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2 years ago

A number decreased by 23 is 44. Find the number.

Mathematics

1 answer:

Hoochie [10]2 years ago

3 0

Answer:

Step-by-step explanation:

The number is decreased by 23 which means 23 is subtracted from the number.

let the number be x, then

x - 23 = 44 ( add 23 to both sides )

x = 67

The number is 67

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Anne, Barry, and Cathy enter a coffee shop. Anne orders two coffees, one juice, and two doughnuts and pays $7.50. Barry orders o

Evgesh-ka [11]

Answer:

Coffee = $2.00

Juice = $1.50

Doughnut = $1.00

Step-by-step explanation:

Given

Let:

$c = coffee\\ j= juice\\ d = doughnut$

So, we have:

Anna

$2c + j + 2d = 7.50$

Barry

$c + 3d = 5.00$

Cathy

$3c + j + 4d = 11.50$

Required

The price of each

We have:

$2c + j + 2d = 7.50$

$c + 3d = 5.00$

$3c + j + 4d = 11.50$

Make c the subject in: $c + 3d = 5.00$

$c = 5.00 - 3d$

Substitute $c = 5.00 - 3d$ in $2c + j + 2d = 7.50$ and $3c + j + 4d = 11.50$

$2c + j + 2d = 7.50$

$2[5.00 - 3d] + j + 2d = 7.50$

$10.00 - 6d+ j + 2d = 7.50$

Make j the subject

$j = 7.50 - 10.0 +6d - 2d$

$j = -2.50 +4d$

$3c + j + 4d = 11.50$

$3[5.00 - 3d] + j + 4d = 11.50$

$15.00 - 9d + j + 4d = 11.50$

Make j the subject

$j = 11.50 - 15.00 + 9d -4d$

$j = -3.50 + 5d$

So, we have:

$j = -3.50 + 5d$ and $j = -2.50 +4d$

Equate both values of j

$-3.50 + 5d = -2.50 + 4d$

Collect like terms

$5d - 4d = 3.50 -2.50$

$d = 1.00$

Substitute $d = 1.00$ in $j = -3.50 + 5d$

$j = -3.50 + 5d$

$j = -3.50 + 5 * 1.00$

$j = -3.50 + 5.00$

$j = 1.50$

To solve for c, we substitute $d = 1.00$ in $c + 3d = 5.00$

$c + 3 * 1.00 =5.00$

$c + 3.00 =5.00$

Solve for c

$c =- 3.00 +5.00$

$c =2.00$

7 0

2 years ago

in 1998 your house cost $82,400. in 2000 your house was valued at $102,650. how much did the value of your home increase?

kow [346]

What you do is - 82400 from 102650 and you should get your answer

3 0

2 years ago

Hi whats <br> u = x - k solve for x

kykrilka [37]

Answer:

x=u+k

Step-by-step explanation:

4 0

1 year ago

Read 2 more answers

Triangle ABC is a scaled copy of triangle DEF. Side AB measures 12 cm and is the longest side of ABC. Side DE measures 8 cm and

evablogger [386]

Answer:

a) 3/2 or 1.5

b) 2/3 or ≈.66

Step-by-step explanation:

AB corresponds to DE because they are both the longest sides of their respective triangles.

a) The scale factor would be what you would multiply 8 by to get 12. 12/8 is 3/2 or 1.5

b) The scale factor would be what you multiply 12 by to get 8. 8/12 is 2/3 or ≈.66

4 0

2 years ago

GEOMETRY AID URGENT?

weeeeeb [17]

Lets assume center point of circle as O

OD is the radius of circle . so OD is also 7

All the sides of the triangle are equal . so angle at the center O is 60 degree.

radius = 7

Length of arc CD = $\frac{theta}{360} * 2*\pi*r$

= $\frac{60}{360} * 2*\pi*7$

= $\frac{1}{6} * 2*\pi*7$

= $\frac{7\pi}{3}$

4 0

2 years ago