Answer:
distributive proper
Step-by-step explanation:
mulitiply
A barrel of oil was filled at a constant rate of 6.2gal/min. The barrel had 9 gallons before filling began. Enter an equation in standard form.
Answer:
9 + 6.2x = y
Step-by-step explanation:
x - Gallons per minute
y - Total gallons
So, your answer would be:
9 + 6.2x = y
Could also be written as:
y = 9 + 6.2x
Hope this helps :)
3x-8y=-2 and 14x+8y=36
Answer:
X=2
Y=1
Step-by-step explanation:
........... Solution on the photo above
WILL GIVE BRAINLIEST!!!
Ignore the "$".
Jenny's grandmother has $24$ cats. Seventeen of the cats do not catch mice. Ten of the cats have black fur. What is the smallest possible number of cats that do not catch mice that have black fur?
Answer:
Note that 24 - 10 = 14 don't have black fur
And suppose that these 14 are part of the 17 that don't catch mice
Then.....3 that catch mice must also have black fur....and this is the smallest number that do not catch mice but have black fur
can someone help ill give brainliest
Answer:
a=55%
b=190%
c=54 pounds
Step-by-step explanation:
ok
a.
33/60=0.55
55%
b.
114/60=1.9
or 190%
c
60/100=0.6
0.6=1 percent
54
Answer:
a=55%
b=190%
c=54 pounds
Step-by-step explanation:
In the figure below, lines p and s are parallel.
Answer:
c
Step-by-step explanation:
i used a calculator (they never lie)
Answer:
22
Step-by-step explanation:
60+6x-12= 180
6x = 180 -48
x= 132/6= 22
Solve the inequality for x.
–3x + 6 –3
D) x > –7
khloe and her children went into a movie theater where they sell bags of popcorn for $7 each and candies for $4 each. khope has $60 and must buy no less than 11 bags of popcorn and candies altogether. if x represents the number of bags of popcorn purchased and y represents the number of candies pruchased, write and solve a system of inequalities and determine one possible solution
both inequalities must start with y
Answer: Khloe could buy 3 bags of popcorn and 9 candies.
Step-by-step explanation:
\underline{\text{Variable Definitions:}}
Variable Definitions:
x=
x=
\,\,\text{the number of bags of popcorn}
the number of bags of popcorn
y=
y=
\,\,\text{the number of candies}
the number of candies
\text{\textquotedblleft no less than 11 items"}\rightarrow \text{11 or more items}
“no less than 11 items"→11 or more items
Use a \ge≥ symbol
Therefore the total number of bags of popcorn and candies, x+yx+y, must be greater than or equal to 11:11:
x+y\ge 11
x+y≥11
\text{\textquotedblleft \$60 to spend"}\rightarrow \text{can spend \$60 or less}
“$60 to spend"→can spend $60 or less
Use a \le≤ symbol
One bag of popcorn costs $7, so xx bags of popcorn cost 7x.7x. One candy costs $4, so yy candies cost 4y.4y. The total 7x+4y7x+4y must be less than or equal to \$60:$60:
7x+4y\le 60
7x+4y≤60
\text{Solve each inequality for }y\text{:}
Solve each inequality for y:
\begin{aligned}x+y\ge 11\hspace{30px}& 7x+4y\le 60 \\[0.8em] y\ge 11-x \hspace{30px}& 4y\le 60-7x \\[0.8em] \hspace{30px}& y\le \frac{60-7x}{4} \\[0.8em] & y\le 15-\frac{7}{4}x\end{aligned}
x+y≥11
y≥11−x
7x+4y≤60
4y≤60−7x
y≤
4
60−7x
y≤15−
4
7
x
Graph y\ge 11-xy≥11−x by shading up and graph y\le 15-\frac{7}{4}xy≤15−
4
7
x by shading down:
0
the number of bags of popcorn
the number of candies
x
y
0
the number of bags of popcorn
the number of candies
(3, 9)
Since the point (3, 9(3,9) is inside the double shaded region, one possible solution to the system of inequalities would be:
Khloe could buy 3 bags of popcorn and 9 candies.
The system of inequalities are x + y ≥ 11 and 7x + 4y ≤ 60 and the solution is given by the point P ( 3 , 9 ) where x represents the number of bags of popcorn purchased and y represents the number of candies purchased
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let x represents the number of bags of popcorn purchased and y represents the number of candies purchased
Now , the total number of bags should be no less than 11
And , the inequality is
x + y ≥ 11 be equation (1)
And , cost of each popcorn bag = $ 7
So , the cost of x bags = 7x
And , cost of each candy bag = $ 4
So , the cost of y bags = 4y
The total amount with Khloe = $ 60
And , the inequality is
7x + 4y ≤ 60 be equation (2)
On graphing the inequalities , we can see that the point P ( 3 , 9 ) lies inside the solution
So , 7 ( 3 ) + 4 ( 9 ) ≤ 60
21 + 36 ≤ 60
57 ≤ 60
And , 3 + 9 ≥ 11
12 ≥ 11
Hence , the system of inequalities are solved and the graph is plotted
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The length of a beige is 500 miles if 1 inch represent 25 miles what is the length of the bridge ?
Answer:
20 inch
Step-by-step explanation:
500 divided by 25 is 20.
Please someone solve this
Answer:
a)
(4a - 3b + 4) + (a + 3b - 1) =
4a - 3b + 4 + a + 3b - 1 =
5a + 3
b)
(2x^2 - 3x - 3) + (-x^2 - 6x + 8) =
2x^2 - 3x - 3 - x^2 - 6x + 8 =
x^2 - 9x + 5
c)
(3m^2 + 5m - 6) + (-m^2 - 4n + 5) =
3m^2 + 5m - 6 - m^2 - 4n + 5 =
m^2 + 5m - 4n -1
d)
(4x^3 - 3xy^2) + (x^3 - 5xy^2 - 5y^2) =
4x^3 - 3xy^2 + x^3 - 5xy^2 - 5y^2 =
7x^3 - 8xy^2 - 5y^2
e)
(5m + 2lm) + (l^2 - 3m^2 - 2lm) =
5m + 2lm + l^2 - 3m^2 - 2lm =
5m + l^2 - 3m^2
6. match each equation with the correct number of solutions *
no solution
infinitely many solutions
one solution
Equations:
4(3x+2) = 4(2x+3)+4x
10(x+4)-3 = 14x+1
Answer:
x^4-3x^3-14x^2+12x+40 =0
Step-by-step explanation:
The graphs below have the same shapes what is the equation of the blue graph
What is the slope of the line represented by the equation Y=4/5x-3?
4/3 in a mixed numbers
Answer:
the answer is
[tex]1 \frac{1}{3} [/tex]
A group of 59 randomly selected students have a mean score of 29.5 with a standard deviation of 5.2 on a placement test. What is the 90% confidence interval for the mean score, , of all students taking the test?
Answer:
29.5+/-1.11
= ( 28.39, 30.61)
Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 29.5
Standard deviation r = 5.2
Number of samples n = 59
Confidence interval = 90%
z-value (at 90% confidence) = 1.645
Substituting the values we have;
29.5+/-1.645(5.2/√59)
29.5+/-1.645(0.676982337100)
29.5+/-1.113635944529
29.5+/-1.11
= ( 28.39, 30.61)
Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)
What is the midpoint of KL¯¯¯¯¯¯
Answer:
I think that it would be -4.5
Step-by-step explanation:
Have a great day!
Answer:
-4.5
Step-by-step explanation:
yeahhhhhhh
Triangles A B C, D E F, G H I, and J K L are shown. Angles A C B, D F E, H I G, and K L J are right angles. The length of side A C is 14 and the length of side C B is 20. The length of side E F is 8 and the length of F E is 10. The length of H I is 15 and the length of I G is 12. The length of K L is 10 and the length of L J is 7. The lengths of the hypotenuses are not given. Which pairs of triangles are similar? Check all that apply. △ABC ~ △DEF △DEF ~ △GHI △GHI ~ △ABC △GHI ~ △JKL △JKL ~ △ABC
Answer:
B) △DEF ~ △GHI
E) △JKL ~ △ABC
Step-by-step explanation:
i just did the assignment
The pairs of triangles are similar
△DEF ~ △GHI and △JKL ~ △ABC.
What is similarity ?If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. Similar figures are described as items with the same shape but varying sizes, such as two or more figures.
Given:
AC = 14
BC = 20
DF = 8
FE= 10
HI = 15
IG = 12
KL = 10
LJ = 7
As, In Right Triangle we can use Pythagoras theorem
AB = √14²+ 20² = 24.41
DE= √8²+10²= 12.8
HG= √15²+ 12² = 19.2
KJ= √10² + 7² = 12.2
Then, from the ratio of Corresponding sides we get
△DEF ~ △GHI and △JKL ~ △ABC.
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Identify the x- and y-intercepts.
Answer:
y = (0,4)
x=(6,0)
(6,4)
Step-by-step explanation:
Someone help please!!!
Answer:
y intercept = -5
slope= 4
equation: y = 4x - 5
EXPLANATION:
FIRST, you must write the formula for a linear graph , which is y = m(x) + c
where y is any y component and x is it's corresponding x component , m is the gradient or slope and c is the constant or y intercept.
SOLUTION:
y = mx + c
finding the gradient (m)
m = y2 - y1
x2 - x1
=( (-1)-(-5) ) ÷ (1-0)
= -1+5 ÷ 1
= 4
Therefore, the slope is 4
finding the y intercept.
y = 4x + c
in the above equation, I substituted the value I had for the slope or the gradient or m.
SO NOW IM ABOUT TO FIND C
TO FIND C, YOU MUST FIRST PICK A CORRESPONDING Y AND X COMPONENT.
I CHOOSE MY Y = 3 and X = 2
Now I'm going to substitute those values into the formula.
(3) = 4(2) + C
since it's an equation with one variable, no need for simultaneous equations.
3 = 8 + c
3-8 = c
-5 = c
SO THATS HOW WE ARRIVED AT -5 AND 4.
WITH THAT, the equation of the line is y = 4x - 5.
I HOPE IT WAS HELPFUL.
There are 4 red apples and 3 green apples. How many red and green apples are there?
Answer:
7
Step-by-step explanation:
Just add them together...
While doing an article on the high cost of college education, a reporter took a random sample of the cost of new textbooks for a semester. Her sample consisted of 20 students with a mean of $212.45 and a standard deviation of $38.92. A. Find the 99% confidence interval estimate of the true mean textbook cost for the semester based on her sample. Assume the cost of new textbooks is normally distributed.B. Based on part a, is an average cost of $200 for a semester a likely value for the population mean? Why or why not?
Answer:
The answer is below
Step-by-step explanation:
Given that:
mean (μ) = $212.45, standard deviation (σ) = $38.92 and sample size (n) = 20 students.
a) Confidence (C) = 99% = 0.99
α = 1 - C = 1 - 0.99 = 0.01
α/2 = 0.01/2 = 0.005
The z score of α/2 is the same as the z score of 0.495 (0.5 - 0.005) which is equal to 2.576. This means that Z(α/2) = 2.576
The margin of error (E) is given as:
[tex]E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } \\\\Substituting:\\\\E=2.576*\frac{38.92}{\sqrt{20} } \\\\E=8.7[/tex]
The confidence interval = (μ ± E) = (212.45 ± 8.7) = (203.75, 221.15)
Hence the 99% confidence interval is between 203.75 and 221.15.
b) The population mean is the same as the sample mean. Hence the population mean = $212.45
Rani ate 2/7 of the cake while her brother ate 4/5 part of the remaining. part of the cake left is?
Answer:
Nothing left
Step-by-step explanation:
Nothing left
2/7+4/5=38/35
1 3/35
Answer:
[tex]\frac{1}{7}[/tex]
Step-by-step explanation:
Amount of cake Rani ate = [tex]\frac{2}{7}[/tex]
You need to understand that her brother ate 4/5 of the remaining part, not of the entire cake, so we need to figure out the actual amount out of the entire cake first before calculating how much is left.
Amount of cake brother ate = [tex]\frac{4}{5}[/tex] × ([tex]\frac{7}{7}[/tex] - [tex]\frac{2}{7}[/tex])
= [tex]\frac{4}{5}[/tex] × [tex]\frac{5}{7}[/tex]
= [tex]\frac{4}{7}[/tex]
Amount of cake left = [tex]\frac{7}{7}[/tex] - [tex]\frac{2}{7}[/tex] - [tex]\frac{4}{7}[/tex]
= [tex]\frac{1}{7}[/tex]
Camila and her children went into a bakery and she bought $35 worth of cupcakes
and brownies. Each cupcake costs $3.75 and each brownie costs $2.50. She bought a
total of 10 cupcakes and brownies altogether. Write a system of equations that could
be used to determine the number of cupcakes and the number of brownies that
Camila bought. Define the variables that you use to write the system.
Answer:
x + y = 10
3.75x + 2.5y = 35
Step-by-step explanation:
Got it correct
Reid earns $9.00 per hour painting furniture and has already earned $22.50. The number of hours, x, for which Reid painted can be found using the equation 22.50=9x.
How many hours did Reid paint?
Answer:
2.5 hours or 2 hours and 39 min
Step-by-step explanation:
22.50/9
Helen and Stephanie par
cipated in the Christmas bird count. Helen
counted four less than twice the number of birds that Stephanie counted. If c
represents the number of birds Stephanie counted, which of the following
expressions gives the number of birds that Helen counted?
i really really really like birds
1/3 + a =5/4
what does a equal
Answer:
the answer to this is a = 11/12
Step-by-step explanation:
One factor of x^2 + 5x - 24 is?
Answer:
(x-3)(x+8)
Step-by-step explanation:
Answer:
(x-3)(x+8) take your pick
The image above is a parallelogram because both pairs of opposite sides are parallel by the converse of the
Alternate (Interior Exterior) Angle Theorem.
Write which word should go in the underlined space after the word Alternate?
Directions for answering:
Choose the correct word in the parenthesis in the sentence above and type it exactly as shown into the answer
space.
Answer:
msnsjakzooapaozoziznzn zjzkzkamamz xnejiqpwkx
help me fill in the boxes please
Answer:m = 5/4 b=2 and y=5/4x +2
Step-by-step explanation:
m = 5/4 b=2 and y=5/4x +2
How much acetic acid is in a 15-liter container of acetic acid and water that is marked 40% acetic acid?
The solution is 40% acetic acid.
Multiply the amount of the solution by 40%:
15 liters x 0.40 = 6 liters
There is 6 liters of acetic acid
w/6+5/8=−1 3/8
w=?
I am really in a hurry. If the answer to this question is true, please tell me how to answer it. Thank you.
Answer:
46
Step-by-step explanation:
Calculate in calculator