The value of a baseball card can be represented by the equation y = 3 x + 39, where x represents the number of years that Robert has owned the card and y represents the total value, in dollars, of the card. What was the value of the card when Robert originally purchased it?
$3
$13
$36
$39

Answer:

See belolw

Step-by-step explanation:

[tex]P=53\text{ft}[/tex]

[tex]P = a+b+c[/tex]

[tex]53=2x-15+x+1+3x-29[/tex]

[tex]53=6x-43[/tex]

[tex]96=6x[/tex]

[tex]x=16[/tex]

[tex]a=2x-15[/tex]

[tex]a=2(16)-15[/tex]

[tex]\boxed{a=17}[/tex]

[tex]b=x+1[/tex]

[tex]b=16+1[/tex]

[tex]\boxed{b=17}[/tex]

[tex]c=3x-29[/tex]

[tex]c=3(16)-29[/tex]

[tex]\boxed{c=19}[/tex]

Answer:

1. x=16, a=17, b=17, c=19

2. k=-2

Step-by-step explanation:

1.

We can set up an equation where all the labeled sides add up to 53, and then find x:

(2x-15)+(x+1)+(3x-29)=53

6x-43=53

6x=96

x=16

Now that we know x, we can plug it back in to the expressions of the triangles to find their side lengths:

a=2(16)-15=17

b=16+1=17

c=3(16)-29=19

2.

Reminder: the slope of a line is its change in y over its change in x. We can then set up an equation:

[tex]\frac{2-k}{k-(-3)}=4\\\frac{2-k}{k+3}=4\\2-k=4k+12\\5k=-10\\k=-2[/tex]

Answer:

x = 1/3 or .333

Step-by-step explanation:

Answer:

9x^2=-25

X^2=-25/9

X^2=-2. 77

X= root - 2.77

Answer:

[tex]105 \frac{3}{10}[/tex], so most likely G

Step-by-step explanation:

[tex]105.3=105.30=105 \frac{30}{100} =105\frac{3}{10}[/tex]

First, we convert to a fraction. Then, we simplify.

Answer:

a + b = 5 ...........1

6a + 4b = 24.50 ......... 2

Step-by-step explanation:

Let a be the amount of pounds of apricot bought

Let b be the amount of pounds of banana bought

If he buys a total pounds of 5 pounds then;

a + b = 5 ...........1

Also if a pound's of apricots for $6 per pound, total amount of aprciots bought will be $6a

Also if b pound's of banana is for $4 per pound, total amount of banana bought will be $4b

If he spends a total of $24.50 on both banana and apricots, then:

6a + 4b = 24.50 ......... 2

The system of equations that represents the constraints in the situation is:

a + b = 5 ...........1

6a + 4b = 24.50 ......... 2

Answer: C

Step-by-step explanation:

Slope = - 3

y-int = - 1

Understanding slope intercept

y = mx + b

y = Slope(x) + y-intercept

y = -3x - 1

y = (-3)x + (-1)

Slope = - 3

y-int = - 1

Hope this helps,

Answer:

word: eight-tenths

fraction: 8/10 = 4/5

decimal: 0.8

Step-by-step explanation:

i got it right

word: eight-tenths

fraction: 8/10 = 4/5

decimal: 0.8

A number expressed as a quotient, in which a numerator is divided by a denominator.

As, per the diagram there are total of 10 columns out of which 8 are shaded blue.

So, if we write the fraction of shaded part it will be 8/10.

So,  in word: eight-tenths

fraction: 8/10 = 4/5

decimal: 0.8

Learn more about fraction here:

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Answer:

Yes, because the more pies ordered the more money it will cost to buy them all

Step-by-step explanation:

total cost is not proportional to the number of pies.

the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.

given  Fred is ordering pies for a family reunion. Each pie costs $4.50. For orders smaller than a dozen pies, there is a $5 delivery charge.

Fred is ordering pies for a family reunion. Each pie cost $4.50. For orders smaller than a dozen pies, there is a $5 delivery charge.

Let us draw a table for the number of pies and the total cost

Number of pie                           Total Cost  

1                                                 $4.50+5=$9.50

2                                                  $9+5=$14

3                                               $13.50+5=$18.50

4                                                  $18+5=$230

5                                               $22.50+5=$26.50

now Total cost/number pies = 9.50/1 is not equals to 14/2

Therefore the total cost is not proportional to the number of pieces

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Answer:

1.b 2.a      i hope this is right

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

because like it would happen in real life yk and the others dong make sense at all

tell me if its right

Answer:

c)scene

according to me

Answer:

[tex](x_2,y_2) = (2x_m - x_1 ,2y_m - y_1 )[/tex]

Step-by-step explanation:

Given

[tex]\left(\frac{x_1+\:x_2}{2},\:\:\frac{y_{1\:}+y_2}{2}\right)\:=\:\left(x_m,\:y_m\right)[/tex]

Required

Determine x2, y2

Start by splitting the expression

[tex]x_m = \left(\frac{x_1+\:x_2}{2})[/tex] and [tex]y_m = (\frac{y_{1\:}+y_2}{2})[/tex]

Solving for x2 in [tex]x_m = \left(\frac{x_1+\:x_2}{2})[/tex]

Multiply through by 2

[tex]2 * x_m = \frac{x_1 + x_2}{2} * 2[/tex]

[tex]2x_m = x_1 + x_2[/tex]

Make x2 the subject;

[tex]x_2 = 2x_m - x_1[/tex]

Similarly:

[tex]y_m = (\frac{y_{1\:}+y_2}{2})[/tex]

Multiply through by 2

[tex]2 * y_m = \frac{y_1 + y_2}{2} * 2[/tex]

[tex]2y_m = y_1 + y_2[/tex]

Make y2 the subject;

[tex]y_2 = 2y_m - y_1[/tex]

Hence:

[tex](x_2,y_2) = (2x_m - x_1 ,2y_m - y_1 )[/tex]

Step-by-step explanation:

165 bc all you had to do was 825 divided by 500.

Answer: 15, and 44 are integers.

Step-by-step explanation: For 15 to be an integer, 15 has to be a whole number. Furthermore, for 15 to be an integer, you should be able to write 15 without a fractional or decimal component. 15 is a whole number that can be written without a fractional component, thus 15 is an integer, as well as 44.

Answer:

-2x-24

Step-by-step explanation:

-5x+3x-24 = - 2x-24

Answer:

-2x-24 hope dis helped

Answer:

B

Step-by-step explanation:

plug in 5

5^2-5(4)+7=12

===========================================

Work Shown:

A.

f(x) = 3x-8

f(5) = 3*5-8 ... replace every x with 5; simplify with PEMDAS

f(5) = 15-8

f(5) = 7

We can cross choice A off the list since we got 7 as an output, instead of 12.

---------------

B.

f(x) = x^2-4x+7

f(5) = (5)^2-4(5)+7

f(5) = 25-4(5)+7

f(5) = 25-20+7

f(5) = 5+7

f(5) = 12

We got the output we wanted. So we can stop here.

---------------

If you're curious about the others, then,

C.

f(x) = -x+14

f(5) = -5+14

f(5) = 9

That doesn't work, so we cross choice C off the list.

---------------

D.

f(x) = |x-7|

f(5) = |5-7|

f(5) = |-2|

f(5) = 2

Choice D is crossed out as well.

So only choice B works.

Answer: 65.88 km/h

Step-by-step explanation:

When multiplying conversion factors, make sure the only remaining units are the desired units.

Answer:

B.) X less than or equal to 16.5

Step-by-step explanation:

If you take his limit, 40 and subtract the 7 dollars you will get 33. Then, divide that by two because he will need two tickets and you will get 16.5. It can't be greater than 16.5 because he will go over his budget.

Answer:

x ≤ 16.5

Step-by-step explanation:

40 ≤ 2t + 7 Subtract 7 from both sides.

40 - 7 ≤ 2t + 7 - 7

33 ≤ 2t Divide both sides by 2.

[tex]\frac{33}{2}[/tex] ≤ [tex]\frac{2t}{2}[/tex]

16.5 ≤ t or t ≥ 16.5

Answer:

-1/8

Step-by-step explanation:

-1/2 + 3/4 - 3/8 = -1/8

Can I have Brainliest please?

Answer:

[tex]\frac{-1}{8}[/tex]

Step-by-step explanation:

So first find the greatest common factor of the denominators

GCF of 2 , 4 and 8 is 8

Then :

[tex]\frac{-4 + 6 - 3}{8}[/tex]

So you do this to get the above answer:

8 divided by the denominator times the numerator.

You still need to work it out

-4 + 6 = 2

[tex]\frac{2- 3}{8}[/tex]

2 - 3 is -1

Thus the answer is [tex]\frac{-1}{8}[/tex]

HOPE THIS HELPED

Answer:

Step-by-step explanation:

A: $0.1(x) + 25(y) = x + 25

B: $0.05(x) + $40(y) = x + 40

Because they didn't give a certain amount of miles traveled, we have to go with we do know.

**this is probably wrong.

Answer:

C) The resulting figure will be congruent to the original rectangle, because dilations with a scale factor of 1 have the same coordinates.

Step-by-step explanation: Multiplying any number by 1 will result in the same number, this applies to coordinates as well.  

Answer:

The new height requirements are minimum of 64.1875 inches and maximum of 68.3 inches

Step-by-step explanation:

To exclude the tallest 50% of men and shortest 5% of men, we need to find the critical z-value for a significance level of 0.5 & 0.05 and then solve for x in the z-score equation.

For significance value of 0.5, z = 0

We are given;

μ = 68.3 in

σ = 2.5 in

Thus from z = (x - μ)/σ, we have;

0 =(x - 68. 3)/2.5

0 = x - 68. 3

x = 68.3 inches for men max

Similarly, for significance value of 0.05, z = -1.645

Thus to find x;

-1.645 = (x - 68. 3)/2.5

-4.1125 = x - 68.3

x = 68.3 - 4.1125

x = 64.1875 inches for men min

[tex]y + 7 = - \frac{2}{3}(x + 6) \\ [/tex]

[tex]y + 7 = - \frac{2}{3}x - 4 \\ [/tex]

Subtract sides -7

[tex]y = - \frac{2}{3}x - 4 - 7 \\ [/tex]

Thus ;

[tex]y = f(x)= - \frac{2}{3}x - 11 \\ [/tex]

So the correct answer is (( A )) .

Answer:

the cost of gas i think

Step-by-step explanation:

i dont really know

Answer:

I think it is, B( The length of the route

Step-by-step explanation:

Answer:

Car Z has better petrol consumption. Choice C. Z

Step-by-step explanation:

Petrol Consumption

Car Y travels 105 miles on 3 gallons of petrol. The average consumption is 105 / 3 = 35 miles/gallon

Car Z travels 80 miles on 9 litres of petrol. Since 1 gallon=4.5 litres, the consumption of car Z is 9/4.5= 2 gallons. The average consumption is 80/2 = 40 miles/gallon.

This means that car Z has better petrol consumption. Choice C. Z

Answer:

Step-by-step explanation:

-1/3