2/5 the fare in 1999.
This means the fare in 1979 was 2/5 of $4.70.
This means [tex]\frac{2}{5}\times4.70= 1.88[/tex] dollars
Hence, the fare in 1979 was $1.88.
The table below shows the number of color pages a printer prints out over a period of time
Answer:
The constant of proportionality is 3/2
B is correct.
Step-by-step explanation:
We are given a table of Time (x) and Number of pages (y)
In x minutes printer prints y number of pages.
As we know the it would be direct proportion because if time increase number of printing page increase.
Thus, y=kx
x is time ( independent variable)
y is number of pages (dependent variable)
k is constant of proportionality.
From table we will take the value of x and y and to solve for k
x=2, y=3
3=2k
[tex]k=\dfrac{3}{2}[/tex]
Hence, The constant of proportionality is 3/2
Answer:
Option B) [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
We are given the following information in the question:
A table showing the number of pages printed(y) in time(x).
x: 2 6 8 18
y: 3 9 12 27
We have to find the constant of variation.
Constant of variation
It is the number that relates two variables that are directly proportional or inversely proportional to one another.y = kx, k is the constant of proportionality.Constant of variation =
[tex]\displaystyle\frac{y_2-y_2}{x_2-x_1}\\\\(x_1.y_1), (x_2,y_2)\text{ are the points belonging to the given table.}[/tex]
Putting the values, we get:
[tex]\text{Constant of variaion} = \displaystyle\frac{9-3}{6-2} = \frac{12-9}{8-6} = \frac{27-12}{18-8} = \frac{3}{2}[/tex]
Hence, the constant of variation is [tex]\frac{3}{2}[/tex]
simplify -16+8y+{-3}
-16 + 8y + {-3} =
-16 + 8y - 3 =
8y - 19
One number is 5 more than another. Five times the smaller equals 4 times the larger. Find the numbers
x = 5 + y
4x = 5y
Because we already have a value for x, we can solve for the exact value of y.
4(5 + y) = 5y
Distributive property.
20 + 4y = 5y
Subtract 4y from both sides.
y = 20
Now that we have the exact value of y, we can solve for x.
x = 5 + 20
x = 25
the sum of 10 and a number divide by four is 17.find the number
To find the unknown number, one must solve the equation (10 + x) / 4 = 17, which simplifies to x = 58.
The student has asked to find a number such that when 10 is added to this number and the sum is divided by four, the result is 17. This can be written as an equation: (10 + x) / 4 = 17, where x represents the unknown number. To solve for x, we first multiply both sides of the equation by 4 to get rid of the denominator, resulting in 10 + x = 68. Then, we subtract 10 from both sides to isolate the variable, yielding x = 68 - 10. Therefore, x equals 58.
if 1000 35 year old women were to pay and insurance company $140/month for 20 years , how much money would the insurance company recieve
Find out how much money one woman would pay a year by multiplying $140 and 12 months together like this.
140×12=1680
Next, find out how much she'd be paying for 20 years by multiplying the product by the years like this.
1680×20=33600
Now, to find out how much money all 1000 women are paying for the 20 years, multiply the previous product with the number of women.
33600×1000=3600000
Therefore, all 1000 women would be paying $3,600,000 total during the 20 year time period.
HOPE THIS HELPS!
I need help how the get this answer
it costs a manufacturer $60 per dozen to make a specific sweater and a manufacturer sells 3000 dozen at $100 per dozen
The company makes a $40 profit per dozen sweaters sold. With selling 3000 dozen, they make a total profit of $120,000. Economies of scale are not determinable with the given information.
Explanation:The subject of this question is Business, specifically related to cost, revenue, and profit calculations. In this case, the cost to manufacture a dozen sweaters is $60, and these are sold for $100 per dozen, creating a profit of $40 per dozen. If the manufacturer sells 3000 dozen, the total revenue is the number of items sold times the price, which is 3000 dozen * $100 per dozen = $300,000. The total cost is the number of items made times the cost to manufacture each item, which is 3000 dozen * $60 per dozen = $180,000. Subtracting the total cost from the total revenue gives the total profit, which in this case is $300,000 - $180,000 = $120,000.
Economies of scale, as shown in Figure 7.9, shows how the cost of manufacturing decreases as more items are produced. In this scenario, however, we are not given sufficient information to determine if the sweater manufacturer enjoys economies of scale.
Learn more about Cost, Revenue and Profit here:https://brainly.com/question/32710282
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Help fast plzz 25 points!!! Graph y + 6=4/5 (x+3) using the point and slope given in the equation.
here! y-intercept at -3.6 and x-intercept at 4.5
What is the definition of fact family
A fact family is a group of math facts using the same numbers.
Example:
Using the numbers: 5, and 2,
5 ∙ 2 = 10
2 ∙ 5 = 10
10 ÷ 2 = 5
10 ÷ 5 = 2
A fact family is a set of related math facts using the same numbers to show the relationship between addition and subtraction or multiplication and division.
Definition of a Fact Family
A fact family in mathematics consists of a group of related math facts that use the same set of numbers. Specifically, in the context of addition and subtraction or multiplication and division, fact families demonstrate the relationship between these operations. For example, with the numbers 2, 4, and 6, a fact family would include the following equations: 2 + 4 = 6, 4 + 2 = 6, 6 - 2 = 4, and 6 - 4 = 2. Each pair of arithmetical operations, being related by inverse functions, create the concept of a fact family, illustrating how numbers and operations are interconnected.
Find the modulus of -2-6i
A. 40
B. -40
C. 6.3
D. -6.3
Answer:
Option C. [tex]6.3[/tex]
Step-by-step explanation:
we know that
To find the modulus of a complex number, apply the Pythagoras theorem
Let
c-----> the modulus
[tex]c=\sqrt{(-2)^{2}+(-6)^{2}}[/tex]
[tex]c=\sqrt{4+36}[/tex]
[tex]c=\sqrt{40}=6.3[/tex]
write an integer that represents this situation. (be sure to include + or -).
30 ft. below sea level
PLEASE HELP ASAP
-30 feet
below meaning negative.
the answer would be -30 because its below the sea level if it was positive
it would say above sea level and that would be positive 30
but in this case its -30
question answered by
(jacemorris04)
What is 3y plus 5x=-15 written in slope-intercept form?
To make an equation into slope intercept form, Y must have no coefficient.
So to solve
[tex]3y + 5x = -15\\3y = -5x-15\\y = -\frac{5}{3}x-3[/tex]
Answer:
I think it is Option C
y+5/3x-5Because if you do it then you get it XD
State the quadratic formula.
In the Quadratic Formula, the expression underneath the radical symbol determines the number and type of solutions the formula will reveal. This expression, b2 – 4ac, is called the discriminant of the equation ax2 + bx + c = 0.
if you mean this, then [tex]ax^{2} + bx + cx = 0[/tex]
if you mean this, then [tex]x = \frac{-b±\sqrt{b^{2} - 4 (a) (c) } }{2(a)}[/tex] *ignore the a thingy in between the -b and ±
hope this helps! ❤ from peachimin
What is the quotient of 1180 and 5
That would be 236. Quotient means divide the numbers from one another.
Hope I could help! :)
Answer,
1,180/5 = 235
Hope this helps :-)
how do u calculate these numbers from least to greatest 1.98, 0.23, 0, 1.89, 1 3/ 5, 1.02, 3/2?
Answer:
0 - 0.23 - 1.02 - 3/2 - 1.89 - 1.98 - 13/5
Step-by-step explanation:
We have to put the number in an increasin order:
0 - 0.23 - 1.02 - 3/2 - 1.89 - 1.98 - 13/5 or
0 - 0.23 - 1.02 - 1.5 - 1.89 - 1.98 - 2.6
Write the answer in scientific notation (5.4 × 10 to the power of 8) (3.2 × 10 to the power of 6)
Answer:
1,728 × 10 to power twelve
Step-by-step explanation:
(5.4 × 100000000)(3.2×1000000)
(540,000,000)(3,200,000)
1,728,000,000,000,000
1,728 × 10 to power twelve
can't seem to answer this simple math problem
x + 4x = 5x
90/5 = 18
x = 18
4x = 72
Please Help. I'll give you BRAINLIEST.
Stan, Liam, and Louise are competing in a cooking competition. They all used different amounts of flour from a can containing 5 pounds of flour.
Stan used 12% of the total flour in the can.
Liam used 0.11 of the total flour in the can.
Louise used 0.7 pound of the total flour in the can.
Who used the greatest amount of flour from the can? Show your work and explain your answer in words.
Answer:
Louise used the most flour.
Step-by-step explanation:
Okay so first off 12% of 5 pounds would be 0.6 pounds. So we can put that Stan used 0.6 pounds. Then 0.11 of the total flour would be the same as 11% of 5 pounds, which is 0.55 pounds. So Liam used 0.55 pounds. We already know that Louise used 0.7 pounds of flour so we can order it like this.
Louise=0.7 Pounds
Stan=0.6 Pounds
Liam=0.55 Pounds
Answer:
Louise used the most flour.
Louise = 00.70 Pounds
Stan = 00.60 Pounds
Liam = 00.55 Pounds
PLZ GIVE BRAINLYEST!!!
How do the images help express one way technology has changed modern protest in China?
Where are the images?