Answer:
Plates are 2.80 Dollars and cups are 1.40 dollars
Step-by-step explanation:
Cups = c
Plates = p
6p + 5c = 23.80 ==> multiply by 6 ==> 36p + 30c = 142.80
7p + 6c = 28.00 ==> multiply by 5 ==> 35p + 30c = 140.00
Now use algebra to have the 30c be on one side and the rest on the other:
36p + 30c = 142.80 | -36p
30c = 142.80 - 36p
35p + 30c = 140.00 | -35p
30c = 140.00 - 35p
Now set them equal to each other about the 30c:
142.80 - 36p = 140.00 - 35p
Use algebra to solve for p:
142.80 - 36p = 140.00 - 35p | +36p
142.80 = 140.00 + p | - 140
2.80 = p
Go back to one of the "30c" equations and plug in the value for p:
30c = 140 - 35p
30c = 140 - 35(2.80)
30c = 140 - 98
30c = 42 | /30
c = 42/30
c = 1.4
Answer:
the cost of 1 plate $4.1
the cost of 1 cup $1.5
Step-by-step explanation:
6p + 5c = 32.10
7p + 6c= 37.70
Multiply the first by 6
Multiply the second by -5
and then ADD both
36p +30c = 192.6
-35p-30c = -188.5 (30c is cancelled)
p = 4.1
4.1(6) +5c = 32.10
24.6 +5c = 32.10
5c = 7.5
c= 1.5
1.5(5) =7.5
24.6 + 7.5 = 32.10
Find the value of angle A and angle B pls help (:
Answer:
m<A=97
m<B=97
Step-by-step explanation:
m<A=m<B
Congruent angles and they are vertical angles. The other two are also the same because the angles given have the same degrees.
m<A is supplementary to 83 degrees
Supplementary angles are two angles that sum up to 180 degrees.
180-83=97
97 degrees is the answer for each missing angles.
I NEED HELP ASAP PLEASE
Answer: x = 8.3334
Step-by-step explanation:
assuming im solving for x ??
(6x + 8) + (19x - 3) = 180
21x + 5 = 180
- 5 - 5
21x = 175
/ 21 / 21
x = 8.3334
Which of the following shapes is the base of a cone?
O A. Circle
O B. Pentagon
O C. Triangle
OD. Square
The shapes is the base of a cone is Circle.
What is Circle?A circle is often referred to as the locus of points drawn equidistant from the centre. The radius of a circle is the distance between its centre and its outer line. The diameter of a circle is the line that divides it into two equal sections and is equal to twice the radius.
A circle is a fundamental 2D form that is measured by its radius.
We have a Cone.
A Cone if compared as two dimensional then a cone have have Triangular shape.
and, the base of cone have a circular shape.
Thus, the shape of base of cone is Circle.
Learn more about Circle here:
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13 and 14, 10 points no links please
Answer:
13 is c
14 is b
Step-by-step explanation:
Can someone help me on this plzzz and thank you
Answer:
-1.5
Step-by-step explanation:
5x6=30
30-21=9
9/6=1.5
remember tht the answer is NEGATIVE,, thnk u hav a good nite
1. Alex bought 2 buckets of baseballs that cost $19.49 each, a bat that cost $125.50, and 2 pair of baseball socks that totaled $29.50. The tax on Alex's purchases equaled $16. How much change did Alex receive if he paid with three $100 bills?
Answer:
$90.02
Step-by-step explanation:
Solve
Formula: Change money = paid money – bill. Paid money = change + bill.
Given: 2 buckets of baseballs that cost $19.49 each
A bat that cost $125.50, and 2 pairs of baseball socks that totaled $29.50
Tax on Alex's purchases equaled $16.
Paid with three $100 bills.
To find: How much change Alex received if he paid with three $100 bills
Total payment + Total Tax -Total cost
19.49 + 125.50 + 29.50 = 174.49 (Don't add the $16 tax because that will be taken from the amount we pay)
∴, three 100 bills is 300
So, 300 - 174.49 = 109.51
109.51 - 16 = 90.51
90.51 - 0.49 = $90.02
What are the angle measures of the triangle?
A. 30°, 60°, and 90°
B. 45°, 45° and 90°
C. 60°, 60°, and 60°
D. They cannot be determined.
8. Jackie converted the following decimals to fractions. Which decimal did she
convert incorrectly?*
0.005
0.3
0.625
0.8
Please hurry and answer
Answer:
B
Step-by-step explanation:
Answer:
it's 0.625
Step-by-step explanation:
A scale model of a building is 8 inches tall. The actual building is 120 feet tall. What is the scale factor of the model? (1ft. = 12 in.)
Answer:
1:180
Step-by-step explanation:
We start by multiplying the 120 feet by 12 inches to get the height of the building in inches, which is 1440.
Then, we have a ratio of 8:1440, which simplifies to 1:180 when we divide 1440 by 8.
The required scale factor of the given model is 1/180.
What is a scale image?Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.
A building scale model is 8 inches tall. The original structure stands 120 feet tall.
Here 1 foot is equal to twelve inches which is given in the question.
As per the given situation, the required solution would be as :
Firstly we have to multiply 120 feet by 12 inches to obtain the building's height in inches, which is 1440.
The result is an 8/1440 ratio, which simplifies to 1/180 when 1440 is divided by 8.
Therefore, the required scale factor of the given model is 1/180.
Learn more about the Scale images here:
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Cuantas cajas de gelatina con volumen de 500cm cúbicos caben en una caja de 1m cúbico?
Answer:
2000 cajas de gelatina.
Step-by-step explanation:
Answer:
2000 cajas de gelatina.
Step-by-step explanation:
1 m^3 : 1 000 000 cm^3
Hallamos las cajas de gelatina :
1 000 000 cm^3 / 500cm^3 = 2000
Respuesta : 2000 cajas de gelatina.
If a line contains the point (0, 1) and has a slope of 2, then which of the following points also lies on the line? (1,3) (3,1) (2,2) (2,3)
Answer:
(1,3)
Step-by-step explanation:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis, or when x is equal to 0).
We're given that this line contains the point (0,1). This tells us that the y-intercept (b) of the line is 1. We're also given that this line has a slope (m) of 2. Plug these values into [tex]y=mx+b[/tex]:
[tex]y=2x+1[/tex]
Now, plug in all of the possible points to see which are solutions.
1) (1,3)
[tex]3=2(1)+1\\3=2+1\\3=3[/tex]
Because the left side of the equation is equal to the right, (1,3) also lies on this line.
2) (3,1)
[tex]1=2(3)+1\\1=6+1\\1=7[/tex]
Because the left side is not equal to the right, (3,1) does not lie on the line.
3) (2,2)
[tex]2=2(2)+1\\2=4+1\\2=5[/tex]
Because the left side is not equal to the right, (2,2) does not lie on the line.
4) (2,3)
[tex]3=2(2)+1\\3=4+1\\3=5[/tex]
Because the left side is not equal to the right, (2,3) does not lie on the line.
I hope this helps!
A rectangular sheet of cardboard 3 feet by 5 feet will be made into an open box by cutting equal-sized squares from each corner and folding up the four edges. A diagram of the unfolded box is provided in figure, the shaded region represents the area
that was cut from the corners of the box. What is the largest volume of such a box?
Answer:
4[tex]x^{3}[/tex] - 16[tex]x^{2}[/tex] + 15x
Step-by-step explanation:
length = 5 - 2x
width = 3 - 2x
heighth = x
x(5 - 2x)(3 - 2x)
x(15 -16x + 4[tex]x^{2}[/tex])
4[tex]x^{3}[/tex] - 16[tex]x^{2}[/tex] + 15x
The largest volume of such a box is 4.345[tex]ft^{3}[/tex].
Given that,
A rectangular sheet of cardboard 3 feet by 5 feet will be made into an open box by cutting equal-sized squares from each corner and folding up the four edges.
The shaded region represents the area that was cut from the corners of the box.
We have to determine,
The largest volume of such a box.
According to the question,
The height will be x
The width will be (3 − 2 x)
And the length will be ( 5− 2 x)
.
The formula for volume will be,
[tex]Volume = Length \times Height \times Width\\\\[/tex]
Substitute the values in the formula,
[tex]Volume = x(3-2x).(5-2x)\\\\Volume = (3x-6x^{2}).(5-2x)\\\\Volume = 3x(5-2x) - 6x^{2}(5-2x)\\\\Volume = 15x - 6x^{2} - 30x^{2} + 12x^{3}\\\\Volume = 12x^{3} -36x^{2} + 15x[/tex]
Then,
To Find the derivative of the equation,
[tex]V = 12x^{3} -36x^{2} + 15x\\\\Differentiate\ with\ respect\ to\ x\ both\ sides,\\\\\dfrac{dv}{dx} = \dfrac{d(12x^{3} -36x^{2} + 15x)}{dx}\\\\V' = 36x^{2} - 72x+15[/tex]
The critical numbers by seeing where V ' = 0,
[tex]= 36x^{2} -72x +15\\\\= 3 ( 12x^{2} - 24x +5 )\\[/tex]
By using the quadratic formula or your calculator to solve for
x = 0.23, and 1.6
x = 1.6 is not in the domain since that would make one of our side lengths less than zero. x = 0.23
Plug x back into the equations to get the dimensions,
[tex]3-2x = 3- 2 \times -0.23 = 3+0.46 = 3.46\\5-2x = 5 - 2 \times -0.23 = 5+0.46 = 5.46[/tex]
Therefore, the dimension are 0.23 ft x 3.46 ft x 5.46 ft.
Hence, The largest volume of such a box is 4.345[tex]ft^{3}[/tex].
To know more about Dimension click the link given below.
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PLEASE HELP ILL GIVE BRAINLIEST ASAP
Answer:
Jody has to pay $14.24 for total after splitting the tip amount with Karen.
Hope this helps!!!!!
Find an equivalent ratio in simplest terms:
56 : 22
Find the perimeter of the rectangle
I don’t understand this someone explain
Answer:
38cm
Step-by-step explanation:
12.6 x 2= 25.2
6.4 x 2= 12.8
25.2 + 12.8= 38
1 2/3 + 1 1/2 what is the answerrrrrrrrr
Hi!
[tex]1 \frac{2}{3} + 1 \frac{1}{2} = 1 \frac{4}{6} + 1 \frac{3}{6} = 2 \frac{7}{6} = 3 \frac{1}{6} [/tex]
Greetings!
what is y=36^2 x 49
HELP MEEEEEEEEE!!!!!!!!
Answer: y=36^(2)x*49
Step-by-step explanation: Graph.
Brainliest or a thank you if im right please :)) <3
The temperature in an oven changes from 350 degrees to 362% What is the percent increase in temperature, to the nearest tenth of a percent?
Answer:
3.43%
Step-by-step explanation:
362-350=12
12:350*100 =
(12*100):350 =
1200:350 = 3.43
© A new car cost $14875. Three years later, the insurance company valued it at $10700. Calculate the percentage
reduction in value over the three years.
Answer: either I don't understand the question or its 72% and I'm fairly certain its 72%
“The class buys 3 bags of apples. Each bag has 24 apples. The total cost of the 3 bags of apples is $12.24. The class sells the apples for $0.75 each. How much money will the class gain per apple”
Anne has worn a black shirt on 6 of the last 20 days. Considering this
data, how many times would you expect Anne to wear a black shirt in the
next 10 days?
Answer:
3
Step-by-step explanation:
Considering she wore a black shirt 6 times in 20 days will give you the statistic of 3/10. If the question is about the next 10 days then she will wear 3 black shirts. (It's also 1/2 of the original question.)
1. list the pairs of alternate exterior angles
2. list the pairs of corresponding angles
3. if m<a is 112°, find the measure of the remaining angles
Answer:
1. m<a and m<h, m<e and m<d
2.m<a and m<c, m<b and m<d, m<e and m<g, m<f and m<h
3. m<a= 112
m<c=112
m<f=112
m<h=112
m<b=68
m<d=68
m<e=68
m<g=68
what is the measure of EACH exterior angles t
of the polygon shown?
Answer:
45 degrees
Step-by-step explanation:
The following shape is an octagon, having 8 sides and knowing that any regular polygon has an exterior angle value of 360 degrees, you can say 360/8 to find the measure of each exterior angle, leading to equal 45 degrees.
Hope it helped! (:
Please help me with my math ASAP!
Hello !
Answer:
[tex]\large\boxed{\sf Option\ 3 : 66cm}[/tex]
Step-by-step explanation:
The circumference of a circle is given by [tex]\sf C=2\times\pi\times r[/tex], where r is the radius.
Given :
d = 21 cmr = d/2 = 10.5 cmπ =3.14Let's replace r with its value in the previous formula :
[tex]\sf C=2\times 3.14\times 10.5[/tex]
[tex]\sf C=65.94[/tex]
[tex]\boxed{\sf C\approx 66cm}[/tex]
Have a nice day
Math question plz help
y=5x-3 I think so.....
what is the answer to 1/3=n+3/4
Answer: n=-5/12
Step-by-step explanation: 1/3-3/4=-5/12
hoped this helped :))
Answer: n= 5/12
Step-by-step explanation: 13=+3413=n+3431=n+4313−34=+34−34
Hope this helps!
A filter in the shape of a cone has a diameter of 3 inches and a height of 4 inches.
How much liquid can the filter hold without it overflowing?
A.
B.
C.
D.
Answer:
9.42 cubic inches
Step-by-step explanation:
We are to find the volume of the cone.
The formula is given as:
1/3πr²h
From the question,
Diameter = 3 inches, Radius = D/2 = 3/2
r = 1.5 inches
h = 4 inches
Hence, the volume of the cone =
1/3 × π × 1.5² × 4
= 9.42 cubic inches
Therefore, the filter can hold 9.42 cubic inches of liquid without overflowing.
Find the equation of the line of the graph
Answer:
So this is a negative slope remember this. We are going to use y = mx + b
m is the slope b is the y intercept. In this problem, the y intercept is 6.
The slope is -2;
Y = -2x + 6
Step-by-step explanation:
After 2 hours, the air temperature had risen 7° f. How long will it take at this rate for the temperature to rise an additional 13°f?
Answer:
21 hours
Step-by-step explanation:
After 2 hours the temperature has risen to 7°f
The time taken to rise to an additional 13°f can be calculated as follows
1 hour takes 3.5°f
13°f = 3.5×6
= 21 hours
Hence it would take 21 hours
pls answer this tyyyyy
Answer:
110 is the answer
Step-by-step explanation:
