Answer:
30.0g
Step-by-step explanation:
In order to determine the amount of each chemical to the nearest tenth of gram prior to computing the sum is shown below:
Like
10.357, 57 > 50, rounded to 10.4
12.062, 62 > 50, rounded to 12.1
7.506, 06 < 50, rounded to 7.5
Now
The Sum is
= 10.4g + 12.1g + 7.5g
= 30.0g
Hence, 30.0g medicine required to make in grams
Please answer question now
Answer:
90
Step-by-step explanation:
Tangents drawn to a circle from an external point are equal, thus
IH = IJ = 7
ON = OH = 19 - 7 = 12
MN = ML = 26 - 7 = 19
Summing the 4 sides for perimeter (P)
P = 26 + 19 + 7 + 7 + 12 + 19 = 90
Write an equation for the line in the graph that passes through the points (0,4) and (12,16).
Answer:
We have,
y-y1=m(x-x1)
or,y-4=-1(x-0)
or,y-4=-x
or,x+y=4 is the required equation
Step-by-step explanation:
it it helps u ...plz mark it as brainliest
Which equation represents the line that is perpendicular to y=3/4x+1 and passes through (-5,11)
Will give brainliest!!
Answer:
y = - [tex]\frac{4}{3}[/tex] x + [tex]\frac{13}{3}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{3}{4}[/tex] x + 1 ← is in slope- intercept form
with slope m = [tex]\frac{3}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{3}{4} }[/tex] = - [tex]\frac{4}{3}[/tex] , thus
y = - [tex]\frac{4}{3}[/tex] x + c ← is the partial equation
To find c substitute (- 5, 11) into the partial equation
11 = [tex]\frac{20}{3}[/tex] + c ⇒ c = 11 - [tex]\frac{20}{3}[/tex] = [tex]\frac{13}{3}[/tex]
y = - [tex]\frac{4}{3}[/tex] x + [tex]\frac{13}{3}[/tex] ← equation of perpendicular line
The equation of the line that passes through (-5, 11) and perpendicular to y = (3/4)x + 1 is
y = -2x + 1
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
y = (2/4)x + 1 is in the form of y = m(2)x + c
So,
m(2) = 2/4 = 1/2
The equation of the line y = m(1)x + c is perpendicular to y = (2/4)x + 1.
So,
m(1) x m(2) = -1
m(1) = -1/(1/2)
m(1) = -2
Now,
y = -2x + c passes through (-5, 11).
This means,
11 = -2 x (-5) + c
11 = 10 + c
11- 10 = c
c = 1
Thus,
The equation of the line is y = -2x + 1.
Learn more about equation of a line here:
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Convert to slope-intercept from: y-4=9(x-7)
Answer:
y = 9x - 59
Step-by-step explanation:
y - 4= 9(x-7)
y - 4 = 9x - 63
y - 4 + 4 = 9x - 63 + 4
y = 9x - 59
Answer:
Below
Step-by-step explanation:
● y-4 = 9(x-7)
Multiply 9 by (x-7)
● y-4 = 9x - 63
Add 4 to both sides
● y-4+4 = 9x-63 +4
● y = 9x - 59
Find the missing length. A. 60 B. 80 C. 64 D. 15
Step-by-step explanation:
the answer to the question is C. 64.
If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (fog)(x)?
(3x + 2)(x2 + 1)
O 3x 2 + 1 + 2
(3x + 2)2 + 1
3(x2 + 1) + 2
Answer:
This means you would plug in g(x) into f(x).
Step-by-step explanation:
It would look like this:
[tex]3(x^{2} + 1) + 2[/tex]
William and
Debra
Pierce are celebrating their
20th anniversary by having a reception at a local reception hall. They have budgeted
$2,000 for their reception. If the reception hall charges a
$50 cleanup fee plus
$36 per person, find the greatest number of people that they may invite and still stay within their budget.
Answer:
54
Step-by-step explanation:
i put in the calculator 50+36×54= and got this 1,994
Each packet of the cooking oil weighs 2/5th of a kilogram and one kilogram of the cooking oil costs $6.5. Sara went to the grocery shop to buy some items to stock her kitchen. If she bought 8 packets of the cooking oil, how much money did she spend? A $19.60 B $18.20 C $20.80 D $23.40
Answer:
C) $20.80
Step-by-step explanation:
1 kg of cooking oil = $6.5
1 packet of cooking oil =2/5 kg
If 1 kg of cooking oil = $6.5
2/5kg of cooking oil = $X
Cross Multiply
1kg × $X = 2/5kg × $6.5
$X = 13/5
$X = 2.6
Hence 2/5kg of oil cost $2.6
Since 1 packet of oil = 2/5kg of oil , 1 packet of oil cost $2.6
The amount she spent if she bought if she bought 8 packets of the cooking oil is calculated as:
1 packet of oil = $2.6
8 packets of oil =
$2.5 × 8
= $20.80
Therefore,if Sara bought 8 packets of oil, the amount she would spend = $20.80
If a polygon has an area of 10 cm² and is dilated by a factor of 2, what will be the area of the dilated polygon?
Area depends on the product of sides,
so if the sides are shortened by a factor of 2, area will reduce by a factor of 4. (2×2)
new area = 10/4=2.5 cm²
Please answer this question now
Answer:
AB = 72°
Step-by-step explanation:
The inscribed angle ADC is half the measure of its intercepted arc, thus
56° = [tex]\frac{1}{2}[/tex] ( m ABC ) ← multiply both sides by 2
112° = ABC
ABC = AB + BC = AB + 40, so
AB + 40 = 112 ( subtract 40 from both sides )
AB = 72°
Combine the radicals. 2√24+5√54 A) 53√6 B) 5√6 C) 19√6 D) 93√6
Answer:
The answer is option CStep-by-step explanation:
2√24 + 5√54
To combine the radicals first make sure the radicals have the same square root
That's
For 2√24[tex]2 \sqrt{24} = 2 \sqrt{4 \times 6} = 2 \times 2 \sqrt{6} [/tex][tex] = 4 \sqrt{6} [/tex]For 9√54[tex]5 \sqrt{54} = 5 \sqrt{9 \times 6} = 5 \times \sqrt{9} \times \sqrt{6} [/tex][tex] = 5 \times 3 \times \sqrt{6} [/tex][tex] = 15 \sqrt{6} [/tex]Since they have the same square root we can combine them
That's
[tex]4 \sqrt{6} + 15 \sqrt{6} = (4 + 15) \sqrt{6} [/tex]We have the final answer as
[tex]19 \sqrt{6} [/tex]Hope this helps you
Evaluate the expression for the given value of the variable. −3x3, when x = 4
Answer:
The answer is - 192Step-by-step explanation:
The expression
- 3x³
To find the value of the expression when
x = 4 substitute the value of x that's 4 into the expression
We have
- 3(4)³
= - 3( 64)
The final answer is
- 192Hope this helps you
Which of the following systems has (1,−1) as a solution? 1. 3x−2y=1 5x+3y=8 2. 3x+2y=1 5x+3y=−8 3. 3x+2y=1 5x−3y=8 4. 2x+3y=1 5x−3y=−8
2. 3x+2y= 1 and 5x+3y=-8
solution: In picture.
PLEASE help me with this question! This is really urgent! No nonsense answers please, and answer with full solutions!
Answer:0.80
Step-by-step explanation:please i don't really know how to explain this i am very sorry
A classroom floor has an area of
(30x^3 + 8x^2, with a width of 2x feet.
What is the length of the floor?
Answer:
15x² + 4x feet
Step-by-step explanation:
We need to calculate (30x³ + 8x²) / 2x.
(30x³ + 8x²) / 2x
= 30x³ / 2x + 8x² / 2x
= 15x² + 4x
7 liters of gasoline between their 4 cars. How many liters of gasoline should each car get?
Answer:
1.75 liters for each car.
Step-by-step explanation:
Divide:
*7 / 4 = 1.75.
Check:
*1.75 x 4 = 7.
Clinton is having a coin drive. Each class has a goal of 600 pennies.Layla has already collected 338 pennies. How many more pennies does Layla need to collect to reach their goal. PLEASE SHOW YOUR WORK I WILL MARK YOU BRAINLIEST PLEASE AND EXPLAIN HOW YOU GOT YOUR ANSWER
Answer:
262 pennies
Step-by-step explanation:
If Layla already has 388 pennies and she needs 600 pennies total, all she needs to do is is take the amount she already has away from 600:
(48. PERSEVERE Wha
PERSEVERE What is the greatest number of planes determined using any three of
the points A, B, C, and D if no three points are collinear?
Answer: 4
Step-by-step explanation:
We know that a plane is 2 dimensional surface that extends infinitely far.
The number of points required to define a plane = 3
Here , we have 4 points A, B, C, and D.
So, the number of possible combinations of 3 points to make a plane from 4 points = [tex]C(4,3)[/tex]
[tex]=4[/tex] [ [tex]C(n,n-1)=n[/tex] ]
Hence, the greatest number of planes determined using any three of the points A, B, C, and D if no three points are collinear = 4.
I need help with multistep equations
Answer:
1 2/3 = m
Step-by-step explanation:
2/3 = m+3/5 -8/5
Combine terms
2/3 = m-5/5
2/3 = m -1
Add 1 to each side
2/3 +1 = m-1+1
2/3 +3/3 = m
5/3 = m
1 2/3 = m
Answer:
[tex]\large \boxed{\sf m = \frac{5}{3} }}[/tex]
Step-by-step explanation:
2/3 = m + 3/5 - 8/5
Subtract the fractions since the denominators are same.
2/3 = m -5/5
Simplify the equation.
2/3 = m - 1
Add 1 to each side.
5/3 = m
What is the result when the number 90 is decreased by 10%
Answer:
81
Step-by-step explanation:
First find the amount decrease
90 * 10 %
90 * .10
9
90 decreased by 9
90 -9
81
Answer:
81
Step-by-step explanation:
Turn into decimal.
10% = 0.1
Multiply
90 * 0.1 = 9
Subtract
90 - 9 = 81
Best of Luck!
2.) Which expression has a value of -4?
A. (4) B. 1-41
C. 141
D.-141
3.) Which list of integers is in order from least to greatest?
A. -4,-7,0, 2
B. 0, 2, -4,-7
C-7, -4,0,2
D 2,0, -7,-4
I
4.) What is the value ofthe expression?
A -45 B. 19 C. 19
11+-24 + (-32)
D. 67
5.) Find the difference.
A. -47 B. -17
-32-(-15)
C. 17 D. 47
P
The two-way frequency table below shows data on years working with the company and college degree status for Tom's coworkers. Complete the following two-way table of row relative frequencies. (If necessary, round your answers to the nearest hundredth.)
Answer:
Lets start with the top row.
First, add the two values.
5+14=19
Now, divide each value by the total.
5/19=0.26315789473
Round the decimal to the nearest hundredth.
5/19=0.26
14/19=0.73684210526
Round it to the nearest hundredth.
14/19=0.74
Now, The second row.
Add the two values.
16+7=23
Divide the first value by the total.
16/23=0.69565217391
Round it to the nearest hundredth.
16/23=0.70
Divide the second value by the total.
7/23=0.30434782608
Round to the nearest hundredth.
7/23=0.30
Done!
Answer:
Row 1: 0.26 0.74
Row 2: 0.70 0.30
Step-by-step explanation:
Khan
A VERTICAL POLE OF CAST A SHADOW OF 4.5m LONG AT THE SAME TIME A TREE OF HEIGHT 24m LONG CAST A SHADOW OF 6m LONG. FIND THE HEIGHT OF THE POLE.
Answer:
18 metres
Step-by-step explanation:
4.5/6 = x/24
¾= x/24
x = 18 m
2y² +4y-48=0
solve the equation
Answer:
y = - 6, y = 4
Step-by-step explanation:
Given
2y² + 4y - 48 = 0 ( divide through by 2 )
y² + 2y - 24 = 0
Consider the factors of the constant term (- 24) which sum to give the coefficient of the y- term (+ 2)
The factors are + 6 and - 4 , since
6 × - 4 = - 24 and 6 - 4 = + 2 , thus
(y + 6)(y - 4) = 0
Equate each factor to zero and solve for y
y + 6 = 0 ⇒ y = - 6
y - 4 = 0 ⇒ y = 4
Answer:
Step-by-step explanation:
2y² + 4y - 48 = 0
2y² + 12y - 8y + (-8)* 6 = 0
2y(y + 6) - 8(y + 6) =0
(y + 6) (2y - 8)= 0
y + 6 = 0 ; 2y- 8 = 0
y = -6 2y = 8
y = 8/2
y = 4
Solution: y = -6 , 4
A balloon artist creates balloon hats for children at a store’s grand opening. The graph shows the number of balloons the artist has remaining, y, after creating x hats.
A coordinate plane showing Balloon Hat Creations. The x-axis shows Number of Balloon Hats and the y-axis shows Balloons Remaining. The straight line starts at (0. 500) and continues down and to the right through points, (50, 250) and ends at (100, 0).
What phrases can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created? Select three options.
positive slope
negative slope
constant slope
increasing function
decreasing function
Answer:
B, C, E
Step-by-step explanation:
I just took the test
Answer:
i dont know if im correct but
Step-by-step explanation:
B, C, and E are the right ones hope it helps
Find the remainder when x^3-ax^2 +6x -a is divided by x-a
Answer:
When x^3 - ax^2 + 6x -a is divided by x-a
Remainder = 5a
What is the width of the rectangle shown below?
4x + 3
A = 8x2 – 10x – 12
Answer:
2x-4Step-by-step explanation:
Area of a rectangle = Length * Width
Given parameters
Area A = 8x2 – 10x – 12
Length of the rectangle = 4x+3
Required
Width of the rectangle.
Substituting the given parameters into the formula
8x2 – 10x – 12 = (4x+3)*width
width = 8x2 – 10x – 12 /4x+3
S
Factorizing the numerator
8x² – 10x – 12
= 2(4x²-5x-6)
= 2(4x²-8x+3x-6)
= 2(4x(x-2)+3(x-2))
= 2(4x+3)(x-2)
Width = 2(4x+3)(x-2)/4x+3
Width = 2(x-2)
Width = 2x-4
Hence the width of the rectangle is 2x-4
Find the perimeter of the rectangle with a A. 11 in. B. 22 in. C. 28 in. D. 56 in.
Answer:
B.22
Step-by-step explanation:
4+4+7+7=22
Morgan rewrote the expression 90 + (10 + 4.8) as (90 + 10) + 4.8. How will this change the work that is needed to evaluate the expression? PLZ I NEED THIS PLZ HELP ME
Answer: Because of PEMDAS, the way Morgan rewrote the expression would change the the order of the steps to simplify it.
Step-by-step explanation: PEMDAS is the order of operations and it stands for Parenthesis, Exponents, Multiply, Divide, Addition, and Subtraction. If we simplify Morgan's version of the expression, we would add 90+10 first, which makes 100, then add 4.8 which makes 104.8. We come to the same conclusion when simplifying the original expression, 104.8. The difference is that we add 10+4.8 first and then add it to 90. While in this situation, the outcome was not different, the order of operations was changed.
You own a farm and have several fields in which your livestock grazes. You need to order barbed-wire fencing for a small pasture that has a length of 5 yards and a width of 3 yards. The barbed wire must be long enough to be placed on all four sides of the outside pasture. How many yards of barbed-wire should you order?
Answer:
16 yards of barbed wire
Step-by-step explanation:
Length=5 yards
Width=3 yards
Perimeter of the pasture=2(length + width)
=2(5 yards +3 yards)
=2(8 yards)
=16 yards
You should order 16 yards of barbed wire for fencing the pasture
