Answer:
Cars in one hour: 40 cars
Step-by-step explanation:
30 cars ---> 45 min
Xc ----------> 60 min
Xc = [(60min)*(30 cars)]/45 min
Xc = 40
Best regards
Find the volume of the solid figure 3’width 5’length and 6’height
A:90 cu. ft
B:96 cu. ft
C:126 cu. ft
Volume=length×width×height
=5×3×6
=90 cu.ft
Answer:
A. 90 cu.ftStep-by-step explanation:
The formula of a volume of a rectangular solid (cuboid):
[tex]V=lwh[/tex]
l - length
w - width
h - height
We have
[tex]l=5\ ft,\ w=3\ ft,\ h=6\ ft[/tex]
Substitute:
[tex]V=(5)(3)(6)=90\ ft^3[/tex]
identify the center and the radius of a circle with equation (x-4)^2+(y+2)^2=9
Answer:
center:(4,-2)
Radius: 3 units
Step-by-step explanation:
The standard equation of a circle is given as [tex](x-h)^2+(y-k)^2=r^2[/tex], where (h,k) is the center and r is the radius of the circle.
The given equation is [tex](x-4)^2+(y+2)^2=9[/tex].
We compare to the standard equation of the circle to get;
[tex]x-h=x-4[/tex]
[tex]\Rightarrow -h=-4[/tex]
[tex]\Rightarrow h=4[/tex]
and
[tex]y-k=y+2[/tex]
[tex]\Rightarrow -k=2[/tex]
[tex]\Rightarrow k=-2[/tex]
Hence the center of the circle is (4,-2).
Also, we have [tex]r^2=9[/tex]
Therefore [tex]r=\sqrt{9}[/tex]
[tex]r=3[/tex] units.
Answer:
Center at (4,-2); radius: 3
Step-by-step explanation:
Find an equation of the line passing through the pair of points. Write the equation in the form Ax+By=C
(-7,2), (-8,-9)
Answer:
11x - y = -79Step-by-step explanation:
The standard form of an equation of a line:
[tex]Ax+By=C[/tex]
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
(x₁, y₁) - point
We have the points (-7, 2) and (-8, -9). Substitute:
[tex]m=\dfrac{-9-2}{-8-(-7)}=\dfrac{-11}{-1}=11[/tex]
[tex]y-2=11(x-(-7))\\\\y-2=11(x+7)[/tex]
Convert to the standard form:
[tex]y-2=11(x+7)[/tex] use the distributive property a(b + c) = ab + ac
[tex]y-2=11x+77[/tex] add 2 to both sides
[tex]y=11x+79[/tex] subtract 11x from both sides
[tex]-11x+y=79[/tex] change the signs
[tex]11x-y=-79[/tex]
What is the factored form of x2 - 12x - 45?
Answer:
(x - 15)(x + 3)
Step-by-step explanation:
Factors of 45 include 5 and 9, 3 and 15, 1 and 45, and so on.
Note that 3*15 =+45; this is not what we wanted. Thus, try (-3)*15 = -45.
Do -3 and 15 combine to yield -12? No. Thus drop (-3)(15) and try (3)(-15).
Do 3 and -15 combine to yield -12? YES
Therefore, the factored form of x² - 12x - 45 is (x - 15)(x + 3).
the number that is 3 times the sum 5 and 7 i wrote 3 x 5 + 7 explain why i cannot use this expression to find the number
Answer:
3X(5+7)
Step-by-step explanation:
Because correctly is of this way:
3X(5+7)
and not so:
(3X5) + 7
Best regards
➷ You have written it the incorrect way.
Following the rules of PEMDAS, the multiplication would be carried out before the addition. This is not what is wanted
The question would want 3 times the SUM of 5 and 7.
To make sure you get the correct answer, you would have to write the expression slightly different
The correct way would be:
3(5 + 7)
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
The square pyramid has a base area of 900 square meters and a height of 40 meters. Find the volume.
Answer:
12000 m³
Step-by-step explanation:
The volume (V) of a pyramid is calculated using the formula
V = [tex]\frac{1}{3}[/tex] × area of base × height, hence
V = [tex]\frac{1}{3}[/tex] × 900 × 40 = 300 × 40 = 12000 m³
Answer:
12000 no problem
Step-by-step explanation:
Show that sin (x + pi) = -sin x.
Answer:
The answer in the procedure
Step-by-step explanation:
we know that
[tex]sin(A + B) = sin A cos B + cos A sin B[/tex]
In this problem we have
[tex]sin(x + \pi)=sin (x)cos(\pi) + cos(x)sin(\pi)[/tex]
Remember that
[tex]sin(\pi) = 0[/tex]
[tex]cos(\pi) = -1[/tex]
substitute
[tex]sin(x + \pi) = sin(x)(-1) + cos(x)(0)[/tex]
[tex]sin(x + \pi) = -sin(x)[/tex]
Final answer:
To prove that sin (x + π) = -sin x, the trigonometric identity for the sine of a sum is used, and by considering the specific values for cos π and sin π, the identity simplifies to the required expression.
Explanation:
To show that sin (x + π) = -sin x, we can use the trigonometric identity for the sine of a sum:
sin (α + β) = sin α cos β + cos α sin β
Applying this identity to sin (x + π):
sin (x + π) = sin x cos π + cos x sin π
Since cos π = -1 and sin π = 0, we substitute these values:
sin (x + π) = sin x (−1) + cos x (0)
sin (x + π) = −sin x + 0
Hence, sin (x + π) = −sin x, demonstrating the original statement.
I REALLY NEED HELP! PLEASE HELP ME!
64−(3y+8y+y)÷40=37
8,000÷(28x+4)−15=25
Answer:
y = -118 and x = 7
Step-by-step explanation:
I've attached a picture with my work.
Detailed steps on solving equations with variables y and x, including simplification and solving for the unknowns.
Solving the equation 64−(3y+8y+y)÷40=37:
Combine like terms: 64 - (12y) ÷ 40 = 37Simplify: 64 - 0.3y = 37Solve for y: y = (64 - 37) / 0.3 = 90Solving the equation 8,000÷(28x+4)−15 = 25:
Add 15 to both sides: 8,000 ÷ (28x + 4) = 40Multiply both sides by (28x + 4): 8,000 = 40(28x + 4)Solve for x: x = (8,000 - 160) / 40(28) = 6Order the numbers from least to greatest.
* The square root of 1/64
*1/4
*0.2 repeating
From least to greatest, the numbers are
Answer:
Step-by-step explanation:
The sqrt of 1/64 is 1/8, or 0.125.
1/4 is equivalent to 0.25.
0.2 repeating is 0.222222222222 ...
Least: 0.125
Middle: 0.25
Greatest: 0.222222222222 ...
The numbers from least to greatest are: square root of 1/64 (0.125), 0.2 repeating (0.222...), and 1/4 (0.25).
Explanation:This problem requires an understanding of fractions and square roots to order the numbers correctly. Firstly, you have to calculate the square root of 1/64. The square root of 1/64 is 1/8 or 0.125. Then, let's consider the other numbers: 1/4 which is equal to 0.25, and 0.2 repeating which is actually equivalent to 0.222 continuing. Now we can order them from least to greatest: 1/8 (0.125), 0.2 repeating (0.222...), and 1/4 (0.25).
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A group of art students are painting a mural on a walls the rectangular wall has dimensions of (6x+7) by (8x+5) and they are planning the mural to be (x+4) by(2x+5). What is the area of the remaining wall after the mural has been painted
Answer:
46x^2 + 73x + 15
Step-by-step explanation:
Expand both equations
Wall = (6x + 7)(8x + 5) = 48x^2 + 56x + 30x + 35 = 48x^2 + 86x + 35
Mural = (x + 4)(2x + 5) = 2x^2 + 5x + 8x + 20 = 2x^2 + 13x + 20
Minus them.
Wall - Mural =
(48x^2 + 86x + 35) - (2x^2 + 13x + 20)
(48x^2 - 2x^2) + (86x - 13x) + (35 - 20)
46x^2 + 73x + 15
Answer:
46x^2 + 73x + 15
Step-by-step explanation:
Expand both equations
Wall = (6x + 7)(8x + 5) = 48x^2 + 56x + 30x + 35 = 48x^2 + 86x + 35
Mural = (x + 4)(2x + 5) = 2x^2 + 5x + 8x + 20 = 2x^2 + 13x + 20
Minus them.
Wall - Mural =
(48x^2 + 86x + 35) - (2x^2 + 13x + 20)
(48x^2 - 2x^2) + (86x - 13x) + (35 - 20)
46x^2 + 73x + 15
Item 1
Plot and connect the points to make a picture.
1 (5,0) 2 (2,−3) 3 (2,−2) 4 (0,−2)
5 (−3,−2) 6 (−3,0) 7 (−3,2) 8 (0,2)
9 (2,2) 10 (2,3)
Moving at its top speed a sloth would take 20 hours to go 3 miles on land. What’s that in miles per hour
Answer:
.15 mph
Step-by-step explanation:
3 miles/ 20 hours or 3/20
Answer:
6 hours and 42 minutes (402 minutes)
Step-by-step explanation:
20 ÷ 3 = 6.7 hours
6.7 hours = 6 hours and 42 mins
To check if our answer is correct:
Do the inverse
6. 7 hours x 3 = 20.1
Round it to nearest whole number, 20
which of the figures shown above polygons?
Answer:
the one with 5anglesinterior angles are 5Define the following terms
a. Dividend
b. Divisor
c. Quotient
d. Remainder
Answer:
Dividend- The number that is divided is called the dividend
Divisor- a number that divides a integer ( It is the number that is divided by the Dividend)
Quotient- is the result when dividing.
Remainder- is the amount that is left over after dividing
Step-by-step explanation:
Example
36 ÷ 6 = 6
36 is the Dividend
6 is the Divisor
6 is the Quotient
No remainder
Hopes this helps!
Find the length of the side of a square with an area of 49.
A. 49
B. 7
C. 25
D. 2,401
7 is the answer
Area =length *breadth
Area =length *length
Area=49=x *x
[tex]49 = {x}^{2} \\ \sqrt{49} = x \\ x = 7[/tex]
Find the surface area of the rectangular prism
Answer:
S.A. = 328Step-by-step explanation:
The formula of a surface area of a rectangular prism l × w × h:
[tex]S.A.=2(lw+ih+wh)[/tex]
We have l = 5.5, w = 5 and h = 13. Substitute:
[tex]S.A.=2(5.5\cdot5+5.5\cdot13+5\cdot13)\\\\S.A.=2(27.5+71.5+65)\\\\S.A.=2(164)\\\\S.A.=328[/tex]
In the number 3,657,892 which digit is in the millions place
The number that is in the millions place is 3
The value of each digit in a number is known as the place value. The correct option is C, 3.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
Identification of the place value of a digit in a number:
The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10The million in a digit is represented by the sixth digit from the right in a number. Therefore, In the number 3,657,892, the digit that is in the millions of places is 3.
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Rewrite the quadratic function in standard form and give the vertex f(x)=3x^2-6x-9
Answer:
y=3(x-1)^2-12
Step-by-step explanation:
I would like to know the result of 3^3
Answer:
[tex]3^{3}[/tex] = 27.
Step-by-step explanation:
3 to the third power ( [tex]3^{3}[/tex] ) is the same as :
3 x 3 x 3 which would equal :
3 x 3 = 9 x 3 = 27.
Hope this helps,
Davinia.
27
3 times.3 times 3
9 times 3
27
Brianna spent a total of $52 on 4 used video games. What was the average cost of a game?
52 divided by 4 then you’ll get 13
Brenda walk the dogs after school she is planning to increase the rate that she charges by 20% in January when does current rate for walking a dog is $4.50 what will be the new rate in dollars after the 20% increase? Plz show work
Answer:
$5.40
Step-by-step explanation:
To find the increase we need to consider our variables.
Current Rate = $4.50
Increase Percentage = 20% or 0.20
Now we can find the new rate by multiplying the Current Rate to the Increase Percentage and add it to the Current Rate again.
Total Price w/ Increase = ($4.50 x 0.20) + $4.50
Total Price w/ Increase = $0.90 + $4.50
Total Price w/ Increase = $5.40
HELP PLZ (30 POINTS)
Answer: I think 1 or 2
Answer:
4: 3 and 2
5: 1 and 4
If the greatest value of n is 8, which inequality best shows all the possible values of n? (5 points) n < 8 n ≤ 8 n > 8 n ≥ 8
Answer:
Step-by-step explanation:
"the greatest value of n is 8" is signified by n ≤ 8.
This is a set, and also an inequality.
Which is more, 1 yard or 64 inches?
Answer:
64 inches
Step-by-step explanation:
12 x 3ft (1yard)=36in
What is the volume of the pyramid in cubic inches?
48 and 81 basically you just have to multiply
Answer:
144 cubic inches
Step-by-step explanation:
We are given a diagram of a pyramid with length = 8 inches, height = 9 inches and width = 6 inches.
We are to find the volume of this pyramid.
We know that the formula of volume of a pyramid is given by:
[tex] \frac { l \times w \times h } { 3 } [/tex]
Substituting the given values in the above formula to get:
Volume of pyramid = [tex] \frac { 8 \times 6 \times 9 } { 3 } [/tex] [tex]=\frac{432}{3}[/tex] = 144 cubic inches
Mrs siebenaller recorded the average number of points a student earned on unit 3 and unit4 quizzes Unit 3 {2,4,2,3,5,2} Unit 4 {5,1,1,5 1,5} a. what is the mean point value for each unit? Please help
i’m struggling with number 55 every time ive tried i don’t end up with the right answer
Answer:
X=2
Step-by-step explanation:
if 9450 is 16%, how much is 100%
Answer:
59062.50
Step-by-step explanation:
Is means equals
9450 = 16% of a number
9450 = .16 N
divide by .16
9450/.16 = .16N/.16
59062.50 = N
The number is 59062.50
We want 100% of the number which is all of it
59062.50
find the area of a rectangle whose length is 5 centimeters and width is 3 centimeters
your answer is 15 centimeters
Gabriella has $300 in her checking account and $125 in her savings account if Gabriella transferred enough money from my checking account to her savings account to double the savings account balance what is her new checking account balance
Answer:
Step-by-step explanation:
$300-$125=$175