Answer: x=
1/8y+5
Step-by-step explanation: Step 1: Flip the equation.
8x−40=y
Step 2: Add 40 to both sides.
8x−40+40=y+40
8x=y+40
Step 3: Divide both sides by 8.
8x
8
=
y+40
8
x=
1
8
y+5
1. Jenny is organising a barbecue. There are 30 bread rolls in a pack. There are 16 sausages in a pack. She needs exactly the same number of bread rolls as sausages. What is the smallest number of each pack she must buy?
Answer:
2. Tom, Sam and Matt are doing a show by counting drum beats .They decided to donate the collecting money for the poor children for their studies. Tom hits a snare drum every 2 beats. Sam hits a kettle drum every 5 beats. Matt hits a bass drum every 8 beats. Tom, Sam and Matt start by hitting their drums at the same time. How many beats is it before Tom, Sam and Matt next hit their drums at the same time? What value you can see in their act
Answer:
If you answer I promise I will make you the brainiest, like and I will vote 5
Answer:
Step-by-step explanation:
First find the LCM of 30, 16. This will give the common number of sausages and bread rolls
30 = 2 * 3 * 5
16 = 2 * 2 * 2 * 2
LCM = 2* 2 * 2 * 2 * 3 * 5 = 240
240 sausages and 240 bread rolls
Number of Sausage pack = 240 ÷ number of sausages in a pack
= 240 ÷ 16
= 15
Number of bread roll pack = 240 ÷ number of bread rolls in a pack
= 240 ÷ 30
= 8
Jenny should buy 8 pack of bread rolls and 15 pack of sausage
2) LCM of 2 , 5 , 8 = 40
Tom, Sam, Matt will hit their drum same at 40 minutes
Number of beats hit by Tom before reaching 40 minutes = 40/2 =20 hits
Number of beats hit by Sam before reaching 40 minutes = 40/5 = 8 hits
Number of beats hit by Matt before reaching 40 minutes = 40/8 = 5 hits
Offering lots of points for the right answer! Please help with this question, thank you!
Answer:
Rotate EFG around point E by 90 degrees clockwise and then translate downwards.
Rotate EFG around point F by 90 degrees counterclockwise and then reflect on a horizontal line e is on, and then translate EFG onto triangle PQR
Step-by-step explanation:
Not going to lie, they made it a lot harder without coordinates... so sorry no explanation...
What is greater 14/8 or 1 3/4
14/8
Step-by-step explanation:
Answer:
13/4 is greater
Step-by-step explanation:
14/8 or 13/4
= 14*1/8*1 = 13*2/4*2
= 14/8 =26/8
14/8<26/8 which means
14/8 < 13/4
7. Movers, Not Shakers moving company charges $800 plus $16 per hour. Hernia Movers
charges $720 plus $21 per hour.
a. After how many hours, h, would the two moving companies cost the same amount?
b. What would that amount be?
Answer:
a.16
b.1056
Step-by-step explanation:
a. So we know that Not Shakers charges 800 dollars + 16 per hour, so we can call that 800 + 16h. We also know that Hernia Movers charges 720 dollars + 21 per hour, so we can call that 720 + 21h.
Now in order to find when they will have the same amount, we have to solve for h.
Equation:
800 + 16h= 720+21h
800=720+5h
5h=80
h=16
The two companies will have the same amount after 16 hours.
b. Now we have to find that amount, so all we have to do is replace h with 16. so 720 + 21(16) = 1056.
Therefore, the amount will be 1056 dollars.
Trapezoid JKLM with vertices J(-4,3),K (-2,7),L(2,7), and M(3,3) in the line y=1. Find the cord images of the reflected object.
9514 1404 393
Answer:
J'(-4, -1)K'(-2, -5)L'(2, -5)M'(3, -1)Step-by-step explanation:
Reflection over the line y=1 is equivalent to the transformation ...
(x, y) ⇒ (x, 2-y)
Then the transformed coordinates are ...
J(-4, 3) ⇒ J'(-4, -1)
K(-2, 7) ⇒ K'(-2, -5)
L(2, 7) ⇒ L'(2, -5)
M(3, 3) ⇒ M'(3, -1)
_____
You can do the arithmetic (as we have done above), or you can simply read the coordinates of the reflected points from the graph.
pls help
A:1/360
B:1/180
C:1/90
D:1/100
Answer: A) 1/360
This is because there are 360 degrees in a full circle.
The graph below is increasing on (-3,infinity)
True or false
Ricky says (x5)(x3) = x15 Rocky says (x5)(x) = x ? Who is correct? Why?
Answer:
1.rocky
Step-by-step explanation
1.we have the add the powers of x,not multiply.
By understanding the concepts of division and multiplication of exponents, we can say that Rocky and Kay are correct.
What is division and multiplication of exponents?If we are multiplying similar bases, we simply add the exponents. If we are dividing, we simply subtract the exponents.
[tex](x^{5})(x^{3}) = x^{5+3}=x^{8}\\ \\ \frac{x^{12}}{x^{8} } = x^{12-8} = x^{4}[/tex]
Learn more about division and multiplication of exponents here
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Elene went to a store where you can scoop your own popcorn and buy as much as you want. She bought 10 ounces of spicy popcorn for 2.50. How much does popcorn cost per ounce? How much popcorn can you buy per dollar? Write two different equations that represent this situation. Use for ounces of popcorn and for cost in dollars.
Answer: See explanation
Step-by-step explanation:
Fron the question, we are informed that she bought 10 ounces of spicy popcorn for $2.50.
a. How much does popcorn cost per ounce?
1 ounce of popcorn = $2.50/10 = $0.25
b. How much popcorn can you buy per dollar?
Since 1 ounce of popcorn cost $0.25, $1 can buy popcorn worth:
= $1/$0.25
= 4 ounce of popcorn.
The relationship between the ounce of popcorn and the amount spent is an illustration of a linear function.
The cost per ounce is $0.25The amount of popcorn for $1 is 4 ouncesFrom the question, we have:
[tex]\mathbf{10oz - \$2.50}[/tex]
(a) The cost per ounce
To do this, we simply divide both sides by 10
[tex]\mathbf{Cost = \frac{\$2.50}{10oz}}[/tex]
[tex]\mathbf{Cost = \$0.25/oz}[/tex]
Hence, the cost per ounce is $0.25
(b) Popcorn for $1
To do this, we simply divide both sides by 2.5
[tex]\mathbf{Popcorn- \frac{10oz}{\$2.50}}[/tex]
[tex]\mathbf{Popcorn- 4oz/\$}[/tex]
Hence, the amount of popcorn for $1 is 4 ounces
(c) Represent as equations
In (a), the cost per ounce is $0.25.
So, the equation is:
[tex]\mathbf{y = 0.25x}[/tex]
In (b), the amount of popcorn for $1 is 4 ounces
So, the equation is:
[tex]\mathbf{x = 4y}[/tex]
Where: x represents the size of popcorn, and y represents the cost.
Read more about linear functions at:
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What is the length of AC?
B
181
1
1
140 - X
A
A. 112
B. 120
C. 105
D. 126
Answer:it’s 126
Step-by-step explanation:
The length of AC will be 126. Option D is correct. Similarity of the triangle is applied to find the value of AC.
What is SAS similarity theorem?ΔABC ~ ΔDEF only if ratio of two sides of ΔABC and corresponding two sides of ΔDEF is equal, and the angle included in both sides are congruent.
Suppose the two sides of ΔABC are AB and BC, and that of DEF be DE and EF, then for SAS similarity, we need
From the similarity of the triangle;
[tex]\rm \frac{AB}{ED} =\frac{AC}{EC} \\\\ \rm \frac{81}{9} =\frac{140-x}{x} \\\\ 9x=140-x\\\\ 10x=140 \\\\ x=14[/tex]
The measure of AC is;
AC=140-x
AC=140-14
AC=126
The length of AC will be 126.
Hence,option D is correct.
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the two angles are supplementary if a=19x+3 and b= 21x +17 solve for x and find the measure of each angle
Answer:
x = 4
a = 79
b = 101
Step-by-step explanation:
Supplementary means equal to 180° after all angles are added together.
a=19x+3
b= 21x +17
(19x+3) + (21x +17) = 180
19x + 3 + 21x + 17 = 180
40x + 20 = 180
40x = 160
x = 4
a = 19(4)+3 = 79
b = 21(4) +17 = 101
A container of colored candy contains 10 red candies, 11 yellow candies, 8 green
candies, and 8 blue candies. Which will have a probability closest to 0.0?
O A. drawing a red or blue candy
OB. drawing a red, yellow, or blue candy
O C. drawing a yellow or blue candy
OD. drawing a green, yellow, or blue candy
3(5+3)^2 +14
help me pls i cannot deal w my parents again
Answer:
206
Step-by-step explanation:
I put it in a calculator
Answer:
206
Step-by-step explanation:
3(5+3)^2+14
3(8)^2+14
3(64)+14
194+14
=206
HELP MEE
2. The scale on a map is 1 cm: 7 km. If two cities are 14 cm apart on
the map, what is the actual distance between the cities?
0 2 km
686 km
098 km
O 14 km
15 cm * (7 km / 1 cm) = 105 km
Answer:
98 km, if i'm not wrong
Step-by-step explanation:
I believe it would be 98km because wouldn't you just multiply 14 x 7?
solve 2g+19+4g-13+6(g+1)
Answer:
19g+7?
Step-by-step explanation:
2g+19+4g-13+6g+1
19g+7
To save money for prom this weekend, Tom is going to walk his neighbor's dog for $6 per hour and wash cars for $7.50 per hour. His mother said he can work no more than 15 hours to ensure he keeps up with his homework. Tom needs to make at least $75 to cover prom expenses. If d represents the number of hours walking his neighbor's dog and c represents the number of hours washing cars, which system of inequalities represents this solution?
Answer:
Hey there! The answer you selected is correct!
Step-by-step explanation:
$6 x the number of hours he works + $7.50 times the number of hours he works has to be less than or equal to (≤) 15 hours. The number of hours he works has to be more than or equal (≥) to $75. Great job choosing the correct answer!
The system of inequalities represents this solution is B. 6c + 7.5d ≥ 75 ;
d + c ≤ 15.
What is inequality?A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.
Now it is given that,
Money from walking neighbor's dog = $6 per hour
Money from car wash = $7.5 per hour
Total Number of hours of work not more than 15 hours
Now, if d represents the number of hours walking his neighbor's dog and c represents the number of hours washing cars
So, money from walking neighbor's dog = 6c
and money from car wash = 7.5d
Therefore total money saved = 6c + 7.5d
∵ Total Number of hours of work is not more than 15 hours
⇒ d + c ≤ 15
∵ Tom needs to make at least $75 to cover prom expenses
⇒ 6c + 7.5d ≥ 75
The system of inequalities represents this solution is B. 6c + 7.5d ≥ 75 ;
d + c ≤ 15.
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Li walks at a constant rate of 7 ft. in 4 seconds. The table shows the relationship of feet to seconds. What is the constant of proportionality for the relationship of feet to minutes? (1 minute=60 seconds) *
10 points
Answer:
The rate is 1.75 feet/seconds or 105 feet/minute.
Step-by-step explanation:
Given that,
Li walks at a constant rate of 7 feet in 4 seconds
To find the constant of proportionality, divide 7 feet by 4 seconds.
So,
[tex]k=\dfrac{7\ \text{feet}}{4\ \text{seconds}}\\\\k=1.75\ \text{ft/s}[/tex]
1.75 ft/s is the constant of proportionality
We know that, 1 minute = 60 seconds
k = 105 feet/minute
So, the rate is 1.75 feet/seconds or 105 feet/minute.
Customers of a utility company received notices in their monthly bills that heating costs for the average customer had increased 125% over last year because of an unusually severe winter. In January of last year, the Garcia's paid $120 for heating. What should they expect to pay this January if their bill increased by 125%?
Answer: $270
Step-by-step explanation:
Cost of heating last year = $120
The amount that they will expect to pay this January if their bill increased by 125% will be the addition of $120 and 125% of $120. This can be mathematically expressed as:
= $120 + (125% × $120)
= $120 + (1.25 × $120)
= $120 + $150
= $270
Solve. The following decimal number operations.
1 a. 1.2 + ______ = 1.8
1 b. 3.9 + ______ = 7.47
2 a. ______ + 3.8 = 7.9
2 b. ______ + 0.36 = 0.36
3 a. 1.2 + ______ = 4.1
3 b. ______ + 0.63 = 6.33
4 a. 4.1 + ______ = 7.68
4 b. ______ + 0.9 = 3.8
5 a. 5.1 + ______ = 5.98
5 b. 3.1 + ______ = 4.3
6 a. 0.7 + ______ = 1.3
Answer:
XDDDDDDDDDDDDDDDDDDDDDDDDD
Step-by-step explanation:
Find the distance between these two points: A(-3,-5) and B(-2,5)
3
10
5
3.3
Answer:
The answer is 10Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A(-3,-5) and B(-2,5)
The distance between them is
[tex] |AB| = \sqrt{ ({ - 3 + 2})^{2} + ({ - 5 - 5})^{2} } \\ = \sqrt{ {1}^{2} + ( { - 10})^{2} } \\ = \sqrt{1 + 100} \: \: \: \: \: \: \: \: \: \\ = \sqrt{101} \\ = 10.04987562...[/tex]
We have the final answer as
10.0Hope this helps you
Answer:
i think it is 10 but .-.
Step-by-step explanation:
i graphed it o.o
Why is 9.68 an irrational number
An irrational number is a number that cannot be represented by a fraction, or must be represented by other irrational numbers. In this case, however, 9.68 can be represented by 9 17/25 , so 9.68 is NOT an irrational number.
What is the slope of the line parallel to the line Y equals - 3X -8
Answer:
The slope is still -3x. (-3)
Step-by-step explanation:
If a line is parallel to another line, all that's different about it is the location including the y intercept. This means the slope stays the same.
PLEASE HELP MEH IM NEED THIS NOW PLEZZ
What is x ? -2x + 3 < 5
Answer: x>-1
Step-by-step explanation: I know this because I solved this equation. I know that is not a good explanation but I know it is right.
Answer:
x > -1
Step-by-step explanation:
-2x + 3 < 5
subtract 3 from both sides of inequality
-2x < 2
divide both sides of inequality by -2. Keep in mind whenever you divide or multiply by a negative number to both sides of inequality the symbol flips.
x > -1
Evaluate the expression 3+ [5(2-3) - 6]
Answer:
-8
Step-by-step explanation:
Anyone please can you tell me the scale factor for this? I don’t wanna fail class :(
Line EF is 3 units long
Line CD is 8 units long
If you are scaling EF up to CD the scale is 8/3 = 2 2/3 ( 2.67)
If you are scaling CD down to EF the scale is 3/8 (0.375)
1.55555556
Turn the repeating decimal into a fraction
Answer:
14/9
Step-by-step explanation:
Yea that is the answer...
3/5 as an equivalent fraction
Answer:
6/10 or 36/60
Step-by-step explanation:
You see to get an equavilent fraction all you have to do is multiply by two then, later on, that same number.
Hope this helps :)
Answer:
6/10 or 9/15
Step by step:
3/5×2/2=6/10
3/5×3/3=9/10
Evaluate y(-4) - 8x when x = 5, y = -1
Answer:
−36
Step-by-step explanation:
solve for v pls thanks
Answer:
v = 18
Step-by-step explanation:
8/3v = 48
were going to have to get 3 on the other side, so were going to cancel it out and multipliy it because it is a fraction
now we would have 8v = 48*3
48*3=144
now the equation looks like this 8v = 144
to isolate v we can divide 8 on both sides
which brings us to v = 18
High Hopes^^
Barry-
bruh please help i’ve been trying to do this for two days and i can’t figure it out :// pls help lol i’m struggling
Answers:
x = 13
y = 24
=========================================================
Explanation:
Refer to the diagram below.
The triangle has interior angles (7x-31), 63, and some unknown angle, which we'll call z. This angle z is congruent to (5x-8) as the angles are alternate interior angles.
Alternate interior angles are congruent when we have parallel lines like this.
So z = 5x-8
Add up the three angles inside the triangle, set the sum equal to 180, and solve for x
(angle1)+(angle2)+(angle3) = 180
(7x-31)+63+(5x-8) = 180
12x+24 = 180
12x = 180-24
12x = 156
x = 156/12
x = 13
--------------------------
The angle z mentioned earlier is adjacent to the (4y+27) angle. These two angles form a straight line. They are considered a linear pair. This means they are supplementary (they add to 180)
z+(4y+27) = 180
(5x-8)+(4y+27) = 180
5x + 4y + 19 = 180
5(13) + 4y + 19 = 180
65 + 4y + 19 + 180
4y + 84 = 180
4y = 180-84
4y = 96
y = 96/4
y = 24