Answer:
The cost of each drink was $9.25 and the cost of each popcorn was $5.5
Step-by-step explanation:
Let the cost of each drink be d
Let the cost of each popcorn be p
Steven spends $138.50 for 12 drinks and 5 bags of popcorn. This implies that:
12d + 5p = 138.50 _________ (1)
Jennifer buys two drinks and seven bags of popcorn for a total of $57. This implies that:
2d + 7p = 57 ______________(2)
We have two simultaneous equations/
12d + 5p = 138.50 _________ (1)
2d + 7p = 57 ______________(2)
Multiply (2) by 6 and subtract (1) from it:
12d + 42p = 342
- 12d + 5p = 138.50
———————————
37p = 203.5
p = $5.5
Puutting the value of p back in (2):
2d + 7(5.5) = 57
2d + 38.5 = 57
2d = 57 - 38.5 = 18.5
d = 18.5 / 2 = $9.25
The cost of each drink was $9.25 and the cost of each popcorn was $5.5
a : 27=6:18, find a
Answer: 9
Step-by-step explanation:
The reason for this answer, is because when you decide 18 by 6 it gives you 3. Which means that when you devide 27 by 3 it will give you your answer. 9. You can make sure it’s correct when you do the math. 27/9=3. 18/6=3.
This way, your answers are equivalent to each other.
If you found this answer helpful, give it a five-star rating and a thanks! It would really mean a lot!
(Even a brainliest if you want ;D)
Answer:
a=9
Step-by-step explanation:cross multiply
WIll MARK BRAINLIEST IF ANSWER IN 2 MINUTES!!!! Which represents the equation 6 x + 3 y = 12 when solved for y? y = negative 2 x + 4 y = 2 x + 4 y = negative 2 x minus 4 y = 2 x minus 4
Answer:
y=-2x+4
Step-by-step explanation:
6x+3y=12
3y=-6x+12
y=-2x+4
Answer:
The correct answer is y A.) = -2x + 4
Step-by-step explanation:
i just did the test on edge 2020 and got it right
pls help me any bit can help need it asap though. only need part lll the words cutt of are show work
Answer:
y = 4/3 x - 3.
Step-by-step explanation:
III
y - 5 = 4/3(x - 6)
y = 4/3(x - 6) + 5
y = 4/3 x - 8 + 5
y = 4/3 x - 3.
You can compute the slope of a line by using the slope ___
You can compute the slope of a line by using the slope formula. This is given by:
slope,m=(change in y-axis)/(change in x-axis)
=(Δ y-axis)/(Δ x-axis)
Given the points (x1,y1) and (x,y) from a linear graph, then:
slope m will be:
m=(y-y1)/(x-x1)
You can compute the slope of a line by using the slope formula.
What is the value of 3 in 731.8?
Answer:
Tens
Step-by-step explanation:
the three is in the tens value
Answer:
value = 30
place = tens
Step-by-step explanation:
( attached for reference)
the digit "3" is in the tens place.
Hence the value is "3-tens" or 3 x 10 = 30
Help please! What are the first 4 terms of the arithmetic sequence in the graph?
Answer:
2, -2, -6, -10
Step-by-step explanation:
In this graph, the x value represents the count of the terms, while the y represents the value of each term. This means that the value of the first one is 2, the value of the second one is -2, the third one -6, and the fourth one -10. Hope this helps!
A mechanic cuts 14 pieces of copper
tubing from a coil. Each piece is 3 1/2
inches long. What is the total length
used?
Answer:
49
Step-by-step explanation:
14*3.5
Because 49/3.5 = 49
Thats how I got it
Hope it helps
without actually calculating the cubes, find the value of (16)^3+(-7)^3+(-9)^3
Answer:
(16)^3 = (7 + 9)^3 = 7^3 + 9^3 + 3 x 7^2 x 9 + 3 x 9^2 x 7
=>(16)^3 + (-7)^3 + (-9)^3 = (-7)^3 + (-9)^3 + 7^3 + 9^3 + 3 x 7^2 x 9 + 3 x 9^2 x 7
= [(-7)^3 + 7^3] + [9^3 + (-9)^3] + 3 x 7^2 x 9 + 3x9^2x7
= 0 + 0 + 3 x 7^2 x 9 + 3 x 9^2 x 7
= 3 x 7^2 x 9 + 3 x 9^2 x 7
= 3 x 9 x 7 x (7 + 9)
= 3 x 7 x 9 x 16
= 3 x 7 x 9 x 8 x 2
= 6 x 7 x 8 x 9
= 3024
Hope this helps!
:)
Four circles or diameter d cm are arranged in such a way that they touch each other (as shown below). A square is formed by joining the centres of the four circles.
What is the area of the shaded part?
A) d2(1-π)
B) d2(4-π)
C) d2/4-πd2/4
D) d2-πd2/4
Answer:
D. d^2 - πd^2/4.
Step-by-step explanation:
The sides of the square are equal to the diameter of the circles so the area of the square = d^2.
The shaded area = area of the square - 4 * the area of a quarter circle
= area of the square - area of 1 circle
= d^2 - π r^2
r = d/2 so
Area of the shaded part = d^2 - π (d/2)^2
= d^2 - π (d^2/4)
There is a bag filled with 3 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 reds?
Answer:
here
Step-by-step explanation:
The probability of getting 1 red is 4/7. The probability of getting 2 reds in a row is (4/7)^2 = 16/49.
PLEASE HELPPPPPPPPP
MARKING BRANLIEST
Answer:
A
A
5
Step-by-step explanation:
Rectangular Prism A
volume = length * width * height = 7 cm * 7 cm * 5 cm = 245 cm^3
Rectangular Prism B
volume = length * width * height = 8 cm * 6 cm * 5 cm = 240 cm^3
Answers:
A
A
5
plslslslsl help ASAPPPP 10 points and you win brainlist
Answer:
71
Step-by-step explanation:
Take the cost of the item and multiply by the commission percent
800 * 8.875%
Change to decimal form
800*.08875
71
Answer:
71
Step-by-step explanation:
Simon earns 8.875 for a commission. yet for him to sold a rowboat that cost $800.
800*8.875
=$71
what is to be added to -1 to get the number 7 by 5
Answer:
Step-by-step explanation:
let the number be x
-1 + x = 7/5
x = 7/5 +1
x = 12 /5
please mark me as the brainliest
Answer:
x=12/5
Step-by-step explanation:
20 POINTS !! PLEASE ANSWER THIS MATH QUESTION !!
Answer:
7.8
Step-by-step explanation:
Sine 50=6/x
x= 6/Sine 50
x=7.8
Answer:
h ≈ 7.8 cm
Step-by-step explanation:
Use sines to determine the length of the hypotenuse. You know that there is a 50 degree angle, and that the ratio for sine is opposite/hypotenuse. You know that the opposite side from that angle is 6 cm, so you can set up the following equation:
sin50 = 6/h
sin50h = 6
h ≈ 7.8 cm
Can someone help me with this?
will mark as brainliest.
What angle corresponds to ∠M?
Answer: Angle B
Step-by-step explanation:
Since the two shapes are similar. The angles stay with the shape. This means that angle M should correspond to angle B.
Answer: angle b .
Step-by-step explanation:
Na figura, OC é bissetriz do ângulo AOB. A medida de BÔC está representada,em graus, por uma expressão algérica.
A: Represente, por uma expressão algébrica, a medida de AÔB em graus.
B: Calcule a medida de BÔC e AÔB para x=9
Answer:
We know by given that OC bisects the angle, which means it divides the angle AOB in two equal parts. So,
[tex]m \angle AOB = 3x +5 + 3x +5 =6x+10[/tex]
If [tex]x=9[/tex], then we use this value to find each angle.
[tex]m \angle BOC = 3x+5 =3(9)+5=27+5=32[/tex]
Therefore, angles BOC and AOC measure 32°.
Three less than twice a number is seventeen. What is the number?
Given circle B, what is its diameter if its area is 56 square units?
Answer:
Diameter of the circle is 8.4 units
Step-by-step explanation:
To find the diameter of a circle with area of 56 square units, we will follow the steps below:
write the formula for calculating the area of a circle
area of a circle = πr²
from the question area= 56 units .
π is a constant which is ≈ 3.14
we can now proceed to substitute the values into the formula and solve for r
area of a circle = πr²
56 = 3.14×r²
divide both-side of the equation by 3.14
17.83 = r²
take the square root of both-side
√17.83 = √r²
4.2 =r
r= 4.2 units
but diameter = 2 r
diameter = 2×4.2
diameter = 8.4 units
Diameter of the circle is 8.4 units
Given ΔADC and ΔAEB, What is AE?
Answer:
AE = 43.2 units
Step-by-step explanation:
As per the given question image, it can be seen that in the [tex]\triangle ADC \text { and }\triangle AEB :[/tex]
1. [tex]\angle B = \angle C = 90^\circ[/tex]
2. [tex]\angle A[/tex] is common to both the triangles.
3. Two angles are common, so the third angle [tex]\angle E[/tex] is also equal to [tex]\angle D[/tex].
All the three angles in the [tex]\triangle ADC \text { and }\triangle AEB[/tex] are equal to each other, hence the triangles are similar.
As per the property of similar triangles, the ratio of their sides will be equal.
AB : AC = AE : AD
AC = 88 units
BC = 55 units
AB = AC - AB = 33 units
Let side AE = [tex]x[/tex] units
Side AD = AE + ED
So, AD = [tex]x + 72[/tex]
Using the ratio:
[tex]\dfrac{AB}{AC} = \dfrac{AE}{AD}\\\Rightarrow \dfrac{33}{55} = \dfrac{x}{x+72}\\\Rightarrow 55x = 33 \times 72\\\Rightarrow x = \dfrac{3\times 72}{5}\\\Rightarrow x = 43.2\ units[/tex]
So, AE = 43.2 units
distance between the point (-2, 4) and (10, -1)?
Answer:
13
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
d=√((x_2-x_1)²+(y_2-y_1)²)
√((10)-(-2))^2+(-1)-(4)^2)
√(144+25)
√(169)
13
Answer:
13
Step-by-step explanation:
Carlton and Will went fishing together. Carlton caught 21 bass and 7 walleye. Will caught 13 bass and 8 walleye. How many more fish did Carlton catch than Will?
Answer:
7
Step-by-step explanation:
Fish caught by Carlton= 21+7=28
Fish caught by Will= 13+8=21
Therefore, Carlton caught more fish
By how much=28-21=7
Tobias made a fruit salad with a blueberry to raspberry ratio of 8:6. Tobias' container of blueberries contains 72 blueberries. If he keeps to the same ratio, how many raspberries will Tobias use?
Answer:
54.
Step-by-step explanation:
8/6 = 72/ x where x is the number of raspberries.
8x = 6*72
8x = 432
x = 54.
The value of k, for which the system of equations x-3y+6=0, 4x-6y+.15=0 represent parallel lines, is:
A)1
B)2
C)3
D)4
Jordan is putting a fence around a garden that is shaped like a half circle and rectangle
Answer:
92 ft
Step-by-step explanation:
Assume the garden has the shape shown below.
The length of fencing equals the distance around three sides of the rectangle plus that around the semicircle.
1. Around the rectangle
Distance = 28 ft + 14 ft + 28 ft = 70 ft
2. Around the semicircle
For a circle.
C = 2πr
For the semicircle,
½C =½(2πr) = πr
D = 14 ft, so
r = 7 ft
[tex]\text{Distance} = \dfrac{22}{7} \times \text{7 ft} = \text{22 ft}[/tex]
3. Total distance
Distance = 70 ft + 22 ft = 92 ft
Jordan will need 92 ft of fencing.
Find the measure of angle DEH:
E
D
ti
+
F
56°
다.
G
Value: 10
The measure of angle DEH is ___ degrees.
Answer:
62
Step-by-step explanation:
I did 180-56=124
124/2 which was 62
Solve for a side in a right triangle
Answer:
1.88 = ?
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent / hypotenuse
cos 20 = ?/ 2
Multiply each side by 2
2 cos 20 = ?
1.879385242 = ?
To the nearest hundredth
1.88 = ?
If $5000 earns $6000 simple interest in 12 years, find the interest rate.
Answer:
2.2% interest
Step-by-step explanation:
Simply Savings Bank offers a simple interest rate of 10% per year. Compound Capital Bank offers an interest rate of 8% per year compounded continuously. If Shakira plans to invest $200 for 5 years, which bank should she choose?
Answer:
She should choose the Simply Savings Bank, since she'll earn around 2 dollars more in comparison to the other bank.
Step-by-step explanation:
A simple interest rate account yields a return that follows the formula below:
[tex]return = C + C*r*t[/tex]
Where C is the invested money, r is the interest rate and t is the elapsed time in years.
While a compound interest rate account yields a return that follows the formula below:
[tex]return = C*e^{r*t}[/tex]
Therefore for the Simply Saving Bank she'll earn:
[tex]return_{1} = 200 + 200*0.1*5\\return_{1} = 200 + 100\\retrun_{1} = 300[/tex]
While the Capital Bank she'll earn:
[tex]return_2 = 200*e^{0.08*5}\\return_2 = 200*e^{0.4}\\return_2 = 200*1.49182\\return_2 = 298.364[/tex]
She should choose the Simply Savings Bank, since she'll earn around 2 dollars more in comparison to the other bank.
The temperature was 54° at 7:00 a.M. At 3:00 p.M. On the same day, the temperature was 82°. What is the rate of change in temperature during this time?
Answer:
3.5°/hour
Step-by-step explanation:
Rate of change of temperature=change in temperature/Change in time
Change in temperature
=82° - 54°
=28°
Change in time=3:00pm - 7:00am
=8:00 hours
Rate of change of temperature=28°/8 hours
=3.5°/hour
Answer:
The rate of temperature change is 3.5 degree celcius per hour
Step-by-step explanation:
Here, we want to calculate the rate of change of temperature
Firstly, we calculate the number of hours it took the temperature to change
that mathematically = 15:00(3pm) - 7:00(7 am) = 8 hours
now let’s calculate the temperature rise = 82-54 = 28
The rate of temperature change is thus = change in temperature/ number of hours taken
= 28/8 = 3.5 degree celcius per hour
Find the remainder when p(x)= x^5 + x^4 + x^3 + x^2 + 2x + 2 is divided by q(x) = x + 1
Answer:
0
Step-by-step explanation:
Given a polynomial p(x) divided by (x + h), then the remainder is
p(- h)
Here divisor is (x + 1), so evaluate p(- 1) for remainder
p(- 1) = [tex](-1)^{5}[/tex] + [tex](-1)^{4}[/tex] + (- 1)³ + (- 1)² + 2(- 1) + 2
= - 1 + 1 - 1 + 1 - 2 + 2
= 0
This means that (x + 1) is a factor of p(x)
