P=number of pens
h=number of highlighters
p+h=8
1.09h+0.69p=752
p+h=8
minus h from both sides
p=8-h
sub that for p
1.09h+0.69(8-h)=7.52
1.09h+5.52-0.69h=7.52
0.4h+5.52=7.52
minus 5.52 from both sides
0.4h=2
divide both sides by 0.4
h=5
sub back
h=8-p
5=8-p
minus 8 frm both sides
-3=-p
mltiply both sides by -1
3=p
3 pens you bought
11.
Given:

Differentiate with respect to x, we get

The given point is (3,9)
Substitute x=3 in the derivative, we get

Hence the slope is 3.
12.
Given:

Differentiate with respect to x, we get

The given point is (0,4)
Substitute x=0 in the derivative, we get

Hence the slope is 0.
Answer:
9) five hundred and forty three thousand, six hundred and ninety-eight
500,000 + 40,00+ 3,000+ 600+ 90+ 8 = 543,698
10)forty-five million nine hundred eighty-seven thousand one hundred fifty-nine and nine tenths
40,000,000 + 5,000,000 + 900,000 + 80,000 + 7,000 + 100 + 50 + 9 + 0.9 = 45,987,159.9
Answer:
m∠K =m∠N
HJ/MP=JK/PN
Step-by-step explanation:
The picture of the question in the attached figure
we know that
if two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
so
<u><em>Verify each statement</em></u>
case a) we have
m∠K =m∠N
The statement is true
Because, angle K and angle N are corresponding angles, and remember that in similar figures corresponding angles are congruent
case b) we have
HJ≅MP
The statement is false
Segment HJ and segment MP are proportional, not congruent
case c) we have
m∠J≅m∠N
The statement is false
Because angle J and angle N are not corresponding angles
case d) we have
HJ/MP=JK/PN
The statement is true
Because, the ratio of its corresponding sides is proportional
so

Any number in fraction form is over 1, so for a negative number like -29 it would be 29 over negative 1, like this: 29/-1