Answer:
1. 2507.034 g
2. 1243mg
0.001243kg
1,243,000 mcg
3. 162.5g
Step-by-step explanation:
1. First of all we need to convert 30mg and 2.5kg to gram.
⇒ 1 gram = 1000 milligrams
x = 35mg
⇒ 1000mg(x) = 35mg
⇒ x = 35mg = 35 = 0.035g
1000mg 1000
Next we convert 2.5kg to gm.
⇒ 1 kilogram = 1000g
2.5kg = x
(We then criss cross)
⇒ x = 2.5kg × 1000g = 2500g = 2500g
1kg 1
Now that we converted them all to gram, we will add them.
⇒ 30mg + 2.5kg + 7g = 0.035g + 2500g + 7g = 2507.035 ≈ 2507g
2. We convert 1.234g into
a. mg
⇒ 1 gram = 1000 milligram
1.243g = x
⇒ x = 1.243g × 1000mg = 1243mg = 1243mg
1g 1
b. kg
⇒ 1 kilogram = 1000gram
x = 1.243 gram
⇒ x = 1.243g × 1kg = 1.243kg = 0.001243kg = 1.243 × 10⁻³ kg
1000g 1000
c. mcg
⇒ 1 gram = 1000000mcg
1.243g = x
⇒ x = 1.243g × 1,000,000mcg = 1,243,000mcg = 1,243,000mcg
1 g 1
3. We need 500 aspirin, the amount of grams needed and we know that one tablet contains 325mg.
So now we can derive the formula such that:
⇒ 1 tablet = 325mg
500 tablet = x
But first we need to convert 325mg to grams.
⇒ 1 gram = 1000mg
x = 325mg
⇒ x = 325mg × 1 g = 325g = 0.325g
1000mg 1000
So now instead of using 325mg we can use 0.325g.
⇒ 1 tablet = 0.325g
500 tablets = x
⇒ x = 500 tablets × 0.325g = 162.5g = 162.5g
1 tablet 1
Jill, Ally, and Maria ran the 50-yard dash. Jill ran the race in 6.87 seconds. Ally ran the race in 6.82 seconds. Maria ran the race in 6.93. Who ran the race the fastest? Explain how you can use a place-value chart to find the answer.
Answer:
Ally
Step-by-step explanation:
The fastest time of the race will be the one lesser in value.
=============================================================
Comparing the tenths place :
⇒ Jill = 8 in the tenths place
⇒ Ally = 8 in the tenths place
⇒ Maria = 9 in the tenths place
Since Maria's time's tenth place value is greater than that of the other two, she had the slowest time.
===========================================================
Comparing the hundredths place (for Jill and Ally) :
⇒ Jill = 7 in the hundredths place
⇒ Ally = 2 in the hundredths place
Since Ally has the lower hundredths' place value, she has the fastest time.
Find the value of x.
X
4
[?]
X =
Enter the number that belongs in
the green box.
Answer:
√33
Step-by-step explanation:
it is a right triangle and we use Pythagoras
x² = 7² - 4²
x² = 49 - 16
x² = 33
x = √33
The length of a rectangle is 3m less than double the width, and the area of the rectangle is 65m^2 .
What is the length & width of the rectangle?
By solving a quadratic equation, we will see that the length is 10m and the width is 6.5m
How to find the length and width of the rectangle?For a rectangle of width W and length L, the area is:
A = W*L
In this case, we know that the area is 65m² and that the length is 3 meters less than 2 times the width, so:
L = 2*W - 3m
Then we can write:
65m² = (2*W - 3m)*W = 2*W² - 3m*W
This is a quadratic equation:
2*W² - 3m*W - 65m² = 0.
The solutions are given by the Bhaskara's formula:
[tex]W = \frac{3 \pm \sqrt{(-3)^2 - 4*2*(-65)} }{2*2} \\\\W = \frac{3 \pm 23 }{4}[/tex]
We only care for the positive solution, which is:
W = (3m + 23m)/4 = 26m/4 = 6.5m
Then the length is:
L = 2*6.5m - 3m = 10m
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Solve for the variable: 4+3(x+22)=5x-10
When we solve the equation, we will get the real answer x=40 as a variable.
First Degree EquationFirst degree equation is a mathematical sentence, which has values represented by letters.
These letters can indicate a variable or an unknown - which at the end of the equation will be the final value.
— To solve this equation, just: apply the distributive property (multiply the terms that are outside the parentheses, for the terms that are inside the symbol).
— Next, let's add the real numbers together. Next, we'll subtract the like terms before the equality, thus moving the common term after the equality by adding.
— Finally, let's divide the equation, thus obtaining the final result.
4 + 3(x + 22) = 5x - 10
4 + 3x + 66 = 5x - 10
70 + 3x = 5x - 10
3x - 5x = -10 - 70
-2x = -80
x = 80 ÷ 2
x = 40
Therefore, the correct value of X in this equation, will be x = 40.
The seventh-grade students at Charleston Middle School are choosing one girl and one boy for student council. Their choices for girls are Michaela (M), Candice (C), and Raven (R), and for boys, Neil (N), Barney (B), and Ted (T). The sample space for the combined selection is represented in the table. Complete the table and the sentence beneath it.
Boys
Neil Barney Ted
Girls Michaela N-M
T-M
Candice N-C
T-C
Raven N-R
T-R
The new sample size based on the information will be B-M, B-C, B-R, 8.
What is a sample size?Sample size is the number of participants or observations that are included in a study. This is usually represented by n.
When the boys and girls are to be chosen, the new sample size based on the information will be B-M, B-C, B-R, 8.
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Answer:
Step-by-step explanation:
B-M, B-C, B-R, 8.
Please Simplify
3(4x2+2x)+2(5x2+x)
What is the angle of rotation of the figure?
300
Answer:
The angle of the figure is 90°
Which of the following numbers is not an integer? A -32 B 80 C 5.81 D 0 O
Answer: C.5.18 because you cant have a decimal as an integer
Step-by-step explanation: brainliest???
el cociente de un numero y 6
Answer:
No Hablo Espaniol
Step-by-step explanation:
Using the change-of-base formula, which of the following is equivalent to the
logarithmic expression below?
log5 13
Answer:
See below
Step-by-step explanation:
There could be INFINITE possibilities....(you didn't list any choices to choose from)
here is one to change to base 10
log5 ( 13) = log10 ( 13) / log10 ( 5)
x+2y+3z = 12
x-3y + 4z=27
-x+y+2z=7
Show work
Answer:
x=1
y=−2
z=5
(heres how i got the answer)
Step-by-step explanation:
x+2y+3z=12
x−3y+4z=27
−x+y+2z=7
Solve x+2y+3z=12 for x.
x=−2y−3z+12
Substitute −2y−3z+12 for x in the second and third equation.
−2y−3z+12−3y+4z=27
−(−2y−3z+12)+y+2z=7
Solve equations for y and z respectively.
y=−3+
5
1
z
z=
5
19
−
5
3
y
Substitute −3+
5
1
z for y in the equation z=
5
19
−
5
3
y.
z=
5
19
−
5
3
(−3+
5
1
z)
Solve z=
5
19
−
5
3
(−3+
5
1
z) for z.
z=5
Substitute 5 for z in the equation y=−3+
5
1
z.
y=−3+
5
1
×5
Calculate y from y=−3+
5
1
×5.
y=−2
Substitute −2 for y and 5 for z in the equation x=−2y−3z+12.
x=−2(−2)−3×5+12
Calculate x from x=−2(−2)−3×5+12.
x=1
The system is now solved.
x=1
y=−2
z=5
Julie puts 67 blue buttons in a bag. This number is 13 more than half the number of red buttons. The number of yellow buttons is one quarter the number of red buttons. How many yellow buttons are there in the tin?
Answer:
[tex]13 \times 1 \div 67 [/tex]
The median height of the players on my basketball team is 6 feet, A inches. What is the shortest that the tallest player on the team could possibly be?
find the area of the triangle ABC
Answer:
1/2 x 8 x 6
answer: 24
Step-by-step explanation:
formula of area of triangle= 1/2 x base x height
Logic and proof , need help asap
Answer:
Step-by-step explanation:
Describe the slope of this line of best fit
Answer:
there is no line
Solve Y/-6 + 5 = 9
It’s Algebra 1
Answer:
Y = - 24
Step-by-step explanation:
Y/-6 +5=9 /*6 (Multiply the whole equation by the number 6 to eliminate the fraction. That is, you multiply each member of the equation by 6 because 6 is in the denominator of the fraction.
[tex]\frac{Y}{-6} *6=-Y[/tex], [tex]5*6=30[/tex], [tex]9*6=54[/tex]
-Y + 30 = 54
-Y = 54-30
-Y=24 /*(-1)
Y= -24
Question 2 of 8
Which choice is equivalent to the fraction below?
17/2
O A. 7.12
OB. 7-12
O C. 12 ÷7
O D. 7 ÷ 12
Answer: [tex]17 \div 2[/tex]
Step-by-step explanation:
[tex]a/b[/tex] is the same thing as [tex]a \div b[/tex]
Name the polygon shape in the picture below.
Answer:
There are eight sides so it's an octagon
Step-by-step explanation:
The means and mean absolute deviations of the individual times of members on two 4 times 400 meter relay track teams are shown in the table below.
Means and Mean Absolute Deviations of
Individual Times of Members of 4 times 400 meter Relay Track Teams
Team A
Team B
Mean
59.32 s
59.1 s
Mean Absolute Deviation
1.5 s
2.4 s
What is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B?
0.09
0.15
0.25
0.65
The correct answer is option C which is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B will be 0.25.
What is mean?Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.
The difference between the mean times is about 16 times the mean absolute deviation of the data set.
59.32 - 59.1 = 0.22
2.4 - 1.5 = 0.9
0.22 / 0.9 = 0.25
Therefore the correct answer is option C which is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B will be 0.25.
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Answer:
c
Step-by-step explanation:
Practise the Skill 5
a) Josie is going to a conference in 48 hours
How many days is this?
ABCD is a parallelogram. Determine the length of AD.
Answer:
D) 10 units
Step-by-step explanation:
Opposite sides of a parallelogram are congruent.
__
setupThe relation between opposite sides tells you ...
BC = AD
2x = x +5
solutionx = 5 . . . . . . . subtract x from both sides of the equation
We want the length of AD, which is ...
AD = x +5 = 5 +5
AD = 10
_____
Additional comment
Often, it seems like the question is answered once the value of x is found. Here, finding the value of x is an intermediate step. The value of x is needed in order to be able to answer the question about the value of an expression involving x.
Answer:
10
Step-by-step explanation:
→ Equate both sides of the parallelogram as they are equal
2x = x + 5
→ Solve
x = 5
→ Resubstitute for the length AD
5 + 5 = 10
7. What is the value of x?
Answer:
29
the triangle on the right has 2 sides the same so the lower two corners have the same angle which would be (180-64)/2 = 58 degrees
the lower right angle of the triangle on the left Sadie would be 180-58 = 122.
Since 2 sides of the triangle on the left are the same the other two angles would be equal to each other.
x = (180-122)/2 = 29 degrees
Answer:
x = 29°
Explanation:
The triangle on right side is an isosceles triangle with two similar angles.
Let that angle be z:
⇒ z + z + 64° = 180°
⇒ 2z = 180° - 64°
⇒ 2z = 116°
⇒ z = 58°
After finding z, find the opposite angle:
⇒ 180° - 58° = 122°
Find the value of x:
⇒ x + x + 122° = 180°
⇒ 2x = 180° - 122°
⇒ 2x = 58°
⇒ x = 29°
48 / 48 hrs Completed, Read watch every Single thing and answer it in comments.
48 / 48 = ?
Answer:
1
Step-by-step explanation:
48 / 48 = 1
an elevator descends into a mine shaft at the rate of 6 m/min. if the descent starts from 10m above the ground level, how long will it take to reach -350m.
what is the answer to 7 times 6
Answer:
[tex]7 \times 6 = 42[/tex]
f(x) = x². What is g(x)?
Answer:
Which class is this
I can't believe the question
Find the common denominator needed to subtract the following fractions. 5/6 -2/7 =
Answer:
42
Step-by-step explanation:
We need to find the Least Common Multiple (that isn't 0) between 6 and 7. To do this, list each number's multiples.
Multiples of 6: 0, 6, 12, 18, 24, 30, 36, 42, 48, 54
Multiples of 7: 0, 7, 14, 21, 28, 35, 42, 49, 56, 63
Their LCM is 42. Now, we multiply the fractions so the denominators are both 42. !You have to multiply both the numerator and denominator by the same number! For 6, 6*7 is 42, so you multiply both 6 and 5 by 7. When you do this, you get 35/42. For 7, 7*6 is 42, so you have to multiply both 7 and 2 by 6. When you do this, you get 12/42. The new problem is 35/42-12/42.
Hope this helps!
What is the surface area of the solid that this net can form?
13 cm
5cm
13cm
5 cm
13 cm
106 square centimeters
150 square centimeters
210 square centimeters
270 square centimeters
O 210
12 cm
12cm
13cm
5cm
5cm
5cm
5 cm
Answer:C Or 210 Sc
Step-by-step explanation:
A wholesaler gets 1.5% commision on the total annual sales and a bonus of 2% on the sales above Rs. 20,00,000. If, in a particular yearm the wholesaler recieved as bonus and commision the sum of Rs. 65000 in all, find the total sales of the year.
The total sales of the year after is Rs. 1857143
How to find the total sales after commission?He gets 1.5% commission on the total annual sales and a bonus of 2% on the sales above Rs. 20,00,000.
Therefore, since he received a bonus, the sale is over Rs. 20,000.
Hence,
let
x = total sales
Therefore,
1.5% of x + 2% of x = 65000
1.5 / 100 × x + 2 / 100 × x = 65000
0.015x +0.02x = 65000
0.035x = 65000
x = 65000 / 0.035
x = 1857142.85714
Therefore,
total sales = Rs. 1857143
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