How can unit rates and proportional reasoning be used to solve problems?
y varies directly with x, and y=24 when x=-15. what is x when y=16? a) 10 b) -22.5 c) -10 d) -25.6
Answer:
c
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 24 when x = - 15, then
24 = - 15k ( divide both sides by - 15 )
k = [tex]\frac{24}{-15}[/tex] = - [tex]\frac{8}{5}[/tex] = - 1.6 , thus
y = - 1.6x ← equation of variation
When y = 16, then
16 = - 1.6x ( divide both sides by - 1.6 )
x = - 10 → c
Write the expression using a positive exponent 8^-5
Answer:
1/8^5 is the simplified answer
Step-by-step explanation:
bill dupp lumber yard charges $2.80 for each cubic foot of sand delivered,plus $50 to deliver the sand. is this function continuous or discrete?
Answer:
2.80×50
Step-by-step explanation:
2.80×50 step by step
Find the area of the circle given the radius. Round to the
nearest hundredth when necessary.
r = 16.5 in
Name the x-intercept
Answer:
There are no x-intercepts
Step-by-step explanation: This is because the parabola does not pass through the x-axis at all.
Answer:
no x intercept
Step-by-step explanation:
The x intercept is the value where it crosses the x axis.
This functions does not cross the x axis
There is no x intercept
stadium already has 250 people in it at noon.If 35 people per minute enter the stadium,how many are in the stadium at 1:30 p.m. when a concert is supposed to begin?
Answer:
3,400 people
Step-by-step explanation:
First, find how many minutes are between noon and 1:30 pm
This is an hour and 30 minutes, so it will be 90 minutes
Then, multiply 90 by 35, since 35 people enter per minute
90(35)
= 3150
Then, add the 250 people that were already in it
3150 + 250
= 3400
So, there will be 3,400 people in the stadium
Answer:
3400
Step-by-step explanation:
250+35m=noon
Write the equation of the line that passes through the given points (-6, 0) and (0, 3)
Answer:
Step-by-step explanation:
Put (-6,0) and (0,3) into a table of values
form of the equation: mx+b
x -6 0
y 0 3
3/-6=-0.5 (m)
3=b (the value of y when x=0)
equation: y=0.5x+3
I NEED HELP ASAP 40 POINTS
Answer the following questions.
1) Choose the correct name for the set of numbers.
{..., – 3, -2, - 1,0, 1, 2, 3, ...}
whole numbers
integers
rational numbers
natural numbers
real numbers
irrational numbers
Answer:
integers
they include all whole numbers and their negative counterpart
Answer:
Step-by-step explanation:
the correct name for the set of numbers is integers numbers.
the discriminant of the equation 7√3x²+10x-√3 is...... plzz i need it fast
Step-by-step explanation:
Hey there!
Here,
The equation is:
[tex]7 \sqrt{3 \: } {x}^{2} + 10x - \sqrt{3 } = 0[/tex]
Comparing the equation with ax^2+bx+c=0. We get;
[tex]a = 7 \sqrt{3} [/tex]
[tex]b = 10[/tex]
[tex]c = \sqrt{3} [/tex]
Now,
Discriminant= ?
We have,
[tex]discriminant = {b}^{2} - 4ac[/tex]
Put all values.
[tex]discriminant = {10}^{2} - 4 \times 7 \sqrt{3} \times \sqrt{3} [/tex]
[tex]discriminant = 100 - 4 \times7 \times 3[/tex]
[tex]discriminant = 100 - 84[/tex]
Therefore the discriminant = 16.
Hope it helps...
If -2 and 3 are zeroes of quadratic polynomial xsquare + (a+1)x+b then find the value of and b
Answer:
a = - 2, b = - 6
Step-by-step explanation:
Substitute the values of the zeros into the polynomial and equate to zero.
x² +(a + 1)x + b
x = - 2 → (- 2)² - 2(a + 1) + b = 0 , that is
4 - 2a - 2 + b = 0
2 - 2a + b = 0 ( subtract 2 from both sides )
- 2a + b = - 2 → (1)
x = 3 → 3² + 3(a + 1) + b = 0, that is
9 + 3a + 3 + b = 0
12 + 3a + b = 0 ( subtract 12 from both sides )
3a + b = - 12 → (2)
Subtract (1) from (2) term by term to eliminate b
5a = - 10 ( divide both sides by 5 )
a = - 2
Substitute a = - 2 into either of the 2 equations and evaluate for b
Substituting into (2)
3(- 2) + b = - 12
- 6 + b = - 12 ( add 6 to both sides )
b = - 6
Thus a = - 2 and b = - 6
5. If x^1/2 =8, what is the value of x?
HELP PLEASE
what is the slope of the function
Answer:
1/2 probably
Step-by-step explanation:
train can travel 1136 miles in 4 hours. What is the unit rate that this train is traveling per hour
Answer:
4544
Step-by-step explanation:
1136 *4 = 4544
PLEASE HELP I WILL MARK YOU BRAINLIEST.
Answer:576cm
Step-by-step explanation:
Multiply length width
And height
Answer:
[tex] \boxed{ \bold{ { \boxed{ \sf{576 \: cubic \: centimeters}}}}}[/tex]
Step-by-step explanation:
Given,
Length of the rectangular prism ( l ) = 16 cm
Height of the rectangular prism ( h ) = 4 cm
Width of a rectangular prism ( w ) = 9 cm
Finding the volume of the rectangular prism. having length of 16 cm , width of 9 cm and height of 4 cm
[tex] \boxed{ \sf{volume \: of \: a \: rectangular \: prism = lwh}}[/tex]
[tex] \longrightarrow{ \sf{volume \: = 16 \times 9 \times 4}}[/tex]
[tex] \dashrightarrow{ \sf{576 \: {cm}^{3} }}[/tex]
Hope I helped!
Best regards! :D
6. Describe a pattern shown in this sequence, and use the pattern to find the next two terms.
7,15, 23, 31, 39, ?, ?, ...
Answer:
The pattern is that each time, 8 is added. The next 2 numbers are 47, 55.
Step-by-step explanation:
7+8=15
15+8=23
23+8=31
31+8=39
39+8=47
47+8=55
a vendor sells hot dogs and a bags of chips. A customer buys 2 hot fogs and 4 bags of potato chips for $10. another customer buts 3 hot dogs and 4 bags of potato chips for 12 dollars. what does each item cost?
Answer:
chips 1.50 cents hot dogs 2 dollars
Step-by-step explanation:
Hot do is 2 dollars because the same chips were put but 1 extra dog is 2 dollard and you divide from there and get 1.50 for chips
Find the first four terms of the sequence using the recursive formula.
Answer:
- 3, - 11, - 35, - 107
Step-by-step explanation:
Using the recursive formula with f(1) = - 3 , then
f(2) = - 2 + 3f(1) = - 2 + 3(- 3) = - 2 - 9 = - 11
f(3) = - 2 + 3f(2) = - 2 + 3(- 11) = - 2 - 33 = - 35
f(4) = - 2 + 3f(3) = - 2 + 3(- 35) = - 2 - 105 = - 107
Thus the first four terms are
- 3, - 11, - 35, - 107
Can someone help me ASAP pleaseee
Answer:
y = 8x - 26
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, - 2) and (x₂, y₂ ) = (4, 6)
m = [tex]\frac{6+2}{4-3}[/tex] = 8 , thus
y = 8x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 6) , then
6 = 32 + c ⇒ c = 6 - 32 = - 26
y = 8x - 26 ← equation of line
1. There are 4 quarters in 1 dollar.
a) Shades 1/2 of a dollar.
b) How many cents is 1/2 of a
dollar?
Which step is the most efficient way to find the solution of x + 4 > -8? Answer choices: A: Add 4 to both sides. B: Subtract 4 from both sides and switch the inequality symbol. C: Substitute 1 for x and see if it works. D: Subtract 4 from both sides.
Answer:
d
Step-by-step explanation:
The most efficient step to finding the solution to the given inequality is, to subtract 4 from both sides. Option D is correct.
Given that,
To determine which step is the most efficient way to find the solution of x + 4 > -8.
Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
here,
Given inequality,
x + 4 > -8
Subtract 4 from both sides,
x + 4 - 4 > - 8 - 4
x > -12
Thus, the most efficient step to finding the solution to the given inequality is, to subtract 4 from both sides. Option D is correct.
Learn more about inequality here:
brainly.com/question/14098842
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how much does it cost to buy 10 computer mice that cost 24.75 apiece?
How much does it cost to buy 10 computer mice (not the living thing :) ) that are $24.75 each.
10(24.75)=247.5
It will cost $247.5
It would be $247.50
Step-by-step explanation:
24.75 x 10
Convert to standard form: y = 5x + 20
Answer:
5x - y = -20
Hope this helps.
Can you please help me on 2,3,4, and 5? I will mark the brainliest plus 12 points for answering.
Answer:
2) Exact
3) Exact
4) Exact
5) Approximation
Step-by-step explanation:
Solve for k.
12/k = 3
Answer:
k=3/12
k=.25
Step-by-step explanation:
we need to get k by itself
because 12 is over k we need to get rid of it by moving it to the other side (multiplying) because it is 12/k we need to multiply it by 1/12
This eliminates 12 and leaves us with k=3/12
Which equation is equivalent to x + x - (-3) = 12?
A. x2 + 3 = 12
B. x2 – 3 = 12
C. 2x + 3 = 12
D. 2x – 3 = 12
Answer:
C.) 2x+3 = 12
Step-by-step explanation:
x+x=2x
2x-(-3) is 2x+3
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a box of cereal states that there are 72 calories in a 3/4 cup serving. What is the unit rate for calories per cup? how many calories are in a 2 cups of cereal
Answer:
96 and 192 calories
Step-by-step explanation:
Given
72 calories in a 3/4 cupDivide both by 3/4 to find the unit rate:
72:3/4 in 3/4:3/496 calories in 1 cupThen multiply both by 2 to get the calories for 2 cups:
96*2 = 192 caloriesWrite the slope-intercept form of the given line. Include your work in your final answer. Type your answer in the box provided to submit your solution.
Answer:
y = -3 ÷ 2x - 3
Step-by-step explanation:
As it can be seen that the line is passed by y-axis at -3.
Now we have to determine the slope
For this, use the following formula
= (x2 - x1) ÷ (y2 - y1)
At
(-2, 0), (0, -3)
So,
= (-3-0) ÷ (0+2)
= -3 ÷ 2
Now
Put in the following equation
y = mx + b.
where,
m = slope
b = y-intercept
So,
y = -3 ÷ 2x - 3
PLEASE HELP I WILL MARK YOU BRAINLIEST A rectangular prism’s base has an area of 40 cm. The prism’s height is 5cm. What is the volume of the prism?**
Answer:
200 cc
Step-by-step explanation:
Volume of the prism = Area of base * height
= 40*5
= 200 cubic cm
Poonam is five times as old as Shalini. The sum of their ages is 72
Answer:
Shalini = 12
Poonam = 60
Step-by-step explanation:
Let p = poonams age
Let s = shalini's age
p = 5s
p+s = 72
Substitute the first equation into the second equation
5s+s = 72
Combine like terms
6s= 72
Divide by 6
6s/6 = 72/6
s = 12
p = 5s =5*12 = 60
Shalini = 12
Poonam = 60