Answer:
k=−15
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(3k−10)+1=8( 3 /2 k+2)
(3)(3k)+(3)(−10)+1=(8)( 3 /2 k)+(8)(2)(Distribute)
9k+−30+1=12k+16
(9k)+(−30+1)=12k+16(Combine Like Terms)
9k+−29=12k+16
9k−29=12k+16
Step 2: Subtract 12k from both sides.
9k−29−12k=12k+16−12k
−3k−29=16
Step 3: Add 29 to both sides.
−3k−29+29=16+29
−3k=45
Step 4: Divide both sides by -3.
−3k /−3 = 45 /−3
k=−15
Which statements are true about triangle ABC and its translated image, A'B'C'? Select two options.
> The rule for the translation can be written as T–5, 3(x, y).
>The rule for the translation can be written as T3, –5(x, y).
>The rule for the translation can be written as
(x, y) → (x + 3, y – 3).
>The rule for the translation can be written as
(x, y) → (x – 3, y – 3).
>Triangle ABC has been translated 3 units to the right and 5 units down.
Answer:
Option (2) and Option (5)
Step-by-step explanation:
Blue triangle ABC has been translated to form the image triangle A'B'C' (in red).
Let take a point A of ΔABC,
Coordinates of point A → (-1, 3)
Coordinates of point A' → (2, -2)
Rule for the translation will be,
A(-1, 3) → A'(2, -2)
A(-1, 3) → A'(-1 + 3, 3 - 5)
A(x, y) → A'(x + 3, y - 5)
[tex]T_{3, -5}(x, y)[/tex]
ΔABC has been translated 3 units to the right and 5 units down.
Therefore, Option (2) and Option (5) will be the correct options.
Answer:
B and E
Step-by-step explanation:
Suppose you want to prove the converse of the Pythagorean Theorem by drawing two triangles. If
one of the triangles has side lengths of m, n, and p, such that m² + n2 = pº what should
be the lengths of the sides that form a 90-degree angle in the second triangle?
А
m and n
B
m and p
С
n and p
D
p and p
Answer:
a
Step-by-step explanation:
The sides of the right angle that form 90° will be 'm' and 'n'. Then the correct option is A.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
"In the event that the square of a side is equivalent to the amount of the square of the other different sides, then triangle should be correct point triangle".
The Pythagoras theorem formula is given as
H² = P² + B²
Assume you need to demonstrate the opposite of the Pythagorean Hypothesis by drawing two triangles.
If one of the triangles has side lengths of m, n, and p, such that m² + n² = p².
Then the sides of the right angle form 90° will be 'm' and 'n'. Then the correct option is A.
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
#SPJ2
A construction company bought 5/6 of a pound of sand and mixed it with 2 2/3 pounds of cement. A construction worker used 1 1/3 pounds of the mixture. How much of the mixture is left?
Help me please! I also need proof you are right in the explanation!
Plz help. Write an equation of the line
y=mx+b format
Three friends said their heights were 5 and start fraction 13 over 30 end fraction feet, 5 and one-sixth feet, and 5 and start fraction 68 over 90 end fraction feet. Put the heights of the friends in order from least to greatest. A. 5 and start fraction 68 over 90 end fraction < 5 and start fraction 13 over 30 end fraction < 5 and one-sixth B. 5 and start fraction 13 over 30 end fraction <5 and one-sixth <5 and start fraction 68 over 90 end fraction C. 5 and one-sixth <5 and start fraction 68 over 90 end fraction < 5 and start fraction 13 over 30 end fraction D. 5 and one-sixth <5 and start fraction 13 over 30 end fraction< 5 and start fraction 68 over 90 end fraction
Answer:
[tex]5\frac{1}{6} < 5\frac{13}{30} < 5\frac{68}{90}[/tex]
Step-by-step explanation:
Represent the friends with A, B and C
[tex]A = 5\frac{13}{30}[/tex]
[tex]B = 5\frac{1}{6}[/tex]
[tex]C = 5\frac{68}{90}[/tex]
Required
Order from least to highest
First, we convert the given parameters to decimal
[tex]A = 5\frac{13}{30}[/tex]
[tex]A = 5 + \frac{13}{30}[/tex]
[tex]A = 5 + 0.43[/tex]
[tex]A = 5.43[/tex]
[tex]B = 5\frac{1}{6}[/tex]
[tex]B = 5 + \frac{1}{6}[/tex]
[tex]B = 5 + 0.17[/tex]
[tex]B = 5.17[/tex]
[tex]C = 5\frac{68}{90}[/tex]
[tex]C = 5 + \frac{68}{90}[/tex]
[tex]C = 5 + 0.76[/tex]
[tex]C = 5.76[/tex]
So, we have:
[tex]A = 5.43[/tex] [tex]B = 5.17[/tex] [tex]C = 5.76[/tex]
Order from least to greatest
[tex]B = 5.17[/tex] [tex]A = 5.43[/tex] [tex]C = 5.76[/tex]
Replace them with the original values
[tex]B = 5\frac{1}{6}[/tex] [tex]A = 5\frac{13}{30}[/tex] [tex]C = 5\frac{68}{90}[/tex]
Hence, the correct order is:
[tex]5\frac{1}{6} < 5\frac{13}{30} < 5\frac{68}{90}[/tex]
Answer:
The answer is 5235 5521 2356
Step-by-step explanation:
Explain the difference in meaning between 10 x 4 + 5 and 10 x (4 + 5)
Answer:
10x4+5
40+5
45
10x(4+5)
10x(9)
90
Step-by-step explanation:
Answer:
-
Step-by-step explanation:
10 x 4 + 5 means that you multiply first, then add as per PEMDAS
10 x (4 +5) means that you add first, then multiply.
Write the equation of a line with a slope of 3 and a y-intercept of 4. Do not use spaces in your response
Answer:
y=3x+4
Step-by-step explanation:
it's in slope intercept form
pretty easy! help pls!
Answer:
ok C
Step-by-step explanation:
2+2=FISH????????????? XD
Answer:
correct answer is 4 fish
Step-by-step explanation:
4 is the perfect number
Answer:
Yes
Step-by-step explanation:
Here is an ugly drawing of it......
PLEASE HELP 20 PTS i need it quick!
Answer:
B. 6 + 0.2x
Step-by-step explanation:
One fifth = 1/5 = 0.2One fifth of x = 0.2xSum of 6 and one fifth of x = 6 + 0.2xI hope this helps!
Answer:
I think it is C
Step-by-step explanation:
if I am wrong I am soooo sorry
6 ( − 2.1 x − 2 ) + ( 7 x + 5 )
Answer: −5.6x −7
Step-by-step explanation:
what is 10/3 divided by 2/3
Answer:5
Step-by-step explanation:
Solve 126 = 14x
*Only enter the number for what x = in the box*
Answer:
x = 9
Step-by-step explanation:
divide both sides by 14
Answer: x = 9.
Step-by-step explanation: Step 1: Flip the equation.
14x=126
Step 2: Divide both sides by 14.
14x /14
=
126 /14
x=9
Given f(x)=2^x and g(x)=f(x-3)+4, write the new function rule (equation) for function g and describe (using words*) the two transformations that occur between function f and function g.
Answer:
The first thing we do is find out what f(x-3) is[tex]f(x)=2^x\\f(x-3)=2^{x-3}[/tex] this is can be simplified using the rules of exponents[tex]f(x-3)=2^{x-3}\\f(x-3)=2^x\div2^3\\f(x-3)=\frac{2^{x}}{8}[/tex] Then we put that into g(x) [tex]g(x)=f(x-3)+4\\g(x)=\frac{2^{x}}{8}+4[/tex] The first transformation is at f(x), where it is divided by 8, and then inserted into g(x) which increases the new transformed f(x) by 48.16, 0.96, 8.24, 8.123 in order
Answer:
0.96, 8.123 ,8.16, 8.24
Step-by-step explanation:
Let’s say you go to the store and you want to buy cheese and you find out for 1 pound it’s $3.10 and you buy 2.3 pounds. What is the cost?
how to find 18% of 3000
Answer:
the answer is 540
Step-by-step explanation:
Hope this helps, have a good day
in the diagram <4 = <40 °. Find the measure of <3 = (?)°
Answer:
∠3=140°
Step-by-step explanation:
∠4 = 40°
∠3 + ∠4 = 180° (co-exterior angles are equal)
∠3 + 40° = 180°
∠3 = 180° - 40°
∠3 = 140°
[tex]or^{}[/tex]
∠2 = ∠4 = 40° (corresponding angles)
∠3 + ∠2 = 180° (linear pair)
∠3 + 40° = 180°
∠3 = 180° - 40°
∠3 = 140°
hope you understood
Given the function f(x) = x^2, which of the following represents a vertical shift of 3 units up?
9514 1404 393
Answer:
f(x) = x² +3
Step-by-step explanation:
The transformation
g(x) = a·f((x -c)/b) +d
represents a vertical expansion by a factor of 'a', a horizontal expansion by a factor of 'b' (before the horizontal shift), a horizontal (right) shift by 'c' units, and an upward shift by 'd' units.
You want only an upward shift of 3, so ...
g(x) = f(x) +3
For f(x) = x^2, the shifted function is ...
f(x) = x^2 +3
__
Other choices are ...
b. (x -3)^2 = right shift by 3
c. 3x^2 = vertical expansion by a factor of 3
d. (x +3)^2 = left shift by 3
The local newspaper has letters to the editor from 80 people. If this number represents 4percent of the newspaper's readers, how many does the newspaper have?
Answer:
2000 newspaper readers
Step-by-step explanation:
Let the total number did newspaper readers the local news paper has be represented by x
Therefore,
4% of x = 80 people
Hence,
4/100 × x = 80
4x/100 = 80
Cross Multiply
4x = 100 × 80
4x = 8000
x = 8000/4
x = 2000 people
Therefore, the number of people the newspaper has is 2000 newspaper readers
Amaya is reviewing her checking account statement from the bank. Her starting balance and transactions are listed.
Starting balance of $97.13
Spent $63.27 at Food Lion
Deposit from work of $415.80
Lunch at Tropical Smoothie for $12.85
Withdrawal of cash at the ATM of $60.00
If reconciled, her bank statement and personal records should have current balance of $
Answer:
376.81
Step-by-step explanation: 376.81
Rewrite the equation in Ax+By=C form. Use integers for A, B, and C. y=1/5x-6
Answer:
C I think
Step-by-step explanation:
If y = -5x - 8, choose all the solutions.
Triangle MNO is dilated using a scale factor of 3 with the origin as the center of dilation.
What are the coordinates of point N in the dilated image?
A. (7,9)
B. (9,7)
C. (12, 18)
D. (18,12)
Answer: a
Step-by-step explanation:
I say a because I know it’s a
Jose earns $3680 per month, of which 22% is taken out of his paycheck for federal and state income taxes and other required deductions. Last month he spent $755 for rent and $86.12 for clothing. What percent of his take-home pay did he spend on rent and clothing combined?
Answer:
29.30%
Step-by-step explanation:
Total Monthly earnings of Jose = $3680
22% is paid for federal and state income taxes and other deductions.
Take-home salary for Jose is total earnings minus the taxes and deductions.
Take-home salary = $3680 - 22% of $3680
Take-home salary = $3680 - $809.6 = $2870.4
Money spent on rent = $755
Money spent on clothing = $86.12
Money spent on rent and clothing combined = $841.12
Percentage of a quantity is given as the quantity divided by the total quantity multiplied with 100.
Therefore,
Percentage of take-home pay spent on rent and clothing:
[tex]\dfrac{841.12}{2870.4}\times 100 = \bold{29.30\%}[/tex]
Four friends go to the movies.Each movie ticket costs $8.They buy 2 tubs of popcorn for $6 each.They also buy a box of candy to share for $4.They friends want to split the total cost evenly.How much does each friend owe?
Answer:
$ 4 i believe
Step-by-step explanation:
Answer:
Each friend owes 12 Dollars
Step-by-step explanation:
After adding all the cost up, the total cost was 48. And 48 divided by four is 12.
Without graphing, determine whether the function represents exponential growth or exponential decay. Then find the y-intercept.
A. Exponential growth; 4
B. Exponential decay; 4
C. Exponential growth; 0
D. Exponential decay; 5
I will give brainliest to the correct answer!
Answer:
Exponential decay; 4
Step-by-step explanation:
This represents exponential decay, because the number which is being raised to the power x is less than one. This means that as x increases, y decreases.
The y-intercept occurs when x is equal to zero. When x = 0, we have [tex]y = 4(5/6)^0 = 4(1) = 4[/tex], so the y-intercept is 4.
Answer:
Now you can give the other person brainliest
the slope of the line whose equation is x+y=6
5. Find the value of x. *
2 points
95
150
470
250
70
85
Answer:
Looking for an answer for this one
Step-by-step explanation:
On roller-skates, Ian can travel 3/4 of a mile in 5 minutes. On his bike, he can travel 3 1/2 miles in 12 minutes. How fast, in miles per hour, can Ian travel on roller skates and on his bike?
Answer:
Roller skates speed = 9 miles per hour
Bike speed = 17.5 miles per hour
Step-by-step explanation:
On roller-skates, Ian can travel 3/4 of a mile in 5 minutes.
Speed = Distance(miles)/Time(hours)
Convert 5 minutes to hour
60 minutes = 1 hour
5 minutes = 5/60
= 1/12 hour
Hence, his speed =
3/4mile ÷ 1/12
= 3/4 × 12/1
= 9 miles per hour
On his bike, he can travel 3 1/2 miles in 12 minutes.
Convert 12 minutes to hour
60 minutes = 1 hour
12 minutes = 12/60 = 1/5
Hence, his speed =
3 1/2 mile ÷ 1/5
= 7/2 ÷ 1/5
= 7/2 × 5/1
= 35/2 miles per hour
= 17.5 miles per hour