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8090 [49]
3 years ago
9

-10 + x + 4 - 5 = 7x - 5Step by Step please​

Mathematics
2 answers:
poizon [28]3 years ago
4 0

Answer:  x=-1

Step-by-step explanation:

−10+x+4−5=7x−5

−10+x+4+−5=7x+−5

(x)+(−10+4+−5)=7x−5(Combine Like Terms)

x+−11=7x−5

x−11=7x−5

Step 2: Subtract 7x from both sides.

x−11−7x=7x−5−7x

−6x−11=−5

Step 3: Add 11 to both sides.

−6x−11+11=−5+11

−6x=6

Step 4: Divide both sides by -6.

−6x

−6

=

6

−6

x=−1

kati45 [8]3 years ago
3 0

Answer:

-10 + x + 4 - 5=7x - 5

Combine all like terms (numbers).

-11 + x = 7x - 5

Add 11 to both sides.

x = 7x + 6

Subtract 7x from both sides.

-6x=6

Divide both sides by -6.

x=-1

:)

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2000 yds = __________ miles __________ yds
liraira [26]

Answer:

1 mile and 240 yards

Step-by-step explanation:

5 0
3 years ago
You deposited 8500 dollars in a saving account that earns a simple interest rate. what interest rate do you need to be paid if y
V125BC [204]

Answer:

23.75%

Step-by-step explanation:

Use formula

I=P\cdot r\cdot t,

where

I = interest,

P = principal,

r = rate (as decimal),

t = time (in years).

In your case,

I=\$8,500\\ \\P=\$10,093.75\\ \\t=60\text{ months}=5 \text{ years}

Substitute:

10,093.75=8,500\cdot r\cdot 5\\ \\r=\dfrac{10,093.75}{8,500\cdot 5}=0.2375=23.75\%

6 0
4 years ago
Please help me ASAP thank uu
ZanzabumX [31]

Answer:

51°

Step-by-step explanation:

Remember, all 3 angles must add up to 180°

We can tell that this triangle is a right triangle, or a triangle that has a 90° angle. We also have another angle given, which is 39°. Currently we have two angles given.

Since all 3 angles have to add up to 180°,

90 + 39 + x = 180°

129 + x = 180°

180 - 129 = x

x = 51°

The missing angle is 51°

To see if your calculation is correct, you could add all 3 angles, and it should give you 180 as a sum.

90 + 39 + 51 = 180

Correct!

4 0
3 years ago
An article describes the chemical compositions of certain minerals in the early Archaean mantle. For a certain type of olivine a
Ket [755]

Answer:

The mean is 40.35 and the standard deviation is 0.13.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a certain type of olivine assembly, the silicon dioxide (SiO2) content (in weight percent) in a randomly chosen rock has mean 40.35 and standard deviation 0.4.

Sample of 10:

By the Central Limit Theorem, the mean is 40.35, and the standard deviation is s = \frac{\sigma}{\sqrt{n}} = \frac{0.4}{\sqrt{10}} = 0.13

The mean is 40.35 and the standard deviation is 0.13.

5 0
3 years ago
What is the focus of the parabola? y=−1/4x2−x+3
alex41 [277]

Answer:  Focus = (-2, 3)

<u>Step-by-step explanation:</u>

y=-\dfrac{1}{4}x^2-x+3\\\\\rightarrow a=-\dfrac{1}{4},\ b=-1

First let's find the vertex. We do that by finding the Axis-Of-Symmetry:

AOS: x=\dfrac{-b}{2a}\quad =\dfrac{-(-1)}{2(\frac{-1}{4})}=\dfrac{1}{-\frac{1}{2}}=-2

Then finding the maximum by inputting x = -2 into the given equation:

y=-\dfrac{1}{4}(-2)^2-(-2)+3\\\\y=-1+2+3\\\\y=4

The vertex is: (-2, 4)

Now let's find p, which is the distance from the vertex to the focus:

a=\dfrac{1}{4p}\\\\\\-\dfrac{1}{4}=\dfrac{1}{4p}\\\\\\p=-1

The vertex is (-2, 4) and p = -1

The focus is (-2, 4 + p) = (-2, 4 - 1) = (-2, 3)

3 0
3 years ago
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