Answer:
A shipment of 150 bottles will weigh 120 pounds.
Step-by-step explanation:
Given that:
24 bottles of water weigh 30 pounds
Ratio of bottles to weight = 24 : 30
Number of bottles in shipment = 150
Weight of bottles = x
Ratio = x : 150
As the relation is proportional
24 : 30 :: x : 150
Product of mean = Product of extreme
30x = 24 * 150
30x = 3600
Dividing both sides by 30
[tex]\frac{30x}{30}=\frac{3600}{30}\\x= 120[/tex]
Hence,
A shipment of 150 bottles will weigh 120 pounds.
what is the answer to this
3x−y=7
−4x+6y=0
Answer:
-7, -0
Step-by-step explanation:
Tristan and Evan are employees for a company. Tristan is making a salary of $49,000. Evan is earning a salary that is 29% lower than the salary of Tristan. What salary is Evan earning?
Which of the coordinate points below will fall on a line where the constant of proportionality is 1/3? Select all that apply.
A) (5,8)
B) (3,1)
C) (9,3)
D) (12,4)
E) (18,6)
Answer:
The answer is B,C,D and E
The points that show the proportionality rate 1/3 are (3, 1), (9, 3), (12, 4) and (18, 6).
What is proportional relationship?A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.
We have constant of proportionality is 1/3.
And the proportionality is represented as x/y = k, where x and y are two expressions and k is constant.
So, x / y = 1/3
A) (5,8)
x/y = 5/8 ≠ 1/3
B) (3,1)
x/y = 1/3
C) (9,3)
x/y = 3/9 = 1/3
D) (12,4)
x/y = 4/12 = 1/3
E) (18,6)
x/y = 6/18 = 1/3
Therefore, B, C, D and E are the answers.
To learn more about the proportional relationship;
brainly.com/question/28777033
#SPJ2
1)) Simplify the expression:
0.6(-5 + 2p)
Answer:
1.2p−3
Step-by-step explanation:
Answer:
-3+1.2p
Step-by-step explanation:
Distribute .6 across the parenthesis (.6*-5 and .6*2p)
A Cable company charges $70 per month for cable service to existing customers.
a. Find a linear equation representing he relationship between x, the number of months of service, and y, the total amount paid in dollars by an existing customer.
b. For new customers, there is an additional one-time $100 service fee. Repeat the previous problem for new customers.
c. When the two equations are graphed in the coordinate plane, how are they related to each other geometrically?
I have two question I NEEDS HELP
1# Jason is participating in a walkathon. He writes the equation m = 2d + 50 to represent the amount of money he collects from each sponsor for walking d kilometers. What number represents the rate of change?
2# Cierra is keeping track of the amount of money in her lunch account each week. She writes the equation A = -6w + 40. What number represents the rate of change?
Answer:
The rate of change is the slope
In this case
m=2d+50 is a slope intercept equation.
where m is where the y would be
the 2 which is originally where the slope or (m) would be
the d for the (x)
and 50 for the y intercpet or (b)
so
#1=2
The expalantion is the same but different numbers, when asked for the rate of change look at the slope or the number next to the variable. Also put it in y=mx+b form to make sure the number is correct.
#2= -6
help please, im unsure
Answer:
The value of AM = 43
Step-by-step explanation:
As point M is the midpoint of AB, so
AB = AM + BMAM = BMGiven
AB = 8x - 50
AM = 2x + 9
so substituting AB = 8x - 50 and AM = 2x + 9 in the equation AB = AM + BM
AB = AM + BM
8x - 50 = 2x + 9 + BM
8x - 2x - 50 - 9 = BM
6x - 50 = BM
Thus,
BM = 6x - 59
As
AM = BM
so substituting AM = 2x + 9 and BM = 6x - 59 in the equation AM = BM
2x + 9 = 6x - 59
switch sides
6x - 59 = 2x + 9
subtract 2x from both sides
6x - 2x - 59 = 2x + 9 - 2x
4x - 59 = 9
add 59 to both sides
4x - 59 + 59 = 9 + 59
4x = 68
divide both sides by 4
4x/4 = 68/4
x = 17
Thus, the value of x = 17
Therefore, the value of AM will be:
AM = 2x + 9 = 2(17) + 9 = 34 + 9 = 43
Hence, the value of AM = 43
Verification:
AM = BM
2x + 9 = 6x - 59
2(17) + 9 = 6(17) - 59
34 + 9 = 102 - 59
43 = 43
and
AB = 8x - 50 = 8(17) - 50 = 86
Solve for x
5(x + 1) = 6x+2
Answer:
X = 3
Step-by-step explanation:
Bob ate a restaurant one night with 2 friends. The cost of his meal was 10% of the cost of the three meals before the tip. If I got two meal prices given n the tip given how do I find out the third meal ?
nose Step-by-step explanation:
PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG.
Identify the initial amount a and the rate of growth r (as a percent) of the exponential function
y = 25(1.2)^t .Evaluate the function when t = 5. Round your answer to the nearest tenth.
Answer:
62.2
Step-by-step explanation:
plug t=5 into calculator. if you don't have, use symbolab.
Correct the error. What should the line actually be?
Answer:
A line....
Step-by-step explanation:
Plz be more clear with your question!
Thank You
Question:Determine if the two triangles are congruent. If they are, state how you know.
Answer: If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
Step-by-step explanation: So we know that two triangles are congruent if all of their sides are the same-- so side, side, side. We also know they are congruent if we have a side and then an angle between the sides and then another side that is congruent-- so side, angle, side.
Simplify -2/3+(-3/5)
Answer:
-1.26666666667
Step-by-step explanation:
the midpoint of a line segment is (-3,4). The endpoints of the line segment are (x,9) and (-4,1). What is the value of x
Answer:
Step-by-step explanation:
please help meeeeeeee
Answer:
y = -1/2x + 1Step-by-step explanation:
Slope-intercept form:
y = mx + bUse two of the ordered pairs and find the slope:
m = (1-2)/(0-(-2)) = -1/2y-intercept is 1 as point (0, 1) is given in the table:
b = 1The line is:
y = -1/2x + 1what is the equation of the line that passes through the points (-6,-2) and has the slope of -1/6
Answer:
y=-1/6x-3
Step-by-step explanation2x+5=17 please help 50 points!!!!!!
Answer:
X=6
Step-by-step explanation:
would you like me to show how?
Answer:
x=6
Step-by-step explanation:
2x+5=17 Subtract 5 on both sides.
-5 -5
2x=12 Divide by 2 on both sides.
/2 /2
x=6
Hope this helps and have an amazing day ❤
please help me :( A standard six-sided die is rolled. What is the probability that it is not a 4?
Answer:
The answer is 5/6, or .833, 3 repeated.
Step-by-step explanation:
The 4 is only one side of the die, or 1/6 if the surface of the die. So the other part that is left is the other 5/6 of the surface.
Answer:
5/6
Step-by-step explanation:
6 faces on a dice
The square below has an area of x^2+10x+25 square meters. What expression represents the length of one side of the square?
Answer:
(x+5) m
Step-by-step explanation:
Given that,
The area of a square shape, [tex]x^2+10x+25[/tex]
We need to find the expression for the length of one side of the square.
The area of a square shaped object is given by :
[tex]s=x^2[/tex]
x is side of the square
[tex]s=\sqrt{A} \\\\s^2=x^2+10x+25\\\\=x^2+5x+5x+25\\\\=x(x+5)+5(x+5)\\\\=(x+5)^2\\\\s=(x+5)[/tex]
So, the sides of the square is (x+5) m.
Answer:
(x−5) ^2
Step-by-step explanation:
HELP HELP HELP!!!
i need help with math pls help me.
Answer:
I dont even know this myself o-o
Step-by-step explanation:
:D
On Monday, the coldest temperature outside was 2 degrees Fahrenheit. On Tuesday, Ms. Perkins tells her students that the coldest temperature outside has an absolute value of 4 degrees.
Rachel says that Tuesday’s coldest temperature could be greater than Monday’s coldest temperature.
Tom says that Tuesday’s coldest temperature could be less than Monday’s coldest temperature.
State whether each student’s statement is true or false, and justify your answers.
PLS I NEED THIS ITS ALL MY POINTS DONT TROLL
ALSO EXPLAIN IT
Answer:
Temperature on Monday was 2 degrees Fahrenheit.
Temperature on Tuesday was absolute value of 4 degrees Fahrenheit.
Absolute value is always a positive number but the actual temperature could have been positive or negative 4 degrees.
| ± 4 | = 4If it was positive, then Rachel is correct, but if negative, then Tom is correct.
Question 3 of 25
Find f(-3) for f(x) = 4(2)^x
Please answer this as fast as you can need it for today
Answer: [tex]f(-3)=\dfrac12[/tex]
Step-by-step explanation:
Given: [tex]f(x)=4(2)^x[/tex], which is an exponential growth function.
To evaluate: f(-3)
Substitute x=-3 in the given function, we get
[tex]f(-3)=4(2)^{-3}\\\\=4(\dfrac{1}{2})^3\ [a^{-n}=\dfrac1{a^n}]\\\\=4\times\dfrac1{2^3}\\\\=4\times\dfrac18\\\\=\dfrac12[/tex]
Therefore, the value of [tex]f(-3)=\dfrac12[/tex].
factorize -pq -pr +mq +mr
Answer:
(q + r) (m - p)
Explanation:
-pq - pr + mq + mrFactor out common term 'p'= -p(q + r) + mq + mr
Factor out common term 'm'= -p(q + r) + m(q + r)
Factor out common term '(q + r)'= (q + r) (-p + m)
(q + r) (m - p)- PNW
F(1)=10,f(n-1)-1.5 for n>2
Find the 5 first terms of sequence
Answer:
hdhdb
Step-by-step explanation:
Is (-4,-6) a solution?
2x + 3y <-9
x - 2y 2 - 4
(-4, -6)
i don't know
Step-by-step explanation:
how do you do this problem
Answer:
x=24
Step-by-step explanation:
subtract from both sides
Answer:
x=24
Step-by-step explanation:
1/3x+2=2/3x-6
2=1/3x-6
8=1/3x
x=24
oim pretty sure i did it right but im t the best at fractions tho but...
Select all that apply.
A direct variation equation is graphed. The point (6, 4) is on the graph. Which of the following points are also on the
graph of the equation?
(3,2)
(-9,-6)
(-12,8)
(-6,-3)
It is everyone of those except for (-6, 3).
Step-by-step explanation:
4 / 6 = 2/3
2/3 x -9 = -6
2/3 x -12 = -8
2/3 x 3 = 2
2/3 x -6 = -4
Write the prime factorization of 9. Use Exponents when appropriate and order the factors from least to greatest
Answer:
2235
Step-by-step explanation:
Write the prime factorization of 9. Use exponents when appropriate and order the factors from least to greatest
find the value of b
need help
Answer:
b=35
Step-by-step explanation:
Diagonals of a parallelogram always bisect each other, splitting it into two equal sections.
This means, b-8 is equal to 2b-43
b-8 = 2b-43
b+35=2b
b=35
Let me know if this helps!