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Alex Ar [27]
2 years ago
5

Max drives 105 miles per week. If he drives an equal number of miles each day, then how many miles will max drive in a 30 day mo

nth
Mathematics
1 answer:
SIZIF [17.4K]2 years ago
8 0

Answer:

350 miles

Step-by-step explanation:

if max drives 105 miles per week

you should first find out how many miles max drives per day.

there are 7 days in a week so :

105 ÷ 7 = 15

so for 30 days max will drive 15 × 30 = 350 miles

1 day : 15 miles

30 days : 350 miles

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3.
natima [27]

Answer:

See explanation

Step-by-step explanation:

Let x be the number of spade shovels, y -the number of flat shovels and z - the number of square showels sold that day.

The store keeps an inventory of 80 shovels, then

x+y+z=80

The store always buy twice as many spade shovels as square, so

x=2z

The total cost of all shovels is

16x+9.60y+12.80z=1,072

a) The system of three equations is

\left\{\begin{array}{l}x+y+z=80\\ \\x=2z\\ \\16x+9.60y+12.80z=1,072\end{array}\right.

b) In matrix form this is

\left(\begin{array}{ccc}1&1&1\\ 1&0&-2\\ 16&9.60&12.80\end{array}\right)\cdot \left(\begin{array}{c}x\\y\\z\end{array}\right)=\left(\begin{array}{c}80\\0\\1,072\end{array}\right)

c) The determinant is

\left\|\begin{array}{ccc}1&1&1\\ 1&0&-2\\ 16&9.60&12.80\end{array}\right\|=0-32+9.60-0+19.20-12.80=-16

d) Find three determinants:

\left\|\begin{array}{ccc}80&1&1\\ 0&0&-2\\ 1,072&9.60&12.80\end{array}\right\|=0-2,144+0-0+1,536-0=-608

\left\|\begin{array}{ccc}1&80&1\\ 1&0&-2\\ 16&1,072&12.80\end{array}\right\|=0-2,560+1,072-0+2,144-1,024=-368

\left\|\begin{array}{ccc}1&1&80\\ 1&0&0\\ 16&9.60&1,072\end{array}\right\|=0+0+768-0-0-1,072=-304

So,

x=\dfrac{-608}{-16}=38\\ \\y=\dfrac{-368}{-16}=23\\ \\z=\dfrac{-304}{-16}=19

e) If the store doubled all prices and inventory, then the new matrix is

\left(\begin{array}{ccc}1&1&1\\ 1&0&-2\\ 32&19.20&25.60\end{array}\right)\cdot \left(\begin{array}{c}x\\y\\z\end{array}\right)=\left(\begin{array}{c}160\\0\\2,144\end{array}\right)

7 0
3 years ago
At a movie theater, admission tickets cost $10 for adults and $8 for children. On Saturday, Anne Teak collected a total of $1276
kow [346]

Answer:

Part a) variable x (the number of adult tickets sold) and variable y (the number of child tickets sold)

Part b) 10x+8y=1,276

Part c) The number of adult tickets sold was 86

Step-by-step explanation:

Part a) Name a variable for the number of adult tickets sold and name a variable for the number of child tickets sold

Let

x -----> the number of adult tickets sold

y -----> the number of child tickets sold

Part b) Write an equation in two variables to model the problem

we know that

10x+8y=1,276 -----> equation A

y=52  -----> equation B

substitute equation B in equation A and solve for x

10x+8(52)=1,276

10x+416=1,276

Part c) Using your equation in Part B, solve the problem and answer the question "how many adult tickets did Anne sell?" i

we have

10x+416=1,276

Solve for x

Subtract 416 both sides

10x=1,276-416

10x=860

x=86

therefore

The number of adult tickets sold was 86

7 0
3 years ago
The domain for f(x) and g(x) is the set of all real numbers.
Tom [10]

Answer:

Option B

Step-by-step explanation:

=> f(x) = 3x+5

=> g(x) = x^2

Subtracting both

=> (f-g)(x) = 3x+5-x^2

Assembling

=> (f-g)(x) = -x^2+3x+5

3 0
3 years ago
I am a decimal. Count on in 0.5s from zero and you will get to me immediately before you say 10.
Maru [420]
I believe it.s 4.5 or 9.5
6 0
3 years ago
Write two equivalent ratios for 8 and 9
Lemur [1.5K]

Answer:

16:18

24:27

Step-by-step explanation:

16:18 ( multiply both numbers by 2)

24:27 ( multiply both numbers by 3)

Hope this helped even tho I am late

6 0
3 years ago
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