Given :
The Sugar Sweet Company will choose from two companies to transport its sugar to market.
The first company charges $3995 to rent trucks plus an additional fee of $225.75 for each ton of sugar.
The second company charges $5500 to rent trucks plus an additional fee of $150.50 for each ton of sugar.
To Find :
How, many tons of sugar will cost same in both companies.
Solution :
For company 1 :
P1 = (225.75)x + 3995
For company 2 :
P2 = (150.50)x + 5500
For same cost :
P1 = P2
(225.75)x + 3995 = (150.50)x + 5500
x( 225.75 - 150.50 ) = ( 5500- 3995)
x( 75.25 ) = 1505
x = 20
Therefore, 20 tons of sugar will cost same.
Hence, this is the required solution.
There were 3 boys for every 4 girls in the group. If there were 20 girls, how many students in all went on the field trip?
Answer:
35 students
Step-by-step explanation:
15 Boys and 20 girls
Hope this is what you needed!
Answer:
Step-by-step explanation:
3 Boys= 4 Girls
[tex]\frac{3}{4} = \frac{boys}{girls}[/tex]
[tex]\frac{3}{4} = \frac{boys}{20}[/tex]
boys= 15
Total students: 15+20=35 students
Find the value of the variable that results in congruent triangles. Complete the explanation.
F
30°
30°
9 in.
9 in.
(2x) in.
(x + 4) in.
А
B
D
E
AC is congruent to DF, because AC
DF = 9 in. 2C is congruent
to ZF. EF
must correspond to BC. The triangles (select) » congruent by the (select) Triangle
Congruence Theorem only when x = |
Answer:
[tex] \overline{AC} [/tex] is congruent to [tex] \overline{DF} [/tex], because [tex] \overline{AC} = 9in [/tex], [tex] \overline{DF} = 8 in [/tex]. <C is congruent to <F. [tex] \overline{EF} [/tex] must correspond to [tex] \overline{BC} [/tex]. The triangles are congruent by the SAS Triangle
Congruence Theorem only when x = 4.
Step-by-step explanation:
From the figures given, ∆ABC and ∆DEF have an included corresponding angles measuring 30° each (<C and <F), and also a given corresponding side length of 9 in each (side AC and side DF). The other given as am expression, and hence the length is unknown. For these two ∆s to be considered congruent, using the SAS Triangle Congruence Theorem, we must have two sides and an included angle of ∆ABC equal to the corresponding sides of and an included angle of ∆DEF.
We already know that 1 of the given side corresponding side lengths are equal and also the include angles are equal, to find out what value of x that will make both unknown corresponding lengths equal, in other for the SAS to be true, set 2x equal to (x + 4) to solve for x.
Thus:
2x = x + 4
Subtract x from both sides
2x - x = 4
x = 4
Substituting x = 4 into 2x and x + 4 will give us equal lengths of 8 in respectively. Therefore, if x = 4, both triangles will be congruent based on the SAS Triangle Congruence Theorem.
The answer is:
[tex] \overline{AC} [/tex] is congruent to [tex] \overline{DF} [/tex], because [tex] \overline{AC} = 9in [/tex], [tex] \overline{DF} = 8 in [/tex]. <C is congruent to <F. [tex] \overline{EF} [/tex] must correspond to [tex] \overline{BC} [/tex]. The triangles are congruent by the SAS Triangle
Congruence Theorem only when x = 4.
are 2x +4 = 10 and 3x +6 = 15 equivalent. equations? how do you know.
Answer:
Yes, the two equations are equivalent.
Step-by-step explanation:
For the first equation, we will solve for x.
2x + 4 = 10
Subtract 4 from both sides...
2x + 4 = 10
-4 -4
It then becomes
2x = 6
Then we divide by 2 on both sides.
2x = 6
2 2
Then the answer is...
x = 3
Now let's also solve for x on the second equation.
3x + 6 = 15
Subtract 6 on both sides to get x alone...
3x + 6 = 15
-6 -6
Then it is..
3x = 9
Lastly, divide by 3 on both sides...
3x = 9
3 3
Then it becomes
x = 3.
Then we see that both equations have x = 3, meaning when both x's = 3, then both equations will be equivalent. I hope this helps, and I hope it is not wrong, but I don't think it is.
Paralympics/Biking: List 3 ways math is used in biking
Please helppp
Answer: Calculating miles, calculating burned calories, and finding out your target heart rate.
Step-by-step explanation:
Answer:
Angles, the circumference of the wheel, and ratios for the gears
Step-by-step explanation:
Without these, a bike can't function.
Find the distance between the points. A(3, 0) and B((8,10)
Answer:
The distance is 5 square root of 5, or if it asks in decimal form it would be 11.180.
Step-by-step explanation:
To find the distance between any points, you must use the distance formula. When you plug in the points given, you end up with 11.180. I hope this helps!
Example
Find an equation of the line containing the points (2, 2)
and (-6, -4),
Solution First, we find the slope:
Answer:
6/8
Step-by-step explanation:
y^1-y^2/x^1-x^2
2+4/2+6
6/8
Answer:
Step-by-step explanation:
y=.5x+-1 ?
what fraction is -1/3 minus -5/12 equivalent to as a addition expression.
Answer:
-3/4 I think do
Answer:
To add or subtract two like fractions, simply add or subtract the numerators and put the result over the common denominator, so your answer is 0.08333333333
Step-by-step explanati
When measuring volume what is the proper unit in science
Answer: liters
Step-by-step explanation:
294 is equal to the quotient of f and 373
Write the sentence as an equation
Answer:
f/373 = 294
Step-by-step explanation:
What Is the value of X?
Lines cut by a transversal line...
(2x–5)° + 45° = 180° (sum of consecutive interior angles
=> 2x + 40 = 180
=> 2x = 180– 40
=> x = 140 /2
=> x = 70
The required value of the x is 70 in the measures of the angle.
Given that Line m and n are parallel lines and intersect by a transversal line l.
When a transversal line intersects two other lines, it creates eight angles, four of which are called exterior angles and four are called interior angles.
From the sum of consecutive interior angles we have;
(2x–5)° + 45° = 180°
2x + 40 = 180
2x = 180– 40
x = 140 /2
x = 70
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Is √38 rational or irrational
Answer:
Rational
Step-by-step explanation:
Answer:
irrational
Step-by-step explanation:
because it does not simplify into a whole number
Question 9 of 10
Which expression is equivalent to -16 - 9?
A. -16+(-9)
B. 16+(-9)
C. 16+9
D. -16 +9
Answer:
b
Step-by-step explanation:
Help me solve this problem
Answer:
k = 3
Step-by-step explanation:
8k - (6k - 4) = 10
8k - 6k + 4 = 10
2k + 4 = 10
2k = 10 - 4
2k = 6
k = 3
Answer:
k=3
Step-by-step explanation:
8k-(6k-4)=10
Multiply everything inside of the parentheses by the negative.
8k -6k -4=10
Combine like terms
2k - 4 = 10
Subtract 4 from both sides
2k = 6
Divide by 2 on both sides
k-3
What is the exact value of sin(157.5)?
Answer:
Its B edg
StartFraction StartStartRoot 2 minus StartRoot 2 EndRoot EndEndRoot Over 2 EndFraction
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
edge
hope this helped! :D
What is the equivalent expression to (8^-5/2^-2)^-4
Answer:
8^20 / 2^8
Step-by-step explanation:
when it is raised. you multiply it.
Nico earns $12.50 per hour as a math tutor. Show that the relationship between the amount he earns and the number of hours he tutors is a proportional relationship. What is the constant of proportionality (k). Then write the equation for the relationship.
Answer:
12.50k
Step-by-step explanation:
I came to this answer as k is the number of hours, and 12.50 is how much per hour.
Need help for math! Open the picture above number 7 thank you
Answer:
1975....?
Step-by-step explanation:
3.860x10^3 - 1.885x10^3
When simplifying the expression in part H, how many times will the sign change on the positive term? Will the final expression be positive or negative?
Answer:
There are two -1s in the expression, so the sign of the positive term will change two times: positive → negative → positive. So, the final expression will be positive.
Step-by-step explanation:
Answer:
There are two -1s in the expression, so the sign of the positive term will change two times: positive → negative → positive. So, the final expression will be positive.
Step-by-step explanation:
Harold worked 40 hours between Monday and Friday and then more hours during the weekend. Over the whole week, he worked over 52 hours. (Use h as a variable.)
Answer:
h=12
Step-by-step explanation:
I think the question is asking how long he worked over the weekend.(sorry if that's not what they were asking)
More specifically: h is greater than or equal to 12
Car A travels 127 miles in 4 hours. Car B travels 350 miles in 4 hours. Car C travels 583 miles in 14 hours. Which car has the fastest average speed?
Answer:
B is the answer
An ice cream shop charges customers a set amount for one scoop of ice cream, plus a charge per topping. If two toppings would cost a total of $3.99, and 4 toppings $4.99, what is the rate per topping?
Answer:
$0.50 per topping
Step-by-step explanation:
x + 2t = 3.99
x + 4t = 4.99
x + 2t = 3.99
2t = 3.99 - x
t = 1.995 - 0.5x
x + 4t = 4.99
x + 4(1.995 - 0.5x) = 4.99
x + 7.98 - 2x = 4.99
7.98 - x = 4.99
-x = -2.99
x = 2.99
t = 1.995 - 0.5(2.99)
t = 1.995 - 1.495
t = 0.50
The rate per toppings is given by the equation A = $ 0.50
What is an 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.
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 data ,
Let the cost of the toppings be represented as A
Now , the equation will be
The cost of 2 toppings = $ 3.99
So , 2A = 3.99 be equation (1)
The cost of 4 toppings = $ 4.99
And , 4A = 4.99 be equation (2)
Subtracting equation (1) from equation (2) , we get
4A - 2A = 4.99 - 3.99
On simplifying the equation , we get
2A = 1.00
Divide by 2 on both sides of the equation , we get
A = $ 0.50
Therefore , the value of A is $ 0.50
Hence , the cost of one toppings is $ 0.50
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David is making mixed candy bags for trick-or-treaters. He has 45 gummy bears and 18 jelly beans left. He wants to put the same number of both types of candy into every bag. What is the largest number of candy bags he can make?
hola , alguien me podria decir cuanto es x+y=47 , tomando en cuenta que 40 alumnos y 14 profesores van de viaje , y en el hotel que se quedaran , los alumnos dormiran en cuartos dobles (2 camas) y los profesores en sencillas (1 cama) , y sumando en total son 47 habitaciones y 79 camas , y la incognita x es las habitaciones sencillas y la incognita y son las habitaciones dobles
Answer:
Step-by-step explanation:
40s=40×2=x
14t=14×1=y
40s=80
x=80
14t=14
y=14
A family built a house in a beach resort area. In 1990, the house was 430 ft from the water. With erosion, the house was 400 ft from the water in 2000. In what year will the house be only 250 ft from the water?
a. 1990
c. 2015
b. 2004
d. 2050
We develop an equation for the given situation by first writing the general equation for lines,
y = mx + b
Substituting to this given the values given above,
(1990) 430 = b
(2000) 400 = m(10) + 430
The value of m from the equation in 2000 is -3. Thus, the equation of that relates the variables is,
y = -3x + 430
Answer:
d. 2050
Step-by-step explanation:
the sum of two numbers is -18. if the first number is 10 which equation represents this situation and what is the second number?
can anyone help me with this question?
9514 1404 393
Answer:
E. 37
Step-by-step explanation:
Adjacent angles of a parallelogram are supplementary:
(4x -2)° +34° = 180°
4x = 148 . . . . . . . . . . . divide by °, subtract 32
x = 37 . . . . . . . . . . . . . divide by 4
Find the slope of the line that passes through (8, 9) (6, 12)
Please help
Find the solution when x=2 and y=6
x(7+ y) - 5
Answer:
21
Step-by-step explanation:
2(7+6)-5
2(13)-5
26-5
21
Function Homework f(x) g(x)
Answer:
5x-1
Step-by-step explanation:
- (-6x + 6) + 3 = 3 + 4x
I need help
Answer:
x=3
Step-by-step explanation:
-1(-6x + 6) + 3 = 3 + 4x
6x - 6 + 3 = 3 + 4x
6x - 3 = 3 + 4x
2x - 3 = 3
2x=6
x=3
Answer:
x=3
Step-by-step explanation:
-(-6x+6)+3=3+4x
6x-6+3=3+4x
6x-3=3+4x
6x-4x=3+3
2x=6
x=6/2
x=3
final answer
thank you bro