Answer:
30 Chairs
Step-by-step explanation:
I will solve this problem using algebra and try to explain in detail.
We can form two equations with the information given to us.
Firstly, 5 times a length of chairs (I will call this unknown length of chairs x), plus 5 left over chairs, equals the total number of chairs (I will call the total number of chairs y).
5x + 5 = y
Secondly, 3 times a length of chairs (I will call this unknown length of chairs x), plus 15 left over chairs, equals the total number of chairs (I will call the total number of chairs y).
3x + 15 = y
Since both equations are equal to y, they are equal to each other
5x + 5 = 3x + 15
Take 5 away from both sides of the equals, and take away 3x from both sides of the equals
5x - 3x = 15 - 5
2x = 10
Divide both sides by 2
x = 5 chairs
Put this back into either the first equation or the second to solve for y
3 (5) + 15 = y
15 + 15 = y
y = 30 chairs
If j= 14, find the value of 1/2j.
Answer:7
Step-by-step explanation:
1/2 of j is the same as j ÷ 2
14 ÷ 2 = 7
Which congruent angles can prove that
lines Land M are parallel?
A. 2 and 7
B. 5 and 8
C. 4 and 6
Answer:
C 4 and 6
Step-by-step explanation:
Because 4 and 6 are coointerior
Ted has 18 feet of lumber. How many 2 1/2 foot shelves can he make? Explain your answer.
Answer:
The answer is 7.2, and if you round it, it would be 7.
Solve for the indicated variable. Include all of your work in your answer. Submit your solution.
Answer:
[tex]h = \frac{2a}{a + b} [/tex]
Write an equation in Point-Slope form for a line that passes through the points (-10,8) & (-20,-12)
surprise i need help again
the first one is the answer using the first ordered pair. the second is the answer using the second ordered pair.
A line that includes the points (-5, 7) and (g, -6) has a slope of -1. What is the value of g?
Answer:
g = 8
Step-by-step explanation:
slope formula: (y2-y1)/(x2-x1)
-1 = (-6 -7) / (g +5)
-1= -13/x + 5
-1(x+5)= -13
-x - 5 = -13
-x = -8
x = 8
What is the x-intercept of the line 2x -3y = -6?
Answer:
The x-int is 3/2y - 3 (x=3/2y-3)
Step-by-step explanation:
2x-3y=-6
2x=3y-6
x=3/2y-3
6 Ella is a salesperson for a cosmetics company. She is paid $500 per week and a commission of 3% on sales in excess of $800.
What does Ella earn in a week in which she makes sales of $600?
The total amount that Ella earned in a week in which she made sales of $600 is; $500
How to solve Algebra Word problems?The parameters given about Ella who is a salesperson are;
Amount paid per week = $500
Commission on sales exceeding $800 = 3%
Total sales for the week = $600
From the parameters above, we see that she didn't make sales exceeding the commission limit of $800 and as such she didn't earn any extra commission.
Therefore her weekly pay was still $500
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Calvin kicked a soccer ball laying on the ground. It was in the air for 5 seconds before it hit the ground. While the soccer ball was in the air it reached a height of approximately 25 feet. Assuming that the soccer ball’s height (in feet) is a function of time (in seconds), what are the domain and range in the context of this problem?
Refer to the attachment
Consider the following data set:
2 , − 3 , − 3 , 1 , 8 , 12 , 14 , 2
Find the lower quartile.
Answer:
-3, -3, 1, 2, | 2, 8, 12, 14
Lower quartile is negative 1
Because the middle number is the median because there is an odd set of numbers.
To find the quartile you have to arrange the numbers from lowest to highest.
When you find middle number you have to find the half of the lower half of the middle, which you will solve the lower quartile. Since there are even numbers you add the two middle numbers and divide it by 2. And you'll get the answer hope that helped
Write each equation in slope intercept form. underline the slope and circle the y intercept in each equation 5x + 3y = 30
Answer:
y=-5/3x+10
Step-by-step explanation:
slope is -5/3 and the y int. is 10. Hope this helps!
Please help! If you do so you will get 50 points and brainiest!
Answer:
1
Step-by-step explanation:
If y varies directly with X,
Y
and y= 4.5 when x= 2.5,
what is y when x= 12?
Y
Answer:
y=1.8x
Step-by-step explanation:
For the function k(x)=-1/16x-8 what is the inverse function of k^-1(x)?
Answer:
k^-1(x) = -1/128+16x
Domain = ]-infinity,-8[ U ]-8,infinity[
Range = ]-infinity,0[ U ]0,infinity[
Step-by-step explanation:
k(x) = -1/16x = -8
y = -1/16x = -8
x = -1/16y = -8
y = -1/128+16x
k^-1(x) = -1/128+16x
Answer:
D
Step-by-step explanation:
e2021 on god
There are 26 red cards and 26 black cards in a standard deck of playing cards, for a total of 52 cards. There are 4 kings to a deck, two of which are red kings and two of which are black kings. A card will be randomly selected from a standard deck of playing cards. Let A represent selecting a king and let B represent selecting a red card. Calculate the following probabilities:
P (A) =
P (A ׀ B) =
Based on these probabilities, are A and B independent events? Explain your reasoning.
David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is 15:1. He currently has 40 grams of the spice blend, and he can go buy more if necessary. He wants to make 10 servings, where each serving has 75 grams of rice. Overall, David spends 4.50 dollars on rice.
What is the price of rice per gram?
Answer:
The price of rice per gram is 0.006$
Step-by-step explanation:
I. David wants to make 10 servings,
each require 75 g of rice and 5 spice. When ratio is 15:1
If rice : spice = 75 : x
15x = 75
x = 5
=> 5 * 15 : 1 * 5
= 75 : 5
So rice : spice is 75 : 5
II. When 1 serving require 75 : 5
So 10 servings is 10 * 75 : 5 * 10
= 750 : 50
So he must has 750 grams rice and 50 grams spice.
III. He must buy spice and rice which..
a) He has 40 grams spice, he'll buy for 10 grams spice.
b) He has no rice, he'll buy for 750 grams rice.
But the question only ask for price of rice which he spend 4.5$
= [tex]\frac{4.5}{750}[/tex]
= 0.006$
In 1 gram of rice he spend 0.006$
If 750 grams of rice, he'll spend 750 * 0.006$ = 4.5$ => true
That makes 0.006$ is the right answer.
Hope that help :)
Dividing fractions word problems 1 1 A 16-kilometer stretch of road needs repairs. Workers can repair 2- kilometer of road per week. 4 How many weeks will it take to repair this stretch of road? Weeks Stuck? Reviews related articles/videos or use a hint.
Answer:
8 weeks
Step-by-step explanation:
16km is the total, 2km is what is completed in a single (1) week.
so our equation is 16÷2
Week 1: 2km
Week 2: 4km
Week 3: 6km
Week 4: 8km
Week 5: 10km
Week 6: 12km
Week 7: 14km
Week 8: 16km (final)
Please someone help me with this im giving brainliest!!
Answer:
A) Second step
would be the answer
Will give brainiest to correct answer
Answer:
8 x 4 = 5 fours + 3 fours
= 20 + 12
= 32
Hope This Helps! •v•
Find the equation (in terms of x) of the line through the points (-2,4) and (2,0)
y =
Answer:
y = - x + 2
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 )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 4 ) and (x₂, y₂ ) = (2, 0 )
m = [tex]\frac{0-4}{2-(-2)}[/tex] = [tex]\frac{-4}{2+2}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1 , then
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 0 )
0 = - 2 + c ⇒ c = 0 + 2 = 2
y = - x + 2 ← equation of line
Damon skateboards from his house to school 4 miles away. It takes him 20 minutes to get to school.
How many minutes will it take Damon to skateboard to his friend Stefan's house, which is 2 1/2 miles from school, if he travels at the same rate that he did from his house to school.
Answer:
about 12 1/2 minutes
each mile he went to school took him 5 minutes and if his friend's house is 2 1/2 miles away then 2.5x5= 12.5
======================================================
Work Shown:
20 min = 20/60 = 1/3 of an hour
distance = rate*time
d = r*t
4 mi = (x mph)*(1/3 hr)
4 = x*(1/3)
4*3 = x
x = 12 mph
Damon's speed is 12 mph
--------------
Now calculate the time it takes go travel to his friends house.
d = r*t
2.5 = 12*t
t = (2.5)/12
t = 25/120
t = (5*5)/(5*24)
t = 5/24
He takes 5/24 of an hour to go from school to Stefan's house.
Multiply by 60 to convert to minutes
(5/24)*60 = 12.5 minutes
Write the prime factorization of 128. Use exponents when appropriate and order the factors from least to greatest
128 = 2^7
There are just seven 2's being multiplied to get to 128,
We know that the factors of 128 are : 1, 2, 4, 8, 16, 32, 64, and 128 itself.
But we need a prime factorization, and so [tex]2^{7}[/tex] is the prime factorization of that number
What is the measure of ∠ABC?
Answer:
not sure
Step-by-step explanation:
I'm not sure how to do this guys I am very sorry for the inconvenience
Step-by-step explanation:
brother or sister whoever you are, please try to post the full question.
A carton measures 200 cm by 100 cm by 100 cm.
The carton is to be completely filled with boxes.
Each box measures 50 cm by 20 cm by 20 cm.
Work out the number of boxes which can completely fill the carton.
Answer:
the answer is below
Step-by-step explanation:
multiply like this
L×b×hthere were 8 gallons of juice for the third grade picnic.How many gallons of juice were there for each of the third grade classes???? please help with my hw!!!
Simplify these epressions.
g(x)=(x-2)^2 + 1
Explain the transformation
Answer: The graph of g(x) will be shifted 2 units left and 1 unit down compared to the parabola, f(x).
Step-by-step explanation:
-1.5x – 2x - 12(x + 10)
Answer:
-15.5x-120
Step-by-step explanation:
-1.5x-2x-12(x+10)=-1.5x-2x-12x-120
=-15.5x-120
Answer:
-3.5x - 12(x + 10)
-3.5x - 12x - 120
-15.5x - 120
Step-by-step explanation:
brainliest plz
Cross products: what’s the value of the cross product?
Can someone please tell me the answer to this
Answer:
x equals to 5
jist cross multiply
Find all possible values of P in x^2-10x+P=(x-A)(x-B) if P, A and B are all whole numbers
The value of P in the expression [tex]x^2-10x+P=(x-A)(x-B)[/tex] is 25
Given the expression [tex]x^2-10x+P=(x-A)(x-B)[/tex]
To get the value of P, we will use the completing the square method;
Add the square of the half of the coefficient of x
The coefficient of x is -10Half of the coefficient of x is -10/2 = 5Square of half of the coefficient of x = 5^2 = 25Hence the complete quadratic expression will be [tex]x^2-10x + 25[/tex]
Hence the value of P in the expression [tex]x^2-10x+P=(x-A)(x-B)[/tex] is 25
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