Answer:
1. 1458
2. 500 or -500
Step-by-step explanation:
1. a4=54, a5=162
r = 162/54 = 3
a7 = a5 × r²
= 162 × 3² = 1458
2.a4=-4, a6=-100
r² = -100/-4 = 25
r = +/- 5
a7 = a6 × r
= -100 × +/- 5
= +/- 500
Sorry about that, here's the answers.
1. expanded form
2. regroup
3. place value
4. A, C, D. The strategy I used was place value and regrouping. I chose these by using place value to help me understand how to regroup and what each option would sum to.
5. D. Ten thousands place
The equation of a line parallel to the given line and passing through the point (0, 8) is 5y - 3x = 40
<h3>Equation of a line</h3>
The equation of a line in point-slope form is expressed as;
y - y0 = m(x -x0)
where
m is the slope
(x0, y0) is the point on the line
Given the following parameters
Point (0,8)
Slope from the equation = 3/5
Substitute
y - 8 = 3/5(x - 0)
5(y -8) =3x
5y - 40 = 3x
5y - 3x = 40
Hence the equation of a line parallel to the given line and passing through the point (0, 8) is 5y - 3x = 40
Learn more on equation of a line here: brainly.com/question/13763238
#SPJ1
<h3><u>Solution</u><u> </u><u>:</u><u>-</u><u> </u></h3>
1) 4x + 5y
→ 4*6 + 5*1
→ 24 +5 = 29
2) 2x (20-y)
→ 2*6 (20-1)
→ 12 *19 = 228
3) x ÷ 3 + y
→ 6 ÷ 3 + 1
→ 2 +1 = 3
4) 4y ÷ 2 + (8x + 10)
→ 4*1 ÷ 2 +(8*6+10)
→ 2 + (48+10)
→ 2 + 58
→ 60
5 ) 5. Patty made $34 baby sitting on each of 3 weekends. If she spent $50 on gifts for her family, how much money does she have left?
Money made each weekend = $34
Money made in 3 weekend = $34*3 =$102
Money spent = $50
Therefore ,
→Money left = Money made in 3 weekends - Money spent
→ Money left = $102 - $50 = $52
6.Carlos solved 20-(2x6) + 8 divide 4 = 29. Is this the correct answer? ( In attachment it's written 29 and not 28 .)
Given equation is ,
→ 20 - (2 × 6) + 8 ÷ 4 = 29
Solve inside the brackets ,
→ 20 - 12 + 8 ÷ 4
Perform division ,
→ 20 -12 + 2
Perform addition ,
→ 22 - 12
Perform subtraction,
→ 10
<u>No , he is wrong the answer should have been 10 but he got 29 .</u>
<em>I </em><em>hope</em><em> this</em><em> helps</em><em> </em><em>.</em>
The answer is 9 cm
Hope that helps! :)