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Andrews [41]
3 years ago
14

Is this expression equivalent to 1.5? 0.15 / 10 (0.15 divided by 10)

Mathematics
1 answer:
dimulka [17.4K]3 years ago
6 0

Answer:

False

Step-by-step explanation:

0.15/10 equals 0.015

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Find the area of a triangle with a base of 6 m and a height of 5 m.
Zanzabum

Answer:

15

Step-by-step explanation:

given,

height= 5m

base=6m

area of triangle =?

now,

area of triangle =1/2 b×h

=1/2× 6×5

=1/2 ×30

= 15,,

7 0
3 years ago
Read 2 more answers
What is the solution to the equation
Dafna11 [192]
\sqrt{4t+5}=3-\sqrt{t+5}\\\\D:4t+5\geq0\ \wedge\ t+5\geq0\ \wedge\ \sqrt{t+5}\leq3\\\\t\geq-\dfrac{5}{4}\ \wedge\ t\geq-5\ \wedge\ t\leq6

therefore
D:x\in\left< -\dfrac{5}{4};\ 6\right>

\sqrt{4t+5}=3-\sqrt{t+5}\ \ \ |^2\\\\(\sqrt{4t+5})^2=(3-\sqrt{t+5})^2\ \ \ |use:(a-b)^2=a^2-2ab+b^2\\\\4t+5=3^2-2\cdot3\cdot\sqrt{t+5}+(\sqrt{t+5})^2\\\\4t+5=9-6\sqrt{t+5}+t+5\ \ \ \ |-t\\\\3t+5=14-6\sqrt{t+5}\ \ \ \ |-14\\\\3t-9=-6\sqrt{t+5}\ \ \ \ |change\ signs
9-3t=6\sqrt{t+5}\ \ \ \ |:3\\\\3-t=2\sqrt{t+5}\ \ \ \ |^2\\\\(3-t)^2=(2\sqrt{t+5})^2\\\\3^2-2\cdot3\cdot t+t^2=4(t+5)\\\\9-6t+t^2=4t+20\ \ \ |-4t-20\\\\t^2-10t-11=0\\\\t^2+t-11t-11=0\\\\t(t+1)-11(t+1)=0\\\\(t+1)(t-11)=0\iff t+1=0\ \vee\ t-11=0\\\\t=-1\in D\ \vee\ t=11\notin D
Answer: t = -1.


7 0
3 years ago
Read 2 more answers
Y-1=2/3(x+9) in standard form
UNO [17]
First, distribute 2/3 to the values in the parentheses. This gives you y-1=2/3x+6.

To get y alone, we add 1 to both sides. This gets you y=2/3x+7.

y=mx+b
y=2/3x+7

It matches the standard form, so your final answer would be y=2/3x+7.
3 0
4 years ago
3 similar shirts and 4 similar jackets cost $360. 1 such shirt and 3 such jackets cost $220. Find the costof each shirt.
Lyrx [107]
3s + 4j = 360
1s + 3j = 220

This one we can solve using substitution, in that
s + 3j = 220 implies s = 220 - 3j (subtract 3j from each side).

Now substitute into the first equation:

3(220 - 3j) + 4j = 360.  Solve for jackets.
660 - 9j + 4j = 360  [Distributive property]
660 - 5j = 360 [Add -9j + 4j]
Subtract 360 from each side, and add 5j to each side.
660 - 360 - 5j + 5j = 360 - 360 + 5j
300 = 5j
Divide each side by 5.
$60 = price of a jacket.

Three of these plus a shirt runs $220.
3(60) = 180
180 + s = 220
180 - 180 + s = 220 - 180 [Subtract 180 from each side]
s =   40

Now we double check.
3(40) + 4 (60) = 120 + 240 = 360.  This satisfies the first equation.
We could check the second one too, but I'm satisfied.
4 0
3 years ago
What is the product of 4/7 and 1/5 as a fraction
Luba_88 [7]

Answer:

27/35

Step-by-step explanation:

\frac{4}{7}x5= 20/35

\frac{1}{5}x7=7/35

27/35

6 0
4 years ago
Read 2 more answers
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