Answers
Answer:
12 burgers, 0 sub sandwiches or 7 burgers, 5 sandwiches
Step-by-step explanation
First, we need to form the equation. This will be 2.50x + 3.50y ≤ 30.
2.5x + 3.5y ≤ 30
Now I'll solve for x here, but you don't have to.
First I'll move 3.5y to the other side by subtracting that value from both sides.
2.5x ≤ -3.5y + 30
Next, divide by 2.5 to get just x on the left.
x ≤ -1.4y + 12
Now to substitute.
2.5(-1.4y + 12) + 3.5y ≤ 30
-3.5y + 30 + 3.5y ≤ 30
Wait a second...This creates... (canceling out -3.5y and 3.5y...)
30 ≤ 30
The two sides are the same! That means one solution has y being 0. 30/2.5 (as we already figured out) is 12. So one solution is (12, 0).
Solution 2 can be figured out with this. What is the LCM of 3.5 and 2.5? Here we really need to use 35 and 25.
First, to factorize.
25: 5 * 5
35: 5 * 7
A five in is common. So to get the LCM, we need to multiply 5 * 7 * 5 to get 175. However, since this is in TENTHS, it's actually 17.5 being the LCM between 3.5 and 2.5.
Since 7 * 2.5 = 17.5, as does 3.5 * 5, our other solution is (7, 5).
Related Questions
Find The Value Of x ?
[tex]1) \sf \large \: log_{3}( \frac{1}{3} ) = x[/tex]
[tex]2) \large\sf log_{3}(x - 1) = 2[/tex]
Thankuhh☃️
Answers
Answer:
1) [tex]x = -1[/tex] || 2) [tex]x = 10[/tex]
Explanation:
1)
→ [tex]\log _3\left(\frac{1}{3}\right)=x[/tex]
→ [tex]\frac{1}{3} = 3^x[/tex]
→ [tex]3^{-1} = 3^x[/tex]
→ [tex]x = -1[/tex]
2)
→ [tex]\log _3\left(x-1\right)=2[/tex]
→ [tex]x - 1 = 3^2[/tex]
→ [tex]x -1 = 9[/tex]
→ [tex]x = 9 +1[/tex]
→ [tex]x = 10[/tex]
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
Here's the solution ~
Question 1 :[tex]\qquad \sf \dashrightarrow \: log_{ {3} }( \frac{1}{3} ) = x[/tex]
[tex]\qquad \sf \dashrightarrow \: log_{ {3} }( {3}^{ - 1} ) = x[/tex]
[tex]\qquad \sf \dashrightarrow \: log_{ {3} }( {3})^{ - 1 } = x[/tex]
[tex]\qquad \sf \dashrightarrow \: - 1 \times log_{3}(3) = x[/tex]
[tex]\qquad \sf \dashrightarrow \: - 1 \times 1 = x[/tex]
[tex]\qquad \sf \dashrightarrow \: x = - 1[/tex]
Question 2 :[tex]\qquad \sf \dashrightarrow \: log_{3}(x - 1) = 2[/tex]
[tex]\qquad \sf \dashrightarrow \: x - 1 = {3}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: x = 9 + 1[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 10[/tex]
Let (f)=^2−3 and (g)=5−x^2
(f+g)(7)=
(f−g)(7)=
(fg)(7)=
(f/g)(7)=
Answers
Answer:the answer is d
Step-by-step explanation: it a d bc i know
What is the area of a circle (added a screen shot)
Answers
Answer:
2pi(5) - 2pi(3)
Step-by-step explanation:
hopefully that helped. just use formula and plug in the radius (:
Answer:
28.26 cm ^2
Step-by-step explanation:
A= [tex]\pi[/tex] r ^2
A= 3.14 x 3 x 3
A = 28.26 cm ^2
Express the following sentence in mathematic sentence, dividing 120 by 40 is equal to 3
Answers
Answer:
120/40=3
Step-by-step explanation: Hope this helps
Which of the following ratios is equal to 5 to 30?
Answers
Answer:
D
Step-by-step explanation:
5 divided by 5 equals 1 and whatever we do to one side, do to the other. 30 divided by 5 is 6. So, 5 to 30 is equivalent to 1 to 6.
Solve for p.
-5 = p + 5
p=
Answers
subtract p from both sides, and 5 to both sides
-p=10
p=-10
Answer:
[tex]p=-10[/tex]
Step-by-step explanation:
Given the following question:
[tex]-5=p+5[/tex]
In order to find the answer, we subtract 5 on both sides:
[tex]-5=p+5[/tex]
[tex]5-5=0[/tex]
[tex]-5-5=-10[/tex]
[tex]-10=p[/tex]
[tex]p=-10[/tex]
Hope this helps.
Find the area of the shaded region.
Answers
Step-by-step explanation:
total area
20 × 17 = 340cm²
unshaded region
9 × 6 = 54cm²
area of shaded region
340 - 54 = 286cm²
Identify fraction 40/40
Answers
Answer:
it's a unit fraction by cancelling it
Answer:
Whole fraction
Step-by-step explanation:
40/40
= 1
☆ Since we get 1 as the answer, the fraction is a whole fraction.
Hope it helps ⚜
Imagine the following scenario: A student is about to take the final exam and has completed all assignments except the final exam. Out of 100 possible Project Assignment points, they have received 61 points. Out of 100 possible Quiz points, they have received 54 points If the student wanted to receive an overall B grade in the class, what do they need to score on the final exam? Give your answer as a percentage rounded to the nearest for decimal place (no percentage sign necessary), e.g., if I calculated 99.68%. I would enter 99.7.
Project Assignments: 60%
quizzes: 10%
final exam:30%
Answers
Answer:
126.7 if B=80
93.3 if B=70
Step-by-step explanation:
Let F represent the student's score on the final exam, and let B represent the percentage required for a grade of B. Then we must have ...
0.60(61) +0.10(54) +0.30F = B
B = 0.30F +42
F = (B -42)/0.3
__
If a grade of B requires 80 points or more, then the required grade on the final is ...
F = (80 -42)/0.3 = 38/0.3 = 126 2/3
The student must get 126.7% on their final to achieve an overall average of 80.
__
If a grade of B requires 70 points or more, then the required grade on the final is ...
F = (70 -42)/0.3 = 28/0.3 = 93 1/3
The student must get 93.3% on their final to achieve an overall average of 70.
If you have a distribution of 100 scores, and you want 20 intervals, what should be the size of your class interval
Answers
Answer:
5
Step-by-step explanation:
You simply just divide 100 by 20 and get your answer which is 5.
When you distribute something, you are dividing it into parts. In math, the distributive property helps simplify difficult problems because it breaks down expressions into the sum or difference of two numbers
Using the net below, find the surface area
of the rectangular prism.
Anybody help please?
Answers
Answer:
the surface area would be
94 cm squared
Subtract (8b^2+7b+5)-(b+4)
finle answers
Answers
Answer:
[tex] {7}^{2} [/tex]
[tex]7[/tex]
equations
Write an exponential function in the form y=ab^x
that goes through points (0, 4) and (2,324).
Answers
Answer:
Y=4×9^x
Step-by-step explanation:
The points given satisfy the function Y.
Therefore insert points to find value of a and b.
Then verify
Will give Brainliest!!! PLEASE HELP!!! 30 Points for this
For a quadrilateral to be a square, the diagonals must be ________________.
parallel
perpendicular
congruent and perpendicular
congruent
Answers
Answer:
congruent and perpendicular
Step-by-step explanation:
Answer:
congruent and perpendicular
Step-by-step explanation:
Find the quadratic equation
[tex]9y {}^{2} - 12y - 14 = 0[/tex]
Answers
[tex]9y^2-12y-14=0\\D=(-12)^2-4\times9\times(-14)=144+504=648=(\pm18\sqrt{2})^2 \\\\y_1=\dfrac{12+18\sqrt{2} }{18} =\dfrac{2+3\sqrt{2} }{3} \\\\y_2=\dfrac{12-18\sqrt{2} }{18} =\dfrac{2-3\sqrt{2} }{3}[/tex]
Answer:
Solve the equation for y by finding a,b, and c of the quadratic then applying the quadratic formula.
Desimal Form: 2.08088022…,−0.74754689…
the guy on top of me is right I just gave you the desimal form he/she give you the rest
Step-by-step explanation:
How many solutions are there to the equation below? x2 = 16 A.2 B.4 C.16 D.1 E.0
Answers
Answer:
2
Step-by-step explanation:
x^2 = 16
x = + √16
x = + 4
therefore
x= -4 or 4
there are 2 solutions in the equation
If 35% of a number is 98 and 60% of the same number is 168, find 95% of that number
Answers
Answer:
266
Step-by-step explanation:
Based on the given conditions, formulate: 98+168
Calculate the sum or difference:266
Therefore Correct Answer = 266
[RevyBreeze]
i’ll give brainliest!
Answers
Answer:
okay ans is A(w)=w2+5w-1/8piw2
What is the horizontal and vertical shift for the absolute value function below?
f(x) = |x -5|+ 1
Answers
Answer:
Moving to the right by 5 units
Moving up by 1 unit
Step-by-step explanation:
The basic absolute value function is f(x) = |x|
The graph vertex is at the origin.
Adding a value inside the absolute value brackets changes the vertex of the graph horizontally.
Adding a term moves it to the leftSubtracting a term moves it to the rightAdding a value outside the absolute value brackets changes the vertex vertically.
Adding a term moves it upSubtracting a term moves it downHere, in the absolute value, we are subtracting by 5, so we move to the right 5
Outside the brackets, we are adding 1, so we move up 1.
-Chetan K
Help, please! It wont let me type out the question so I put a picture in
Answers
is 1.165 greater than 1.02
Answers
Answer:
yes
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
if u put 1.02 into the thousandths it becomes 1.020 which is obviously less than 1.165
A plumber charges £140 for a 4 hour job. How much does the plumber charge for a 3 hour job?
PLS GIVE WORKING OUT
THANKS :)
Answers
Answer:
for a three hour job it would be £105
Step-by-step explanation:
to find how much he charges an hour, we divide 140 by 4 and get 35.
from there we multiply 35(£) by 3(hours) and get 105(£).
23 yd
Find the area for the circle (use 3.14 for pi). Show your work. Round to the nearest tenth,
Answers
Answer: If the radius is 23 then the answer is 1661.9 (WHEN ROUNDED & WITHOUT). If the radius is 11.5 the answer is 415.5 (WHEN ROUNDED)
Step-by-step explanation:
The formula for the area of a circle is: radius x radius x pi/3.14
If a vehicle is going 72 mph, how many feet does the vehicle travel
in one second?
Answers
Answer:
simple math convert mph to fps and multiply by 72: 105.6
Step-by-step explanation:
I don't understand this please help
Answers
Answer:
350
Step-by-step explanation:
The solution to the equation can be found by multiplying by the denominator, then dividing by its coefficient.
[tex]0.22 = \dfrac{77}{x}\qquad\text{given}\\\\0.22x = 77\qquad\text{multiply by $x$}\\\\x=\dfrac{77}{0.22}=350\qquad\text{divide by the coefficient of x}[/tex]
The missing value in the fraction is 350.
__
Additional comment
Here, we have rewritten the percentage as a decimal fraction. You could also rewrite it as a ratio of two integer: 22% = 22/100. Sometimes there is confusion about percentages. It can help to think of the % symbol as meaning /100:
22% = 22/100
Of course, that is "twenty-two hundredths" or 0.22.
If you just write the problem using 22/100 for 22%, then you get the proportion ...
22/100 = 77/x
22x = 7700 . . . . . "cross multiply" (multiply by 100x)
x = 7700/22 = 350 . . . . divide by the coefficient of x
__
If you're paying attention, you see that the solution of this kind of equation has the appearance that the denominator variable and the left-side value are simply swapped:
[tex]0.22 = \dfrac{77}{x}\ \leftrightarrow\ x=\dfrac{77}{0.22}[/tex]
Effectively, we have multiplied both sides of the equation on the left by x/0.22. There is a property of equality that lets us do that. There is no such thing as a property of equality that says "swap with denominator." You must always pay attention to what is allowed by the properties of equality.
Find the value of x.
to
890
121°
Answers
Answer:
32°
Step-by-step explanation:
Let the angle next to 121° be a,
a+121°=180°
a=180-121=59°
Now we have a=59°,
89° (given) and x, these threes form a triangle, therefore,
x+a+89°=180°
×+59°+89°=180°
x+148°=180°
x=180°-148°
x=32°
47/14 as a decimal rounded to the nearest hundreth
Answers
Answer:
3.36
Step-by-step explanation:
47/14
3 5/14
5 divided 14 is 0.3571428571
0.3571428571 + 3 = 3.357142857
3.357142857
3.36
Use the Unit Circle to find the exact value of the inverse trig function.
Answers
Answer:
330
Step-by-step explanation:
When we are at 30 degrees on the unit circle, we are at the point ([tex]\sqrt3[/tex]/2, 1/2) so if we go to -30 degrees (330 degrees), we will be at point (-[tex]\sqrt3[/tex]/2, -1/2).
Note: (cosine, sine)
Find the volume of a sphere with a radius of 7.5 inches. Give your answer in terms of u.
Answers
Answer:
1767.15cm^3
Step-by-step explanation:
volume of a sphere is V= 4/3 *pi* r^3
and pi is 22/7 or 3.142
and the value for r is 7.5
therefore v is 4/3 *3.142*7.5^3
v= 1767.15
oleaseeeee I need help.
Answers
Answer:
x≥ -5
Step-by-step explanation:
graph a shaded point on -5 and extend the line to the right since it is greater than or equal to -5
Answer:
X ≥-5, you would draw a number line and shade in a closed circle, then point the arrow to the right
Step-by-step explanation: