Answer: The cost of a small box is $4. The cost of a large box is $7.
Step-by-step explanation:
Let s = cost of a small box and L = cost of a large box
3s + 5L = 47
11s + 10L = 114
Multiply the top equation by -2 to combine with the second equation
-6s - 10L = -94
+11s +10L = 114
L cancels out, now solve for s
5s = 20
s = 4
Now, plug the value of s back into an equation to find the value of L
3(4) + 5L =47
12 + 5L = 47
5L = 35
L = 7
what is 3 tenths plus 8 tenths?
Answer:
1.1
Step-by-step explanation:
2. Solve (x – 4)(x + 7). (2 points) O x = 4, X= 7 X = =4, x = -7 x = 4, X = -7 X = -4, X = 7
Answer:
X = 4, x = -7
Step-by-step explanation:
You can set each equation in the parenthesis Equal to 0.
x - 4 = 0 and x + 7 = 0
start with x - 4 =0
add 4 to both sides
x = 4.
then do x +7 =0. subtract 7 from both sides.
x = -7
so x =4, and x = -7
Substitute 7 for xand evaluate the expression below.
9x-2x
Answer here
Answer:
The answer to this equation is 49
Step-by-step explanation:
9x-2x
9×7=63
2×7=14
63-14=49
A student has started a lawn care business. He charges $15 per hour to mow lawns and $20 per hour for gardening. Because he is still in school, he is only allowed to work for at most 20 hours per week. His goal is to make at least $300 per week. 1. Create a system of equations or inequalities that models the situation. Define the variables you use.
Answer:
15x=300, x=20
20x=300, x=15
Step-by-step explanation:
Answer:
:)
Step-by-step explanation:
15x=300
x will equal 20
20x=300
x will equal 15
Please hurry no clown answers and please do the whole thing
You are a member of your local movie theater’s club. Every time you see a movie at the theater, you earn 2 advantage points. When you earn 100 points, you get a free movie pass. Currently, you have 40 advantage points.
Write an equation to model the number of movies m you have to watch before you earn a free movie pass.
Solve the equation. Show your work.
100=40+2m
100-40=60
2m=60
60 divided by 2=30
30 movies
Answer:
2m+40=100, 30 movies
Step-by-step explanation:
1 movie = 2 points
1 pass= 100 points
curently have 40 points so
100points = 40points +2points *m
solve for m:
2m+40 =100 subtract 40 from both sides
2m = 100-40
2m=60 divide both sides by 2
m=60/2
m=30
if the transformation was a rotation, tiffany..... be certain the trapezoids are congruent
A. can
B. cannot
Janka si vložila 3200 eur na termínovaný účet s 1,2 úrokovou mierov koľko bude mať po 1 roku
Answer:
the present value is 3,162 euros
Step-by-step explanation:
The computation of the present value is shown below:
As we know that
Future value = Present value × (1 + rate of interest)^number of years
3,200 euros = Present value × (1 + 0.012)^1
3,200 euros = Present value × 1.012^1
Present value is
= 3,200 euros ÷ 1.012
= 3,162 euros
Hence, the present value is 3,162 euros
I got 24 miles for each kind of gas in my car which one of the following is a equivalent radio of miles to gallons.
A. 48 to 2
B. 2 to 48
C. 1 to 24
D. 3 to 240
I believe that the answer is B
A store had a sale where you could get 5 bags of cashews for $4. If you
wanted to buy 50 bags, how much would it cost?
Answer:
$40
Step-by-step explanation:
50/5=10, 10•4=40
What is 1+2+3+4+5+6+7+8+9+10=?
have a great day!! :)
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55
Answer:
55
Step-by-step explanation:
9 + 1 = 10
8 + 2 = 10
7 + 3 = 10
6 + 4 = 10
5 + 10 = 15
10 + 10 + 10 + 10 + 15 = 55
How many solutions does 5 - 2x = 4 - 2x + 4 + x have?
A. Infinitely many solutions
B. Two solutions
C. One solution
D. No solutions
Answer:
One solution, being x = -3
Step-by-step explanation:
A jewelry store is having a going out of busniess sale. All merchandise is marked 40% off the reguler price. The regualr price of a watch is $59.95. Find the amount of the discount and the sale price.
Answer:
Amount of the Discount: $23.98
Sale Price: $35.97
Step-by-step explanation:
In order to calculate the discount we first need to turn this percentage into a decimal by dividing it by 100. Once we have it in decimal form we subtract that value from 1. Finally, we multiply this new decimal by the original price in order to obtain the sale price like so...
40 / 100 = 0.40
1 - 0.40 = 0.60
0.60 * 59.95 = 35.97
Now we have the sale price which is $35.97 now we can subtract this value from the original price to calculate the amount of the discount.
59.95 - 35.97 = 23.98
Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse functions
Answer:
[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]
[tex]a(a'(d)) = a'(a(d)) = d[/tex]
Step-by-step explanation:
Given
[tex]a(d) = 5d - 3[/tex]
Solving (a): Write as inverse function
[tex]a(d) = 5d - 3[/tex]
Represent a(d) as y
[tex]y = 5d - 3[/tex]
Swap positions of d and y
[tex]d = 5y - 3[/tex]
Make y the subject
[tex]5y = d + 3[/tex]
[tex]y = \frac{d}{5} + \frac{3}{5}[/tex]
Replace y with a'(d)
[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]
Prove that a(d) and a'(d) are inverse functions
[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex] and [tex]a(d) = 5d - 3[/tex]
To do this, we prove that:
[tex]a(a'(d)) = a'(a(d)) = d[/tex]
Solving for [tex]a(a'(d))[/tex]
[tex]a(a'(d)) = a(\frac{d}{5} + \frac{3}{5})[/tex]
Substitute [tex]\frac{d}{5} + \frac{3}{5}[/tex] for d in [tex]a(d) = 5d - 3[/tex]
[tex]a(a'(d)) = 5(\frac{d}{5} + \frac{3}{5}) - 3[/tex]
[tex]a(a'(d)) = \frac{5d}{5} + \frac{15}{5} - 3[/tex]
[tex]a(a'(d)) = d + 3 - 3[/tex]
[tex]a(a'(d)) = d[/tex]
Solving for: [tex]a'(a(d))[/tex]
[tex]a'(a(d)) = a'(5d - 3)[/tex]
Substitute 5d - 3 for d in [tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]
[tex]a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}[/tex]
Add fractions
[tex]a'(a(d)) = \frac{5d - 3+3}{5}[/tex]
[tex]a'(a(d)) = \frac{5d}{5}[/tex]
[tex]a'(a(d)) = d[/tex]
Hence:
[tex]a(a'(d)) = a'(a(d)) = d[/tex]
f(x) = -4x^2 + 5x
Find f(6)
Answer:
-114
Step-by-step explanation:
f(6) it means f(x=6) so substituting x=6 in your equation gives us
f(6)= -4*(6)²+5*(6)
= -4*36+30
= -144+30
= -114
-5+12+6x=7x-10+53+3x
Answer:
x=-9
Step-by-step explanation:
The least common denominator of[tex]\frac{1}{6} and \frac{5}{12}[/tex] is 12.
TrueFalse
2.332 divided by 2.2
Answer:
1.06
Step-by-step explanation:
2.332 divided by 2.2
= 1.06
Hope this helped!
Answer:
1.06
Step-by-step explanation:
help me real quickhahahahaha
Answer:
19
Step-by-step explanation:
2d= 2 x 8= 16
16+3= 19
Answer:
Step-by-step explanation:
2d + 3 (d=8)
(2*8) + 3 =
16 + 3 =
19
Which values could be the values of x and y?
Answer:
1 3/4, 9 1/4
Step-by-step explanation:
continue the pattern
What's 7 times 2 plus 5 to the 3rd power
Answer:
139
Step-by-step explanation:
7x2+5^3 = 139
For brainliest :)
Oml i need more characters
There :)
Answer:
Imfaooooooo
Step-by-step explanation:
Hope this helps or brightens your day! Please consider marking brainliest! Always remember, your smart and you got this! -Alycia :)
Answer:
characters for what?
anyways....I need brainiest! :P
The sum of two numbers is 8 and the diffrence is 6 what are the two numbers?
If you flip a coin 6 times, what is the best prediction possible for the number of times it will
land on heads?
Answer:
3
Step-by-step explanation:
50/50
Answer:
3 times or a 50% chance
Step-by-step explanation:
we have two options so that means half of the options will be heads and half of the options will be tails.
i hope this helps :)
A vector in standard position has its terminal point at (7, –4). What is the magnitude of the vector?
Answer:
Square root of 65
Step-by-step explanation:
Edge
The magnitude of the vector will be 8.0622 units.
What exactly is a vector?A vector is a quantity with a magnitude, and direction that follows the law of vector addition.
Given data;
u = (7, –4)
The magnitude of the vector is, R found as;
[tex]\rm R = \sqrt{7^2+(-4^2)} \\\\ R = \sqrt {65} \\\\ R = 8.0622 \ units[/tex]
Hence the magnitude of the vector will be 8.0622 units.
To learn more about vectors, refer;
https://brainly.com/question/13322477
#SPJ2
Please help! I’ll give brainliest to whoever gets it right!
Answer:
3.62
Step-by-step explanation:
I am big brain and very smort
Answer:
362/ 100 or 3 62/100
Step-by-step explanation:
2(4 + 7) − 8 ÷ 2 whats the answer
Answer:
your answer is 18 look below for an explanation!
Step-by-step explanation:
please just trust me i know for a fact its right plz leave a thx and may i please have brainliest?
because 2(4+7)= 8+14= 22. 8/2= 4. 22-4=18.
Jorge's family arrived home at 8:00 at night after traveling in the car for 5 hours and 15 minutes. What time did Jorge's family leave?
Answer:
2:45 P.M
Step-by-step explanation:
Answer:
3:45
Step-by-step explanation:
8:00-5 hours and 15 min=3:45
On a coordinate plane, a vector has an origin (0, 0) and terminal point (8, 7).
Which description of the vector shown is correct?
The magnitude is 15, and the direction angle is approximately 49°.
The magnitude is 15, and the direction angle is approximately 41°.
The magnitude is StartRoot 113 EndRoot, and the direction angle is approximately 49°.
The magnitude is StartRoot 113 EndRoot, and the direction angle is approximately 41°.
Answer:
D. The magnitude is StartRoot 113 EndRoot, and the direction angle is approximately 41°.
Step-by-step explanation:
The correct description of the vector is that the magnitude is √(113) and therefore the direction angle is 41°.
What is the magnitude of the vector?The magnitude of the vector is the length of the vector which can be calculated from the coordinate of its endpoint.
Let (x1,y1) and (x2,y2) are the coordinate of the two endpoints of a vector V.
The magnitude of the vector= |V|= √(y2-y1)²+(x2-x1)²
We have,
Origin of vector = (0,0)
And,
Terminal point = (8, 7)
Here,
a = 8 and b = 7
Now,
To find the magnitude of the vector, we are going to use;
Formula, |v| = √(a² + b² )
|v| = √(8² + 7² )
|v| = √(64 + 49)
|v| = √113
So, the magnitude of the vector is √113.
Now,
Direction angle is find out using ;
Θ = tan ⁻¹ (b / a)
So, Here,
Θ = Angle Direction
Now,
Θ = tan ⁻¹ (7 / 8)
Θ = 41°
Therefore, the proper description of the vector is that the magnitude is √(113) and also the direction angle is 41°.
Learn more about the magnitude of the vector here:
https://brainly.com/question/27708309
#SPJ2
Sally put dots on a place value chart to show a number. She had a total of 10 dots. She put 3 in the tens place, 5 in the hundreds place, and 2 in the thousands place. Which of these is Sally’s number?
A.
253
B.
2503
C.
2530
D.
25,300
Two triangular tiles each have two sides measuring four inches. Which is a true statement?
A) Their corresponding angles are congruent.
B) The triangles are congruent.
C) The triangles may be congruent.
D) The triangles cannot be congruent.
Answer:
C; The triangles may be congruent
Step-by-step explanation:
Here, we have two sides of the each of the triangles equal already
By congruency, we might have SSS or SAS
if SSS, this mean that all the sides are equal
Since we do not know the measure of the third side, we cannot say that they are not congruent or they are congruent
Also, we do not know the measure of the angles of the triangles
If we have an angle that is equal in the two triangles, then we can have congruency through SAS
But since we do not know how these measures, we use the word ‘may’