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3 years ago

Jeff drives 14 miles to school but his sister only drives 5 7/10 miles. How much farther does Jeff drive than his sister?

Mathematics

1 answer:

Anna007 [38]3 years ago

3 0

14 - 5 7/10 = 13 10/10 - 5 7/10 = 8 3/10 <==

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What is the slope of the following graph?

lara31 [8.8K]

I believe the slope is -2/3

6 0

3 years ago

A skate ramp is 4.2 meters long. It rises up 1.7 meters. What’s is the angle of elevation to the nearest tenth of a degree?

Kipish [7]

Θ
=
arcsin
(
.7
4.2
)
≈
10
∘
Explanation:
We view the ramp as a right triangle. The hypotenuse is 4.2 and the vertical side .7, which is opposite the angle
θ
we seek.
sin
θ
=
.7
4.2
=
1
6
I'm going to finish the problem but I'll note if we were actually building the ramp we don't need to know the angle; this sine is sufficient.
θ
=
arcsin
(
1
6
)
θ
≈
10
∘
which I think is a pretty steep ramp for a wheelchair.
There will be another inverse sine that is the supplementary angle, around
170
∘
, but we can rule that out as a value for a ramp wedge angle.

4 0

3 years ago

The difference of six times a number and 7 is -49

gtnhenbr [62]

Greetings!

"The difference of six times a number and 7 is -49"...

In number and variables, this would be:
 $6x-7=-49
$

Add 7 to both sides.
 $(6x-7)+7=(-49)+7$
Simplify.
 $6x=-42$
Divide both sides by 6.
$(6x)/6=(-42)/6$
Simplify.
$x=-7$

Hope this helps.
-Benjamin

5 0

4 years ago

The simplified expression

Romashka-Z-Leto [24]

Answer:

$5x^2 y^2$

Step-by-step explanation:

We need to use the properties shown below to solve this:

1. $\sqrt[n]{x^a} =x^{\frac{a}{n}}$

2. $\sqrt{x}\sqrt{x} =x$

3. $\sqrt{x} \sqrt{y}=\sqrt{x*y}$

Area of a triangle is given by 1/2 * base * height, so we do that and simplify:

$A=\frac{1}{2}(\sqrt{5x^3} )(2\sqrt{5xy^4} )\\A=\frac{1}{2}(5x^3)^{\frac{1}{2}}*2*(5xy^4)^{\frac{1}{2}}\\A=\sqrt{5}x^{\frac{3}{2}}*\sqrt{5}\sqrt{x} } y^2\\A=\sqrt{5} \sqrt{5}x^{\frac{3}{2}} x^{\frac{1}{2}}y^2\\A=5*x^2y^2\\A=5x^2 y^2$

6 0

3 years ago

Juan scored 15 points more on this test than

maw [93]

Juan's least integer scores in both tests will be 85 and 100 respectively.

Test average of his two scores is atleast 92

Let :

Score on test 1 = b
Score on test 2 = b + 15

Average score can be related thus:

(Sum of score ÷ number of test) ≥ 92
(b + b + 15) ÷ 2 ≥ 92
(2b + 15) ÷ 2 = 92
2b + 15 = 184
2b = 184 - 15
2b = 169
b = 169 ÷ 2
b = 84.5

Therefore, since both scores are integers, his least scores on both tests will be ::

85 and (85 + 15) = 100

Learn more :brainly.com/question/15528814

8 0

3 years ago