3 divided by what equals -8.16

How many liters of water must be added to 15 liters of 40 % sugar syrup to obtain 30 % sugar syrup?

Ivanshal [37]

Answer:

The amount of water need to be added is 5 liters.

Step-by-step explanation:

Let's "x" be amount of water in (liters) added to 15 liters of 40% of sugar syrup.

Now find the amount of sugar syrup = 40% of 15

= 0.4 × 15

The amount of sugar syrup = 6 Liters

To dilute 30% we need to find amount of water to be added.

So,

30% of (15 + x) = 6

0.3 × (15 + x) = 6

4.5 + 0.3x = 6

0.3x = 6 - 4.5

0.3x = 1.5

Dividing both sides, by 0.3, we get

x = 5

So, the amount of water need to be added is 5 liters.

6 0

4 years ago

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At a party of 102 people,17 lb of potato salad is served. a. Write and solve an equation to find how many people each pound of p

Novay_Z [31]

Each pound of potato salad serves 6 people and the average number of pounds of potato salad that each person is served will be $\frac{1}{6}$ pound.

Explanation

At a party of 102 people, 17 pounds of potato salad is served.

a. Suppose, each pound of potato salad is served to $x$ number of people.

So, 17 pounds of salad is served to $(17*x)$ or $17x$ number of people. That means......

$17x= 102\\ \\ x= \frac{102}{17}=6$

So, each pound of potato salad is served to 6 people.

b. Suppose, the average number of pounds of potato salad that each person is served is $y$

So, the total number of pounds of salad, served to 102 people $= (y*102)$ pounds $=102y$ pounds. That means .....

$102y= 17\\ \\ y= \frac{17}{102}= \frac{1}{6}$

So, the average number of pounds of potato salad that each person is served will be $\frac{1}{6}$ pound.

3 0

3 years ago

1 1/18 + 3 1/18 + 1 2/9 + 1 2/9

Misha Larkins [42]

Answer:

6.55555555556

Step-by-step explanation:

6 0

3 years ago

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A person must score in the upper 8% of the population on an IQ test to qualify for membership in MENSA, the international high-I

Cloud [144]

Answer:

A person must get an IQ score of at least 138.885 to qualify.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 115, \sigma = 17$

(a). [7pts] What IQ score must a person get to qualify

Top 8%, so at least the 100-8 = 92th percentile.

Scores of X and higher, in which X is found when Z has a pvalue of 0.92. So X when Z = 1.405.

$Z = \frac{X - \mu}{\sigma}$

$1.405 = \frac{X - 115}{17}$

$X - 115 = 17*1.405$

$X = 138.885$

A person must get an IQ score of at least 138.885 to qualify.

5 0

3 years ago

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Find the angle that makes them supplementary.

8090 [49]

Answer:

Mathematics NCERT Grade 7, Chapter 5: Lines and Angles is all about different lines, line segments, and angles.

A line segment has two end points.

A ray has only one end point (its vertex).

A line has no end points on either side.

This chapter throws light on topics such as related angles, pair of lines. The chapter deals with different types of angles and lines. The types of angles discussed in this chapter are as follows:

Pairs of Angles Condition

Two complementary angles Measures add up to 90°

Two supplementary angles Measures add up to 180°

Two adjacent angles Have a common vertex and a common arm but no common interior

Linear pair Adjacent and supplementary

A linear pair is a pair of adjacent angles whose non-common sides are opposite rays.

All the types are discussed in detail and are supplemented with examples and short questions.

Under the topic pair of lines, various sub-sections are discussed namely:

Intersecting lines

Transversal

Angles made by a transversal

When two lines intersect (looking like the letter X) we have two pairs of opposite angles. They are called vertically opposite angles. They are equal in measure.

A transversal is a line that intersects two or more lines at distinct points.

Six angles discussed in this section:

1. Interior angles

2. Exterior angles

3. Pairs of Corresponding angles

4. Pairs of Alternate interior angles

5. Pairs of Alternate exterior angles

6. Pairs of interior angles on the same side of the transversal

Transversal of parallel lines

5 0

3 years ago