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velikii [3]
3 years ago
12

Jason’s family drove 120 miles using 5 gallons of gas. At this rate, how many miles can they drive on 8 gallons of gas? Use the

number-line diagram shown.
Mathematics
1 answer:
KatRina [158]3 years ago
6 0

Answer:

192

Step-by-step explanation:

120/5=24

24x8=192

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3 years ago
Megan owes $2900. The first week she will pay back $30. The second week she will pay back $35. The third week she will pay back
weqwewe [10]

Answer:

It's D.

Step-by-step explanation:

You add.

<em>That's it.</em>

8 0
3 years ago
6. Let f and g be differentiable functions
Julli [10]

Answer:

(b) 1

Step-by-step explanation:

To differentiate h(x)=f(x)g(x) we will need the product rule:

h'(x)=f'(x)g(x)+f(x)g'(x).

We have h'(x)=f(x)g'(x), so the following equation is true by the transitive property:

f'(x)g(x)+f(x)g'(x)=f(x)g'(x)

By subtraction property we have:

f'(x)g(x)=0

Since g(x) \neq 0, then we can divide both sides by g(x):

f'(x)=\frac{0}{g(x)}

f'(x)=0

This implies f(x) is constant.

So we have that f(x)=c where c is a real number.

Since f(0)=1 and f(0)=c, then by transitive property 1=c.

So f(x)=1.

Checking:

h(x)=1 \cdot g(x)

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5 0
3 years ago
LOMMON COREATHEMATICS CURRICULUM
Gelneren [198K]

Answer:

The total length of string needed for 17 identical decorative bottles is 35.70 meters

Step-by-step explanation:

Let us solve the question

∵ String A is 35 centimeters long

∵ String B is 5 times as long as String A

→ Multiply the length of A by 5 to get the length of B

∴ The length of string B = 35 × 5 = 175 cm

∵ Both are necessary to create a decorative bottle

∴ The length needed for 1 bottle = 35 + 175 = 210 cm

∴ Each bottle needs 210 cm to be decorated

∵ There are 17 identical bottles

→ Multiply the length needed for 1 bottle by 17

∴ The total length needed = 17 × 210 = 3570 cm

∴ The total length needed to decorate 17 bottles is 3570 cm

∵ 1 meter = 100 centimeter

→ Divide the total length by 100 to express it in meters

∴ 3570 cm ÷ 100 = 35.70 m

The total length of string needed for 17 identical decorative bottles is 35.70 meters

7 0
3 years ago
What expression shows 0.624 in expanded form
julia-pushkina [17]
   .600     >
   .020      > Expanded Form
<u>+ .004 </u>    >     <u>
</u>   .624

3 0
3 years ago
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