Answer:
12.5 kg
Step-by-step explanation:
50 divided by 4 = 12.5
Answer: 37.5kg
Step-by-step explanation:
When you hear "of", it indicates multiplication. When you multiply by 1/4, you can also divide by 4 to get the same answer. 50/4 = 12.5kg sold
But that isnt our net sugar because thats how much he sold. Subtract that from what he has currently, and youll get the sugar he has after selling the 1/4th.
50 - 12.5 = 37.5kg
Suppose you obtain a 30-years fixed-rate mortgage for$100000 at a rate of 3%.
Answer:
yes
Step-by-step explanation:
A quadratic trinomial is a trinomial in the form x 2 + b x + c or a x 2 + b x + c with a degree of ___.
Using the concept of degree of a polynomial, it is found that a quadratic trinomial has a degree of 2.
What is the degree of a polynomial?The degree of a polynomial is given by the highest exponent of x.
The quadratic trinomial has the following format:
x² + bx + c.
The highest exponent is of 2, hence the quadratic trinomial has a degree of 2.
More can be learned about the degree of a polynomial at https://brainly.com/question/1600696
#SPJ2
what is 3f + 8f + 4f simplified?
Answer:
Step-by-step explanation:
Simplifying
3f + f + 4f = 0
Combine like terms: 3f + f = 4f
4f + 4f = 0
Combine like terms: 4f + 4f = 8f
8f = 0
Solving
8f = 0
Solving for variable 'f'.
Move all terms containing f to the left, all other terms to the right.
Divide each side by '8'.
f = 0
Simplifying
f = 0
Hoped this helped sorry if it did not
! :)
Can some plz help me answer
Questions
answered
The diagram shows a larger square divided into a smaller square and four right triangles. The
diagram can be used to prove the Pythagorean theorem.
18
Time
elapsed
рь
a
00
23
13
HR MIN SEC
a
bd
a
SmartScore
out of 100
Complete the proof of the Pythagorean theorem.
76
9
The area of the larger square found by multiplying its side lengths is
The smaller
square has side lengths of a - b. The combined area of the four triangles and the smaller
square is
which is equivalent to a? - 2ab + b² + 2ab. a? - 2ab +
b2 + 2ab is also equivalent to
. This expression and the expression found by
multiplying the larger square's side lengths both represent the same area. Therefore,
Answer:
Step-by-step explanation:
The difference of two numbers is 14. The sum of those numbers is 32,
Write a system of equations to represent the scenario.
Answer:
step explanation: 16+ 16 = 32
Find the value of each variable so that the quadrilateral is a parallelogram.
G
19
X-2
Y+1
E
x =
y =
9514 1404 393
Answer:
x = 21
y = 25
Step-by-step explanation:
The diagonals of a quadrilateral bisect each other, so each half of a diagonal is congruent to the other half.
x -2 = 19
x = 21 . . . . add 2
__
y +1 = 26
y = 25 . . . . subtract 1
Show all work for the following
Algebraically solve the following system of equations.
(x+2)2+(y-3)2=16
x+y-1=0
Answer:
[tex](-2-2\sqrt{2},3+2\sqrt{2})\,,\,(-2+2\sqrt{2},3-2\sqrt{2})[/tex]
Step-by-step explanation:
Given:
[tex](x+2)^2+(y-3)^2=16\\x+y-1=0[/tex]
To find: value of [tex]x,y[/tex]
Solution:
[tex](x+2)^2+(y-3)^2=16\,\,\,...(i)\\x+y-1=0\,\,\,(ii)[/tex]
From (ii),
[tex]x=1-y[/tex]
Put this value of [tex]x[/tex] in (i)
[tex](1-y+2)^2+(y-3)^2=16\\(3-y)^2+(y-3)^2=16\\(y-3)^2+(y-3)^2=16\\2(y-3)^2=16\\(y-3)^2=8[/tex]
[tex]y-3=[/tex] ± [tex]\sqrt{8}[/tex] = ± [tex]2\sqrt{2}[/tex]
[tex]y=3[/tex] ± [tex]2\sqrt{2}[/tex]
At [tex]y=3[/tex] + [tex]2\sqrt{2}[/tex] ,
[tex]x=1-(3+2\sqrt{2})=1-3-2\sqrt{2}=-2-2\sqrt{2}[/tex]
At [tex]y=3-2\sqrt{2}[/tex] ,
[tex]x=1-(3-2\sqrt{2})=1-3+2\sqrt{2}=-2+2\sqrt{2}[/tex]
Solutions are [tex](-2-2\sqrt{2},3+2\sqrt{2})\,,\,(-2+2\sqrt{2},3-2\sqrt{2})[/tex]
4. Liza wants to have more than $750 in her
savings account before she will leave for college.
Right now she has $300, and she is going to
babysit to earn $12.00 an hour. How
many
hours
will Liza need to babysit before she leaves for
college?
750 - 300 = 450
She needs to save $450 more.
$450 / $12 per hour = 37.5 hours
She needs to babysit 37.5 hours.
1/2x + 3/2(x+1) -1/4 = 5
Answer: x=15/8
Step-by-step explanation:
Which recursive formula can be used to represent the sequence
2, 4, 6, 8, 10, ... ?
Answer:
add by 2
Step-by-step explanation:
Eddie is 13
3
4
years old. Lucas is 1
3
8
years younger than Eddie and Jane is 1
1
5
years younger than Lucas. How old is Jane?
Answer:
Jane is 11 7/40
Step-by-step explanation:
13 3/4- 1 3/8= 12 3/8
12 3/8- 1 1/5= 11 7/40
Therefore the answer is 11 7/40
Completely factor the polynomial, if possible.
4x2 + 1
i need help asap!!
Answer:
x= √-1/4
Step-by-step explanation:
4x²+1=0
4x²= -1
x² = -1/4
x = √-1/4
Show me how to file the bonds fir each please
A bag of cat food contains 4 pounds. Each serving is 1/4 of a cup. How many servings are in the bag?
Answer:
16
Step-by-step explanation:
each pound has 3.6 cups
1/4 of a pound can be multiplied
3.6 x 1/4 = 0.9
then we subtract 4 - 3.6 = 0.4 say if the question was for one pound
But we have to find 14.4 cups instead as;
3.6 x 4 = 14.4 = 4 pounds
We go back to 0.9 are first smaller serving = 1/4 cup
14.4/0.9 = 16
A grocer sells watermelons.the table shows the cost of buying different numbers of watermelons
Answer:
3: 3.75, 4: 5.00 5: 6.25
Step-by-step explanation:
1.25x1=1.25 multpy them by 1.25 and that the proportional rate
There are 50 animals in a shelter. Three hundred vehicles are parked in a parking garage. Seventy of the vehicles are midsized cars. Which equation can be use to find the number of midsized cars in the parking garage?
Answer:
230
Step-by-step explanation:
300 - 70 = 270 boom
A ladder is leaning up against a wall with the base of the ladder only 44 feet from the wall. The ladder itself is 1414 feet long. How large is the angle formed with the ground as the ladder leans against the wall? Round your answer to the nearest tenth.
Answer:
73.4°
Step-by-step explanation:
Given that :
Base of ladder from wall = 4 feets
Length of ladder = 14 feets
Angle formed with the ground :
Using Pythagoras :
Cosine θ = adjacent / hypotenus
Adjacent = 4 feets
Hypotenus = 14 feets
Cosθ = 4 / 14
Cosθ = 0.2857142
θ = cos^-1(0.2857142) = 73.398450
= 73.4°
y + 2x-2 = x2
y - 2x = -2
MARKING BRAINLIEST Simplify into one fraction
(4/x+3)-(2/x-5)
A.2x-26/(x+3)(x-5)
B.2(x-26)/(x+3)(x-5)
C.6/(x+3)(x-5)
D.2/(x+3)(x-5)
What is the solution to the system of equations?
2x+y=- 4
X-y=4
Answer:
x = 0, y = -4
Step-by-step explanation:
Add these equations together:
[tex]2x + y = -4\\x - y = 4[/tex]
3x = 0
divide both sides by 3
x = 0
substitute this into the equation x - y = 4
0 - y = 4
y = -4
Applying the Pythagorean Theorem Warm-up What is the value of x? 10 8
Answer:
x = 6Step-by-step explanation:
According to pythagorean theorem
a² = b² + x²
a is the hypotenuse
b and x are the opposite and adjacent
Let a = 10
b = 8
Substitute and get x:
10² = 8²+x²
x² = 10²-8²
x² = 100-64
x² = 36
x = √36
x = 6
Hence the value of x is 6
Evaluate the expression a/4 + 1/3 when a=10
Answer:
17/6
Step-by-step explanation:
10
4
+
1
3
=
5
2
+
1
3
=
15
6
+
2
6
=
15+2
6
‼️PLEASE HELP‼️‼️ Juan has $13 dollars in his piggy bank. Each week on Monday, he gets $10 for his allowance . Write a function to represent the amount of money Juan has at any given week .
Evaluates f(7)
Answer:
f(x) = 10x + 13
Function f(7) = 83
Step-by-step explanation:
y = 10x + 13
f(x) = 10x + 13
Function f(7) = 10(7) + 13
Function f(7) = 83
Which of the following can be used to construct a triangle?
A) 64in 32in 114in
B) 45in 78in 36
C) 12in 89in 45in
D) 95in 25in 63in
PLS HURRY!!!!
Valerie uses 0.75 of a pound of carrots to make a carrot
cake. She bought 6 pounds of carrots. How many carrot
cakes could she make?
Answer:
Valerie can make 8 cakes
Step-by-step explanation:
6/0.75 = 8
Answer:
Valerie can make 8 cakes
Step-by-step explanation:
6/0.75 = 8
A new hard drive costs $225, plus $40 per hour for
labor. The linear equation y = 40x + 225 gives the cost y in dollars for x hours of labor. If Jane has $385 to spend on computer repairs, what is the maximum number of hours the computer technician can work?
for 35 point
Answer:
4 hours
Step-by-step explanation:
y= 40x +225
$385 money to spend - $225 that go for hard drive = $160
40* x can be maximum 160 so x= 160 /40= 4
The school store sells highlighters for $1.20 and permanent markers for $1.15. On Monday they sold 8 of these
items earning a total of $9.35. How many of each item did they sell?
Answer:
3 highlighters and 5 permanent markers were sold on Monday.
Step-by-step explanation:
Since the school store sells highlighters for $ 1.20 and permanent markers for $ 1.15, there is a difference between the two products of 5 cents, or $ 0.05.
Therefore, if 8 products were sold for a total of $ 9.35, and since 1.15 x 8 equals 9.20, there is a difference of 15 cents, attributable to the highlighters, since each highlighter costs 5 cents more than the permanent markers .
Therefore, since 15/5 is equal to 3, on Monday 3 highlighters and 5 permanent markers were sold, which is corroborated by the following calculation:
3 x 1.20 = 3.60
5 x 1.15 = 5.75
5.75 + 3.60 = 9.35
How long would it take to travel 315 mi at the rate of 45 mi/h
A. 7 hours
B. 270 hours
C. 360 hours
I NEED HELP ASAP!!! I WILL GIVE BRAINLES
Answer: A. 7 hours
Step-by-step explanation: divide
A company dyes two sizes of rugs. A small rug requires 4 hours for dyeing, and a medium-size rug requires 6 hours for dyeing. The dyers have to make at least 20 rugs, and they must do it in less than 120 hours. Let x equal small rugs and y equal medium rugs. Which of the following inequalities can be paired with x + y ≥ 20 to create a system that represents this situation?
Answer:
Answer:
Option (b) is correct.
4x + 6y < 120 inequalities that can be paired with x + y ≥ 20 to create a system that represents the given situation.
Step-by-step explanation:
Given: A small rug requires 4 hours for dyeing and a medium-size rug requires 6 hours for dyeing. The dyers have to make at least 20 rugs, and they must do it in less than 120 hours.
We have write an inequalities that can be paired with x + y ≥ 20 to create a system that represents the given situation and choose the correct option from given options.
Let x represents the small rugs and y represents the medium rugs.
Also, x + y ≥ 20 represents the dyers have to make at least 20 rugs.
And it is given that a small rug requires 4 hours for dyeing and a medium-size rug requires 6 hours for dyeing and that they must do it in less than 120 hours.
So, time taken to dye x small rugs = 4x
also, time taken to dye y medium rugs = 6y
And they have maximum of 120 hours.
So this inequality is represented by 4x + 6y < 120
The answer is: 4x + 6y < 120
