The number of bracelets will be 10 and the number of necklaces will be 4.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
A predetermined quantity of gold was available to a jeweler to create bracelets and necklaces. Each bracelet has 4 grams of gold, and each necklace contains 20 grams of gold. The jeweler used 120 grams of gold to create a total of 14 bracelets and necklaces.
Let x be the number of bracelets and y be the number of necklaces. Then the equation will be
x + y = 14 ...1
4x + 20y = 120 ...2
From equations 1 and 2, then we have
4x + 20(14 - x) = 120
4x - 20x + 280 = 120
16x = 160
x = 10
Then the value of y will be
10 + y = 14
y = 14 - 10
y = 4
Thus, the number of bracelets will be 10 and the number of necklaces will be 4.
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find the value of - |3.4|
Answer:
-3.4
Step-by-step explanation:
"| |" are absolute value which means |-4| is actually 4. However, if there is a negative outside of the lines, than the answer is negative.
7) Krystal wants to make a 54% sugar
solution. She has already poured 2 qt. of a
62% sugar solution into a beaker. How
many qt. of a 38% sugar solution must she
add to this to create the desired mixture?
we know she poured already 2 qts of a 62% sugar solution, hmmm how much will that be in quarts? well, just (62/100) * 2 = 1.24 quarts.
we also know she wants to mixed say "x" quarts of a 38% sugar solution, how many quarts will that be? well, (38/100) * x = 0.38x.
let's make a quick table from that as well as including the desired mixture.
[tex]\begin{array}{lcccl} &\stackrel{solution}{quarts}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{qts of }}{amount}\\ \cline{2-4}&\\ \textit{62\% solution}&2&0.62&1.24\\ \textit{38\% solution}&x&0.38&0.38x\\ \cline{2-4}&\\ desired~mixture&y&0.54&0.54y \end{array}\qquad \begin{cases} ~\hfill 2+x&=y\\\\ 1.24 + 0.38x &= 0.54y \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{substituting on the 2nd equation}}{1.24 + 0.38x ~~ = ~~ 0.54(\underset{y}{2 + x})}\implies 1.24+0.38x=1.08+0.54x \\\\\\ 0.16+0.38x=0.54x\implies 0.16=0.16x\implies \cfrac{0.16}{0.16}=x\implies \stackrel{qts}{1}=x[/tex]
What number equal to 48
Answer:
The factor pairs of the number 48 are: 1 x 48, 2 x 24, 3 x 16, 4 x 12, and 6 x 8. When you multiply each of these factor pairs together, you get 48.
Step-by-step explanation:
1 x 48 = 48
2 x 24 = 48
3 x 16 = 48
4 x 12 = 48
6 x 8 = 48
HOPE IT'S HELP:)
1=t +√2t-3. please show your working
Answer: t=2
Step-by-step explanation:
[tex]1=t+\sqrt{2t} -3\\1-1=t+\sqrt{2t}-3-1\\0= t+\sqrt{2t} -4\\Thus,\\t+\sqrt{2t} -4=0\\Let`s\ \sqrt{t} =x\geq 0\\\Rightarrow\ x^2+\sqrt{2} x-4=0\\x^2-\sqrt{2} x+2\sqrt{2}x-4=0\\ x(x-\sqrt{2})+2\sqrt{2} ( x-\sqrt{2})=0\\ (x-\sqrt{2})(x+2\sqrt{2})=0\\\\x-\sqrt{2} =0\\ x-\sqrt{2}+\sqrt{2}=0+\sqrt{2} \\ x=\sqrt{2}\\ \Rightarrow\ t=(\sqrt{2})^2\\ t=2\\\\x+2\sqrt{2} =0\\x+2\sqrt{2} -2\sqrt{2} =0-2\sqrt{2} \\x=-2\sqrt{2} \notin(x\geq 0)[/tex]
an elevation more than 18000 feet above sea level is considered extremely high altitude. supplementary oxygen is recommended when climbing extremely high altitudes. a mountaineer plane to climb a mountain with an elevation of 6282 meters. is supplementary oxygen recommended for the climb? why?
Based on the elevation that the mountaineer has to climb of 6,282 meters, supplementary oxygen is needed because this distance is above 18,000 feet.
How many feet is the mountaineer climbing?The limit for what is considered extremely high altitude is given in feet so the mountaineer's elevation of 6,282 meters needs to be converted to feet.
1 meter in feet is 3.28084 feet.
6,282 meters in feet is therefore:
= 6,282 x 3.28084
= 20,610.24 feet
This distance is more than the 18,000 feet above sea level which makes it extremely high altitude and so supplementary oxygen is needed.
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12k+15=35+2k (2-step equations)
Hong will rent a car for the weekend. He can choose one of two plans. The first plan has no initial fee but costs $0.90 per mile driven. The second plan has an initial fee of $55 and costs an additional $0.70 per mile driven. How many miles would Hong need to drive for the two plans to cost the same?
Answer:
61 miles
Step-by-step explanation:
0.90 x 61 = 54.9
The graph shows a proportional relationship between the number of workers and weekly cost in dollars for a company. Use the points (6,3600) and (12,7200) to find the weekly cost for the company for each worker. Use pencil and paper. Describe what a unit rate is used for.
Answer: A unit rate is when you need to convert between measurement systems. There is no picture for the points so this is all i can answer.
Step-by-step explanation:
Under her cell phone plan, Jocelyn pays a flat cost of $35 per month and $5 per
gigabyte. She wants to keep her bill under $55 per month. Use the drop-down menu
below to write an inequality representing g, the number of gigabytes she can use
while staying within her budget.
g
Submit Answer
Answer:
< 5 gigabytes
Step-by-step explanation:
Let the number of gigabytes be represented as: g
Under her cell phone plan, Nicole pays a flat cost of $35 per month and $5 per gigabyte. She wants to keep her bill under $60 per month.
Under $60 = less than (<) $60
Hence, our inequality equation is given as:
$35 + $5 × g < 60
35 + 5g < 60
Collect like terms
5g < 60 - 35
5g < 25
g < 25/5
g < 5 gigabytes
Therefore, the number of gigabytes she can use while staying within her budget less than 5 gigabytes
Record: 2/7 Score: 2 Penalty: None
Nakaylah Lindsay
The Midpoint Formula
Sep 11, 7:10:42 PM
Find the midpoint of the segment with the following endpoints.
Answer:
(2, 2) and (10,8)
Submit Answer
Answer: the midpoint of the segment is (6,5)
Step-by-step explanation:
(2,2) (10,8)
[tex]\displaystyle\\ A_x=\frac{2+10}{2} \\\\A_x=\frac{12}{2} \\\\A_x=6[/tex]
[tex]\displaystyle\\A_y}=\frac{2+8}{2}\\ \\A_y=\frac{10}{2} \\\\A_y=5\\[/tex]
Thus, A(6,5)
Solve each equation. Check your solutions. x /2 = x + 1/4
⊂ Hey, ausemkattom2559 ⊃
Answer:
x = 1
Step-by-step explanation:
Given:Solve each equation.
Check your solutions.
x /2 = x + 1/4
Solving:
From the given: [tex]\frac{x}{2}=\frac{x+1}{4}[/tex]
Applying fraction cross multiply: [tex]\mathrm{if\;\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c}[/tex]
[tex]x\cdot \:4=2\left(x+1\right)[/tex]
Distribute:
[tex]x\cdot \:4=2x+2[/tex]
Subtract 2x from both sides:
[tex]x\cdot \:4-2x=2x+2-2x[/tex]
[tex]2x=2[/tex]
Divide both sides by 2:
[tex]\frac{2x}{2}=\frac{2}{2}[/tex]
x = 1
As a result, x = 1
Check Answer:
We can substitute to check our solution:
1/2 = 1 + 1/4
1/2 = 1/2
Hence, x = 1
xcookiex12
9/12/2022
What is the least common denominator for the rational expressions 1 / x² -5 x-6} and 1/x²-12 x+36 ? Show your work.
The least common denominator for the rational expressions 1/x²-5x-6 and 1/x²-12 x+36 is (x-6)(x+1)(x-6).
In the given question
[tex]=\frac{1}{x^{2} -5x-6} , \frac{1}{x^{2} -12x+36}[/tex] ...(i)
First we will factor each denominator
So,
x²-5x-6
On splitting the factors of the above expression , we get
(x+1)(x-6) ....(ii)
x²-12x+36
On splitting the factors of the above expression , we get
(x-6)(x-6) ...(iii)
Substituting the value of (ii) and (iii) in (i) ,we get ;
[tex]=\frac{1}{(x+1)(x-6)} , \frac{1}{(x-6)(x-6)}[/tex]
As the LCM of denominator is the Least common denominator , we have
LCM of (x+1)(x-6) and (x-6)(x-6)
LCM=(x-6)(x+1)(x-6)
Hence the LCD is (x-6)(x+1)(x-6).
Therefore , the least common denominator for the rational expressions 1/x²-5x-6 and 1/x²-12 x+36 is (x-6)(x+1)(x-6).
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answer this by substitution
Answer: X=3, Y=6 z=-1
Step-by-step explanation:
Write and solve an inequality for m
Answer choices:
m + 6 > 8; m > 2
m + 6 < 8; m < 14
m + 6 > 8; m > 14
m + 6 < 8; m < 2
Based on the information, it should be noted that the inequality to solve for m will be D. m + 6 < 8; m < 2.
How to illustrate the information?It should be noted that in Mathematics, an inequality is used to show the expressions that are hot the same or equal.
Based on the information given about the triangle, it should be noted that the hypothenuse which is given as 8 is the longest side of the triangle.
Therefore, the inequality to solve for m will be:
m + 6 < 8.
Collect like term
m < 8 - 6
m < 2
Therefore, based on the information, it should be noted that the inequality to solve for m will be m + 6 < 8; m < 2.
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A cylindrical container if radius 4 cm and height 15 cm is half filled with water. Find the volume of water in the container
Answer:
= 0.377 liters
= 377 mililiters
Step-by-step explanation:
Volume of a regular cylindrical container = л r ² h
л = 3.1416 (aprox,)
r = radius
h = height = 15cm (half filled) = 15/2 = 7.5cm
then:
Volume = 3.1416 * (4cm)² * 7.5cm
volume = 3.1416 * 16cm² * 7.5cm
volume = 377 cm³ (aproximadly)
1 cm³ = 0.001 liters
377 cm³ = 0.001*377 = 0.377 liters = 377 mililiters
The sum of two consecutive integers is - 207. Find the two integers.
===========================================
Work Shown:
x = first integer
x+1 = second integer right after x
The two consecutive integers add to -207
(first) + (second) = -207
(x)+(x+1) = -207
2x+1 = -207
2x = -207-1
2x = -208
x = -208/2
x = -104 is the first integer
x+1 = -104+1 = -103 is the second integer
Check:
-104 + (-103) = -207
The answers are confirmed.
There are 8 roses and 6 daisies in a vase What is the ratio of all flowers in the vase to roses
Answer:
14 to 8
Step-by-step explanation:
8 roses+6 daisies=14 is all the flowers in the vase
Help me please, thank you very much
Answer:710.4
Step-by-step explanation:
Consider the sequence:
5,4,3,2, . . .
The 7th term of the above sequence is
______.
The explicit rule for the nth term of the sequence is
______.
PLS HELP!
Answer:
7th term = (-1)
rule for the nth term = an = a+(n-1)d
Step-by-step explanation:
a = 5, d = a2-a1 = 4-5 = -1, n = 7
an = a+(n-1)d
a7 = 5+(7-1)(-1)
a7 = 5-6
a7 = (-1)
Laveen is baking several loaves of bread to sell. She used 6 cups of water and 18 cups of whole wheat flour. How much water was used per cup of flour?
Answer: 3
Step-by-step explanation:
What are the solutions of the rational equation?
a. x-1 / x+2 = x² + 2 x-3/x+2
The solutions of the rational equation x-1 / x+2 = x² + 2 x-3/x+2 are x = -2 and x = 1
In this question,
We have been given a rational equation.
x-1 / x+2 = x² + 2 x-3/x+2
We need to find the solution of given rational equation.
Here, the denominator is same on the both sides.
x-1 / x+2 = x² + 2 x-3/x+2
⇒ x - 1 = x² + 2 x-3
⇒ x² + 2x - 3 - x + 1 = 0
⇒ x² + x -2 = 0
We solve above quadratic equation.
⇒ x² + 2x - x - 2 = 0
⇒ x(x + 2) - (x + 2) = 0
⇒ (x + 2)(x - 1) = 0
⇒ x + 2 = 0 or x - 1 = 0
⇒ x = -2 or x = 1
Therefore, the solutions of the rational equation x-1 / x+2 = x² + 2 x-3/x+2 are x = -2 and x = 1
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Help me someoneeeeeeeeeeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
In triangle PQR , the measure of angle Q is three times the measure of angle . The measure of angle R is 20⁰ more than the measure of angleP . Find the measure of each angle.
a. What are the unknowns in this problem?
A triangle is a shape whose all three angles have a sum of 180 degrees. So from the above definition we know that:
P + Q + R = 180
Q=3P
T=P + 20
Therefore:
P + 3P + P + 20 = 180
5P + 20 = 180
5P = 160
P = 32
Q = 3(32) = 96
R = 32 + 20 = 52
To Additional Control P + Q + R = 32 + 96 + 52 = 180 °Degree
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Find the slope of the line through each pair of points. (0,-1/2) and (7/5, 10)
The slope of the line with points (0,-1/2) and (7/5, 10) is 7.5
What is a slope of line?A line's steepness and direction are determined by the slope of the line. Without actually using a compass, determining a line's slope in a coordinate plane allows one to anticipate whether a line is parallel, perpendicular, or not.
The change in a line's y coordinate relative to its change in x coordinate is referred to as the line's slope. Δy is the net change in the y coordinate, while Δx is the net change in the x coordinate.
Therefore,
m = y₂-y₁/x₂-x₁ (where m denotes the slope) can be used to express how the y coordinate changes in relation to the x coordinate.
Be aware that tan ∅ = y/x
We also refer to this tan as the line's slope
We know that slope, slope = m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
For the pairs of points (0,-1/2) and (7/5, 10)
⇒ m = [tex]\frac{10 - (-1/2)}{(7/5) - 0}[/tex]
⇒ m = [tex]\frac{21/2}{(7/5) }[/tex]
⇒ m = 15/2
⇒ m = 7.5
Hence, the slope of the line with points (0,-1/2) and (7/5, 10) is 7.5
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Simplify each sum or difference. State any restrictions on the variables.
5x/x² - x-6 + 4/x² + 4x + 4
The simplification of the given each sum or difference of the expression [tex]\frac{5x}{x^{2} -x-6} + \frac{4}{x^{2} +4x+4}[/tex] is equal to [tex]\frac{5x^{2} +14x-12}{(x-3)(x+2)^{2}}[/tex] , restriction on the variables is given by x ≠ 3 , x≠ -2.
As given in the question,
Given expression : [tex]\frac{5x}{x^{2} -x-6} + \frac{4}{x^{2} +4x+4}[/tex]
Simplify the given expression by taking least common multiple,
[tex]\frac{5x}{x^{2} -x-6} + \frac{4}{x^{2} +4x+4}\\\\\\= \frac{5x}{x^{2} -3x+2x-6} + \frac{4}{(x+2)^{2}} \\\\\\= \frac{5x(x+2)+4(x-3)}{(x-3)(x+2)^{2}}\\ \\=\frac{5x^{2} + 14x-12}{(x-3))x+2)^{2}}[/tex]
Restriction on the variables is given by x ≠ 3 , x≠ -2.
Therefore, simplification of the given each sum or difference of the expression [tex]\frac{5x}{x^{2} -x-6} + \frac{4}{x^{2} +4x+4}[/tex] is equal to [tex]\frac{5x^{2} +14x-12}{(x-3)(x+2)^{2}}[/tex] , restriction on the variables is given by x ≠ 3 , x≠ -2.
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Find the number of possible outcomes for following situation.
Three number cubes are rolled simultaneously.
Experiment: Rolling three dice simultaneously
No of possible outcomes: 6*6*6 = 216
The Sample space is shown below:
(1,1,1) (1,1,2) (1,1,3) (1,1,4) (1,1,5) (1,1,6)
(1,2,1) (1,2,2) (1,2,3) (1,2,4) (1,2,5) (1,2,6)
(1,3,1) (1,3,2) (1,3,3) (1,3,4) (1,3,5) (1,3,6)
(1,4,1) (1,4,2) (1,4,3) (1,4,4) (1,4,5) (1,4,6)
(1,5,1) (1,5,2) (1,5,3) (1,5,4) (1,5,5) (1,5,6)
(1,6,1) (1,6,2) (1,6,3) (1,6,4) (1,6,5) (1,6,6)
(2,1,1) (2,1,2) (2,1,3) (2,1,4) (2,1,5) (2,1,6)
(2,2,1) (2,2,2) (2,2,3) (2,2,4) (2,2,5) (2,2,6)
(2,3,1) (2,3,2) (2,3,3) (2,3,4) (2,3,5) (2,3,6)
(2,4,1) (2,4,2) (2,4,3) (2,4,4) (2,4,5) (2,4,6)
(2,5,1) (2,5,2) (2,5,3) (2,5,4) (2,5,5) (2,5,6)
(2,6,1) (2,6,2) (2,6,3) (2,6,4) (2,6,5) (2,6,6)
(3,1,1) (3,1,2) (3,1,3) (3,1,4) (3,1,5) (3,1,6)
(3,2,1) (3,2,2) (3,2,3) (3,2,4) (3,2,5) (3,2,6)
(3,3,1) (3,3,2) (3,3,3) (3,3,4) (3,3,5) (3,3,6)
(3,4,1) (3,4,2) (3,4,3) (3,4,4) (3,4,5) (3,4,6)
(3,5,1) (3,5,2) (3,5,3) (3,5,4) (3,5,5) (3,5,6)
(3,6,1) (3,6,2) (3,6,3) (3,6,4) (3,6,5) (3,6,6)
(4,1,1) (4,1,2) (4,1,3) (4,1,4) (4,1,5) (4,1,6)
(4,2,1) (4,2,2) (4,2,3) (4,2,4) (4,2,5) (4,2,6)
(4,3,1) (4,3,2) (4,3,3) (4,3,4) (4,3,5) (4,3,6)
(4,4,1) (4,4,2) (4,4,3) (4,4,4) (4,4,5) (4,4,6)
(4,5,1) (4,5,2) (4,5,3) (4,5,4) (4,5,5) (4,5,6)
(4,6,1) (4,6,2) (4,6,3) (4,6,4) (4,6,5) (4,6,6)
(5,1,1) (5,1,2) (5,1,3) (5,1,4) (5,1,5) (5,1,6)
(5,2,1) (5,2,2) (5,2,3) (5,2,4) (5,2,5) (5,2,6)
(5,3,1) (5,3,2) (5,3,3) (5,3,4) (5,3,5) (5,3,6)
(5,4,1) (5,4,2) (5,4,3) (5,4,4) (5,4,5) (5,4,6)
(5,5,1) (5,5,2) (5,5,3) (5,5,4) (5,5,5) (5,5,6)
(5,6,1) (5,6,2) (5,6,3) (5,6,4) (5,6,5) (5,6,6)
(6,1,1) (6,1,2) (6,1,3) (6,1,4) (6,1,5) (6,1,6)
(6,2,1) (6,2,2) (6,2,3) (6,2,4) (6,2,5) (6,2,6)
(6,3,1) (6,3,2) (6,3,3) (6,3,4) (6,3,5) (6,3,6)
(6,4,1) (6,4,2) (6,4,3) (6,4,4) (6,4,5) (6,4,6)
(6,5,1) (6,5,2) (6,5,3) (6,5,4) (6,5,5) (6,5,6)
(6,6,1) (6,6,2) (6,6,3) (6,6,4) (6,6,5) (6,6,6)
Favorable outcome (three similar numbers, i.e. getting an identical number in all the three dice) : 6
Probability = No of favorable outcomes/Total no of outcomes = 6/216 = 0.0278
a babysitter earns $8 an hour
Answer:
8xh h=hours
Step-by-step explanation:
8 times how ever much hour than that's all if there's tips well just add it to your answer
points!!!!!!!!!!!!!!!!
Answer:
5 points
Step-by-step explanation:
because yes
Please help asap will give brainliest. Find X and bac
By using the fact that the two angles whose measures are expressed in terms of x are vertical angles, we will see that x = 8.
Then using that we will see that the measure of angle BAC is 63 degrees.
How to find the value of x?On the given diagram, we can see that the two angles whose measures are expressed in terms of x are vertical angles, thus, these two angles have the same measure, then we can write a linear equation that helps us to find the value of x, which is:
(2x + 3) = (4x - 5)
Solving the linear equation for x we get:
2x + 3 = 4x - 5
3 + 5 = 4x - 2x
8 = 2x
8/2 = x = 4
So we can see that the value of x is 4.
Now we want to find the measure of angle BAC.
We can see that the measure of angle BAC plus the measure of the angle to its right will be a right angle, then we can write:
m∠BAC + (4x - 5)° = 90°
Replacing the value of x we get:
m∠BAC + (4*8 - 5)° = 90°
m∠BAC + 27° = 90°
m∠BAC = 90° - 27° = 63°
We conclude that the measure of angle BAC is 63 degrees.
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What is the solution to the given system of equations?
7a-12b = 10
-2a-4b = 12
pls help me i don’t understand
Answer:
a=−2 and b=−2
Step-by-step explanation:
Let's solve your system by substitution.
7a−12b=10;−2a−4b=12
Step: Solve7a−12b=10for a:
7a−12b=10
7a−12b+12b=10+12b(Add 12b to both sides)
7a=12b+10
7a/7=12b+10/7
(Divide both sides by 7)
[tex] \sf \: a = \frac{12}{7} b + \frac{10}{7} [/tex]
Step: Substitute: 12/7b+10/7 for a in−2a−4b=12:
−2a−4b=12
−2(12/7b+10/7)−4b=12
−52/7b + −20/7=12(Simplify both sides of the equation)
−52/7b+−20/7+20/7=12+20/7
(Add 20/7 to both sides)
−52/7b=104/7
[tex] \sf \: \frac{ \frac{ - 52}{7}b }{ \frac{ - 52}{7} } = \frac{ \frac{104}{7} }{ \frac{ - 52}{7} } [/tex]
(Divide both sides by (-52)/7)
b=−2
Step: Substitute −2 for b in a =12/7b+10/7:
a=/12/7b+10/7
a=12/7(−2)+10/7
a=−2(Simplify both sides of the equation)
