Answer: Image #1: C. Distributuve Property Image #2: A. n + 2(7)
Step-by-step explanation: For Image #1, they used the Distributive Property because the number 3 was (distributed) and multiplied to both x and 7. The equation is saying that 3x + 21 = 42, and that we’re trying to solve for x. For Image #2, the answer is A. n + 2(7) because after you solve the expression, the answer would be 14n. When you look at the four options, (A. B. C. D.), letter A. would be the answer because it equals to 14n.
How many liters each of a 45% acid solution and a 70% acid solution must be used to produce 50 liters of a 65% acid solution? (Round to two decimal places if necessary.)
Answer:
The number of liters of the 45% acid solution = 10 liters
The number of liters of the 70% acid solution is = 40 liters
Step-by-step explanation:
How many liters each of a 45% acid solution and a 70% acid solution must be used to produce 50 liters of a 65% acid solution? (Round to two decimal places if necessary.)
Let x be the number of liters of the 45% acid solution
The number of liters of the 70% acid solution is y
x + y = 50
x = 50 - y
Also
How many liters each of a 45% acid solution and a 70% acid solution must be used to produce 50 liters of a 65% acid solution?
We have:
45% × x + 70% × y = 65% × 50
0.45x + 0.70y = 0.65 × 50
0.45x + 0.70y = 32.5
We substitute x = 50 - y in the equation
0.45(50 - y) + 0.70y = 32.5
= 22.5 - 0.45y + 0.70y = 32.5
= - 0.45y + 0.70y = 32.5 - 22.5
= 0.25y = 10
Divide both sides by 0.25
= y = 10/0.25
y = 40 liters
x = 50 - y
x = 50 - 40
x = 10 liters
Hence,
The number of liters of the 45% acid solution = 10 liters
The number of liters of the 70% acid solution is = 40 liters
-11/2 divided by 12/5.
Answer:
Exact Form:
−55/24
Decimal Form:
−2.2916...
Mixed Number Form:
−2 7/24
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
11kx+13kx= 6 for x
a: x=4/k
b:x=1/4k
c:x=4k
d:x=k/4
i have no clue smh
24kx = 6
kx = 6/24
kx = 1/4
x = 1/4/k
x = 1/4k
A) X = 1/4k or the first option.
witch 2 numbers are 4 units away from zero on a number line
Answer:
it depends which way youre going, but 4 and -4 work.
Step-by-step explanation:
In isosceles triangle △ABC, AC is the base and AD is the angle bisector of ∠A. What are the measures of the angles of this triangle if m∠ADB=110°?
I have also tried 220/3 as the base angle, but that is incorrect. Thank you!
Answer:
Step-by-step explanation: The triangle is isosceles, meaning it has two twin sides, that make two twin angles, namely AB = BC, and the angles at A and C are twins as well. now, the AD segment, is an angle bisector, meaning it cuts the angle at A in two equal halves, so if say the angles are x° each, then the bisectors cut it in (x/2)°. now, we know ∡ADB is 110°, therefore its supplementary angle, in green, is 70°. recall that the sum of all interior angles in a triangle is 180°, thus Check out the photo belowWhich graph shows the solution to the equation f(x)= (x-1)(x+4)
Answer:
the firstn one
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
We have the function:
[tex]f(x)=(x-1)(x+4)[/tex]
This is a quadratic in factored form.
The zeros of our function will be the opposites of our factors.
We have the factors (x-1) and (x+4).
Therefore, the zeros of our function must be at x=1 and x=-4.
Also, notice that the coefficient of our x-variable are both positive.
Therefore, the leading coefficient will also be positive.
So, this means that our graph must curve upwards.
Therefore, our graph must be curving upwards while crossing the points x=1 and x=-4.
So, our answer is D.
Please answer them correctly i need these points please.
Answer:
The first one is B The second one is D and the last one is A
i neeed answer fast thanks <3
Answer:
C, 0.28 x 63 = p
Step-by-step explanation:
Basically, C is getting 28% of 63.
This can be better shown in terms of 100. Let's say you want 28 percent of 100.
0.28 x 100 = 28
Elizabeth and her family's dinner bill was $79.00. How much tip will her family give the waiter, if they tip 23%?
Answer:
The tip that the family gave the waiter is 16.69$
A bag contains 5 red marbles, 3 blue marbles, 7 yellow marbles, and 2 green marbles. Which ratio can be used to compare the yellow marbles to the blue marbles?
Answer:
7:3
Step-by-step explanation:
The number of yellow marbles: the number of blue marbles
Answer:
7:3
Step-by-step explanation:
there are 7 yellow marbles and 3 blue marbles
Haley bought 1.6 pounds of almonds for $13.20. How much did she pay per pound for the almonds? Record your answer and fill in the bubbles on your answer document. Be sure to use correct place value. +/- .
Answer:
She paid $8,25 per pound
Step-by-step explanation:
Given
[tex]Weight = 1.6\ lb[/tex]
[tex]Total= \$13.20[/tex]
Required
Determine the amount paid per pound
To do this, we simply divide the amount by the weight of Almonds.
[tex]Amount = \frac{Total}{Weight}[/tex]
[tex]Amount = \frac{\$13.20}{1.6\ lb}[/tex]
[tex]Amount = {\$8.25/\ lb[/tex]
Hence, she paid $8,25 per pound
Computer salespeople at a local store earn a $100 commission per computer for the first 5 computers they sell each month. For every additional computer they sell during that month, the commission per computer is 1.5 times the rate for the first five. Which of the following is the total commission earned by a salesperson who sells 8 computers in a month?
A. $190
B. $800
C. $950
D. $1,050
E. $1,200
Answer:
The answer is C.
Step-by-step explanation:
Firstly, you have to find the new commission sales after first 5 computera are sold. In order to do so, you have to multiply it by 1.5 :
$100 × 1.5 = $150
Next, you have to find the total amount :
($100×5) + ($150×3)
= $500 + $450
= $950
The function = 3describes the volume of a cube, , in cubic inches, whose length, width, and height each measure inches. Find the (instantaneous) rate of change of the volume with respect to when = 3 ℎ.
The correct structure of the question is as follows:
The function f(x) = x^3 describes a cube's volume, f(x) in cubic inches, whose length, width, and height each measures x inches. If x is changing, find the (instantaneous) rate of change of the volume with respect to x at the moment when x = 3 inches.
Answer:
Step-by-step explanation:
Given that:
f(x) = x^3
Then;
V = x^3
The rate whereby V is changing with respect to time is can be determined by taking the differentiation of V
dV/dx = 3x^2
Now, at the moment when x = 3;
dV/dx = 3(3)^2
dV/dx = 3(9)
dV/dx = 27 cubic inch per inch
Suppose it is at the moment when x = 9
Then;
dV/dx = 3(9)^2
dV/dx = 3(81)
dV/dx = 243 cubic inch per inch
What is the slope-intercept equation for the line below?
(5, 4)
(0, 2)
Answer:
=
2/5x +2
Step-by-step explanation:
let me know if im wrong
hope it helps :)
Answer:
A. y=2/5x +2
step-by-step explanation:
hope this helped :-)
Express the sum of the polymonial 3x^2+15x-56 and the square of the binomial (x-8) as a polynomial in standard form.
Given:
Polynomial is [tex]3x^2+15x-56[/tex].
To find:
The sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form.
Solution:
The sum of given polynomial and the square of the binomial (x-8) is
[tex]3x^2+15x-56+(x-8)^2[/tex]
[tex]=3x^2+15x-56+x^2-2(x)(8)+8^2[/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
[tex]=3x^2+15x-56+x^2-16x+64[/tex]
On combining like terms, we get
[tex]=(3x^2+x^2)+(15x-16x)+(-56+64)[/tex]
[tex]=4x^2-x+8[/tex]
Therefore, the sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form is [tex]4x^2-x+8[/tex].
the pyramid shown has a rectangular base and faces that are isosceles triangles find the total surface area to the nearest tenth
Answer:
I think is C.
Step-by-step explanation:
I'm so sorry if wrong!
Last year, a middle school band had 80 students. This year,
the band has 120% of that number of students. How many
students are in the band this year?
Answer:
The answer actually is 96
Step-by-step explanation:
Someone please help me answer this question please and thank you.
Students collect cards with equivalent mathematical or verbal expressions on them to make books of cards. A book is a group of 3 or 4 cards with either equivalent mathematical expressions or equivalent verbal expressions on them. When a player has at least 3 matching cards, he/she may lay down the book of cards. The object of the game is to be the first to get rid of all the cards in your hand.
Preparation: The teacher should print enough decks of cards so that one deck per group of 4 students can be distributed.
Shuffle the cards and deal out 7 cards to each player. Place the remaining cards in a pile (the draw pile) in the center of the table. Turn one card over to create the discard pile.
On his/her turn, each player will:
Either draw a card from the draw pile OR pick up the top card of the discard pile. (A player may only pick up the top card of the discard pile if by doing so it creates a book that the player can lay down immediately or it is a card that can be added to an existing book on the table.)
The player then examines his/her hand to see if there are any sets of three or four that can be laid down. If so, the cards are laid down on the table face up.
If the player does not have any groups to lay down, he/she may lay down a single card if that card can be added to another player’s book that has been laid on the table previously.
If the player can not put down a book or a single card to add to an existing book, then the player’s turn is over.
At the end of each turn the player must place a card on the discard pile. If this is the last card in his/her hand, then he/she is the winner!
Play moves to the left in a similar fashion until all the cars have been played or no other cards remain to be drawn and no player can go out. At that point, the player with the least number of cards in his/her hand is the winner.
Variation:
Students collect cards to make books but can only add a card to a book they have placed on the table themselves. At the end of the game, the player with the most books is the winner.
Find the distance between the two points in simplest radical form.
(1,8)(6,-4)
Add. 2/3 + 1/4 ...............................
Answer:
11/12
Step-by-step explanation:
2/3+1/4
8/12+3/12= 11/12
pls answer QUICK PLSSSS
Step-by-step explanation:
1) 13.57
+2.93
With this, we subtract from the back Meaning we add starting from back to forward;
13.57
+2.93
16.50
We have that because when you add 7 and 3 you get 10 so we write the 0 there and add the remaining 1 to the 5 making it 6 and then 6 plus 9 will give you 15 then we write the 5 then we add the remaining 1 to the 3 making it 4 then we add the 4 to the 2 making it 6 after this there is no remainder so we just write the 1.
WILL MARK BRAINLEST, PLEASE HELP !!!
Answer:
rate of change = first derivative= g'(x)=-2x+6
plug -3 to 5 into that g'(x) equation, it will be your answer
Step-by-step explanation:
9514 1404 393
Answer:
4
Step-by-step explanation:
The average rate of change of f(x) on the interval [a, b] is computed from ...
m = (f(b) -f(a))/(b -a)
On the interval [-3, 5] the average rate of change is ...
m = (f(5) -f(3))/(5 -(-3)) = ((-5^2 +6·5 +12) -(-(-3)^2 +6(-3) +12))/8
= (-25 +30 +12 +9 +18 -12)/8 = 32/8
m = 4
The average rate of change on the interval is 4.
__
Alternate solution
The first derivative of the function is ...
f'(x) = -2x +6
The average rate of change of a parabolic function on an interval is the rated of change at the midpoint of the interval. Here, the midpoint is x=(5+(-3))/2 = 1, so the average rate of change is ...
f'(1) = -2(1) +6 = 4
Tony bought 255 1-inch nails and 5 boxes of 2-inch nails. Each box of 2-inch nails had equal amounts of nails in them. He bought a total of 620 nails. Find the number of nails in each box of 2-inch nails.
Answer:
73 nails
Step-by-step explanation:
Number of 1 inch = 255
Boxes of 2 - inch = 5
Each box of 2 _inch has equal amount of nails
Total number of nails = 620
Number of nails in each box of 2_inch nails:
Let Number of nails in each box = b
Number of 1_inch + 5 * number of 2_inch = 620
255 + 5b = 620
5b = 620 - 255
5b = 365
5b / 5 = 365 / 5
b = 73
Hence, there are 73 nails in each box of 2_inch nails
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Answer:
rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr
Step-by-step explanation:
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How do I get the answers down below? Could anyone help me? I will give brainliest and 25 points :)))
In the figure below, the horizontal lines are parallel. Find the measure of the labeled angles: 2y+2 and 4y-2
THE ANSWERS ARE:
(2y+2)=62degrees
(4y-2)=118degrees
y=30
Answer:
Step-by-step explanation:
The angles that you have shown are called same side exterior angles.
All same side exterior angles add to 180 degrees
Since we know this, we can make the following equation:
2y+2+4y-2=180
6y=180
y=30
To get each angle you can plug in y:
2*30+2=62
4*30-2=118
I hope this helps :)
The pencils , p, we're divided into 6 groups of 2
⚠️⚠️Write an equation PLEASEE I’m almost done ⚠️⚠️
Answer:
6 divided by 2 =p (a made a little graph at the bottom to demonstrate)
Step-by-step explanation:
. . . . . . Graph←
. . . . . .
Solve (x + 2 -6).
{x | -6 1}
{x | x < 0}
Answer:
x^2 + x = 0
Step-by-step explanation:
Simplifying
x2 + x = 0
Reorder the terms:
x + x2 = 0
Solving
x + x2 = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + x) = 0
La distancia que se recorre por carretera para llegar de Guadalajara a Puerto Vallarta, es de aproximadamente 306 km. Si se viaja a una velocidad promedio de 75km/h ¿cuánto tiempo se hará en ese trayecto?
Responder:
4.08 horas
Explicación paso a paso:
Velocidad = Distancia / Tiempo
Dado
Distancia = 306km
Velocidad = 75 km / h
Necesario
Hora
De la fórmula;
Tiempo = Distancia / velocidad
Sustituye el parámetro dado y obtén el tiempo;
Tiempo = 306 km / 75 km / h
Tiempo = 4.08 horas
Por lo tanto, utilizará 4.08 horas en ese viaje.
What is the answer???????????????????????????????/
Answer:
Step-by-step explanation:
b
Express this ratio in its simplest form.
240cm : 3.6m