1. At an elementary school, it's picture day. Two picture packages are available. Package 1
contains one class picture and ten wallet-size pictures for a cost of $19. Package 2 contains two
class pictures and fifteen wallet-size pictures. The cost of Package 2 is $31. Find the cost of an
individual class picture and the cost of an individual wallet-size picture.

Answers

Answer 1

9514 1404 393Answer:

class picture: $5wallet-size: $1.40

Step-by-step explanation:

Let c and w represent the per-picture cost of the class picture and a wallet-size picture, respectively. The two packages can be described by ...

  c +10w = 19

  2c +15w = 31

Subtracting the second equation from twice the first, we get ...

  2(c +10w) -(2c +15w) = 2(19) -31

  5w = 7

  w = 1.40

Substituting into the first equation, we can find the cost of a class picture.

  c + 10(1.40) = 19

  c = 5 . . . . . . . . . . . subtract 14

A class picture costs $5; a wallet-size picture costs $1.40.


Related Questions

Convert. 2/3and 4/6 into like fraction

Answers

Answer:

Answer given below

Step-by-step explanation:

When we calculate the LCM, you get it as 6.

So both the fractions should have a denominator 6.

For that, in 2/3 we should multiply both numerator and denominator with 2 so that denominator becomes 6.

When we convert to like fraction, 2/3 becomes 4/6.

Now both the fractions have common denominator

Hope it helps.

The meaning of like is same and unlike means different. So to make it a like fraction the denominator needs to be the same 2 x 2= 4 3 x 3=6 = 4/6

Triangle PQR is dilated by a scale factor of 1/3 to form triangle P'Q'R'. Side RP
measures 3. What is the measure of side R'P'?

Answers

Answer:

1

Step-by-step explanation:

A third of 3=1

3/3=1

What is 4 27/50 as a decimal

Answers

Answer:

4.54

Step-by-step explanation:

What’s the answers to 15 and 16

Answers

15.) GF = 31
16.) DE = 11

Solve the triangle. Round decimal answers to the nearest tenth.

Answers

When I try to type the right answer it says incorrect

Answer:

51

Step-by-step explanation:

What is the answer using synthetic division? -6x^3+18^2-7x-b divided by x-2

Answers

Answer:

[tex]-6x^{3} + 322-7x - \frac{b}{x}[/tex]

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

How would you characterize the relationship between the hours spent on homework and the test scores

Answers

Answer:

sorry can'thelp

Step-by-step explanation:

Answer and explanation:

I would characterize the relationship as a positive correlation. I would probably give it a 0.7, which means that the correlation is relatively strong. Also, this is an example of correlation, not causation, because there is not scientific proof that doing homework more will cause better grades. Hope this helps!

The equation y-7/2=1/2(x-4) is written in point-slope form. What is the y-intercept of the equation

Answers

the third bullet would be correct

!!!!Plz Help!!!! How does the slop of AB compare with the slope of the parallel line as you move points A, B, and C? What conclusion can you draw about the relationship between the slopes of parallel lines?​

Answers

Answer:

As points, A and B move, the slope of the two lines change but remain equal to each other. As point C moves, the slope does not change but remains equal to each other since the line through C is drawn parallel to AB.

I can canclude that slope of any two parallel lines are equal

Step-by-step explanation:

You pay $2 to play a game in which you roll one fair die. If you roll a 5 on the first roll, you win $5. If you roll a 1 or a 2, you win $3. If not, you lose your money. Use this information to answer questions 1-2.
Find the expected value for this game? Round your answer to the hundredths place
Find the fair price for this game. Round your answer to the hundredths place

Answers

Answer:

The answer is 4

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZ

Answer:

4

:P

Step-by-step explanation:

A circus acrobat is shot out of a cannon with an initial upward speed of 50 . The equation for the acrobat's pathway can be modeled by the equation h = - 16t ^ 2 + 50t + 4 .
a.Find the maximum height of the acrobat.

b.How long will it take to reach the ground?

Answers

Answer:

Step-by-step explanation:

h = - 16t ^ 2 + 50t + 4

maximum height  take the first derivative of h (calculus if you are taking it)

h' = -32t + 50          set this equal to zero

0 = -32t +50

t = 50/32

t = 1.5625      now plug t = 1.5625  into the height equation

h = - 16(1.5625) ^ 2 + 50(1.5623) + 4

h = 43.0625 ft

you can also find the maximum height by graphing the function and locating the peak value  (much easier)

how long to reach the ground  h = zero

0 = - 16(t) ^ 2 + 50(t) + 4

use the quadratic equation to solve this or graph the function h(t) and find the roots (much easier) and you will find that

t = -0.078 and 3.203 seconds

    obviously the negative root makes no sense unless he time travelled so

t = 3.203 seconds

Here is the third problem:)

Answers

Answer:

15.0

Step-by-step explanation:

we are finidng the adjacent angle, they have given us the opposite and the missing adjacent side so we use tan

tan25=7/x

since x is at the bottom then switch

x= 7/tan25

x= 15. 012

Answer:

x = 15.01

Step-by-step explanation:

Given degrees 25

Since x is between the right angle and 25, x is adjacent

7 being the other shortest side would be the opposite

Given adjacent and opposite, you can use tangent

Tangent = opposite/adjacent

Tan(25) = 7/x

0.4663076582 = 7/x

x = 7/0.4663076582 (use calculator)

Solution: x = 15.0115484421

WHATS THE ANSWER?? answer ASAP NO FILE AT ALL

Answers

Answer:

A

Step-by-step explanation:

Answer:

it is A because the shape is the same and is just facing a different way

Step-by-step explanation:

Can someone please help me?

Answers

9514 1404 393

Answer:

x = 87°vertical angles

Step-by-step explanation:

The marked angles share a vertex and are formed from opposite rays. They do not share a side, so are not adjacent angles. The angles are vertical angles.

As such, they are congruent, so x = 87°.

Find the surface area of a square pyramid with side length 4 mi and slant height 5 mi.

Answers

Answer:

SA = 56 sq mi

Step-by-step explanation:

SA = area of base + 1/2(perimeter of base)(slant height)

SA = 16 + 1/2(16)(5)

SA = 16 + 8(5)

SA = 16 + 40

2. A serving of soup is 275 milliliters.
Will 6 servings of soup fit into a jar that holds up to 1.5 liters of liquid? Explain.

Answers

Answer:

No, the 6 servings of soup is 1675 milliliters, which is greater than 1.5 liters.

Step-by-step explanation:

So we already know that 1 surving of soup is 275 milliliters.

We have 6 survings of this soup.

We need to see if these 6 servings will fit in a 1.5 liter jar.

To find the total amount of mililers, we must multipy this by 6:

275*6

=

1650

Remember that 1 liter is equal to 1000 mililiters. To find the 1650 mililliters in liters, we must divide by 1000:

1650/1000

=

1.65

This number is greater than 1.5 liters, which is how much soup the jar can store.

So the answer is no, the 6 servings of soup cannot fit in the jar.

Help !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

0.3. pls give me brainliest

0.3 Is your answer your welcome

Your IPod has 3 hours of battery remalning. If it has 15 hours when fully charged, what percent charged is it right now?

Answers

Answer:

60%

Step-by-step explanation:

5 hours - 100%

1 hour - 100/5 = 20%

3 hours - 20 x 3 = 60%

An object travels 8 miles in 20 minutes at a constant speed. What is the object's
speed in miles per hour?
A. 32
B. 28
O
C. 24
us
NE
US
An object travels 8 miles in 20 minutes what is the objects speed in miles per hour

Answers

It would be 24 miles per hour

find mHK please help

Answers

Answer:

66°

Step-by-step explanation:

When a radius(diameter in this case) is perpendicular to a chord, it bisects the chord and the arc formed by the chord. Because of this, we can say mHJ is equal to mKJ. We can write an equation:

mHJ = mKJ

and substitute:

x + 20 = 6x - 45

20 = 5x - 45

65 = 5x

x = 13

mHK is the sum of mHJ and mKJ, we can write mHK as the expression:

x + 20 + 6x - 45

7x - 25

We can substitute x:

7(13) - 25

91 - 25

66°

135°
Solve for <2.
62 = [?]
45°
&2
86°
Enter

Answers

Answer:

[tex] \displaystyle \angle2 = {49}^{ \circ} [/tex]

Step-by-step explanation:

remember that,

if a side of a triangle is extended then exterior angle so formed equal to the sum of the two opposite interior angles

thus our equation is

[tex] \displaystyle \angle2 + {86}^{ \circ} = {135}^{ \circ} [/tex]

cancel out 86° from both sides:

[tex] \displaystyle \angle2 = {49}^{ \circ} [/tex]

hence,

the measure of the missing angle is 49°

Answer:

Solution given'

<2+45+86=180°[sum of interior angle of a triangle]

<2=180-131

<2=49°

Malia and her sister walk at a constant rate of 4 miles per hour.

At this constant rate, how far can Malia and her sister walk in 1.5 hours?

Answers

Answer:

6mi per 1.5h

Step-by-step explanation:

4miles per 1h

6miles per 1.5h

4×1.5=6

The ___________ of a numerical set of data is the value that occurs most frequently.

Answers

The median is the answer

Simplify the expression

6:3x4

Answers

Answer:

8

Step-by-step explanation:

6:3=2

six divided by three equals four (hence the ratio)

2*4=8

two times four equals eight.

a hamburger shop sold 360 hamburgers and a number of cheeseburgers were sold was 3 times how many were sold on Sunday?​

Answers

Answer:

1080 cheeseburgers

Step-by-step explanation:

If the number of cheeseburgers are three times as many as the hamburgers, then 3x360, which is the hamburgers = 1080

I do not know what to do with the Sunday information, so perhaps the question is not complete.

Hope this helps!

Which best describes the numbers satisfying the inequality x less-than 7?
A all numbers greater than 7
B all numbers less than 7
C all numbers greater than and including 7
D all numbers less than and including 7

Answers

Answer:

B   all numbers less than 7

Step-by-step explanation:

x < 7

B all numbers less than 7

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

< is less than

≤ is less than or equal

> is greater than

≥ is greater than or equal

Answer:

b XD

Step-by-step explanation:

help! Is this correct? If not can i please have a correction?

Answers

The answers are correct, however in the first box it should be 22y instead of just 22. Same with the 6 it should be 6x.

which measurement is closest to the area of the shaded region in square inches

Answers

The answer is 19 need any work?

A. 19 units
B. 38 units
C. 12 units
D. 22 units

Answers

Answer:

I think 12 is 5he right answer

Before a high-school football game the footballs were inflated to p = 13 psi (pounds per square inch). After the game the mean inflation was 12.5 psi.

Select the null hypothesis H0.


Group of answer choices


0=13


0=12.5


0<13


0>12.5

Answers

Answer:

The null hypothesis is [tex]H_0: \mu = 13[/tex]

Step-by-step explanation:

Before a high-school football game the footballs were inflated to p = 13 psi (pounds per square inch).

This means that, as we are going to test the inflation levels before and after the game, we test at the null hypothesis that it is of 13 psi, that is:

[tex]H_0: \mu = 13[/tex]

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