Sara spends $x on pens which cost $2.50 each.
She also spends $(x - 14.50) on pencils which cost $0.50 each.
The total of the number of pens and the number of pencils is 19.
Write down and solve an equation in x.​

Answers

Answer 1
If she spent $x on pens at $2.50 each, then she bought x/2.50 pens.
And similarly she bought (x - 14.50) / 0.50 pencils.

So x/2.50 + (x - 14.50) / 0.50 = 19

Rather than cross multiply, which only works for two equal fractions, multiply both sides by the least common denominator which is 2.50. That cancels both denominators, and you get

x + 5(x - 14.50) = 47.50

x + 5x - 72.50 = 47.50

6x = 47.50 + 72.50 = 120

so x = 120 ÷ 6 = 20

Related Questions

What scale factor would you use on the 14 by 21 rectangle to return it to its original 2 by 3 inch size

Answers

Answer:

Multiply by 1/7

Step-by-step explanation:

14*1/7=2

21*1/7=3

What is the Y intercept from C= 105 +5n

Answers

Answer:

the y intercept is 105. the n is like X.

hope that helped!!!!

Step-by-step explanation:

C=105+5n

y=mx+b

y=5x+105

.................................................................................................................................................................................................................................................................................................................................................................................................

Answers

Answer:

The exact answer is 8.032

Step-by-step explanation:

Given:

0.64 and 12.55

Number sentence:

0.64 × 12.55 = N

Solution and final answer:

0.64 × 12.55 = 8.0320 then cancel 0 in ten thousandths place

In the multiplication of integers - To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.

A football team needs to move the ball at least 10 yards forward from the original starting point in order to get a first down. Angel runs for 6 yards on the first play. On the second play, he is sacked for −9 yards. At least how many yards does his team need on the third play to get a first down?

Answers

Answer:

13 yards

Step-by-step explanation:

Given that:

To get a first down, ball needs to be moved 10 yards forward from original starting point.

Distance on first play = 6 yards

on second play = - 9 yards

Hence to get a first down, distance on third play should be:

Let distance needed on third play = d

Hence,

Sum of distance on all three plays should be = 10

6 + (-9) + d = 10

6 - 9 + d = 10

-3 + d = 10

d = 10 + 3

d = 13 yards

Both the Math Club and the Spanish Club have a pizza party at the end of the year. The Math Club has 16 members and the sponsor gives each member one over four of a pizza at the party. The Spanish Club has 18 members and their sponsor gives each member one over three of a pizza at their party. Which statement best represents which club buys more pizzas?
The Spanish Club buys 10 more pizzas than the Math Club. a
The Math Club buys 10 more pizzas than the Spanish Club. b
The Spanish Club buys 2 more pizzas than the Math Club. c
The Math Club buys 2 more pizzas than the Spanish Club. d

Answers

Answer:

I think its C please correct me if im wrong

Step-by-step explanation:

Question 4 (1 point)
Michael is 6 years older than his brother. The sum of their
ages is 32. What is Michael's age?

Answers

Answer:

Michael is 18 and his brother is 12 to make 30

Step-by-step explanation:

trust me, try it if i doesn't work don't put a star or heart.

PLSS HELPP!!!
Bank account permits 20 free transactions per month and charges $0.20
for each additional transaction. How much will 47 transactions in one month cost?

Answers

Answer:

5.4

Step-by-step explanation:

47 - 20 =27 . 27 x .2 = 5.4

Damien had $96.22 in his savings account. He withdrew some of the money to purchase clothes for school. He now has $37.86 in his account. How much money did Damien withdraw?

Answers

Answer:

I think the answer would be $58.35

Step-by-step explanation:

Answer:

$58.36

Step-by-step explanation:

you have $96.22 subtract 37.86 from that since its what he has left

$96.22 - $37.86= $58.36

Find the x and y intercepts
x + 4y = -8


help soon please

Answers

X + 4y = -8
Y = -2 - x/4
X = -8 - 4y

Some 5-digit number is either any number with at least two odd digits, or it is an odd number. How many such numbers are there?

Answers

Answer: 15 i think, please don't be mad if it is wrong

QRS = TUV. Name the angle or side that corresponds to the given part

Answers

Answer:

72

Step-by-step explanation:

Ansnswer

∠T

Step-by-step explanation:

What is the mass of an Electron?

What is the mass of an Proton?

Answers

Answer:

The mass of a electron is 9.1093837015 × 10−31 kg, And the mass of a proton is 1.67 × 10–27 kg

Step-by-step explanation:

Answer:

please justmepeoplez, send this picture to naruto rasengin and tell me I mistakenly sent him a wrong answer

Step-by-step explanation:

and to answer your question; an electron has a mass of 1/1840 a.m.u(atomic mass unit)

and proton has 1 a.m.u

how to comoplete Samantha is 4 feet, 3 inches tall. What is her height in inches?

Answers

Answer:

51

Step-by-step explanation:

4*12=48

48+3=51

one foot = 12 inches

Samantha's height in inches is 51 inches.

To find Samantha's height in inches, we need to convert her height from feet and inches to inches. We know that 1 foot is equal to 12 inches. Therefore, we can convert her height in feet and inches to inches using the following steps:

Step 1: Convert her height in feet to inches. Samantha is 4 feet tall, so her height in inches due to feet is 4 * 12 = 48 inches.

Step 2: Add the additional height in inches. Samantha is also 3 inches tall, so we add 3 inches to the previous result.

48 inches (from feet) + 3 inches = 51 inches

Samantha's height is 51 inches.

In conclusion, Samantha's height in inches is 51 inches.

To know more about height:

https://brainly.com/question/27149153

#SPJ6

Add 3/5+3/10. 1/5 3/10 2/5 9/10

Answers

Answer:

9/10

Step-by-step explanation:

hope this helps:)

Am I right here? If not explain please thank you.

Answers

Answer:

yes

Step-by-step explanation:

Answer:

yes you are right!

Step-by-step explanation:

Write an equation in point-slope form of the line that passes through the given point and with the given slope m. (-2,1); m=4​

Answers

Answer:

y-1=4(x+2)

Step-by-step explanation:

plug the point in

An equation in the point-slope form of the line that passes through the given point and with the given slope m is y-1=4(x+2).

We have given that,

slope m=4​ and the point (-2,1)

What is the slope point form of the line?

The slope point form of the line is

[tex](y-y_1)=m(x-x_1)[/tex]

use the given values in the above slope point form so we get,

y-1=4(x+2)

Therefore an equation in the point-slope form of the line that passes through the given point and with the given slope m is y-1=4(x+2).

To learn more about the slope point form visit:

https://brainly.com/question/4010502

#SPJ2

What is 3 1/2 x 50 1/4

Answers

Answer:

175.875

Step-by-step explanation:

Answer:

175 7/8

Step-by-step explanation:

3 1/2=7/2

50 1/4=201/4

7/2 x 201/4

LCM of 2,4=4

7/2x2/2 x 201/4x1/1

14/4 x 201/4

=1407/8

=175 7/8

please mark as brainliest!!

hope this helps


Determine if the two triangles are congruent. If they are, state how you know

Answers

I think is d I’m not really sure tho
The answer is D I think

pls help there’s like 28 task cards that were due last week

Answers

Answer:

yes it can, rise is 85, run is 51 (both divisible by 17) so simplified to 5/3.

Graph the line with the equation y=5/4x-2​

Answers

Answer:

start off by (0,-2) then go up by 5 and over 4 from that point. and then go down 5 over 4 below (0,-2)

Step-by-step explanation:

Mathematic Help Please

Answers

Answer:

Angle 1 is 62

Angle 2 is 45

Angle 3 is 24

Step-by-step explanation: from

To get angle 1 you subtract 118 from 180 (180-118) and get 62

For angle 2 you subtract 62 and 73 from 180 (180-62-73) and get 45

For angle 3 you first subtract 73 from 180 (180-73) and get 107 then subtract 107 and 49 from 180 (180-107-49) and get 24

You subtract everything from 180 because with straight lines they are equal to 180 degrees and triangles are also equal to 180 degrees

Answer: m 1= 62 m 2= 45 m 3=58

Step-by-step explanation:The angles of a triangle equal 180. You subtract the angles that you know from 180 and the answer you're left with is the answer. The last one has an extra step because it only gives you one angle so to find the angle right next to 73 you subtract 73 from 180 which is 107 and then you subtract 49 from that which is 58.

I need help with points!!!!!!

Answers

Answer:

It's the red option.

one fifth of a number is 12. what is one third of a number? ​

Answers

20

(12 x 5 = 60)

(60 / 3 = 20)

What is 120-90x40x120=??
Please tell me bc

Answers

Answer:

431,880

Step-by-step explanation:

(I Use PEMDAS to answer this question)

90 x 40 = 3,600

3,600 x 120 = 432,000

432,000 - 120 = 431,880

What are the solutions to x2 - 3x = 5?

Answers

Answer:

2 real solutions.

Step-by-step explanation:

[tex]x^{2}[/tex] - 3x = 5

[tex]x^{2}[/tex] - 3x -5 = 0

D =[tex](-3)^{2}[/tex] - 4 x 1 x (-5)

D = 29 Quadratic has 2 real solutions.

Calculate the density of a sample of liquid with a volume of 130 ml and a mass of 585 g.

Answers

Answer:

d = 4.5g/cm³

Step-by-step explanation:

Hi there !

d = m/V

= 585g/130ml

= 4.5g/ml

1ml = 1cm³

d = 4.5g/cm³

Good luck !

Given h(x) = 4x - 4, slove for x when h(x) =0

Answers

Answer:

x=1

Step-by-step explanation:

replace h(x) with zero

0=4x-4

+4 on both sides

4=4x

divide by 4 to get x

4/4=4x/=

x=1

Answer:

x = 1

Step-by-step explanation:

given:

[tex]h(x) = 4x - 4[/tex]

solve for x, when:

[tex]h(x) = 0[/tex]

◇◇•◇◇

[tex]4x - 4 = 0[/tex]

[tex]x - 1 = 0[/tex]

[tex]\boxed{\green{x = 1}}[/tex]

Rectangle RSFT has vertices R(3,10), S(5,10), F(5,6) and T(3,6). RSFT was reflected over the line
y = x, to form R'S'F'T'. What are the coordinates of the vertices of the image?

Answers

Answer:

The coordinates of the vertices of the image are R' (10, 3), S' (10, 5), F' (6, 5), T' (6, 3)

Step-by-step explanation:

If the point (x, y) reflected across the line y = x, then its image is (y, x)If the point (x, y) reflected across the line y = -x, then its image is (-y, -x)

Let us use the first rule above to solve the question.

∵ Rectangle RSFT has vertices R (3, 10), S (5, 10), F (5, 6), and T(3, 6)

∵ RSFT was reflected over the line, y = x

→ To find its image switch the coordinates of all the vertices

∵ R = (3, 10)

R' = (10, 3)

∵ S = (5, 10)

S' = (10, 5)

∵ F = (5, 6)

F' = (6, 5)

∵ T = (3, 6)

T' = (6, 3)

The coordinates of the vertices of the image are R' (10, 3), S' (10, 5), F' (6, 5), T' (6, 3)

Which of the following numbers is rational but not an integer?
Answer Choices: −4.3, 3, 0, -9

Answers

Answer:

-4.3

Step-by-step explanation:

They are all rational. An integer is a number without decimals and -4.3 is the only one with decimals making it the only one that is rational but not an integer

Kendrick made chili for a football party. He started making the chili at 3:00 P.M. It took 1 hour and 5 minutes to prepare and assemble the ingredients. Then, the chili had to simmer for 25 minutes. What time was the chili ready

Answers

4:30
You’re welcome :)

Answer:

4:30

Step-by-step explanation:

3:00+1 hour and 5 minutes=4:05

4:05+25 minutes=4:30

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