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Nadya [2.5K]
3 years ago
5

Six less than twice a number is -22

Mathematics
1 answer:
mihalych1998 [28]3 years ago
8 0
2x-6=-22
+6 +6
2x=-16
2/2x=-16/2
x=-8
The number is -8
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Lsabel is making lemonade for a party with 12 guests.She wants to make equal serving that are least 2 cups each.She makes 7 quar
notsponge [240]

Answer: Yes, and she will have 4 cups leftover


Step-by-step explanation:

1 Quart = 4 cups

Convert the quarts: 7 * 4 = 28

Find the amount of cups needed in total: 12* 2 = 24

Subtract to see if possible: 28- 24 = 4

8 0
3 years ago
A garden hose having an internal diameter of 0.740 in. ( 1.8796 cm ) is connected to a lawn sprinkler that consists merely of an
lara31 [8.8K]

Answer:

It will leave the sprinkler at speed of v_2=613.87m/sec

Step-by-step explanation:

We have given internal diameter of the garden hose d_1=0.740in=1.8796cm

So radius r_1=\frac{d_1}{2}=\frac{1.8796}{2}=0.9398cm

So area A_1=\pi r_1^2=3.14\times 0.9398^2=2.7733cm^2

Water in the hose has a speed of 4 ft/sec

So v_1=4ft/sec=121.92cm/sec(As\ 1ft/sec\ =30.48cm/sec)

Number of holes n = 36

Diameter of each hole d_2=0.1397cm

So radius r_2=0.0698cm

So area A_2=\pi r^2=3.14\times 0.0698^2=0.0153cm^2

From continuity equation

A_1v_1=nA_2v_2

2.7733\times 121.92=36\times 0.0153\times v_2

v_2=613.87m/sec

7 0
3 years ago
Can someone please help me???<br><br> a is 3/4<br> b is -8<br> c is -2<br> d is 3
Pavel [41]

Answer:

-b[a + (c-d)^2]

-(-8)[3/4 + (-2 -3)^2]

8 [3/4 + (-5)^2]

8 [3/4 + 25]

8 [25.75]

206

5 0
3 years ago
Read 2 more answers
Mr. and mrs. lorenzo want to buy a home valued at $213,500. if they have 18% of this amount saved for a down payment, how much h
Vesnalui [34]

Option d is the correct answer. $38,430.00 is the amount saved for a down payment given that Mr. and Mrs. Lorenzo want to buy a home valued at $213,500 and they have 18% of this amount saved for the down payment. This can be obtained by using percentage formula.

<h3>How much have they saved?</h3>

The percentage of a number can be obtained using percentage formula,

If P% of X is Y then it can be denoted using the formula of percentage as,

⇒ P% of X = Y

⇒ P% × X = Y   (where P% is P/100)

Here in the question it is given that,

  • Mr. and Mrs. Lorenzo want to buy a home valued at $213,500
  • They have 18% of this amount saved for a down payment

We have to find the amount they saved for the down payment.

  • Given that the total amount = $213,500
  • Percentage they are saving = 18%

The amount they saved for the down payment,

18% of the total amount = 18% of $213,500

Using the percentage formula we get,

18% of $213,500 = 18% × $213,500  

18% of $213,500 = 18/100 × $213,500

18% of $213,500 = $ 38,430.00

Hence Option d is the correct answer. $38,430.00 is the amount saved for a down payment given that Mr. and Mrs. Lorenzo want to buy a home valued at $213,500 and they have 18% of this amount saved for the down payment.

Learn more about percentages here:

brainly.com/question/14366896

#SPJ4

3 0
2 years ago
What is the sum of the geometric series 2^0 + 2^1 + 2^2 + 2^3 + 2^3 + 2^4 + … + 2^9?
mars1129 [50]
The nth term is
an=a1(r)^(n-1)
an=1(2)^(n-1)
a1=1
r=2

the sum of a geometric seequence is
S_{n}=\frac{a_{1}(1-r^{n})}{1-r}
a1=1
r=2
we want to find S_{10} (since we minus 1, the highest exponet is 9 so add 1 to make it correct)

S_{10}=\frac{1(1-2^{10})}{1-2}
S_{10}=\frac{(1-1024}{-1}
S_{10}=\frac{(-1023}{-1}
S_{10}=1023

3 0
2 years ago
Read 2 more answers
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