Answer:
Expression for the number of tiles Bruce used: 5x+2
Expression for the number of tiles Felicia used: 5x+5
Step-by-step explanation:
First want you'll want to do is translate the question into something easily understood. So for Bruce, we know that he bought three boxes with the same number of tiles in each, so 3, then he had to buy three more, another 3, but didn't finish the last box only using two, 2. So, we know he completely used the first 3 he bought then 2 of the 3 more boxes he bought.
For boxes completely used we can show it like this: 3+2=5 or 5x to represent the not known number of tiles in each box. Now we have to include the last box he bought, but he only used two tiles out of the whole box so it wouldn't be added to the same number as the other five (so not 6x).
To represent those last two tiles we can simply add +2.
Now putting it all together we get 5x+2
5x is the number of boxes multiplied by unknown number of tiles. so 5x=tiles in 5 boxes. and the 2 is those two tiles that were taken out of the last box.
For Felicia we go through the same process. We know she bought five boxes with the same number of tiles that Bruce had, 5, then bought five more individual tiles (not in a box), 5.
Not too much to do, so we know she got 5 boxes, so now we add our variable to represent the tiles in the boxes. so that 5 becomes 5x. Now with like we did with the two tiles Bruce only used, we do not add the 5 additional tiles into that number (so not 10x).
Because those were individual tiles they are simply 5.
Putting the whole thing together we get 5x+5
You pull horizontally on a 50-kg crate with a force of 450 n and the friction force on the crate is 250 n. the acceleration of the crate is
Hello AljakeVillena!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
You pull horizontally on a 50-kg crate with a force of 450 n and the friction force on the crate is 250 n. the acceleration of the crate is ?
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
Given,
mass of crate = 50 kgForce you pull it with = 450 NFrictional force = 250 NAcceleration = ?__________________
Let's first find the total force/net force acting on the crate. The total force will be :-
450 N - 250 N = 200 N.We subtracted the forces because both the forces act on opposite directions.
__________________
Now, let's find the acceleration of the crate. To find the acceleration we must divide the net force by the mass. So,..
Acceleration = Force/massa = F/ma = 200/50a = 4 m/s²__________________
So, the acceleration of the crate is 4 m/s².
__________________
Hope it'll help you!
ℓu¢αzz ッ
Force is mass times acceleration for linear motion. The acceleration of the crate in considered situation is 4 N/kg
How to calculate the acceleration from mass and force given?If net force is applied on an object of mass "m" in linear direction, with magnitude F, then, acceleration of that object is:
[tex]a = \dfrac{\rm F}{\rm m} \: \rm[/tex]
(assuming one dimensional motion, force is also in that dimension).
Here, it is given that crate's mass m = 50kg
Force pulling the crate = 450 N (positive since it is in direction of motion (horizontal)
Force resisting the crate = -250 N (negative since it is opposite to the direction of motion).
Net force on crate = 450 N + (-250 N ) = 200N (positive, thus, in the direction of motion).
Acceleration of the crate = 200/50 = 4 N/kg
Thus, the acceleration of the crate in considered situation is 4 N/kg
Learn more about acceleration here:
https://brainly.com/question/1046166
options of Answer
A) 10 bags of chips and 2 jars of salsa
B) 20 bags of chips and 2 jars of salsa
C) 14 bags of chips and 5 jars of salsa
D) 18 bags of chips and 6 jars of salsa
Answer:
D) 18 bags of chips and 6 jars of salsa
Step-by-step explanation:
Given : The networking organization you joined is throwing a party. You are in charge of buying the chips, which cost $2.50 per bag and salsa, which costs $4 per jar. The chips & salsa budget you are given totals $60.
Inequality: [tex]2.5x+4y[/tex] ≤ [tex]60[/tex]
Solution :
x represents chips
y represents salsa
Option a: 10 bags of chips and 2 jars of salsa
so, x = 10 and y =2
Putting values in inequality
[tex]2.5(10)+4(2)[/tex] ≤[tex]60[/tex]
[tex]25+8[/tex] ≤[tex]60[/tex]
[tex]33[/tex]≤[tex]60[/tex]
Hence it is correct.
Option c : 14 bags of chips and 5 jars of salsa
so, x = 14 and y =5
Putting values in inequality
[tex]2.5(10)+4(2)[/tex]≤[tex]60[/tex]
[tex]50+8[/tex]≤[tex]60[/tex]
[tex]58[/tex]≤[tex]60[/tex]
Hence it is correct.
Option c : 14 bags of chips and 5 jars of salsa
so, x = 14 and y =5
Putting values in inequality
[tex]2.5(14)+4(5)[/tex]≤[tex]60[/tex]
[tex]35+20[/tex]≤[tex]60[/tex]
[tex]55[/tex]≤[tex]60[/tex]
Hence it is correct.
Option d :18 bags of chips and 6 jars of salsa
so, x = 18 and y =6
Putting values in inequality
[tex]2.5(18)+4(6)[/tex]≤[tex]60[/tex]
[tex]45+24[/tex]≤[tex]60[/tex]
[tex]69\geq 60[/tex]
Hence it is not correct since it violates the inequality
Simplify the following fraction:
90/20
Answer:
9/2 simplified
and 4 1/2 as a mixed number
Answer:
Fraction: 9/2
Mixed: 4 1/2
Step-by-step explanation:
We do this by first finding the greatest common factor of 90 and 20, which is 10.
Then, we divide both 90 and 20 by the greatest common factor to get the following simplified fraction:
9/2
Therefore, this equation is true:
90/20 = 9/2
If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction.
9/2 = 4 1/2
Which shape does our galaxy have?(1 point)
circular
spiral
irregular
elliptical
Answer: spiral
Step-by-step explanation:
The shape that our galaxy have is : Spiral, because "Spiral-Structure" provides the Milky-Way its name. option (b) is correct.
Our galaxy, the Milky-Way, is classified as a spiral galaxy. Spiral-Galaxies are characterized by their distinct spiral arms that radiate from a central bulge. These arms contain stars, gas, dust, and other celestial objects.
The Milky-Way's spiral arms are home to a significant portion of its stars and are formed due to the gravitational interactions between different parts of the galaxy. This spiral structure gives the Milky-Way its name and appearance when observed from certain angles.
Spiral galaxies are one of the most common types of galaxies in the universe, and they play a crucial role in our understanding of cosmic structures.
Therefore, the correct option is (b).
Learn more about Galaxy here
https://brainly.com/question/32872198
#SPJ3
The given question is incomplete, the complete question is
Which shape does our galaxy have?
(a) circular
(b) spiral
(c) irregular
(d) elliptical.
Find the equation of the circle in standard form given the center, point or radius. Show your solution.
Center (-3,5) & Point (-2,1)
Answer:
(x + 3)^2 + (y - 5)^2 = 17
Step-by-step explanation:
To find the radius: distance from point (-2,1) to the center from point (-3,5).
d = sqrt [(-2 - -3)^2 + (1 -5)^2]
d = sqrt [(-2 + 3)^2 + (1 -5)^2]
d = sqrt (1)^2 + (-4)^2 = sqrt 17
Radius = sqrt 17
Equation of the circle:
(x - h)^2 + (y - k)^2 = r^2
h = 3, k = 5, r = sqrt 17
(x - -3)^2 + (y - 5)^2 = (sqrt 17)^2
(x + 3)^2 + (y - 5)^2 = 17
In triangle RST, mZR>m2S +mZT. Which must be true of triangle RST? Check all that apply.
OmZR > 90°
mZS + mZT< 90°
0 m2S = mZT
OmZR>mZT
OmZR>mZS
OmZS> mZT
Answer:
Step-by-step explanation:
1,2,4,5
The correct statements are,
m∠R > 90°
m∠S + m∠T < 90°
m∠R > m∠T
m∠R > m∠S
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Here, RST is a triangle,
Therefore,
m∠R + m∠S + m∠T = 180°
⇒ m∠S+m∠T = 180° - m∠R
Since, m∠R > m∠S + m∠T
⇒ - m∠R < - (m∠S + m∠T) (by multiplying-1 on both sides)
⇒ 180°- m∠R < 180° - (m∠S + m∠T) (by adding 180° on both sides)
⇒ m∠S+m∠T < 180° - (m∠S + m∠T)
⇒ m∠S+m∠T+ m∠S+m∠T < 180° ( by adding m∠S + m∠T on both sides)
⇒ 2(m∠S+m∠T) < 180°
⇒ m∠S+m∠T < 90°
⇒ m∠R > 90° ( because m∠R+m∠S+m∠T = 180° )
Again, m∠R > m∠S + m∠T
⇒ m∠R > m∠S and m∠R > m∠T
Thus, Option first second fourth and fifth are correct.
Since, m∠S = m∠T is only possible when m∠R=90° (but it is not given)
That is why m∠S = m∠T is not correct.
And, there are not enough information to prove m∠S > m∠T
That is why m∠S > m∠T is also incorrect.
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ7
George budgets $900 each month for fixed expenses. He nets $1720 semimonthly. What percent of his net monthly income does he budget for fixed expenses?
(Please help I'm VERY lost)
A. 52%
B. 26%
C. 30%
D. 25%
Answer:
B. 26%
Let say a month=30days
✓if ½ a month is 15 days
Then 30 days = 2(1720)
= $3440.00
% = (900÷3400)x100 =26%
please help me thanks
Answer:
18 crayon in both boxes.
Step-by-step explanation:
Asked: Greatest number of equal crayons in both boxes.
Facts:
Number of crayons in pack 1 = 24
Number of crayons in pack 2 = 12
Total crayons in both packs = 24 + 12 = 36
Plan:
If both packs need to have equal crayons, then it should be dived by 2.
Solution:
36 ÷ 2 = 18
Algerbra, pls answer fasttttttt
Answer:
Step-by-step explanation:
There is a raffle at a hockey game and 125 tickets are sold. Maris bought 3 tickets. What percent of the tickets
does Maris have?
Answer:
2.4%
Step-by-step explanation:
Answer:
2.4 percent
Step-by-step explanation:
Please helpppppppppppppppp
Answer:
29520728184915396206153835295
For brainily please help
What is the value of h?
h = 20
h = 35
h = 55
h = 70
Multiply (x + 1)^3
(x + 1)^3 = (x + 1)(x + 1)^2
= (x + 1)(x^2 + 2x + 1)
= x^3 +_____ x^2 +_____ x + _____
Step-by-step explanation:
Several years ago, Winston invested in some gold. Gold is currently valued at $546 per ounce, which is 30% more than Winston originally paid for it. What was the purchase price of the gold?
Answer:
420
Step-by-step explanation:
130/100x = 546
x=54600/130
x=5460/13
x=420
-6/1 x - 3/5 divided by -0.25
Answer:
-14.4
Step-by-step explanation:
-6x(-0.6)x(-4)= -14.4
[tex] - \frac{6(5 - 2x)}{5x} [/tex]
i hope its help
GIVING BRAINLIST!!! SHORT QUESTION PLS ANSWER
Answer:
Terms:4x, -2x
Coefficients:4, 2
Constant:3
what is the mathematical sum for the equation “1+1” ?
Answer:
2... i think
step by set explanation:
let (3x+24) represent the measure of a right angle. what are the possible values of x?
Answer:
x=22
Step-by-step explanation:
because 3x+24=90
3x=90-24
3x=66
x=22
brainlist please
Amir is making pizza dough using a base recipe. For each cup of water, Amir needs to use 2 2/3
cups of flour. For each cup of flour he uses, Amir needs to use 1 1/2
tablespoons of olive oil. If he uses 4 cups of water, how many tablespoons of olive oil will he need?
4 cups of water would need 16 tablespoons of olive oil.
Each cup of water uses 2 2/3 cups of flour, while each cup of flour he uses, Amir needs to use 1 1/2 tablespoons of olive oil. Hence for 4 cups of water:
4 cups of water = 2 2/3 cups of flour × 4 cups = 32/3 cups of flour
32/3 cups of flour = 1 1/2 tablespoons of olive oil * 32/3 = 16 tablespoons of olive oil
4 cups of water would need 16 tablespoons of olive oil.
Find out more at: https://brainly.com/question/17178834
1p
Oliver paid $21 for 6 t-shirts. Each shirt was the same price. What was the
cost of 1t-shirt?
$2.00
$2.50
$3.00
$3.50
Answer:
One t-shirt would cost $3.50
Step-by-step explanation:
$21 / 6 t-shirts = 3.50 each
Answer:
3.50
Step-by-step explanation:
6(2) = 12
6(2.50) = 15
6(3) = 18
6(3.50) = 21
If he paid $21 for 6 t-shirts and each t-shirt was the same price...then the cost of 1t-shirt was $3.50. If you want to double-check this, divide $21.00 by $3.50 and you should get 6 as the answer!
Find the y-intercept of the following equation. Simplify your answer.
y
=
–2
x
+
4
5
x = frac{−1}{2}y + frac{45}{2}
Answer:
y- intercept = [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x + [tex]\frac{4}{5}[/tex] ← is in slope- intercept form
with y- intercept c = [tex]\frac{4}{5}[/tex]
Vicky is a cook at a diner. Before the diner opened, she used 12 eggs to make a large frittata that will be sold by the slice. She will also use 3 eggs whenever someone orders an omelet. If Vicky uses a total of 39 eggs by the end of the day, how many omelets must have been ordered?
Write and solve an equation to find the answer.
1. Solve
2 -(3 -1)=6(1- )
Answer:
2 (-3 - 1) = 6 (-1)?? If thats the equation you were trying to type then the answer is: -8 = -6
Step-by-step explanation:
Find the slope of the line that passes through (1, 2) and (10, 10).
1. Find F(2) if f(x) = 8x+15/9x-3
2. Find the Domain of F(x) = x+8/x-7
3. R(x)= 8x+3/x^3 - 4x^2 + 3x
Answer:
thats a crazy question
Step-by-step explanation:
how the tables have turned
Answer:
8 + 4 = 12
Step-by-step explanation:
Brainyyyy
Pls help!!!!!!!!!!!!
Answer:
3. W=4, L=10
4. W=4, L=8
Step-by-step explanation:
3.
L = 3W-2
W = W
P = 2L + 2W
P = 2(3W-2)+2W
P=28
2(3W-2)+2W=28
8W-4=28
8W=32
W=4
L=3W-2, or 10
Check: 2(4)+2(10) = 28? Yes
4.
L=2W
W=W
P=24
2L+2W=24
2(2W)+2W=24
6W=24
W=4
L=8
Check: 2(8)+2(4)=24 ? 16+8 = 24 Yes
the difference of complementary angles is 10 degree. find the measures of the angles.
Answer:
40° and 50°
Step-by-step explanation:
90=(x+10)+x
90=2x+10
80=2x
40=x
Therefore the answer is,
40 and 40+10
40° and 50°
Answer:
50° and 40°
Step-by-step explanation:
Complementary angles sum to 90°
let one angle be x then the other is x - 10
x + x - 10 = 90
2x - 10 = 90 ( add 10 to both sides )
2x = 100 ( divide both sides by 2 )
x = 50
x - 10 = 50 - 10 = 40
The angle measures are 50° and 40°
I need help asap plssss
Answer:
x = -4
Step-by-step explanation:
(x - 5) (x + 4) = x^2 + 4x
If you expand this, you get:
x^2 - x - 20 = x^2 + 4x
graph similar terms together, the x^2 disappears:
-20 = 5x
x = -20/5 = -4
Ms. Brown spent $5.25 on groceries and 75¢ on candies. What is the ratio of: a) cost of groceries to cost of candies b) cost of candies to total cost
Answer:
A.) 7:1 (which is 5.25 : 0.75 simplified)
B.) 0.75 : 6
Step-by-step explanation: