Steps
38 + 7k = 8k + 32
38 + 7k - 38 = 8k + 32 - 38
7k = 8k - 6
7k - 8k = 8k - 6 - 8k
-k = -6
-k/-1 = -6/-1
k = 6
Answer
k = 6
Destiny and Franijza are at the swimming pool. They decide to walk to the ice cream shop. They walk north at a pace of 6 km/h * r for 20 minutes, and then east at the same pace for 10 minutes. If the swimming pool is at the origin (0, 0) what is the position of the ice cream shop?
Answer:
(1,2)
Step-by-step explanation:
6 km/h going north for 20 mins would be 1/3 of an hour so 1/3 of 6. This would mean they walked 2 kilometers north. That's your y-coordinate. They walked 6 kilometers an hour going east for 10 mins. 10 mins is 1/6 of an hour and 1 is 1/6 of 6. So 1 is your x-coordinate. You put the numbers in as (x, y).
If the swimming pool is at the origin (0, 0) then the position of the ice cream shop is (1,2) and this can be determined by using the unitary method and also by using the formula of speed.
Given :
Destiny and Franijza are at the swimming pool. They decide to walk to the ice cream shop. They walk north at a pace of 6 km/h for 20 minutes, and then east at the same pace for 10 minutes.The following steps can be used in order to determine the position of the ice cream shop:
Step 1 - Remember 1 hour is equal to 60 minutes.
Step 2 - If one hour is equal to 60 minutes then in 20 minutes there are:
[tex]\rm \dfrac{20}{60}=\dfrac{1}{3}\;hour[/tex]
Step 3 - If one hour is equal to 60 minutes then in 10 minutes there are:
[tex]\rm \dfrac{10}{60}=\dfrac{1}{6}\;hour[/tex]
Step 4 - Determine the distance travel in the north which gives the y-coordinate.
[tex]\rm Distance = 6\times \dfrac{1}{3}=2\;Km[/tex]
Step 5 - Determine the distance travel in the east which gives the x-coordinate.
[tex]\rm Distance = 6\times \dfrac{1}{6}=1\;Km[/tex]
So, the position of the ice cream shop is (1,2).
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11
W20
A ice cream cone cost $3 plus an additional $0.50 per scoop. James pald a total of $4.50, which equation below
models this situation.
4.50 + 0.50x = 3
0.50x + 3 = 4.50
0.50x = 7.50
3x + 0.50 = 4.50
Answer:
B: 0.50x + 3 = 4.50
Step-by-step explanation:
James needed an additional 3 scoops so the x would have to be on $0.50. the $3 is what the cone cost so it has to be with the scoop price. $4.50 is the total price of the ice cream so that would be on the other side of the equal sign, resulting in 0.50x + 3 = 4.50
Select from the drop-down menus to correctly complete the statements about the expression a8+6b .
The expression a8+6b is a
A. Sum
B. Difference
. The term a8 is an added, but it is also a
A. quotient
B. Difference
. The term 6b is an added, but it is also a
A. Sum
B. Product
Expressions are used to show relationships between variables and constants
The expression [tex]\mathbf{\frac a8 + 6b}[/tex] is a sumThe term [tex]\mathbf{\frac a8}[/tex] is a quotientThe term 6b is a product.The expression is given as:
[tex]\mathbf{\frac a8 + 6b}[/tex]
In the above expression, a/8 and 6b are added.
So, the expression [tex]\mathbf{\frac a8 + 6b}[/tex] is a sum
In [tex]\mathbf{\frac a8 }[/tex], a is divided by 8.
So, the term [tex]\mathbf{\frac a8}[/tex] is a quotient
Lastly, in 6b; 6 is multiplied by b.
So, the term 6b is a product.
Read more about expressions at:
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If two angles add up to 180 how many angles are there?
Answer:
Step-by-step explanation:
According to Supplementary Angles rules: two angles add up to 180
√45 * √96
Please show your work on how you got the answer!
Answer:
45=6.7, 96=9.79
Step-by-step explanation:
because (6.7)6.7 =45 that’s how square root works… squared means two times a number
Convert -18° to radians
Answer:
−
π
10
radians
Step-by-step explanation:
To convert degrees to radians you multiply by π180° π 180 ° since a full circle is 360° or 2π radians.
PLEASE HELP THANK YOU
Answer:
a. [tex]4^2[/tex]
b. 16
Step-by-step explanation:
The area of a square is equal to the side length squared. Normally, the area of a rectangle is length times width but since all sides are equal in a square it is just the side times the side. This can be simplified to side length squared.
Since the side length is 4 the exponent form of the area is simply 4 squared or [tex]4^2[/tex].
Then, compute this by multiplying 4*4. This equals 16 cms square.
Can anyone answer with an explanation?
Answer:
x=0.136
Step-by-step explanation:
4x^3-6x^2+16x-6=0
64x-36x+16x-6=0
28x+16x-6=0
44x-6=0
+6 +6
44x= -6
/44 /44
x=0.136
Evaluating
100 points worth is it worth it. Also giving out brainliest to the right or closest right answer.
Answer:
C
Step-by-step explanation:
8x2= 16
8x3 = 24
24+16 =40
40/4 = 10
10-8 = 2
3(t-4v+8) whats the awnser to this
Answer:
3t-12v+24
Step-by-step explanation:
3t+3x-4v+3x8
simplify
3t-12v+3x8
simplify
3t-12v+24
7/1 − 3 ( 7/3n − 7/2 )
Answer:
[tex]\frac{35}{2}[/tex] - [tex]7n[/tex]
Step-by-step explanation:
7/1 − 3( 7/3n − 7/2 )
Anything divided by one gives itself.
7 - 3 ( [tex]\frac{7}{3}n - \frac{7}{2}[/tex])
Use the distributive property to multiply −3 by [tex]\frac{7}{3}n - \frac{7}{2}[/tex])
7 - 3 × ([tex]\frac{7}{3}[/tex][tex]n[/tex] - 3 (-[tex]\frac{7}{2}[/tex])
Multiply −3 times [tex]\frac{7}{3}[/tex]
7 - 7n - 3 (-[tex]\frac{7}{2}[/tex])
Express -3 (-[tex]\frac{7}{2}[/tex]) as a single fraction.
7 - 7n + [tex]\frac{-3(-7)}{2}[/tex]
Multiply −3 and −7 to get 21.
7 - 7n + [tex]\frac{21}{2}[/tex]
Convert 7 to fraction [tex]\frac{14}{2}[/tex]
[tex]\frac{14}{2}[/tex] - 7n + [tex]\frac{21}{2}[/tex]
Since [tex]\frac{14}{2}[/tex] and [tex]\frac{21}{2}[/tex] have the same denominator, add them by adding their numerators.
[tex]\frac{14 + 21}{2} - 7n[/tex]
Add 14 and 21 to get 35.
[tex]\frac{35}{2} - 7n[/tex]
Solve equations with variables on each side
3w+6=4w
a+18=7a
8c=5c+21
Answer:
a) w=6
b) a=3
c) c=7
Step-by-step explanation:
[tex]3w+6=4w[/tex]
[tex]\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}[/tex]
[tex]3w+6-6=4w-6[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]3w=4w-6[/tex]
[tex]\mathrm{Subtract\:}4w\mathrm{\:from\:both\:sides}[/tex]
[tex]3w-4w=4w-6-4w[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-w=-6[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-1[/tex]
[tex]\frac{-w}{-1}=\frac{-6}{-1}[/tex]
[tex]w=6[/tex]
___________________________________________
[tex]a+18=7a[/tex]
[tex]\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}[/tex]
[tex]a+18-18=7a-18[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]a=7a-18[/tex]
[tex]\mathrm{Subtract\:}7a\mathrm{\:from\:both\:sides}[/tex]
[tex]a-7a=7a-18-7a[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-6a=-18[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-6[/tex]
[tex]\frac{-6a}{-6}=\frac{-18}{-6}[/tex]
[tex]a=3[/tex]
Find the perimeter of this semi-circle with the radius, r= 11 cm.
Give your answer rounded to 1DP.
Answer:
56.6 cm is the answer
use formula 1/2 πD+ D
Write the equation of each line in slope-int. Form
y=mx + b
3. Slope = -2 and y-int. = -6
I
Answer:
y=-2x-6
Step-by-step explanation:
You put the slope before the x and the y intercept goes at the end.
A house costs $150,000. If a loan is taken out for 15 years and the interest paid is $101,250, what is the interest rate on the loan?
A.4.5%
B.5.25%
C.5.75%
D.6.5%
Answer:
A. 4.5%
Step-by-step explanation:
if it takes 40 gallons of gas to drive 750 miles, then how many gallons are needed to drive 300 miles?
Which number is a perfect square? 68 145 169 56
Answer:
169 I think?
Step-by-step explanation:
if you look at images of number rows 169 is the only one in it with the others
answeeeeerrrr plzzzzzzzzzz
Answer:
30
Step-by-step explanation:
(3×30+15) = 105
uses the alternate exterior angles theorem
What is the solution to this equation?
7- 3√2-x=12
The value of x is -(5 + 3√2).
what is equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
7- 3√2-x=12
Now solving
7- 3√2-x=12
Subtract 7 from both side
7- 3√2-x - 7 =12 - 7
- 3√2-x = 5
Now, add 3√2 both side
-3√2 -x + 3√2 = 5 + 3√2
-x= 5 + 3√2
x= -(5 + 3√2)
Hence, the value x is -(5 + 3√2).
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Robert started working at a local burger restaurant and earns $9.00 per hour. Which graph shows the relationship between his earnings and the number of hours he worked?
Answer:
A.
Explanation:
Answer:
A
Step-by-step explanation:
Graph A would be the graph the shows the relationship between his earnings and the number of hours he worked, because after 1 hour of work he would have made 9$ (1,9), after 2 hours he would have made 18$ (2,18), and after 3 hours of work he would have made 27$ (3,27). All these are placed on the graph. Hope this helps!
Write an inequality represented by the graph
Answer:
x+y>=3
Step-by-step explanation:
values of x and y are all greater than or equal to 3
Which expression is equivalent to 27x3 + 125?
-)
A)
(3x - 5)(9x2 – 15x + 25)
B)
(3x - 5)(9x2 + 15x – 25)
0
(3x + 5)(9x2 - 15x + 25)
D)
(3x + 5)(9x2 + 15x – 25)
I need help solving this please
Answer:
your answer would be C hope it helps
A scale drawing of an office space uses a scale of 1 in. : 6 yd. The scale drawing has an area of 4 square inches. What is the area of the actual office space?
Answer:
30
Step-by-step explanation:
The scale is 1 in : 6 yd. the drawing was 5 inches. Multiply the drawing measurement (5) times the yards cause that’s the measurement you want and you get 30 yards.
G(x)=4x^2+9x ; find g(3x)
Answer:
12xto the 3 + 27x squared
How can you model geometry figures to solve real-world problems? Complete the explanation to answer the question. You can use drawings to plan rooms or gardens since the (Ratio/Dimension/scale) of the drawing is a (Ratio/Dimension/scale) between 2 sets of measurements. It shows how each (Ratio/Dimension/scale) in a drawing relates to the actual object.
the ratio Dimensions are in other Dimensions buuut you have to watch
out for the 7 cat walks because you really wont see them in till you die from it
40 points and brainlyest to who ever answers this for me- please someone help me
Answer:
9) A
10) B
11) A
12) D
13) C
14) A
15) C
16) D
17) E (not sure, can't see full choice)
18) B
19) C
Explanation:
Hope this is what you're looking for friend :)
Find two consecutive numbers whose squares differ by 11.
Please help! I will give you brainliest
Answer:
6 and 5
Step-by-step explanation:
6*6 -5*5
=36-25
=11
Jon painted 4/5 of his house on Saturday on Sunday he paints 2/3 of what was left how much still needs to be painted
Answer: Jon has 1/5 left to paint
somebody please help I hate geometry
Answer:
70
-----
20
Step-by-step explanation:
mark me as brilliant
y= tan(X-π/5) tìm tập xác định của hs
Answer:
?
Step-by-step explanation: