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Nuetrik [128]
3 years ago
5

Samuel is saving to buy a watch that costs 169 this is $48 more than 4 times what he saved last month how much did he save last

month?
Mathematics
1 answer:
evablogger [386]3 years ago
3 0
Samuel would have saved $30.25

First, subtract 48 form 169. then divide by 4. 
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Select the property of equality used to arrive at the conclusion. if 1/3 x=5 then x=15 the multiplication property of equality t
REY [17]

If we take both sides of the equation \frac{1}{3} x=5 and <em>multiply either expression by 3</em>, the equality becomes

3\cdot\frac{1}{3}x=3\cdot5\\x=15

Multiplication of both sides of an equality by the same number keeps the equality true, and we call this property the multiplication property of equality.

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3 years ago
An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in California. Suppose that
sergiy2304 [10]

Answer:

(22.0297, 23.3703)

Step-by-step explanation:

Given that an economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in California.

Let X be per capita income (in thousands of dollars) for a major city in California.

Mean = 22.7

n = 183

Population std dev = 6.3

Since population std dev is known we can use Z critical value.

Std error = \frac{6.3}{\sqrt{183} } \\=0.4657

Z critical =1.44

Marginof error = ±1.44*0.4657=0.6706

Confidence interval 85%

=(22.7-0.6703, 22.7+0.6703)\\= (22.0297, 23.3703)

7 0
3 years ago
Find the equation of a parabola with a vertical axis and its vertex at the origin and passing through the point (-2, 3)
vredina [299]

a vertical axis, I assume it means a vertical axis of symmetry, thus it'd be a vertical parabola, like the one in the picture below.

\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} y=a(x- h)^2+ k\qquad \qquad \leftarrow vertical\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=0\\ k=0 \end{cases}\implies y=a(x-0)^2+0 \\\\\\ \textit{we also know that } \begin{cases} x=-2\\ y=3 \end{cases}\implies 3=a(-2-0)^2+0\implies 3=4a \\\\\\ \cfrac{3}{4}=a~\hspace{10em}y=\cfrac{3}{4}(x-0)^2+0\implies \boxed{y=\cfrac{3}{4}x^2}

8 0
3 years ago
A pharmaticeutical company is making a new medicine capsule shaped like a cylinder with a half sphere at each end. The
DerKrebs [107]

Answer:

339.12 cubic millimeters

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The volume of the figure is equal to the volume of the two hemispheres (one sphere) plus the volume of the cylinder

so

step 1

Find the volume of the cylinder

The volume is given by

V=Bh

where

B is the area of the base of cylinder

h is the height of cylinder

we have

B=\pi r^{2}

we have

h=8\ mm

r=6/2=3\ mm ----> the radius is half the diameter

B=(3.14)(3)^{2}

B=28.26\ mm^2

substitute

V=(28.26)(8)=226.08\ mm^3

step 2

Find the volume of the sphere

The volume is given by

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substitute

V=\frac{4}{3}(3.14)(3)^{3}=113.04\ mm^3

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6 0
3 years ago
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IrinaVladis [17]

Answer:

Step-by-step explanation:

Solution

Start with the product

The product is 7*x where x is a number but not specified.

Now add 6

Answer: 7x + 6      

This cannot be simplified any more than what it is now.

8 0
2 years ago
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