Neil has total of 8 cars and trucks as toys. For his next birthday, he wants to double the number of cars he has. He will then have a total of 11 toy vehicles. How many of each type does he have now?
Answer:
Number of cars = 3
Number of trucks = 5
Step-by-step explanation:
Let
Number of cars = x
Number of trucks = y
Total number of cars and trucks = 8
We can write the equation: [tex]x+y=8[/tex]
For his next birthday, he want to double the cars.
The number of cars will be: 2x
Now, the total number of cars and trucks will be 11
Now equation will be: [tex]2x+y=11[/tex]
Now, Solving these equations, we can find value of x and y
[tex]x+y=8--eq(1)2x+y=11--eq(2)[/tex]
Subtracting both equations:
[tex]x+y=82x+y=11\\-\:\:\:-\:\:\:-\\--------\\-x=-3\\x=3[/tex]
So, we get x =3
Now, for finding value of y, put value of x in equation 1:
[tex]x+y=8\\3+y=8\\y=8-3\\y=5[/tex]
So, we get y=5
So,
Number of cars = x = 3
Number of trucks = y = 5
n = -2 and m = 5
Find the sum of these fours problems.
Answer:
1. 6 + 45 -10 = 41 2. -20 - 20 - 10 = -50 3. 40 4. -18 - 15 + 10 = -23
Step-by-step explanation:
adding/multiplying a negative and a negative = a positive
xˆ8 ÷ xˆ2 fully factorised
Answer:
Step-by-step explanation:
x^8/x^2= [tex]x^{8-2}[/tex]= x^6
when you divide same base and different powers, you subtract the powers
Answer:
Step-by-step explanation:
There are 2 ways that you can do this problem. The first is just to factor everything and cancel.
x * x * x * x *x * x *x *x
====================
x * x
Two of the xs on the top cancel leaving you with the number 1 on the bottom
x * x * x * x * x * x = x^6
This is one of your answers.
The other is you can notice you get the same thing by subtracting powers.
x^(8 - 2) = x^6
I'm not sure which answer is expected. I would guess the second one.
If the diameter is 2 inches in the height is 15 inches what is the volume. It’s a cylinder by the way
Answer:
94.2477796077
Step-by-step explanation:
Use the formula for the volume of cylinder which is V = pi(r)2(h), mainly divide your diameter to get half of it and that is your radius and start plugin in your numbers which will be V = (pi)(1)(2)15 and solve it which will give 94.2477796077 or 94.
Which expression represents x^2−8x+16 in factored form?
(x + 4) (x − 4)
(x − 4)^2
(x + 4)^2
(x − 2) (x − 8)
answer:
(x+4)^2
so, option C.
Harvey can read 17 pages in one hour. In one week, he spent 6 hours reading. How many pages did Harvey read that week?
Answer:
102
Step-by-step explanation:
If he read 17 pages in one hour and spent 6 hours reading then you have to do 17 times 6 which is 102.
A shipping container will be used to transport several 60-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 23000 kilograms. Other shipments weighing 3200 kilograms have already been loaded into the container. Use the drop-down menu below to write an inequality representing cc, the total number of 60-kilogram crates that can be loaded into the shipping container.
Answer:
c ≤ 330
Step-by-step explanation:
Given that:
Greatest weight = 23000 kg
Weight per crate = 60kg
Weight of other shipment already loaded = 3200kg
Total Number of 60kg crates, c that can be loaded
((Weight per crate * number of crates) + weight of other loaded shipment) ≤ greatest weight
((60 * c) + 3200 ≤ 23000
60c ≤ 23000 - 3200
60c ≤ 19800
c ≤ 19800 / 60
c ≤ 330
A car dealer earns $100 a week plus 5.5% on all sales. If he sold $57,000 in cars this week, how much did he earn?
Answer:
3235
Step-by-step explanation:
100 for the week plus 3135 which is 5.5% of 57,000
Evaluate 42,147÷63. Round to the nearest whole number, if necessary.
Please help
Answer: 669
Step-by-step explanation:
You purchase an item for $30 dollars. If the sales tax rate is 6% , what is the amount of tax?
Answer:$24
Step-by-step explanation:
Mark makes a rectangle with 36 square centimeter tiles. Gia makes a rectangle with 36 square inch thies.
Whose rectangle has a bigger area?
Answer:
Gia
Step-by-step explanation:
Mark is making his of square centimeter tiles which are smaller than square inch tiles. Therefore, Gia has a larger area due to the use of inches rather than centimeters.
Can someone finish this!!! Quickly!!!!
Answer: A linear function always has a rate of change.
Step-by-step explanation: In the first table, the function is linear since both the x and y values increases by a constant number. Each time the x value increases by 1, the y value increases by 5.
In the second table, the y value does not change by a constant number.
For example, the first time, the y value increases by 6, then it increased by 2, then by 4. This means the second table is non-linear since the rate of change isn't constant.
The amount of corn chips dispensed into a 16-ounce bag by the dispensing machine has been identified as possessing a normal distribution with a mean of 16.5 ounces and a standard deviation of 0.2 ounce. What chip amount represents the 67th percentile for the bag weight distribution
Answer:
A chip of 16.59 ounces represents the 67th percentile for the bag weight distribution
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 16.5, \sigma = 0.2[/tex]
What chip amount represents the 67th percentile for the bag weight distribution
This is X when Z has a pvalue of 0.67, so X when Z = 0.44.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.44 = \frac{X - 16.5}{0.2}[/tex]
[tex]X - 16.5 = 0.44*0.2[/tex]
[tex]X = 16.59[/tex]
A chip of 16.59 ounces represents the 67th percentile for the bag weight distribution
Using the normal distribution concept, the chip amount which corresponds to the 67th percentile is 16.59
Using the concept of normal distribution :
Zscore = (X - μ) ÷ σThe 67th percentile is defined as :
P(Z < 0.67) ; Using a normal distribution table, the corresponding Zscore value is 0.44
Substitute into the Zscore relation and solve for the score, X :
0.44 = (X - 16.5) / 0.2
Cross multiply
0.44 × 0.2 = (X - 16.5)
0.088 = X - 16.5
0.088 + 16.5 = X
X = 16.588
Therefore, the chip amount is 16.59.
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Archeologists discover four outer walls of an ancient building, as shown.
If the missing walls are the same lengths as the discovered walls, how many
sides did the original building have? Explain.
15 sides
It’s the right answer
The number of sides that the original building has will be 15 sides.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The measure of the exterior angle is given as,
Exterior angle = 180° - Interior angle
Exterior angle = 180° - 156°
Exterior angle = 24°
The total number of sides of the polygon will be given as,
Exterior angle = 360° / (Number of sides)
24° = 360° / n
n = 360° / 24°
n = 15
The number of sides that the original building has will be 15 sides.
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The complete question is given below.
1. Which sentence contains an incorrect homophone?
When you need to talk, call me.
I ran too the car to see my mom.
Someone needs to explain it to me.
We wanted to go along, too
Answer:
I ran too the car to see my mom.
Step-by-step explanation:
Answer:
I ran too the car to see my mom
Which is the equivalent expression in its most simplified form?
5(2x – 3) + 7
PLZ HELP ME I BEG OF YOU???
Answer:
1/8
That the answer
Solve for y
-8y + 3 = 35
Answer:
[tex]y = - 4[/tex]
Step-by-step explanation:
subtract three from both sides and simplify 35 - 3 to 32
-8y = 32
divide by -8
[tex]y = - \frac{32}{8} [/tex]
simplify
y = -4
Answer:
-4
Step-by-step explanation:
-8y + 3 = 35
-8y + 3 - 3 = 35 -3
-8y = 32
-8y/-8 = 32/-8
y = -4
Write the series 1-0.5-2+ ... for 12 terms using summation notation
The summation notation for the given series is [tex]\sum_{n=1}^{12}(2.5-1.5n)[/tex]
The given series is,
[tex]1,-0.5,-2,........[/tex]
Since, [tex]-0.5-1=-2+0.5=-1.5[/tex]
Here we observe that, common difference between each term is - 1.5.
So, given series is an Arithmetic progression series.
First term, [tex]a=1[/tex], common difference, [tex]d=-1.5[/tex]
General term for AP series,
[tex]a_{n}=a+(n-1)d\\\\a_{n}=1+(n-1)*(-1.5)\\\\a_{n}=1-1.5n+1.5\\\\a_{n}=2.5-1.5n[/tex]
Hence, summation series up to 12 terms is,
[tex]\sum_{n=1}^{12}(2.5-1.5n)[/tex]
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Answer:
1. c.
2. a.
3. a.
4. b.
Step-by-step explanation:
What is the value of the expression when x = 3, y = 5, and z = -4?
Answer:
7 x ^2 y - 3 z
= 7 * (3)^2 * 5 - 3 * - 4
= 7 * 9 * 5 + 12
= 315 + 12
= 327
it's answer is D 327
hope it helps you
Sonia decides to leave a 14% tip after eating dinner at Fresh Catchery. If the bill is $27.78, how much should she pay?
Answer:
$31.67
Step-by-step explanation:
14/100x27.78= about 3.89
3.89+27.78=31.67
$31.67
The amount that Sonia will pay is $31.67.
Amount of bill = $27.78
Percentage of tip = 14%
Amount of tip = 14% × $27.78
= 0.14 × $27.78
= $3.89
Total amount to be paid will then be;
= $27.78 + $3.89
= $31.67
In conclusion, Sonia will pay $31.67.
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Does this table represent a function?why or why not
The answer is C, because there are two different numbers correlated to the same number on the Y side. The table does not represent a function.
The table is not a function because: A. one x-value corresponds to two different y-values.
How to Identify a Table that Represents a Function?If each x-value on a table of values is assigned to only one y-value, that table represents a function. If an x-value corresponds to more than one y-value, the table is not a function.
Thus, the x-value, 5, corresponds to two y-values, 2 and 5. Therefore the table does not represent a function.
The answer is: A.
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could someone help me pleasee
Answer:
multiply them all together to get 84 cubic meters.
Step-by-step explanation:
7 times 3 times 4 = 84
*answer fast!!
Christian is going to an amusement park. The price of admission into the park is $35, and once he is inside the park, he will have to pay $3 for every ride he rides on. How much money would Christian have to pay in total if he goes on 8 rides? How much would he have to pay if he goes on rr rides?
Cost for 8 rides:
Cost for rr rides:
^^^
each answer needs to be a equation
Answer:
Step-by-step explanation:
Admission price = 35$
Cost of every ride = 3$
Cost of 8 rides = 8 x 3 = 24$
Total amount = 35 + 24 = 59$
A woodworking artist makes two types of carvings: type X and type Y. He spends 3 hours making each type X carving and 2 hours making each type Y carving, and he can spend up to 36 hours each week making carvings. His materials cost him $4 for each type X carving and $5 for each type Y carving, and he must keep his weekly cost for materials to $100 or less. If x is the number of type X carvings he makes in a week and y is the number of type Y carvings he makes in a week, which of the following systems of inequalities models this situation?
A.
3x + 2y ≥ 36, 4x + 5y ≥ 100
B.
3x + 2y ≤ 36, 4x + 5y ≥ 100
C.
3x + 2y ≥ 36, 4x + 5y ≤ 100
D.
3x + 2y ≤ 36, 4x + 5y ≤ 100
image below and problem
Answer: 18
Step-by-step explanation: Add them all together to get the answer to the equation <3
Which ratio is equivalent to 4:10?
A:2/5
B.8/10
C:12/16
D:16/10
Answer: It d
Step-by-step explanation:
A puppy named sparky started out at 3 pounds and gained 2 pounds every month how heavy was sparky at 4 months old
Answer:
4.5 pounds
Step-by-step explanation:
find four solutions for the following linear equations your answer must include at least two positive numbers for X and at least two negative numbers for X. Do not choose 0 for the x coordinate express your answer in the form x, y
9514 1404 393
Answer:
(-18, 14), (-9, 9), (9, -1), (18, -6)
Step-by-step explanation:
Since there is a 9 in the denominator of the coefficient of x, we will get integer solutions only if x is a multiple of 9. Suitable values meeting the problem requirements are x ∈ {-18, -9, 9, 18}. Then the corresponding values of y are ...
y = -5/9(-18) +4 = 10 +4 = 14
y = -5/9(-9) +4 = 5 +4 = 9
y = -5/9(9) +4 = -5 +4 = -1
y = -5/9(18) +4 = -10 +4 = -6
The four solutions we have found are ...
(-18, 14), (-9, 9), (9, -1), (18, -6)
Which year had higher profits in month 5?
Answer:
Last year
Step-by-step explanation:
The question is:
Which year had a decrease in profit between months 3 and 4?
Answer:
Last year
Step-by-step explanation:
