Let's assume –
Number of two-seat tables be "x"[tex]\qquad[/tex] According to the question :-
[tex]\qquad \pmb{\sf\longrightarrow 4 \times (28−x)+2 \times x=90}[/tex]
[tex]\qquad \pmb{\sf\longrightarrow 112−4x+2x=90}[/tex]
[tex]\qquad \pmb{\sf\longrightarrow 112−2x=90}[/tex]
[tex]\qquad \pmb{\sf\longrightarrow −2x=90−112}[/tex]
[tex]\qquad \pmb{\sf\longrightarrow −2x=−22}[/tex]
[tex]\qquad \pmb{\sf\longrightarrow 2 x=22}[/tex]
[tex]\qquad \pmb{\sf\longrightarrow x= \cancel{\dfrac{22}{2}}}[/tex]
[tex]\qquad \longrightarrow {\pink{\underline{\underline{\pmb{\sf{ x= 11}}}}}}[/tex]
Therefore –
Number of two-seat tables are 11.▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Answer: 11
Step-by-step explanation:
This is a problem of solving word problems using systems of equations.
Let's denote 2-seat tables by x and 4-seat tables by y. Therefore, their sum will be the total number of tables, which is 28. So, x + y = 28.
Now, let's concentrate on the number of customers. It says that 'when all tables are full, there will be 90 customers in the restaurant'. Therefore if we seat 2 people on each 2-seat table(x), their total number will be 2x and if we seat 4 people on each 4-seat number(y), their total number will be 4y. Hence, 2x + 3y = 90.
Now, we have a system with two equations:
[tex]\left \{ {{x + y = 28} \atop {2x + 4y = 90}} \right.[/tex]
Multiply the first line by -4.
[tex]\left \{ {{-4x -4y = -112} \atop {2x + 4y = 90}} \right.[/tex]
Now, by adding up these two equations, we get the following:
-2x = -22
x = 11
This means that the restaurant has 11 two-seat tables.
There are 32 students in 6A class and 36 students in 6B class. If Mr. Deveney wants to have the same amount of children in each group, what would be the largest group size that would work for both classes?
A) 32
B) 68
C) 2
D) 4
Answer:
D) 4
Step-by-step explanation:
32 can be split into
8 groups of 4
36 can be split into
9 groups of 4
Students can ride in a van how many vans are needed for 29 students
Answer:
29
Step-by-step explanation:
Students can ride in a van
vans are needed for 29 students = 29
What is the equation for the line that is perpendicular to y= 3/7x + 1, through (-9,19)
Step-by-step explanation:
I hope this helps you!!!
What is the value of 3ab+5b-6 when a=1 and b = 3
please help me? im not understanding this question at all.
Answer:
well it looks like as each week is going by the puppy is gaining less weight cause at first 5 is added and then 4 so maybe the next week 3 is added
Answer:
Yes, the relationship is proportional.
Step-by-step explanation:
So if you don't understand what proportional means, it means corresponding, the same, equal.
So when you look at a graph like this then ask yourself this, "is x a multiple of y?"
For example: Is 2 a multiple of 4? Yes! It is! That makes it proportional.
Is 3 a multiple of 9? Yes it is! 3, 6, 9.
Is 4 a multiple of 12? It is 4, 8, 12
5
What scale factor would increase the
size of the rectangle so that it has an
area of 96 cm??
2cm
3cm
Answer:
4
Step-by-step explanation:
If you increase the scale factor by 4, the sides become:
L= 2×4 = 8
W= 3×4 = 12
Now to find the new area:
8 × 12 = 96cm^2
So, a scale factor of 4 would give the rectangle a scale factor of 96.
Hope this helps and have a nice day!
Divide.
(−1/6)÷(−5/6)
What is the quotient?
Enter your answer as a simplified fraction in the box. please thank you!!!
Answer:
(−1/6)÷(−5/6) which when you cancel gets 0.2 or also 1/5.
Step-by-step explanation:
Wich equation has infinitely many solutions?
a)-3x+2+2x=5x+2-6x
b)-3x-2+6x=3x+4-2
c)-4x-2+3x=-1x+5
d)6x+3x-54=-9x-54
Answer:
a)-3x+2+2x=5x+2-6x
Step-by-step explanation:
Have a great day :)
Name the scale of the number line shown.
The scale of the given line will be 4 which is the difference in the length between the two successive numbers.
What is Number Line?In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.
The number line is given in the question.
The scale of the number line is the difference in the length between the two successive numbers.
According to the given number line,
Here numbers are 9, 13, 17, 21, 25, 29
So the difference in the length between the two successive numbers
⇒ 13 - 9 = 17 - 13 = 21 - 17 = 25 -21 = 29 - 25 = 4
Therefore, the scale of the given line will be 4.
Learn more about the number line here:
brainly.com/question/17617832
#SPJ1
Determine whether x-1 is a factor of the polynomial f(x)= x^3 + 2x^2-3
If x-1 is a factor f(1)=0
[tex]\\ \sf\longmapsto f(1)=0[/tex]
[tex]\\ \sf\longmapsto 1^3+2(1)^2-3=0[/tex]
[tex]\\ \sf\longmapsto 1+2-3=0[/tex]
[tex]\\ \sf\longmapsto 3-3=0[/tex]
[tex]\\ \sf\longmapsto 0=0[/tex]
Verified
what is 8 x 100 + 4 x 10 + 7 x 1/10 + 3 x 1/100 in standard form
Answer:
Step-by-step explanat:
8*100 =800
4*100=400
7*1/10=0.7
3*1/100=0.03
800+400+0.7+0.03= 1200.73
0.21 multiplied by 16
Answer:
3.36
Step-by-step explanation:
0.21 times 16 is 3.36
Answer:3.36
Step-by-step explanation:
A high school teacher teaches three classes per day. Her first class has double the number of students as her second class, while her third class has 13 more students than her second class. In total, she teaches 53 students. The equation 2x + x + (x +13) = 53 represents this scenario, where x is the number of students
in her second class.
How many students are in her second class?
Answer: 10
Step-by-step explanation: first subtract 13 from 53 which gives you 40 then divide 40 by 4 which gives you 10 but because your first class is double more than your second class it has 20 students and your second class has 10 students and because you have to add that 13 back in your third class has 23 students
I need the answer please I’ll give Brainliest
Just trying to see if my answer is correct if not please correct me <3
Answer:
Correct Answer
Step-by-step explanation:
The step that you use is right.
Help Asap Help for Brainlist
Answer: i dont under stand
Step-by-step explanation:
Please help I will mark brainliest!
Answer:
I am very sorry I dont know
Step-by-step explanation:
2.356
Expanded Form
Word Form
24.09
Expanded Form
Word Form
Answer:
2.356 =
2
+ 0.3
+ 0.05
+ 0.006
two and three hundred fifty-six thousandths
24.09 =
20
+ 4
+ 0.0
+ 0.09
twenty-four and nine hundredths
Step-by-step explanation:
Your welcome please give a thanks and 5 stars
Answer:
2.356
Expanded Form - 2 + 0.3 + 0.05 + 0.006
Word Form - two and three hundred fifty-six thousandths
24.09
Expanded Form - 20 + 4 + 0.09
Word Form - twenty-four and nine hundredths
Hope it helped!
On Saturday, Lauren ran 3.15 miles during her track event. Then she ran 0.68 miles home after the event.
How many miles did Lauren run that day?
Answer:
3.83
Step-by-step explanation:
So what they’re finding out is how much miles did she ran, so we’re gonna ADD.
> 3.15 + 0.68 = 3.83
So she would’ve ran 3.83 miles that day.
37 1/4 x 24
Show work please
Answer:
894
Step-by-step explanation:
Because calculator doesn’t lie
HELP ASAP PLEASE!!! 20 POINTS!!!! NO LINKS ALLOW!!!
For both Bruce and Felicia, graph a line to represent y, the area each person covered using x tiles.
Answer:
Here's the answer in the attachment
hope this helps, you're welcome
write an equation that passes through (2,4) is parallel to the line 3x-2y=-10
Answer:
y = 3x/2 + 3
Step-by-step explanation:
First let's solve for y in the given equation
Subtract 3x from both sides
3x - 2y = -10
- 3x - 3x
-2y = -3x - 10
Divde both sides by -2
-2y/-2 = (-3x - 10)/-2
y = 3x/2 + 5
The slop of the parallel equation will have to be 3/2
y = 3x/2 + b
Plug in the given coordinates
4 = 3(2)/2 + b
4 = 1 + b
Subtract 1 from both sides
4 = 1 + b
- 1. - 1
b = 3
y = 3x/2 + 3
Please find the equation of the quadratic
Answer:
y = 4(x - 3)² - 5
Step-by-step explanation:
Given the vertex, (3, -5), and the other point, (4, -1):
Substitute these values into the vertex form of the quadratic equation:
y = a(x - h)² + k
where:
(h, k) = vertex
a = determines the direction of which the graph opens (if a > 1, the graph opens up; a < 1, the graph opens down). The value of a also determines the width of the parabola. If 0 < a < 1, the graph will be wide; if a > 1, the graph will be narrow.
h = indicates a horizontal translation.
k = indicates a vertical translation.
Next, substitute the values of the vertex, (3, -5), and the other given point, (4, -1) into the vertex form and solve for the value of a:
y = a(x - h)² + k
-1 = a(4 - 3)² - 5
-1 = a( 1 )² - 5
-1 + 5 = a1 - 5 + 5
4 = a
Therefore, the equation of the given graph is: y = 4(x - 3)² - 5.
Note:
If the equation needs to be in standard form, ax² + bx + c, simply expand the binomial factors in the vertex form, and combine like terms. Doing so will result in the following standard form: y = 4x² - 24x + 31.
What is the number that makes the ratio equivalent to 3:6?
Answer:
I think 3/6
Step-by-step explanation:
3:6=3/6
Find the next two terms. 81, 27, 9, ?, ?
Answer:
3 and 1
Step-by-step explanation:
Similarly each term is 1/3 of the previous term. This is a geometric sequence.
9/3 = 3
3/3 =1
Can someone help me with this
Answer:
I can't see the sign between 2 and (1/3)^3 in the last question, it's a bit blurry. You should send it again.
Step-by-step explanation:
please mark BRAINLIEST
asap please question 444444444j if jritjti rn fjjf
Answer:
(0.5,-3.5)
Step-by-step explanation:
Tameka owes 4 of her friends $20 each. How much money does tameka owe in total ?
Answer:
80
Step-by-step explanation:
Answer:
80$
Step-by-step explanation:
1 friend=20$
20$+20$+20$+20$
AKA 20x4
=80
Your round-trip drive to work is 4310 miles. How many miles do you drive to and from work in 3 days?
Step-by-step explanation:
12930 miles add 4310 3 times
Answer:
Step-by-step explanation:
Gold weighs 19.32 grams per cubic centimeter. If a gold coin contains 2.4 cubic centimeters
of gold, how much does it weigh in grams? Show your work.
Answer:
46.368 grams
Step-by-step explanation:
19.32g per 1 cubic cm
?g per 2.4 cubic cm
19.32 x 2.4 = 46.36800
