Answer:
30 is your constant
Step-by-step explanation:
y = 4x + 30 ends up being your equation and a constant is the # without a variable. That is why the constant would be 30.
Solve the simultaneous equations:
5x + 3y = 9
7x - 2y = 25
x=__
y=__
Answer:
x= 3, y= -2
Step-by-step explanation:
5x+3y= 9
x= 25÷7 + 2÷7 y
5(25÷7 +2÷7 y)
5( 25÷7 +2÷7 y ) + 3y= 9
y= -2
x= 25÷7 + 2÷7 x (-2)
x= 3
A volunteer made m muffins for the bake sale. After selling 28 muffins, 21 muffins remained. Write and solve an algebraic equation to find how many muffins she originally made. *
Answer:
The original amount of muffin she original made will be: m = 49
Step-by-step explanation:
Let 'm' be the muffins made for the bake sale.Given that after selling 28 muffins, 21 muffins remained.
Thus, the equation becomes
[tex]m - 28 = 21[/tex]
adding 28 to both sides
[tex]m-28+28 = 21+28[/tex]
[tex]m = 49[/tex]
Therefore, we conclude that the original amount of muffin she original made will be: m = 49
-7(6x+7)=-133
show work
Answer:
multiply -7 by 6x and then multiply-7 by 7
-7(6x)-7(7)
-42x-49=-133
+49. +49
the 49 cancel out
-42x=-84
divide both sides by -42
-42x/-42=-84/-42
the -42 cancel out
leaving x=2 the negatives cancel out making it positive
I have finals next week and I’m stressing out-
Any advice?
Answer:
Hmmm.... well for one thing I would at least review a few things, just so you can feel a bit more confident in your work, then if that doesn't work you can review more or get your mind off stuff by going somewhere fun. SLEEP It's kinda hard yes but still staying up all night studying and worrying isn't going to do anything but make you sloppy. Make sure you are well fed before said test. Mainly just don't strain yourself too much because like I said before it'll make it harder in class.
I'm sure you've heard this before but yeah it works if you really take it to heart
I hope this helps! <3 even a little bit?
The roots of $y^2 + 5y - 11 = 0$ are $a$ and $b$. Find $(a + 3)(b + 3).$
Since a and b are roots of y² + 5y - 11, we have
y² + 5y - 11 = (y - a) (y - b)
and expanding the right side gives
y² + 5y - 11 = y² - (a + b) y + ab
so that
a + b = -5
ab = -11
Now,
(a + 3) (b + 3) = ab + 3 (a + b) + 9
(a + 3) (b + 3) = -11 + 3 (-5) + 9
(a + 3) (b + 3) = -17
The wolf population of a park was 200 in the year 2000. It increased by 20% from 2000 to 2005. It then increased by 15% from 2005 to 2010. What was the wolf population in the park in 2010?
Answer:
Population 2010= 276
Step-by-step explanation:
Giving the following information:
Population 2000= 200
It increased by 20% from 2000 to 2005.
It then increased by 15% from 2005 to 2010.
First, we need to calculate the population in 2005:
Population 2005= 200*1.2
Population 2005= 240
Now, for 2010:
Population 2010= 240*1.15
Population 2010= 276
Solve for b. -9/3 + b = -1 b = ___?
Answer:
2
Step-by-step explanation:
its 2 have a good day (:
Jason used 0.5 cup of kernels to make 16 cups of popcorn how many cups of popcorn would he make if he used 0.75 cup of kernels.
A. 32
B. 28
C. 24
D. 20
PLEASE HELP ME IM DAILING MATH
Answer:
Option C: 24 is the correct answer.
Step-by-step explanation:
Given that:
Jason used 0.5 cup of kernels to make 16 cups of popcorn
Ratio of cup of kernel to cups of popcorn = 0.5 : 16
Let,
x be the cups of popcorn made from 0.75 cups of kernel
Ratio of cups of kernel to cups of popcorn = 0.75 : x
This is a direct proportion as the cups of kernel is increasing.
0.5 : 16 :: 0.75 : x
Product of mean = Product of extreme
16*0.75 = 0.5x
12=0.5x
0.5x=12
Dividing both sides by 0.5
[tex]\frac{0.5x}{0.5}=\frac{12}{0.5}\\x=24[/tex]
Jason can make 24 cups of popcorn from 0.75 cups of kernel.
Hence,
Option C: 24 is the correct answer.
Solve these two by using factor the polynomial by grouping
Answer:
15. (8x^3 + 27)(x + 1)
17. (x^2 + 3)(x + 2)
Step-by-step explanation:
8x^3(x + 1) + 27(x + 1)
x^2(x + 2) + 3(x + 2)
Quadrilateral RSTU is a parallelogram. What other information would allow you to prove that RSTU is a rectangle? options 1/Opposite angles are congruent. 2/Opposite sides are congruent. 3/The diagonals bisect the angles. 4/The diagonals are congruent.
Answer:
Opposite angles are congruent
Opposite sides are congruent
Step-by-step explanation:
Write -7/10 as a decimal.
PART B Does the order in which you add -6 and 6 matter? Explain your
reasoning.
Nyour
answer
Answer: It does not matter.
Step-by-step explanation:
-6 + 6 = 0
6 + (-6) = 0
This means that the order doesn't matter.
hope this helps!
In the coordinate plane, the point A, 4− 2 is translated to the point A′, 1− 5. Under the same translation, the points B, 7− 4 and C, 2− 5 are translated to B′ and C′, respectively. What are the coordinates of B′ and C′?
Answer:
The coordinates of B' and C' are [tex]B'(x,y) = (4, -7)[/tex] and [tex]C'(x,y) = (-1, -8)[/tex], respectively.
Step-by-step explanation:
From the Linear Algebra, we define the translation of a given point as:
[tex]O'(x,y) = O(x,y) + T(x,y)[/tex] (1)
Where:
[tex]O(x,y)[/tex] - Original point, dimensionless.
[tex]T(x,y)[/tex] - Translation vector, dimensionless.
[tex]O'(x,y)[/tex] - Translated point, dimensionless.
If we know that [tex]A'(x,y) = (1, -5)[/tex] and [tex]A(x,y) = (4,-2)[/tex], then the translation vector is:
[tex]T(x,y) = A'(x,y)-A(x,y)[/tex] (2)
[tex]T(x,y) = (1,-5)-(4,-2)[/tex]
[tex]T(x,y) = (-3,-3)[/tex]
If we know that [tex]B(x,y) = (7,-4)[/tex], [tex]C(x,y) = (2,-5)[/tex] and [tex]T(x,y) = (-3,-3)[/tex], then the translated points are, respectively:
[tex]B'(x,y) = B(x,y)+T(x,y)[/tex] (3)
[tex]B'(x,y) = (7,-4) +(-3,-3)[/tex]
[tex]B'(x,y) = (4, -7)[/tex]
[tex]C'(x,y) = C(x,y) +T(x,y)[/tex]
[tex]C'(x,y) = (2,-5) + (-3,-3)[/tex]
[tex]C'(x,y) = (-1, -8)[/tex]
The coordinates of B' and C' are [tex]B'(x,y) = (4, -7)[/tex] and [tex]C'(x,y) = (-1, -8)[/tex], respectively.
Write three equivalent ratios for 8 triangles to 12 circles
Answer:
Step-by-step explanation:
8 triangles : 12 circles
4 triangles : 6 circles
2 triangles : 3 circles
16 triangles : 24 circles
Mirah has breakfast at a reaturant. She leaves an 20% tip of $1.80
Answer:
.36
Step-by-step explanatio
Emily and Olivia are selling chocolate bars. Emily sold twice as many as Olivia. They sold a total of 48 bars. How many chocolate bars did they each sell?
Answer:
Olivia sold 16 chocolate bars and Emily sold 32.
Step-by-step explanation:
Let's set the amount of chocolate bars Olivia sold as x.
Since Emily sold twice as many, she would have sold 2x chocolate bars as a result.
Therefore, since the total is 48 bars, the equation would be [tex]x + 2x = 48[/tex].
[tex]x + 2x = 48[/tex]
[tex]3x = 48[/tex]
[tex]x = 16[/tex]
Hence, Olivia sold 16 chocolate bars.
Substituting the new value into the equation, we would find that Emily had sold 2x = 2(16) = 32 chocolate bars.
Checking the answer, we would find that (16 + 32) chocolate bars is indeed 48 chocolate bars, which fits the question.
Finally, we can arrive at the conclusion that Olivia sold 16 chocolate bars and Emily sold 32.
Hope this helped!
Determine the range of the following graph:
Please answer quick. I only have 2 minutes to answer each question. Please!!!
Answer: (1, 8]
Step-by-step explanation:
The lowest point is 1, marked with an open circle, thus a soft bracket. The highest point is 8, exactly, and can be marked with a hard bracket.
The width and length of a rectangular flower bed are in the ratio 5:7. The width is 40 feet. What is the length?
Answer:
56 feet
Step-by-step explanation:
The width and length of a rectangular flower bed are in the ratio 5:7. The width is 40 feet. What is the length?
From the above question, our ratio is given as:
Width : Length
5 : 7
Width = 40 feet ,
To solve for the Length, let us represent the length as x
Width/Length
= 5/7 = 40/x
Cross Multiply
5 × x = 7 × 40
x = 7 × 40/5
x = 56 feet
Hence: The length of the rectangular flower bed = 56 feet
Slope = -2/3, y-intercept = 1
Write the slope-intercept form of the equation of each line given the slope and y-intercept ?
Answer:
The answer is y=-2/3x+1
Step-by-step explanation:
Remember the slope intercept is y=mx+b
2.2⋅10^6−4.3⋅10^5
I need help I am confused on the answer.
What is the rate of change of the graph shown below?
PLS HELP!!!! ^^^
Answer:
[tex]m=\frac{-1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (3, 0)
Point (0, 1)
Step 2: Find slope m
Plug in points to find the rate of change of the graph.
Substitute [SF]: [tex]m=\frac{1-0}{0-3}[/tex]Subtract: [tex]m=\frac{1}{-3}[/tex]Rewrite: [tex]m=\frac{-1}{3}[/tex]Please help and you will get brainliest!!
larry works at target part-time , he must earn at least $400each week , he earns $10.50 per hour , which inequality represents the number of hours ,x, jamal must work each week
Answer:
1x
Step-by-step explanation:
4x x 6x
Find a multichoice question that's answer is C.
Answer:
C. )Benjamin Franklin
Step-by-step explanation:
Who's picture is on the 100 dollar bill?
A. )George Washington
B. )Thomas Jefferson
C. )Benjamin Franklin
D. )Abraham Lincoln
Please help here’s 20 points
These questions are the worst
Answer:
yes.. i HATE them!!
ur answer is: either C or D
(not sure..)
Johan's water bottle holds 4.2L of water. Johan has drank 51% of water in the bottle. How much, in litres, has he drunk?
Answer : 2.142L
Step-by-step explanation:
51/100 × 4.2
=51/100 × 42/10
= 2142/1000
= 2.142L
Answer:
2.142 LStep-by-step explanation:
Total Volume = 4.2L = 4200 ml
Amount Drunk = 51%
How much did Johan drink = 51% of 4200 ml
[tex] \frac{51}{100} \times 4200 \\ = \frac{51 \times 42}{1} \\ = 2142[/tex]
2142 ml = 2.142 L
Oakridge High School has been experiencing an annual
decline of 2.2% in enrollment since 1994. In 1994, 3000
students were enrolled. Determine the exponential
model that describes the school's enrollment over time.
y = 3000(97.8)^x
y = 3000(102.2)^x
y=3000(1.022)^x
Y= 3000(0.978)^x
Answer:
Option (D) is correct.
Step-by-step explanation:
We know that exponential decline in Math can be termed as a consistent reduction of an amount by percentage over a certain period of time.
It can be expressed using the formula
y = a (1-b)ˣ
here
y represents the final amounta represents the original amountb represents the decay factorx represents the amount that has passedNow, map our problem using the same concept formula
as
3000 students were enrolled, so
a = 3000as High School has been experiencing an annual decline of 2.2% in enrollment, so
b = 2.2%= 0.022so substituting b = 0.022 and a = 3000
y = a (1-b)ˣ
y = 3000 (1 - 0.022)ˣ
as
1 - 0.022 = 0.978so the expression becomes
y = 3000 (0.978)ˣ
Therefore, option (D) is correct.
Point M is the midpoint of AB. If the coordinates of point Mare (2, 8) and the coordinates
of A are (10, 12), what are the coordinates of B?
Answer:
(-6,4)
Step-by-step explanation:
add the x coordinates of point A and B(take x coordinate of B as X),then divide the sum of 2 and equal it to 2 which is the x coordinate of the midpoint.
then repeat the same procedure for the y coordinates ,take the sum of y corrdinates divide by 2 and equal to 8.
then u can obtain the coordinates of B.
Solve the formula B=(R+M)/2 for R
Answer:
2B-M=R
Step-by-step explanation:
