Answer:
5 ≤ The number of packages Renna can remove
Step-by-step explanation:
The allowable mass on the elevator is given as 450 kg
The mass of Renna and the packages = 620 kg
The mass of each package = 37.4 kg
The mass Renna should remove from the elevator to meet the mass requirement = 620 - 450 = 170 kg
Therefore, the number of packages, n, Renna should remove can be found from the following inequality
170 ≤ n × 37.4
We note that since the mass of the packages are known, 5 packages weigh 187 kg which is > 170 kg
Therefore, the number of packages to be removed is 170 ≤ n × 37.4 < 187
Dividing by 37.4, we get;
Number of packages to be removed = 4.55 ≤ n < 5 ≈ 5 packages
Given that there whole number packages, we have;
5 ≤ n, which is , 5 ≤ The number of packages Renna can remove.
Answer:
37.4p ≥ 170
Step-by-step explanation:
5 are in total packages.
Trust me this is the answer because I did this before
Hope this helps ;)
A 40 ft board is cut into two pieces so that one piece is 8 ft longer than the other piece. Find the length of the two pieces
Answer:
16 and 24 ft
Step-by-step explanation:
If we call the length of one piece x, the length of the other piece is x + 8, therefore, we can write the following equation:
x + x + 8 = 40
2x + 8 = 40
2x = 32
x = 16 so x + 8 = 16 + 8 = 24.
Answer:
24 and 16
Step-by-step explanation:
x + x+8=40
2x+8=40
2x=32
x=16
16 and 24
PLEASE help me solve this question! I really need to solve this question ASAP! No nonsense answers, and please attach the solution.
Answer:
{-0.5, 0.1}
Step-by-step explanation:
multiply the 8 on the left with x/x so you can write left hand as [tex]\frac{1-8x}{x}[/tex]cross multiply to get rid of the fractions: [tex]5x = (1-8x)(5x+2)[/tex]simplify into a regular quadratic equation: [tex]-20x^2 - 8x +1 =0[/tex]use the quadratic formula to get the answers:[tex]x = \frac{8 \pm \sqrt{(-8)^2 - 4 \cdot -20 \cdot 1}}{-40} = \frac{8 \pm 12}{-40}[/tex]
so x is 20/-40 = -0.5 or x = -4/-40 = 0.1
Can someone help fast please
Answer:
B
Step-by-step explanation:
Just reduce your x's and y's. The x^-1 cancels with the x^5, and the y^-9 and y^-3 get simplified. After some basic simplifying, you get answer B.
find tan(a) in the triangle
Answer:
tan (a) = 24/7Step-by-step explanation:
tan∅ = opposite / adjacent
From the question
AC is the adjacent
BC is the opposite
So we have
tan (a) = BC / AC
tan (a) = 24/7
Hope this helps you
Write as an algebraic expression and simplify if possible:
100% of x
What is the answer?
Answer: simplified algebraic expression : x
Step-by-step explanation:
The given phrase : 100 % of x
We can write 100 as 1 because 100% means complete or entire part.
Also, replace 'of' by '×' (Multiply sign).
So, the given phrase will become
1 × x [Algebraic expression]
= x [Simplified]
hence, the simplified algebraic expression is 'x'.
a subway train with 47 people stops at a station and picks up 20 more people at the same station p people get off. there are 52 people left on the train. which equation shows how to find the value of p
Answer:
67 - p = 52
Step-by-step explanation:
the train starts with 47 people: 47
it picks up 20 more: 47 + 20 = 67
p people get off: 67 - p
52 people are left on train: 67 - p = 52
What is the probability that both of Eduardo's partners for the group project will be girls? StartFraction 9 Over 65 EndFraction StartFraction 24 Over 65 EndFraction StartFraction 64 Over 169 EndFraction StartFraction 128 Over 325 EndFraction
Answer:
StartFraction 24 Over 65 EndFraction
Step-by-step explanation:
Total number of students = 26
Number of boys = 10
Number of girls = 26-10
=16
Eduardo has to pull two names out of the hat without replacing them.
First name
Probability= Favourable outcome/Total outcome
Probability of girls=16
Total probability=26
Eduardo has to pull two names out of the hat without replacing them.
Probability= Favourable outcome/Total outcome
=16/26
=8/13
For the second name:
Without replacement of the first hat
Probability of girls=16-1=15
Total probability=26-1=25
Probability= Favourable outcome/Total outcome
=15/25
=3/5
Probability of both of Eduardo's partner for the group project will be girls=8/13*3/5
=24/65
StartFraction 24 Over 65 EndFraction
Answer:
B.) 24/65
Step-by-step explanation:
Took the test
Please answer it now in two minutes
Answer:
0.9
Step-by-step explanation:
This is a sine triangle. We have the hypotenuse (7) and an angle opposite of x (6). The formula for sine is opposite/hypotenuse; 6/7 = 0.8571428571428571. This, rounded to the nearest tenth, is 0.9.
Answer:
59 degrees
Step-by-step explanation:
Sin = opposite / hypotenuse
In this case sin is 6/7
To find the angle of this we need to use the arcsin, or sin^-1 function
Arcsin(6/7) = 58.9972809 degrees
This gets rounded to 59 degrees
HELP!
Andrea has a $25 gift card
to a art store. She buys four canvases that are each the same price. If she now has $2.20 on her gift card, what was the price of each canvas?
Answer:
$5.70
Step-by-step explanation:
1. 25.00 - 2.20 = $22.80
2. 22.80 divided by 4 = $5.70
Answer:
$5.70
Step-by-step explanation:
let the price for each canvas be $x
hence the price of 4 canvases will be $4x
It is given that after she paid for 4 canvases, she had a balance of $2.20 on her orginally $25 gift card.
Hence we can assemble an equation:
$4x + $2.20 = $25
4x + 2.2 = 25 (subtract 2.2 from both sides)
4x = 25 - 2.2
4x =22.8 (divide both sides by 4)
x = 22.8 / 4
x = 5.7
Hence each canvas cost $5.70
Drag the tiles to the correct boxes. Not all tiles will be used. Consider the following function: f(x) = -3/4x+9. Place the steps for finding f^-1(x) in the correct order.
Answer:
The steps include:
1. y = –3/4x + 9
2. x = –3/4y + 9
3. x – 9 = –3/4y
4. –4/3(x – 9) = y
5. y = –4/3x + 12
6. f¯¹(x) = –4/3x + 12
Step-by-step explanation:
f(x) = –3/4x + 9
The inverse, f¯¹(x) of the above expression can be obtained as follow:
f(x) = –3/4x + 9
Let y = f(x)
y = –3/4x + 9
Interchange x and y
x = –3/4y + 9
Making y the subject of the expression, we have:
x = –3/4y + 9
Rearrange
x – 9 = –3/4y
Cross multiply
4(x – 9) = –3y
Divide both side by –3
–4/3(x – 9) = y
Clear bracket
y = –4/3x + 12
Replace y with f¯¹(x)
f¯¹(x) = –4/3x + 12
Therefore, the steps include:
1. y = –3/4x + 9
2. x = –3/4y + 9
3. x – 9 = –3/4y
4. –4/3(x – 9) = y
5. y = –4/3x + 12
6. f¯¹(x) = –4/3x + 12
Answer:
1. y = –3/4x + 9
2. x = –3/4y + 9
3. x – 9 = –3/4y
4. –4/3(x – 9) = y
5. y = –4/3x + 12
6. f¯¹(x) = –4/3x + 12
Step-by-step explanation:
f(x) = –3/4x + 9
The inverse, f¯¹(x) of the above expression can be obtained as follow:
f(x) = –3/4x + 9
Let y = f(x)
y = –3/4x + 9
Interchange x and y
x = –3/4y + 9
Making y the subject of the expression, we have:
x = –3/4y + 9
Rearrange
x – 9 = –3/4y
Cross multiply
4(x – 9) = –3y
Divide both side by –3
–4/3(x – 9) = y
Clear bracket
y = –4/3x + 12
Replace y with f¯¹(x)
f¯¹(x) = –4/3x + 12
Therefore, the steps include:
1. y = –3/4x + 9
2. x = –3/4y + 9
3. x – 9 = –3/4y
4. –4/3(x – 9) = y
5. y = –4/3x + 12
6. f¯¹(x) = –4/3x + 12
Step-by-step explanation:
Find the length of AB , given A(5,-2) and B(-3,-4)
Answer:
sqrt(68) is the length.
Step-by-step explanation:
For this you will use the distance formula, sqrt((x2-x1)^2+(y2-y1)^2)
So for this it is sqrt((5+3)^2+(-2+4)^2)
sqrt(64+4)
sqrt(68)
8.246
did this several times but still didn't get the answer .pls do try this :)
Answer:
x=-15/2 and x=1
x=6 and x=3/4
Step-by-step explanation:
You have the following equations:
[tex]\frac{4x-3}{x+2}=\frac{2x}{x+5}[/tex]
[tex]\frac{2}{x-2}+\frac{3}{x}-\frac{9}{x+3}[/tex]
To solve both equations you can first multiply by the m.c.m of the denominators, and then solve for x, just as follow:
first equation:
[tex][\frac{4x-3}{x+2}=\frac{2x}{x+5}](x+2)(x+5)\\\\(4x-3)(x+5)=2x(x+2)\\\\4x(x)+4x(5)-3(x)-3(5)=2x(x)+2x(2)\\\\4x^2+20x-3x-15=2x^2+4x\\\\4x^2-2x^2+20x-3x-4x-15=0\\\\2x^2+13x-15=0[/tex]
In this case you use the quadratic formula:
[tex]x_{1,2}=\frac{-13\pm \sqrt{(13)^2-4(2)(-15)}}{2(2)}\\\\x_{1,2}=\frac{-13 \pm 17}{4}\\\\x_1=-\frac{15}{2}\\\\x_2=1[/tex]
Then, for the first equation the solutions are x=-15/2 and x=1
second equation:
[tex][\frac{2}{x-2}+\frac{3}{x}=\frac{9}{x+3}]x(x-2)(x+3)\\\\2x(x+3)+3(x-2)(x+3)=9x(x-2)\\\\2x^2+6x+3(x^2+3x-2x-6)=9x^2-18x\\\\2x^2+6x+3(x^2+x-6)=9x^2-18x\\\\2x^2+6x+3x^2+3x-18-9x^2+18x=0\\\\-4x^2+27x-18=0[/tex]
Again, you use the quadratic formula:
[tex]x_{1,2}=\frac{-27\pm \sqrt{(27)^2-4(-4)(-18)}}{2(-4)}\\\\x_{1,2}=\frac{-27\pm 21}{-8}\\\\x_1=6\\\\x_2=\frac{3}{4}[/tex]
Then, the solutions for the second equation are x=6 and x=3/4
248 miles per hour = x meters per second. Round to the nearest hundredth.
Answer:
110.87 m/sStep-by-step explanation:
This problem is based on unit conversion from miles per hour to meter per second.'
From tables 1 mph= 0.44704 m/s
Given 248 mph to be converted to meters per second.
hence we have
1 mph= 0.44704 m/s
248 mph= x
cross multiplying we have
x= 110.86592 m/s
to the nearest hundreth we have
110.87 m/s
What is 30% of 80? show two strategies for solving this problem
by both directly multiplying 0.3(80) AND setting up equivalent ratios and solving with cross products
30/100= x/80. You
must show all of your work!
Answer:
24
Step-by-step explanation:
30/100=x/80
cross multiply:
100x=2400
divide by 100:
x=24
Not quite sure how you want me to explain the other way step by step... Hope this helps!
80*.3=24
find the reciprocal of.
Answer:
a) 3/1 that is 3
b) 8/7
c) the mixed fraction is converted into simple fraction: 3*2+2/3 = 8/3
therefore the reciprocal is 3/8
d) 1/5
e) the mixed fraction is converted into simple fraction: 6*6+1/6 = 37/6
therefore the reciprocal is 6/37.
plz mark my ans as branlliest and like it upvote it
plz follow me and in return i wil also follow you.
Answer:
a. [tex]3[/tex]
b. [tex] \frac{8}{7} [/tex]
c. [tex] \frac{3}{8} [/tex]
d. [tex] \frac{1}{5} [/tex]
e. [tex] \frac{6}{37} [/tex]
Step-by-step explanation:
a. [tex] \frac{1}{3} [/tex]
Just flip the fraction , you will get:
[tex] = \frac{3}{1} [/tex]
[tex] = 3[/tex]
b. [tex] \frac{7}{8} [/tex]
flip the fraction
[tex] = \frac{8}{7} [/tex]
c. [tex]2 \frac{2}{3} [/tex]
The first thing you have to do is that convert mixed fraction into improper fraction
[tex] \frac{8}{3} [/tex]
Flip the fraction
[tex] = \frac{3}{8} [/tex]
d. [tex]5[/tex]
flip the fraction
[tex] = \frac{1}{5} [/tex]
e. [tex]6 \frac{1}{6} [/tex]
Convert mixed fraction into improper fraction
[tex] = \frac{37}{6} [/tex]
Flip the fraction in order to get reciprocal
[tex] = \frac{6}{37} [/tex]
Hope this helps...
Best regards!!
A supermarket sells fruit snacks by the box. Each box holds x packages of strawberry snacks and y packages of cherry snacks. Nina bought 6
boxes.
Write two expressions for how many more strawberry packages than cherry packages Nina bought. Then, write what the two expressions
being equivalent means in terms of the situation.
( PLZ I NEED HELP WITH THIS !)
Answer:
The two equivalent expressions are 6(x − y) and 6x − 6y.
Step-by-step explanation:
The first expression shows subtracting the number of packages of cherry snacks from the number of packages of strawberry snacks in each box and then multiplying the difference by the number of boxes. That's the same as finding the total number of cherry snacks and subtracting it from the total number of strawberry snacks, as shown in the second expression.
Have a good day!<3
The two equivalent expressions means in terms of the situation are 6(x − y) and 6x − 6y.
What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
The first expression shows subtracting the number of packages of cherry snacks from the number of packages of strawberry snacks in each box and then multiplying the difference by the number of boxes then it will be as;
6(x-y)
Now, the total number of cherry snacks and subtracting it from the total number of strawberry snacks, as shown in the second expression will be;
6x - 6y
The two equivalent expressions means in terms of the situation are 6(x − y) and 6x − 6y.
Learn more about expression here;
https://brainly.com/question/14083225
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Find each product.
(X3+2x2)x4
PLEASE HELP!!! ASAP!!!
Answer:
4x^3+8x^2
Step-by-step explanation:
Multiply each term:
4x^3+8x^2
PLZ MARK ME BRAINLIEST
Simplify $\dfrac{1}{\sqrt2+1}+\dfrac{1}{\sqrt2-1}.$
Answer:
2√2
Step-by-step explanation:
By simplifying we get the value is [tex]2\sqrt{2}[/tex]
What is expression ?The combination in which numbers, variables, functions are present, is called expression.
Example : 6y-3x+2, 2y-3 etc.
What is the simplified form of the expression ?
The given expression is [tex]\frac{1}{\sqrt{2}+1 } +\frac{1}{\sqrt{2}-1 }[/tex]
Simplifying,
First we take the LCM of [tex]\sqrt{2}+1[/tex] & [tex]\sqrt{2}-1[/tex]
Then expression becomes, [tex]\frac{(\sqrt{2}-1)-(\sqrt{2}+1) }{(\sqrt{2}+1)(\sqrt{2}-1)}[/tex]
Now, using [tex](a+b)(a-b)=a^{2}- b^{2}[/tex] we get, [tex]\frac{\sqrt{2}-1+\sqrt{2}+1 }{(\sqrt{2}) ^{2} - 1^{2} }[/tex]
Now, simplifying, we get, [tex]\frac{2\sqrt{2} }{2-1}[/tex] = [tex]2\sqrt{2}[/tex]
Learn more about expression here :
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3 over 3 fourths divided by 5 over 7
Answer:
5.6
Step-by-step explanation:
(3÷3/4)÷5/7
[tex] \frac{3 \times 4}{3} \div \frac{5}{7} [/tex]
[tex]4 \div \frac{5}{7} [/tex]
[tex]4 \times \frac{7}{5} [/tex]
[tex] \frac{28}{5} [/tex]
=5.6
use "keep, change, flip " when dividing a number by a fraction.
keep the whole number
flip the divide sign to multiply
change the placement of number e.g. 5/7 becomes 7/8
then solve
If the measure of arc GH= 90° and the measure of arc EF= 45°, calculate m∠GDH.
Answer:
∠ GDH = 67.5°
Step-by-step explanation:
The measure of the chord- chord angle GDH is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.
∠ GDH = [tex]\frac{1}{2}[/tex](GH + EF) = [tex]\frac{1}{2}[/tex] (90 + 45)° = 0.5 × 135° = 67.5°
Help :(
Yun was trying to factor 7x^2- 14x. He found that the greatest common factor of these terms was 7x and made an area model:
What is the width of Yun's area model?
Answer:
If the question is saying that length is 7x, then the answer (width) is x-2
It is believed that 30% of the people in Washington state want cell phone use banned in cafes. The CEO of a major coffehouse chain in Seattle wonders whether the opinion of the people who go to her cafes is different from the overall population. She hires a polling agency to investigate this issue. In a random sample of 1450 individuals, 474 people have the same opinion as the overall population. What is the p-value?
Answer:
The p-value is 0.025
Step-by-step explanation:
Given that:
30% of the people in Washington state want cell phone use banned in cafes
sample size N = 1450
X = 474 people have the same opinion.
The objective is to calculate the p-value.
Let's assume the level of significance = 5% = 0.05
From the information given ; the null and alternative hypothesis can be computed as:
[tex]\mathbf{H_o: p = 0.30 } \\ \\ \mathbf{H_a: p \neq 0.30}}[/tex]
USING MINITAB; the simulation on what we compute on our MINITAB can be written as:
Test for p = 0.3 vs p not = 0.3
Sample X N Sample p 95 C.I Z-value P-value
1 474 1450 0.326897 (0.302752, 0.351041) 2.23 0.025
From what we have in our MINITAB Output;
Z - value = 2.23
P-Value = 0.025
PLEASE HELP BRAINLY - which option is correct?
Answer:
[tex]y > \frac{2x}{3} + 1[/tex]
Step-by-step explanation:
Given:
The graph in the attachment where the coordinates are (3,3) and (-3,-1)
Required:
Which inequality represent the graph
The first step is to determine the slope of the graph
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where m represents the slope, [tex](x_1, y_1) = (3,3)[/tex] and [tex](x_2, y_2) = (-3,-1)[/tex]
[tex]m = \frac{-1 - 3}{-3 - 3}[/tex]
[tex]m = \frac{-4}{-6}[/tex]
Simplify to lowest term
[tex]m = \frac{2}{3}[/tex]
Next is to determine the equation of the line using the slope formula
[tex]m = \frac{y - y_1}{x - x_1}[/tex], [tex](x_1, y_1) = (3,3)[/tex] and [tex]m = \frac{2}{3}[/tex]
[tex]\frac{2}{3} = \frac{y - 3}{x - 3}[/tex]
Cross multiply
[tex]2 * (x - 3) = 3 * (y - 3)[/tex]
Open both brackets
[tex]2 x - 6 = 3y -9[/tex]
Collect like terms
[tex]2 x - 6 +9= 3y[/tex]
[tex]2 x+3= 3y[/tex]
Divide through by 3
[tex]\frac{2x}{3} + \frac{3}{3} = \frac{3y}{3}[/tex]
[tex]\frac{2x}{3} + 1 = y[/tex]
Reorder
[tex]y = \frac{2x}{3} + 1[/tex]
Next is to determine the inequality sign
The dotted lines on the graph shows that the inequality sign is either > or <Since the shaded region is the upper part of the graph, then the > inequality sign will be considered,The inequality becomes
[tex]y > \frac{2x}{3} + 1[/tex]
Colin has a pad with x pieces of paper on it. For his first class, he wrote on 5 fewer than half of the pieces of paper in the pad. He used 2 more sheets in his second class than in his first. How many sheets are left for his third class? ill give brainliest to the first answer
Answer:
Colin has 8 sheets left for his third class.
Step-by-step explanation:
Given that:
Total Number of pieces of papers = [tex]x[/tex]
Number of pieces of papers used for 1st class = 5 fewer than half of the pieces in the pad
Writing the equation:
[tex]\text{Number of pieces of papers used for 1st class =} \dfrac{x}{2} -5 ...... (1)[/tex]
Also, Given that number of pieces of papers used for the 2nd class are 2 more than that of papers used in the 1st class.
[tex]\text{Number of pieces of papers used for 2nd class =} \dfrac{x}{2} -5+2 = \dfrac{x}2 -3 ...... (2)[/tex]
Now, number of pieces of papers left for the third class = Total number of pieces of papers in the pad - Number of pieces of papers used in the first class - Number of pieces of papers used in the first class
[tex]\text{number of pieces of papers left for the third class = }x-(\dfrac{x}{2}-5)-(\dfrac{x}{2}-3)\\\Rightarrow x-\dfrac{x}2-\dfrac{x}2+5+3\\\Rightarrow x-x+5+3\\\Rightarrow 8[/tex]
So, the answer is:
Colin has 8 sheets left for his third class.
p=E/x+Y express x in terms of p,e and y
Answer:
x = E/(p - y)
Step-by-step explanation:
p - y = e/x
x(p-y) = e
x = e/(p-y)
Answer:
Hey there!
p=e/x+y
p-y=e/x
x(p-y)=e
x=e/(p-y)
Hope this helps :)
first correct answer gets best marks and it doesn't have to be long just a quick answer that's it
Answer:
see below
Step-by-step explanation:
-3.55 g≤ -28.4
Divide each side by -3.55, remembering to flip the inequality
-3.55 g/-3.55≥ -28.4/-3.55
g≥8
Closed circle at 8 and the line goes to the right
What is the average rate of change for this exponential function for the
interval from x = 2 to x = 4?
O A. -6
O B. -12
O C. 12
O 0.6
Answer:6 a p e x
Step-by-step explanation:
Multiply the polynomial
10. (3-2v)(2-5v)
11. (5x-4)(3x2+x-5)
Answer:
10) [tex]10v^2-19v+6[/tex]
11) [tex]15x^3-7x^2-29x+20[/tex]
Step-by-step explanation:
Well first let's make the box.
10)
Look at the image below ↓
[tex]10v^2-19v+6[/tex]
11)
Look at the image below ↓
[tex]15x^3-7x^2-29x+20[/tex]
Thus,
number 10 is [tex]10v^2-19v+6[/tex] and number 11 is [tex]15x^3-7x^2-29x+20[/tex].
Hope this helps :)
Help I will mark brainliest
Answer:
A.{7}^{15}
[tex]4.7475615 {}^{12}[/tex]
Step-by-step explanation:
[tex]( {7}^{5} ) {}^{3} = {7}^{5} =(16807) {}^{3}=4.7475615 {}^{12} [/tex]
Hope this helps ;) ❤❤❤
how to do this question plz answer me step by step plzz
Answer:
30, 85, 95, 150
Step-by-step explanation:
The angles of a quadrilateral add to 360
Let x be the smallest angle
x+55
x+65
x+120 are the other three angles
Add the 4 angles together and they sum to 360
x+x+55 x+65+ x+120 = 360
Combine like terms
4x+240 = 360
Subtract 240 from each side
4x+240-240 = 360 -240
4x = 120
Divide by 4
4x/4 = 120/4
x = 30
x+55= 30+55 = 85
x+65 = 30+65 = 95
x+120 = 30+120 = 150