Answer: 1 1/2.
Step-by-step explanation: Joe is using 3/4 cup of vinegar, 2/4 cup of Clorox, and 1/4 cup of water to make a special cleaning mixture right? He's going to mix all of those ingredients together, which means that this is an addition problem. When we add 3/4, 2/4, and 1/4 cups, we add the numerators to get our answer:
3/4 + 2/4 + 1/4 = 6/4, or 1 2/4, or 1 1/2 cups of cleaner in total when we simplify.
Therefore, the total amount of cleaner he makes is 1 1/2 cups.
Let me know if this is right! :)
pls help me with this
Answer:
7 with a remainder of 2
Step-by-step explanation:
i just did the math rn
need help with this asap
Answer:
they are three I will explain
Step-by-step explanation:
x+4/3÷6/x
this 3 expressions are equivalent to the equation above
1. x+4/3{x/6}
2. {x/6}x+4/3
3. x^2 + 4x /18
Paul earns a yearly salary of $29,100. His salary is divided equally into the same amount each month. How much money will Paul earn in January?
Answer:
$2,425 in January
Step-by-step explanation:
$29,100/12 months in a year = $2,425 each month
If
5sin 2x +4 = 10 sin ²x, show
that tanx = 2 or tan x =-1/3
[tex]~~~~~5\sin 2x +4 =10 \sin^2 x\\\\\implies 5\cdot 2\sin x \cos x+4 =10 \sin^2 x\\\\\implies 10 \sin x \cos x +4 = 10\sin^2 x\\\\\implies 10\tan x + 4\sec^2 x = 10\tan^2 x~~~~~;[\text{Divide both sides by}~ \cos^2 x]\\\\\implies 10\tan^2 x -10 \tan x -4(1+ \tan^2 x)=0\\\\\implies 10\tan^2 x -10 \tan x -4 -4\tan^2 x =0\\\\\implies 6 \tan^2 x -10 \tan x -4 =0\\\\\implies 3 \tan^2 x -5 \tan x -2 =0~~~~~;[\text{Divide both sides by 2}]\\\\\implies 3\tan^2 x - 6\tan x +\tan x -2 =0\\\\[/tex]
[tex]\implies 3 \tan x( \tan x -2) + (\tan x -2) = 0\\\\\implies (\tan x -2) ( 3 \tan x +1) = 0\\\\\implies \tan x = 2 ~~ \text{or}~~ \tan x = - \dfrac 13\\\\\text{Showed.}[/tex]the probability of a certain hockey player making a goal after hitting a slap shot is 1/5. How many successful slapshots would you expect her to make after 120 attempts?
Please help .!!!!!!!!!
Answer:
-60 = x
Step-by-step explanation:
(-1/4)x - 12 = x + 3
(-1/4)x = x + 15
-0.25x = x + 15
-60 = x
Pls help i need this so I can pass
Answer:
i cant see the photo, but i would love to help
Step-by-step explanation:
What is the approximate length of y? round to the nearest tenth of an inch. 1.4 in. 2.0 in. 2.8 in. 3.5 in.
The approximate length of "y" from the given diagram is 2.0inches
Volume of prismsThe formula for calculating the volume of a prism is expressed as:
V = lwh
l is the length
w is the width
h is the height
Given that V =4 cubic inches, hence:
4 = x * x* x
4 = x^3
x = ∛4
x = 1.587
Using the pythagoras theorem;
y^2 =1.587^2 +1.587^2
y^2 = 5.037
y = 2.0in
Hence the approximate length of "y" from the given diagram is 2.0inches
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Answer: B. 2.0
Step-by-step explanation:
edge 2023
A right triangle has one angle that measures 48°. What is the measure of the other acute angle?
Answer:
minus 48 to 90 then divide the answer by 2
Answer:
42°
Step-by-step explanation:
The 2 acute angles in a right triangle add up to 90°
90° - 48° = 42°
Hope this helps
a student is running a 3k race he runs 1 km race every 2 minutes select the function that describes his distance from the finish line
Answer:
-1/2 x + 3
Step-by-step explanation:
If a = 9 and b = 4, what is the value of 2a
-b?
Answer:
14
Step-by-step explanation:
2(9)-4=14
An elevation of-89ft.is 89 feet_______
See level.
Answer:
- sign indicates the fact that it's Below sea level
Which of the following is a geometric series? 6 13 20 27 7 21 35 45 14 21 28 35 2 14 98 686
The geometric series will be D. 2 + 14 + 98 + 686 because it is having a common ratio 7.
What is geometric series?In mathematics, a geometric series is the sum of an infinite number of terms that have a constant or common ratio between successive terms
A. 6 + 13 + 20 + 27 .
the difference between two terms are 13-6 = 7 , 20-13= 7
The terms are increasing by 7. So it is not geometric
B. 7 + 21 + 35 + 45
the difference between two terms are 21-6 = 14 , 35-21= 14
The terms are increasing by 14. So it is not geometric
C. 14 + 21 + 28 + 35
the difference between two terms are 21-14 = 7 , 28-21= 7
The terms are increasing by 7. So it is not geometric
D. 2 + 14 + 98 + 686
Here the difference is not same, so we find the ratio
14/2= 7
98/14= 7
686/98= 7
So common ratio is 7
When the common ratio is same then it is Geometric series
Hence the geometric series will be D. 2 + 14 + 98 + 686 because it is having a common ratio 7.
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Answer:
D
Step-by-step explanation:
multiplied by 7 each time
A tank is being filled with water at a rate of 5.5 gallons per
minute. Write the first five terms of the arithmetic sequence
being represented after each minute if the tank started with
10 gallons of water.
Arithmetic sqaure: a + (n-1) * d
where "a" is the first term, "d" is the common difference
Here given:
a = 10 gallons
d = 5.5 gallons
nth term: 10 + (n-1) * 5.5Solve for first 5 terms:
10 + (1-1) * 5.5 = 10
10 + (2-1) * 5.5 = 15.5
10 + (3-1) * 5.5 = 21
10 + (4-1) * 5.5 = 26.5
10 + (5-1) * 5.5 = 32
first five terms: 10, 15.5, 21, 26.5, 32
General formula
a_n=a+(n-1)da_n=10+(n-1)5.5So
a_1=10a_2=10+5.5=15.5a_3=10+11=21a_4=10+16.5=26.5a_5=10+22=32a_6=10+27.5=37.5x^2 - 72 = 6x
how to complete the square?
Answer:
x = 12 and x = -6
Step-by-step explanation:
First subtract 6x on both sides to get a 2nd degree polynomial equal to zero:
[tex]x^2-6x-72=0[/tex]
To complete the square, the formula is to divide 'b' by 2 and square the result. The general form for a 2nd degree polynomial of the variable 'x' is as follows:
[tex]ax^2+bx+c=0[/tex]
For your case, b = 6. Therefore, the term that must be added and subtracted to our equation is:
[tex](6/2)^2=3^2=9[/tex]
Add and subtract 9 to our equation to get:
[tex]x^2-6x+9-9-72=0[/tex]
The first three terms form a perfect square, we have:
[tex](x^2-6x+9)-9-72=0[/tex]
[tex](x^2-6x+9)-81=0[/tex]
What multiplies to equal 9 but adds to equal -6? That would be -3 and -3. Therefore:
[tex](x-3)^2-81=0[/tex]
Add 81 to both sides to get:
[tex](x-3)^2=81[/tex]
We want to take the square root, but recall a square root has a positive and negative branch. Therefore we have two solutions:
[tex]x-3=9[/tex]
[tex]x-3=-9[/tex]
[tex]x=12[/tex]
[tex]x=-6[/tex]
I need some help please
Answer:
24
Step-by-step explanation:
The way you calculate the volume of a shape is length x width x height. 4 x 3 x 2 = 24.
A triangle has sides with lengths of 13ft, 82ft, and 83ft. Is it a right triangle
Answer:
NOT a right triangle
Step-by-step explanation:
IF it is a right triangle, then the Pythagorean theorem would apply
13^2 + 82^2 = 83^2 ?????
169 + 6724 = 6889
6893 = 6889 ? No...it is NOT a right triangle
Make it quick please!
What are the coordinates of the hole in the graph of the function f(x)?
f(x)=x2−9/x−3
Factor out the numerator first
y=x²-9/x-3y=x²-3²/x-3y=(x+3)(x-3)/(x-3)y=x+3The hole is at x-3=0 i.e x=3
And
y=3+3=6The hole is at (3,6)
What is the value of 4(x−2)(x−3)+7(x−2)(x−5)−6(x−3)(x−5) when x=5? Type the answer in the box below.
Answer:
24
Step-by-step explanation:
when x = 5,
4(5-2)(5-3) + 7(5-2)(5-5) - 6(5-3)(5-5)
= 4(3)(2) + 7(3)(0) - 6(2)(0)
= 24
help help meeeeeee dont understAND
Answer:
2776 is the surface area.
Step-by-step explanation:
19 x 48 = 912 x 2 = 1824. 7 x 19 = 133 x 2 = 266. 49 x 7 = 343 x 2 = 686.
Answer:
2762
Step-by-step explanation:
The formula is:
2*(width*length+height*lenght+height*width)
2*(19*48+7*48+7*19)
this equals 2762
Write the missing number to make these equivalent fractions correct
?/20=2/5
Answer:
8
Step-by-step explanation:
From 5 to get to 20 it would be (X4), so we would do the same for the 2, and 2 times 4 would be 8. The answer is 8.
Solve the following equation. Then place the correct number in the box provided.
6(x - 1) = 4(x - 2)
Answer:
x = -1
Step-by-step explanation:
First we expand both sides :
Let's start with the right side:
6(x-1) = 6x-6
Now we do the left side:
4(x-2) = 4x-8
Now we add 6 to both sides:
(6x-6)+6 = (4x-8)+6
Simplify:
6x = 4x -2
Subtract 4x from both sides:
6x - 4x = (4x-2) - 4x
Simplify:
2x = -2
Divide both sides by 2:
2x÷2 = -2÷2
Simplify:
x = -1
I dont see a box so can't do the second part.
Hope this helps and brainliest please
How many meters are in 360in?
Answer:
9.411
Step-by-step explanation:
Answer:9.144
Step-by-step explanation:
Can someone see if my answers are correct!
Sorry i keep asking questions lol, im just really struggling with math and my teacher wont answer my emails! And my mom doesn't understand any of this even though she's good at math! :(
Answer:
Step-by-step explanation:
The cross sectional area of a basketball would indeed be a circle. The units for surface area would be meters squared. The units meters cubed would be volume. Area is inherently a 2-dimensional problem. Therefore, having 3-dimensional units makes no sense. In your case, the correct answer would be yards squared
Alex is 6 years older than Frank. The sum of their ages is 50. Find Alex's age and
Frank's age.
HELP
Answer: Alex 28
Frank 22
Step-by-step explanation: Age difference is 6. Addition is 50
help please. this doesn't make sense
Answer:
a = 39.2650873379cm
b = 11.5529459767cm
Step-by-step explanation:
a - Use the area of a triangle equation - 1/2 * a * b * Sin(C)
1/2 * 8 * 10 * Sin(79) = 39.2650873379cm
b - Use the cosine rule - c^2 = a^2 + b^2 - (2 * a * b * Sin(C)
64 + 100 - (2 * 8 * 10 * Cos(79)) = 133.4705607398
c = square root of 6.9396506484 = 11.5529459767cm
Put to however many significant figures / decimal places required.
:)
What is the slope of the line shown?
Answer:
slope = 1/2
Step-by-step explanation:
Pick two convenient integer coordinates
I'll use (0,-1) and (2,0)
slope = (y1-y2)/(x1-x2) = (-1-0) / ( 0-2) = 1/2
What is the slope of the line that passes through the points (-1, 6) and (14, 3)? Write your answer in simplest form.
the slope is m= -1/5.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.
y_2 - y₁ = m(x₂ - x₁).
here, we have,
the slope of the line that passes through the points (-1, 6) and (14, 3)
Slope: m= y_2 - y₁/(x₂ - x₁).
= 3-6/14+1
= -1/5.
hence, the slope is m= -1/5.
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The store pays 120 for a bike the store is going out of business and is selling all of the bikes at a 30% discount what is the sil price of the bicycle
The angle of elevation to a nearby tree from a point on the ground is measured to be 64^{
∘. How tall is the tree if the point on the ground is 49 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary
The height of the tree that forms an angle of 64 degrees and point from the tree is 49 feet is 100.46 ft
The situation forms a right angle triangle.
How to find the sides when given angle of elevationusing trigonometric ratios,
tan 64 = opposite / adjacent
Where
opposite side = height of the treeadjacent side = distance from the point on the ground from the tree.Therefore,
tan 64 = h / 49
cross multiply
h = 49 × tan 64
h = 49 × 2.05030384158
h = 100.464888237
h = 100.46 ft
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