[tex]4x+7=6x+4\\\\\implies 6x -4x = 7-4\\\\\implies 2x = 3\\\\\implies x =\dfrac 32[/tex]
Answer:
x= 3/2
Step-by-step explanation:
4x+7=6x+4
Step 1: Subtract 6x from both sides.
4x+7−6x=6x+4−6x
−2x+7=4
Step 2: Subtract 7 from both sides.
−2x+7−7=4−7
−2x=−3
Step 3: Divide both sides by -2.
-2x=-3
-2 -2
=
3/2
Please help fast
5. A mixture of paint is prepared by combining /2 parts of yellow paint with % parts
of blue paint. In the following table, find the missing values.
Parts of yellow paint
Parts of blue paint
Total parts
1/2
3/4
1 1/4
1
4 1/2
8
Answer:
I need helpw with this is too
Step-by-step explanation:
what does the point (60,20) mean in the graph math
If sixteen dried beans weigh one ounce, then how many dried beans wiring one pound
Answer:
96 dried beans will weigh one pound
An ice cream machine produced 45 ice cream sandwiches per minute. After reconditing, its speed increased to 54 ice cream sandwich's per minute. By what percent did the speed of the machine increase?
Number of ice cream produced before = 45
Number of ice cream produced after = 54
Find:Percent of speed the machine increase
Computation:Percent of speed the machine increase = [Number of ice cream produced after - Number of ice cream produced before] / Number of ice cream produced before
Percent of speed the machine increase = [(54 - 45) / 45]100
Percent of speed the machine increase = [9 / 45]100
Percent of speed the machine increase = 20%
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Percent of speed the machine increase is 20%
I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT. A 12-foot ladder is placed against a vertical Wall of a building with the bottom of the ladder standing on level ground 5 feet from the base of the building. How high up the wall does the ladder reach?
Answer: The wall of the ladder reaches 10.91 feet.
Explanation:
Formulate
√12^2 - 5^2
Evaluate
10.90871
Round
10.90871 ≈ 10.91
Therefore, the answer is 10.91 feet.
Answer:
10.91 feet
Step-by-step explanation:
Picture a right triangle with a hypotenuse of 12feet and a base of 5feet.
See the attachment.
Use the Pythagorean Theorem to solve.
Height = 10.91 feet.
The surface area of a box is 160 square inches. The length of the box is twice its width, and is 4 inches less than its height. What is the height of the box, in inches?
the height of the box is 9 inches
Answer:
solution given:
total surface area of a box=160 square inches
let length, width, and height be l,b, and h respectively.
according to the question:
l=2b
∴b =[tex]\frac{l}{2}[/tex]
l=h-4
∴ h=l+4
we have
total surface area of a box=160 square inches
2(lb+lh+bh)=160
[tex]2(l*\frac{l}{2}+l(l+4)+\frac{l}{2}*(l+4))=160[/tex]
[tex]2*\frac{l^2+2l^2+8l+l^2+4l}{2}=160[/tex]
[tex]4l^2+12l=160[/tex]
[tex]4(l^2+3l)=160[/tex]
[tex]l^2+3l=\frac{160}{4}[/tex]
[tex]l^2+3l-40=0[/tex]
doing middle term factorization
[tex]l^2+(8-5}l-40=0[/tex]
[tex]l^2+8l-5l-40=0[/tex]
taking common from each two terms
l(l+8)-5(l+8)=0
(l+8)(l-5)=0
either
l=-8[neglected as length is always positive]
or
l=5
now
b=[tex]\frac{5}{2} =2.5[/tex]
h=5+4=9
Step-by-step explanation:
A population of 100 cells triples every hour.
Write a function for the population p(t) where t represents the number of hours.
AnswerBABY BAYBY OOOOH
Step-by-step explanation:
Can someone tell me if this is correct if not please correct me in the wrong ones
Answer:
The answer to 2 is "acute".
The answer to 6 is "right triangle"
For 10, it actually is possible. An example is 50, 50, 80
Step-by-step explanation:
An acute triangle is when each angle is less than 90 degrees.
Any triangle with 90 degrees for one angle counts as a right triangle.
all angle measures in a triangle must add up to 180 degrees. Hope this helps!
I need some help with this question. It says: expand and simplify 5(x + 7) + 3(x - 2)
Answer:
8x+29
Step-by-step explanation:
open the brackets the collect like terms together
Cans of peas are on sale at 2 for $1.19 how much would 12 cans cost
Answer:uh 2 divide 1.19 and add 12 i think
Step-by-step explanation:
the side length of a square is n cm.
Answer:
(c) Alicia, Bart, and Diego's answers are equivalent
Step-by-step explanation:
The perimeter of a square is the sum of the side lengths
n + n + n + n . . . . . Alicia's answer
= (n +n) +(n +n) = 2n +2n . . . . . Diego's answer
= (2 +2)n = 4n . . . . . . Bart's answer
Alicia, Bart, and Diego's answers are equivalent.
What is the area, in square feet, of the shape below? Express your answer as a fraction in simplest form.
Which of the following is NOT a type of fat?
Saturated
Unsaturated
Trans-Fats
Fiber
Answer:
Fiber
Step-by-step explanation:
Fiber is a carbohydrate and not a fat ------ it is all the polysaccharides that humans can't digest.
Answer:
fiber is not a type of fat
I need these answers in 5 MINUTES PLZ HELP
Answer:
30? I might be wrong soooo
Step-by-step explanation:
15*2=30
What is the slope-intercept equation for the line below?
5
(5.4)
(0, 2)
y
O A. - - x + 2
B. yo * +2
C. v - -** +2
D. v=x+2
HELP?!!!!
Answer:
[tex]y=\frac{2}{5}x+2[/tex]
Step-by-step explanation:
(x1, y1) = (5, 4)
(x2, y2) = (0, 2)
First, find the slope. The slope formula is:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
I marked the 2 points above in that form, so you can plug those in here:
[tex]m=\frac{2-4}{0-5}\\\\m=\frac{-2}{-5}\\\\m=\frac{2}{5}[/tex]
The slope of this line is 2/5. Next, you can use that slope and whichever known point you want to find the y-intercept. Slope-intercept form is:
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept.
Plug in the slope we found for m and whichever point you want for (x, y):
[tex]2=\frac{2}{5}0+b[/tex]
Now, solve for b:
[tex]2=0+b\\b=2[/tex]
In this particular case, there wasn't much to be done. We already had a point at x = 0, and that is already our y-intercept. For similar problems though, that's how you would do it.
Finally, with both the slope and the y-intercept, you can write the equation:
[tex]y=\frac{2}{5}x+2[/tex]
What are the steps to convert a number from standard notation to scientific notation
Answer:
Step-by-step explanation:
Let's take 4200 as an example.
To convert 4200 into scientific notation, follow these steps:
- Move the decimal 3 times to left in the number so that the resulting number, m = 4.2, is greater than or equal to 1 but less than 10
- Since we moved the decimal to the left the exponent n is positive
n = 3
- Write in the scientific notation form, m × 10^n
= 4.2 × 10^3
Therefore, the decimal number 4200 written in scientific notation is 4.2 × 10^3 and it has 2 significant figures.
What is 39,800,000 in scientific notation? A. 3.98 x 10 B. 398 x 10 C. 3.98 x 10 D. 39.8 x 10
Answer:
3.98 x 10^7
Step-by-step explanation:
Answer:
3.98 x 10⁷Review:
What is scientific notation: It is a number that is between 1-10 and is written in exponents.
Instruction:
We need to re-write the number "39,800,000" that is between 1-10 and is written in exponents.
Solution:
=> 39,800,000 = 398 x 10⁵This is still not in scientific notation form because it is not between 1-10. Let's simplify further.
=> 398 x 10⁵ = 3.98 x 10⁵⁺²=> 3.98 x 10⁷This is now in scientific notation form because it follows the 2 reasons to form a scientific notation.
Conclusion:
Therefore, 3.98 x 10⁷ is the number in scientific notation.
[tex]BrainiacUser1357[/tex]
A line passes through the points (-4,1) and (-3,3). This line can be modeled by the equation y
Complete the table to determine the values of m and b.
Answer:
A
Step-by-step explanation:
answer this pleaseeeee
Answer:
Each goat gets 3 carrots and there are 4 extra carrots left
Step-by-step explanation:
5*3=15
OR: If you wanted to do it exact you give each goat 3 carrot's and an 1/8th of one and you'd have no extra carrots left.
5*3.8=19
Answer:
the answer is simple 3 remainder of 4
Step-by-step explanation:
so he had 5 goats and 19 carrots
19/5=3.8 which mean 3 and 4 left
Help me please this is due in 3 hour's
At the beginning of a trip, the tank of Diana’s car was filled with gasoline to half of its capacity. During the trip, Diana used 30 percent of the gasoline in the tank.
At the end of the trip, Diana added 8 gallons of gasoline to the tank.
Let the capacity of the tank of Diana’s car be x gallons. Write an expression representing the number of gallons of gasoline in the tank after Diana added gasoline to the tank at the end of the trip? Enter an expression in the simplified form.
Capacity of tank be x
At end of journey the tank was half filled.
Hence x/2 filledNow used percentage is 30%
[tex]\\ \sf\longmapsto \dfrac{30x}{200}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3}{20}x[/tex]
Now
added gasoline=8gallonExpression:-
[tex]\\ \sf\longmapsto \dfrac{3}{20}x+8[/tex]
-3x + 4y = -15 and 4x - y = -19
4x - y = -19
=> -3x + 4y = -154(4x - y) = 4(-19)
=> -3x + 4y = -1516x - 4y = -76
=> 13x = -91=> x = -7Now, let's substitute the 'x' value in the equation.
=> -3(-7) + 4y = -15=> 21 + 4y = -15=> 4y = -21 - 15=> 4y = -36=> y = -9Conclusion:Therefore, the answers are:
x = -7y = -9Hoped this helped.
[tex]BrainiacUser1357[/tex]
Answer:
(-7, -9).
( x = -7 and y = -9)
Step-by-step explanation:
-3x + 4y = -15
4x - y = -19
Multiply second equation by 4:
16x - 4y = -76
Add this equation to the first to eliminate y:
13x = -15 + -76
13x = -91
x = -7.
Substitute this into equation 2:
4(-7) - y = -19
-y = -19 + 28
-y = 9
y = -9.
Simplify: 1/6x + 42 + 2/5x - 8/3 -19
A: 97/30x + 23
B: 21/10x - 23
C: -21/10x + 23
D: 97/30x - 23
Answer:
A: 97/30x + 23
What is the difference between log(x/y) and log(x)/log(y)?
Different cities have different sales tax rates. Here are the sales tax charges on the
same items in two different cities. Complete the tables.
City 1
total cost
item
price
(dollars)
sales tax
(dollars)
(dollars)
8.00
0.48
8.48
paper towels
25.00
1.50
lamp
1.00
pack of gum
laundry soap
12.00
х
Answer:
city 1
paper towels 8.00 0.48 8.48
lamp 25.00 1.50 26.50
pack of gum 1.00 0.06 1.06
laundry soap 12.00 0.72 12.72
46.00 2.76 48.76
city 2
paper towels 8.00 0.64 8.64
lamp 25.00 2.00 27.00
pack of gum 1.00 0.08 1.08
laundry soap 12.00 0.96 12.96
46.00 3.68 49.68
Which equation is perpendicular to y=4x-6 and passes through point (B, 12)
Answer:
asdasd
Step-by-step explanation:
asdasdasd
please help!
the subject is 9th-grade geometry honors
I need help finding the length for this problem.
hurry plz!!! I need help
Answer: See below
Step-by-step explanation:
The general transformation equation for an absolute value function is
y=a | x−h |+k.
f(x)=|x+4|
Horizontal translation 4 units left (positive value, move left)
f(x)=|x|-4
Vertical translation down 4 units (negative k value, move down)
f(x)=|x-4|
Horizontal translation 4 units right (negative value, move right)
f(x)=|x|+4
Vertical translation up 4 units (positive k value, move up)
algebric expressions formula
Answer:
a2 – b2 = (a – b)(a + b)
(a + b)2 = a2 + 2ab + b
a2 + b2 = (a + b)2 – 2ab
(a – b)2 = a2 – 2ab + b
That's all i know- rip TvT
A ratio of a TV's width to its height is 16:9. If its width is 32 inches, what is the length of its diagonal? Give your answer to the nearest tenth of an inch.
Answer:
36.7
Step-by-step explanation: