Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Tara and Jane just had business cards made. Tara's printing company charged a one-time setup fee of $10 and then $16 per box of cards. Jane, meanwhile, ordered hers online. They cost $17 per box. There was no setup fee, but she had to pay $6 to have her order shipped to her house. By coincidence, Tara and Jane ended up spending the same amount on their business cards. How many boxes did each buy? How much did each spend?
Tara and Jane each bought _____ boxes of business cards, spending $______
Answers
Tara and Jane just had business cards made. Tara's printing company charged a one-time setup fee of $10 and then $16 per box of cards. Jane, meanwhile, ordered hers online. They cost $17 per box. There was no setup fee, but she had to pay $6 to have her order shipped to her house. By coincidence, Tara and Jane ended up spending the same amount on their business cards. How many boxes did each buy? How much did each spend?
Tara and Jane each bought 4 boxes_____ boxes of business cards, spending $__74____
Related Questions
tire rim has a diameter of 15 in. What is the circumference of the tire rim? Use 3.14 for Pi.
23.55 in.
46.10 in.
47.1 in.
94.2 in.
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Answer:
The correct option is C. 47.10 inches
Step-by-step explanation:
Diameter of the tire rim is given to be 15 inches
So, The radius of the tire rim will be 7.5 inches
Now, we need to find the circumference of the tire rim
And, The circumference of the tire rim is given by the formula :
Circumference = 2·π × radius
⇒ Circumference of the tire rim = 2 × 3.14 × 7.5
⇒ Circumference of the tire rim = 47.1 inches
Therefore, The correct option is C. 47.10 inches
What product does the model show? (See The Picture) (80 points)
Answers
Answer:
1040
Step-by-step explanation:
(10+4)×(20+6)=14×26
3x + 2y = 4
4x + 3y = 7
Answers
Which number can be used as a common denominator for the fractions 1/4 and 5/6? Check all that apply.
[] 2
[] 6
[] 12
[] 16
[] 24
Answers
Right triangle ABC is similar to right triangle DEF. If the side lengths for triangle ABC are 15, 20, 25, respectively, which values could represent the side lengths of triangle DEF
Answers
Answer:
[tex]A = 15[/tex] [tex]B = 20[/tex] [tex]C = 25[/tex]
[tex]D = 30[/tex] [tex]E = 40[/tex] [tex]F = 50[/tex]
[tex]D = 3[/tex] [tex]E = 4[/tex] [tex]F = 5[/tex]
Step-by-step explanation:
Given
Similar Triangles: ABC and DEF
[tex]A = 15[/tex]
[tex]B = 20[/tex]
[tex]C = 25[/tex]
Required
Determine the sides of DEF
No options were given, so I will solve on a general terms.
Since both triangles are similar, then the following relationship exists.
DEF = ABC * n
i.e.
[tex]D = A * n[/tex] [tex]E = B * n[/tex] [tex]F = C * n[/tex]
Where
[tex]n = Scale\ Factor[/tex]
Assume n = 2.
So, we have:
[tex]D = A * n[/tex]
[tex]D =15 *2[/tex]
[tex]D = 30[/tex]
[tex]E = B * n[/tex]
[tex]E = 20 * 2[/tex]
[tex]E = 40[/tex]
[tex]F = C * n[/tex]
[tex]F = 25 * 2[/tex]
[tex]F = 50[/tex]
Assume [tex]n = \frac{1}{5}.[/tex]
So, we have:
[tex]D = A * n[/tex]
[tex]D =15 *\frac{1}{5}[/tex]
[tex]D = 3[/tex]
[tex]E = B * n[/tex]
[tex]E = 20 * \frac{1}{5}[/tex]
[tex]E = 4[/tex]
[tex]F = C * n[/tex]
[tex]F = 25 * \frac{1}{5}[/tex]
[tex]F = 5[/tex]
So, the possible sides are:
[tex]A = 15[/tex] [tex]B = 20[/tex] [tex]C = 25[/tex]
[tex]D = 30[/tex] [tex]E = 40[/tex] [tex]F = 50[/tex]
[tex]D = 3[/tex] [tex]E = 4[/tex] [tex]F = 5[/tex]
Pls Help me with this property
Answers
Hope this helps
Find the value of x.
2x
80
27
60
X =
Answers
Answer:
x = 18
Step-by-step explanation:
The inner and outer triangles are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{80}{80+2x}[/tex] = [tex]\frac{60}{60+27}[/tex] = [tex]\frac{60}{87}[/tex] ( cross- multiply )
60(80 + 2x) = 6960 ← divide both sides by 60
80 + 2x = 116 ( subtract 80 from both sides )
2x = 36 ( divide both sides by 2 )
x = 18
The diagram shows a wedge in the shape of a prism angle BCF is a right angle A string runs diagonally across the wedge from Ato F Calculate the length A F Give your answer correct to 3 significant figures
Answers
Answer:
19.3 cmStep-by-step explanation:
Use Pythagorean theorem to calculate:
BF = √11² + 5² = √121+25 = √146Same method for FA, the diagonal of rectangle ABFE
FA = √15² + 146 = √225+146 = √371 = 19.3 cm rounded up to 3 significant digitsSolve for y:-4x+2y=6
Answers
Step-by-step explanation:
just going tell u to use math
way
Answer: B
Step-by-step explanation:
-4x + 2y = 6 add 4x to both sides
+4x +4x
2y = 4x + 6 Divide both sides by 2
y = 2x + 3
Whats the equation and slope Brainlyest to whoever gets right + 20 PTS
Answers
Answer:
Equation: y = 1/5x - 2
Slope (m): 1/5
The graph of the line equation y = 1/5x - 2 is also attached below.
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptGiven the ordered pairs
(5, -1)(-5, -3)Finding the slope between the points (5, -1) and (-5, -3)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(5,\:-1\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-3\right)[/tex]
[tex]m=\frac{-3-\left(-1\right)}{-5-5}[/tex]
Refine
[tex]m=\frac{1}{5}[/tex]
Thus, the slope (m) = 1/5
Also given that the y-intercept b = -2
Now, substituting m = 1/5 and y-intercept b = -2 in the slope-intercept form
y = mx+b
y = 1/5x + (-2)
y = 1/5x - 2
Therefore, the equation of the line is:
y = 1/5x - 2The graph of the line equation y = 1/5x - 2 is also attached below.
Grayson just lit a new candle and then let it burn all the way down to nothing. The candle burned at a rate of 0.75 inches per hour and its initial length was 12 inches. Make a table of values and then write an equation for L,L, in terms of t,t, representing the length of the candle remaining unburned, in inches, tt hours after the candle was lit.
Answers
Step-by-step explanation:
In this example, I made h height.
For this situation, you would use y=mx+b.
If we use this formula, m would be slope. 1.5 is the slope and we are decreasing the size of the candle, which makes -1.5.
x would be t because that's the independent variable.
Since the initial height was 15 inches, 15 would be our starting point or y-intersept, which is b.
So if you put that together, you get h=-1.5t+15.
You can rearrange that to the answer above.
-5/8+w=5/8
Solve thank you !
Answers
Answer:
Hey:D
Step-by-step explanation:
w=5_4 5 ontop 4 in the bottom
Answer:
w=5/4
Step-by-step explanation:
FIRST PERSON TO ANSWER WILL GET BRAINLIEST
Emma bought a sweater that was 20% off. She paid $36 for the sweater, What was the original cost of the sweater?
Please hurry!
Answers
Answer:
$45
Step-by-step explanation:
let's work backwards. We know that it was 20% off, or otherwise 80% of the original cost. Let's represent the original cost with x:
0.8x = 36
Now we solve for x by dividing both sides by 0.8:
x = 45
Thus, the sweater was originally $45
Answer:
i hope i helped i wasnt sure how to answer
Step-by-step explanation:
Can y’all plz help me ?
Answers
Answer:
x=-5
Step-by-step explanation
The first box has eight x's and six 1's which means that it would be written as 8x+6
The second box has four x's and fourteen -1's which means that it would be written as 4x-14
You set them equal to one another
8x+6=4x-14
You subtract 4x from both sides
4x+6=-14
Subtract 6 on both sides
4x=-20
Divide 4 on both sides
x=-5
Hope it helps :))
Solve the system using substitution.
2x = 5y + 14
x = 5y
Answers
Answer:
y = 2.8x = 14Step-by-step explanation:
To solve an equation, we can only have one variable. In this case, we are given the system 2x = 5y + 14. However, we are given the value of x in terms of y. We can substitute 10y in for 2x and solve.
10y = 5y + 14
First, we need to get all the variables on one side of the equation, so we subtract 5y.
5y = 14
Divide by 5
y = 14/5 or 2 4/5 or 2.8
Now for the x part.
2x = x + 14
Subtract 1x
x = 14
Now we check our answer.
2(14) = 5(2.8) + 14
28 = 14 + 14
28 = 28
Because 28 equals 28, our solutions are correct.
The number of students in a chess club decreased from 45 to 17. What is the percent decrease? Round
your answer to the nearest percent.
The percent decrease is
1%.
Answers
Answer:
original price =45
change in price=45-17= 28
precentage decrease = original price/change in price x 100
= 28 /45x 100
= 62.22%
Which capital letters in ISOSCELES produce the same letter after being rotated 180° in the plane of the page?
Answers
Answer:
S...
Step-by-step explanation:
Because letter S is the last letter
Solve.
12 1 / 2 - (- 4 1/2) =
Answers
Answer:
17
Step-by-step explanation:
Answer:
The answer is 17
A binary operation (+)is defined on the set R of real numbers by a(+)b=a2+b2 -ab for all a,b,e,r solve the equation 4(+)a=28
Answers
Answer:
m,
Step-by-step explanation:
what is a triangle that can measure 8 inches, 8 inches, and 3 inches
Answers
Answer:
We can form an isosceles triangle by using the given measures.
Step-by-step explanation:
Hope this helps!! :)
Number 10 plsss help mee
Answers
Answer:
5.25
Step-by-step explanation:
f(x)=7x
then x=0.75
7x0.75=5.25
so f(x) or fx = 5.25
how do i solve this?
Answers
Answer: this is hard I hate math sorry
Step-by-step explanation:
:(
What is the surface area of a cylinder with base radius 3 and height 8?
Answers
Answer:
A=A(base)+A(lateral)
Step-by-step explanation:
A=A(base)+A(lateral)
A=pi*3^2+2*pi*3*8=179.07
What is the length of diagonal BD?
Answers
Answer: My answer would be 7.6
Step-by-step explanation: Hope this is correct.
what's the value of (-8)(2/3)
Answers
Answer:
-5.3
Step-by-step explanation:
I'm not really sure if thats the answer but i try
Answer:
5.33333333333
is the relationship between the number of sides of a polygon and the interior angle sum of the polygon proportional
Answers
What do you mean?
(sides - 2) x 180, for the sum of the interior angle
sum of interior/ sides, for the interior angle
Need help will give brainliest
Answers
Answer:
3.5
Step-by-step explanation:
The constant rate of proportionality, k, is expressed as [tex]k = \frac{y}{x}[/tex], and shows that two quantities are proportional to each other. In this logic, rearranging this in terms of y gives us:
[tex]y = kx[/tex]
Thus we can determine that k is 3.5, in this case.
A rectangular dining room has a floor area of 322 square feet. If the length of the room is 23
feet, what is the perimeter?
Answers
Answer:
The answer is 173.22
Step-by-step explanation:
A sample of oxygen gas occupies a volume of 2.50 L at 98.6 kPa pressure. What volume will
it occupy at 164 kPa pressure?
0.5
1.5
3.0
04.5
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What is the decimal equivalent of 1/5?
Answers
Answer:
.2
Step-by-step explanation:
Answer:
.20
Step-by-step explanation:
1 divided by 5 is .20