Answer:
X=5 y=15
Step-by-step explanation:
you got to solve the first variable in the first equation, then substitute the result in to the other.
Solution for the system of equations y = -5x + 40 and y = 3x are:
x = 5 , y = 15 .
What is substitution method?The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.
Given equations
y = -5x + 40 ------(a)
y = 3x -------(b)
Substituting value of y from equation (b) to equation(a)
3x = -5x + 40
⇒ 3x + 5x = 40
⇒ 8x = 40
⇒ x = 40/8
⇒ x = 5
Substituting value of x in equation (b)
y = 3 × 5
⇒ y = 15
Hence, x = 5 and y = 15 are the solutions
for the system of equations
y = -5x + 40 and y = 3x
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The diagram shows a triangle.
2x
60°
2x
What is the value of x?
Х=
Answer:
X=30
Step-by-step explanation:
It is a equilateral triangle so all side are the same
You would add the x's so it would be 4x + 60 = 180
Thats 4x = 120
Divide 120 by 4 and u get 30
At the age of 28, you decide to invest into a 20-Year Endowment insurance policy. The face value for the policy that you are interested on is $91,500. Using the provided table, determine the annual premium for a 28-year-old healthy female seeking a 20-Year Endowment. Use the table provided below and round your answer to the nearest cent where necessary. A 7-column table with 4 rows title Permanent Insurance. Column 1 is labeled Age with entries 25, 26, 27, 28. Column 2 is labeled Whole life male (dollars) with entries 16.38, 16.91, 17.27, 17.76. Column 3 is labeled whole life female (dollars) with entries 14.38, 14.77, 15.23, 15.66. Column 4 is labeled 20-payment life male (dollars) with entries 28.40, 29.11, 29.97, 30.68. Column 5 is labeled 20-payment life female (dollars) with entries 25.04, 25.96, 26.83, 27.54. Column 6 is labeled 20-year endowment male (dollars) with entries 37.02, 37.67, 38.23, 38.96. Column 7 is labeled 20-year endowment female (dollars) with entries 34.87, 35.30, 35.96, 36.44. a. $3,334.26 c. $3,229.95 b. $3,290.34 d. $3,190.61
Answer is A edge
Answer:
A
Step-by-step explanation:
Answer:
the is a. $3,334.26
Step-by-step explanation:
Simplify: –3|–2| + 4|–5
Answer:
14
Step-by-step explanation:
–3|–2| + 4|–5|
-3 · 2 + 4 · 5
-6 + 20
14
The integer that is 25 more than -435 is
a) -450
b) -460
c) -410
d) 460
Answer:
-410
Step-by-step explanation:
Hope this will help you dude
Answer:
c) -410
Step-by-step explanation:
-435 + 25 = -410
An open-top box is to be made from a 12-inch by 24-inch piece of plastic by removing a square from each corner of the plastic and folding up the flaps on each side. What is the maximum possible volume, in cubic inches, of the box?
Answer:
The maximum possible volume = 332.685 cubic inches
Step-by-step explanation:
From the information given:
Let the height be = x
The length be = 24 - 2x
The width be = 12 - 2x
Then V = x (24 -2x) ( 12 - 2x)
V = x ( 288 -48x - 24x +4x²)
V = x(288 - 72x + 4x²)
V = 288x - 72x² + 4x³
[tex]\dfrac{dV}{dx}= (3x^2 - 36x+ 72)[/tex]
[tex]\implies x^2 - 12x + 24 = 0[/tex]
[tex]=\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]=\dfrac{-(-12) \pm \sqrt{(-12)^2 - 4(1)(24)}}{2(1)}[/tex]
[tex]=\dfrac{12 \pm \sqrt{144 - 96}}{2}[/tex]
[tex]=\dfrac{12 \pm \sqrt{48}}{2}[/tex]
where;
[tex]x \ne \dfrac{12 + \sqrt{48}}{2}[/tex]
∴ [tex]x= \dfrac{12 - \sqrt{48}}{2}[/tex]
x = 2.536 ( since the length cannot be negative)
So, the length x = 24 - 2(2.535) = 18.93
The width = 12 - 2(2.535) = 6.93
heigth = 2.536
∴
V = 18.93 × 6.93 × 2.536
V = 332.685 cubic inches
A box is made from a plastic sheet by removing square from each corner, maximum volume of this box will be 332.55 cubic inches.
Volume of a cuboid: Volume of a cuboid or rectangular box is given by the expression,Volume = Length × Width × Height
Given in the question,
Plastic sheet with length = 12 inches Width of the sheet = 24 inches A square has been removed from each corner to fold the box.Let the measure of each side of a square removed = x inches
Therefore, length of the box = (12 - 2x) inches
Width of the box = (24 - 2x) inches
Height of the box = x inches
Volume of the box (V) = (12 - 2x) × (24 - 2x) × (x)
V = 4x³ - 72x² + 288x
To find the maximum volume of the box differentiate the expression with respect to 'x' and equate it to zero.
V' = 12x² - 144x + 288
For V' = 0,
12x² - 144x + 288 = 0
x² - 12x + 24 = 0
[tex]x=\frac{12\pm\sqrt{(12)^2-4(1)(24)} }{2(1)}[/tex]
[tex]x=(6\pm2\sqrt{3})[/tex]
[tex]x=9.46,2.54[/tex]
For x = 9.46,
Volume of the box = 4(9.46)³- 72(9.46)² + 288
= -2769.03 cubic inches
For x = 2.54,
Volume of the box = 4(2.54)³- 72(2.54)² + 288
= 332.55 cubic inches
Therefore, maximum volume of the box will be 332.55 cubic inches.
Learn more about the volume of a cuboid here,
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hey do any of y'all know what the lcm of 9c^4 and 15c^2
Answer:
45c^4
Step-by-step explanation:
9c^4=3×3×c²×c²
15c²=3×5×c²
lcm=3×3×5×c²×c²=45c^4
What is 20000000 in standard form
Answer:
twenty million
Step-by-step explanation:
there are 7 zeros so the "20" part would be one number then there would be a comma and the 3 zeros and then another comma then the other 3 zeros
4x + 16y = -19
-2x - 8y = 10
Answer:
No solution.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
4x + 16y = -19
-2x - 8y = 10
Step 2: Rewrite systems
-2x - 8y = 10
Add 8y to both sides: -2x = 8y + 10Divide -2 on both sides: x = -4y - 5Step 3: Redefine systems
4x + 16y = -19
x = -4y - 5
Step 4: Solve for y
Substitution
Substitute in x: 4(-4y - 5) + 16y = -19Distribute 4: -16y - 20 + 16y = -19Combine like terms: -20 ≠ -19Here we see that -20 does not equal -19.
∴ This systems of equations has no solution
Step 5: Graph
Check the systems.
Hard to see, but they are parallel lines.
please help me with math
what is the square root of 3x plus 16 and equal to 7
Answer:
11
Step-by-step explanation:
√3x+16=7
3x+16=7^2
3x+16=49
3x=49-16
3x=33
X=33/3
X=11
So the answer is 11
WHICH NUMBER MEANS THE SAME AS 2,000,000 + 70,000,000 + 6,000,000 +
300,000 + 40,000 + 2,000 + 100 +10 +7 ANSWER
78,342,117
Step-by-step explanation:
Just add! And yeah have a good day ^-^
Answer:im assuming we add them
Step-by-step explanation:
78342117
The scores on a standardized test are normally distributed. If a random sample of standardized test scores is taken and the confidence interval is (92.3,120.7), what is the sample mean x¯?
Answer: 106.5
Step-by-step explanation:
We know that, Confidence interval for population mean is given by :-
( Sample mean - Margin of error , Sample mean + Margin of error)
Given: confidence interval is (92.3, 120.7).
i.e. Sample mean - Margin of error = 92.3 (i)
Sample mean + Margin of error = 120.7 (ii)
Adding (i) and (ii) , we get
2( Sample mean ) = 213
⇒ Sample mean = 106.5
Hence, the sample mean [tex](\overline{x})[/tex] = 106.5
Find the area of the triangle 8 cm 15 cm
Answer:
60 cm squared
Step-by-step explanation:
area of a triangle is [tex]\frac{bh}{2}[/tex]
base and height are interchangable; 8 cm and 15 cm
[tex]\frac{8(15)}{2}[/tex]
[tex]\frac{120}{2}[/tex]
60
Suppose the y-intercept of a line is - 7 and the slope of the line is
-4/3
Which statement is true about the line?
A)The line falls from left to right.
B)The y-intercept is at (-7,0)
C)The equation of the line is y= 4/3x+7
D)The equation of the line is y= -4/3x+7
Answer:
A
Step-by-step explanation:
Since the slope is negative the line falls left to right.
The equation of the line falls from left to right.
What is a slope?The slope of a line, commonly referred to as its gradient, in mathematics is a numerical representation of the steepness and direction of the line.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
Given, the y-intercept of a line is - 7 and the slope of the line is -4/3.
And the standard form of the slope-intercept form:
y = mx + b,
where m is the slope and b is the y-intercept.
Here, m = -4/3 and b = -7.
Substituting the above values to the standard slope-intercept form,
y = (-4/3)x + (-7)
y = (-4/3)x -7
And the line falls from left to right.
Therefore, the line falls from left to right.
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what is the expanded notations for 232,913,805
Answer:
200,000,000 + 30,000,000 + 2,000,000 + 900,000 + 10,000 + 3,000 + 800 + 5
Step-by-step explanation:
As part of a study of the association between smoking and risk of squamous cell carcinoma, a logistic regression model was estimated as:
logit(probability of having squamous cell carcinoma) = -4.84 + 4.6*(SMOKER)
where SMOKER=0 for non-smoker and 1 for smoker. What is the predicted probability of a smoker having squamous cell carcinoma?
Answer:
0.44
Step-by-step explanation:
Given the estimated logistic regression model on risk of having squamous cell carcinoma
-4.84 + 4.6*(SMOKER)
SMOKER = 0 (non-smoker) ; 1 (SMOKER)
What is the predicted probability of a smoker having squamous cell carcinoma?
exp(-4.84 + 4.6*(SMOKER)) / 1 + exp(-4.84 + 4.6*(SMOKER))
SMOKER = 1
exp(-4.84 + 4.6) / 1 + exp(-4.84 + 4.6)
exp^(-0.24) / (1 + exp^(-0.24))
0.7866278 / 1.7866278
= 0.4402863
= 0.44
please help!! this is due at 3 i don’t know how to do this one
Answer: y = 1/3x + 2
Step-by-step explanation:
You basically use the rise over run method and see the slope increases by 1/3 ( it comes up one and goes right 3 ) and it starts at 2
PEOPLE SHOW ANSWERS PLEASE AND WILL GIVE BRAINLIEST 8. The ratio of cats to dogs at a pet show
is 1:3.
a) What percent of the pets at the
show are cats?
Answer:
33.33%
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
so we add 1 and 3 together becuase since there are equal parts, we need to add to get the whole. so since the ration is 1:3, there are 1/4x cats thereate the show
50 points please help please see image below
Answer:
395.841Step-by-step explanation:
surface area = 2πrh + 2πr²
where r = 7 m radius
h = 2 m
plugin values into the formula
surface area = 2πrh + 2πr²
= 2π (7) 2 + 2π (7)²
= 87.965 + 307.867
= 395.841 m²
Answer:
395.841 m²
Step-by-step explanation:
surface area = 2πrh + 2πr² and r = 7 m radius
h = 2 m
Plugin
2π (7) 2 + 2π (7)²
multiply into itself than add
87.965 + 307.867
add
395.841 m²
Therefore your answer would be 395.841 m²
Please Help!!!!!!!
Bert keeps honey bees on his farm. When he first started, he used a 6-frame beehive that held 40 pounds of honey. Now, he uses a 30-frame beehive. It has the same ratio of frames to honey as the smaller beehive. How much honey does Bert's new beehive hold?
Answer:
180?
Step-by-step explanation:
Answer: The new beehive will hold 200 pounds of honey
Explanation: 30 divided by 6 is five so 40*5 is 200
pls help i have pictures pls explain how you get your answer
Answer:
0.75
Step-by-step explanation:
To find the slope of the graph, you have to find the rise and the run by any two points on the graph. (I'm going to calculate using the two blue dots as shown in the picture)
[tex]\frac{rise}{run}[/tex] = [tex]\frac{(-2)-(-5)}{4-0}[/tex]
= [tex]\frac{-2+5}{4}[/tex]
= [tex]\frac{3}{4}[/tex]
= 0.75
Angles A and B are complementary. Angle A measures 3x + 10
degrees and angle B measures 2x + 20 degrees. What is the value of
x?
Answer:
x = 12
Step-by-step explanation:
Lets set up the equation!
Complementary angles equal 90 degrees.
2x + 20 + 3x + 10 = 90
Now lets combine the like terms!
2x + 3x 20+ 10
5x +30 = 90
Now subtract 30 from both sides!
5x = 60
Divide each side by 5
x = 12
Brainliest is appreciated!
oday, everything at a store is on sale. The store offers a 20% discount.
a) The regular price of a T-shirt is $18. What is the discount price? $
b) If the regular price of an item is x dollars, what is the discount price in dollars? Write an expression. $
c) The discount price of a hat is $18. What is the regular price? $
Plz hurry I need this answered fast!!!!
Answer:
A=14.4 dollars
B= x = regular price x discount then subtract the regular price with the discount
C=21.6 dollars
Step-by-step explanation:
I really need some help with this
Answer:
It's B
Step-by-step explanation:
Answer:
Step-by-step explanation:
C
choices for the first select
∠7 or none of the angles
choices for the second select
is or is not
choices for the third select
is or is not
giving brainliest !!!!!
Answer:
1. None of the angles
2. Is not
3. Is not
Step-by-step explanation:
We can see if the triangles are congruent by ASA (angle, side, angle)
We find ∠F in DEF by 180-(64+78)=38 and 38 doesn't equal 39 so they are not congruent.
Point O is the incenter of ΔABC.
Point O is the incenter of triangle A B C. Lines are drawn from the point of the triangle to point O. Lines are drawn from point O to the sides of the triangle to form right angles and line segments O Q, O R, and O S. Angle Q A O is (2 x + 6) degrees, angle O A S is (4 x minus 12 degrees), and angle Q B O is (3 x minus 15) degrees.
What is m Angle Q B O?
5°
9°
12°
24°
Answer:
12
Step-by-step explanation:
Answer:
C. 12°
May I have brainliest please? :)
Polly has 2 cups of cereal. How many 3/4 cup full servings can she make? Will she have any cereal left over?
Margaret packs colored cubes into shipping boxes. She has a function b(x)=x+2 that gives the edge length of the box, in centimeters, given the edge length x of the cube.
What is the volume, in cubic centimeters, of a shipping box for a colored puzzle cube with an edge length x of 8 centimeters, where V=x3?
a. 216
b. 512
c. 640
d. 1000
Answer:B. 512
Step-by-step explanation
8 x8= 64 x8= 512
Find the dimensions of a rectangle with area 729000 m2 whose perimeter is as small as possible. (Give your answers in increasing order, to the nearest meter.)
Step-by-step explanation:
Area of a rectangle = Length * Width
A = LW
729000 = LW .... 1
Perimeter of a rectangle P = 2L+2W
P = 2L+2W
From 1;
W = 729000/L
P = 2L + 2(729000/L)
P = 2L + 1458000/L
To minimize the perimeter, dP/dL = 0
dP/dL = 2 - 1458000/L²
2 - 1458000/L² = 0
2L² - 1458000 = 0
2L² = 1458000
L² = 729000
L = √729000
Length = 853.8m
W = A/L
Width = 729000/853.8
Width = 853.8
Hence the dimension to the nearest meter is 854m by 854m
Reagan uses 2 3/4 cups of vinegar in her salad dressing recipe. How much vinegar would Reagan use to make 5 recipes?
Answer:
13 3/4
Step-by-step explanation:
2 3/4 is 11/4 when converted into an improper fraction.
5 is 5/1 when converted into a fraction.
11*5 is 55 (numerators)
4*1 is 4 (denominators)
55/4 is 13 with 3/4 remaining
13 3/4