What if mac bought8pack of toy boats and then he gave his friend 3boats? If mac has 13 boats now,how many boats were in each pack?
Answers
We have 8 packs of toy boats, meaning there are a specific amount of toy boats per pack, so we have to multiply 8 by a variable, x. Considering this is the total, too, we should let this sit at the end of the equation (=8x). Mac gave his friend 3 toy boats, meaning we will be subtracting 3 from our equation, but this will be on the other side of the equation with 8x (-3). We also have a current total of 13 toy boats after Mac gave away 3 boats, meaning that 13 will have to sit alone (+13).
With this information, let's set up an equation. With what we have, the equation will look like this:
8x - 3 = 13
Now all we have to do is solve for x. To start this off, we should add 3 to both sides to isolate the variable.
8x = 13 + 3; simplify.
8x = 16; All that is left is to divide both sides by 8 and we will have figured out how many toy boats were in each pack.
8x / 8 = x; 16 / 8 = 2.
We are left with our answer, x = 2. That being said, there were 2 toy boats per pack.
I hope this helps!
Related Questions
Help on 37? Thank you!
Answers
We have to get the denominator of both fractions to be the same so let’s do
3/8 = 18/48
1/6 = 8/48
So if the total is 72 we need to do
18/48 = ?/72
Than cross multiply and let’s change ? into x
48x=1,296
Than divide both sides by 48 to solve for x
x=27
So Paquito scored 27 points
Nows let’s find Jeff’s total points by doing
8/48 = ?/72
Cross multiply once more and change ? To y this time
48y=576
And now divide both sides by 48 to get y
y=12
So Jeff scored 12 points
But that isn’t what the question is asking it’s asking how many did they score together so now all we have to do is
27+12=39
The total amount of points scored by Jeff and Paquito together was 39
massimo has $90 in the bank. Every time he rides the buss he spends $2.50. write and solve an equation that massimo can use to see how many times he can ride the bus.
Answers
in other words you would divide 2.50 on both sides and then get t , and t stands for how time which is how many times you can ride the bus. The answer would be 36 times
[tex]2.50x = 90 \\ x = 36[/tex]
36 rides
Which describes the inverse operations used after the distributive property
Answers
Hope this helps =)
Answer:
subtraction then division on edge
Step-by-step explanation:
complete the following math problem
3+6×3=
Answers
3+(6*3)
Hope that helps!
Do multiplication first: 6*3=18
Then do addition: 3+18=21
So your answer is 21.
simplify the product 7x(x+4)
Answers
hope this helps
This is right I hope :D Good luck
Write a polynomial function with rational coefficients so that P(x) = 0 has the given roots. 4, 16, and 1 + 9i
Answers
so if a polynomial has roots [tex]r_1[/tex], [tex]r_2[/tex], [tex]r_3[/tex], it can be factored into
[tex]f(x)=a(x-r_1)^b(x-r_2)^c(x-r_3)^d[/tex] where a,b,c,d are constants
also, if a polynomial has rational coefients and a+bi is a root, then a-bi must also be a root
so our roots we need are
4,16, 1+9i and 1-9i
so assuming multiplity 1 (that means we have something like [/tex]f(x)=a(x-r_1)^1(x-r_2)^1(x-r_3)^1[/tex])
we get that your function is
[tex]P(x)=(x-4)(x-16)(x-(1+9i))(x-(1-9i))[/tex] which simplifies to
[tex]P(x)=(x-4)(x-16)(x-1-9i)(x-1+9i)[/tex] which expands to
[tex]P(x)=x^4-22x^3+186x^2-1768x+5248[/tex]
The sum of two numbers is 24 and their difference is 2. What are the numbers?
Answers
4 X 6= 24
6-4= 2
Which expression would you use to find the number of outcomes for flipping 4 coins?
Answers
Multiply 2 by 2 by 2 by 2.
Answer:
[tex]2^4[/tex].
Step-by-step explanation:
If we flip a coin then we have two possibilities, i.e., head or tail. So,
Number of outcomes for flipping a coin = 2
If n coins are tossed, then the total number of outcomes is defined by the expression [tex]2^n[/tex].
It is given that the number of coins is 4.
Number of outcomes = [tex]2^4=2\times 2\times 2\times 2=16[/tex]
Hence, he required expression is [tex]2^4[/tex].
If m BOC = 30°, then m CAB = degrees
Answers
Answer: It's 330
Step-by-step explanation:
Answer:
The answer is 330.
_______________
Use algebra tiles to model and solve x+5=3x-1
Answers
x - 3x = -1 -5
-2x = -6
2x = 6
x= 6÷ 2
x = 3
Whatever blocks you have on both sides you can cancel. So we cancel one [tex]x[/tex]-block, and to take away the [tex]-1[/tex]-block, we balance the equation by putting a [tex]+1[/tex]-block on the other side. We are left with 2 [tex]x[/tex]-blocks equal to 6 [tex]+1[/tex]-blocks. This is equivalent to 1 [tex]x[/tex]-bock equal to 3 [tex]+1[/tex] blocks, so [tex]x=3[/tex].
Algebraically, you can write
[tex]x+5=3x-1 \\ 5=2x-1 \\ 6=2x \\ x=3[/tex].
I personally find the latter approach much easier, but I think the tiles are a nice way to conceptualize what you're doing.
Todd would like to purchase a bicycle that costs $246. This is $48 more than twice the cost of his last bicycle. How much did his last bicycle cost?
Answers
198/2= 99
Todd's last bike cost $99.
Andrea’s backyard is 400 square feet. Her rectangular swimming pool is 10 feet long, and six feet wide. What is the area of Andrea’s backyard, not including the swimming pool?
Answers
A=A1=LxW
L=10 ft
W=6 ft
When you substitute these values into the formula, you obtain:
A1=LxW
A1=(10 ft)(6ft)
A1=60 ft²
The area of the Andrea’s backyard (A2) is 400 ft², therefore, the area of Andrea’s backyard, not including the swimming pool (A3), is:
A3=A2-A1
A3=400 ft²-60 ft²
A3=340 ft²
What is the area of Andrea’s backyard, not including the swimming pool?
The answer is: The area of Andrea’s backyard, not including the swimming pool, is 340 feet²
Answer: The answer is 340
Step-by-step explanation:
You have to first find the area of the swimming pool 60 then you subtract it by the backyard 400 so you would get 340.
ABCD is a parallelogram.Find the measure of ABC
Answers
The opposite to angle ADC is angle ABC
Opposite angles of a parallelogram are congruent, so angle ABC is also 50 degrees
Answer: 50 degrees
Answer:
(C)50°.
Step-by-step explanation:
It is given that ABCD is a parallelogram and m∠ADB=38° and m∠BDC=12°.
Now, [tex]m{\angle}ADC={\angle}ADB+{\angle}BDC[/tex]
[tex]m{\angle}ADC=38^{\circ}+12^{\circ}[/tex]
[tex]m{\angle}ADC=50^{\circ}[/tex]
Also, opposite angles of parallelogram are equal, therefore m∠ADC=m∠ABC=50°.
Hence, option C is correct.
In a quadrilateral ABCD, AB ∥ DC and AD ∥ BC . Find the perimeter of ΔCOD if point O is the intersection of the diagonals and AC = 20 in, BD = 20 in, AB = 13 in.
Answers
Answer:
33
Step-by-step explanation:
As the opposite sides of a quadrilateral are parallel and equal in length so
(AB) = (CD) =13
And the diagonals of a quadrilateral bisect each other at their intersection point (O in this case), so length of side OC will be the half of diagonal AC.
(OC) = (AC) /2
(OC)=20/2
(OC) =10
Similarly,
(OD) =10
Now,
Perimeter of Triangle OCD = (OC) + (CD) + (OD)
=10+13+ 10
=33
Can I please have help?
Answers
Decreases by 1 every 100 meters
1100 / 100 = 11
4 - 11 = -7
-7 degrees Celsius
Simplify 24/2^2+6 plz
Answers
24/2 = 12
12^2 = 144
144 + 6 = 150 would be your answer
If it is 24/(2²) + 6
(2²) = 4
24/4 = 6
6 + 6 = 12
12 would be your answer
hope this helps
a science museum has a scale model of a ladybug in the model 50 cm represents 9 mm the length of the model is 1 m how long is the actual ladybug
Answers
2x9 = 18
the ladybug is 18 mm
Brian has 3 basketball cards and 5 basketball card what faction of Brian card are baseball cards
Answers
I don’t think this is correct but I got an area of 21.Can anyone help me or correct me on my error??
Answers
There are now two parts with the dimensions of 3 x 3 and 2 x 9.
Multiply 3 x 3. That is 9.
Multiply 9 x 2. That is 18.
Add together 18 and 9. That is 27.
The answer is B, 27 in².
Hope this helps!
a bag of 5 lemons costs £1
a bag of 4 oranges costs £1.80
How much more does one orange cost than one lemon?
Answers
8 pounds 4 ounces = how many ounces
Answers
Hope this helps:D
Have a great rest of s brainly day!
"AB84"
Julian wants to spend NO MORE than $1,250 on his trip. The airfare is $358. Write & solve an inequality to find the maximum amount he can spend on the rest of his trip.
Answers
X has to be less than or equal to $892 because you have to subtract $358 from the total budget which is $1250
Amount of money Julian can spend on trip= $1250
Amount spent on airfare = $358
Money left for trip = Total money - money spent on airfare= 1250 - 358= $892
So writing an inquality ,
[tex] x\leq 1250-358 [/tex]
where x is amount he can spend on trip.
Solving the inequality,
[tex] x\leq 892 [/tex]
So he can spend less than or equal to $892 on the trip.
At a games tournament, 1,008 people are divided into teams of 6. How many terms will play in the first round?
I got for an answer 168. But I feel like that is wrong??? Can someone help me with this???
Answers
At a games tournament, 1,008 people are divided into teams of 6. How many terms will play in the first round?
My Answer:
168 ( This would be the same thing you have )
My Work:
1,008 ÷ 6 = 168
Hope I Helped,
~James
Final answer:
To find out how many teams will play in the first round, divide the total number of people by the number of people in each team. In this case, there will be 168 teams playing in the first round.
Explanation:
To find out how many teams will play in the first round, we need to divide the total number of people by the number of people in each team. In this case, we have 1,008 people divided into teams of 6.
To calculate the number of teams, we divide 1,008 by 6: 1,008 ÷ 6 = 168.
Therefore, there will be 168 teams playing in the first round.
A fruit salad consists of blueberries, raspberries, grapes, and cherries. The fruit salad has a total of 280 pieces of fruit. There are twice as many raspberries as blueberries, three times as many grapes as cherries, and four times as many cherries as raspberries. How many cherries are there in the fruit salad?
Answers
2 x bluberries = total raspberries
So raspberries = 2x
Cherries= 4 x raspberries so
Cherries = 8 x
Grapes = 3x cherries so
Grapes = 24x
Total fruit is equal to
X+2x+24x+8x=280
35x=280
Therefore X= 280/35=8
No of cherries in the salad
=8x
=8(8)
=64 cherries in total
Hope this helped and sorry I used shortcuts
Hope u understand
Final answer:
The given ratios indicate there should be 17.5 cherries in the fruit salad, but the number must be a whole number. There appears to be an error in the problem statement, as the conditions cannot be met with the total number of fruits given.
Explanation:
Solving the Fruit Salad Problem
Let's define the number of cherries in the fruit salad as x. According to the problem, there are four times as many cherries as raspberries, so the raspberries would be 4x. Since there are twice as many raspberries as blueberries, the blueberries would be 2(4x) = 8x. Lastly, there are three times as many grapes as cherries, meaning there are 3x grapes. To find out how many cherries are in the fruit salad, we can set up the following equation representing the total pieces of fruit:
x + 4x + 8x + 3x = 280
Adding all terms on the left side of the equation gives:
16x = 280
Dividing both sides by 16 to find the value of x gives:
x = 280 / 16
x = 17.5
Since we cannot have half a cherry in the fruit salad, the correct number of cherries must be a whole number. Therefore, it seems there's a mistake in the original statement regarding the relationship between the number of cherries and other fruits. Without the correct ratios or total pieces of fruit, a precise answer cannot be determined.
Help with this please!
Answers
15x is equal to 6x/2 * 5
24 x is equal to the middle row, which simplifies to (12)2x = 24x.
= 3x × 5
= 15x
(48 ÷ 4)2x
= (12)2x
= 24x
(13 - 9)3x
= (4)3x
= 12x
The probability that an event will occur is fraction 7 over 8. Which of these best describes the likelihood of the event occurring? Likely Certain Unlikely Impossible
Answers
0/8 (or 0) = Impossible
1/8 to 3/8 = Unlikely
4/8 to 7/8 = Likely
8/8 = certain
Hope this helped!
Since 7/8 are quite likely, solution A is the right choice. But it's not certain. It has a 12.5% probability of happening.
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Given, The probability that an event will occur is fraction 7 over 8.
Adjectives include likely and unlikely. When something is likely to occur or is likely to occur, it signifies that it is most likely to occur or that it is anticipated to occur. If something is improbable to occur or unlikely to happen, it suggests that it is most likely not going to.
Likely means there's a big chance that an event will happen. Certain means an event is going to happen, for sure. It will always happen.
In our case,7/8 is very likely. It isn't certain though. There is a 12.5 % chance that it can occur.
therefore, A is the correct answer because 7/8 is very likely. It isn't certain though. There is a 12.5 % chance that it can occur.
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ3
A rowing team is practicing on a river. When the boat travels downstream, the current increases the speed of the boat. But when the boat travels upstream, the current decreases the speed of the boat. The team wrote a system letting s represent the speed in calm water and c represent the speed of the current. They found the solution for the system (s, c) to be (14, 6). How fast was the team traveling upstream and downstream?
A. The team traveled at 6 km per hour upstream and 14 km per hour downstream.
B. The team traveled at 14 km per hour upstream and 6 km per hour downstream.
C. The team traveled at 8 km per hour upstream and 20 km per hour downstream.
D. The team traveled at 20 km per hour upstream and 8 km per hour downstream.
Answers
[tex]s=14 \frac{km}{h} [/tex] and [tex]c=6 \frac{km}{h} [/tex]
We also know that when the boat travels downstream, the current increases the speed of the boat; therefore to find the speed of the boat traveling downstream, we just need to add the speed of the boat and the speed of the current:
[tex]Speed_{downstream} =s+c[/tex]
[tex]Speed _{downstream} =14 \frac{km}{h} +6 \frac{km}{h} [/tex]
[tex]Speed_{downstream} =20 \frac{km}{h} [/tex]
Similarly, to find the the speed of the boat traveling upstream, we just need to subtract the speed of the current from the speed of the boat:
[tex]Speed_{upstream} =s-c[/tex]
[tex]Speed_{upstream} =14 \frac{km}{h} -6 \frac{km}{h} [/tex]
[tex]Speed_{upstream} =8 \frac{km}{h} [/tex]
We can conclude that the correct answer is C. The team traveled at 8 km per hour upstream and 20 km per hour downstream.
Final answer:
The team traveled at 8 km per hour upstream and 20 km per hour downstream. Downstream speed is calculated by adding the speed of the boat in calm water to the speed of the current (s + c), and upstream speed by subtracting the current speed from the boat's speed (s - c).
Explanation:
The student is asking about the speeds a rowing team would travel when going upstream and downstream in a river. The system of equations they've solved has given a solution for the speed in calm water, represented by s, and the speed of the current, represented by c, as (14, 6). To find the speed of the team traveling upstream and downstream, we use these values in conjunction with the direction of the current.
When traveling downstream, the current adds to the speed of the boat in calm water, so you would add the speed of the boat and the speed of the current: s + c. This equates to 14 km/h (speed in calm water) + 6 km/h (speed of current) = 20 km/h downstream.
Conversely, when traveling upstream, the current subtracts from the speed of the boat in calm water, so you would subtract the speed of the current from the speed of the boat: s - c. This is 14 km/h (speed in calm water) - 6 km/h (speed of current) = 8 km/h upstream.
Therefore, the correct answer is: C. The team traveled at 8 km per hour upstream and 20 km per hour downstream.
which is better to buy?
1 lb of walnuts for $3.49
or
10 oz of walnuts for $2.49
Answers
solve 12x - 14 = 16x
Answers
-14=16x-12x
-14=-4x
14=4x
x=14/4
x=7/2
x=3.5
please thank me and mark as the Brainliest
12x - 14(+14) = 16x (+14)
12x = 16x + 14
12x (-16x) = 16x(-16x) + 14
-4x = 14
-4x/-4 = 14/-4
x = -3 1/2
Check:
12(-3.5) - 14 = 16(-3.5)
-42 - 14 = -56
-56 = -56
The answer is: -3 1/2 or -3.5
the seven houses on Kent lane are numbered from 1 to 7 .the local newspaper choose two of the houses at random to receive a free Sunday paper. What is the probability that house 6 and 7 receive the free paper