Answer:
[tex]z = \frac{8}{5}[/tex]
Step-by-step explanation:
Calculate for the value of [tex]z[/tex] :
[tex]2(4z - 1) = 3(z + 2)[/tex]
-Use Distributive Property on both left and right:
[tex]2(4z - 1) = 3(z + 2)[/tex]
[tex]8z - 2 = 3z + 6[/tex]
-Take [tex]3z[/tex] and subtract [tex]8z[/tex] :
[tex]8z - 3z - 2 = 3z - 3z + 6[/tex]
[tex]5z - 2 = 6[/tex]
-Add [tex]2[/tex] to both sides:
[tex]5z - 2 + 2 = 6 + 2[/tex]
[tex]5z = 8[/tex]
-Take [tex]5z[/tex] and divide on both sides:
[tex]\frac{5z}{5} = \frac{8}{5}[/tex]
[tex]z = \frac{8}{5}[/tex]
Therefore, the value of [tex]z[/tex] is [tex]\frac{8}{5}[/tex].
The solution to the given equation is [tex]z = \frac{8}{5} \ or \ 1\frac{3}{5}[/tex]
The given equation is 2( 4z - 1) = 3(z+2).
To solve the given equation means we should determine the value of the variable z.
To solve this, we will first clear the brackets
[tex]2(4z - 1) = 3(z+2)[/tex]
Clearing the brackets
[tex]8z - 2 = 3z + 6[/tex]
Now, collect like terms
[tex]8z - 3z = 6 + 2[/tex]
Then,
[tex]5z = 8[/tex]
Now divide both sides by 5
[tex]\frac{5z}{5} = \frac{8}{5}[/tex]
∴ [tex]z = \frac{8}{5} \ or \ 1\frac{3}{5}[/tex]
Hence, the solution to the given equation is [tex]z = \frac{8}{5} \ or \ 1\frac{3}{5}[/tex]
Learn more here: https://brainly.com/question/24546213
Through; (4,-1), parallel to y=-2/5x+3
Step-by-step explanation:
I'm sorry but what is question? You're just saying a coordinate and a line equation.
6. -n + 7 - 2n + 5n - 3 = -6
Answer:
n = -5
Step-by-step explanation:
Step 1: Write equation
-n + 7 - 2n + 5n - 3 = -6
Step 2: Solve for n
Combine like terms: 2n + 4 = -6
Subtract 4 on both sides: 2n = -10
Divide both sides by 2: n = -5
Simplify: 6-8+7-2-8+13
Answer:
The answer is 8.
Step-by-step explanation:
6-8+7-2-8+13
= (6 +7 + 13) - (8+2+8)
= 26 - 18
= 8
What way of solving systems would you Ik use for these two equations ? X=3 y=2x+1
Answer:
Substitution
Step-by-step explanation:
Subtitue x=3 into the second equation
y=2(3)+1
y=6+1
y=7
I NEED HELP ASAP. BEFORE 4:00
Answer:
The measure of x = 45 degrees
Answer:
x is equal to 50.
Explanation:
The three lines intersect creating a triangle. All angle measures for triangles in Euclidean geometry must have a sum of 180 degrees. Because of the Vertical angles theorem, which states if two angles are opposite they are congruent, this means the angle across from 40 degrees is also 40 degrees. Since we know that the second angle is 90 degrees based on the right angle sign. By adding 40 and 90 you get a sum of 130. Now you subtract 130 from 180. This gives you 50 degrees. Since the Vertical angle theorem states two opposite angles are congruent we know the x is equal to 50 degrees.
What is the perimeter of a rectangle that
has a length of 9 cm and a width of 6
cm?
A. 54 sq. cm B. 54 cm
C. 30 cm
D. 30 sq. cm
Answer:
The answer is option CStep-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
l = 9 cm
w = 6 cm
Substitute the values into the above formula and solve
We have
P = 2(9) + 2(6)
= 18 + 12
We have the final answer as
P = 30 cmHope this helps you
Answer: d.30cm
Step-by-step explanation:
the formula for perimeter is P=2L+2W
Substitute the length and width
P= 2(9)+2(6)
Multiply
P= 18+16
Add
P=30
Add the unit
P= 30cm
How can u tell that 7.360 and 7.36 are equivalent decimals
Answer:
You can tell 7.360 and 7.36 are equivalent decimals because when you put a zero in the decimal places, it doesn't count as a number and it doesn't have a value. In conclusion, zero is just a placeholder. Therefore, if you have the zero or not it doesn't matter.
PLEASE HELP I WILL MARK YOU BRANILIEST
Answer:
A. base: 2.5in Height: 6in area: 7.2in
B. Base: 4.8cm Height: 4cm area: 5cm
Step-by-step explanation:
A bag contains 7 red marbles 4 blue marbles and 5 green marbles. If three marbles are drawn out the bag what is the probability to the nearest 1000th that all three marbles drawn will be green
Answer:
0.063
Step-by-step explanation:
The function g(x) = x2 – 10x + 24 is graphed on a coordinate plane. Where will the function cross the x-axis
Answer:4.0 and 6.0
Step-by-step explanation:
Write an expression that represents the height of a tree that begins at 2 feet and increases by 3
feet per year. Please help
Answer:
2+3x
Step-by-step explanation:
2 is starting height. 3 is multiplier of how much it increases per year. x is the number of years
What type of number is -18
Answer:
a nagitive integer
Step-by-step explanation:
an integer is a whole number
-1=(5+x)/6
Please help me
Answer:
-11
Step-by-step explanation:
Answer:
[tex]x=-11[/tex]
Step-by-step explanation:
[tex]-1=\frac{\left(5+x\right)}{6}[/tex]
Switch sides:
[tex]\frac{\left(5+x\right)}{6}=-1[/tex]
Multiply both sides by 6:
[tex]\frac{6\left(5+x\right)}{6}=6\left(-1\right)[/tex]
[tex]5+x=-6[/tex]
Subtract 5 from both sides:
[tex]5+x-5=-6-5[/tex]
[tex]x=-11[/tex]
Li cut a 6-inch piece of string into pieces that are each ½ of an inch long. How many pieces of string did she cut?
Answer: 12
Step-by-step explanation: 6 times 2 is 12 and she has a 6 inch string and each peace is 1/2 inch long so she would have 12 peaces of string.
Melissa read 4 books each week for 4 weeks. Amanda read 5 books a week for 4 weeks. How many more did Amanda read? Choose the answer that has the correct expression and the correct answer to the question .
Answer:
Amanda read 4 for than Melissa.
Step-by-step explanation:
Amanda read 20 and Melissa read 16. 20-16=4.
Answer:
5 x 4 – 4 x 4; Amanda read 4 more books than Melissa
Step-by-step explanation:
"How many more" means to subtract the products, not add them. Also, do the multiplication first before you subtract.
HELP!!! Please convert y = 1/3x+9 (slope intercept form) to point slope form
Answer:
I hope it will help you...
What unit of measurement would you use to measure out the weight of a feather?
Answer:
grams
Step-by-step explanation:
Students of an elementary school can wear only red or blue shirts. In one class of 28 students, 7 students are wearing blue shirts today and the rest of the students are wearing red shirts. What is the ratio of students wearing blue shirts to students wearing red shirts in that class today? Select each correct answer. Question 1 options: 1:7 7:21 7:28 For every student wearing a blue shirt, there were 3 students wearing red shirts. For every student wearing a blue shirt, there were 4 students wearing red shirts. For every student wearing a blue shirt, there were 7 students wearing red shirts.
Answer:
7:21 For every student wearing a blue shirt, there were 3 students wearing red shirts.
Step-by-step explanation:
If there are 28 students and 7 are wearing blue shirts then the number of students wearing red shirts is 28 - 7 = 21 so 21 students are wearing red shirts.
That means the ratio of blue shirts to red shirts is 7:21
That also means that for every student wearing a blue shirt, 3 were wearing a red shirt.
We get this because 21/7 = 3 and 7/7 = 1
Evaluate 35.2 - 62.71
Answer:
-27.51
Step-by-step explanation:
subtract the two numbers
Please help due tonight being graded very urgent need help please Makayla has 68 customers that she delivers a paper to every morning. She gets paid a flat fee of $8.50 per week plus an additional $0.67 per customer per week. How many weeks does she need to deliver papers to save at least $500 to buy a new tablet? make an equation or inequality and solve. Show your work
ok so 68 customers everything morning times 7 days per week is 476 customer.
now we know that 476 x .67 = $318.92
she make 8.50 per week plus $318.92 from customers
now we have this equation of
500 = 8.5x + 318.92
find x you will know how many weeks she needs.
8.5x = 500 - 318.92
8.5x = 181.08
x = 181.08/ 8.5
x ~~ 21.3 weeks
Answer:
1o weeks
Step-by-step explanation:
As I understand it she get's paid 8.50 per week
8.50x
and 0.67 per customer per week
0.67(68)x since there are 68 customers
it has to be at least 500
[tex]8.5x+0.67(68)x\geq 500\\\\8.5x+45.56x\geq 500\\\\56.06x\geq500\\\\x\geq\frac{500}{56.06} \\\\x\geq 9.24...\\\\x=10[/tex]
Simon is making a poster about friendship in his art class. He divides his poster into 3 equal parts. Simon writes the names of his friends all over each part. Simon uses 1 part for his neighborhood friends and 1 part for his friends from school.
What fraction of the poster does Simon use for his friends from school?
Answer:
1/3
Step-by-step explanation:
The most important thing to remember is that the poster is divided into three equal parts and 1 part of it is for his neighborhood friends and another one part of it is for his friends from school. The denominator would be three and the numerator would be the 1 part he uses for his friends from school.
Write the equation for g(x)
Please answer I need help ASAP
==================================================
Explanation:
We're given that f(x) = x^2
The function g(x) is vertically stretched to be five times taller. We see this with the point (1,5) on the purple graph since its counterpart is at (1,1) on the blue graph.
We look at how the y values changed. So we had gone from y = 1 to y = 5. This jump means "multiply by 5"
If we do this to all the y values on the blue graph, then all the points jump to a height 5 times taller. Something like (2,4) moves to (2,20). Something like (3,9) goes to (3,45). And so on. This is what produces the purple g(x) graph.
You could say that
g(x) = 5*f(x)
g(x) = 5x^2
This works because y = f(x), so when we say 5*f(x), we really mean 5*y.
What is the surface area of a cube of ice that is 64,000 cubic inches as the volume?
The point (-2,-3) is rotated 90 degrees counterclockwise using center (0,0). What are the coordinates.
Answer:
the answer would be (3, -2) hope this helps! :)
Step-by-step explanation:
someone help me find the answer
The coordinates of M ⇒ (-6,0)
N ⇒ (-3,2)
Distance formula ⇒[tex]\sqrt{(x_2-x_1)^2+ (y_2-y_1)^2}[/tex]
Plugging in those values gives us an answer of [tex]\sqrt{13}[/tex]
Let me know if you want to see more work!!!
:)
make q the subject of the formula 2(q+p)=1+5q
Answer:
Step-by-step explanation:
2q + 2p = 1 + 5q
-3q + 2p = 1
-3q = 1 - 2p
3q = 2p - 1
q = (2p -1)/3
A = bh; solve for h
h =
Answer:
The value of h is
h = A/b.
can u solve 0=4(x+5)+8
Answer:
0 = 4x +20 +80=2×(2x +14)0=2x+14=)2x =-14=)x =-7Answer:
x = 7
Step-by-step explanation:
0 = 4(x+5) + 8
expand:
0 = 4x + 4*5 + 8
0 = 4x + 20 + 8
0 = 4x + 28
simplify
4x = 28
simplify
x = 28 / 4
x = 7
15 metres cloth cost Rs 240, if the
price is decreased by 20 %. What will
be the cost of 20 metres cloth?
Answer:
$256
Step-by-step explanation:
240/100*20=48 so then 15m of cloth is $192. To get too 20m you can divide 15 by 3 and then times it by 4. 192/3*4=256. Therefore for 20 metres of cloth it is $256. YAY
Answer:
256
Step-by-step explanation:
What is the range????????