The dimensions of the original sandbox was 2 ft X 2 ft..
Let, The original has a length of Xft and a width of Xft
The area of original sandbox is X^2 ft^2
As per given statement,
The new sandbox would have a length of (X+4)ft and a width of (X+5)ft
So, the area of new sand box would be: (X+4)(X+5) ft^2
Given, the area of new sandbox will be 38 square feet greater than the area of the original sandbox.
so,
X^2+38 = (X+4)(X+5)
or, X^2+38 = X^2 + 9X + 20
Eliminating X^2 from both side
0r, 9X+ 20 = 38
0r, 9X = 18
0r, X = 18/9 = 2
So, we assumes that the original has a length of Xft and a width of Xft
then the dimensions of the original sandbox was 2 ft by 2 ft.
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There are four types of candy in a bag – starbursts, jolly ranchers, snickers and milky ways. At random, the probability of picking a starburst is 2/5, a jolly rancher is 18% and a milky way is 0.2. What is the probability of picking a snickers at random? * A. 22% B. 23% C 21% D 20%
Answer:
A) 22%
Step-by-step explanation:
probabilities of selecting:
starburst = .40
jolly = .18
milky = .20
These probabilities total 78% which means the other 22% must be what remains for snickers.
35PTS 35PTS answer the whole question, don’t explain.
The equation of the straight line in slope - intercept form will be y = (1/4)x - 2.
What is the slope - intercept form of a line?The slope - intercept form of a line is -
y = mx + c ... { 1 }
where -
{m} is slope of line.
{c} is y - intercept of the line.
Given is the slope of the line as {m} = 1/4 and the y - intercept as {c} = -2.
From Eq { 1 }, we can write the slope - intercept form as -
y = mx + c
y = (1/4)x - 2
Therefore, the equation of the straight line in slope - intercept form will be y = (1/4)x - 2.
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What is the coefficient of y in the expression 2y 5?
The coefficient of Y is 10 in 2y 5.
Any integer or symbol that multiplies the variable of a single term or the terms of a polynomial to represent a constant value is known as a coefficient in mathematics. In some phrases, a letter might be substituted for the usual number. For example, x is the variable and a and b are the coefficients in the formula: ax2 + bx + c.
What is a coefficient?
A coefficient is a quantity or number that is coupled with a variable. Frequently, an integer is multiplied by the variable and written next to it. The variables that don't have a corresponding number are presumed to have a coefficient of 1.
10 is the Y coefficient in 2y 5.
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What number will be multiplied to give -100 and be added to give 8
Answer:
? whats the number your multiplying by
Step-by-step explanation:
Answer:
-12.5
Step-by-step explanation:
Hope it helps
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In 1960 the population of Indoneia wa 88 million in 2010 the population of Indoneia wa 240 million etimate the population in 2016 if the rate of if the rate of increae doe not change
1.75% is rate of increse does not change.
What's the math rate?
An unusual ratio in which the two parts are expressed in distinct units is called a rate. The price is 69 for 12 ounces, for instance, if a 12-ounce can of maize costs that much.
This is not a proportion of two comparable units, like shirts. This ratio combines the values of the two dissimilar units, cents and ounces.
1960 = 88,000,000
2010 = 242,000,000
formula: (new-old)/old* 100
(242,000,000 - 88,000,000)/88,000,000 * 100
154,000,000/88,000,000*100
1.75*100
= 1.75%
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What is the volume?
8 m
2 m
1 m
Answer:
16
Step-by-step explanation:
8*2*1=16
Find out the answer to 4x+12=63
[tex]12 \frac{3}{4} [/tex]
or 12.75
Answer:
x=12.75
Step-by-step explanation:
Follow the steps within the image.
-Hope this helped
How much more rain fell in June than in August? Simplify the answer.
June: 5.75
August: 2.1
7.5% of what number is 15?
Help please
Answer:
7.5% of x = 15
75%x=15
15/75%=x
200=x
Therefore
x=200
A baker places 4 muffins in each box. Which is the total number of muffins in 8 boxes?
Answer: 32
Step-by-step explanation: 4 x 8 = 32 . I am concerned how simple this is ;-;
Answer:
32
Step-by-step explanation:
each boxes have 4 muffins
so,in 8 boxes
by question
8×4=32
Help ASAP!!!!!!!!!!!!!!!!
The correct order of match is 1-a, 2-b, 3-d and 4-c.
What are conic sections?The term "conic" refers to a curve formed by the intersection of a right circular cone with a plane. In Euclidean geometry, it has distinctive features. The cone is split into two nappes, the upper nappe and the lower nappe, at its vertex.
A plane crosses the cone, and the resulting section is referred to as a conic section.
Given the equations,
the equation for parabola is given by
(y - b)² = 4p(x - a)
Vertex is (a,b)
equation 2 follows the same
x = -2(y - 4)² + 3
this is the equation for parabola.
Equation for ellipse is
(x − a)²/h² + (y − b)²/k² = 1
the equation x²/4 + (y - 8)²/144 = 1
(x/2)² + ((y - 8)/12)² = 1
the equation is same is equation for ellipse,
Equation for circle
(x - h)² + (y - k)² = r²
fourth equation
(x - 9)² + (y + 2)² = 7²
is same as equation of circle
Equation for hyperbola
(x − a)²/h² − (y − b)²/k² = 1
equation (x - 3)²/5 - (y + 4)²/25 = 1
is same as equation of hyperbola.
Hence the correct order is a, b, d, and c.
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find the sum of 3x, (1-6x), 4x and x
Answer:
1 + 2x
Step-by-step explanation:
3x + 1 - 6x + 4x + x ← collect like terms
= 1 + 2x
Sum of 3x, (1 - 6x), 4x and x is 2x + 1.
What is sum?A summation, also called a sum, is the result of arithmetically adding numbers or quantities. A summation always contains a whole number of terms. There can be as few as two terms, or as many as a hundred, a thousand, or a million. Some summations contain infinitely many terms.
A sum is the result of an addition.
Sum is a way of putting all things together. The sum brings two or more numbers together to make a new total.
According to the question
We have to find the sum of 3x, (1 - 6x), 4x and x
A sum is the result of an addition.
Sum = 3x + (1 - 6x) + 4x + x
Sum = 3x + 1 -6x + 4x + x
Sum = 8x - 6x + 1
Sum = 2x + 1
Hence,
Sum of 3x, (1 - 6x), 4x and x is 2x + 1.
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Question 3(Multiple Choice Worth 5 points) (05.01)A window is 4 feet wide and 8 feet tall. A rectangle is shown. The length of the rectangle is labeled 4 feet. The width of the rectangle is labeled 8 feet. A manufacturer wants to use a scale factor of 1.5 to enlarge a window. What will the area of the window be after it is enlarged
Answer: 72 feet²
Step-by-step explanation: Area scale factor = 1.5² = 2.25 Area of the window after it is enlarged = Original area × 2.25 The original area = 8 feet × 4 feet = 32 feet² Area of the window after it is enlarged = 32 feet² × 2.25 = 72 feet²
Please help me I don’t understand it at all
Answer:
130,a circle is 360 around so minus 230
Which table shows the function y = -2x + 4?
Answer:
Slope = -2 Y intercept is (0,4)
Step-by-step explanation:
8.3g of sugar is needed for every cake made .how much sugar is needed for 5cakes
Answer:
41.5 g
Step-by-step explanation:
This is correct! mark me brainliest!
Answer:
8.3 x 5 = 41.5
Step-by-step explanation:
standard algorithm- 3 x 5=15 1 on top 5 stays on bottom
5 x 8 = 40
40+1 = 41
415
then add decimal dot after one number
hope this helps :P
help quick its due in 15 minutes
2(x + 7) =
7th grade math
Answer:
2x+14
Step-by-step explanation:
2(x+7)
2x+2x7
then you have your answer 2x+14
This is mad confusing
Answer: 112 degrees
Explanation:
By the alternate interior angles theorem, m<CAD=40 and m<ACD=28. The quadrilateral is divided into two triangles. The sum of the angles of a triangle is equal to 180 degrees. Now that you know the measurements of two out of the three angles, you can add them up and subtract them from 180.
180-(40+29)=112
Solve the following system of equations graphically on the set of axes below.
y = x + 8
y = -1/2x+5
Plot two lines by clicking the graph. Click a line to delete it.
By graphing both equations on the same axis and findin where do they intercept, we willsee that the solution is (-2, 6).
How to solve the system of equations?Here we have the following system of equations:
y = x + 8
y = -(1/2)x+5
And we want to solve it graphically.
To solve it in that way, we just need to graph both equations on the same coordinate axis and find the ponit where the graphs intercept, that point will be the solution for the system.
The graph of the system of equations can be seen in the image below:
There, we can see that the lines intercept at the point (-2, 6), so that is the solution of our system.
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What is the volume of this sphere?
Use 3.14 for pI and round to the nearest hundredth when
necessary.
Answer:
choice 3) 11,488.21 cm³
Step-by-step explanation:
r= 28/2 = 14
volume = 4/3πr3 = 4/3(3.14)(14³) = 11,488.21 cm³
Find the surface area of a cube with a side length of 1 in
Answer:
6
Step-by-step explanation:
If u add up all sides of a cube, you get 6 because there's 6 sides.
Answer:
6 in
Step-by-step explanation:
There are 6 sides of a cube and each is 1 in so it adds up to 6 in
2. A chef can make 12 meals with 3 pounds of steak. If he plans to make 250 meals and the steak costs $6.60 per pound, how much will the chef spend on steak
The amount of money which the chef spends on steak as calculated from the data given is found to be $412.50.
Now as we know that ,
for a meal of 12 meals the chef uses 3 pounds.
Therefore , for a meal of 250 meals the chef uses x pounds
Now , we will solve this proportion.
x=(250 meals*3 pounds)/12 meals
= 62.5 pounds
Now , cost of steaks = 6.60 dollars.
Therefore cost of 62.5 pounds of steaks will be ,
62.5 pound x $ 6.60/pound
= $ 412.50
A comparison between two numbers is called a proportion. If two sets of provided numbers increase or decrease in the same ratio, then the ratios are said to be directly proportional to each other.
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F(1)=120,f(n)=f(n-1)+_n>_2
The value of next two terms are,
⇒ 0 and - 60
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
The values are,
⇒ f (1) = 120,
⇒ f (2) = 60
And, The function is,
⇒ f (n) = f (n - 1) + ___
For n ≥ 2
Now,
Since, The values are,
⇒ f (1) = 120,
⇒ f (2) = 60
And, The recursive formula is,
⇒ f (n) = f (n - 1) + b
For n ≥ 2
Substitute n = 2;
⇒ f (2) = f (2 - 1) + b
⇒ 60 = f (1) + b
⇒ 60 = 120 + b
⇒ b = 60 - 120
⇒ b = - 60
So, The recursive formula is,
⇒ f (n) = f (n - 1) - 60
Substitute n = 3;
⇒ f (3) = f (3 - 1) - 60
⇒ f (3) = f (2) - 60
⇒ f (3) = 60 - 60
⇒ f (3) = 0
Substitute n = 4;
⇒ f (4) = f (4 - 1) - 60
⇒ f (4) = f (3) - 60
⇒ f (4) = 0 - 60
⇒ f (4) = - 60
Thus, The next two term are 0 and - 60.
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Factor completely. 30x^2y + 5x 15xy
Answer: 105x²y
Step-by-step explanation:
in triangle ABC,AC=BC,CD is perpendicular to AB with D belonging to AB,AB=4 in. and CD=\sqrt(3) in.find AC
The length of the triangle ΔABC will be √7 inches.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
In triangle ΔABC, AC = BC, the CD is perpendicular to AB with D belonging to AB, AB = 4 inches, and CD = √(3) inches.
The CD is half of the length AB. Then we have
CD = AB / 2
CD = 4 / 2
CD = 2 inches
Then the length of AC is calculated as,
h² = (√3)² + (2)²
h² = 3 + 4
h= √7 inches
The length of the triangle ΔABC will be √7 inches.
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If it took a speed-boat 9 hours to travel
a distance of 1 080 km, what was its
average speed, in kmh-¹?
Answer:
120 km/h
Step-by-step explanation:
average speed=total distance÷time
=1080÷9
=120 km/h
Name a pair of vertical angles and a pair of adjacent angles in each figure.
On solving the provided question we cans ay thatVertical Angles: TZU, XZW Adjacent Angles: TZU, UZV are Vertical angle and adjacent angle.
What is Vertical angle and adjacent angle,?
Vertical angles are two angles that share the same vertex and are formed by two intersecting lines. They are congruent (i.e. have the same measure) and are opposite each other
Adjacent angles are two angles that share a common vertex and side, but do not overlap. They are also called "next to" or "sharing an arm" angles.
Fig 1:
Vertical Angles: NMJ, LMK
Adjacent Angles: NMJ, JMK
Fig 2:
Vertical Angles: DEA, CEB
Adjacent Angles: DEA, AEB
Fig 3:
Vertical Angles: LQM, PQN
Adjacent Angles: LQM, MQN
Fig 4:
Vertical Angles: TZU, XZW
Adjacent Angles: TZU, UZV
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May someone help me with this :)
Answer:
I think it would be 23
Step-by-step explanation:
not sure hope this helps if not leave the answer in the comments, have a good day.
Sum of all angles of a triangle = 180°
Let the angle be x.
So,
x+104°+53° = 180°
x + 157° = 180°
x = 180° - 157°
x = 23°
So, the unknown angle is of measure 23°.
Find the sum of all natural numbers such that they are 5 times bigger than their last digit.
A. 25
B. 75
C. 125
D. 276
E. 389
The sum of the natural numbers is (a) 25
How to determine the sum of the natural numbers?From the question, we have the following parameters that can be used in our computation:
Number type = natural number
Condition = 5 times bigger than their last digit
This means that
Number = 5 * Last digit
Because the number is a natural number, then the number cannot end in 0
This is so because 0 is not a natural number
Solving further, the last digit of the number is at most, 9
Using the above as a guide, we have the following:
The number is at most 45 i.e. 5 * 9
Also, it means that it can not have more than 2 digits.
The above highlights in a nutshell is that the number is a multiple of 5 that does not end in 0 and the last digit is 5
Since the last digit is 5, then we have the number to be 25 i.e. 5 * 5
Hence, the number is (a) 25
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What does log of e mean?
The Power e is to which a number should be raised to get the specified number is called the logarithm of that specific number. For example, the logarithm to the base of 10 of 1000 is 3 because 10 raised to the power 3 is 1000.
The logarithmic function is the reverse of the Mathematical function of the exponential function. The logarithmic function is log ax = y is equal to x = ay.
There are mainly two types of logarithms normally used in Mathematics. They are one is common logarithms and second natural logarithms.
The log number ‘e’ is an irrational Mathematical constant and is mostly used as the base of natural logarithms. The number ‘e’ is the only unique number in mathematics whose value of natural logarithm is equal to unity.
The value of log ‘e’ was calculated in 1683 by Jacob Bernoulli.
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