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max2010maxim [7]
2 years ago
12

A recipe uses 1/4 teaspoon of salt and 2 1/2 teaspoons of sugar. What is the ratio of salt to sugar in this recipe?​

Mathematics
1 answer:
KATRIN_1 [288]2 years ago
5 0

Answer:

1:10

Step-by-step explanation:

the ratio we can it is

\frac{amount\:salt}{amount\:sugar}\\\\\frac{\frac{1}{4}}{2\frac{1}{2}}\\\\\frac{\frac{1}{4}}{\frac{5}{2}}\\\\\frac{1\times2}{4\times5}\\\\\frac{1}{2\times5}\\\\\frac{1}{10}

so the ratio is 1:10

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Which of the following points is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2?
MA_775_DIABLO [31]

Answer:

A (0,3)

Step-by-step explanation:

The given trapezoid has vertices:

(0,6), (7,12), (7,9) and (0,12).

We want to choose from the given options, a point that is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2.

Note that the mapping for such a dilation is:

(x,y)\to( \frac{1}{2} x, \frac{1}{2} y)

This implies that:

(0,6)\to(0,3)

(7,12)\to(3.5,6)

(7,9)\to(3.5,4.5)

(0,12)\to(0,6)

Therefore correct choice is (0,3)

8 0
3 years ago
What is the value of x in the equation <br> -5/8x=-160?
Helen [10]

Answer:

x= 1/256

Step-by-step explanation:

1. multiply both sides by 8x (answer: -5= 8x*-160)

2. divide both sides by -160 (answer: -5/-160 or 1/32 =8x)

3. divide both sides by 8 (answer: 1/256 = x

4. check your answer: -5/(8*1/256)= -160

5 0
3 years ago
What is the slope of the line y=2x+5?​
sweet [91]
Answer:

The slope is 2

Explanation:

The equation is written in y=mx+b
M would always be the slope and b the y intercept

Hope this helps!!
4 0
2 years ago
Read 2 more answers
Suppose $600 is compounded yearly for 20 years. If no other deposits are made, what rate is needed for the balance to triple in
denis-greek [22]

Answer:

5.65%

Step-by-step explanation:

Principal=$600

Time=20 years

FV=600*3=$1800

n=1

r=?

r= n[(A/P)^1/nt - 1]

=1{(1800/600)^ 1/1*20 - 1}

={(3)^1/20-1}

=3^0.05-1

=1.0565-1

=0.0565

rate=0.0565*100

=5.65% to the nearest hundredth percent

4 0
3 years ago
Find the measure of ∠X
AVprozaik [17]

Answer:

  • 7) 65°
  • 8) 25°

Step-by-step explanation:

<u>Question 7</u>

Angle formed by 2 chords is half of the sum of the intercepted arcs

  • x = 1/2(72° + 58°) = 1/2(130°) = 65°

<u>Question 8</u>

Angle formed by 2 secants is half of the difference of the intercepted arcs

  • x = 1/2(360° - (130° + 98° + 41°) - 41°) = 1/2(50°) = 25°
3 0
2 years ago
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