Solve the following system of equations using substitution.
3x + 2y = 16
3x - 1 = y
Answer:
x=2
y=5
Step-by-step explanation:
Since we have an equation that is set equal to why with x in it, we can multiply it by 2 to get 6x-2=2y.
We can then plug that in for 2 +2y in the equation above, giving us 3x+6x-2=16 or 9x-2=16.
From there we add 2 to both sides and get 9x=18.
Then divide both sides by 9 to get x=2.
Then plug x=2 in for the equation below and get 6-1, or 5.
Giving us our answers, x=2 and y=5
The table shows the atomic radii of four elements.
Element Atomic Radii (m)
Potassium 2.2 × 10-7
Argon 7.1 × 10-8
Boron 8.5 × 10-8
Silver 1.6 × 10-7
Which list shows the atomic radii of the elements ordered from greatest to least?
[tex]\sf Potassium \ : \ 2.2 * 10^{-7}[/tex]
[tex]\sf Argon \ : \ 7.1 * 10^{-8}[/tex]
[tex]\sf Boron \ : \ 8.5 * 10^{-8}[/tex]
[tex]\sf Silver \ : \ 1.6 * 10^{-7}[/tex]
greatest to least :
Potassium < Silver < Boron < ArgonThe order is
Potassium>Silver>Boron>ArgonShortcut trick :-
The nature of atomic radii in. periodic table
Decrease in a period from left to right.Increase in a group from up to downX - y = -2 7x + 2y = -5
Élimination method
Answer:
x = -1, y = 1
Step-by-step explanation:
Multiply the top equation by 2:
[tex]2x - 2y = - 4[/tex]
Leaving the bottom equation unchanged, add the two resulting equations to eliminate y, obtaining:
[tex]9x = - 9[/tex]
Solve this for x, and then substitute this value of x into the bottom equation. Finally, solve for y.
[tex]x = - 1[/tex]
[tex]7( - 1) + 2y = - 5[/tex]
[tex] - 7 + 2y = - 5[/tex]
[tex]2y = 2[/tex]
[tex]y = 1[/tex]
Sam filled 4 large bottles and 6 small bottles with 6.8 litres of orange juice . Each large bottle could hold 0.5 litres more than each small bottle. How much orange juice can a small bottle hold?
Answer:
0.48 litres
Step-by-step explanation:
let the large bottles be x and small bottles be y
4x + 6y = 6.8
x = 0.5 + y
so substituting x in equation 1:
4(0.5 + y) + 6y = 6.8
2 + 4y + 6y = 6.8
10y = 4.8
y = 0.48
Use the greatest common factor of 84 and 48 to write the sum 84+48 as a product. Write a whole number in each black.
Answer: Below
Step-by-step explanation:
Looking at the numbers, they already seem to be multiples of fours. If we try to scale four up, 12 is the next biggest factor.
84 = 12 * 7
48 = 12 * 4
7 + 4 = 13
12 * 13 = 84 * 48
12 * 13 = 132
The center of mass is defined as a point on the straight line between two objects with masses m and m₂ coordinates of the center of mass? m₂ = (X2Y₂) 4 m₁ = (x₁, y₁) OA L₂ center of mass m₂x₁ + m₂x₂ m₂y₁ + m₂Y/₂ 2(m, + m₂) 2(m, + m₂) B. (m₂(x₁ + x₂) M₂ (Y₁+Y/₂) 2(m, + m₂) 2(m, + m₂) OCM₂X₁ + M₁X₂ M₂Y₁ + M₁Y₂ m₂ + m₂ m₂ + m₂ D. m₂x₁ + m₂x₂ m₂v₁ + M₂Y/₂ m₁ + m₂ m₁ + m₂ 4, m₂ = such that 4₂ m₂ What are the
Answer:
D
Step-by-step explanation:
As is often the case with multiple choice questions, a simple check of the reasonableness of the answers will identify the correct one.
Here, the key is that the center of mass will be at the non-zero mass if one of them is zero. Assuming m2 = 0, the center of mass will have coordinates (x1, y1).
Checking the offered expressions when m2=0, we have ...
A. (m1x1/(2m1), m1y1/(2m1)) = (x1/2, y1/2) ≠ (x1, y1)
B. (m1(x1 +x2)/(2m1), 0) = ((x1+x2)/2, 0) ≠ (x1, y1)
C. (m1x2/m1, m1y2/m1) = (x2, y2) ≠ (x1, y1)
D. (m1x1/m1, m1y1/m1) = (x1, y1) . . . . . the answer we're looking for
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
D
Step-by-step explanation:
the answer Is obviously D
Consider the line 3x+8y= 1.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answer:
slope of a line parallel to this line= -3/8
slope of a line perpendicular to this line= 8/3
Step-by-step explanation:
The general equation of a line in terms of a and b is:
y=ax+b where a=slope
in order to get the slope of the line we have to write its equation as the form shown above:
3x+8y=1
8y= -3x+1
y= (-3/8)x+(1/8)
so slope= -3/8
Parallel lines have equal slopes
⇒ slope of parallel line= -3/8
The slope of the line perpendicular to another line is the opposite reciprocal of the original line's slope. This means that we have to exchange the numerater by the denomenator and multiply the obtained number by a negative sign:
⇒ slope of perpendicular line= -(-8/3) = 8/3
This table shows outcomes of a spinner with 3 equal sections colored blue, yellow, and red. Section Outcomes Blue 22 Yellow 32 Red 46 Based on the outcomes, enter the estimated probability of the spinner landing on blue.
Based on the outcomes, the estimated probability of the spinner landing on blue which has equal sections colored blue, yellow, and red is 0.22 or 22%.
What do you mean by probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
This table shows outcomes of a spinner with 3 equal sections colored blue, yellow, and red.
Section Outcomes Blue 22 Yellow 32 Red 46 Total 100The total number of outcome is 100. The total number of favorable outcome to land blue is 22.
Thus, the estimated probability of the spinner landing on blue has to be found out is,
[tex]P=\dfrac{22}{100}\\P=0.22\\P=22\%[/tex]
Hence, based on the outcomes, the estimated probability of the spinner landing on blue which has equal sections colored blue, yellow, and red is 0.22 or 22%.
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At a community fund raiser event, bracelets cost $3 and necklaces cost $6. Complete the patterns in
the first two columns for the cost of 0, 1, 2, 3, and 4 pieces of jewelry. Write the ordered pair for the
corresponding terms in the third column. Then graph the ordered pairs
Answer: Attached photos, and the last question of my explanation.
Step-by-step explanation: If "bracelets cost $3 and necklaces cost $6" that means we will multiply.
1. for Bracelets (1 bracelet = $3)
(0 x 3 = 0) 1. $0
(1 x 3 = 3) 2. $3
(2 x 3= 6) 3. $6
(3 x 3 = 9) 4. $9
(3 x 4 = 12) 5. $12
Explanation: We have to multiply 5 different numbers to fill in the 5 rows of bracelets & necklaces. (0,1,2,3,4 = 5 numbers). For example, if we buy 2 bracelets, 1 bracelet = $3 and 3*2=6 so it would be 6.
2. for Necklaces (1 necklace equals $6)
(0 x 6 = 0) 1. $0
(1 x 6 = 6) 2. $6
(6 x 2 = 12) 3. $12
(6 x 3 = 18) 4. $18
(6 x 4 = 24) 5. $24
3. coordinates
1. (0,0)
2. (3,6)
3. (6,12)
4. (9,18)
5. (12,24)
Putting the coordinate pairs on the graphs: the first number is x and the second is y.
4. I displayed a photo of what the chart, and graph should look like.5. What is the relationship between the corresponding terms in the two sequences: The second sequence is the product of multiplying sequence 1 and sequence 2.
If P={a,b,c} and Q={r}, form the sets PUQ?
PLEASE HELP IF ABLE TO xx
Answer:
y = 120°
Step-by-step explanation:
If AC ≅ AD and BC ≅ BD then the shape of the figure is a kite.
Therefore, ∠D ≅ ∠C
Sum of interior angles in a kite = 360°
⇒ ∠A + ∠B + ∠C + ∠D = 360°
⇒ 120° + ∠B + 100° + 100° = 360°
⇒ ∠B = 40°
Sum of interior angles of a triangle = 180°
⇒ ∠B + ∠BDY + ∠y = 180°
⇒ 40° + 20° + ∠y = 180°
⇒ ∠y = 120°
how many pounds is 480 oz?
please provide what you did to get the answer please :)
Answer:
30 pounds in 480 ounces.
Step-by-step explanation:
16 ounces = 1 pound.
480 ounces divided by 16 = 30 pounds
Answer:
30 pounds. 480 ounces
30 pounds
divide the mass value by 16
Which statement best describes the relationship between the number of chores completed and the number of hours spent on the internet?
A. For every increase of one chore completed, one hour was spent on the internet
B. A total of nine chores were completed
C. For every decrease of one chore completed, one hour was spent on the internet.
D. For every decrease of one chore completed, two hours were spent on the internet
Select the correct answer from each drop-down menu.
Which data set has a greater spread? Why?
Set A: {38, 12, 23, 48, 55, 16, 18}
Set B: {44, 13, 24, 12, 56}
has a greater spread because
.
Reset Next
Answer:
B
Step-by-step explanation:
B because range of set B is more than set A
range B=56-12=44
range A=55-12=43
Aubrey was buying candy for goodie bags for her birthday party. She bought 6 pounds of jellybeans how much did she spend on jellybeans?
Answer:
How much jellybeans cost?????????
Step-by-step explanation:
Answer:
how much do the hello beans cost
what is the equation of the straight line that passes through the point (2,-4) with the slope -2?
Answer:
y = - 2x
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 )
here m = - 2 . then
y = - 2x + c ← is the partial equation
to find c substitute (2, - 4 ) into the partial equation
- 4 = - 4 + c (add 4 to both sides )
0 = c
y = - 2x + 0 , that is
y = - 2x ← equation of line
solve pls brainliest
= 29/6 ×4
=29/3 ×2
=58/3
=19(1/3)
Solve please will mark brainliest
Write the equation of the given line in slope-intercept form:
Answer:
Step-by-step explanation:
so u add it like its a shape and put a x and there :)Jennie was collecting bugs for a school science project. She measured each one in inches and wrote there lengths below. Which list shows the lengths in order least to greatest?
With work please!
Answer: A
Step-by-step explanation:
1/2=.5
1/3=.3 repeated
3/18=0.16 6 repeated
No b,c,
1/2>3/18
so a is correct
PLS HELPPP IT'S ABOUT LOCUS
Answer:
Here,
First Find distance between them by using formula √+x2-x1)2+(y2-y1)2
Then use the equation and then find locus.
Two students each write a function, S(n), that they think can be used to find the number of squares needed to make the nth figure in the pattern shown.
Use the drop-down menus to explain why each function does or does not represent the number of squares needed to make the nth figure in the pattern.
The number of squares needed to make nth figure in the pattern is
S(n) = 2ⁿ.
What is square?A square is "a shape that has four sides of the same length and the four angles of right angles".
According to the question,
S(1)=2; S(2) =4; S(3) = 8: S(4)=16 .........
S(1) = 2; S(2) = 2² = 4; S(3) = 2³ = 8; S(4) = 2⁴ = 16....... S(n) = 2ⁿ
In to find the number of squares needed to make the nth figure in the given pattern is S ( n ) = 2ⁿ.
Hence, the number of squares needed to make nth figure in the pattern is S(n) = 2ⁿ.
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The number of squares needed to make nth figure in the pattern is
S(n) = 2ⁿ.
According to the question,
S(1)=2; S(2) =4; S(3) = 8: S(4)=16 .........
S(1) = 2; S(2) = 2² = 4; S(3) = 2³ = 8; S(4) = 2⁴ = 16....... S(n) = 2ⁿ
In to find the number of squares needed to make the nth figure in the given pattern is S ( n ) = 2ⁿ.
Hence, the number of squares needed to make nth figure in the pattern is S(n) = 2ⁿ.
Bonjour je ne comprend pas cette exercice; si quelqu'un peut m'aider je suis preneuse.
Merci d'avance
Answer:
0,24 m
Step-by-step explanation:
La table est un rectanble donc l'angle en haut à droite est de 90°.
Tu connais donc un angle et le côté opposé à l'angle et tu cherche le côté adjacent.
On sait que tan(â) = [tex]\frac{Cote oppose}{Cote adjacent}[/tex] donc :
tan(40)= [tex]\frac{1,27}{x}[/tex]
[tex]\frac{1,27}{tan(40)} = x[/tex]
donc x ≈ 1,51 m
Le trou du mileu est à [tex]\frac{2,54}{2}[/tex] soit 1,27m du bord.
Donc elle doit taper à 1,51 - 1,27 = 0,24m du trou du milieu.
j'espère avoir été clair.
Next year Phil and Matt may sell the cookies for $50 each. They plan to make the same total number of cookies, but they predict that they will only sell of them given the price increase. Based on their prediction, should Phil and Matt raise the price of the cookies? Justify your answer.
Enter your answer and your justification in the box provided.
Answer:
No, they should not raise the price of the cookies. Because they are going to sell more base on the equation above if they stick with the original price.
Solve for x and round to the nearest tenth for both (please:) )
Answer:
see explanation
Step-by-step explanation:
using the sine ratio in the right triangle.
sin23° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{7}[/tex] ( multiply both sides by 7 )
7 × sin23° = x , then
x ≈ 2.7 ( to the nearest tenth )
----------------------------------------------------
using the tangent ratio in the right triangle
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{27}{17}[/tex] , then
x = [tex]tan^{-1}[/tex] ( [tex]\frac{27}{17}[/tex] ) ≈ 57.8° ( to the nearest tenth )
I only need help on this one Geometry question! Please help! I will give 30 points.
Do not round, enter full answer. No units of measure just the number. A cone shaped funnel has a diameter of 4.8 inches and a height of 4 inches. What is the volume of the funnel? Use 3.14 for pi. Enter your answer as a decimal, in the box.
Which equation does NOT describe a term in the sequence below:
12,6,3,1.5, ...
a. f(1) = 12
b. [tex]f(n)24(1/2)^x[/tex]
c. f(0) = 12
d. f(5)=0.75
Ama bought 12 eggs at $1.10 each. If 3 of the eggs got broken and sold the remaining at $1.45 each, calculate the
i. Total cost price
ii. Total selling price
iii. Profit or loss percent correct to one decimal place.
Answer:
1.1%
Step-by-step explanation:
cost price=1.10×12
=$13.20
selling price=(12-3)×1.45
=9×1.45
=$13.05
loss= cost price-selling price
=13.20-13.05
=0.15
loss percent=0.15/13.20×100
1.13636
1.1%
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On a coordinate plane, line M N goes through points (2, 3) and (negative 3, 2). Point K is at (3, negative 3).
Which point could be on the line that is perpendicular to Line M N and passes through point K?
(0, −12)
(2, 2)
(4, 8)
(5, 13)
Answer:
suitable is (4, 8)
Step-by-step explanation:
slope of MN (y2-y1)/(x2-x1) = (2-3)/(-3-2)= -1/-5 = 1/5
line MN and line K is perpendicular
(1/5)*(m2) = -1
slope of k which is m2 is -5
slope of K (y2-y1)/(x2-x1)= 5
slope of MN (-3-y1)/(3-x1)=5
suitable is (4, 8)
Answer:
2,2 is correct
Step-by-step explanation: