Answers
Answer:
x = -9
Step-by-step explanation:
To solve the equation
Simplify each sideSeparate the variable on one side and the numerical term on the other sideMake the coefficient of the variable equal 1Let us do these steps with our question to find x
∵ 4(2x + 7) = 12 - 2(10 - 2x)
→ Simplify each side
∵ 4(2x) + 4(7) = 12 - 2(10) - 2(-2x)
∴ 8x + 28 = 12 - 20 + 4x
→ Add the like terms in the right side
∵ 8x + 28 = (12 - 20) + 4x
∴ 8x + 28 = -8 + 4x
→ Subtract 28 from both sides
∵ 8x + 28 - 28 = -8 - 28 + 4x
∴ 8x = -36 + 4x
→ Subtract 4x from both sides
∵ 8x - 4x = -36 + 4x - 4x
∴ 4x = -36
→ Make coefficient of x equal 1 by dividing both sides by 4
∴ [tex]\frac{4x}{4}=\frac{-36}{4}[/tex]
∴ x = -9
Related Questions
Curtis won 53 pieces of candy playing a game at the county fairAt school he gave one to each of his classmates in his English class. He only has 25 remaining. How many did he give away?
Answers
0.6×100 is equal to
Answers
Answer:
60
Step-by-step explanation:
.6 x 100 = 60
Lee has decided to build a shed on a square concrete slab. The shed has the same width, w,as the slab. Its length is 2 m shorter than the width of the slab .
a) What is an expression for the area of the shed?
Answers
Answer:
w * w+2 = area of the shed
Step-by-step explanation:
Well you just do the width times the width plus two. (please Brainliest)
Una caja contiene 448 mascarillas, las cuales se deben acomodar en 3 cajas más pequeñas. En la primera se deben poner ; 1/8, del total, en la segunda 3/8 y en la tercera 4/8 ¿Cuántas mascarillas van en cada caja y cuántas quedan en la caja original?
Answers
Step-by-step explanation:
Si una caja contiene 448 cajas y debe acomodarse en tres cajas más pequeñas, si la primera contiene 1/8 del total, entonces el número de cajas en la primera será:
[tex]= \frac{1}{8}\times 448\\ = \frac{448}{8}\\ = \frac{8\times56}{8}\\ = 56[/tex]
Por lo tanto, la primera caja contiene 56 cajas más pequeñas.
Si el segundo contiene 3/8 del total, entonces el número de casillas en el segundo será:
[tex]= \frac{3}{8}\times 448\\ = \frac{3\times448}{8}\\ = \frac{8\times 3 \times 56}{8}\\ = 3 \times56\\= 168[/tex]
Por lo tanto, la segunda caja contiene 168 cajas más pequeñas.
Si el tercero contiene 4/8 del total, entonces el número de casillas en el tercero será:
[tex]= \frac{4}{8}\times 448\\ = \frac{1}{2} \times 448\\ = 224[/tex]
Por lo tanto, la tercera caja contiene 224 cajas más pequeñas.
La cantidad que quede en la casilla original se expresará como
= 448- (56 + 168 + 224)
= 448-448
= 0
Por lo tanto, no quedó ninguno en la caja original.
2(b + 2) > 4(1 + 5b) -b
Answers
Answer:
b<0
Step-by-step explanation:
2(b+2)>4(1+5b)−b
Step 1: Simplify both sides of the inequality.
2b+4>19b+4
Step 2: Subtract 19b from both sides.
2b+4−19b>19b+4−19b
−17b+4>4
Step 3: Subtract 4 from both sides.
−17b+4−4>4−4
−17b>0
Step 4: Divide both sides by -17.
−17b
−17
>
0
−17
b<0
Answer:
b<0
Answer:
2(b + 2) > 4(1 + 5b) -b
2b + 4 > 4 + 20b -b
2b - 20b + b > 4 - 4
-17b > 0
b < 0/-17
b < 0
The ratio of adult cats to kittens at a pet care center on was 5:2 . There were 12 kittens there that day. Thursday , 38 adult cats were at the pet care center. What is the difference between the number of adult cats at the pet care center on thursday and monday?
Answers
Answer:
8 adult cats
Step-by-step explanation:
The ratio of adult cats to kitten at the pet care center was 5:2
No of adult cats= 5x
No of kitten cats= 2x
Since there were 12 kittens that day
2x= 12
x= 12/2
x= 6
Number of adult cats = 5x
= 5 × 6
= 30 adult cats
Therefore since there were 38 adult cats in the pet center in Thursday then the difference between the number of adult cats in Thursday and Monday can be calculated as follows
= 38-30
= 8 adult cats
There are 5 number cards labeled 1 through 5. What is the probability and its complement of randomly drawing a card from this set that is more than 47
Answers
Answer:
impossible you cant get one that is over 5 if it only goes to 5
Step-by-step explanation:
Given the following roots x = 2, -3, 4. Write a polynomial function p(x)
Answers
Answer:
[tex]x^3-3x^2-10x+24[/tex]
Step-by-step explanation:
The first thing that you have to do is take the roots that you're given and write binomial products.
[tex]x= 2, -3, 4[/tex]
[tex](x-2)(x+3)(x-4)[/tex]
Remember that a root is the value of "x" in a binomial expression, so the binomial expression itself will have the opposite sign of the root.
The next thing you have to do is multiply the roots together. A good way to do this is the "box method."
(See attachment below for the multiplication of [tex](x-2)[/tex] and [tex]x+3[/tex]. )
Next, multiply your new trinomial by your remaining binomial. (See additional attachment below for the multiplication of [tex](x^2+x-6)[/tex] and [tex](x-4)[/tex])
The resulting polynomial is [tex]x^3-3x^2-10x+24[/tex].
12x+8y=240
How do I solve for y ?
Answers
A relation between a collection of inputs and outputs exists comprehended as a function.
If the equation be 12x + 8y = 240 then the value of y exists 30 - (12x/8).
What is meant by function?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
A relation between a collection of inputs and outputs exists comprehended as a function.
Let the equation be 12x + 8y = 240
8y = 240 - 12x
simplifying the above equation, we get
y = (240 - 12x) / 8
y = 30 - (12x/8)
Therefore, the value of y = 30 - (12x/8).
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Jordan get a $10 allowance and works a job that pays $7.00 per hour. Alex gets a $20 allowance and works a job that pays $6.50 per hour. If they both work the same number of hours each week, how many hours would they need to work to have the same amount of money for the week?
Answers
Answer:
20 hours
Step-by-step explanation:
Let x = number of hours
Jordan
Allowance = $10
Pay per hour = $7
Total = 10 + 7x
Alex
Allowance = $20
Pay per hour = $6.50
Total = 20 + 6.50x
Equate total of Jordan and Alex earnings
10 + 7x = 20 + 6.50x
Collect like terms
10 - 20 = 6.50x - 7x
-10 = - 0.5x
Divide both sides by - 0.5
x = -10 / -0.5
= 20
x = 20 hours
Jordan and Alex will both work for 20 hours to have the same amount of money in a week
PLS HELP!!!!!
If a
(A) a/b (B) b/a (C) a/c (D) c/a (E) b/c
Answers
if a =(E) b/c
e is the answer
E is the answer hope this helpsss
Isabella owns a rectangular lot with an area of 9/32 SQAURE mile. If the length of the western side of her lot is 3/4 mile, what is the length of the northern side?
Answers
Answer:
as below
Step-by-step explanation:
9/32=3/4 * y/x
becasue this is multiplication of fractions , its' not too tough to figure out 3 times what makes 9 and 4 times what makes 32
y=3
x=8
so the answer is 3/8 mile
The length of the northern side of a rectangular plot is 3/8 mile.
Here,
Area of rectangular lot = 9/32 square mile.
Length of the western side of lot = 3/4 mile.
We have to find the length of the northern side.
What is Area of rectangle?
The area of a rectangle is product of length and width.
Now,
Area of rectangular lot = 9/32 square mile.
Length of the western side of lot ( width ) = 3/4 mile.
Let the length of the northern side ( length ) = x mile
So,
Area of rectangle = length x width
[tex]\frac{9}{32} = x * \frac{3}{4} \\\\x = \frac{9}{32} *\frac{4}{3} \\\\x = \frac{3}{8}[/tex]
Hence, The length of the northern side of a rectangular plot is 3/8 mile.
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Suppose Jane's mother replaces the six bags of trail mix. She also provides the group with 18 cans of juice. Each snack pack has the same number of apples, bags of trail mix, and cans of juice. What is the greatest number of snack packs Jane can make? Explain.
Answers
Answer:
six[6] snack packs.
Step-by-step explanation:
Without mixing words, let's dive straight into the solution to the question above. So. the mathematics principle behind this question is what is known or refer to as Greatest Common Factor. The term ''Greatest Common Factor'' with acronym GCF means the highest factor in the set of numbers given.
In this question, we are given that there are 18 cans of juice, 24 apples and 36 small bags of mix trails in order to make snack packs. Thus, we have three set of values or numbers that is 18, 24 and 36. Hence, the question/problem require us to determine the greatest number of snack packs Jane can make that is to find/determine the Greatest Common Factor.
STEP ONE: DETERMINE OR LIST OUT THE FACTORS FOR THE THREE SET OF VALUES GIVEN, THAT IS 18, 24 AND 36.
The factors of 18 = 1, 2, 3, 6, 9 and 18.
The factors of 24 = 1, 2, 3, 4, 6, 8, 12, and 24.
The factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, and 36.
STEP TWO: DETERMINE THE GREATEST FACTOR COMMON TO THE THREE LISTS.
For the three lists, the greatest factor common to them is 6.
Therefore, The greatest number of snack packs Jane can make is six[6] snack packs
in an equation y varies directly as x varies. if y = 55 when x = 22, what is the value of x when y = 85?
Answers
Answer:
x=34
Step-by-step explanation:
If you put Y and X into a ratio then it will be
5:2
because since their GCF is 11, then we will have to divide both of the numbers by 11.
If y=85 then that means that it was multiplied by 17. If we want them to stay within the same ratio, then we will have to multiply X (2) by 17.
That will get you 34.
Question 3 of 10
What is the slope of the line that contains the points (4.-1) and (-1,4)?
O A. 5
O B. -5
O c. 1
O D. -1
Answers
Answer:
D
Step-by-step explanation:
y=kx+m
In this case I think the slope would be k.
k=y2+y1 / x2+x1
(4,-1) and (-1,4)
k=(4-1)/(-1-4)= 3/-5= -0.6 which is about -1
A recipe calls for 4 teaspoons of salt to 12 teaspoons of red pepper flakes. How many teaspoons of salt are needed for each tablespoon of red pepper flakes?
Answers
Answer:
1 teaspoon of salt to 3 teaspoons of red pepper flake
Step-by-step explanation: 12 divided by 4
Graph the exponential function.
f(x) = 4^x
Plot five points on the graph of the function. Then click on the graph-a-function button.
Answers
Exponential Function doesn't have a graph that intercepts x-axis only if it is f(x) = a^x (when a>0 and a ≠ 1)
If you want to plot five points to graph the function then. I'd rather do from negative number to positive number.
Substitute from -3≤x≤1 (We get 5 points)
f(-3) = 4^-3
f(-3) = 1/4^3
f(-3) = 1/64 (First point) (-3,1/64)
f(-2) = 4^-2
f(-2) = 1/4^2 = 1/16 (Second point) (-2,1/16)
f(-1)=4^-1 = 1/4 (Third point) (-1, 1/4)
f(0) = 4^0 = 1 (Fourth point) (0, 1)
f(1) = 4^1 = 4 (Fifth point) (1,4)
what is an equation equivaent to x=-2
Answers
x-2=0 answer
Step-by-step explanation:
x=-2 move constant to the left by adding its opposite to both sides
x+2=2-2 the sum of two opposites equals 0
x-2=0
ANSWER X-2=0
Please help me i can’t get this one right. someone help me please if you know how to do this.
Answers
Answer:
it’s going up by 3 boys per girl!
Step-by-step explanation:
Correct me if I’m wrong by commenting down below.
A baseball field is being constructed. The builders noticed that the batters would have the sun in their eyes when batting from point A. The builders decided to rotate the model 90° counterclockwise about the origin. Where is the new location of the batter?
Answers
Answer:
[tex]A' =(-y,x)[/tex]
Step-by-step explanation:
Given
Represent point A as thus;
[tex]A = (x,y)[/tex]
Required
Determine the new position of A, when rotated counterclockwise
The new position will be denoted as A'
When a point is rotated counterclockwise, we start by switching the positions of x and y as follows:
[tex]Pos = (y,x)[/tex]
Then, y is negated to give A'
[tex]A' =(-y,x)[/tex]
Plsssss helppppp y-27 greater than or equal to -13
Answers
Answer:
y-27 >= -13
Step-by-step explanation
you are finding y, so you will leave the y and convert the 27 into a positive 27.
y >= -13 + 27
Once that is done, simplify.
-13+27 = 14
so your answer will be:
y>14
Guys Please HELP ME
If you give me answer quickly, I'll give you brainliest. Please help me (20 points)
Questions
1. Find the density of a cylinder with a height of 4mm, a radius of 4mm, and a mass of 250g
2. Find the density of a sphere with radius of 2m and a mass of 2kg
Answers
Answer:
Step-by-step explanation:
1st one is 62.5 kilogramic meter
2nd one is 1 kilo kilogram/cubic meter
Step-by-step explanation:
1)First calculate the volume
v=Pir²h
v=3.15×4²×4
v=201mm³
p=m/v
p=0.250/0.201
p=1.24Kg/m³
2)v=3/4pi r³
v=3/4×3.14×2³
v=33.5m³
p=m/v
p=2/33.5
p=0.0597kg/m³
Mal always solve the equation of negative 5 x minus 16 equals 8, his work is shown below identify the era where it was made step one not gonna 5 x minus 16 plus 16 equals 8 plus 16 Sep 2 negative 5 x equals 24 step, 3 negative 5 x, over 5 equals 24 over 5 step 424 are 5.
Answers
Given:
The equation is
[tex]-5x-16=8[/tex]
To find:
The error and correct solution.
Solution:
We have,
[tex]-5x-16=8[/tex]
Add 16 on both sides.
[tex]-5x-16+16=8+16[/tex]
[tex]-5x=24[/tex]
Divide both sides by -5.
[tex]\dfrac{-5x}{-5}=\dfrac{24}{-5}[/tex]
[tex]x=-\dfrac{24}{5}[/tex]
Third step is incorrect because he divide the equation by 5 instead of -5.
Therefore, the correct solution is [tex]x=-\dfrac{24}{5}[/tex].
A set of data has a mean of 58 and only one outlier of 92. Which statement about this data set must be true?
The range is 34.
The range is 34.
The mode is equal to the mean.
The mode is equal to the mean.
The mean is greater than the median.
The mean is greater than the median.
The distribution curve is skewed to the right.
Answers
Answer:
The correct option is;
The distribution curve is skewed to the right
Step-by-step explanation:
The given parameters are;
The mean = 58
The outlier = 92
Given that the outlier, P, can be found from the following formula, we have;
P > Q₃ + 1.5·IQR = (Q₃ + 1.5 (Q₃ - Q₁)
92 > (Q₃ + 1.5 (Q₃ - Q₁)
Given that mean = 58
Therefore, the IQR, and Q₃ are relatively small compared to the outlier, and the data is skewed, with the more smaller numbers than there are large numbers which makes the distribution curve to be skewed to the right.
How do you write 8.43 × 10^-4 in standard form?
Answers
Answer:
0.000843
Step-by-step explanation:
simplify the expression:
8.43 × 0.0001
now simplify:
0.000843
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The length and breadth of a rectangle are in a 15 : 11 ratio. If the length is 56 cm more than the breadth, find the perimeter of the rectangle.
Answers
Answer:
g
Step-by-step explanation:
Answer:
Perimeter of rectangle = 728 cm
Step-by-step explanation:
Length : breadth = 15 : 11
Length = 15x
Breadth = 11x
15x - 11x = 56 cm
4x = 56
x = 56/4
x = 14
Length = 15 *14 = 210 cm
Breadth = 11 * 14 = 154 cm
Perimeter of rectangle = 2 * ( length + breadth)
= 2 *(210 + 154)
= 2 * 364
= 728 cm
Find the equation of the line.
Use exact numbers.
Y=?x+?
Answers
Answer:
y=.75x-2
Step-by-step explanation:
4,1
8,4
3/4 or .75x
to check answer:
(.75*8)=6
6-2
4
The equation of the line shown in the graph is y = 4x / 5 -2.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
Points located on the graph that lies on the line are (0, -2), and (2.5, 0)
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
Substitute the value in the above equation,
m = 0+ 2 / 2.5 -0 = 20/25
m = 4 / 5
The equation of the line is given as
y - y₁ = m (x - x₁)
Substitute the one point (-2, 0) and m in the above equation,
y + 2 = 4/5 (x - 0)
y = 4x / 5 -2
Thus, the equation of the line shown in the graph is y = 4x / 5 -2.
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Need help with the equations thank you
Answers
Step-by-step explanation:
#1
Equation 1 = 2-6 over 1-3
#2
Equation 1 = 1-4 over 2+3 Because instead of subtracting a negative you can write adding cause the double negative makes a positive
Name the subset(s) of real numbers to which the number belongs.
−1.57
A. integer only
B. rational only
C. irrational and rational
D. rational and integer
Answers
5. 27a3+216b3 ???
tomorrow is the submission :(
Answers
Answer:
(3a +6b) (9a² - 18ab + 36b²)
Step-by-step explanation:
27 = 3 * 3 * 3 = 3³
216 = 6 * 6 * 6 = 6³
a³ + b³ = (a + b)(a² - ab + b²)
27a³ + 216b³ = (3a)³ + (6b)³
= (3a + 6b)( (3a)² - 3a*6b + (6b)² )
= (3a +6b) (9a² - 18ab + 36b²)