Answer:
[tex]-2(3x - 4) = -16[/tex] and [tex]20- 15x = 6 - 2(4x + 7)[/tex]
Step-by-step explanation:
Given
[tex]-2(3x - 4) = -16[/tex]
[tex]\frac{1}{2}(10x + 2) = 6[/tex]
[tex]20- 15x = 6 - 2(4x + 7)[/tex]
[tex]\frac{1}{3}(9x - 12) + 6=-10[/tex]
Required
Equations with [tex]x = 4[/tex] as a solution
[tex]-2(3x - 4) = -16[/tex]
Divide both sides by -2
[tex]3x - 4 = 8[/tex]
Add 4 to both sides
[tex]3x - 4 +4= 8+4[/tex]
[tex]3x =12[/tex]
Divide both sides by 3
[tex]x = 4[/tex]
[tex]\frac{1}{2}(10x + 2) = 6[/tex]
Multiply both sides by 2
[tex]10x + 2 = 12[/tex]
Subtract 2 from both sides
[tex]10x + 2 -2= 12-2[/tex]
[tex]10x = 10[/tex]
Divide both sides by 1
[tex]x = 1[/tex]
[tex]20- 15x = 6 - 2(4x + 7)[/tex]
Open bracket
[tex]20 - 15x = 6 - 8x - 14[/tex]
Collect like terms
[tex]8x - 15x = 6 - 14 - 20[/tex]
[tex]-7x = -28[/tex]
Divide both sides by -7
[tex]x = 4[/tex]
[tex]\frac{1}{3}(9x - 12) + 6=-10[/tex]
Subtract 6 from both sides
[tex]\frac{1}{3}(9x - 12) + 6-6=-10-6[/tex]
[tex]\frac{1}{3}(9x - 12) =-16[/tex]
Multiply both sides by 3
[tex]9x - 12 = -48[/tex]
Add 12 to both sides
[tex]9x - 12 +12= -48+12[/tex]
[tex]9x = -36[/tex]
Divide both sides by 4
[tex]x =-4[/tex]
[tex]-2(3x - 4) = -16[/tex] and [tex]20- 15x = 6 - 2(4x + 7)[/tex] have [tex]x = 4[/tex] has a solution
Answer: 1st and 3rd
Step-by-step explanation:
The length of a rectangle can be rpresented by the expression x+6. If the area of the rectangle is 2x^2+8x-24, what is the expression for the width.
Answer:
2(x − 2)
Step-by-step explanation:
The length of a rectangle can be rpresented by the expression x+6. If the area of the rectangle is 2x^2+8x-24, what is the expression for the width.
The formula for the area of a rectangle = Length × Width
Area of the rectangle = 2x² + 8x - 24
Length = x + 6
We can find the width of the rectangle be factoring the Area
Hence, factorising
2x² + 8x - 24
= 2(x − 2)( x + 6)
Therefore, the Width of the rectangle =2(x − 2)
the question is in the picture, please help!!
a. (16/7 , 6/7)
b.(4 , 6/7)
c.( 2 , 6/7)
Answer:
b.(4,6/7)
Step-by-step explanation:
i hope i was able to help with the question
please answer the math question, I will give brainlie'st to the first to answer correctly and has a very easy to understand layout for the answer. Please explain how you figured it out.
15 + 4(10 - 2 · 5) + 7 =
7
22
182
767
Answer: 52
15 + 4 (10 - 2 × 5) + 7
15 + 4×(10 - 10) + 7
15 + 0 + 7
= 22
...sorry i thought it was a decimal between 2 and 5
Answer:
22
Step-by-step explanation:
15+4(10-2×5)+7
15+4(10-10)+7
15+4×0+7
15+0+7
15+7
22
Complete the point-slope equation of the line through (1, -1) and (5,2).
Use exact numbers.
y-(-1) =
I need help
Answer: Y-(-1)= 3/4(x-1)
Step-by-step explanation:
*First find the slope*
y2-y1/x2-x1 ==> 2-(-1)/5-1 ==> 3/4
Point-slope form ==> y-y1=m(x-x1)
y-(-1)=3/4(x-1)
Two angles form a linear pair. The measure of one angle is eight
times greater than the measure of the other angle. Find the measure
of the bigger angle only.
Answer:
160
Step-by-step explanation:
Givens
Let the smaller angle = x
Let the larger angle = 8x
Equation
x + 8x = 180 Combine like terms
Solution
9x = 180 Divide by 9
9x/9 = 180/9
x = 20
Answer
The larger angle = 8 * 20 = 160
solve and graph the inequality below
Answer:
x<15
Step-by-step explanation:
Can someone please help me???????????????????
Answer:
C
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
The equation is d=4t
The slope of this equation would be 4
Every new point on the graph is up 4, right 1
Six pounds of strawberries cost $11.94. Determine the unit rate and use it to find the price of eight pounds of strawberries
what is the slope of the line?
Answer: -2/3
i hope this helps!
Answer:
[tex]\sf -\cfrac{2}{3}[/tex]Step-by-step explanation:
To measure slope, we pick any two points on the line. Then we look at the horizontal and vertical distances between those points.
Going from the point on the left to the point on the right, the change in y is -2 and and the change in x is 3.
[tex]\sf Slope=\cfrac{rise}{run} =\cfrac{-2}{3}[/tex]
[tex]\sf = -\cfrac{2}{3}[/tex]
The slope of the line is -2/3
___________________
Hope this helps!
Have a great day!
Facts about Geometry and Geology?
Step-by-step explanation:
Geometry is in maths
Geology is in geography..
I hope you understand..
You spin the spinner twice,
What is the probability of landing on an 8 and then landing on an 8?
Answer:
The probability of landing on 8 twice is 1/64
Step-by-step explanation:
If you spin the spinner once, there are 8 possibilities each time (1-8). The possibility of landing on the number 8 is 1 of these 8 possibilities. Its probability is therefore 1/8
Each spin is independent. In other words, the spins do not affect each other. The number you land on during the first spin does not impact the second spin's number. The probability of landing on 8 the second time is the same as the first time: 1/8
Because the two events are independent, we find the probability of them both occurring by multiplying them together.
1/8 times 1/8= 1/64
hope this helps:)
plz mark me brainlist
PLZ HELP ILL GIVE U BRAINLIEST XDDD✨
Use Pythagorean Theorem to find the value of x.
Answer:
x=22
Step-by-step explanation:
The answer is x=22.
I had put the answer on comment sorry.
find rational numbers between -3/2 and 5/3
Answer:
Five rational numbers between -5/3 and -8/7 are- Read more on Sarthaks.com - https://www.sarthaks.com/830151/find-five-rational-numbers-between-5-3and-8-7
Step-by-step explanation:
I’ll mark brainliest! Please help!!
Rectangle ABCD has coordinates A(-10,5) B(10,5) C(10,0) and D(-10,0). Rectangle A’B’C’D’ has coordinates A’(-10,-5) B’(10,-5) C’(10,0) and D’(-10,0). Rectangle A’’B’’C’’D’’ has coordinates A”(-2,-1) B”(2,-1) C”(2,0) and D”(-2,0), which transformations describe why rectangles ABCD and A”B”C”D” are similar?
A)) rectangle ABCD was reflected across the X axis and then dilated by a scale factor of 1/5 to form rectangle A”B”C”D
B)) rectangle ABCD was dilated by a scale factor of 5 and then rotated 90 degrees counterclockwise to form rectangle A”B”C”D”
C)) rectangle ABCD was dilated by a scale factor of 1/5 then rotated 90 degrees counterclockwise to form rectangle A”B”C”D”
D)) rectangle ABCD was reflected across the Y-axis and then dilated by a scale factor of 5 to form rectangle A”B”C”D”
Answer:
A
Step-by-step explanation:
I linked a drawing below
Rectangle ABCD-Purple
Rectangle A'B'C'D'- Turquoise/Blue
Rectangle A''B''C''D''- Maroon/Red
36.5% of $40 is what number?
Answer:
Answer: 91.25%
Step-by-step explanation:
Convert fraction (ratio) 36.5
Answer:
$14.6
Step-by-step explanation:
36.5% of 40 = 0.365 × 40 = 14.6
find the distance between (5,2) and (5,38)
Answer:
36
plz mark me as brainliest.
Help will give crown do NOT get this
Answer:
[tex]14x + 36 = 15[/tex]
Step-by-step explanation:
Multiply both sides by LCM which is 18.
[tex]18( \frac{7}{9} )x + 2 )= \frac{5}{6} \times 18[/tex]
[tex]14x + 36 = 15[/tex]
20/3=2(w+2/3)
What’s the value of w
Answer: w=8/3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
20 /3 =2(w+ ( 2 /3 )
20 /3 =(2)(w)+(2)( 2 /3 )(Distribute)
20 /3 =2w+ 4 /3
Step 2: Flip the equation.
2w+ 4 /3 = 20 /3
Subtract 4/3 from each side: 2w+ 4 /3 − 4 /3 = 20 /3 − 4 /3
Divide both sides by 2: 2w/ 2 =16 3 /2
Answer w=8/3
Answer:
w=8/3
Step-by-step explanation:
Melissa is stacking storage cubes in a crate the bottom of the crate is 12 inches x 12 inches. the volume of the crate is 1728 cubic units. if a storage crate s a length of 4 inches how many storage cubes will fit in the crate
CO The town librarian bought a combination of new release movies on DVD for $20 Let x represent the number of new releases, and let y represent the number of of $500 and wanted to purchase as many DVDs as possible, which values of new-release and classic movies bought? 8. y = 45 o 10, y = 22 x = 16 = 22 O 18, y = 18
Answer:
O represents? Is it 0 or O?
what two numbers multiply to 20 and add up to 9
Answer:
4 and 5
Step-by-step explanation:
The solution of the numbers 4 and 5 that gives multiplied by 20 and adds up to 9.
Used the concept of the equation that states,
An equation is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.
Given that,
The multiplication of two numbers is 20.
And, the addition of both numbers is 9.
Let us assume that the numbers are x and y.
Hence the equation for the given conditions,
[tex]x \times y = 20[/tex] ... (i)
[tex]x + y = 9[/tex] ... (ii)
From (ii);
[tex]x = 9 - y[/tex]
Substitute in (i);
[tex](9 - y) \times y = 20[/tex]
[tex]9y - y^2 = 20[/tex]
[tex]y^2 - 9y + 20 = 0[/tex]
[tex]y^2 - (5 + 4)y + 20 = 0[/tex]
[tex]y^2 - 5y - 4y + 20 = 0[/tex]
[tex]y (y - 5) - 4 (y - 5) = 0[/tex]
[tex](y - 5) (y - 4) = 0\\[/tex]
This gives,
[tex]y = 5\\y = 4[/tex]
From (i);
Substitute y = 5;
[tex]x = 9 - 5\\x = 4[/tex]
Substitute y = 4;
[tex]x = 9 - 4\\x = 5[/tex]
Therefore, the numbers are 5 and 4.
To learn more about the equation visit:
brainly.com/question/28871326
#SPJ6
Rob is saving to buy a new MP3 player. For every $16 he earns babysitting, he saves $9. On Saturday, Rob earned $32 babysitting. How much money did he save?
If he earned $32, he saved $____
Answer:
18 dollars
Step-by-step explanation:
32÷16=2
9×2=18
Three dock workers load 240 crates equally onto 8 ships. How many crates are loaded onto each ship?
Answer:
The are 30 crates in each truck
Step-by-step explanation:
8x=240
8x/8=240/8
x=30
Please help will give brainliest
Answer:
A) it wouldn't fit
Step-by-step explanation:
Answer:
its b i did that befroe and it was b
Step-by-step explanation:
Look at the given figure. If the triangles are congruent, give the theorem. If not, select not congruent.
a) SSA
b) SSS
c) SAS
d) Not Congruent
Answer:
SSS.
Step-by-step explanation:
The 3 sides are congruent . The ones that are marked and the middle line which is common to both triangles.
What is the perimiter of a quadrilateral with verticles at (5,2), (10,2), (5,5), and (10,5)
Answer:
55
Step-by-step explanation:
Suppose while at a store, you ask for change for five dollars. You get in return exactly twenty-four coins, all of which are nickels and quarters. How many nickels and quarters did you receive?
Answer: 5 nickels and 19 quarters
Step-by-step explanation:
Let represent the number of nickels and let represent the number of quarters.
From the problem we can write these two equations:
+ = 24; (0.05) + (0.25) = 5.00
Isolate in the first equation: = 24 − .
Substitute 24 − for and solve for :
(24 − )(0.05) + (0.25) = 5.00
24(0.05) − (0.05) + (0.25) = 5.00
1.20 − 0.05 + 0.25 = 5.00
1.20 + 0.20 = 5.00
0.20 = 3.80
= 19
Use = 19 to find :
+ = 24; + 19 = 24; = 5
Answer: 5 nickels, 19 quarters
Hope this helps!
Answer:
19 quarters and 5 nickles
Step-by-step explanation:
19 * .25 = 4.75 .05 * 5 = .25 4.75+.25= 5
someone please help me!
Answer:
x = 13
Explanation
Your new car cost $32,000 but it depreciates in value by about 25% each year. Write an equation that would indicate the value of the car at x years.
A. y = 32000(.25)×
B. y = 32000(1.25)×
C. y = 32000(.75)×
Answer:
C, after 1 year, it has 75 percent of its original value
Step-by-step explanation:
