Answer: $10.40
Explanation:
First, find the cost of 1 box of pasta. 13/5 = 2.6, so $2.60 a box.
Next, find how many boxes there are. 48/12 = 4, so 4 boxes of pasta.
Finally, multiply 4*2.6 to get the final cost.
A manufacturer makes candles in the shape of right circular cylinders and right circular cones. Part A) One candle, in the shape of a cylinder, has a height of 7.5 inches and a diameter of 5 inches. What is the volume of the candle? round all answers to the nearest inch
Answer:
The volume of the candle is [tex]147\ in^{3}[/tex]
Step-by-step explanation:
we know that
The volume of a cylinder (candle) is equal to
[tex]V=\pi r^{2} h[/tex]
we have
[tex]r=5/2=2.5\ in[/tex] ----> the radius is half the diameter
[tex]h=7.5\ in[/tex]
substitute
[tex]V=\pi (2.5)^{2} (7.5)[/tex]
[tex]V=46.875\p\ in^{3}[/tex]
assume
[tex]\pi=3.14[/tex]
[tex]V=46.875(3.14)=147\ in^{3}[/tex]
(3x + 3)(x − 5)
I’m confused please help me!
3x^2 - 15x + 3x - 15
3x^2 - 12x -15
Answer: =3 x 2 − 12x −15
Step-by-step explanation:
=(3x + 3)(x+−5)
=(3x)(x) + (3x)(−5)+(3)(x)+(3)(−5)
=3x2 − 15x+ 3x − 15
Therefor, the answer is = 3x 2 − 12x − 15
* hopefully this helps:) Mark me the brainliest:)!!!
Select the correct answer.
To prepare for a triathlon, Amanda starts from position A and rides her bike along a straight road for 12 miles to reach position B. At B, she turns left and rides along another straight road for 15 miles to reach position C. At C, she turns left again and rides 20 miles along a straight road to return to A. In , what are m∠A, m∠B, and m∠C, respectively?
A.
48.35°, 94.94°, 36.71°
B.
35.41°, 67.87°, 76.72°
C.
51.05°, 70.66°, 58.29°
D.
15.97°, 81.89°, 82.14°
Answer:
A. 48.35°, 94.94°, 36.71°
Step-by-step explanation:
Given,
ABC is a triangle,
In which AB = 12 miles, BC = 15 miles and AC = 20 miles,
By the cosine law,
[tex]BC^2 = AC^2 +AB^2 -2\times AC\times AB\times cos A[/tex]
[tex]2(AC)(AB)cos A=AC^2+AB^2-BC^2[/tex]
[tex]\implies cos A = \frac{AC^2+AB^2-BC^2}{2(AC)(AB)}----(1)[/tex]
Similarly,
[tex]cos B = \frac{BC^2+AB^2-AC^2}{2(BC)(AB)}----(2)[/tex]
[tex]cos C = \frac{BC^2+AC^2-AB^2}{2(AC)(BC)}----(3)[/tex]
By substituting the values in equation (1),
[tex]cos A=\frac{20^2+12^2-15^2}{2(20(12)}=0.66458[/tex]
[tex]\implies m\angle A\approx 48.35^{\circ}[/tex]
Similarly, from equation (2) and (3),
[tex]m\angle B\approx 94.94^{\circ}[/tex]
[tex]m\angle C\approx 36.71^{\circ}[/tex]
Hence, Option 'A' is correct.
The length of a rectangle is the width minus 5 units. The area of the rectangle is 36 units. What is the width, in units, of the rectangle
Answer:
The width of the rectangle is [tex]9\ units[/tex]
Step-by-step explanation:
Let
x----> the length of rectangle
y----> the width of rectangle
we know that
The area of rectangle is equal to
[tex]A=xy[/tex]
[tex]A=36\ units^{2}[/tex]
so
[tex]36=xy[/tex] ------> equation A
[tex]x=y-5[/tex] -----> equation B
substitute equation B in equation A and solve for y
[tex]36=(y-5)y[/tex]
[tex]y^{2}-5y-36=0[/tex]
Solve the quadratic equation by graphing
The solution is [tex]y=9\ units[/tex]
see the attached figure
therefore
The width of the rectangle is [tex]9\ units[/tex]
Answer: 9 units.
Step-by-step explanation:
Let x be the width of the rectangle .
Then, the length would be x-5.
Area of rectangle = Length x Breadth
[tex]=(x-5)x=x^2-5x[/tex]
Since , The area of the rectangle is 36 units.
[tex]\Rightarrow\ x^2-5x=36\\\\\Rightarrow\ x^2-5x-36=0\\\\\Rightarrow\ x^2-9x+4x-36=0\\\\\Rigtarrow\ x(x-9)+4(x-9)=0\\\\\Rightarrow\ (x-9)(x+4)=0\\\\\Rightarrow\ x=9 , -4[/tex]
But width cannot be negative , so width = x= 9 units
Hence, the width of the rectangle = 9 units.
Please help me! 20 points!
A wooden block in the shape of a cube has a side length of 0.3 meter and has a mass of 18.954 kilograms.
What is the density of the block?
_______ kg/m³
Answer:
We first have to find the volume of the cube: (0.3 * 0.3 * 0.3) we then get 0.027, then we plug in the numbers for the density formula. D = 18.954/0.027 will give us 702.
The density of the wooden block in the shape of a cube with the given side length and mass is 702kg/m³.
What is the density of the block?
Density is expressed mathematically as;
p = m / v
Where m is mass and v is volume.
Given the data in the question;
Mass of the cube wood block m = 18.954kgside length a = 0.3mDensity p = ?First, we calculate the volume of the cube wood block.
Volume of a cube v = a³
v = ( 0.3m )³
v = 0.027m³
Now, we determine the density.
p = m / v
p = 18.954kg / 0.027m³
p = 702kg/m³
Therefore, the density of the wooden block in the shape of a cube with the given side length and mass is 702kg/m³.
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11) a - 15 >-40-6 + 3a)
Answer:
a < [tex]\frac{31}{2}[/tex]
Step-by-step explanation:
Given
a - 15 > - 40 - 6 + 3a ← simplify right side
a - 15 > - 46 + 3a ( subtract a from both sides )
- 15 > - 46 + 2a ( add 46 to both sides )
31 > 2a ( divide both sides by 2 )
[tex]\frac{31}{2}[/tex] > a ⇒ a < [tex]\frac{31}{2}[/tex]
A coffee shop has booths and counter seating. Each booth can
seat 4 people. Another 20 people can sit at the counter. Which
expression shows how many customers can be seated in the coffee
shop?
A) 200 – 4 B) 200 14 C) Ab-20 D) 4b + 20
Answer:
d
Step-by-step explanation:
4 times the number of booths and 20 people.
Write the point-slope form of the line that passes through (6, 1) and is perpendicular to a line with a slope of -3. Include all of your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution
ANSWER
[tex]y-1= \frac{1}{3} (x- 6)[/tex]
EXPLANATION
We want to write the point-slope form of the line that passes through (6, 1) and is perpendicular to a line with a slope of -3.
The slope of this line is negative reciprocal of -3.
[tex]m = - \frac{1}{ - 3} = \frac{1}{3} [/tex]
The point-slope form is given by:
[tex]y-y_1=m(x-x_1)[/tex]
We substitute the point and the slope to get;
[tex]y-1= \frac{1}{3} (x- 6)[/tex]
Answer:
y - 1 = 1/3*(x - 6)
Step-by-step explanation:
point-slope form of a line:
y - y1 = m*(x - x1)
where x1 and y1 are the coordinates of the point included in the line and m is its slope.
Two lines are perpendicular when the multiplication of their slopes is equal to -1. In this case,
m*(-3) = -1
m = 1/3
Replacing this slope and the coordinates of point (6, 1) we get:
y - 1 = 1/3*(x - 6)
19)
Solve the quadratic equation x2 − 18x + 81 = 64 for x.
A)
x = 17 or x = 1
B)
x = 11 or x = −5
C)
x = 9 or x = −8
D)
x = 2 or x = 9
Answer:
{1, 17}
Step-by-step explanation:
x2 − 18x + 81 = 64 can be rewritten as x² - 18x + 81 = 64.
Next, x² - 18x + 81 can be rewritten as (x - 9)²
so that we now have:
(x - 9)² = 64.
Taking the sqrt of both sides, we get
x - 9 = ± 8
Then one root is x = 9 + 8 = 17, and the other is x = 9 - 8 = 1.
{1, 17} is the set of roots
Answer:
A.) x=17 or x=1
Step-by-step explanation:
Help! This one right here I didn’t learn please
For this case we have to define trigonometric properties of rectangular triangles that, the sine of an angle is given by the leg opposite the angle on the hypotenuse of the triangle. So:
[tex]Sin (53) = \frac {x} {10}[/tex]
We clear x:
[tex]x = 10 * without (53)\\x = 10 * 0.79863551\\x = 7,986,351[/tex]
Rounding:
[tex]x = 8[/tex]
ANswer:
8.0
Answer:
x could be the opposite or adjacent side ( sin or cos ) but it will still give you the same answer
Step-by-step explanation:
sin Ф = opp/hyp
sin 53 = x/10
10 sin 53 = x
x = 7.99
cos Ф = adj/hyp
cos 37 = x/10
10 cos 37 = x
x = 7.99
The equation of line 1 is 3x−2y=5, and the equation of line 2 is x+2y=7. What is the point of intersection of the two lines?
A. (3,2)
B. (2,3)
C. (5,5)
D. (5,1)
Answer:
(3, 2)
Step-by-step explanation:
This is a system of equations so I'll solve it using the 'Addition method'.
3x - 2y = 5 | x + 2y = 7
Add the two equations together to get:
4x = 12
x = 3
Then we solve for y using the 2nd expression because it's easier.
3 + 2y = 7
2y = 4
y = 2
The point of intersection of the two lines 3x-2y=5 and x+2y=7 is found to be (3,2) by solving the system of equations simultaneously, making option A the correct answer.
To find the point of intersection of the two lines represented by the equations 3x−2y=5, and x+2y=7, we need to solve these equations together. This involves finding a common solution for x and y that satisfies both equations simultaneously.
Steps to Find the Intersection
Rewrite each equation in standard form if necessary. The equations are already in standard form.Solve one of the equations for one of the variables. Let’s solve the second equation for x: x = 7 - 2y.Substitute the expression for x from step 2 into the first equation: 3(7 - 2y) - 2y = 5.Simplify and solve for y: 21 - 6y - 2y = 5, which simplifies to -8y = -16. Solving for y gives y = 2.Substitute the value of y back into one of the original equations to solve for x. Using the second equation: x + 2(2) = 7, simplifying gives x = 3.Therefore, the point of intersection of the two lines is (3,2), which corresponds to option A.
Having a hard time with this one.
answer for this question is 1/16
Enter the degree of the polynomial below .
the degree of the polynomial would be 10.
the degree of the above polynomial is (a)10
Figure GHTA below is a parallelogram. = 6 cm, = 8 cm, and the measure of = 60°. Find the area.
Answer:
The area of parallelogram GHTA is [tex]41.568 cm^2[/tex].
Step-by-step explanation:
Given parallelogram GHTA
GH = 8 cm =-AT
GA = 6 cm
∠ GAT =∠ GHT = 60°
To find = Area of parallelogram
Solution:
Draw perpendicular GO on the base AT.
In ΔGOA
[tex]\sin 60^o=\frac{GO}{GA}=\frac{GO}{6 cm}[/tex]
(sin 60°=0.8660)
GO = 5.196 cm
Area of the parallelogram: GO × AT
[tex]=5.196 cm\times 8 cm =41.568 cm^2[/tex]
The area of parallelogram GHTA is [tex]41.568 cm^2[/tex].
The answer would be D 48V3 cm ^2
the v is the root btw
Please answer prob 24
A i think
its basically x>15
x is amount needed right
Answer: The correct answer would be D. , And A can not the answer because that answer choice represents the absolute value because of the 2 lines around 15 . Hope this clarifys everything.
Step-by-step explanation:
Because in the problem it says " more than 15 assignments" so we would put the more than or equal sign. So the more than or equal to 15 assignments. Therefor, D, represents the situations.
* Hopefully this helps:) Mark me the brainliest :)
∞ 234483279c20∞
Find the measure of angle 1
Answer:
38°
Step-by-step explanation:
Angles in a triangle add up to 180° and opposite angles are equal, therefore 180°-104°=76°
76°÷2=38°
I think this is correct :)
Answer:
The correct answer is <1 = 38°
Step-by-step explanation:
From the figure we can see a parallelogram.
Opposite angles of a parallelogram are equal.
To find the measure of <1
From the figure we get <1 + <2 = <3 + <4
<1 = <2
<1 + <2 + <3 + <4 = 360 - (2 * 104)
= 360 - 208 = 152
<1 + <2 = 152/2 = 76°
<1 = <2 = 76/2 = 38°
Therefore measure of <1 = 38°
Hannah measured the length, width, and height of her microwave in order to determine if it would fit in the space above her stove. Her measurements are shown below.
What is the volume of the microwave?
A. 1 9/16 cu ft.
B. 1 11/12 cu ft.
C. 1 3/4 cu ft.
D. 3 2/3 cu ft
Answer:
the answer is A. 1 9/16 cubic feet
Step-by-step explanation:
V = lwh
V = (5/3 ft) (5/4 ft) (3/4 ft)
V = 75/48 cu. ft.
V = 25/16 cu. ft.
V = 1 9/16 cu. ft
Factor 6x^4 - 5x^2 + 12x^2 - 10 by grouping. What is the resulting expression?
Answer:
[tex](6x^2 -5) (x^2 +2 )[/tex]
Step-by-step-explanation:
We are given the following expression and we are to factorize it by grouping:
[tex]6x^4 - 5x^2 + 12x^2 - 10[/tex]
We will group the first two terms and the last two terms to get:
[tex](6x^4 - 5x^2) + (12x^2 - 10)[/tex]
For the first group we need to factor out x^2 and for the second group we will factor out 2.
[tex]x^2(6x^2 - 5) + 2(6x^2 - 5) [/tex]
[tex](6x^2 -5) (x^2 +2 )[/tex]
Can anyone help me please
Answer:
$35.64
Step-by-step explanation:
$5.78 + $19.87 + $24.99 = $50.64
$50.64 - $15 = $35.64
Answer:
35.64
Step-by-step explanation:
24.99 + 19.87 + 5.78 = 50.64
50.64 - 15= 35.64
twenty two percent of the large pieces of mail that Rachel received this week were magazines and the rest were catalogs. Of the catalogs, 36 percent were for clothing. To the nearest whole percent, what is the probability that a randomly chosen large piece of Rachels mail was a clothing catalog?
Answer:
28%
Step-by-step explanation:
78 x .36 = 28.08
Answer:
B. 28%
Step-by-step explanation:
Right on edge.
3a=9 What does a equal
Answer:
a=3
Step-by-step explanation:
3x3=9
Answer: a=3
Step-by-step explanation: 3*3=9
The manger of a large store notices that there are 72 customers waiting to be check out, spread across 9 different check-out lines. Select all of the scenarios that would be proportional to what the manger saw.
72 divided by 9 = 8
Hope I helped
The students at Strawberry Lakes High were complaining that the $0.99 bags of chips from the vending machine are mostly air. The bags are 6.0 inches, by 1.0 inch, by 4.5 inches Eric put a ruler inside the bag before eating any chips and measured that there were 2.7 inches of chips a.) What is the percent of air in the bag? What is the cost per ounce of chips? ( 1 oz. = 8.1 cm^3)
Answer:
3.3 inches of air in the bag.
I don't know how to get the second part. Hope this helps! :)
Which is the range of the function f(x) = 1/7 (9)x
It looks incomplete, but all linear functions are going to have *ALL REAL NUMBERS*.
what is one half times negative 2
Answer:
the answer is -3 ihope your happy
Step-by-step explanation:
Answer:
the answer is -1
Step-by-step explanation:
o.5 x -2= -1
need help click on me
The answers are: A and C
Plz help me with this
Answer: [tex]\bold{B)\quad y=4sin\bigg(\dfrac{3}{2}x+\dfrac{2\pi}{3}\bigg)}[/tex]
Step-by-step explanation:
A sin graph is a cosine graph shifted to the left [tex]\dfrac{\pi}{2}[/tex] units.
[tex]y=4cos\bigg(\dfrac{3}{2}x + \dfrac{\pi}{6}\bigg)\qquad \implies y=4sin\bigg(\dfrac{3}{2}x+\dfrac{\pi}{6}+\dfrac{\pi}{2}\bigg)\\\\\\.\qquad \qquad \qquad \qquad \qquad \implies y=4sin\bigg(\dfrac{3}{2}x+\dfrac{4\pi}{6}\bigg)\\\\\\.\qquad \qquad \qquad \qquad \quad \implies \large\boxed{y=4sin\bigg(\dfrac{3}{2}x+\dfrac{2\pi}{3}\bigg)}[/tex]
Billy will earn $8 per hour and work 12 hours per week how much will he earn in one week
Answer:
The answer is simple. If there is $8 an hour and works for 12 hours, just multiply 8 by 12, which is 96. He will earn $96 in a week
Step-by-step explanation:
He make $8 per hour.
He works a total of 12 hour in one week.
12 hours • $8 = $96
He makes $96 in one week.
Find equation of the line
Answer:
4, 1
Step-by-step explanation:
The equation of the given line in slope-intercept form, y = 4x + 1.
What is the Equation of a Line?If a line has a slope of m, and a y-intercept of b, the equation of the line in slope-intercept form is y = mx + b.
The slope of the line = rise/run = 8/2
Slope (m) = 4
The y-intercept (b) = 1
Substitute m = 4 and b = 1 into y = mx + b
y = 4x + 1
The equation is y = 4x + 1
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Compute the perimeter of the rectangle using the distance formula. (round to the nearest integer)
do you have a picture