Jessica purchased 12 pieces of sweets for $7.8. Use multiplication, In mathematics, one finds the product of two or more numbers.
Calculate how much she spend?Multiplying in math is the same as adding equal groups. The number of items in the group grows as we multiply. Parts of a multiplication issue include the product, the two factors, and the product. The factors in the multiplication problem 12x 65 = 780 are the numbers 12 and 65, and the product is the number780.
Detailed explanation:
Using the formulas 12•65 or 12x65 = 780
Step-by-step explanation: The solution is 780 if you enter 12•65 or 12x65=78. ie , $7.8.
Jessica purchased 12 pieces of sweets for $7.8.
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Final answer:
To find the total cost of the candy Jessica bought, we multiply the quantity (12 pieces) by the price per piece ($0.65) to get a total of $7.80 spent.
Explanation:
Jessica bought 12 pieces of candy at the store for $0.65 each. To find out how much she spent in all on the candy, we simply multiply the number of pieces of candy by the price per piece.
Using the equation:
total cost = (number of pieces) × (price per piece),
we get:
total cost = 12 × $0.65.
By doing the multiplication, we find that:
total cost = $7.80.
Therefore, Jessica spent $7.80 on the 12 pieces of candy.
Solve x 2 - x - 5/2 = 0 using the quadratic formula.
Answer:
your answer would be: x=1±√11 all divided by 2
Hope this helps
~QueenSupreme AKA Trinity
Answer: [tex]\bold{\dfrac{1\pm \sqrt{11}}{2}}[/tex]
Step-by-step explanation:
[tex]x^2-x-\frac{5}{2}=0\quad \text{multiply by 2 to get:}\\\\2x^2-2x-5=0\quad \rightarrow \quad a=2,\ b=-2,\ c=-5\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(2)(-5)}}{2(2)}\\\\\\.\ =\dfrac{2\pm \sqrt{40}}{2(2)}\\\\\\.\ =\dfrac{2\pm \sqrt{44}}{2(2)}\\\\\\.\ =\dfrac{2\pm 2\sqrt{11}}{2(2)}\\\\\\.\ =\boxed{\dfrac{1\pm \sqrt{11}}{2}}[/tex]
What is the surface area of a right circular cylinder with a height of 8 meters and a base whose
radius is 4 meters?
(A)144 m2 (B)96 m2 (C)80 m2 (D)128 m2
Answer:
[tex]S.A=96\pi m^2[/tex]
Step-by-step explanation:
The surface area of a right circular cylinder is given by the formula;
[tex]S.A=2\pi r(r+h)[/tex]
where [tex]h=8m[/tex] is the height of the cylinder and
[tex]r=4m[/tex] is the radius of the cylinder.
We plug in these values into the formula to obtain;
[tex]S.A=2\pi \times4(4+8)[/tex]
[tex]S.A=8 \times12 \pi[/tex]
[tex]S.A=96\pi m^2[/tex]
−12 ≤ 44+x
Solve for x
Answer:
[tex]x \geq -56[/tex]
Step-by-step explanation:
You can solve inequalities the same way as equations as long as whenever you multiply or divide by a negative number, or flip fractions, you change the direction of the sign.
We don't have to do that here, here is the worked solution:
[tex]-12 \leq 44 + x[/tex]
[tex]-56 \leq x[/tex]
[tex]x \geq -56[/tex]
Answer:
x ≥ -56
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Hope this helps,
Davinia.
7/11 as a decimal rounded to 3 decimal places
To round 7/11 to three decimal places, you divide 7 by 11 to get 0.63636..., and then round the result to 0.636 since the fourth decimal place is 6, which mandates rounding up.
Explanation:To convert 7/11 as a decimal rounded to 3 decimal places, you can either use a calculator or do long division. After dividing 7 by 11, you will get a result that must be rounded to maintain only three digits after the decimal point. To round off a decimal number, look at the digit after the place you want to round to. In this case, if you want to round to three decimal places, you will look at the fourth place after the decimal. If this digit is 5 or higher, you round up the third-place digit. If it's lower than 5, you leave the third-place digit as it is.
So, converting 7/11 into a decimal, you get approximately 0.63636... Looking at the fourth decimal place, we see that the digit is 6, which means we round up the third decimal place. So, 7/11 rounded to three decimal places is 0.636.
need geometry help!
Answer:
1. Area = 113.1 square units
2. Area = 28.27 square units
3. Area of Shaded = 22.27 square units
Step-by-step explanation:
1.
Area of the circle is given by the formula [tex]A=\pi r^2[/tex]
where A is the area and r is the radius
In our case the radius is 6 units, thus we have:
[tex]A=\pi r^2\\A=\pi (6)^2\\A=\pi *36\\A=113.1[/tex]
Area = 113.1 square units
2.
When we have the angle given in radians, the area of sector is given by the formula [tex]A=\frac{1}{2}r^2\theta[/tex]
Where [tex]\theta[/tex] is the central angle ( in our case [tex]\theta = \frac{\pi}{2}[/tex] and r is the radius (it is 6)
Plugging in these info into the formula we have area of sector:
[tex]A=\frac{1}{2}r^2\theta\\A=\frac{1}{2}(6)^2(\frac{\pi}{2})\\A=\frac{1}{2}*36*\frac{\pi}{2}\\A=28.27[/tex]
Area = 28.27 square units
3.
Area of shaded region = Area of Sector - Area of Triangle
We know area of sector is 28.27
Since the angle is 90 degrees, we have a right triangle, we can use the pythagorean theorem to find the height of the triangle, CE.
Thus
[tex]DC^2+CE^2=DE^2\\3^2+CE^2=5^2\\9+CE^2=25\\CE^2=25-9\\CE^2=16\\CE=4[/tex]
The area of triangle is [tex]A=\frac{1}{2}bh[/tex]
where b is the base (in our case it is DC = 3 ) and h is the height (in our case it is CE, which is 4). Plugging into the formula we have the area of triangle as:
[tex]A=\frac{1}{2}bh\\A=\frac{1}{2}(3)(4)\\A=6[/tex]
Area of Shaded = 28.27 - 6 = 22.27 square units
How many triangles can you make from straws with the lengths 2,1,2 inches?
Answer:
You can make one triangle with these lengths
Step-by-step explanation:
we know that
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
Verify if the lengths satisfy the triangle inequality theorem
1) 2+1 > 2
3 > 2 ------> is true
2)2+2 > 1
4 > 1 -----> is true
so
The lengths satisfy the triangle inequality theorem
therefore
You can make one triangle with these lengths
Which data could be represented by the box plot shown below?
Answer:
C
Step-by-step explanation:
Can anyone please answer this question????I really can't choose which answer to put in here!!!!!!!HELP ME PLEASE!!!!!!!30 points for who answers it.......and it is quite easy.......
Answer:B.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
it is C because A, B, and D are triangular prisms.
0.034 is 1/10 of 0.0034
False, .0034 is 1/10 of .034
The statement that 0.034 is 1/10 of 0.0034 is incorrect. In fact, 0.034 is 10 times larger than 0.0034. Thus, it's correct to say 0.0034 is 1/10 of 0.034.
Explanation:No, the statement that 0.034 is 1/10 of 0.0034 is not correct. When comparing the two numbers, we can see that 0.034 is actually 10 times larger than 0.0034, not 1/10. To confirm this, we can perform the division operation: 0.034 ÷ 0.0034 = 10. Therefore, we can say that 0.0034 is 1/10 of 0.034, but not the other way around.
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can someone please explain what is happening to rectangle A? Answer choice c says: rotate rectangle A 90 counterclockwise about the origin reflect it over the y axis and translate it 1 unit up. answer D says rotate rectangle a 90° clockwise about the origin and translated 2 units up and 6 units to the right A and B are in the pic.
C is the one you're looking for
which statements are true? select each correct answer.
a) 30a^6-24a^2=3à^2(10a^4-8)
b) 24a^4+18=6(4a^⁴+3)
c) 16a^5-20a^3=4a^3(4a^2-5)
D) 12a^3+8a=4(3a^3+2a)
Answer:
All are True
a) 30a^6-24a^2=3à^2(10a^4-8)
b) 24a^4+18=6(4a^⁴+3)
c) 16a^5-20a^3=4a^3(4a^2-5)
D) 12a^3+8a=4(3a^3+2a)
Step-by-step explanation:
a) 30a^6-24a^2=3à^2(10a^4-8)
since; 3à^2(10a^4-8)
= 30a^6 - 24a^2
b) 24a^4+18=6(4a^⁴+3)
Since; 6(4a^⁴+3) opening the brackets
= 24a^4 + 18
c) 16a^5-20a^3=4a^3(4a^2-5)
Since; 4a^3(4a^2-5) , opening the brackets we get
= 16a^5 - 20^3
D) 12a^3+8a=4(3a^3+2a)
Since;4(3a^3+2a), opening the bracket we get;
= 12a^3 + 8a
Dave and Sandy Hartranft are frequent flyers with a particular airline. They often fly from City A to City B, a distance of 756 miles. On one particular trip, they fly into the wind, and the the flight takes 2 hours. The return trip, with the wind behind them, only takes1 1/2 hours. If the wind speed is the same on each trip, find the speed of the wind and find the speed of the plane in still air.
Answer:
Plane = 441 mi/h; wind = 63 mi/h
Step-by-step explanation:
distance = rate × time
Let p = the plane's speed in still air
and w = the wind speed . Then,
p + w = speed with wind
p - w = speed against wind
We have two conditions:
(1) 756 = (p - w) × 2
(2) 756 = (p + w) × 1.5
Distribute the constants (3) 756 = 2p - 2w
(4) 756 = 1.5p + 1.5 w
Multiply Equation (3) by 3 (5) 2268 = 6p - 6w
Multiply Equation (4) by 4 (6) 3024 = 6p + 6w
Add Equations (5) and (6) 5292 = 12p
Divide each side by 12 (7) p = 441 mi/h
Substitute (7) into Equation(3) 756 = 882 - 2w
Add 2w to each side 2w + 756 = 882
Subtract 756 from each side 2w = 126
Divide each side by 2 w = 63 mph
The plane's speed in still air is 441 mi/h.
The wind speed is 63 mph.
Check:
(1) 756 = (441 - 63) × 2 (2) 756 = (441 + 63) × 1.5
756 = 378 × 2 756 = 504 × 1.5
756 = 756 756 = 756
The speed of the plane in still air is 420 miles per hour and the wind speed is 84 miles per hour.
Explanation:To solve Dave and Sandy Hartranft's problem, we set up two equations for flying into and with the wind. For Dave and Sandy flying into the wind, we use the formula speed equals distance over time: P - W = 756 miles / 2 hours. This represents the plane's speed minus the wind speed equaling the distance traveled divided by the time taken. We denote P as plane's speed and W as wind speed.
On the return trip, with the wind behind them, we calculate plane's speed plus the wind speed based on the same formula: P + W = 756 miles / 1.5 hours. Solving these two equations, you get: P = 420 miles per hour (plane's speed in still air) and W = 84 miles per hour (wind speed).
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What is the radius, diameter, circumference,area of 3.5 cm. Please please help me
Answer:
radius=3.5 Diameter=7 Circumference=21.99 area=38.48
Step-by-step explanation: These are the answers, hope you found them helpful :)
Which quadrant is secant negative and cotangent is positive?
a)Q1
b)Q2
c)Q3
d)Q4
Answer:
c)Q3
Step-by-step explanation:
In the third quadrant, tangent and cotangent are positive while cosine and thus secant are negative. Therefore, the solution is C. Q3
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Find f(-5)
f(x)=-4x+3
A. -17
B. -7
C. 12
D. 23
Answer:
Step-by-step explanation:
f(x) = - 4x + 3
x = - 5
f(- 5) = - 4.(- 5) + 3
f(- 5) = 20 + 3
f(- 5) = 23
Alternative D
I hope I helped you.
Answer:
the answer is D
Step-by-step explanation:
Indicate the equation of the given line in standard form. The line with slope and containing the midpoint of the segment whose endpoints are (2, -3) and (-6, 5).
Answer:
x + y = -1
Step-by-step explanation:
To write the equation of a line, find the slope and use it with a point in the point slope form.
You can find the slope using the slope formula.
[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{5--3}{-6-2} = \frac{8}{-8}=-1[/tex]
Substitute m = -1 and the point (2,-3) into the point slope form.
[tex]y - y_1 = m(x-x_1)\\y --3 = -1(x-2)\\y+3=-1(x-2)[/tex]
Convert to standard form by applying the distributive property and rearranging the terms.
y+3 = -1(x-2)
y + 3 = -x + 2
x + y + 3 = 2
x + y = -1
what is the answer to
1/4[2-5x+6]
Answer:
Step-by-step explanation:
(1/4) (2-5x+6)
=(1/4)(8-5x)
= 8/4 - 5x/4
=1/2 - 5x/4
Solve the system of equations. Y = 2x-2 y = x^2-x-6
Answer: (-1, -4) and (4, 6)
Step-by-step explanation:
The pair of solution to the equations y = 2x - 2 and y = x² - x - 6
are (4, 6) and (-1, -4).
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have two equations:
y = 2x - 2
y = x² - x - 6
Equate both equations:
2x - 2 = x² - x - 6
x² - 3x - 4 = 0
Solving using the quadratic formula:
[tex]\rm x_{1,\:2}=\dfrac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\cdot \:1\cdot \left(-4\right)}}{2\cdot \:1}[/tex]
x = 4, -1
y = 6, -4
Thus, the pair of solution to the equations y = 2x - 2 and y = x² - x - 6
are (4, 6) and (-1, -4).
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The measure of angle between diameter
AB
and chord
AC
is 30°. A tangent to the circle at point C intersects line
AB
at point D. Prove that triangle ACD is isosceles
[tex]AB\: is \:the \:diameter\Rightarrow \widehat{ACB}=90°\Rightarrow \widehat{ABC}=180°-90°-30°=60° \: (1) \\ \bigtriangleup OBC \: has \: OB=OC=R\Rightarrow \bigtriangleup OBC \: is \: an \: isosceles \: triangle \: (2) \\ (1),(2)\Rightarrow \bigtriangleup OBC \: is \: an \: equilateral \: t riangle \Rightarrow \widehat{COB} =\widehat{COD} = 60° \\ CD \: tangents \: (O) \: at \: C\Rightarrow OC\perp OD \: at \: C\Rightarrow \widehat{OCD}=90° \\ \widehat{CDO}=180°-\widehat{OCD}-\widehat{COD}=180°-90°-60°=30° \\ In\: \bigtriangleup ACD,\widehat{CAD}=\widehat{CDA}=30°\\\Rightarrow \bigtriangleup ACD\: is\: an\: isosceles\: triangle\: at\: C[/tex]
Triangle ACD is an isosceles triangle, with AC = AD.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
Let O be the center of the circle, and let E be the point where the tangent line to the circle at point C intersects diameter AB.
Since OC is perpendicular to CE (tangent line at C), and OD is perpendicular to AB, angle ECD and angle OAD are alternate angles, and hence congruent.
Now,
Since the measure of the angle between diameter AB and chord AC is 30°, the measure of angle AOC is 60°.
The measure of angle OAD is also 60°.
Now,
Since angles ACD and OAD are congruent, and angle AOC is 60°,
we have:
angle ACD = angle OAD = 60°
Also,
Since OC is perpendicular to AC (radius of the circle),
we have angle OCA = 90°.
Now,
angle ACB
= angle OCA - angle AC0
= 90° - 30°
= 60°
Since angle ACD is equal to angle ACB, and angle AOC is also equal to 60°,
We have:
angle ACD = angle ACB = 60°
angle AOC = 60°
Therefore,
Triangle ACD is an isosceles triangle, with AC = AD.
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How many solutions does the equation 5x + 10 = 5x - 8 have?
Answer:
2
Step-by-step explanation:
The perimeter of a rectangular rug is 24 ft. The length of the rug is 1 2/5 its width. What is the area of the rug?
Answer:
35 ft²
Step-by-step explanation:
We set up a system of linear equations describing this rug and then solve it:
Perimeter: P = 2L + 2W
L = (1 2/5)W = 1.4W
Going back to the Perimeter equation, and knowing that P here is 24 ft, we have:
24 ft = 2(1.4W) + 2W, or 2.8W + 2W, or 4.8W.
Solve for W (width) by dividing both sides of this equation by 4.8:
W = 24 ft / 4.8 = 5
The width of the rug is 5 ft; the length is 1.4(5 ft), or 7 ft.
Thus the area of the rug is A = L * W, or A = (7 ft)(5 ft) = 35 ft²
As of 2008 the longest car ever built was 30.5 meters long. A meter is a little longer than a yard. Estimate the length of this car in feet.
The car would be about 90 ft
8000 in scientific notation
The solution to the number 8000 in scientific notation is 8 * 10³
Expressing the number 8000 in scientific notationFrom the question, we have the following parameters that can be used in our computation:
Number = 8000
Multiply the number by 1
So, we have
Number = 8000 * 1
Express 1 as 1000/1000
So, we have the following representation
Number = 8000 * 1000/1000
Next, we have
Number = 8 * 1000
Express 1000 as 10³
So, we have
Number = 8 * 10³
Hence, the solution is 8 * 10³
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factor 3x^2-19x+20
Final answer:
To factor the expression 3x² - 19x + 20, we find two numbers that multiply to 60 and add up to -19, which are -4 and -15. The expression can then be rewritten and factored by grouping to obtain the factors (x - 5)(3x - 4).
Explanation:
The question asks to factor the quadratic expression
3x² - 19x + 20
To factor this expression, we need to find two numbers that multiply to give the product of the coefficient of x² (which is 3) and the constant term (which is 20), and at the same time, add up to give the coefficient of x (which is -19). The two numbers that satisfy these conditions are -4 and -15, as (-4) * (-15) = 60 and (-4) + (-15) = -19.
Now, we can rewrite the expression by splitting the middle term:
3x² - 4x - 15x + 20
Factor by grouping: x(3x - 4) - 5(3x - 4)
The factors are: (x - 5)(3x - 4)
When rolling a number cube what is the probability of rolling a number greater than two
Answer:
it is 5/6
Step-by-step explanation:
it's easy. There are 5 numbers that are greater than 2.
Answer: the answer is 2/3 i took the test
Kerry is conducting a marketing survey. She mailed 45,128 surveys and received 17,892 responses. Approximately what percentage of people responded to the survey?
Answer:
Approx. 39.7%
Step-by-step explanation:
All you have to do is
17,892÷45,128
Answer:
40 %
Step-by-step explanation:
Percent = Responses/total surveys × 100 %
= 17 892/45 128 × 100 %
≈ 40 %
Approximately 40 % of people responded to the survey.
what is the slope of the line that passes through the points (-5,2) and (-7,6)
Answer:
-2
Step-by-step explanation:
slope is equal to: y2-y1
_______ =
x2-x1
6-2 4
______ = _____ = -2
-7-(-5) -2
Find the volume of each of the following rectangular solids. a. l = 6 meters, w = 2 meters, h = 3 meters b. l = 5 feet, w = 10 feet, h = 8 feet
Answer:
a.) is 36 square meters
b.) 400 square meters
Step-by-step explanation:
to find the Volume you must multiply the length, width, and the hight. so to find a.) V = lwh
6 x 2 x 3 = 36
36 square meters.
and you can use the same formula for b.)
Hope this helps!
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Volume of a) 36 cubic meter
Volume of b) 400 cubic feet
What is the formula of volume of rectangular solid ?
Let, Length of the rectangular solid = l unit
Width of the rectangular solid = w unit
And height of the rectangular solid = h unit
Then volume of rectangular solid = l × w × h cubic unit
What is the volume of first rectangular solid ?Given, Length of the rectangular solid = 6 meters
Width of the rectangular solid = 2 meters
And height of the rectangular solid = 3 meters
∴ Volume of the rectangular solid = (6×2×3) cubic meter
= 36 [tex]m^{3}[/tex]
What is the volume of second rectangular solid ?Given, Length of the rectangular solid = 5 feet
Width of the rectangular solid = 10 feet
And height of the rectangular solid = 8 feet
∴ Volume of the rectangular solid = (5×10×8) cubic feet
= 400 cubic feet
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What is the place value of the 2 in the 150.1235
The Answer is hundredths
Kim's softball team was playing in the championship game. When there were
4
44 innings left, the team was losing by a score of
1
7
1717 to
6
66 points. In the last
4
44 innings, her team scored the same number of points per inning, and the other team did not score any more points. Kim's team won with the most points.
Answer:
The inequality is
6+4r>17
The miminum number of runs per inning is
3.
Step-by-step explanation: