Answer:
There are 72 crayons in the box
Step-by-step explanation:
Fractions
To solve this problem we'll manage numbers as fractions to keep the precision up to the end of it.
Lynn has a box of crayons. It's given 4/9 of the crayons are blue. The remaining crayons are:
[tex]1-\frac{4}{9}=\frac{5}{9}[/tex]
From that portion, 65% are red, or equivalently, 35% are yellow.
We write 35% as a fraction:
[tex]\displaystyle 35\%=\frac{35}{100}=\frac{7}{20}[/tex]
Thus, the portion of yellow crayons is:
[tex]\displaystyle \frac{7}{20}\cdot \frac{5}{9}=\frac{7}{36}[/tex]
This fraction of x crayons is equal to 14, thus:
[tex]\displaystyle x=\frac{14}{\frac{7}{36}}=14\cdot\frac{36}{7}[/tex]
x = 72
There are 72 crayons in the box
A forest covers 68.000 acres. A survey finds that 0.6% of the forest is old-growth trees. How many acres of old-growth trees are there?
Answer:
68.000 acres x 0.6% = 408 acres
Step-by-step explanation:
A music shop charges a deposit of $20, plus a monthly rate of $30 to rent an instrument. For how many months did Avi rent an instrument if he spent a total of $80?
Answer:A) 2 months
Step-by-step explanation:The base fee is $20.
The monthly rate is $30.
We can represent the number of months with the variable ‘x’.
The equation for this problem would look like this: 20+30x=80l
In words, it would be: base fee + monthly rate*x = $80
A music shop charges a deposit of $20, plus a monthly rate of $30 to rent an instrument. For how many months did Avi rent an instrument. For how many months did Avi rent an instrument if he spent a total of $80
A) 2 months
B) 3 months
C) 4 months
D) 5 months
An accountant earns 6% simple interest. You want to find the interest earned on $200 after 8 months.
Answer:
The interest is $12
Step-by-step explanation:
You just put the percent in a decimal form(6%-0.06)Then you multiply 200 with 0.06. And the answer you get is the interest
Hope that helps :)
what expression is equivalent to 3/5x + 2/5 + 3/5x
Answer: 3/5x+2/5+3/5x= 1.6
You drive a car that runs on ethanol and gas. You have a 20 gallon tank to fill and you can buy fuel that is either 25% or 85% ethanol. How much of each fuel should you buy to have 50% ethanol in the tank? Will give brainliest!!!!!!!!!!!!!!!!!!
Answer:
11.67 gallons of 25% and 8.33 gallons of 85%Step-by-step explanation:
Let the volume of 25% ethanol be x, then volume of 85% ethanol will be (20 - x)
The ethanol content is:
0.25x + 0.85(20 - x) = 20*0.50.25x + 17 - 0.85x = 10-0.6x = 10 - 17-0.6x = -7x = 7/0.6x = 11.6711.67 gallons of 25% ethanol and
20 - 11.67 = 8.33 gallons of 85% ethanol
what is the unit rate if 12 inches of snow in 3 hours?
Answer:
4 inches of snow has fallen rate per hour
therefore the unit rate is 4 inches of snow per hr.
Step-by-step explanation:
Answer:
4 per hour
Step-by-step explanation:
because 12 divided by 3 is 4
Matrices C and D are shown below C= 2 1 0 0 3 4 0 2 1 D= a b -0.4 0 -0.2 0.8 0 0.4 -0.6 what values of a and b will make the equation CD = l true?
The question is incomplete. Here is the complete question
Matrices C and D are shown below:
[tex]C=\left[\begin{array}{ccc}2&1&0\\0&3&4\\0&2&1\end{array}\right][/tex] [tex]D=\left[\begin{array}{ccc}a&b&-0.4\\0&-0.2&0.8\\0&0.4&-0.6\end{array}\right][/tex]
What values of a and b will make the equation CD = I true?
(i) a = 0.5
b = 0.1
(ii) a = 0.1
b = 0.5
(iii) a = -0.5
b = -0.1
Answer: (i) a = 0.5
b = 0.1
Step-by-step explanation: Identity Matrix (I) is a n x n square matrix with the number 1 on the main diagonal and 0 everywhere else.
The question asks for multiplication of matrices, i.e.:
[tex]\left[\begin{array}{ccc}2&1&0\\0&3&4\\0&2&1\end{array}\right][/tex] . [tex]\left[\begin{array}{ccc}a&b&-0.4\\0&-0.2&0.8\\0&0.4&-0.6\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right][/tex]
To multiply matrices, the number of columns of the 1st matrix must be the same as the number of rows of the 2nd.
Matrix C is a 3x3 square matrix and so is matrix D, so, values of a and b:
[tex]2a=1[/tex] [tex]2b-0.2=0[/tex]
[tex]a=\frac{1}{2}[/tex] [tex]2b=0.2[/tex]
a = 0.5 [tex]b=0.1[/tex]
For the equation CD=I be true, a and b has to be 0.5 and 0.1, respectively.
Make t the subject of the formula.
u = v+ 2t
9514 1404 393
Answer:
t = (u -v)/2
Step-by-step explanation:
Observe what is done to t:
multiplied by 2v added to the productUndo these operations, starting with the last one and working up the list.
[tex]u = v+2t \qquad\text{given}\\\\u-v=2t \qquad\text{undo addition by subtracting $v$}\\\\\dfrac{u-v}{2}=t \qquad\text{undo multiplication by dividing by 2}\\\\\boxed{t=\dfrac{u-v}{2}}[/tex]
Answer:
[tex]u = v + 2t \\ u - v = 2t \\ t = \frac{(u - v)}{2} [/tex]
t=(u-v)/2 is the right answer.Simplify. 32 + 1 x 2 (1).8 (2).20 (3).14 (4).11
Answer:
31.11
Step-by-step explanation:
simplify the expression
Please SHOW WORK I need help
x⁶
look at the picture
l hope that's help you
Which graph represents a function with direct variation
Answer:
WHere are the graphs
Step-by-step explanation:
:)
An angle measures 10° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
50º & 40º
Step-by-step explanation:
complementary anlges add up to 90º. so, we can make an equation:
x+x-10=90
2x=100
x=50
so the angles are 50º and 40º.
Solve the system of equations below by elimination.
(Show your work)
x+2y=−4
x+y=2
Are these triangles similar?
Answer:
Not similar, one has 4 sides
Step-by-step explanation:
Expand and simplify ([tex]2x^{2}[/tex]+3)(4x+5)-8x([tex]x^{2}[/tex]-2)
Answer:
2x(5x + 14) + 15
Step-by-step explanation:
Given: (2[tex]x^{2}[/tex] + 3)(4x + 5) - 8x([tex]x^{2}[/tex] - 2)
(2[tex]x^{2}[/tex] + 3)(4x + 5) - 8x([tex]x^{2}[/tex] - 2) = 2[tex]x^{2}[/tex](4x + 5) + 3(4x + 5) - 8x([tex]x^{2}[/tex] - 2)
= (8[tex]x^{3}[/tex] + 10[tex]x^{2}[/tex] + 12x + 15) - 8[tex]x^{3}[/tex] + 16x
= 8[tex]x^{3}[/tex] + 10[tex]x^{2}[/tex] + 12x + 15 - 8[tex]x^{3}[/tex] + 16x
collecting like terms to have,
8[tex]x^{3}[/tex]- 8[tex]x^{3}[/tex] + 10[tex]x^{2}[/tex] + 12x + 16x + 15
10[tex]x^{2}[/tex] + 28x + 15
Thus,
(2[tex]x^{2}[/tex] + 3)(4x + 5) - 8x([tex]x^{2}[/tex] - 2) = 10[tex]x^{2}[/tex] + 28x + 15
= 2x(5x + 14) + 15
y=x+3
y=x-3
Solve these equations
Answer:
what is x?
Step-by-step explanation:
Answer:
No solutions
Step-by-step explanation:
A student says that the equation y = 4x + 2 can be written in standard form as 4x − y = 2. Is the student correct?
Answer: I think so
Step-by-step explanation:
PLEASE HURRY THIS IS TIMED
Answer:
Plot a point on (0,1). Then count upwards by 9, and over to the right by 1. Then you're done!
Step-by-step explanation:
Hope this helps! <3
Please help with math! I'm getting pretty confused about solving each system of equations by graphing. Any answers to this?
y = x + 3 , y = 4x - 3
Answer: x= 2, y= 5
Step-by-step explanation:
PLEASE Help me...I'd really appreciate it
put (your aunt’s age a minus 25) in a algebraic expression
Answer:
Step-by-step explanation:
28 - 25 = 3
I neeeeeeddddd helppppppppppppppp
is this right?
Answer:
no the answer is 7.....
Answer:7
Step-by-step explanation:
27 divided by 3 is 9.
so
21 divided by 3 will give u the answer which is 7.
Simplify:
-(7x-9)
PLEASE HELP ASAP
Answer:
-7x+9
Step-by-step explanation:
All you are doing is distributing the negative
The equation should now be -7x+9 ( a negative times a negative is always positive)
A department store sells a pair of shoes with an 56.3% markup. If the store bought the pair of shoes for $43.75, what is the selling price to the nearest cent?
Answer:
The selling price for the shoes will be $68.35
Step-by-step explanation:
Need this ASAP please...
Answer:
I think x might be 2 i don't know...
Step-by-step explanation:
John is buying toy cars. If each car is 0.35 cents, how many cars can John buy with 1,000 dollars?
Answer:
He can buy 2857 cars.
Step-by-step explanation:
In order to find the amount he can buy, you need to divide 1,000/.35. This equals 2857.14 but because you cannot buy .14 of a toy car, you round down to 2857 which is the end answer. Hope this helps :)
Answer: 2857 cars
Step-by-step explanation:
PLEASE HELP !?
The chess club at a school has 15 members. The number of games won in tournament play this season by each member is listed. What measure of center is most appropriate to use to describe a typical value for the data in this distribution? Explain your reasoning.
Median
Step-by-step explanation:
Tomic and Brooke make a game of shooting free throws. Each basket is worth 2 1/2 points. Each miss is worth −3/4 points. Out of 30 free throws, they make 16 baskets. What is the correct number of points that Tomic and Brooke scored?
Answer:
I did this on a test and got 29.5 points
Step-by-step explanation:
One lap around a track is ½ mile. It takes Bryan ⅛ hour to ride one lap. What is Bryan’s mile per hour?
Answer:
4 miles per hour
Step-by-step explanation:
Total miles = 1/2
Time taken = 1/8
Miles per hour = 1/2 ÷ 1/8
= 1/2 × 8/1
= 8/2
= 4 miles per hour
Bryan’s mile per hour = 4
4 miles per hour
Options:
• Line A
• Line B
• Line C
• Line D
I’ll give you brainlest!!
Answer:
line D
Step-by-step explanation:
An undefined slope is when the "run" of a line is zero, the line will be vertical. I hope this helps
