Dexter is thinking of a number, x. Two more than three times his number is the same value as thirteen less than five times his number. The number which he is thinking is 7.5.
What is equation?Two or more expressions with an equal sign is called as Equation.
Given that Dexter is thinking of a number, x. Two more than three times his number is the same value as thirteen less than five times his number.
Let the number which Dexter is thinking be x.
Two more than three times his number.
It means value two is added to the product of 3 and the number which he is thinking x.
3x+2
thirteen less than five times his number
It means value thirteen is subtracted from the product of 5 and the number which he is thinking x.
5x-13.
It is given Two more than three times his number is the same value as thirteen less than five times his number
3x+2=5x-13
Take the like terms to one side
13+2=5x-3x
15=2x
Divide both sides by 2.
x=7.5
Hence the value of x is 7.5.
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QUESTION ON THE IMAGE
Answer:
660 cubic cm
Step-by-step explanation:
Volume= bhl/2
Find the surface area of the sphere. Use 3.14 for π. Round your answer to the nearest tenth.
Show work and explain it please.
[tex]s = 4\pi {r }^{2} [/tex]
13.6/2=6.8
4×3.14×(6.8×6.8)=580.7
the lengths of the side of a triangle are 8,10,12 is the triangle acute, right, or obtuse?
Answer:
acute triangle
Step-by-step explanation:
because (12)^2 = 144 while [tex]8^{2}[/tex] + [tex]10^{2}[/tex] = 164 which means the sum of it's smaller angles are greater than it's greatest angle so it's an acute triangle
Answer:
take the two smaller sides, call them a and b. call the longest side c.
if a^2 + b2 = c^2 you have a right triangle
if < c^2 it's acute
if > c^2 it's obtuse
in addition, if you can find a,b,c such that
a=b=c it's equilateral
a=b≠c it's isosceles
a≠b≠c it's scalene
plug in your numbers and make your choice.
Step-by-step explanation:
the quation is 8=z/6 please help me solve this algebraic equation......
Answer:
to find z
Step-by-step explanation:
8=z/6
z=6 x 8
z= 48
Mitch is making a target for the beanbag toss at his school's fall fun-run and carnival. the target is a short round basket divided evenly into 4 sections. the player wins a prize for each section the beanbag lands in. there is 1 section that wins the player a rubber ball. there are 3 sections that win the player a teddy bear. what fraction of the target wins the player a teddy bear?
Answer:
3/4 is your fraction because 3 out of the four sections gives you the bear
Step-by-step explanation:
An object is fired from a cannon. Its height after t seconds is given by the function
h(t)= 16t² + 128t + 140 feet. How high was the object after 2 seconds?
=
The object was
feet high.
Answer:
332 feet
Step-by-step explanation:
Height = h(2) = - 16(2^2) + 128t + 140 ( NOTE: I added the minus sign)
= 332 feet
The maximum height is 908 feet.For a parabola, h = ax^2 + bx + c, the vertex at point (h,t), is first found by the equation t = b / 2a, and then plugging that point into the equation to find h.
What is more about the problem?For a parabola, h = ax^2 + bx + c, the vertex at point (h,k), is first found by the equation t = b / 2a, and then plugging that point into the equation to find h.
Given the equation h = 16t^2 + 128t + 140, we know a = 16, b = 128, c = 140.
t = -b/2a
t = -(128) / 2(16)
t = -128 / 32
t = 4 seconds
let's plug in t=4 to our equation:
h = 16t^2 + 128t + 140
h = 16*(4)^2 + 128*(4)+ 140
h = 908ft
h = 908 feet
answer is that the maximum height is 908 feet.
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Please help this is for my younger sibling 70 points!!!
Part A: What fraction of the flips landed heads up, and what fraction landed tails up?
Heads up: ___________Tails up: _____________
Part B: What is the probability of the coin landing heads up on his next try?
Part C: Why didn’t Steve’s results match the probability of a coin landing heads up?
Heads is 6/10 and tails is 4/10
if answer needs to be simplified then heads is 3/5 and tails is 2/5
Heads: Fraction= 6/10 simplified=3/5 Percentage= 60% Decimal=0.6
Tails: Fraction= 4/10 simplified=2/5
Percentage=40% Decimal=0.4
brainliest if answer is good
Anyone please help me this I can't solve so I need help.༎ຶ‿༎ຶ waaaaaahhhhhh
This is your answer. I keep hope it will help you
which grade are you studying
4. Write 2 trinomials that when you add them together you will get 5x2 + 9x + 3.
Trinomial A
Trinomial B
An expression is defined as a set of numbers, variables, and mathematical operations. The two trinomial whose sum will get 5x²+9x+3 are 3x²+5x+2 and 2x² + 4x + 1.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The two trinomial whose sum will get 5x²+9x+3, therefore, the trinomial will be,
Trinomial A = 3x²+5x+2
Trinomial B = 2x² + 4x + 1
Hence, The two trinomial whose sum will get 5x²+9x+3 are 3x²+5x+2 and 2x² + 4x + 1.
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If johnny had 609898 cupcakes and gave 2323 away how much would he have left
Answer:
607,575 cupcakes
Step-by-step explanation:
Highschool math? haha
609898 - 2323 =
607,575
O
1) Complete the square to determine the maximum or minimum value of the function defined by the expression.
x² - 2x-5
A) minimum value at 1
B) minimum value at -6
C) minimum value at -1
D) maximum value at -6
( i will give brainlist ) please help is the following equation linear, quadratic, exponential or none of these?
Answer:
exponential
Step-by-step explanation:
It is exponential because the variable is in the exponent
ethan sorts shapes into two groups as shown what mistakes does ethan make use the drop down menus to explain the mistakes ethan makes
Using the bottom rules, we can conclude that Ethan's mistakes are: shapes C and F are placed in the wrong groups.
How to spot mistakes?The image showing the two groups is as shown in the brainly link attached at the end.
From the attached file in the brainly link, we see that the shapes are grouped using the following criteria:
All the shapes in group 1 have 4 square corners.All the shapes in group 2 have exactly 1 square corner.Using the above rules, we can conclude that Ethan's mistakes are: shapes C and F are placed in the wrong groups.
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Fractional Area
What fraction of the square's total area
is shaded?
Answer:
7/32
Step-by-step explanation:
A mining company is mining silver. The relationship between the mass of the material mined in metric tons and the number of carts required to transport the material is given by the function V(n) = 0.5n. Additionally, the relationship between the amount of silver and the material mined is given by the function G(V) = 0.00001V.
Which function can be used to determine the mass of silver in metric tons as a function of the number of carts required to transport the materials out of the mine?
A)G(V(n))
B)V(G(n))
C)n(G(V))
D)n(V(G))
Answer:
G(V(n))
Step-by-step explanation:
As V(n)=0.5nWhere V is carts and n is material
So vRnAnd
G(v)=0.00001VWhere G is silver found and v is material
GRvOn combininf
GRv =>(G,v)€RVRn=>(v,n)€RSo as per transitive property
GRn=>( G,n)€RR is relation
G is related to n
So G will stay outside and the relationship become GoV(n)
Luke gets paid $13/hour. He got an
additional bonus of $50 for staying late one
day. He got paid $641.50 this month.
Write an equation, define your variable and
solve. How many hours did he work?
Answer: Luke spent 45.5 hours working
Step-by-step explanation:
let x = hours worked
[tex]641.5 = 13x + 50\\\\641.5-50 = 13x\\\\591.5 = 13x\\\\\frac{13x}{13}=\frac{591.5}{13} \\\\x=45.5[/tex]
We can conclude Luke spent 45.5 hours working
What are the coordinates of the image
of (-3, -7) after the translation
(x, y) - > (x-9, y + 9)?
F (-6, 16)
H (12, -2)
G (6, -16)
J (-12, 2)
here my Answer:)))))))
H (12, -2)
I am in dire need. helpp
[SOLVED] The following data values are amperage outputs from electrical testing.
60, 60, 61, 62, 63, 63, 65, 65, 70, 72, 73, 98
Use the drop-down menus to identify the key values.
What is the median? ✔ 64
What is Q1, the median of the lower half of the data? ✔ 61.5
What is Q3, the median of the upper half of the data? ✔ 71
What is the interquartile range, or Q3 – Q1? ✔ 9.5
The median of the data is 64, the value of Q1 is 61.5, the value of Q2 is 71, and the value of Q3-Q1 is 9.5
What is the median?A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.
We have data:
60, 60, 61, 62, 63, 63, 65, 65, 70, 72, 73, 98
The median = (63+65)/2 = 64
Q1 = (61+62)/2 = 61.5
Q2 = (70+72)/2= 71
Q3 - Q1 = 71 - 61.5 = 9.5
Thus, the median of the data is 64, the value of Q1 is 61.5, the value of Q2 is 71, and the value of Q3-Q1 is 9.5
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Answer:
Use the drop-down menus to identify the key values.
What is the median? ✔ 64
What is Q1, the median of the lower half of the data? ✔ 61.5
What is Q3, the median of the upper half of the data ✔ 71
What is the interquartile range, or Q3 – Q1? ✔ 9.5
Step-by-step explanation:
edge 2023
Subtract and simplify. What is the restriction on x?
[tex]x\neq[/tex]
[tex]\frac{2}{x^2-25} - \frac{3x}{x^2-4x-5}[/tex]
[tex]\cfrac{2}{x^2-25}~~ - ~~\cfrac{3x}{x^2-4x-5}\implies \cfrac{2}{\underset{\textit{difference of squares}}{x^2-5^2}}~~ - ~~\cfrac{3x}{(x+1)(x-5)} \\\\\\ \cfrac{2}{(x-5)(x+5)}~~ - ~~\cfrac{3x}{(x+1)(x-5)}\implies \cfrac{(x+1)2~~ - ~~(x+5)3x}{\underset{\textit{using this LCD}}{(x+1)(x-5)(x+5)}} \\\\\\ \cfrac{2x+2-3x^2-15x}{(x+1)(x-5)(x+5)}\implies \cfrac{2-3x^2-13x}{(x+1)(x-5)(x+5)}\qquad x\ne -1,\pm 5[/tex]
why can't it be -1 or 5 or -5? if it ever does become that, the denominator will go poof and the fraction undefined.
Select the correct answer.
Which graph shows a function and its inverse?
Answer:
See below
Step-by-step explanation:
If a function is bijective and 1-to-1, then it will have an inverse function. Consequentially, they will be symmetrical about the line [tex]y=x[/tex], which is a diagonal line passing through the origin at a 45 degree angle.
None of the graphs look correct though, but it also seems that some options are cut out, so make sure to choose the correct graph given the characteristics I've previously described.
Answer:b
Step-by-step explanation:
Help me please it’s l haven’t learnt it
the horizontal axis is the bottom (____), the title is usually hiden in the task name
109, 94, 87, 103, 89, 112, 98, 115, 99 Find the minimum.
ANSWER ASAP PLEASE
Answer:
The minimum is 87
Step-by-step explanation:
The minimum is the lowest number that you can see. 87 is the minimum because it is the lowest of all numbers listed
Answer:
87
Step-by-step explanation:
Put them in order
87, 89, 94, 98, 99, 103, 109, 112, 115
Minimum = The least
The least = 87
please help ASAP
tthankyou
answer is below in attachment
Answer:
10, 13, 15.Step-by-step explanation:
Solve all possible equations:
8 + 10 + 1 + 9 + 2Adding them all up we get:8 + 10= 18 + 1= 19 + 9= 28 + 2= 3030 < 40.10 will be used for the next equation:
2nd equation:
10 + 12 + 1 + 13 + 2Solve:10 + 12= 22 + 1= 23 + 13= 36 + 2= 3838 < 40.13 will be used for the final equation:
Final equation:
10 + 13 + 1 + 15 + 2= 10 + 13= 23 + 1= 24 + 15= 39 + 2= 41.41 > 40.The 3 digits are 10, 13, 15.K/2 =9
what is the step by step?
Answer: k=18
Step-by-step explanation:
1) Multiply all terms by the same value to eliminate fraction denominators: 2•k/2=2•9
2) Cancel multiplies terms that are in the denominator: k=2•9
3) Multiply the numbers: k=18
4) Get the solution
20 ÷ (5x2/5) + 3 help please
Answer:
13
Step-by-step explanation:
hey take a deep breath! you got this!
it's really simple if you use the format PEMDAS
P- parentheses
E-exponents
M-Muliplication
D-divison
A-addition
S-subtraction
or mostly used
P
E
M or D
A or S
(depends from which side just start Ex 2-1+8 you wouldn't do the plus first but the subtraction because we're going left to right. If it's 2x8-6+10 then we do multiplication first cause that step comes first, the minus then addition! hope that isn't to confusing!)
ok so our equation is 20÷(5x2/5)+3
whats our first step? remember PEMDAS!
Its Parenthesis! so first we do the equation (5x2/5)
since multiplication and division are in the same "category" we go left to right
so first we do 5x2=10 and then we do 10/5 which is equal to 2!
ok now we add back the rest of our equation!
20÷2+3 since we already solved the Parenthesis
now what come first? division or addition?
its division because.. once again... PEMDAS!!
So now we do 20÷2 which is equal to 10!
now whats left is to add 3!
and 10+3 is equal to .... 13!!!
I know it seems like a lot but you'll get the hang of it! just take it easy and take your time :)
8. Use the compound-interest formula to find the account balance A, where P is principal, r is interest rate, n is number of compounding periods per year, t is time, in years, and A is account balance.
Answer:
Step-by-step explanation:
[tex]P = 56,150(1 + \frac{0.095}{4})^{ 4(2.5)[/tex]
≈ $71005
You are planting a vegetable garden on a plot of land that is a sector of a circle, as shown below.
You want fencing along only the curved edge of the garden.
a. Use the figure to find the length of fencing you will need.
15 ft
75°
b. How much area will be available for planting?
Answer:
(a) 19.63 ft
(b) 147.26 ft^2
Step-by-step explanation:
(a) 75/360 degrees . 2 . pi . 15 = 19.63
(b) 75/360 degrees. pi . 15^2 = 147.26
Answer:
a) 19.63 ft (2 dp)
b) 147.26 ft² (2 dp)
Step-by-step explanation:
To find the length of the curved fence, use the formula for arc length of a circle.
To find the area of the vegetable garden, use the formula for area of a sector of a circle.
Formula
[tex]\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right)[/tex]
[tex]\textsf{Area of a sector}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]
[tex]\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in degrees)}[/tex]
Calculation
Given:
[tex]\theta[/tex] = 75°r = 15 ft[tex]\begin{aligned}\implies \textsf{Arc length} &=2 \pi (15)\left(\dfrac{75^{\circ}}{360^{\circ}}\right)\\ & = 30 \pi \left(\dfrac{5}{24}\right)\\ & = \dfrac{25}{4} \pi \\ & = 19.63\: \sf ft\:(2\:dp)\end{aligned}[/tex]
[tex]\begin{aligned} \implies \textsf{Area of a sector}& =\left(\dfrac{75^{\circ}}{360^{\circ}}\right) \pi (15)^2\\& = \left(\dfrac{5}{24}\right)\pi \cdot 225\\& = \dfrac{375}{8} \pi\\& = 147.26\: \sf ft^2 \:(2\:dp)\end{aligned}[/tex]
By about how many years did life expectancy increase in the us between 1960 and 2010? 7 years 17 years 27 years
Answer:
The closest answer would be 7 years
Step-by-step explanation:
In the '60s, the life expectancy was approximately 70 years, and in 2010 it was approximately 78.
Answer: answer would be 7 years
Step-by-step explanation:
just did it
What is Surface area for 5ft, 16ft, and 8ft
The surface area of the given rectangular prism is:
S = 496 square feet.
How to find the surface area?
For a rectangular prism of length L, width W, and height H is:
S = 2*(L*W + W*H + L*H).
In this particular case, we have:
L = 5ftW = 16ftH = 8ft.If we replace that in the surface area equation, we will get:
[tex]S = 2*(5ft*16ft + 5ft*8ft + 16ft*8ft) = 496 ft^2[/tex]
The surface area of the rectangular prism is 496 square feet.
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