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AnnyKZ [126]
3 years ago
12

john paid $99 for one algebra book and two geometry book. the cost of a geometry book is $3 less than a algebra book. substituti

on equation
Mathematics
1 answer:
tia_tia [17]3 years ago
5 0

Answer:

A=34, G=31

Step-by-step explanation:

G=A-3

2G+A=99

plug in for g 2(A-3)+A=99

distribute 2 A-3+A=99

combine like terms 3A-3=99

solve for a 3A=102 A=34

plug in a solve for g G=34-3 G=31

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1/4(24x+12)=6(x+1/2)
forsale [732]

Answer:

The final answer cannot be decided

Step-by-step explanation:

Since 1/4(24x+12)=6(x+1/2)

This can also be written as

24x+12/4=6(x+1/2)

So let's open the bracket from the right side and also solving using the LCM

24x+12/4=6(2x+1/2)

Open the bracket

24x+12/4=3(2x+1)

24x+12/4=6x+3

Cross multiply

24x+12=4(6x+3)

24x+12=24x+12

Collect like terms

24x-24x=12-12

0=0

Therefore the final answer cannot be decided

7 0
3 years ago
H(x) = x2 + 3x – 2; 12 - h(7)10​
nikitadnepr [17]

Answer:

2x + -10 = 10 + -3x

Reorder the terms:

-10 + 2x = 10 + -3x

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.

-10 + 2x + 3x = 10 + -3x + 3x

Combine like terms: 2x + 3x = 5x

-10 + 5x = 10 + -3x + 3x

Combine like terms: -3x + 3x = 0

-10 + 5x = 10 + 0

-10 + 5x = 10

Add '10' to each side of the equation.

-10 + 10 + 5x = 10 + 10

Combine like terms: -10 + 10 = 0

0 + 5x = 10 + 10

5x = 10 + 10

Combine like terms: 10 + 10 = 20

5x = 20

Divide each side by '5'.

x = 4

hope dis helps <3

8 0
3 years ago
The admission to a local fair is $10 for each adult and $6 for each child. Each ride costs $1.50 for an adult and $1 for a child
S_A_V [24]
So first start out by writing an expression for the cost of the child and the adult separately.

Child:
6 + 1r   ($6 + $1 per ride)

Adult:
10 + 1.5r   ($10 + $1.50 per ride)

to find how much more the adult will spend, just do Adult Expression - Child Expression which will be:

10 + 1.5r - (6 + 1r)  just simplify this

For Part B, use your equation from part A where r = 7
6 0
3 years ago
Find the x−and y−intercepts.
nadya68 [22]

Answer:

(4,-8/5)

Step-by-step explanation:

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

5 0
3 years ago
Read 2 more answers
Exercise 1: In the right triangle below, calculate the measurement of the unknown side. Show your work.
vekshin1

Answer:

Exercise 1:

base [b]=8cm

perpendicular [p]=6cm

hypotenuse [h]=?

<u>By</u><u> </u><u>using</u><u> </u><u>Pythagoras</u><u> </u><u>law</u>

h²=p²+b²

h²=6²+8²

h=√100

h=10cm

<u>So</u><u> </u><u>another</u><u> </u><u>side's</u><u> </u><u>length</u><u> </u><u>is</u><u> </u><u>1</u><u>0</u><u>c</u><u>m</u>

<u>Exercise</u><u> </u><u>2</u><u>:</u>

base [b]=6m

perpendicular [p]=bm

hypotenuse [h]=8m

By using Pythagoras law

h²=p²+b²

8²=b²+6²

b²=8²-6²

b=√28=2√7 0r 5.29 or 5.3

So height of kite is√<u>28</u><u>o</u><u>r</u><u> </u><u>2√7 0r 5.29 or 5.3 m</u>

Step-by-step explanation:

[Note: thanks for translating]

4 0
3 years ago
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