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3 years ago

6

Linda has 50 pages in her scrapbook. She used 8 pages for things about her family. Two-thirds of the remaining pages are about h

er friends, and the rest are blank. How many blank pages remain? You can use reasoning to solve the problem

1 answer:

NikAS [45]3 years ago

7 0

Answer:

14 pages remain blank

Step-by-step explanation:

subtract 50-8 and u get 42. 42 is how many pages r left so u figure out 2/3 of 42 which is 28 so 28 pages are about her friends. To figure out how many pages are left blank u would subtract 42-28. 42-28=14 so 14 pages r left blank.

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Mrs. Martz is travelling to 300 miles to Florida

Scrat [10]

Answer:

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Step-by-step explanation:

300/60%=180

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4 years ago

G=h(t) + p(c) is an equation that represents the gross pay of a server: Gross pay = hourly wage (time worked) + percent tip (cos

rusak2 [61]

Answer:

$105.5 for 16 hours at $6.59 per hour

Step-by-step explanation:

form the equation given, G=h(t) + p(c)

where G=Gross pay,

h= hourly wage

t=time worked

p=percent tip

c=cost of customer meals

we determine the gross pay by first determining the independent variables

h=$4.25, t=16 hours,

$p=15%of c\\p=\frac{15}{100}*250 \\p=37.5$

if we substitute values, we arrive at

$G=h(t)+p(c)\\G=4.25(16)+37.5\G=68+37.5\\G=105.5$

to determine the per hour gross pay we have

105.5/16

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3 0

3 years ago

A hubcap has a radius of 12 centimeters. What is the area of the hubcap? Round your answer to the nearest hundredth. Use 3.14 fo

lana66690 [7]

Answer:

The area of hub cap is 452.16 square centimeters.

Step-by-step explanation:

We are given the following in the question:

Radius of hubcap = 12 cm

A hubcap is of the shape of circle.

Area of hubcap = Area of circle

Area of hubcap =

$\pi r^2$

where r is the radius of the hubcap.

Putting the values, we get,

$\pi r^2\\= 3.14\times (12)^2\\= 452.16 \text{ square centimeter}$

Thus, the area of hub cap is 452.16 square centimeters.

8 0

4 years ago

Let A = { x ∈ R : x 2 − 5 x + 4 ≤ 0 } , B = (3 , 5), and C = (3 , 4]. Show that A ∩ B = C . (Recall, you must show two separate

kolbaska11 [484]

Answer:

You can proceed as follows:

Step-by-step explanation:

First solve the quadratic inequality $x^{2}-5x+4\leq 0$ . To do that, factorize, then we have that $(x-4)(x-1)\leq 0$ . This implies that

$x-1\leq 0\, \text{and}\, x-4\geq 0$

or

$x-1 \geq 0\, \text{and}\, x-4\leq 0$

In the first case the solution is the empty set $\emptyset$ . In the second case the solution is the interval $1\leq x \leq 4$ . Now we have that

$A=[1,4]$

$B=(3,5)$

$C=(3,4]$ .

To show that $A\cap B\subseteq C$ consider $x\in A\cap B$ . Then $1\leq x \leq 4\, \text{and}\, 1$ , this implies that $3$ , then $x\in C$ . Now, to show that $C\subseteq A\cap B$ consider $x\in C$ , then $3$ , then $1\leq x \leq 4\, \text{and}\, 3$ , then $x\in [1,4] \, \text{and}\, x\in (3,5)$ , this implies that $x\in A\cap B$ .

Observe the image below.

7 0

4 years ago

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the

Pani-rosa [81]

Answer:

10x + 5y = 11

Step-by-step explanation:

I usually find it in slope intercept then convert, it's easier for me.

First you find slope using delta y over delta x giving you -2/5.

so you have y=-2/5x + b

To find b plug in a point and solve down

1 = -2/5(3) +b

1+6/5 = b

b = 11/5

y=-2/5x + 11/5

Then you convert it to Ax+by=C form,

multiply by 5

5y = -10x + 11

move x

10x +5y = 11

4 0

3 years ago

Read 2 more answers