Let x equal the number of tiny book boxes and y equal the number of large book boxes.
Because John must pack at least 35 boxes:
(number of tiny book boxes) + (number of large book boxes) = (at least) 35
x + y ≥ 35
Since John needs to pack at least 350 books:
(number of small books packed) + (number of large books packed) (is at least) 350
(number of small books per box)(number of boxes of small books) + (number of large books per box)(number of boxes of small books) ≥ 350
15x + 8y ≥ 350
Your system of inequalities is:
x + y ≥ 35
15x + 8y ≥ 350
GO INTO DESMOS TO GRAPH
Read the word problem below.
Chan rows at a rate of eight miles per hour in still water. On Wednesday, it takes him three hours to row upstream from his house to the park. He rows back home, and it takes him two hours. What is the speed of the current?
Answer:
1 3/5 miles/hr
Step-by-step explanation:
Let C be the speed of the current
Let D be the distance between Chan's house and the park
We know that Distance, D, is = Speed x Time
-----
Chan's speed going upstream is (8 - C)mph.
That gives us:
D = (8-C)(3 hr)
Chan's speed going downstream is (8+C)mph
So we have:
D = (8+C)(2 hr)
We know that the d is the same for these two equations, so:
(8-C)(3 hr) = (8+C)(2 hr)
24 - 3C = 16 + 2C
5C = 8
C = (8/5) or 1 3/5 mph
Answer:
1.6 mph
Step-by-step explanation:
Distance, speed, and time are related by ...
distance = speed × time
We assume that the distances up and back are the same, so for a current speed of c, we have ...
3(8 -c) = 2(8 +c)
24 -3c = 16 +2c . . . eliminate parentheses
8 = 5c . . . . . . . . . . add 3c-16 to both sides
c = 8/5 = 1.6 . . . . . divide by 5
The speed of the current is 1.6 miles per hour.
Solve the system of equations.
4х – 3y = 12
3х + 6у = 42
Answer: B. (6,4)
Find x for the 2nd equation
3x + 6y = 42
3x = 42-6y
x= (42-6y) / 3
Place the value of x in the first equation and find for y then.
4x - 3y= 12
4{(42-6y)/3} - 3y = 12
So the answer for y is 4
Now, you know the value of y is 4.
4x - 3*4 = 12
4x - 12 = 12
x= 12+12 /4
x= 6
So x is 6 and y is 4. So the answer is B.
Which statement is true about the number −5? The number −5 is not a rational number because it cannot be written as a ratio of integers. The number −5 is not rational number because it is a negative integer. The number −5 is a rational number because it can be written as the fraction −51. The number −5 is a rational number because it can be written as the fraction −50.
Answer:
The number -5 is not a rational number because it is a negative integers.
Step-by-step explanation:
Hopes This Helps :)
Which number line and equation show how to find the distance from -2 to - 5?
Answer:
B
Step-by-step explanation:
If you're concerned with the points -2 and -5, you would be looking for a number line with those points plotted on it. The only one is ...
number line B
given:f(x)=3x-5,find f(x+2)
ans=3x+1
Step by step solution
=3(x+2)-5
=3x+6-5
=3x+1
15 more than the quotient of a number x and 12.
Answer:
(x/12)+15
Step-by-step explanation:
help please..
Select the correct image.
Given triangle A in the coordinate plane, which image shows a dilation of triangle A by a factor of 2 centered at the origin?
Answer:
C
Step-by-step explanation:
C because each point is twice as far from the origin
Answer:
c
Step-by-step explanation:
what is the term to term rule for 2 6 18 54 162
Answer:
It's always × by 3
Step-by-step explanation:
2×3=6
6×3=18
18×3=54
54×3=162
Y=-3x+1 y+5=-3(x-2) what do the following two equations represent A)The same line B)Distinct parallel lines C)Perpendicular Lines D)Intersecting, but not perpendicular lines
Answer:
C) perpendicular lines
HELP ME PLEASE..!!!!!! Thank youuuuuu…
Answer:
22
Step-by-step explanation:
2x+x-2=2x+9
3x-2=2x+9
x-2=9
x=11
MN=2x
MN=2(11)
MN=22
45 + 30 = 100 - w
Answer correctly luvs
Answer:
the answer is 25
Step-by-step explanation:
45+30=100-w
then your going to subtract 45 on both sides. So 100-45 is 55.
so now your equation looks like this
30 = 55 - w
subtract 55 on both sides so you will have -25 = -w. Then your going to divide -w on both sides and you will have positive 25
i hope thus helps
In a sale, a clothes shop reduces its prices by 30%.
A shirt usually costs $24.
How much is it in the sale?
Answer:
$16.80
Step-by-step explanation:
30% of 24 and the answer is subtracted from $24
HEYY CAN U HELP PLS NO WRONG ANSWERRS
Part C
For similar triangles, the side lengths are proportional. So, you can write a proportion relating the two pairs of vertical and horizontal side lengths. For the line y = 2x, a triangle can be drawn 2 units up and 1 unit right from the origin.
Part F
Solve the equation from Part C so that y is by itself on one side of the equation. How are this equation and the equation of the line related? What does this relationship mean about any triangle created using this line?
this is part C
Answer:
y t
_ = _
2 1
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
The corresponding vertical sides are y and 2
The corresponding horizontal lines are x and 1
so
The proportion is equal to
4200 in the scientific notation.
Answer:
4.2*10^3
Hope This Helps!!!
Answer:
The answer is 4.2×10^3
Step-by-step explanation:
To convert 4200 into scientific notation, follow these steps:
- Move the decimal 3 times to left in the number so that the resulting number, m = 4.2, is greater than or equal to 1 but less than 10
- Since we moved the decimal to the left the exponent n is positive
n = 3
- Write in the scientific notation form, m × 10^n
= 4.2 × 10^3
Therefore, the decimal number 4200 written in scientific notation is 4.2 × 10^3 and it has 2 significant figures.
What is 1.3742 rounded to the nearest tenth?
Answer:
1.4 that is the true answer
Step-by-step explanation:
go to the place right after the decimal and then look at the number next to it.if it is greater the 5 it goes up to 1.4 and it is
PLEASE HELP ME WITH THIS I WILL MARK BRAIINLIST!!
Answer:
10
Step-by-step explanation:
First solve for x. HI = 2x, IJ = 4x - 10, and the whole length HJ = 4x.
So 2x + 4x - 10 = 4x.
6x - 10 = 4x
6x - 4x - 10 = 4x - 4x
2x - 10 = 0
2x - 10 + 10 = 0 + 10
2x = 10
x = 5.
IJ is 4x - 10, so it becomes 4(5) - 10
20 - 10 = 10
need help with this question please
(1/5 x 5) to the 5th power =
Answer:
1
Step-by-step explanation:
According to the rule of PEMDAS, we must perform parentheses before exponents.
1/5 x 5 = 1
1 to the power of anything is still 1, so that is the answer.
frEE po ints
Lets say you own a ferret store and you have 20,female ferrets worth $400 and 2, male ferrets worth 350 dollar ferrets. you sell 1male ferret and 8 female ferrets how much money do you get from the sellings?
pt.b
your store gets robbed and you loose 800 dollars worth of female ferrets and 350bucks worth of male ferrets how many ferrets do you have in still have in toatal?
Answer:
Part A, 3550$
Part B, Ten female ferrets left
Step-by-step explanation:
A ___ equation is a second-degree equation of the form ax^2+bx+c=0 where a ≠ 0
Answer:
A quadratic equation is second degree equation with the standard form ax^2+bx+c=0 as the highest power is 2.
__________________.
esterday 5% of the 120 sixth graders at school were late. How many sixth graders were late?
Answer:6 six graders were late. 10% would be 12, and half of that is 6. You need to divide that in half because 5 is half of 10.
Answer:
6 sixth graders at school where late
Step-by-step explanation:
5% = 0.05
0.05(120) = 6
Evaluate this -4-12/(-4)?
Answer:
4
Step-by-step explanation:
She received 900 beads, and 10% of them were green. How many green beads did Liz receive?
Therefore, Liz received about 90 beads that were green.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
Answer:
90
Step-by-step explanation:
10 is 10% of 100 so then 10 times 9 = 90.
solve similar triangles (advanced)
Answer:
1
Step-by-step explanation:
They are similar triangles and ED and AD are 9 so CB and AB must be 1.
KEEP GETTING BOTTED! Work out. the area of a circle of radius 7cm. Give your answer in terms of pi
Step-By-Step would be appreciated!
Answer:
49π cm²
Step-by-step explanation:
[tex]A=\pi r^2[/tex]
[tex]A=\pi (7)^2[/tex]
[tex]A=49\pi[/tex]
Therefore, the area of a circle of radius 7 is 49π cm²
Hello there! :-)
The formula for calculating the area of a circle is
A=πr²
A=π(7)²
Notice that only the radius is squared.
A=π(49)
A=154 cm
Hope this helps!
Use the comment section to clarify your doubts.
Answered by
~A teen who helps others with joy and listens to her favourite music
#LetItSnow
Good luck with your studies. :-)
last month nick spent $50 this month he spent 60% of last month how much did nick spend
Answer:
Nick spent $30.00.
Step-by-step explanation:
60% of $50.00
60% ÷ 100 = 0.6
0.6 x 50 = 30
Answer:
30$Step-by-step explanation:
last month nick spent $50 this month he spent 60% of last month how much did nick spend?
50 : 100 * 60 =
0.5 * 60 = 30$
please show work
10. If the area of a parallelogram is 690.84 m2 and the height is 20.2 m, what is the length of the base?
Answer:
34.2 m
Step-by-step explanation:
We know that
Area of parallelogram = Base × Height
690.84 = B × 20.2
690.84/20.2 = B
34.2 = B
Hence,
Base of parallelogram is 34.2 m
[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]
Here we've been given:
Area of parallelogram (A) = 690.84 m²Height (H) = 20.2 m Length of base (B) = ?[tex]:\longrightarrow\tt{Area \: of \: parallelogram = Base \times Height} \\ \\ :\longrightarrow\tt{690.84 = B \times 20.2} \\ \\ :\longrightarrow\tt{ \frac{690.84}{20.2} = B} \\ \\ :\longrightarrow\tt{34.2 = B} \\ \\ :\longrightarrow\tt{B = 34.2 \: m}[/tex]
The length of base is 34.2m.PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS
Answer: y= (1/4)x
Step-by-step explanation: Best guess given screenshot, matched with desmos.
If
f (x) = -3x + 15
find:
f (x)
-6
Answer:
33
Step-by-step explanation:
f(-6) = -3(-6) + 15
= 18 + 15
= 33
PLEASE NO LINKS AND NO NEGATIVITY
I want help its urgent!!!
(iv), (v), (vi) Questions
Solution:
iv) Given equation: [tex]x^{2} - y^{2} - 4x - 2y + 3[/tex]
Since we are given two variables, we need to split the original expression into two quadratic expressions as
[tex]x^{2} - 4x + 4 - y^{2} - 2y - 1[/tex]
Factoring x first:
[tex]x^{2} - 4x + 4 =[/tex] [tex]x^{2} - 2x - 2x + 4[/tex]
= [tex]x (x - 2) - 2 (x-2)[/tex]
= [tex](x-2)(x-2)[/tex]
[tex]= (x-2)^{2}[/tex]
Factoring y now:
[tex]-y^{2} - 2y - 1 = -1(y^{2} + 2y + 1)[/tex]
= [tex]-1(y^{2} + y + y + 1)[/tex]
= [tex]-1[ y(y+1) + 1(y+1)][/tex]
= [tex]-1 [(y+1)(y+1)][/tex]
= [tex](y+1)(-y-1)[/tex]
Therefore, the original expression becomes
[tex](x-2)^{2}+(y+1)(-y-1)\\or \\(x-2)(x-2) + (y+1)(-y-1)[/tex]