Answer: C
Step-by-step explanation:
If a line is perpen to another line, then the other line has the opposite reciprocal of the slope.
y=-(1/4)x+2
slope of the other equation is +4
oly answer with positive slope is C
Answer:
40
Step-by-step explanation:
5*(20-12) =
5* 8
40
<h3>The number of beads lina has is 31</h3><h3>
Laura made a mistake by adding the constant 7 and variable 4b</h3>
<em><u>Solution:</u></em>
Given that,
Laura wrote and solved the following expression to find the total number of beads Lina has
There are 6 beads in each packet
7+4b = 11b
= 11(6)
=66
From given,
Lina has a total of 7 + 4b beads
Given that, There are 6 beads in each packet
Substitute b = 6
7 + 4(6)
Simplify
7 + 24
Add
31
Thus, she has a total of 31 beads and not 66 beads
Laura made a mistake by adding the constant 7 and variable 4b
But a constant and variable cannot be added
Each paper cup is a cone.
The volume if a cone is (1/3) (pi) (radius)² (height)
Notice, in the picture they labeled the <em>diameter</em> of the cup = 8 cm.
But we need the<em> radius</em>. that's 1/2 of the diameter = 4 cm.
So, the volume of these paper cups is
(1/3) (pi) (4cm)² (11 cm) = about <em><u>184 cm³</u></em>
=====================
It says that tons of lemons have been sacrificed, and you have
about 37,850 cm³ of lemonade.
How many cups will that fill ?
37,850 cm³ / 184 cm³ = about <em>205 cups</em>.
========================
How many packs of cups do you need to buy ?
Unfortunately, they only come in packs of 50.
1 pack = 50 cups . . . . . not enough
2 packs = 100 cups . . . not enough
3 packs = 150 cups . . . not enough
4 packs = 200 cups . . . oh so close but still not enough
You need to buy <em>5 packs = <u>250 cups</u></em>.
=================================
It started raining, so you only sold 80% of the lemonade that you had.
80% means 0.80
"of" means "times"
You started out with 37,850 cm³ .
You sold (0.8) x (37,850 cm³) = about <u>30,280 cm³</u> of it.
How many cups did you fill with that much lemonade ?
(Remember, each cup holds about <u>184 cm³</u>.)
30,280 cm³ / 184 cm³ = about <u>164 cups sold</u>.
You bought 250 cups to start out.
You sold 164 cups of lemonade.
You had (250 bought - 164 used) =
<em>86 clean, unused paper cups, still in the wrappers, left over</em>.
Answer:38.56
Step-by-step explanation:
tan35=opposite ➗ adjacent
0.7002=27 ➗ x
Cross multiplying we get
0.7002(x)=27
Divide both sides by 0.7002
0.7002x ➗ 0.7002=27 ➗ 0.7002
x=38.56041131
x=38.56 nearest hundredth
