Answer:
13
Step-by-step explanation:
To find the value of y, we will use the substitution method
Plug the y of the top equation into the other equation
2(5x + 3) = 18x - 10
Distribute the 2 into the equation inside the parenthesis
10x + 6 = 18x - 10
Subtract 10x from both sides
10x + 6 = 18x - 10
-10x -10x
6 = 8x - 10
Add 10 to both sides
6 = 8x - 10
+10 + 10
16 = 8x
Divide both sides by 8
16/8 = 8x/8
x = 2
Sub the 2 in the place of x into one of the original equations. We will use the first one.
y = 5(2) + 3
y= 10 + 3
y = 13
Answer:
y = 13
Step-by-step explanation:
y = 5x + 3
2y = 18x- 10
substitution (substituting y with the y value given):
2( 5x + 3 ) = 18x - 10
solve:
10x + 6 = 18x - 10
10x - 18x = -10 - 6
-8x = -16
x = 2
now plug in the x:
y = 5( 2) + 3
y = 10 + 3
y = 13
What is the product represented by this model? [Hint: Remember that the green overlapping area represents the numerator]. Write your answer in simplest form.
The product represented by the model is 2/3, the correct option is A.
What is a Fraction?A fraction is a part of the whole, It is represented in the terms of p/q, where q is not equal to zero.
To form the fraction from the given graph
The number of green boxes needs to be counted = 20
Total number of boxes = 30
The green boxes represent the numerator
Fraction = 20/30
Fraction = 2/3
Therefore, the product represented by the model is 2/3.
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Hank's Fudge Factory packages and sells homemade white chocolate and milk chocolate fudge. Both types of fudge come in blocks that are 6 centimeters wide and 6 centimeters tall. The volume of the block of white chocolate fudge is 360 cubic centimeters. The volume of the block of milk chocolate fudge is 504 cubic centimeters. How much longer is the block of milk chocolate fudge than the block of white chocolate fudge?Write your answer as a whole number or decimal. Do not round
Answer:
4
Step-by-step explanation:
The volume of a rectangular prism V is the product of its length ℓ, width w, and height h.
V=ℓwh
ou want to find how much longer the block of milk chocolate fudge is than the block of white chocolate fudge.
First, find how long the block of milk chocolate fudge is. The block of milk chocolate fudge is shaped like a rectangular prism. Its width is 6 centimeters, its height is 6 centimeters, and its volume is 504 cubic centimeters.
To find how long the block of milk chocolate fudge is, ℓ, you can use the formula for the volume of a rectangular prism.
V
= ℓwh
504
= ℓ66
504
= ℓ36 Multiply 6 by 6
506
36
=
ℓ36
36
Divide both sides by 36
14
= ℓ Simplify
The block of milk chocolate fudge is 14 centimeters long.
Now, find how long the block of white chocolate fudge is. The block of white chocolate fudge is shaped like a rectangular prism. Its width is 6 centimeters, its height is 6 centimeters, and its volume is 360 cubic centimeters.
To find how long the block of white chocolate fudge is, ℓ, you can use the formula for the volume of a rectangular prism.
V
= ℓwh
360
= ℓ66
360
= ℓ36 Multiply 6 by 6
360
36
=
ℓ36
36
Divide both sides by 36
10
= ℓ Simplify
The block of white chocolate fudge is 10 centimeters long.
Subtract to find how much longer the block of milk chocolate is than the block of white chocolate fudge.
14–10=4
The block of milk chocolate fudge is 4 centimeters longer than the block of white chocolate fudge.
What expression represents the profit? 27x – 650 27x 390 33x – 650 33x 390.
The expression that represents profit in the given example is
33x+390.
It is given that
Revenue function = [tex]2x^3 +30x-130[/tex]
Cost function = [tex]2x^3-3x-520[/tex]
What is the relationship between revenue, cost, and profit functions?Profit function = revenue function- cost function
Profit function= [tex]{2x^3 +30x-130}-{2x^3+3x+520[/tex]
profit function= 33x+390
Therefore, the expression that represents profit in the given example is
27x-650
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Answer:
33x+390.
Step-by-step explanation:
I took the test
Calculate the volume. Round your answers to the nearest tenth if necessary.
Answer:
need to see problem please
Using six random samples, the average number of catfish in the samples was 5. 7. If the total population of fish in the pond is 200, the proportion of catfish in the pond will be 5. 7 20 = x 200. What is the predicted number of catfish in the pond?.
Answer:
the answer is 57 I got it right hope you do to!
Step-by-step explanation:
PLEASE HELP!!!!!! The length of a rectangle is three times its width. If the perimeter of the rectangle is 56 cm, find its area.
Step-by-step explanation:
l = length
w = width
l = 3w
perimeter p = 2l + 2w = 56
using the identity of the first equation
p = 2(3w) + 2w = 56
6w + 2w = 56
8w = 56
w = 7 cm
l = 3w = 3×7 = 21 cm
so, the area is
l×w = 21×7 = 147 cm²
This is the same triangle you used for Question 2.
Triangle ABC has angle measures as shown below. Using the information in the
diagram, and the value of x that you calculated in Question 2, find the measure
of Angle C.
In your answer, give the measure of Angle C and explain how you calculated it.
Answer:
93
Step-by-step explanation:
in your answer, give the measure of Angle C and explain how you calculated it.
i dont know the answer but i just added 3(29+2) and got 29 sorry if its wrong
80 points. Help please.
4. Test the residuals of two other points to determine how well the line of best fit models the data.
Slope is y = 1x + 2
Answer:
[tex]\red{ \rule{10pt}{9999999pt}}[/tex]
Step-by-step explanation:
[tex]\red{ \rule{10pt}{999999pt}}[/tex]
You did it! please don't delete
QUICK whoever gives correct answer will get brainliest please and thank you.
Answer:
D. (The one with a graph and line)
You can use the vertical line test.
Use the information in the table to answer the question. A 3-column table has 1 row. The first column is labeled Species with entry Goldfish. The second column is labeled Mean with entry 7 inches. The third column is labeled Standard Deviation with entry 1. 2 inches. What percentage of goldfish will have lengths between 4. 6 inches and 9. 4 inches? 34% 68% 95% 99. 7%.
By Using the Empirical formula we found that 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.
What percentage of goldfish will have lengths between 4. 6 inches and 9. 4 inches?According to the empirical rule :
(1) 68% of the measures should come within 1 standard deviation of the mean.
(2 95% of the measures should come within 2 standard deviations of the mean.
(3) 99.7% of the measures should come within 3 standard deviations of the mean.
So we can see in this problem
The mean is 7 inches.
The standard deviation is 1.2 inches.
4.6 = 7 - 2(1.2)
9.4 = 7 + 2(1.2)
The measures are within 2 standard deviations of the mean, hence, 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.
Thus by using the Empirical Rule we found that 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.
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what’s the answer??
Answer:
your answer is 3.44
Step-by-step explanation:
First...
divide 16 by 5 which equals 3.2
Second...
then you want to divided 11 by 3.2 which will give you 3.4375
Last...
Round 3.4375 to the nerest tenth which will give you 3.44
What is the perimeter of rectangle efgh? startroot 10 endroot startroot 29 endroot units 2 startroot 10 endroot 2 startroot 29 endroot units 22 units 39 units
The perimeter of the rectangle is the length of the boundary of the perimeter of the rectangle. The perimeter of the rectangle is 2(√29+√10).
What is the perimeter of the rectangle?The perimeter of the rectangle is the length of the boundary of the perimeter of the rectangle.
In order to find the perimeter of the rectangle, we need to find the third side(Hypotenuse) of each triangle, therefore,
In ΔA,
[tex](Hypotenuse)^2 =(Perpendicular)^2+(Base)^2[/tex]
[tex]GF^2 = 3^2+1^2\\GF=\sqrt{10}[/tex]
In ΔB,
[tex](Hypotenuse)^2 =(Perpendicular)^2+(Base)^2[/tex]
[tex]EF^2 = 2^2+5^2\\EF=\sqrt{29}[/tex]
In ΔC,
[tex](Hypotenuse)^2 =(Perpendicular)^2+(Base)^2[/tex]
[tex]GH^2 = 2^2+5^2\\GH=\sqrt{29}[/tex]
In ΔD,
[tex](Hypotenuse)^2 =(Perpendicular)^2+(Base)^2[/tex]
[tex]EH^2 = 3^2+1^2\\EH=\sqrt{10}[/tex]
Now, the perimeter of the rectangle is,
[tex]Perimeter\ EFGH = EF+ GF + GH +EH[/tex]
[tex]=\sqrt{29}+\sqrt{10}+\sqrt{29}+\sqrt{10}\\\\=2\sqrt{29}+2\sqrt{10}\\\\=2(\sqrt{29}+\sqrt{10})[/tex]
hence, the perimeter of the rectangle is 2(√29+√10).
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HELPPP FOR BRAINLEST!!!
Answer:
3/17
Step-by-step explanation:
Add together all the readers, and then as the numerator of the fraction put the number of Paperback Books and the 1 hour per week. The fraction is three seventeenths.
Answer:
3/17
Step-by-step explanation:
the number of club members who read about 1 hour per week AND prefer paperback books is 3
Put that over the total amount of club members in the sample which is 17
so 3/17 and that doesn't simplify :)
hello humans ~
explain how can we find real roots of a quadratic equation
Answer:
1. Completing the square
2. Factorisation
3. Formula method
4. Graphical method
Answer:
- For a quadratic equation ax2 + bx + c = 0, The roots are calculated using the formula, x = (-b ± √ (b² - 4ac) )/2a.
- Discriminant is, D = b2 - 4ac. If D > 0, then the equation has two real and distinct roots.
What are the coordinates of A’ after reflecting across the line x = 3?
On a coordinate plane, figure A B C D has points (3, 2), (2, 4), (6, 3), and (1, 0).
(2, 3)
(3, 2)
(3, 4)
(3, –2)
Mark this and return
Answer: (3,2)
Step-by-step explanation:
(3,2) lies on the line x=3, so it is an invariant point.
Answer:
c
Step-by-step explanation:
Alma makes 5 cups of her favorite shade of purple paint by mixing 3 cups of blue paint, 11/2 cups of red paint, and 1/2 a cup of white paint. Alma has 2 cups of white paint.
Assuming she has enough red paint and blue paint, how much purple paint can Alma make?
Answer:
8 1/2 cups
Step-by-step explanation:
Add the blue and red cups of paint together to get 8 1/2 cups of paint.
Since we can assume she has enough, the answer is eight and a half cups of purple paint.
Alma can make 20 cups of purple paint.
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: For every 5 cups of purple paint alma needs to add 1/2 cup of white paint .
Thus with 2 cups white paint she could make 4 batches of 5 cups of purple paint.
Therefore, total number of purple paint cups from 2 cups of white paint is
4×5=20 cupa
Hence, Alma can make 20 cups of purple paint.
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10. Which graph best represents the equation y = 1.5x -2?
Unit 11: volume and surface Area homework 3: area of composite figures
Answer:
it may multiple by 10 times
Pl help
THIS IS DUE VERY SOON
CROWN FOR CORRECT ANSWER
Answer:
5.634
Step-by-step explanation:
Side BC = 12
Side AC = 10.59537
Side AB = 5.63366
90° = 1.5708 rad = π/2
62° = 1.0821 rad
28° = 0.48869 rad
Please let me know if this helped <3
A prism is completely filled with 80 cubes that have edge length of 12cm What is the volume of the prism? Enter your answer in the box. cm³
The volume of this prism is equal to 138,240 [tex]cm^3[/tex].
Given the following data:
Edge length of cube = 12 cm.Number of cubes = 80 cubes.To determine the volume of this prism:
How to calculate the volume of a prism.First of all, we would determine the volume of the cube by using this formula:
[tex]Volume = s^3\\\\Volume = 12^3\\\\Volume = 1728\;cm^3[/tex]
For the prism:
Volume = [tex]80 \times 1728[/tex]
Volume = 138,240 [tex]cm^3[/tex].
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Teslim is designing a cover for a book. He wants to have a rectangular grid with x2 – 10x + 21 squares in it, for some positive whole number x. What are the possible side lengths for the grid? A. (x – 3) and (x – 7) B. (x – 3) and (x + 7) C. There are no possible whole number side lengths. D. (x + 3) and (x + 7)
Answer:
A. (x – 3) and (x – 7)
Step-by-step explanation:
A. (x – 3) and (x – 7) = x^2 - 10x + 21
x*x = x^2
x*-7 = -7x
-3*x = -3x
-3*-7 = 21
x^2 - 7x + 3x + 21
x^2 - 10x + 21
Two laser beams originating from the same source pass through a glass cylinder parallel to its base. The arc intercepted by the lasers closest to the source measures 60. The arc intercepted by the lasers on the other side of the cylinder measures 80. What is the measure of the angle formed by the two laser beams ?
A. )10
B. )20
C. )30
D. (40
The measure of the angle formed by the two laser beams is 20°
What is an angle?
An angle is formed when two or more lines intersect. Acute angles are angles less than 90 degrees, obtuse angles are greater than 90 degrees while right angles are 90 degrees.
The arc intercepted by the lasers closest to the source measures 60. The arc intercepted by the lasers on the other side of the cylinder measures 80. Hence:
The measure of the angle formed by the two laser beams = 80 - 60 = 20°
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PLEASE HELP WILL GIVE BRAINLIEST
The inequalities are option B, C and D which are;
B. 11 > (w - 4)² C. y < 3⁴ D. 5+9 < 5×9
Define the term inequalities?Imbalances are numerical articulations that think about two qualities and express that they are not equivalent.
The inequalities are:
B. 11 > (w - 4)²
C. y < 3⁴
D. (5+9) < (5×9)
Here, option A and E are not inequalities. A is a quadratic expression and E is a rational function.
Inequality B says that 11 is greater than the square of the difference between w and 4.
⇒ √(11) > (w - 4)
⇒ w - 4 < √(11) or w - 4 > -√(11)
⇒ w < 4 + √(11) or w > 4 - √(11)
So the solution for inequality B is: w < 4 + √(11) or w > 4 - √(11)
Inequality C says that y is less than 3 to the fourth power (81).
⇒ y < 81
Inequality D says that the sum of 5 and 9 is less than the product of 5 and 9. This is clearly true:
⇒ (5 + 9) < (5 × 9)
⇒ 14 < 45
So the solution for inequality D is: 14 < 45
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Find the slope of the line through (2. – 3) and (5. – 3).
Answer:
Step-by-step explanation: Explanation:
You need to use the formula for slope:
m
=
y
2
−
y
1
x
2
−
x
1
m
represents the slope.
You need to assign each coordinate, but it must correspond.
For example:
In the coordinate
(
2
,
−
3
)
,
2
is
x
1
and
−
3
is
y
1
.
In the coordinate
(
5
,
2
)
,
5
is
x
2
and
2
is
y
2
.
Now you plug this in.
m
=
2
−
(
−
3
)
5
−
2
After this, you need to simplify
m
=
5
3
This may be wrong so double check.
let's solve:-
[tex]the \: formula \:to \: find \: slope \: \bold \green{m = \frac{y2 - y1}{x2 -x1}} \\ \\ \sf{(where \: m \: represents \: the \: slope.)} \\ \\ [/tex]
_________________________Here:-
[tex] \bold \red{\boxed{y2 = - 3} }\\ \bold \red{\boxed{y1 = - 3} }\\ \bold \red{\boxed{x2 = 5}} \: \: \: \\ \bold \red{\boxed{ x1 = 2} }\: \: \: [/tex]
[tex] \large\boxed {\sf{↬putting \: values \: according \: to \: formula}}[/tex]
[tex] \large \bold{↬m = \frac{ - 3 - ( - 3)}{5 - 2}} \\ \\\large \bold{↬m = \frac{ - 3 + 3}{5 - 2} } \: \: \: \: \: \: \: \\ \\ \large \bold{↬m = \frac{0}{3} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \bold\blue{↬m = 0} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
_________________________Please Help Will mark brainliest
Answer:
○ [tex]\displaystyle -6x^2 + 6x + 5[/tex]
Step-by-step explanation:
Since the divisor is in the form of [tex]\displaystyle x - c,[/tex]use what is called Synthetic Division. Remember, in this formula, -c gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so do not forget it. Anyway, here is how it is done:
2| −6 18 −7 −10
↓ −12 12 10
________________
−6 6 5 0 [tex]\displaystyle \hookrightarrow -6x^2 + 6x + 5[/tex]
You start by placing the c in the top left corner, then list all the coefficients of your dividend [−6x³ + 18x² - 7x - 10]. You bring down the original term closest to c then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that −6 in your quotient can be a [tex]\displaystyle -6x^2,[/tex]the [tex]\displaystyle 6x[/tex]follows right behind it, then you end it off with [tex]\displaystyle 5,[/tex]giving you the quotient of [tex]\displaystyle -6x^2 + 6x + 5.[/tex]
I am joyous to assist you at any time.
What is an
equation of the line that passes through the points (1, 3) and (7, -3)?
Answer: y=-x+4
Step-by-step explanation:
Below is a list of
grades on a test.
| What is the mean?
he
100 100 75 60
55
80
85
90
100
75
Answer:
82
Step-by-step explanation:
The mean is just the average Add all individual numbers together then divide by how many numbers you added.
Please help me !! ASAP
Answer:
you respiratory system puts oxygen in the blood s and the cardiovascular system pumps it through the body
lodine-131 has a half-life of 8 days. How much of the original 40-gram sample would be left
after 40 days?
Answer:
1.25 grams would be left
Step-by-step explanation:
40/2=20
20/2=10
10/2=5
5/2=2.5
2.5/2=1.25
13. The value of a boat is depreciating at a rate of 7% per year. In 2004, the
boat was worth $192,000. Find the value of the boat in 2013.
Answer: Depreciating at 7% 100 - 7 = 93%
93% = 93/100 = 0.93
0.93 is your factor of depreciation.
There are 9 years between 2004 and 2013
So, you set 9 as power on your factor
0.93^9
Multiply your original value
$192,000 x 0.93^9
= $99,918.93
This is the value of the boat in 2013.
Step-by-step explanation: Hope this helps