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Ksju [112]
1 year ago
10

Derek bought 6.00 worth of 21 cent stamps and 41 cent stamps.

Mathematics
1 answer:
sattari [20]1 year ago
6 0

we have the expression

0.21s+0.41(s-2)=6.00

Solve for s

that means ----> isolate the variable s

0.21s+0.41s-0.82=6.00

Combine like terms

\begin{gathered} 0.62s=6.00+0.82 \\ 0.62s=6.82 \end{gathered}

Divide by 0.62 both sides

\begin{gathered} s=\frac{6.82}{0.62} \\ s=11 \end{gathered}

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a line segment with points p(1 2) and q(4 3) is reflected across the line y=x. What are the new coordinates of the points of the
katen-ka-za [31]

Answer:

The new coordinates of the points of the line segment are p'(2,1) and q'(3,4)

Step-by-step explanation:

we know that

When you reflect a point across the line y= x, the x-coordinate and y-coordinate change places.

so

The rule of the reflection of a point across the line y=x is

(x,y) -----> (y,x)

we have

Points p(1,2) and q(4,3)

Applying the rule of the reflection across the line y=x

p(1,2) ------> p'(2,1)

q(4,3) -----> q'(3,4)

therefore

The new coordinates of the points of the line segment are p'(2,1) and q'(3,4)

3 0
3 years ago
Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will
Oksanka [162]

Answer:

Ella should add 32\dfrac{5}{6} lbs of water.

Total weight of syrup 33\dfrac{1}{3} lbs

Step-by-step explanation:

Weight:

Weight of sugar = 0.5 lbs.

Weight of water added = x lbs

Total weight = 0.5 + x lbs

Percentage:

0.5 + x  --  100%

0.5  --  1.5%

Write a proportion:

\dfrac{0.5+x}{0.5}=\dfrac{100}{1.5}

Cross multiply:

1.5(0.5+x)=0.5\cdot 100\\ \\0.75+1.5x=50\\ \\1.5x=50-0.75\\ \\1.5x=49.25\\ \\x=\dfrac{49.25}{1.5}=\dfrac{4,925}{150}=\dfrac{197}{6}=32 \dfrac{5}{6}\ lbs

Ella should add 32\dfrac{5}{6} lbs of water.

Total weight of syrup

32\dfrac{5}{6}+\dfrac{1}{2}=32\dfrac{5}{6}+\dfrac{3}{6}=33\dfrac{1}{3}\ lbs

3 0
3 years ago
Convert to a fraction in simplest terms: .45
photoshop1234 [79]

Answer:

9/20

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Which equation describes this line (1,10) (-3,2)
zubka84 [21]
Find the slope first:
m=y2-y-1/x2-x1

m=2-10/-3-1
m= -8/-4
m= 2

Select a point & put into y=mx+b to find b.
y=mx +b
10 =2(1) + b
10 =2 +b
8 = b

Rewrite the equation with your slope &intercept:

y=2x + 8

That's ^ the equation that describes your line!
6 0
3 years ago
7) Alicia has a board game that is 18 inches wide and 18 inches long.
zysi [14]

Answer:

324 inches

Step-by-step explanation:

18 x 18 or 18² is 324

7 0
2 years ago
Read 2 more answers
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