Answer:
x = amount of pure acid to be added = 6.67ml
Step-by-step explanation:
George wishes to increase the percent of acid in 50ml of a 15% acid solution in water to 25% acid, how much pure acid must you add?
let
x = amount of pure acid to be added
15% of 50 + x = 25% of 50 + x
(0.15 * 50) + x = 0.25(50 + x)
7.5 + x = 12.5 + 0.25x
Collect like terms
x - 0.25x = 12.5 - 7.5
0.75x = 5
x = 5/0.75
x = 6.6666666666666
Approximately,
x = 6.67
x = amount of pure acid to be added = 6.67ml
On a boat tour there are half as many children as there are adults. There are 30 people. How many children are there.
Answer:
10 children, 20 adults
Step-by-step explanation:
Children=1/2Adults
adults+children=30
adults + 1/2 adults=30
1 1/2 adults =30
adults = 20
children =1/2 adults
children = 1/2(20)
children=10
You invest $8,000 in an account that earns 4% compounded monthly. How much money are you going to have in 5 years?
can somebody help me solve this?
Answer:
z = 3.2 units
Step-by-step explanation:
sin 76°/z = sin 51°/2.6
cross-multiply to get:
z·(sin 51°) = 2.6·(sin 76°)
z = 2.6·(sin 76°) ÷ (sin 51°)
z = 3.2
If a point on the pre-image has coordinates (3, -4), and the coordinates of its image are (12, -16), what scale factor was used for the dilation?
A.4
B.1
C.4
D.1/4
Answer:
c 4i think soc 4 yu need to be add
hey! i’ll give brainliest please help
Answer:
C
Step-by-step explanation:
Answer:
E
Step-by-step explanation:
E represents the number of moths initially with the darkest wing colour, and the number of these will increase if the moth's predator (hawks) finds it more difficult to locate them, as the moths with the darkest colour wings will be more likely to survive to reproduce so will increase in number (natural selection).
Hope this helps!
Math question pre algebra
Answer:
Option B
Step-by-step explanation:
By applying Pythagoras theorem in the given right triangle,
(Hypotenuse)² = (leg 1)² + (leg 2)²
By substituting the values in the given expression,
7² = x² + 2²
49 = x² + 4
x² = 49 - 4
x² = 45
x = √45
x = 3√5
x = 6.7 ft
Option B will be the correct option.
Jasmine bought a new IPhone for $1000. The value of the phone depreciates 10% each year. What will the phone be worth after 4 years?
Answer:
$ 656.1
Step-by-step explanation:
a = 1000(1 - .1)^4
a = 1000(.9)^4
a = 656.1
If 4 + x = −3 + 2x, then 9x =_____?
Answer:
4+x=-3+2x
4+3=2x-x
7=x
9x=9*7
=63
Step-by-step explanation:
Answer:
[tex]4 + x = - 3 + 2x \\ x - 2x = - 3 - 4 \\ - x = - 7 \\ x = 7 \\ therefore = \\ 9x = 9 \times 7 \\ 9x = 63 \\ i \: hope \: this \: was \: helpful [/tex]
Sam, Raj and Jade have 12 sweets each. One quarter of Sam's sweets are blue. How many blue sweets does he have?
Step-by-step explanation:
Sam, Raj and Jade have 12 sweets each
(one person has 12 sweets)
Sam has 12 sweets
one quarter of Sam sweet is blue
1/4 = one quarter
1/4 * 12 = 3
Sam has 3 blue sweets.
Answer:
sam has 3 blue sweets
Step-by-step explanation:
[tex]\frac{1}{4} of 12 = 3[/tex]
if sam has 12 sweets and one quarter are blue then we need to work out one quarter of the twelve sweets. you need to do [tex]\frac{1}{4} of 12[/tex] which is 3 and [tex]\frac{1}{4} of 12[/tex] is the same as [tex]\frac{1}{4} times 12[/tex]
“Plot (2,4) on the coordinate plane and label it B.”
I’m not that good with fractions so I really need help with this.
Answer:
how do you plot?
Step-by-step explanation:
To the top right quadrant, the second bottom square, moving 4 units up.
What is the radius of polygon JKLMN ?
Answer:
Radius of the circle is 5 units.
Step-by-step explanation:
JKLMN is a regular polygon inscribed in a circle.
Since, its a regular polygon,
JN = NM = 5.88 units
"Perpendicular drawn from the center of the circle to any chord is the bisector of the chord"
Therefore, PQ will be the perpendicular bisector of chord NM.
QM = [tex]\frac{1}{2}(NM)[/tex]
QM = [tex]\frac{1}{2}(5.88)[/tex]
QM = 2.94 units
By applying Pythagoras theorem in ΔPQM,
PM² = PQ² + QM²
PM² = (4.05)² + (2.94)²
PM = [tex]\sqrt{16.4025+8.6436}[/tex]
PM = [tex]\sqrt{25.0461}[/tex]
PM = 5 units
Therefore, radius of the circle is 5 units.
Joe can weed the garden twice as fast as his sister Janet. Together they can weed the garden in 2 hours. How long would it take each of them working alone?
A:[tex]\frac{1}{x}[/tex]
Answer:
Joe: 3 hrs
Janet: 6hrs
Step-by-step explanation:
joe takes x hours
so in 1 hr he does 1/x of the garden
janet takes 2x hours
so in 1 hr she does 1/(2x) of the garden
In one hour together they do 1/2 of the garden
1/x + 1/(2x) = 1/2
2/(2x) + 1/(2x) = 1/2
3/(2x) = 1/2
Cross multiply
6 = 2x
x = 3
Joe: 3 hrs
Janet: 6hrs
PLEASE ANSWER QUICKLY
helppppppp meeeeeeee please
Answer:
33
Step-by-step explanation:
(3×3 )+(1/2 ×3×4) ×4 = 33
Please help me thanks :)
Answer:
A
Step-by-step explanation:
To sovle this we must combine the numbers togther and the variables togther.
We have:
8c+6-3c-2
Lets take out the c's and combine them:
8c -3c
=
5c
Now lets take out the numbers:
6-2
=
4
Now lets put these back together and we get the expression:
5c+4
This looks like A.
Hope this helps! :D
What is the average rate of change of the function y = cos(x) over the interval [0,2]?
Answer:
-0.708073 this is the exact answer im not sure if they want you to round or not
Step-by-step explanation:
What of the following is NOT a formula for circumference?
a) C=2πr
b) C=πr
c) C=πd
Answer:
The formula for circumfernce is C=pixd D is diameter
Step-by-step explanation:
?????????????????? find the value of x
Answer:
x = 17
Step-by-step explanation:
We can infer that the angles are equivalent based on the opposite angle theorem and we can set the equations equal to one another:
(8x-22)=(5x+29)
from here, we can subtract 5x from each side leaving us with:
3x-22=29
Now add 22 to both sides:
3x=51
Now divide both sides by 3, leaving us with the value of x:
x=17
No links!!!
Will give brainliest and please don’t guess
Answer:
You were so worried about somebody guessing
you forgot to ask a question!
Step-by-step explanation:
Solve for x. Choose the best answer.
Answer:
x = 15
Step-by-step explanation:
cross multiply -->
8x = 120 *divide by 8 on both sides*
x = 15
CHECK:
5/8 + 15/24
multiply by 3 to get the second fraction
Answer:
x=15
Step-by-step explanation:
Two sides of a triangle measure 25 meters and 13 meters. Which of the following measures could represent the perimeter of the triangle?
12meters
40meters
38meters
17meters
Please help! I will give brainliest to the first correct answer!
Answer:
x=3 and y=1 so the answer is b
Step-by-step explanation:
hope it helped have a good day<3
Answer:
B
Step-by-step explanation:
image attached is the step by step "explanation
From a stick 2y metres long, I cut a piece of length 4y centimetres. What fraction of the original stick remains?
None of these
49/50
-1/2y
-2y
Answer:
-1/2y
Step-by-step explanation:
2/4 = 1/2
Answer each question and round your answer to the nearest whole number
Answer:
New width = 12 in.
Step-by-step explanation:
Original height = 2 in.
Original width = 3 in.
New height = 8 in.
New width = x = ?
The shape of the original painting and the shape of the new painting are similar, therefore, the ratio of their corresponding linear measurement will be equal.
Thus:
New height/original height = new width/original width
8/2 = x/3
Cross multiply
2x = 3*8
2x = 24
2x/2 = 24/2
x = 12
New width = 12 in.
Now, you do the math: Tell us if you can afford the apartment using the details below.
Your gross paycheck is $2100 per month.
You're looking at a very small one-bedroom apartment that rents for only $650 per month.
The electric bill runs about $60 per month for power.
You'll pay about $10 per month for gas.
An Internet line will cost you $20 per month.
You have to rent a parking space for your old buggy at $20 per month.
Can you afford to get this apartment?
Yes.
No.
If no, how much can you afford to pay in rent plus housing expenses?
Answer:
I think yes because u will have 760 leftover
The table below shows three special sequences (A to C) of numbers.
A 1; 4; 9; 16; 25; 36 ...
B 1:8; 27; 64; 125; 216...
C 1:3; 6; 10; 15; 21; ...
3.1 Write down the next THREE terms of the respective patterns.
3.2.
Identify the pattem (sequence of numbers) represented by each letter.
3.3
Determine the formula for the general term of each sequence.
3.4
Determine the 100 term of each respective pattern.
Answer:
3.1 A) 49; 64; and 81
B) 343; 512; and 729
C) 28; 36; and 45
3.2 A) 1²; 2²; 3²...
B) 1³; 2³; 3³...
C) 1; 1+2; 1+2+3; ...
3.3 A) aₙ = n²
B) aₙ = n³
C) aₙ = n·(n + 1)/2
3.4 A) 10,000
B) 1,000,000
C) 5,050
Step-by-step explanation:
The given sequences are;
A 1; 4; 9; 16; 25; 36...
B 1; 8; 27; 64; 125; 216...
C 1; 3; 6; 10; 15; 21;...
3.1 A) The terms, aₙ, of sequence 'A' are given as follows;
aₙ = n², where, n = 1, 2, 3,...
The next three terms of sequence 'A' are therefore;
a₇ = 7³ = 49, a₈ = 8² = 64, and a₉ = 9² = 81
The next three terms of sequence 'A' are ; 49; 64; and 81
B) The terms, aₙ, of sequence 'B' are given as follows;
aₙ = n³, where, n = 1, 2, 3,...
The next three terms of sequence 'B' are therefore;
a₇ = 7³ = 343, a₈ = 8³ = 512, and a₉ = 9³ = 729
The next three terms of sequence 'B' are; 343; 512; and 729
C) The terms, aₙ, of sequence 'C' are given as follows;
aₙ = n·(n + 1)/2, where, n = 1, 2, 3,...
The next three terms of sequence 'A' are therefore;
a₇ = 7×(7 + 1)/2 = 28, a₈ = 8×(8 + 1)/2 = 36, and a₉ = 36 + 9×(9 + 1)/2 = 45
The next three terms of sequence 'A' are ; 28; 36; and 45
3.2 A) The pattern of the numbers in sequence 'A', consists of squaring (raising to the power of 2) each number in the sequence of natural numbers
B) The pattern of the numbers in sequence 'B', consists of raising to the power of 3 each number in the sequence of natural numbers
C) The pattern is the triangular number sequence and consists of finding half the number dots that are present in a n by (n + 1) rectangle, which is given by finding the sum of the natural numbers up to the given term in the sequence
3.3 A) The formula for the general term of sequence, A, is aₙ = n²
B) The formula for the general term of sequence, B, is aₙ = n³
C) The formula for the general term of sequence, C, is aₙ = n·(n + 1)/2
3.4 A) The 100th term of sequence 'A', a₁₀₀ = 100² = 10,000
B) The 100th term of sequence 'B', a₁₀₀ = 100³ = 1,000,000
C) The 100th term of sequence 'C', a₁₀₀ = 100 × (100 + 1)/2 = 5,050.
4(3x + 2) - 5(6x - 1) = 2(x-8) - 6(7x - 4)
Answer:
12x+8-30x+5=2x-16-42x+24
-18x+13=-40x+8
22x=-5
x=-5/22
hopefully i did it with out mistakes
What type of slope does the line y = -3 have?
negative
zero
undefined
positive
Answer:
zero
Step-by-step explanation:
y = - 3 is a horizontal line parallel to the x- axis.
Since it is parallel to the x- axis it has a slope of zero
Answer:
zero
Step-by-step explanation:
Solve the inequality 2m+10 < 40
Answer:
m < 15
Step-by-step explanation:
2m+10 < 40
Subtract 10 from each side
2m+10-10 < 40-10
2m < 30
Divide by 2
2m/2 = < 30/2
m < 15
An isosceles triangle has an angle that measures 40°. Which other angles could be in that isosceles triangle? Choose all that apply. 70, 100,80,40
Given:
An isosceles triangle has an angle that measures 40°.
To find:
The other possible angles of the triangle.
Solution:
Case 1: 40° is the measure of base angle of isosceles triangle.
Then, the other base angle is 40°.
Let x be the measure of third angle.
The sum of all interior angles of a triangle is 180 degrees. So,
[tex]x+40^\circ+40^\circ=180^\circ[/tex]
[tex]x=180^\circ-40^\circ-40^\circ[/tex]
[tex]x=100^\circ[/tex]
So, the possible angles are 40° and 100°.
Case 2: 40° is the measure of vertical angle of isosceles triangle.
Let y be the measure of base angles, then
[tex]y+y+40^\circ=180^\circ[/tex]
[tex]2y=180^\circ -40^\circ[/tex]
[tex]y=\dfrac{140^\circ}{2}[/tex]
[tex]y=70^\circ [/tex]
So, the possible angles are 40° and 70°.
Therefore, the correct options are A, B and D.