Answer=5288
Step-by-step explanation: I got it know so basically (18*274) + (89*4) which equals 4932+356=5288
Answer:
5288 wheels
Step-by-step explanation:
Wheel count: 18(274) + 89(4) (since regular trucks have 4 wheels)
This comes to 4932 + 356, or 5288 wheels in the lot.
How many cubes are inside the rectangular prism?
A) 21 cubes
B) 28 cubes
C) 36 cubes
D) 42 cubes
Answer:
D.) 42 cubes
Step-by-step explanation:
Instead of counting each cube, you can find the volume.
The formula to find volume is ( Volume = Length x Width x Height)
( V= 2 x 7 x 3)
2 x 7 x 3 = 42 cubes
I hope this helped you ; )
Answer:
21
Step-by-step explanation:
How do businesses help a country’s economy?
A. By investing in goods and services
B. By increasing the unemployment rate
C. By making profits
Answer:
A
Step-by-step explanation:
Answer:
Option A, By investing in goods and services
, is the right answer.
Step-by-step explanation:
Option A, investing in goods and services is the correct answer because the investment on goods and services will generate employment in the country and person will be able to earn more and consequently the expenditure will also increase. Moreover, if there will be more production of goods and services then the country’s GDP and economy will boost.
Mr Turner bought stock for $15,000. If the value of the stock decreases 4% each year when will it be worth 80% of original price?
Answer:
[tex]5.5\ years[/tex]
Step-by-step explanation:
we know that
In this problem we have a exponential function of the form
[tex]f(x)=a(b^{x})[/tex]
where
x is the time in years
f(x) is the value of the stock
a is the initial value
b is the base
r is the rate
b=(1-r)
we have
[tex]a=\$15,000[/tex]
[tex]r=4\%=4/100=0.04[/tex]
[tex]b=(1-0.04)=0.96[/tex]
substitute
[tex]f(x)=15,000(0.96^{x})[/tex]
80% of original price is equal to
[tex]f(x)=0.80(15,000)=12,000[/tex]
so
For f(x)=12,000 ------> Find the value of x
[tex]12,000=15,000(0.96^{x})[/tex]
[tex](12/15)=(0.96^{x})[/tex]
Apply log both sides
[tex]log(12/15)=log(0.96^{x})[/tex]
[tex]log(12/15)=(x)log(0.96)[/tex]
[tex]x=log(12/15)/log(0.96)[/tex]
[tex]x=5.5\ years[/tex]
A certain shampoo is available in two sizes. A 14.2- ounce bottle costs $4.98. A 23.7- ounce bottle costs $6.97. Find the unit price for each size. Then state which size is the better buy based on the unit price. Round your answers to the nearest cent
Answer:
the 23.7 ounce bottle is the better price because the 14.2 ounce bottle is $0.35 and the 23.7 ounce bottle is $0.29.
Step-by-step explanation:
you simply divide the cost by the ounces and get the unit price
To find the unit price for each size, divide the cost of the shampoo by the number of ounces. The 23.7-ounce bottle is the better buy based on the lower unit price.
Explanation:To find the unit price for each size, divide the cost of the shampoo by the number of ounces in each bottle. For the 14.2-ounce bottle, the unit price is $0.35 per ounce ($4.98 / 14.2). For the 23.7-ounce bottle, the unit price is $0.29 per ounce ($6.97 / 23.7).
To determine which size is the better buy based on the unit price, compare the unit prices. Since the 23.7-ounce bottle has a lower unit price ($0.29 per ounce) compared to the 14.2-ounce bottle ($0.35 per ounce), the larger size is the better buy.
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39.7 + b + 30.1 = 165.288
For this case we have the following equation:
[tex]39.7 + b + 30.1 = 165.288[/tex]
We must find the value of the variable "b":
We follow the steps below:
We add similar terms:
[tex]39.7 + 30.1 + b = 165.288\\69.8 + b = 165.288[/tex]
We subtract 69.8 on both sides of the equation:
[tex]b = 165.288-69.8\\b = 95,488[/tex]
Thus, the value of b is 95,488
Answer:
[tex]b = 95,488[/tex]
If each term of a sequence changes by a common difference,d, what would a general rule for this type of sequence
A.) a(n)=(d)n-1
B.) an=an-1+d
C.) an=an-1+an-2
D.) an=n-1+an-2+d
===================================================
Explanation:
The idea is that for any term, we add on the common difference d to get the next term. For example, the sequence {3, 7, 11, 15, 19, 23, ...} has us add on 4 each time so d = 4 in this case.
3+4 = 7
7+4 = 11
11+4 = 15
and so on. The nth term is represented by the notation[tex]a_n[/tex] while the term just before the nth term is written as [tex]a_{n-1}[/tex]
So adding d onto the term just before the nth term gets us the nth term which is how we end up with [tex]a_n = a_{n-1}+d[/tex]
This is the recursive form of the arithmetic sequence. The closed form is written as [tex]a_n = a_1 + d(n-1)[/tex]
Write this number in expanded notation 1,948,447
Answer:
1 x 1,000,000 + 9 x 100,000 + 4 x 10,000 + 8 x 1,000 + 4 x 100 + 4 x 10 + 7 x 1
Hope I helped : )
Step-by-step explanation:
The place value chart can help us to write a number in expanded notation.
When we put 1,948,447 into the place value chart, we can recognize that our number is equal to 1 million + 9 hundred thousands + 4 ten thousands + 8 thousands + 4 hundreds + 4 tens + 7 units.
(25 POINTS!!)What is the equation of the line that passes through the points (15,9) and (-2,9)?
I need this answered with in the next 20 minutes so someone please help :,D
The answer is gonna be a equation like y=
Let's use the point-slope formula...
y-y1=m(x-x1)
m is the slope.
y--9=7(x--2)
Subtracting a negative number is the same as adding a positive number...
y+9=7(x+2)
y+9=7x+14
Let's subtract 9 from both sides...
-9+y+9=7x+14-9
y=7x+5
The formula is now in the format of...
y=mx+b
This is known as slope-intercept.
m is the slope.
b is the y-intercept, the value of y when x=0.
Standard formula is...
Ax+By=C
Neither A nor B equal zero.
A is greater than zero.
y=7x+5
Let's move 7x to the left side of the equation. It becomes negative.
-7x+y=5
Let's multiply both sides by -1 to render A greater than zero.
-1(-7x+y)=(5)(-1)
7x-y=-5
This is the equation in standard form.
[tex]
\text{d stands for distance between two points} \\
d(A, B)=\sqrt{(\Delta{x})^2+(\Delta{y})^2} \\
\text{or simply} \\
d(A, B)=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\
\text{now put in the data} \\
d(A, B)=\sqrt{(-2-15)^2+(9-9)^2} \\
d(A, B)=\sqrt{(-17)^2} \\
d(A, B)=\boxed{17} \\
[/tex]
895 472 nearest 100000
The process of rounding 895,472 to the nearest 100,000 involves examining the ten thousands place of the number. Given it's 9, the number is rounded up to 900,000.
Explanation:The question is asking to round the number 895,472 to the nearest 100,000. To do this, you should look at the ten thousands place of the number, which is 9. If this digit is 5 or greater, round the hundreds of thousands place up. If it is less than 5, round down. In this case, since the ten thousands place is 9, we round 800,000 up to 900,000. Therefore, 895,472 rounded to the nearest 100,000 is 900,000.
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In which set of ordered pairs ,(x,y) Is y NOT a function of x?
Answer:
B. I belive ^_^
Step-by-step explanation:
Answer:
The third answer choice.
Step-by-step explanation:
If a function has more than one ordered pairs with the same x value (in this case it is x= 4), then it cannot be a function :)
what is the value of x, 6x+2=180
Answer: [tex]x=\frac{89}{3}[/tex], or [tex]29\frac{2}{3}[/tex]
[tex]\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}\\6x+2-2=180-2\\6x=178[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}6\\\frac{6x}{6}=\frac{178}{6}\\[/tex]
[tex]x=\frac{89}{3}[/tex]
Hope this helps and have a great day!!!
Answer:
x = 29 2/3
Step-by-step explanation:
6x + 2 = 180
6x = 180 - 2
6x = 178
x = 178 ÷ 6
x = 89/3
x = 29 2/3
Find the Area. The figure is not drawn to scale.
Answer:
96
Step-by-step explanation:
a^2 + 8^2 = 10^2
a^2 = 36
a = 6
6 * 16 = 96
Two numbers have a difference of 28. What is the sum of their squares if it is a minimum?
Answer:
392
Step-by-step explanation:
Squares get really big very quickly, so you don't want to use any bigger numbers. The biggest total of the squares would be from
using
1 and 28
1+28
2=1+784=785
2 and 27=4+729=733
142+14
2=196+196=392
The greater the difference between the two numbers, the bigger one of the numbers is going to be.
Therefore use two numbers with the smallest difference between them which will be
14 and 14
The minimum value of sum of their square is 392.
What is an equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
Let the Bigger no. = x
Let the Smaller no. = y
x - y = 28 (given)
(x - y)^2 = 28^2
x^2 + y^2 - 2xy = 784
x^2 + y^2 = 784 + 2xy
Let the value of x = 14 and y = -14 (By trial and error)
Hence, the minimum value of sum of squares will be 14^2 + 14^2 = 392.
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The equation of a graph is 4x - 3y = 5. What is the x-intercept?
Answer:(5/4,0)
Step-by-step explanation:
plz help
x+2y+z=9
x+y-z=5
3x-y+2z=12
solve for x, y, and z
solve with substitution
[tex]x2y + z = 9 \\ \\ 1. \: x + 2y + z + - 2y = 9 + - 2y \\ x + z = - 2y + 9 \\ 2. \: x + z + - z = - 2y + 9 + - z \\ x = - 2y - z + 9 \\ \\ \\ x + y - z = 5 \\ \\ 1. \: x + y - z + - y = 5 + - y \\ x - z = - y + 5 \\ 2. \: x - z + z = - y + 5 + z \\ x = - y + z + 5 \\ \\ \\ 3x - y + 2z = 12 \\ 1. \: 3x - y + 2z + y = 12 + y \\ 3x + 2z = y + 12 \\ 2. \: 3x = y - 2z + 12 \\ 3. \: \frac{3x}{3} = \frac{y - 2z + 12}{3} \\ x = \frac{1}{3} y + \frac{ - 2}{3} z + 4[/tex]
Help me please!!!!! Thank you
Answer:
15/2 in³
Step-by-step explanation:
The formula for the vol. of a pyramid
is
V = (1/3)(area of base)(height of pyramid)
Here, the volume is:
V = (1/3)( [1/2][5 in][9 in] )·(10 in)
= (9/3)(5/2)(10) in³
= 450/6 in³ = 150/2 in³ = 75 in³ Volume of the pyramid
Answer:
75 in³Step-by-step explanation:
The formula of a volume of a pyramid:
[tex]V=\dfrac{1}{3}BH[/tex]
B - area of a base
H - height
In a base we have the right triangle with legs 9in and 5in.
The formula of an area of a right triangle:
[tex]A=\dfrac{ab}{2}[/tex]
ab - legs
Substitute:
[tex]B=\dfrac{(5)(9)}{2}=\dfrac{45}{2}\ in^2[/tex]
The height H = 10 in.
Calculate the volume:
[tex]V=\dfrac{1}{3\!\!\!\!\diagup_1}\left(\dfrac{45\!\!\!\!\!\diagup^{15}}{2\!\!\!\!\diagup_1}\right)(10\!\!\!\!\!\diagup^5)=(1)(15)(5)=75\ in^3[/tex]
The radius of a circle is 10. Using π, which equation expresses the ratio of the circumference of the circle to the circle's diameter?
Answer:
Step-by-step explanation:
ab=6cm Ac=12 calculate the lenght of cd
This problem involves the uses of the Pythagorean Theorem as well as the use of Sine.
To start we need to identify what we know and what we don't know. We know that there are two triangles. We are given 2 sides lengths and an angle in one and only an angle in the other. They share one side meaning when we are given 2 sides in one triangle it will be easy to get the third side. What we don't know is the side length of CB DB or CD. We need to find CB in order to find CD.
Pythagorean Theorem for side length CB:
12^2-6^2=√108
√108=10.4 (average)
So CB is equal to 10.4
Sine Calculation for side length CD:
Since we have angle 56* we will use the length we found which will be the opposite side from the angle and then input x for our hypotenuse CD in order to solve.
sin 56* = 10.4/x
sin 56* × x = 10.4/x × x
sin 56*x = 10.4
/sin 56* /sin 56*
x = 12.544....
or 12.6 (average)
So, to conclude, our answer for CD is 12.6cm.
Hope I helped!
Answer:
12.7 cm
Step-by-step explanation:
Given information: AB=6cm AC=12cm.
Pythagoras theorem: In a right angle triangle
[tex]hypotenuse^2=base^2+perpendicular^2[/tex]
Using Pythagoras in triangle ABC we get
[tex](AC)^2=(AB)^2+(BC)^2[/tex]
[tex](12)^2=(6)^2+(BC)^2[/tex]
[tex]144-36=(BC)^2[/tex]
[tex]108=(BC)^2[/tex]
Taking square root on both sides.
[tex]\sqrt{108}=BC[/tex]
Law of sine:
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
Using law of sin we get
[tex]\dfrac{CD}{\sin (90)}=\dfrac{\sqrt{108}}{\sin (55)}[/tex]
[tex]\dfrac{CD}{1}=\dfrac{\sqrt{108}}{\sin (55)}[/tex] [tex][\because \sin 90^{\circ}=1][/tex]
[tex]CD=12.6866616739[/tex]
Approx the data to three significant figures.
[tex]CD\approx 12.7[/tex]
Therefore, the length of CD is 12.7 cm.
Draw a lie plot to correctly display the data 1,1,1,1,3,3,4,4,4,8,12
To make a line plot, plot all the numbers you see. Then plot how many of each number you see. For example, there are 4 one's in the data, so draw 4 x's above 1. I hope this helps!
Need Help Assappp 10 points
5(2x − 3) = 5
How many solutions does this equation have?
What are the solutions to this equation
Please show your work
Answer:
Step-by-step explanation:
The only solution is x=2
5(2x-3)=5
Divide each term by 5 and simplify
2x−3=12x-3=1
Move all terms not containing x
to the right side of the equation.
2x=42x=4
Divide each term by 2
x=2
Answer:
The given solution has only one solution which is x=2
Step-by-step explanation:
Given the equation
[tex]5(2x-3)=5[/tex]
we have to find the solution of above equation.
Equation is
[tex]5(2x-3)=5[/tex]
Divide by 5 throughout the equation
[tex]2x-3=\frac{5}{5}=1[/tex]
[tex]2x-3=1[/tex]
Adding 3 on both sides
[tex]2x=4[/tex]
Dividing throughout by 2, we get
[tex]x=\frac{4}{2}=2[/tex]
Hence, the given solution has only one solution which is x=2
Find the sum in lowest terms.
3/16 + 11/16
14/16
Then reduced it would be
7/8 you leave 16 and add 11 to 3 and get that number
Since the denominators are the same, add the numerators. 3 + 11 = 14 so the new fraction is 14/16. Divide the numerator and the denomintor by 2 (because 2 goes into both evenly) to get 7/8
Hope this helps!
multiply each set of numbers and match it with it’s product
Answer:
1. [tex]1. (\frac{5}{16}) (-2) (-4) (\frac{-4}{5})= -2 \\2. (2\dfrac{3}{5}) (\frac{7}{9})=(\frac{91}{45})\\3. (\frac{2}{3})(-4)(9)= -24\\4. (\frac{-3}{4}) (\frac{7}{8})=(\frac{-21}{32})[/tex]
Step-by-step explanation:
These are simple multiplication questions of fractions. We multiply numerator with numerators and denominators with denominators. If numerator and denominator is both divisible by same number we can divide them for simplification.
1. [tex](\frac{5}{16}) (-2) (-4) (\frac{-4}{5})[/tex]
[tex]=(\frac{-10}{16}) (-4) (\frac{-4}{5})\\=(\frac{40}{16}) (\frac{-4}{5})\\=(\frac{-160}{80}) \\dividing\,\, numerator\,\, and\,\, denominator\,\, by\,\, 80\,\,\\= -2[/tex]
2. [tex](2\dfrac{3}{5}) (\frac{7}{9})[/tex]
Converting mixed form into fraction form,
[tex]=(\frac{13}{5})(\frac{7}{9})[/tex]
Multiplying numerators with each other and denominators with each other
[tex]=(\frac{13*7}{5*9})\\=(\frac{91}{45})[/tex]
3. [tex](\frac{2}{3})(-4)(9)[/tex]
Multiplying these terms with each other:
[tex]=(\frac{2*-4}{3})(9)\\=(\frac{-8}{3})(9)\\=(\frac{-8*9}{3})\\=(\frac{-72}{3})\\[/tex]
Dividing numerator and denominator with 3
[tex]=-24[/tex]
[tex]4. (\frac{-3}{4}) (\frac{7}{8})\\=(\frac{-3}{4}) (\frac{7}{8})\\=(\frac{-3*7}{4*8})\\=(\frac{-21}{32})[/tex]
What is the value of t?
7 × 2 × 11 = t × 11
a.154
b.22
c.15
d.14
Answer:
The answer is going to be D) . 14
Step-by-step explanation:
Hello!
Answer:
D
Step-by-step explanation:
7.2.11 = 11.t
14.11 = 11.t
154 = 11.t
14 = t
Write the expression in terms of cosine.please help.
Answer:
cos13°
Step-by-step explanation:
Using the cofunction identity
sinx° = cos(90 - x)°
sin77° = cos(90 - 77)° = cos13°
Simplify (x²y³) to the power of 5
Answer:
x¹⁰y¹⁵
Step-by-step explanation:
Expression: (x²y³)⁵
When a number to a power is multiplied by another power, then the exponents are multiplied. e.g. (a⁴)⁶ = a²⁴
So here, for x, the exponent is 2 * 5 = 10, and for y, it is 3 * 5 = 15.
So that gives us (x²y³)⁵ = x¹⁰y¹⁵
Help please about this math work
There is a 46% chance of a female patient having type-O blood
Answer:
19.6
Step-by-step explanation:
The question is slightly ambiguous. The data tells us that the number of females with O blood is 140.
I think you take this out of the entire population which is 714
The % is (140 / 714) * 100 = 19.61%
I wouldn't bet on these numbers being accurate.
PLEASE ANSWER RIGHT AWAY
Answer:
[tex]y=2\sin (x-\pi)[/tex]
Step-by-step explanation:
The sine graph has an amplitude of 2.
The period of this function is [tex]2\pi[/tex]
The graph is obtained by shift the graph of [tex]y=\sin x[/tex] [tex]\pi[/tex] units to the right.
Among the given equations, the only function which has these properties is
[tex]y=2\sin (x-\pi)[/tex]
The correct answer is option A
Solve the following system by substitution. m+n=5 and 5m+5n=25. Solve.
Answer:
Infinitely many solutions (x ∈ R)Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}m+n=5&\text{subtract}\ n\ \text{from both sides}\\5m+5n=25\end{array}\right\\\\\left\{\begin{array}{ccc}m=5-n&(1)\\5m+5n=25&(2)\end{array}\right\qquad\text{put (1) to (2):}\\\\5(5-n)+5n=25\qquad\text{use the distributive property}\\\\(5)(5)+(5)(-n)+5n=25\\\\25-5n+5n=25\qquad\text{cancel}\ 5n\\\\25=25\qquad\bold{TRUE}[/tex]
ln how many ways 5 person sitted in a round table having 8 seats?
Answer: First consider the case that ‘just’ 5 persons are seated around a round table.
Clearly, ‘just’ 5 persons can be seated around a round table in (5 - 1)! = 4! = 24 ways.
Now, one vacant chair is to be inserted among them.
Say, for a particular sitting arrangement ‘ABCDE’; there are 5 scopes available for inserting the vacant chair - between A and B, between B and C, between C and D, between D and E & between E and A.
So, there are 5*24 = 120 ways available that 5 persons can sit around a round table with 6 chairs.
Step-by-step explanation:
First consider the case that ‘just’ 5 persons are seated around a round table.
Clearly, ‘just’ 5 persons can be seated around a round table in (5 - 1)! = 4! = 24 ways.
Now, one vacant chair is to be inserted among them.
Say, for a particular sitting arrangement ‘ABCDE’; there are 5 scopes available for inserting the vacant chair - between A and B, between B and C, between C and D, between D and E & between E and A.
So, there are 5*24 = 120 ways available that 5 persons can sit around a round table with 6 chairs.
Which expression is equivalent to? Please help! Screenshots attached.
Answer:
[tex]\frac{\sqrt{5} }{x^{2} y}[/tex]
Step-by-step explanation:
That's a complex expression, let's simplify it, step by step, off the start, we'll simplify the 55/11:
[tex]\sqrt{ \frac{55 x^{7} y^{6} }{11 x^{11} y^{8} } } = \sqrt{ \frac{5 x^{7} y^{6} }{x^{11} y^{8} } }[/tex]
Then we'll simplify the x's and y's:
[tex]\sqrt{ \frac{5 x^{7} y^{6} }{x^{11} y^{8} } } = \sqrt{ \frac{5}{x^{4} y^{2} } }[/tex]
Let's split the square root in two and solve the bottom part:
[tex]\sqrt{ \frac{5}{x^{4} y^{2} } } = \frac{\sqrt{5} }{\sqrt{x^{4} y^{2}} } = \frac{\sqrt{5} }{x^{2} y}[/tex]
The solution is then:
[tex]\frac{\sqrt{5} }{x^{2} y}[/tex]
The expression which is equivalent to the given expression is:
[tex]\dfrac{\sqrt{5}}{x^2y}[/tex]
Step-by-step explanation:We are given a expression as:
[tex]\sqrt{\dfrac{55x^7y^6}{11x^{11}y^8}}[/tex]
Now we know that:
[tex]55=11\times 5[/tex]
Hence, we get:
[tex]\sqrt{\dfrac{55x^7y^6}{11x^{11}y^8}}=\sqrt{\dfrac{11\times 5x^7y^6}{11x^{11}y^8}[/tex]
which is written as:
[tex]\sqrt{\dfrac{5x^7y^6}{x^{11}y^8}}[/tex]
Also, we know that if n>m
Then
[tex]\dfrac{a^m}{a^n}=\dfrac{1}{a^{n-m}}[/tex]
Hence, we have the expression as:
[tex]=\sqrt{\dfrac{5}{x^{11-7}y^{8-6}}}\\\\\\=\sqrt{\dfrac{5}{x^4y^2}[/tex]
This could be given as:
[tex]=\dfrac{\sqrt{5}}{\sqrt{x^4}\sqrt{y^2}}[/tex]
Now, we know that:
[tex]\sqrt{x^4}=\sqrt{(x^2)^2}=x^2\\\\and\\\\\sqrt{y^2}=y[/tex]
Hence, we get that:
[tex]\sqrt{\dfrac{55x^7y^6}{11x^{11}y^8}}=\dfrac{\sqrt{5}}{x^2y}[/tex]