The equation of k is 13/7.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
7k+17=30
Now, solving for k
Subtract both side 17
7k + 17 - 17 = 30 - 17
7k = 13
k= 13/7
Hence, the equation of k is 13/7.
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by how much is (3/4 + 1/12 + 2/3) greater than 1
Hey there!
3/4 + 1/12 + 2/3
= 5/6 + 2/3
= 5/6 + 4/6
= 5 + 4 / 6
= 9 / 6
= 9 ÷ 3 / 6 ÷ 3
= 3/2
≈ 1.5
1.5 - 1 = 0.5
Therefore, your answer is: 0.5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
1+3+5+7+...+25 is subtracted from 2+4+6+8+...+26. The answer is
[tex]S_1 = 2+4+6+8+...+26 \\\\~~~~=2(1+2+3+4+...+13)\\\\~~~~=2 \cdot \dfrac{13(13+1)}2~~~~~~~~;\left[\text{Sum of consecutive positive integers }= \dfrac{n(n+1)}2 \right] \\\\~~~~=13 \cdot 14\\\\~~~~=182\\\\S_2 = 1+3+5+7+...+25\\\\\text{It is an arithmetic series wihere}\\\\\text{First term, a =1, ~Common difference, d = 2,~ number of terms = n} \\\\~~~~\text{Nth term} = a+(n-1)d\\\\\implies 25 = 1+(n-1)2\\\\\implies 2n-2 = 24\\\\\implies 2n = 24+2\\\\\implies 2n= 26\\\\[/tex]
[tex]\implies n = \dfrac{26}2 \\\\\implies n= 13\\\\\text{S} _2= \dfrac{\text{n(First term+ Last term)}}{2}\\\\~~~~~~=\dfrac{13(1+25)}2\\\\~~~~~~=\dfrac{13 \times 26}2\\\\~~~~~~=13 \times 13\\\\~~~~~~=169\\\\\text{Hence,}~~ S_1 - S_2 =182 - 169 =13[/tex]
Answer:
13
Step-by-step explanation:
2 + 4 + 6 + 8 + ...... + 26
n = 13
Sum of first 'n' even numbers = n( n +1)
= 13 * 14
= 182
1 + 3 + 5 + 7 + .....+25
n = 13
Sum of first 'n' odd numbers = n²
= 13 * 13
= 169
2 + 4 + 6 + 8 + ... + 26 - (1 + 3 + 5 + 7 + ......+25) = 182 - 169
= 13
Select all of the inequalities that are true if x = 4. (Select all that apply.) x<2 x<10 x<4 x>4 x>8
Answer:
x<10
Step-by-step explanation:
I think that's the only one
Hope this helps:)....if not then sorry for wasting your time and may God bless you:)
This solid is a hemisphere with a 90° slice removed and a radius of 12
Answer:
Step-by-step explanation:
u don't know this silly question
Ayana's favorite brownie recipe calls for
1
2
of a cup of flour for every
1
3
of a cup of cocoa powder. For a bake sale, she plans to make a larger batch with 1 cup of cocoa powder. How much flour should she use?
Answer: 12-233 24353252345
Step-by-step explanation:
Ayana's favorite brownie recipe calls for
1
2
of a cup of flour for every
1
3
of a cup of cocoa powder. For a bake sale, she plans to make a larger batch with 1 cup of cocoa powder. How much flour should she use?
How many real-number solutions does the equation have?
0=-7x² +6x+3
A: one solution
B: two solutions
C: no solutions
D: infinitely many solutions
Answer: B. two solutions
im guessing
Paul works at at the bucket of Cracker Barrel and makes $8.25 an hour plus tips. Paul averages $110 in tips during an 8 hour shift. Paul typically works 40 hours A week and he works 48 weeks out of the year the other 2 weeks he gets paid vacation time during this time he earns his base hourly rate for 40 hours a week what is his gross annual income?
Answer:
330.00
Step-by-step explanation:
i think thats the answer someone would have to double check but this is what i did the get that
How much overtime pay do you get for working 40 hours if you get the following pay scale:
8.25 for all hours up to 40
110 for all hours in excess of 40
Calculate Total Pay
Total Wages = Regular Rate x 40 Hours + Overtime Rate x (Hours - 40)
Total Wages = 8.25 x 40 Hours + 110 x (40 - 40) Hours
Total Wages = 8.25 x 40 Hours + 110 x (0) Hours
Total Wages = 330 + 0
Total Wages = 330.00
What is the solution of x = 2 startroot x minus 2 endroot? x = 2 x = 3 x = 2 or x = 3 no solution
Radical expression are expressions that contains square root. The value of x from the given radical expression is 3
Radical equations and expressionGiven the equation expressed as:
x = 2 + √x - 2
Subtract 2 from both sides
x - 2 = √x - 2
Square both sides
(x-2)^2 = x - 2
x - 2 = 1
x = 1 + 2
x = 3
Hence the value of x from the given radical expression is 3
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Answer:
B x = 3
Step-by-step explanation:
3x + 14 / 8 = -5
And also need to do the check ♀️
i don’t know the answer and need help
Answer:
add a screen shot
Step-by-step explanation:
A box of clearance clothes at a shop contains 3 red shirts and 12 black shirts. What is the probability that Ned will choose 2 red shirts randomly from the box?
12/35
1/35
2/75
3/70
The probability that Ned will choose 2 red shirts randomly from the box is 1/35.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
The probability of choosing 2 red shirts randomly from the box can be calculated using the formula for probability of independent events:
P(choosing 2 red shirts) = P(choosing 1st red shirt) × P(choosing 2nd red shirt after 1st red shirt has been removed)
The probability of choosing the first red shirt is 3/15 (since there are a total of 15 shirts in the box, of which 3 are red).
After one red shirt is removed, there will be 2 red shirts and 14 shirts remaining in the box.
Therefore, the probability of choosing the second red shirt is 2/14.
P(choosing 2 red shirts) = (3/15) * (2/14) = 1/35
Therefore, the probability that Ned will choose 2 red shirts randomly from the box is 1/35.
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distributive property
Answer:
9 x 6= 9 x ( 3+3 )
= 9 x 3 + 9 x 3
= 27 + 27
= 54
Step-by-step explanation:
Which is the same as dividing a number by 10?
pls help I need it pls
Answer:
Splitting that number into 10 equal wholes.
Step-by-step explanation:
(fractions)
3.5
B
S
A
7
ΔΑΒC ~ ΔQRS
Find the value of t.
Τ
4
C
R
Answer:
x = 0.5
Step-by-step explanation:
3.5/x = 7/4
3.5/x * 1/3.5 = 7/4 * 1/3.5
x = 7/14
x = 1/2
x = 0.5
Please do help me with this math problem.
What is 8 divided by 1/2
Answer:
[tex]8 \div \frac{1}{2} = 8 \times \frac{2}{1} = 8 \times 2 = 16[/tex]
Taffy Twists candy company keeps the same ratio of pieces of strawberry candy to banana candy in their packs. The Mega Pack has 40 strawberry candies and 50 banana candies. The Party Pack has 20 strawberry candies.
How many banana candies are in the Party Pack?
Answer:
25 bananas
Step-by-step explanation:
You halved the strawberry number (from 40 to 20) ....half the banana number = 25
What is the slope of the line shown below?
(-6,3)
(12,6)
A. -1/6
B. -6
C. 6
D. 1/6
Answer:D
Step-by-step explanation:
The slope of a line will be 1/6. Then the correct option is D.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
Slope = (y₂ - y₁) / (x₂ - x₁)
The points are given below.
(-6,3) and (12,6)
(x₁, y₁) = (-6,3)
(x₂, y₂) = (12,6)
Then the slope of a line will be
Slope = (6 – 3) / (12 + 6)
Slope = 3 / 18
Slope = 1/6
Then the correct option is D.
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Stefon is paid $25 to mow a lawn. This amount is $4 less than twice the amount he received when he first began mowing. Use the model to determine x, the amount Stefon received when he first began mowing
Answer:
He used to receive $14.50.
Step-by-step explanation:
Let x = amount he used to receive.
Now he receives 2x - 4.
Now he receives $25.
2x - 4 = 25
2x = 29
x = 14.5
Answer: He used to receive $14.50.
Answer:14.5
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Question is in image below.
Answer:
-9/25, -0.bar 3, √24, 4.92
Answer:
[tex]-\frac{9}{25} < -0.3 < \sqrt{24} < 4.92[/tex]
Step-by-step explanation:
We first have to expand -0.3, -9/25, and sqrt(24). Then we determine which is least and which is greater.
-0.3 = -0.3333...
-9/25 = -0.36
[tex]\sqrt{24}[/tex] ≈ 4.8989799486
4.92
[tex]-\frac{9}{25} < -0.3 < \sqrt{24} < 4.92[/tex]
HELP ME WITH THIS LOL
Find the value of X if a = 25 and b = 11, Round to the nearest tenth.
Answer:
x = 19.9
Step-by-step explanation:
These kinds of problems have a specific formula.
Formula: outside (whole) = outside (whole)
We could substitute our variables into this.
For the first line, our outside segment is b and the whole thing is a + b
For the second line, our outside segment is x, and the whole thing is x.
[tex]b (a+b) = x(x)\\11 (25+11) = x^2\\11 (36) = x^2\\396 = x^2\\\\x=\sqrt{396}[/tex]
The [tex]\sqrt{396}[/tex] = 19.8997487421
Rounding to the nearest tenth, your answer is 19.9
I WILL GIVE BRAINLIEST!!!
Logan calculated the mean absolute deviation of the points he earned throughout the year in four of his classes: geography, math, English, and theater.
geography: MAD of 3.5
math: MAD of 1.36
English: MAD of 1.8
theater: MAD of 3.15
In which class were his scores the closest together?
A. math
B. theater
C. English
D. geography
Answer: the answer is Math and i took the test
What is the equation of a line, in point slope form, that passes through (5, 3)and has a slope of ⅔
Answer:
y - 3 = 2/3(x - 5)
Step-by-step explanation:
Formula:
y - y1 = m(x - x1)
It doesn't apply to this problem but keep in mind that two negatives make a positive so instead of writing, for example, y - (-5), you can just write y +5.
Makes it a lot cleaner and easier to work with.
Hope this helps you :)
If a = 12 feet, b = 6 feet, c = 2 feet, d = 15 feet, and e = 3 feet, what is the area of the object?
Answer:9282
Step-by-step explanation:
If x - 3/x = 7 find i) x² + 9/x²
ii) x + 3/x
iii) x² - 9/x²
[tex]\text{Given that,}\\\\x-\dfrac 3x = 7\\\\\\\textbf{i).}\\\\\\x^2 + \dfrac 9{x^2}\\\\\\=x^2 + \left(\dfrac 3 x \right)^2\\\\\\=\left(x- \dfrac 3x \right)^2 + 2 \cdot x \cdot \dfrac 3x\\\\\\=7^2 +6\\\\\\=55[/tex]
[tex]\textbf{ii)}\\\\~~~~~\left(x+\dfrac 3 x \right)^2 = \left( x - \dfrac 3x \right)^2+4 \cdot x \cdot \dfrac 3x\\\\\\\implies \left(x+\dfrac 3 x \right)^2 = 7^2 +12\\\\\\\implies \left(x+\dfrac 3 x \right)^2 =61\\\\\\\implies x+ \dfrac 3x = \pm\sqrt{61}\\\\\\[/tex]
[tex]\textbf{iii)}\\\\\\x^2 -\dfrac 9{x^2}\\\\\\=x^2 - \left(\dfrac 3{x} \right)^2\\\\\\=\left( x-\dfrac 3x \right)\left( x+\dfrac 3x \right)\\\\\\=7\sqrt{61}~~ \text{or}~~ -7\sqrt{61}[/tex]
Evaluate the lender's good faith estimate. a. the lender made an excellent estimate; it was equal to the actual closing costs. b. the lender made a very good estimate; it was within 0.25% of the actual closing costs. c. the lender made a fairly good estimate; it was between 0.25% and 0.5% of the actual closing costs. d. the lender made a poor estimate; it was higher than 0.5% of the actual closing costs.
The lender's good faith estimate is D. the lender made a poor estimate; it was higher than 0.5% of the actual closing costs.
Who is a lender?It should be noted that a lender simply means an individual or an organization that lends people money.
In this case, the lender's good faith estimate is that the lender made a poor estimate; it was higher than 0.5% of the actual closing costs.
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Answer:
It's
A: The lender made a very good estimate; it was within 0.25% of the actual closing costs.
Step-by-step explanation:
Peter is packing toys into boxes each box holds 30 toys they are 94 toys and 3 boxes how many toys are there left
Answer:
4
Step-by-step explanation: You want to divide 94 by 30 and you 3 with a remainder of 4.
Answer: 4 toys
Step-by-step explanation:
We will multiply 3 by 30 for how many toys he can currently put into boxes.
3 * 30 = 90
Now we will subtract this from the total number of toys for our answer.
94 - 90 = 4
There are 4 toys left.
I really need help understanding when/ what situations to use sine rule and cosine rule with triangles, plssss.
thank you :)))
Answer:
See below :)
Step-by-step explanation:
If you want a missing angle or side in one pair, and you have at least one side and angle pair, use the sine rule.
If you want a remaining side, and you have the other two sides and the angle opposite the unknown side, use the cosine rule.
If you want an angle, and you have all three sides, use the cosine rule rearranged for angles.
I attached a picture to help explain better :)
2.
Find m∠F.
a.30°
b.60°
c.15°
d.10°
Answer:
Step-by-step explanation:
[tex]\sf Sin \ F = \dfrac{Opposite \ of \ angle \ F}{hypotenuse}[/tex]
[tex]= \dfrac{9}{18}\\\\= 0.5[/tex]
[tex]F = Sin^{-1} \ (0.5)\\[/tex]
= 30°
Please read the picture