Answer:
13 protons
14 neutrons
13 electrons
Step-by-step explanation:
protons and electrons are mostly always the same
Answer:
Number of Protons 13
Number of Neutrons 14
Number of Electrons 13
Write an expression for the perimeter of the triangle shown below: (4 points)
A triangle is shown with side lengths labeled 0.5x plus 9, 3x, and negative 3.4x minus 25.
A 6.9x − 16
B 6.9x + 16
C 0.1x − 16
D 0.1x + 16
Answer:
The expression of the perimeter of the triangle is 0.1x - 16 ⇒ C
Step-by-step explanation:
The perimeter of a triangle is the sum of the lengths of its sides
Let us solve the problem
∵ The lengths of the sides of a triangle are:
0.5x + 93x-3.4x - 25∵ The perimeter of the triangle = sum of lengths of its sides
∴ The perimeter = (0.5x + 9) + (3x) + (-3.4x - 25)
→ Add the like terms
∵ The perimeter = (0.5x + 3x - 3.4x) + (9 + -25)
→ Remember (+)(-) = (-)
∴ The perimeter = (3.5x - 3.4x) + (9 - 25)
∴ The perimeter = 0.1x + -16
∴ The perimeter = 0.1x - 16
The expression of the perimeter of the triangle is 0.1x - 16
Answer:
C.
Step-by-step explanation:
0.1x − 16
A bag contains 15 marbles. The probability of randomly selecting a green marble is One-fifth. The probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is 2 over 25 . How many blue marbles are in the bag?
Given:
Total number of marbles = 15
Probability of randomly selecting a green marble = [tex]\dfrac{1}{5}[/tex].
Probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble = [tex]\dfrac{2}{25}[/tex].
To find:
The number of blue marbles.
Solution:
Let the number of blue marbles be x.
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]P(Blue)=\dfrac{x}{15}[/tex]
It is given that,
[tex]P(Green)=\dfrac{1}{5}[/tex]
Probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is [tex]\dfrac{2}{25}[/tex]. So,
[tex]P(Green)\times P(Blue)=\dfrac{2}{25}[/tex]
[tex]\dfrac{1}{5}\times \dfrac{x}{15}=\dfrac{2}{25}[/tex]
[tex]\dfrac{x}{75}=\dfrac{2}{25}[/tex]
Multiply both sides by 75.
[tex]\dfrac{x}{75}\times 75=\dfrac{2}{25}\times 75[/tex]
[tex]x=2\times 3[/tex]
[tex]x=6[/tex]
Therefore, the number of blue marbles in the bag is 6.
Write the following in point-slope form, slope-intercept form, and standard form. (-2,9) m= -1
Answer:
x + y = 6
Step-by-step explanation:
9 = -2(-1) + b
9 = 3 + b
b = 6
y = -1x + 6
x+y =6
In a triangle, the measure of the middle angle
is triple the measure of the smallest angle, and
the measure of the largest angle is 55° greater
than the measure of the smallest angle. Find
the measures of the
angles.
Let the smallest angle in a triangle be = x
Largest angle in a triangle = 55 + x
The middle angle in a triangle = 3x ( triple the measure of the smallest angle )
Their sum = 180° ( according to the angle sum property all the angles of a triangle sum up to 180° )
This can be written as :
= x + 55 + × + 3x = 180
Let us find each angle by solving the equation .
= x + 55 + x + 3x = 180°
= x + x + 3x + 55 = 180°
= 5x + 55 = 180°
= 5x = 180 - 55 ( transposing +55 from LHS to RHS changes +55 to -55 )
= 5x = 125
= x = 125 ÷ 5 (transposing ×5 from LHS to RHS changes ×5 to ÷5 )
= x = 25
Using this let us find the measure of each angle .
Smallest angle = x = 25
Smallest angle = 25°
Middle angle = 3x = 3 × 25 = 75
Middle angle = 75°
The largest angle = x + 55 = 25 + 55 = 80
Largest angle = 80°
Therefore , the measure of the smallest angle = 25° , the measure of the middle angle = 75° and the measure of the largest angle = 80° .
We have that the measures of the angles are as follows
[tex]\theta_1=80 \textdegree[/tex]
[tex]\theta_2=75 \textdegree[/tex]
[tex]\theta_3=25 \textdegree[/tex]
From the question we are told that:
The measure of the middle angle is triple the measure of the smallest angle
The measure of the largest angle is 55° greater than the measure of the smallest angle
Let
[tex]\theta_1=Largest\ angle[/tex]
[tex]\theta_2=Middle\ angle[/tex]
[tex]\theta_3=Smallest\ angle[/tex]
Therefore
[tex]\theta_1=55 \textdegree+\theta_3\\\\\theta_2=3*\theta_3[/tex]
Generally, the equation for the angle of a triangle is mathematically given by
[tex]\theta_1+\theta_2+\theta_3=180[/tex]
Therefore
[tex]55 \textdegree+\theta_3+3*\theta_3+\theta_3=180[/tex]
[tex]\theta_3=25 \textdegree[/tex]
Therefore
Substitute [tex]\theta_3[/tex] into equations of [tex]\theta_1[/tex] and [tex]\theta_2[/tex]
For [tex]\theta_1[/tex]
[tex]\theta_1=55 \textdegree+25 \textdegree\\\\\theta_1=80 \textdegree[/tex]
For [tex]\theta_2[/tex]
[tex]\theta_2=3*\theta_3[/tex]
[tex]\theta_2=3*25 \textdegree[/tex]
[tex]\theta_2=75 \textdegree[/tex]
in conclusion
The measures of the angles are as follows
[tex]\theta_1=80 \textdegree[/tex]
[tex]\theta_2=75 \textdegree[/tex]
[tex]\theta_3=25 \textdegree[/tex]
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1. Which set of numbers includes the square root of 42?
a) irrational number
b) integers
c) rational numbers
d) whole numbers
2. What is the name of this set?
{ … -3, -2, -1, 0, 1, 2 3, …}
a) real numbers
b) integers
c) rational numbers
d) whole numbers
3. Which set does not include negative numbers?
a) real numbers
b) integers
c) rational numbers
d) whole numbers
4. Which of these equals an integer?
a) 12 ¸ 5
b) -12 ¸ 5
c) -15 ¸ 4
d) -15 ¸ 5
5. Which of these is closest to 150?
a) 12.2
b) 12.4
c) 14.2
d) 15
Answer:
C,B,D,A,D
Step-by-step explanation:
The temperatures in my town one week in December were 3°F, 10°F, 5°F, 18°F, 7°F, 3°F, and 3°F. What was the mean temperature that week?
Answer:
It was 3
Step-by-step explanation:
This is because its the one clóset to 0
I hope this help you out
Write an algebraic expression for the area of the conference room
Answer:
I like yo cut gggggggggggg
A car's gas tank, which can hold 14 gallons of gas, contains 4 gallons of gas when the driver stops at a gas station to fill the tank. The gas pump dispenses gas at a rate of 5 gallons per minute. The equation g = 5t + 4 gives the number of gallons of gasoline g in the tank as a function of the pumping time t(in minutes).
Answer:
2minutesStep-by-step explanation:
Since the expression for the amount of gas in the tank is given as
g = 5t + 4
we already know that g=14 which is the capacity of the tank
so let us put g=14 we have
14=5t+4
solving for t, which is the time taken to fill up the tank that already has 4 gal already we have
14=5t+4
14-4=5t
10=5t
t=10/5
t=2min
Therefore the time taken to fill the tank is 2minutes
Question 26 (1 point)
Find the distance between points P(7.1) and Q(5,7) to the nearest tenth.
PQ =
Answer:
The answer is 6.3 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
P(7,,1) and Q(5,7)
We have
[tex] |PQ| = \sqrt{ ({7 - 5})^{2} + ({1 - 7})^{2} } \\ = \sqrt{ {2}^{2} + ({ - 6})^{2} } \\ = \sqrt{4 + 36 } \: \: \: \: \: \: \: \: \: \\ = \sqrt{40} \: \: \\ = 2 \sqrt{10} \\ = 6.32455532...[/tex]
We have the final answer as
6.3 units to the nearest tenthHope this helps you
Answer:
PQ=1.4 I think
Step-by-step explanation:
The parking garage at the airport has 160 empty parking spaces and 240 full parking spaces. What percentage of the spaces in the garage are empty?
Gregory applies honey to one side of his toast. He wants to estimate the likelihood that the toast will land with the honey side facing up when dropped. He drops the toast 40 times and finds that it lands with the honey side facing up 8 times. From this data, it is that the toast will land with the honey side facing down.
Answer:
A) likely
Step-by-step explanation:
It is likely that the toast will land with the honey side facing down. This is because if we find the percentage of chance/probability of the honey side facing down using the data provided it would be the following...
8 / 40 = 0.20 .... times 100 to find percentage value
0.20 * 100 = 20%
We see that there is a 20% that the honey side will land facing down every time that you drop the piece of toast. This means that there is an 80% chance that the honey side will land facing down which is ultimately a high probability and a very likely chance of it happening.
Answer:
It is likely, I got it right on the test.
Step-by-step explanation:
Name that Ange pair!
Drections Given the diagram below, determine whether the angle pairs are corresponding,
alternate interior, alternate exterior, consecutive (same-side) interior, consecutive (same-
side) exterior, or no relationship. Color the boxes using the color codes below.
3.
7
1
5
418
2
6
Corresponding Angles: Pink
Alternate Interior Angles: Light Blue
Alternate Exterior Angles: Yellow
Consecutive Interior Angles: Light Green
Consecutive Exterior Angles: Orange
No Relationship: Uncolored
9/13
10
14
1115
12
16
Answer:
∠6, ∠13, ∠2, ∠9, ∠4, ∠11, ∠8, ∠15 are corresponding angles
∠6, ∠9, ∠2, ∠13, ∠4, ∠15, ∠8, ∠11 are alternate interior angles
∠1, ∠14, ∠5, ∠10, ∠3, ∠16, ∠7, ∠12 are alternate exterior angles
∠6, ∠13, ∠2, ∠9, ∠4, ∠11, ∠8, ∠15 are consecutive interior angles
sry i dont know which are the consecutive exterior angles
but i hope you understood
<2 and <13 are alternate interior angles
Reason: At the opposite sides of the transversal and fall between
<4 and < 11 are co-interior angles
Reason: Same side of the transversal and fall between the two parallel lines
<1 and <16 do not have any direct relationship
<3 and <12 are co-exterior angles
Reason: Same side of the transversal but each of them are outside the parallel lines
<3 and <5 are co-interior angles
Reason: Same side of the transversal and fall between the two parallel lines
<14 and 16 are corresponding angles
Reason: They are at corresponding sides of the parallel lines to the transversal
<1 and <3 are corresponding angles
Reason: They are at corresponding sides of the parallel lines to the transversal
<5 and <10 are alternating exterior angles
Reason: Alternate side of the transversal but each of them are outside the parallel lines
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8 7/90 in decimal form
Answer:
0.07–
Step-by-step explanation:
The answer is above :)
Answer:
to express in decimal form , we have to join convert the mixed fraction into a improper fraction.
8 7/90 = d * w + n
= 90 * 8 + 7
= 720 + 7
= 727 / 90
now you have to make the denominator into a mutiple of 10
= 727 / 90 divided by 9
= 80 / 10
= 0.80
Step-by-step explanation:
hope it helps .
There are 6 boys for every 7 girls on a playground. How many boys and girls could be playing on the playground?
solve for x, 3x + 5 > 88
Answer:
x > 83 / 3
Step-by-step explanation:
Let's solve your inequality step-by-step.
3x+5>88
Step 1: Subtract 5 from both sides.
3x+5−5>88−5
3x>83
Step 2: Divide both sides by 3.
3x/3 > 83/3
x > 83/3
What is the equation of the line that is parallel to the line y = 2x + 6 and goes through point C (8, 1)?
Answer:
y=2x-15
Step-by-step explanation:
In parallel lines the gradient is always the same. then we sub the coordinates in to find c.
so
1=2(8)+c
c equals to -15 t
then
y=2x-15
7y + 2x − 10y + 3x^2 − 10x.
Answer:
67
Step-by-step explanation:
Answer:
3x² - 8x - 3y
if x=21 then y=49. What is the value of x when y=56?
Answer:
24
Step-by-step explanation:
set them up as a fraction.
21/49=x/56
cross multiply: 21*56=49x
1176=49x
divide both sides by 49
x=24
Answer:
28
Step-by-step explanation:
notice that when x=21 thats 3x7=21
then when y=49 thats 7x7
so when y=56 that's 8x7
notice there is a patter of 7 being used? there are probably a lot of other patterns that would also work.. but. if your class is working on multiplying by 7 , then this is probably the right pattern.
from the above pattern, then,
x=4x7 when y=56
x=28
In 2001, Takeru Kobayashi set a world record for the consuming the most hot dogs in 12 minutes. He ate 12 hot dogs in the first three minutes. Approximately, how many hot dogs did he eat during the 12 minute contest?
Answer: 48
Step 1: Find how much 12 is of 48.
12 = 1/4 of 48
Step 2: Multiply 12 by 3 for 3/4.
12 x 3 = 36.
Step 3: Add the numbers.
12 + 36 = 48
Answer = 48
Approximately, 48 hot dogs did he eat during the 12-minute contest.
What is simplification?One strategy to promote uniformity in work efforts, costs, and time is to simplify procedures. It lessens diversity and variation that is damaging, unnecessary, or meaningless. PEMDAS stands for parenthesis, exponents, multiplication, division, addition, and subtraction. Given two or more operations in a single statement, the order of the letters in PEMDAS tells you what to compute first, second, third, and so on, until the computation is complete.
As a result, Takeru Kobayashi broke the record for eating the hottest dogs in a 12-minute period.
Since,
In the first three minutes, he consumed 12 hot dogs.
in three minutes, he ate = 12 hot dogs
in 1 minute, he ate = 12/3
in 1 minute, he ate = 4
So,
in 12 minutes, the total number of hot dogs he ate = 4*12
in 12 minutes, the total number of hot dogs he ate = was 48
therefore, Approximately, 48 hot dogs did he eat during the 12-minute contest.
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Which graph represents the solution set for the compound inequality below?
Answer:
Option 1
Step-by-step explanation:
First inequality:
-x/3>=-3 => x<9
Second inequality:
x>=17
Heeeeeeeeeeeeeeeeeeeelp asap due today at 7
Answer:
1. 3 hours
2. i cant figure this one out
Step-by-step explanation:
Answer:
Haha
Step-by-step explanation:
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wrgwrgweg
ttrtrtttgb
trbtgrbgttr
bheetbg
etbnhtehg
bertertgetfhjgeyfguiwrehodvqeiir
rgeyshudfvr8ov
Solve for x. -2(x+1/3) +9=4
Answer:
X= 13/6
and in decimal form: x=2.16repeated
Question Details
An atom of hydrogen has a mass of about 1.66 x 10^-25
grams. An atom of oxygen has a mass of about 2.656 x
10^-23 grams. How many times the mass of the
hydrogen atom is the mass of the oxygen atom? Give
your answer in scientific notation.
HELP
Answer:
Atomic mass unit-
It is represented by ‘amu’. It is equal to the quantity 1/12th mass of an atom of C-12.
Actual mass of one atom of C-12 = 1.9924 x 10-23 gm. = 1.9924 x 10-26 Kg.
1 amu = 1.9924 x 10 -23/12 = 1.66 x 10 -24 gm. = 1.66 x 10 -27 Kg.
Atomic mass of an element = mass of one atom of the element / 1 amu
Actual mass of an element = atomic mass of an element in amu x 1.66 x 10 -24 gm.
For ex-
Actual mass of hydrogen atom = 1.008 x 1.66 x 10 -24 gm. = 1.6736 x 10-24 gm.
Actual mass of oxygen atom = 16.00 x 1.66 x 10 -24 gm. = 2.656 x 10-23 gm.
Average Atomic weight (Mass)-
“The Average Atomic Masses of many elements are determined by multiplying the atomic mass of each isotope by its fractional abundance and adding these values and then dividing it by 100.”
Ex.- Naturally occurring carbon contains three isotopes – C12 (98.892 % abundance), C13 (1.108 % abundance), C14 (2 x 10-10 % abundance).The relative atomic masses of these isotopes are 12.000, 13.00335 and 14.00317 amu respectively.
Average atomic mass = % of I isotope x its atomic mass + % of II isotope x its atomic mass +% of III isotope x its atomic mass/100
= 12 x 98.892 + 13.00335 x 1.108 + 14.00317 x 2 x10-10 /100
Average atomic mass= 12.011 amu
Molar volume –
Molar volume of a substance is volume occupied by 1 mole of that substance .
Molar volume of solid or liquid = molar mass / density
Molar volume of ideal gas at 00C or 273 K and 1 atmosphere pressure is 22.4 litre.
Gram atomic mass(weight) or gram atom –
“Gram atomic mass(weight) of an element is the mass of Avogadro number ( 6.023 x 1023 ) of atoms of that elements in grams.”
Ex –
mass of 1 atom of oxygen = 16 amu = 16 x 1.66 x 10-24 gm
Mass of 6.023 x 1023 atoms of oxygen= 16 x 6.023 x 1023 x 1.66 x 10-24 = 16 gm.
Hence, Gram atomic weight of oxygen = 16 gm.
No. of gram atoms = mass of element in gm / atomic mass of element in gm.
The vertices of triangle FGH are F(4, 1), G(0, 3), and H(2, -1). After a translation of 6 units left and 2 units down, triangle FGH becomes triangle F'G'H'. After a translation of 1 unit right and 5 units up, triangle F'G'H' becomes triangle F"G"H". What translation would move triangle FGH to triangle F"G"H" directly? a. 6 units left and 2 units down c. 5 units left and 3 units up b. 1 unit left and 5 units up d. 2 units right and 6 units down Please select the best answer from the choices provided A B C D
Answer:
c. 5 units left and 3 units up
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation is translation, rotation, reflection and rotation.
If a point A(x, y) is translated a units right and b units up, the new location is at A'(x+a, y+b), while if a point A(x, y) is translated a units left and b units down, the new location is at A'(x-a, y-b)
The vertices of triangle FGH are F(4, 1), G(0, 3), and H(2, -1). A translation of 6 units left and 2 units down, triangle FGH becomes triangle F'(-2, -1) G'(-6, 1) H'(-4, -3). A translation of 1 unit right and 5 units up, triangle F'G'H' becomes triangle F"(-1, 4) G"(-5, 6) H"(-3, 2)
The translation of FGH to F"G"H" is a translation of (x -5, y + 3), that is 5 units left and 3 units up
5. 27a3+216b3 ???
tomorrow is the submission :(
Answer:
(3a +6b) (9a² - 18ab + 36b²)
Step-by-step explanation:
27 = 3 * 3 * 3 = 3³
216 = 6 * 6 * 6 = 6³
a³ + b³ = (a + b)(a² - ab + b²)
27a³ + 216b³ = (3a)³ + (6b)³
= (3a + 6b)( (3a)² - 3a*6b + (6b)² )
= (3a +6b) (9a² - 18ab + 36b²)
What is the square root of 51.84
A library has an initial late fee of $0.50 cents and charges an additional $0.05 per day. What is the rate of change?
Answer:
$0.05 per day
Step-by-step explanation:
So we know that the initial late fee would be $0.50. For every additional day, the fee increases by $0.05. The rate of change would be the rate at which the cost of the fee changes.
Note, the initial value does not affect the rate of change.
The initial late fee of $0.50 would not affect the rate of change, so we can ignore that piece of information.
Since the fee increases by $0.05 daily, $0.05 per day would be the rate of change.
I hope this helps.
its due in 20 min pls help me
Answer:
should be 1
Step-by-step explanation:
its constant meaning its an exact slope
and it runs through intersections every 1-1
so the answer is 1 because 1 over 1 in a fraction is still 1
the slope is positive because as you move to the right, the graph goes up
the slope is rise/run = 3/3 = 1
the slope of the line is 1
hope this helps!
You have 80 feet of fencing to keep your dogs enclosed.
The length must be twice the width. What should the
width be?(please help due tonight and show work!)
Answer:
Twice something means multiply by 2 , you have 80 feet of fencing all together so half of 80 is 40 . Then take 40 and times it by 2 . which comes out to 80 .
(Just copy and Paste)
Step-by-step explanation:
david and Jack share $120 in the ratio 3:5.how much did david get ?
Answer:
$45
Step-by-step explanation:
ratio is 3:5
David gets 3x, Jack gets 5x
So, 3x+5x=120
8x=120
x=15
David got 3x = 3*15 = $45
Answer:
45$
Step-by-step explanation:
120/8=15
15*3=45
because it is 3:5 ratio