Answer: 70-20x = 60-15x, where x is the number of pizzas purchased.
Step-by-step explanation:
(TLDR, the solution to the given equation is that the cards will have the same amount of money left on them if both jim and clara buy two pizzas each. feel free read my explanation on how to write equations like this in the future, should you need it.)
so, we know that since jim and clara received $70 and $60 gift cards (respectively), these numbers are called constants, because their original values do not depend on anything (they are given). while these numbers may decrease with the amount of pizzas bought, their original values are fixed.
now, the price for one pizza at jim's pizza restaurant is $20, right? so if you buy 2 pizzas, it'll be $40, 3 pizzas are $60, and so on. but we can actually represent the price of the pizzas as 20x (where x is the number of purchased pizzas, and 20 is the price of one pizza), and this expression works for any number of pizzas you buy. you can also apply this to clara's restaurant, as the total price of the number of pizzas she buys is represented by 15x.
the words charges and left in this problem tells you that you're going to need to subtract from the total amount of money on the gift cards. using the expressions above, the amount of money jim has left on his card can be expressed as 70 (amount of money on the card) MINUS 20x (number of money spent on however many pizzas were bought (x)). likewise, the amount of money left on clara's card after she buys however many pizzas can be represented as 60-15x. you can then set the equations equal to each other and solve for x, which tells you how many pizzas they each need to buy to have the same number of $$ left on their cards.
70-20x = 60-15x
10=5x
2=x. hope this helped :3
consider the line -7x-2y=6
find the equation of the line that is parallel to this line and passes through the point (-2,-6)
find the equation of the line that is perpendicular to this line and passes through the point (-2.-6)
The equations are;
a) y = -7/2x - 13
b) -2/7x - 46/7
What is the equation of the line?We know that the equation of the line that we have here can be written in the general form as the equation that is given as; y = mx + c
We have that
m = slope of the line
c = intercept of the line
As such, we have;
-7x-2y=6 or y = 6 + 7x/-2
or
y = -3 - 7x/2
For the parallel line m = - 7/2
y - (-6) = -7/2(x - (-2))
y + 6 = -7/2x - 7
y = -7/2x - 13
For the perpendicular line m = - 2/7
y - (-6) = -2/7(x - (-2))
y + 6 = -2/7x - 4/7
y = -2/7x - 46/7
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Please help!
Explain how to recognize a difference of two squares.
Answer:
WHEN THE SUM of two numbers multiplies their difference --
(a + b)(a − b)
-- then the product is the difference of their squares:
(a + b)(a − b) = a2 − b2
For, the like terms will cancel.
Symmetrically, the difference of two squares can be factored:
x2 − 25 = (x + 5)(x − 5)
x2 is the square of x. 25 is the square of 5.
The sum of two squares -- a2 + b2 -- cannot be factored. See Section 2.
Example 1. Multiply (x3 + 2)(x3 − 2).
Solution. Recognize the form:
(a + b)(a − b)
The product will be the difference of two squares:
(x3 + 2)(x3 − 2) = x6 − 4.
x6 is the square of x3. 4 is the square of 2.
Upon seeing the form (a + b)(a − b), the student should not do the FOIL method. The student should recognize immediately that the product will be a2 − b2.
That is skill in algebra.
And the order of factors never matters:
(a + b)(a − b) = (a − b)(a + b) = a2 − b2.
Step-by-step explanation:
(a+b)(a-b)
use a and b in the first bracket to multiply the next bracket ; a(a-b)+b(a-b)
a square-ab+ab-bsquare
help im no good at this
Answer:
8.2 × 10⁻³
Step-by-step explanation:
1.64 × 10⁰ 1.64 × 1 1.64
-------------- = -------------- = ---------- = 0.0082
2.0 × 10² 2 × 100 200
Scientific notation: 8.2 × 10⁻³
I hope this helps!
HELP DUE IN 15 MINS!
Find the measures of the numbered angles in the parallelogram.
m∠1 =?? degrees
° m∠2 =?? degrees
° m∠3 =?? degrees
Answer:
m∠1 = 25° (opposite angles are congruent)
m∠2 = 87° ⇒ 180 - (25 + 68)
m∠3 = 68° ⇒ 180 - (87 + 25)
Hope this helps!
Mitchell made a scale drawing of a house. A rug in the hallway is 5 inches wide in the drawing. The actual rug is 3 feet wide. What is the drawing's scale factor?
Simplify your answer and write it as a ratio, using a colon.
Answer:
Step-by-step explanation:
a.Scale factor = distance on the plot / actual distance
b.3 feet = 12 inchs.
so scale factor = 5/12
what is the equation of a line that is parallel to 4x+3y=12 AND passes through the point (3,4) ?
Answer:
Step-by-step explanation:
Given Line equation is 4x+3y=12 and point (3,4)
Given condition two line are parallel
Parallel means two straight lines having same slope.
From the above condition we can use "point-slope" equation.
[tex]y-y_{1} =m(x-x_{1} )[/tex]
From the given line equation we can find slope easily.
We can rewrite the line equation as [tex]y=-\frac{4}{3} x+4[/tex]
We can compare the above equation as y=mx+b
slope [tex]m=-\frac{4}{3}[/tex] and point [tex](x_{1} ,y_{1} )[/tex]=(3,4) submit in slope-point equation.
Becareful while submit point in the slope point equation.
Note:(Many students do mistakes while submitting point.
[tex]y-4=-\frac{4}{3}(x-3)[/tex]
solve and get the answer
Equation of line is 4x+3y=24
A solid right prism $ABCDEF$ has a height of $16,$ as shown. Also, its bases are equilateral triangles with side length $12.$ Points $X,$ $Y,$ and $Z$ are the midpoints of edges $AC,$ $BC,$ and $DC,$ respectively. A part of the prism above is sliced off with a straight cut through points $X,$ $Y,$ and $Z.$ Determine the surface area of solid $CXYZ,$ the part that was sliced off.
A solid right prism ABCDEF has a height of 16. A part of the prism is sliced off with a straight cut through points X, Y, and Z. CXYZ is a triangular pyramid and its surface area is 48 + 9√3 + 3√91 or 92.2
The situation can be depicted in the attached picture. CXYZ is a triangular pyramid.
The surface area of CXYZ is equal to:
area CXYZ = area ΔCXY + area ΔCYZ + area ΔCXZ + area ΔXYZ
ΔABC and ΔCXY are congruent, hence ΔCXY is a equilateral triangles with its sides are 1/2 those of ΔABC.
CX = CY = XY = 1/2 x 12 = 6
To find the area of ΔCXY, find its height first.
√3/2 = h/6
h = 3√3
Area ΔCXY = 1/2 x 3√3 x 6 = 9√3
ΔCXZ is a right triangle at C. Hence,
Area ΔCXZ = 1/2 x CX x CZ
= 1/2 x 6 x 8 = 24
ΔCYZ = ΔCXZ
Hence,
Area ΔCYZ = 24
To find the area of ΔXYZ, find XZ first using the Pythagorean Theorem.
XZ² = CX² + XZ² (XZ = 8, since Z is midpoint of CD)
XZ² = 6² + 8²
XZ² = 10²
XZ = 10
Find the height of ΔXYZ
h = √(10² - 3² )
h = √91
Therefore,
Area ΔXYZ = 1/2 x XY x h
= 1/2 x 6 x √91 =3√91
Finally,
area CXYZ = area ΔCXY + area ΔCYZ + area ΔCXZ + area ΔXYZ
= 9√3 + 24 + 24 + 3√91
= 48 + 9√3 + 3√91
= 92.2
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The triangle ACE, is a dilation image of triangle ABD. Point A is the center of dilation. Tell whether the dilation is an enlargement or a reduction. Then find the scale factor of the dilation. The length of side AC is 15.
Answer:
Enlargment and 5/4
Step-by-step explanation:
There are two sets of rainfall data for two different time periods in the same location.
Period 1: 2.3, 2.1, 2.2, 2.2, 2.2, 2.1, 2.4, 2.5, 2.2, 2.0, 1.9, 1.9, 2.1, 2.2, 2.3
Period 2: 2.3, 2.1, 3.3, 1.5, 3.6, 1.6, 3.0, 1.1, 4.7, 2.1, 2.4, 1.9, 2.8, 0.5, 2.3
What type of visual display could be used to compare the two data sets?
Answer:
Box - and - whisker and scatter plots
Step-by-step explanation:
A scatter plot or scatter gram chart can highlight the distribution patterns or demonstrate and compare the two data sets.
What is scatter plot ?
Dots are used to indicate values for two separate numeric variables in a scatter plot . The values for each data point are shown by the position of each dot on the horizontal and vertical axes.
Scatter plot shows the relationships between variables are visualized using scatter plots.
From the given data, it is observed that the given data is observed in the scatter plot.
The given data can highlight the distribution patterns or demonstrate and compare the two data sets.
Hence, a scatter plot or scatter gram chart can highlight the distribution patterns or demonstrate and compare the two data sets.
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Express (0.0425 + 25) as a fraction
Answer:
54 is the correct answer
ILL BRAINLIEST YOU PLEASE HELP ME
i don't know the answer to this question, but i can give you an example that way you can find your own answer!
possible answers for the example question:
65∘
115∘
35∘
75∘
85∘
To find the measure of angle DAC, we must know that the interior angles of all triangles sum up to 180 degrees. Also, as this is an isosceles trapezoid, ∠ADC and ∠BCD are equal to each other. The two diagonals within the trapezoid bisect angles ∠ADC and ∠BCD at the same angle.
Thus, ∠ACD must also be equal to 50 degrees.
Thus, ∠ADC=50+15=65.
Now that we know two angles out of the three in the triangle on the left, we can subtract them from 180 degrees to find ∠DAC:
180−65−50=65
the correct answer for the example question is 65 degrees
V lot
6 cm
2.
5.1 cm
Find the area of the parallelogram.
Answer:
13.26cm^2
Step-by-step explanation:
Karen made 5 less than 4 times the number of free
throws that Kimi made. Write an expression in
simplest form that represents the total number of free
throws made by both players.
I don’t understand how to get my answer
answer:
5x-5
step-by-step explanation:
from the question, it can be determined that karen makes 4x-5 (x representing the amount of free throws made by kimi). since the question is asking you to find the total or sum of their free throws, you add 4x-5 and x to get the answer above. hope that helps!
Work out the size of angle x
Answer:
x = 13
Step-by-step explanation:
There is more than one 98-degree angle since they are all corresponding interior angles.
The supplementary angle to the 98-degree angle next to the triangle is:
180 - 98 = 82 degrees
In addition, another angle inside the triangle is an 85-degree angle. This is because this 85-degree angle is opposite adjacent to the other 85-degree angle.
Hence, the angles inside the triangle are: x, 85, and 82
x + 85 + 82 = 180 ==> Triangles add up to 180 degrees
x + 167 = 180 ==> simplify
x = 13 degrees ==> subtract 167 on both sides
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Choose the right one.
Answer:
Skewed Right
Step-by-step explanation:
Took the test
Answer:
C
Step-by-step explanation:
Approximately how many cubic centimeters of water can each cup hold?
301 cubic centimeters
201 cubic centimeters
226 cubic centimeters
75 cubic centimeters
Answer:
75
Step-by-step explanation:
what's the answer for 9-5x+2=4-5x
Answer:
0x = -7
Step-by-step explanation:
-5x+5x = 4-9-2
0x = -7
Which one of these is the same as 8 + (4 + 10)?
A. 8 × (4 + 10)
B. 8 + (10 + 4)
C. (8 + 4) + (8 + 10)
D. 8 + (4 × 10)
Answer:
[tex]i \: think \: no \:{{b}}[/tex]
B IS YIHR ANSWER
I HOPE IT HELPS
HAVE A NICE DAY
#Captainpower
will give 25 points and brainliestto first answer
Answer:
[tex]{\boxed{\boxed{\tt { TYSM!!}}}} \ [/tex]
Answer:
Step-by-step explanation: hi
EX 2
QUAD ABCD is a rectangle with
diagonals that intersect at point P.
AC = 4x-13 and DP = x + 7. Find the
value of 'x'.
QUAD ABCD is a rectangular shape whose diagonals meet at point P. AC is 4x-13 and DP is x + 7.
Can you show that the quadrilateral ABCD is a parallelogram given the provided information?When one set of opposing sides in a quadrilateral are congruent and parallel, the quadrilateral is a parallelogram. ABCD is a parallelogram if — BC — AD and — BC — AD. A quadrilateral becomes a parallelogram if its diagonals are bisected by one another.
In QUAD ABCD, DP equals x + 7 and AC is 4x-13.
4x - 13 is x + 7 + x + 7
4x - 13 = 2x+14
2x-13 = 14.
hence,
The value of x is 13.5.
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How many solutions does the system in the image shown
A:one solution
B:zero solutions
C:infinitely many solutions
Answer:
c
Step-by-step explanation:
Q2. The bakers at Healthy Bakery can make 170 bagels in 10 hours.
A. How many bagels can they bake in 13 hours?
Answer:
probably 510, not sure but you can try!
Step-by-step explanation:
Answer:
221 bagels.
Step-by-step explanation:
170 bagels are made in 10 hours.
So, Number of bagels baked in 1 hour = [tex]\frac{170}{10}[/tex]
= 17 bagels an hour
Number of bagels in 13 hours = Number of bagels made in an hour x 13
= 17 x 13
221 bagels will be made in 13 hours.
Target offers a discount if you spend at least $50. Write an inequality to represent d, how much you must spend to receive the discount.
Answer:
d ≥ 50
Step-by-step explanation:
To receive the discount, you must spend at least $50, which can be represented by the inequality d ≥ 50. This inequality means that the amount you must spend (d) is greater than or equal to $50. If you spend more than $50, you will receive the discount. If you spend less than $50, you will not receive the discount.
Help with math question please
Can you pls help me with this
Answer:
y = x - 2
Step-by-step explanation:
Slope intercept form of an equation: y =mx +bHere m is the slope and b is the y-intercept.
Choose any two points on the line.
(2,0) ; (0,-2)
Now, find the slope.
[tex]\sf \boxed{Slope = \dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]= \dfrac{-2 - 0}{0 - 2}\\\\=\dfrac{-2}{-2}\\\\= +1[/tex]
m = 1.
Now, y = 1x + b
The (2 , 0) passes through the line. Substitute x = 2 and y = 0 in the above equation and find the value of 'b'.
0 = 1*2 + b
0 = 2 + b
-2 = b
Equation of line:
y = x - 2
Stella is running a bakery. She has made a street sign to direct people to her bakery. She painted one side of the post and sign. What is the painted area. 75, 8, 12, 12, 4 1. 11 2. 13 3. 21 4. 4
Answer:
768 square inches
Step-by-step explanation:
Area of the rectangle = length × width
Length = 75 in
Width = 12 in
Area of the rectangle = length × width
= 75 in x 8 in
= 600 in²
Area of the square = length ²
Length = 12 in
Area of the square = length ²
= 12 in²
= 12 in × 12 in
= 144 in²
Area of a triangle = 1/2bh
b = base = 12 in
h = height = 4 in
Area of a triangle = 1/2bh
= 1/2 * 12 in * 4 in
= (1*12*4)in² / 2
= 48 in² / 2
= 24 in²
Total area of the painted part of the street sign = Area of the rectangle + Area of the square + Area of a triangle
= 600 in² + 144 in² + 24 in²
= 768 in²
Someone please help! I’ll give brainliest
Answer:
1520.53
Step-by-step explanation:
Formula for figuring out volume is
Pi*r^2*height=volume
3.14*5.5^2*16
1520.53
Hope this helps :)
Jo ha three metal block. The weight of each block i the ame. When he weighed one block againt 8 gram, thi i what happened
The block weighed 8 grams. The other two blocks average have weighed the same amount as the first block, so they also weighed 8 grams each.
1. Joe has three metal blocks.
2. The weight of each block is the same.
3. Joe weighed one of the blocks against 8 grams.
4. The block weighed 8 grams.
5. The other two blocks must have weighed the same amount as the first block, so they also weighed 8 grams each.
Joe had three metal blocks that all weighed the same. He weighed one of the blocks against 8 grams, and it weighed exactly 8 grams. This meant that the other two blocks must also have weighed 8 grams each, since the weight of all three was the same. Joe was able to determine the weight of all three blocks with just one measurement.
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Help
There were 16 bald eagles in an
area. Some years later, there
were 28 bald eagles in the area.
What is the percent gain?
[? ]%
Answer:
75%
Step-by-step explanation:
16 increases by 75 percent in order to reach 28.
Help pls giving brainliest
Answer: False i think
Step-by-step explanation: