Solve inequities :
1. )x−2 > −6
2. )35 > −6
3. )3.5n ≤ 7
4. )10 ≤ x+7

Answer:

0.0625 miles

Step-by-step explanation:

There is a faster way but this way makes more sense

1/4 miles = 440 yards

440/4 (since 4 people)

110 yards per person

Put back into miles

Everyone ran 0.0625 miles

Question

Daniel expanded the expression as shown. What errors did he make? Select three options.

[tex]-2(-8x-4y+3/4)=-10x-8y-1 \frac{1}{4}[/tex]

A. The first term should be positive.

B. The second term should be positive.

C. The last term should be -1 1/2, not -1 1/4.

D. He divided -8 by -2 instead of multiplying -8 by -2.

E. He did not simplify the expression completely.

Answer:

Daniel's errors are (a), (b) and (c)

Step-by-step explanation:

To do this, we only need to solve the expression on the left.

So, we have:

[tex]-2(-8x-4y+3/4)=[/tex]

Open bracket

[tex]-2(-8x-4y+3/4)=-2 * -8x -2 * -4y - 2 * 3/4[/tex]

[tex]-2(-8x-4y+3/4)=16x + 8y - \frac{2 * 3}{4}[/tex]

[tex]-2(-8x-4y+3/4)=16x + 8y - \frac{6}{4}[/tex]

[tex]-2(-8x-4y+3/4)=16x + 8y - 1\frac{1}{2}[/tex]

From the expression, we can see that:

So, Daniel's errors are (a), (b) and (c)

Answer:

4

Step-by-step explanation:

The LCD (Least Common Denominator) of all the fractions is 4, so you only need to multiply by 4.

Hope this helps :)

Answer:

Step-by-step explanation:

The greatest denominator is 4 so all the fractions will be eliminated when all terms are multiplied by 4.

Answer:

x = 13

∠WZX = 57°

Step-by-step explanation:

Because it is a rectangle, ∠XYZ is 90°

∠XZY + ∠YXZ = 90

(5x - 8) + (x + 20) = 90

simplify:

6x + 12 = 90

subtract 12 from each side

6x = 78

divide both sides by 6

x = 13

∠WZX is complimentary to angle (x + 20)

∠WZX = 90 - (13 + 20) = 57°

Answer:

42

Step-by-step explanation:

(38+45+28+50+52+48+60+30+27)/9

=42

Answer:

x = -5

y = -1

Step-by-step explanation:

Y= -6/5x-7 and y=2/5x+1

then:

-6/5x - 7 = 2/5x + 1

simplify:

-8/5x = 8

divide both sides by 8:

-1/5x = 1

multiply both sides by 5:

-x = 5

x = -5

y = 2/5(-5) + 1 = -2 + 1 = -1

Tax returns aren't gifts. They're refunds you get because the IRS withdrew too much from your paychecks or had withdrawals from other investment accounts. While it may seem like a great thing to have a tax return come each April, you pay for it the other 11 months of the year.

“A refund means you're giving your cash flow and income to the government in an interest-free loan.” The interest rate on one-year U.S. bonds is around 1.5%, so any interest the government could hypothetically pay on that loan would be very small: about $15 for every $1,000 in your refund.

Answer:

The answer is D

Step-by-step explanation:

We want to see which of the given values is a solution of the inequality:

x < 4

The correct option is A, x = 3.

So the inequality:

x < 4

This means that the variable must be a number smaller than 4.

Then we just need to select the option that is smaller than 4, the only option that meets this requirement is option A, x = 3

Also, as you can see in the number line, the only number that is in the shaded part is x = 3 (from the ones in the options).

If you want to learn more about inequalities, you can read:

https://brainly.com/question/18881247

Answer:

1) Lower bound = 23.5 cm

Upper bound = 24.5 cm

2) I disagree

3) 7.88

4) 2.32

5) Ahmed = 60 kg

Jasim = 20 kg

Dalal = 100 kg

Step-by-step explanation:

1) diameter = 24 cm was rounded up to the nearest cm.

Now, usually, we round up 0.5 to the next whole number. This means that, the actual diameter is;

23.5 ≤ D < 24.5

Thus;

Lower bound = 23.5 cm

Upper bound = 24.5 cm

2) If you weigh 57g,converting to kg is 0.57 kg.

Now, this does not fall in between 56.5kg and 57.5kg given.

Thus, I disagree that your weight could be anything between 56.5kg and 57.5kg .

3) 7.875 approximated to the nearest two decimal place = 7.88

4) 2.3242900000 to the nearest 2 decimal place = 2.32

5) 180 kd shared between ahmed ,jasim and Dalal in the ratio of 3:1:5.

Total part of ratio = 3 + 1 + 5 = 9

Their respective shares are;

Ahmed = 3/9 × 180 = 60 kg

Jasim = 1/9 × 180 = 20 kg

Dalal = 5/9 × 180 = 100 kg

An Irrational Number is a real number that cannot be written as a simple fraction. An irrational number cannot be written as a simple fraction.

7.1234 is irrational because it is a nonterminating, nonrepeating decimal.

65.4349224 is also irrational

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hope it helps

y = x + 7

For -1:

y = -1 + 7 = 6

y = 7

(x,y) = ( -1, 7)

For 0:

y = 0+ 7

y= 7

(x,y) = (0,7)

For 2:

y = 2+ 7

y= 9

(x,y) = (2,9)

For 4:

y = 4+ 7

y= 11

(x,y) = (4,11)

Answer:

Step-by-step explanation:

56(cos(33) + i sin(33)) = 7(cos(11°) + i sin(11°))

Divide both sides by 7 to get;

8(cos(33) + i sin(33)) = (cos(11°) + i sin(11°))

Expanding and Rearranging gives;

8cos(33) + 8i sin(33)) - cos(11) - isin(11)

This gives ;

8Cos(22) + 8i sin(22) = 8(Cos(22) + I sin(22)

Answer:

You add up all numbers then divide it by how many numbers.

Step-by-step explanation:

Example. You have 1, 2, 3, 4, 5.

So 1+2+3+4+5

=15

Then 15÷5

So answer would be 3.

Hope this helps.

Answer:

y -10 = -1/9 (x-9)

Step-by-step explanation:

Point slope form is

y-y1 = m (x-x1)

y -10 = -1/9 (x-9)

Answer: that means you have a 3/6 chance which can be simplified to 1/2

1, 3 and 5 are the odd numbers

Step-by-step explanation:

Answer:

the answer is c 1/2

Step-by-step explanation:

since there are 6 numbers on the die that range from 1-6, that means there are three odd numbers, so the probability would be 3/6, which can reduce to 1/2

Answer:

Using Pythagoras theorem for right angled triangle,

x^2 = 14^2 + 15^2

X= ✓ 196 + 225

X= ✓ 421

X=20.5

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

P=2K

50K+75P=1200, using P from above makes this equation become

50K+75(2K)=1200

50K+150K=1200

200K=1200

K=6, since P=2K

P=2(6)=12

So 12 puppies and 6 kittens were adopted.

Given:

Rate of simple interest = 5%

Time = 4 years

Total interest = $160

To find:

The amount borrowed by Austin from a credit union.

Solution:

The formula for simple interest is:

[tex]I=\dfrac{P\times r\times t}{100}[/tex]

Where, P is principal, r is the rate of interest and t is the number of years.

Putting [tex]I=160,r=5,t=4[/tex] in the above formula, we get

[tex]160=\dfrac{P\times 5\times 4}{100}[/tex]

[tex]160=\dfrac{20P}{100}[/tex]

[tex]160=\dfrac{P}{5}[/tex]

Multiply both sides by 5.

[tex]800=P[/tex]

Therefore, Austin borrowed $800 from a credit union for 4 years.

Answer:

h

Step-by-step explanation:

trust me js divide

Answer:

D. -3 for every 1 to the right, in goes down 3.

E. 0, the graph could represent no change over time.

F.

assume the point on the graph is the origin, you can graph these

(2,-4)

(1,-2)

(0,0)

(-1,2)

(-2,4)

(-3,6)

Step-by-step explanation:

Answer:

Its not true because:

Step-by-step explanation:

if you divide by M, with M not being 0, ypu have the equation L=N which is false

Step-by-step explanation:

Convert all into decimals:

0.14, 4/8=0.5,0.33

Answer:

0.14, 0.33, 0.5

      or

0.14, 3/9, 4/8

Answer:

[tex]\frac{-2}{3}[/tex]

Step-by-step explanation:

y2-y1/x2-x1

-2-2/18-12

-4/6

-2/3