Answer:
B) Each friend gets 3, there are 4 left over
Step-by-step explanation:
Caden starts with 40 chips.
He takes 12 chips for himself.
40 - 12 = 28
He now has 28 chips left to divide evenly by 8.
28/8 = 3 remainder 4
Check: 3 × 8 = 24, and 24 + 4 = 28
Answer: B) Each friend gets 3, there are 4 left over
Olivia is growing roses and keeps track of how much fertilizer (in ounces) she adds to the soil and how many blooms each rose bush has. She finds a linear relationship that can be modeled by the equation y = 1. 345x 4. When will Olivia only have 4 blooms?.
Olivia only has 4 blooms when she adds no fertilizer.
What is the equation of a line?According to the conditions of the question, being x the ounces of fertilizer Olivia adds to the soil, and y the number of blooms each rose bush has, the relation between them.
Given
Olivia is growing roses and keeps track of how much fertilizer (in ounces) she adds to the soil and how many blooms each rose bush has.
She finds a linear relationship that can be modeled by the equation y = 1. 345x + 4.
The equation of the line is;
[tex]\rm y=1.345x+4\\\\[/tex]
It's bee required to compute the value of x such that the roses have 4 blooms, thus
[tex]\rm 1.345x+4=4\\\\ 1.345x=4-4\\\\1.345x=0\\\\ x=0[/tex]
Hence, Olivia only has 4 blooms when she adds no fertilizer.
To know more about the equation of line click the link given below.
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WHat is the best method for this system?
Answer:
Elimination method
Step-by-step explanation:
We have a choice to eliminate the y or x:
I chose x
So now we double the second equation to make the co efficient of x the same:
6x-5y = -3
6x+4y = 24
Now we subtract both equations to eliminate the x's:
6x-5y = -3
- - -
6x+4y = 24
-9y = -27
y = 3
Now we substitute this value into either equation 1 or 2:
I chose 2
3x + 2(3) =12
Simplify:
3x + 6 =12
Subtract 6 from both sides:
3x + 6 -6 = 12 -6
Simplify:
3x = 6
Divide both sides by 3:
3x÷3 = 6÷3
Simplify:
x = 2
Answer:
(2, 3 ) by the elimination method
Step-by-step explanation:
6x - 5y = - 3 → (1)
3x + 2y = 12 → (2)
multiplying (2) by - 2 and adding to (1) will eliminate x
- 6x - 4y = - 24 → (3)
add (1) and (3) term by term to eliminate x
0 - 9y = - 27
- 9y = - 27 ( divide both sides by - 9 )
y = 3
substitute y = 3 into either of the 2 equations and solve for x
substituting into (2)
3x + 2(3) = 12
3x + 6 = 12 ( subtract 6 from both sides )
3x = 6 ( divide both sides by 3 )
x = 2
solution is (2, 3 )
*BONUS* Using this new equation, what is the new maximum height of the ball and how long did it take to hit the ground? Round to the nearest whole number and remember to include units.
The new maximum height of the ball is; 78m
The time taken to hit the ground is; 6seconds
Evaluation of functionsThe given function is;
h(t) = -4.9t² +19.8t + 58.The time at which the height is maximum according to the graph is; t = 2.
Hence, upon substitution the value of the maximum height according to the graph of the function is;
h(2) = 78mThe time taken to hit the ground according to the graph is; 6 seconds
Read more on functions and graphs;
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Tumbleweed, commonly found in the western United States, is the dried structure of certain plants that are blown by the wind. Kochia, a type of plant that turns into tumbleweed at the end of the summer, is a problem for farmers because it takes nutrients away from soil that would otherwise go to more beneficial plants. Scientists are concerned that kochia plants are becoming resistant to the most commonly used herbicide, glyphosate. In 2014, 19. 7 percent of 61 randomly selected kochia plants were resistant to glyphosate. In 2017, 38. 5 percent of 52 randomly selected kochia plants were resistant to glyphosate. You will conduct a significance test to determine if the data provides convincing statistical evidence, at the level of a = 0. 05, that there has been an increase in the proportion of all kochia plants that are resistant to glyphosate?
Using the z-distribution, as we are working with a proportion, it is found that since the test statistic is less than the critical value for the right-tailed test, there is not enough evidence to conclude that there has been an increase in the proportion of all kochia plants that are resistant to glyphosate.
In this problem, we consider that:
[tex]p_1[/tex] is the proportion in 2014.[tex]p_2[/tex] is the proportion is 2017.What are the hypothesis tested?At the null hypothesis, we test if there has been no increase, that is, the subtraction is of 0.
[tex]H_0: p_2 - p_1 = 0[/tex]
At the alternative hypothesis, we test if there has been an increase, hence:
[tex]H_1: p_2 - p_1 \neq 0[/tex].
What is the distribution of the difference of sample proportions?The proportions and standard errors are given by:
[tex]p_1 = 0.197, s_1 = \sqrt{\frac{0.197(0.803)}{61}} = 0.0509[/tex]
[tex]p_2 = 0.385, s_2 = \sqrt{\frac{0.385(0.615)}{52}} = 0.0675[/tex]
Hence, the distribution has mean and standard error given by:
[tex]\overline{p} = p_2 - p_1 = 0.0675 - 0.0509 = 0.0166[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0509^2 + 0.0675^2} = 0.0845[/tex]
What is the test statistic?It is given by:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
In which p = 0 is the value tested at the null hypothesis, hence:
[tex]z = \frac{0.0166}{0.0845}[/tex]
[tex]z = 0.2[/tex]
What is the decision?Considering a right-tailed test, as we are testing if the proportion is greater than a value, with a significance level of 0.05, the critical value is of [tex]z^{\ast} = 1.645[/tex]
Since the test statistic is less than the critical value for the right-tailed test, there is not enough evidence to conclude that there has been an increase in the proportion of all kochia plants that are resistant to glyphosate.
More can be learned about the z-distribution at https://brainly.com/question/26454209
The Juice Cafe posted the sign below showing the prices of smoothies of various sizes.
Which change would make the price of smoothies a function of the size?
Explain
Please Help, i’m struggling
A. change the smoothie prices so that each interval between prices is $0.50
B. change the first 12-ounce smoothie to a 10-ounce smoothie so that each smoothie size has only one price
C. change the price of the 22-ounce smoothie to $4.29 so that each price is assigned to only one smoothie size
D. change the 22-ounce smoothie to a 24-ounce smoothie so that each interval between smoothie sizes is 4 ounces
Answer:
A
Step-by-step explanation:
Changing the interval should help because im pretty sure it would make the prices cheaper
I hope this is correct if not Im really sorry
The largest 5-digit number minus the smallest 4-digit number is equal to …
[tex]Answer:[/tex]
4999999999999999+e 313
The number is technically infinite, but since it's the largest multiple of 5, we can't make it infinite. So in this case, use the line method to represent the instance that it will go on, and on, and on.
The last number will end in 6, because any multidigit number with all 0's after the number, minus 4, is that number followed by 6 in the ones place.
4. Which equation is in standard form and represents a line with slope 5 through the point (0, 2)?
y=5x+2
Step-by-step explanation:
your gradient/slope(m)=5
the line passes through points(0,2)
this gives us the intercept on y-axis(c)=2
therefore using the eqn;y=mx+c
y=5x+2
The mean of 6 numbers is 34.Calculate the sum of the numbers
Answer:
mean = fx/n
34= fx/6
34×6 = fx
fx = 204
sum= 204
M = f/x. (M=mean ,f=sum of no. ,
x = total no.)
36 = f/6
f=36×6
f = 216Please mark my answer the brainliest and rate me 5 star and follow me.please please please please please please
when joe got out of bed, it was 58° in his room. He turned on the heater, and the temperature warmed up to 67° in five minutes. How many degrees per minute did the temperature rise?
Answer:
it raised by 9 so.. look below
Step-by-step explanation:
it took 5 minutes to raise 9 degrees so all you do is you do 9/5
9/5 is 1.8
It raised 1.8 degrees per minute
You found the prime factorization of the number 72.
[tex]72 = 2^{3} x 3^{2}[/tex]
(8 x 9 = 72)
Which set of fractions is equal? 1/2=6/14 1/3=3/6 3/4=6/8 1/6=3/12
Answer:
3/4=6/8
Step-by-step explanation:
This is equal because 3/4 + 3/4 = 6/8. So this is your answer.
Hope this helped! :) Have a good day!!
Answer:
[tex] \frac{3}{4} = \frac{6}{8} [/tex]
Explanation:
divide the second fraction by 2 -> 6÷2/8÷2 -> 3/4
5(y + ⅖) = -13 May i pleas get help
Answer:
y = -3
Step-by-step explanation:
You want the solution to the equation 5(y +2/5) = -13.
SolutionThis is a 2-step equation.
Step 1, divide by 5:
y +2/5 = -13/5
Step 2, subtract 2/5
y = -13/5 -2/5 = -15/5
y = -3
Answer: y = -3
Step-by-step explanation:
[tex]\boldsymbol{\sf{Exercise\:solution \longmapsto \ 5\left(y+\dfrac{2}{5}\right)=-13 }}[/tex]
We multiply each term between kinship by 5.
[tex]\boldsymbol{\sf{5y+5\times\dfrac{2}{5}=-13 }}[/tex]
We calculate the product of rational numbers.
[tex]\boldsymbol{\sf{5y+2=-13 }}[/tex]
The constant moves to the right side and the sign is changed.
[tex]\boldsymbol{\sf{5y=-13-2 }}[/tex]
We find the sum of two negative numbers.
[tex]\boldsymbol{\sf{5y=-15 }}[/tex]
We divide both sides by the same number.
[tex]\boldsymbol{\sf{5y=-15 \ It \ changes \ y=\dfrac{-5}{5} =-3} }\\\\\ \ \ \ \ \ \ \ \boxed{\boldsymbol{\sf{y=-3 }}}\boldsymbol{\sf{ \ \longmapsto \ Answer}}[/tex]
Help pls help
It’s a grade
The first option is correct.
You could do all the math to compare the final answers, but I looked at the part where you add. Using a standard algorithm, when going on to the next digit in the second number, you always add a 0 first. The rest of those options don't include a 0.
WILL NAME WHOEVER ANSWERS AS BRAINLIEST PLS HELP ASAP
Let $f(x) = x^4-3x^2 + 2$ and $g(x) = 2x^4 - 6x^2 + 2x -1$. Let $a$ be a constant. What is the largest possible degree of $f(x) + a\cdot g(x)$?
Answer:
The largest smallest degree of f(x) + a*g(x) is 1.
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Help plssss i beggg
Solve for brainiest
4/x+2 + 8/x+5 - 8/x+3 - 4/x+6
Answer:
i think it will be like take all of from lcm x then
takke - to opent the answer will be =-4
A recipe uses 2 cups of milk to make 10 servings. If the same amount of milk is used
for each serving, how many servings can be made from three gallons?
Answer:
Correct answer (96)
Step-by-step explanation:
Answer: 240 servings
Step-by-step explanation:
If 2 cups of milk can make 10 servings, that means each cup of milk can make 5 servings.
3 gallons = 48 cups (there are 16 cups in 1 gallon)
Therefore, 3 gallons can make 48*5 servings
= 240 servings
8 to 11 do it with equations thx
Answer:
Step-by-step explanation:
8. [tex]4\geq x+\frac{3}{4}[/tex]
[tex]4(4\geq x+\frac{3}{4} )[/tex]
[tex]16\geq 4x + 3[/tex]
[tex]-3[/tex] [tex]-3[/tex]
[tex]13\geq 4x[/tex]
[tex]\frac{13}{4}\geq \frac{4x}{4}[/tex]
[tex]\frac{13}{4} \geq x = x\leq \frac{13}{4}[/tex]
[tex]x\leq \frac{13}{4}=3.25[/tex]
9. [tex]x-3\leq -8[/tex]
[tex]+3[/tex] [tex]+3[/tex]
[tex]x\leq -5}[/tex]
10. [tex]4\leq x-7[/tex]
[tex]+7[/tex] [tex]+7[/tex]
[tex]11\leq x=x\geq 11[/tex]
11. 6.9 < x - 2.3
+ 2.3 + 2.3
9.2 < x = x > 9.2
Hope this helps!
A machine part is a 4-in. -square piece of metal plate with a round hole 2 in.
in diameter drilled through the center. What is the equation of the circle given
that the piece of metal is placed in Quadrant 1 with its corner at the origin?
The round hole in the square machine part is an inscribed circle
The equation of the circle is [tex](x - 2)^2 + (y - 2)^2 = 1[/tex]
How to determine the equation of the circleThe corner of the square machine part is said to be at the origin.
This means that, the coordinates of the machine parts are:
(x,y) = (0,0), (4,0), (4,4) and (0,4)
Calculate the midpoint of the diagonals, to determine the midpoint of the circle.
(x,y) = 0.5 * (0 + 4, 4 + 0)
This gives
(x,y) = (2,2)
The diameter of the circle is:
d = 2 inches
Divide by 2 to calculate the radius
r = 1 inch
The equation of a circle is represented as:
[tex](x - a)^2 + (y - b)^2 = r^2[/tex]
Where:
Center = (x,y) = (a,b) = (2,2)
So, we have:
[tex](x - 2)^2 + (y - 2)^2 = 1^2[/tex]
Evaluate the square of 1
[tex](x - 2)^2 + (y - 2)^2 = 1[/tex]
Hence, the equation of the circle is [tex](x - 2)^2 + (y - 2)^2 = 1[/tex]
Read more about circle equations at:
https://brainly.com/question/1559324
Simplify, the fraction 25/35
Answer:
5/7
Step-by-step explanation:
Hi, so the question is simplify 25/35. each fraction can be divided by five.
So each will be divided by five. So, first the numerator which is the top of the fraction. 25/5=5 so the new simplified top is 5.
The denominator, the bottom fraction, 35/5= 7, so the new simplified denominator is 7.
Refix the fraction and you have that 25/35 = 5/7
Answer:
5/7
Step-by-step explanation:
Say you got a 25 out of 35 questions right on a test you got 5/7 of them correct and get a 71.43% right.
Or think of it like 7 can go into 35 a total of 5 times and 5 can also go into 25 5 times.
Hope this helps have a great day:)
Will someone help me with this pleaseeee
Answer:
Based on the number of terms in the given polynomial, what is it called?
x² - 2
A. binomial
Find the degree measure of the arc of a sector with area 36π if the area of the circle is 144π.
SHOW WORK PLEASE
The degree measure of the arc is the central angle of the circle
The degree measure of the arc is 90 degrees
How to calculate the degree measure of the arcThe area (a) of the sector is 36π and the area (A) of the circle is 144π.
The area of a sector is calculated as:
[tex]a = \frac{\theta}{360} * A[/tex]
So, we have:
[tex]36\pi = \frac{\theta}{360} * 144\pi[/tex]
Divide both sides by [tex]36\pi[/tex]
[tex]1 = \frac{\theta}{360} * 4[/tex]
Evaluate the product
[tex]1 = \frac{\theta}{90}[/tex]
Solve for [tex]\theta[/tex]
[tex]\theta = 90[/tex]
Hence, the degree measure of the arc is 90 degrees
Read more about sectors and circles at:
https://brainly.com/question/16736105
Giving brainlyist to the first person with a complete and correct answer
Answer:
25 tubs can be filled.
Step-by-step explanation:
96 goes into 2,400, 20 times so write a 2
2,400 - 1,920 from 96 x 20 = 480
96 goes into 480, 5 times so write 5
480 - 480 is 0
therefore,
the answer is 25 R 0
Do number 7 pleaseeee
Explanation:
Let's say 5 people get a lunch platter. The cost would be 7*5 = 35 dollars.
Or if 3 people got the lunch platter, then it would be 7*3 = 21 dollars
In general, the cost is 7p dollars where p is a placeholder for a whole number. So that's how we end up with c = 7p
If it is one platter per person, the following will be true,
Answer:
c = 7p
Step-by-step explanation:
This is because every time someone buys a platter, it adds $7 to the total cost
-> If two people buy a platter, it is 7 + 7, aka 7 *2
-> If three, it is 7 + 7 + 7 aka 7 * 3
Using this pattern, we can see that the total cost will be 7 times the number of people there.
We can put this into an equation by doing:
c = 7p
In order to join a dance class, there is a 30$ dollar fee and a 4$ monthly fee. Write an equation that represents y, the total cost paid for x, number of months
Answer:
30+4x=y
or 30 + 4 times the amount of months equals the total cost
Answer:
y=4x+30
Step-by-step explanation:
Hope this helps!
if not I'm sorry.
what is the answer for : 3y-y
Answer:
Simplify 3y-y
2y
solution:2y
Step-by-step explanation:
Answer:
2y
Step-by-step explanation
you has to subtract the number by the y
solve the following inequality
Answer:
6 < u < 8
Step-by-step explanation:
10 > 5u/4 > 15/2
To solve this, we need to isolate the variable u
10(4) > 5u/4(4) > 15/2(4)
40 > 5u > 30
40/5 > 5u/5 > 30/5
8 > u > 6
It probably wants you to write it in order so,
6 < u < 8
Your welcome, and if you have any questions, feel free to comment! :D
[tex]\\ \rm\hookrightarrow 10>5u/4>15/2[/tex]
Multiply by 5[tex]\\ \rm\hookrightarrow 40>5u>30[/tex]
Divide 5
[tex]\\ \rm\hookrightarrow 8>u>6[/tex]
State the value of "c" such that the following polynomial is a perfect square trinomial.
x^2 - 14x + c
If you could show your work that would be great!
Answer:
Consider the quadratic equation
x
2
+
4
x
+
4
=
0
, which, on the left side, is also a perfect square trinomial. Factoring to solve:
⇒
(
x
+
2
)
(
x
+
2
)
=
0
⇒
x
=
−
2
and
−
2
Two identical solutions! Recall that the solutions of a quadratic equation are the x intercepts on the corresponding quadratic function.
So, the solutions to the equation
x
2
+
5
x
+
6
=
0
, for example, will be the x intercepts on the graph of
y
=
x
2
+
5
x
+
6
.
Similarly, the solutions to the equation
x
2
+
4
x
+
4
=
0
will be the x intercepts on the graph of
y
=
x
2
+
4
x
+
4
.
Since there is really only one solution to
x
2
+
4
x
+
4
=
0
, the vertex of the function
y
=
x
2
+
4
x
+
4
lies on the x axis.
Now, think of the discriminant of a quadratic equation. If you don't have previous experience with it, don't fret.
We use the discriminant,
b
2
−
4
a
c
, to verify how many solutions, and the solution type, a quadratic equation of the form
a
x
2
+
b
x
+
c
=
0
may have without solving the equation.
When the discriminant equals less than
0
, the equation will have no solution. When the discriminant equals exactly zero, the equation will have exactly one solution. When the discriminant equals any number more than zero, there will be exactly two solutions. If the number in question that you get as a result is a perfect square in the latter case, the equation will have two rational solutions. If not, it will have two irrational solutions.
I've already shown that when you have a perfect square trinomial, you will have two identical solutions, which is equal to one solution. Hence, we can set the discriminant to
0
and solve for
c
.
Where
a
=
1
,
b
=
14
and
c
=
?
:
b
2
−
4
a
c
=
0
14
2
−
4
×
1
×
c
=
0
196
−
4
c
=
0
4
c
=
196
c
=
49
Thus, the perfect square trinomial with
a
=
1
and
b
=
14
is
x
2
+
14
x
+
49
. We can verify this by factoring.
x
2
+
14
x
+
49
=
(
x
+
7
)
(
x
+
7
)
=
(
x
+
7
)
2
Practice exercises:
Using the discriminant, determine the values of
a
,
b
,
or
c
that render the trinomials perfect squares.
a)
a
x
2
−
12
x
+
4
b)
25
x
2
+
b
x
+
64
c)
49
x
2
+
14
x
+
c
Step-by-step explanation:
2nd question! BRAINLIEST and high points :D
Answer:
C
Step-by-step explanation:
One side is 60 so the other side is 60
X=20
4(20)-20=60
60=(4(20)-20)
60=80-20
60=60
kinda got a bit dum
will has $79,908 in a savings account that earns 13% interest per year. to the nearest cent , how much interest will he earn in 1 year?
Answer:
10388.04
Step-by-step explanation:
I used a calculator.. But nearest if its nearest cent it might be just 10388.