TRUE OR FALSE: −3 is a solution for the compound inequality b ≤ 4 and b > −1.

Answers

Answer 1

Answer:

- 3 is a solution that satisfies both inequalities.So, the correct answer is True.The compound inequality consists of two separate inequalities connected by "and."

1.b ≤ 4:This means that "b" is less than or equal to 4.

2.b > −1:This means that "b" is greater than -1.

If we consider a number line, the values that satisfy both conditions are those that are greater than -1 but also less than or equal to 4. The value -3 falls within this range. It is greater than -1 and also less than 4.

Therefore, -3 is a solution that satisfies both inequalities, making the statement true.

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Answer 2

Answer:

Answer:

TRUE

hope it's right

Step-by-step explanation:

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What is the value for y?Enter your answer in the box.y =
A box has sides of 10 cm, 8.2 cm, and 3.5 cm. What is its volume?
A number increased by fifteen is nineteen. A number increased by fifteen is nineteen.

What number is 60% of 25?

Answers

Step 1. 60%= .60
Step 2. 25*.60= 15

OR

X/25 = 60/100
25*60=100X
1500=100x
x=1500/100
x=15

I like to use is=%*of so the is is x percent is .60 and of is 25 so you would set it up like
is=%*of
x=.60*25
.60*25=15

Explain how you would write 36/10 as s decimal

Answers

So make the improper fraction into a mixed fraction.
36/10 in mixed fraction form is 3 6/10
You know that 3 is a whole number and 6 is the decimals tenths place so the decimal is 3.6

I would write 36/10 as a decimal by first dividing 36 by 10 to get 3.60. Your answer is 3.60.

if the US Senate, with 100 members, contains 20 more Democrat's than Republicans how many Democrat's does it contain?

Answers

There are 60 Democrat's does it contain.

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

Number of members = 100

And, It contains 20 more Democrat's than Republicans.

Now, Let number of Democrat's does it contain = x

Then, Number of Republicans does it contain = x - 20

Since, Number of members = 100

Hence, We can formulate;

⇒ x + (x - 20) = 100

⇒ 2x = 100 + 20

⇒ 2x = 120

⇒ x = 60

Thus, Number of Democrat's does it contain = 60

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100=d+(d-20)
First add 20 to both sides.
120=d+d
Now divide the sides by 2.
D=60
There are 60 democrats.
100=60+(60-20)
100=60+40

there are 60 democrats and 40 republicans

A building measuring 90m by60m is to be built. A paved area of uniform will surround the building. The area is to have an are of 9000 metres squared. How wide is the paved area

Answers

A= 9000m squared and A= base(width)*hight or A=b*h so divide 9000m by 60m
9000/60=(1050) 60 120 180 240 300 360 420 480 and so on
1 2 3 4 5 6 7 8

Good evening guys

I nee your help , can you ?

Answers

5h^3: 5 * h * h * h
20h^2: 2 * 2 * 5 * h * h
GCF(5h^3, 20h^2) = 5h^2

4h: 2 * 2 * h
16: 2 * 2 * 2 * 2
GCF(4h, 16) = 4

The answer is C.

On Monday, Luis picked up seven scones and six large coffees for the office staff. He paid $ 29.97. On Tuesday, Rachel picked up four scones and five large coffees for the office staff. She paid $ 20.08. What is the cost of one scone? What is the cost of one large coffee?

Answers

Answer:

each scone cost 2.67

each coffe cost 1.88

Step-by-step explanation:

Luis:

(1) 29,97=7Scons+6Coffe

(2) Scons=(29,97-6coffe)/7

Rachel

(3) 20,08=4scons+5Coffe

if we replace eq.(2) in (3)

(4) 20,08=4*(29,97-6coffe)/7+5coffe

(5) 20,08=17.1257+1,5714 coffee

(6) coffe=1,88

if we replace (6) in (2) we obtain

scons=(29,97-6*1.88)/7=2.67

Final answer:

Let S represent the price of a scone and C represent the price of a coffee. Form equations from the given information (7S + 6C = $29.97 and 4S + 5C = $20.08) and solve them simultaneously to find the price of a scone and a coffee.

Explanation:

This is an algebra problem where you can set up two equations based on the information given. If we represent the price of a scone as S and the price of a large coffee as C, we can say:

7S + 6C = $29.97 (Luis' purchase)
4S + 5C = $20.08 (Rachel's purchase)

You can then solve these equations simultaneously to find the values of S and C, which represent the price of a scone and a large coffee, respectively.

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