Solve the simultaneous equations
X + y = 8
3x - y = 12
X =
y =​

Answer:

the mean weight is 22 tonnes

Step-by-step explanation:

mean=total sum/number of numbers you added

in this case the question already gave you the total so just divide right away

mean weight= 330/15 = 22 tonnes

Answer:

1 pound of bananas is 0.89

Step-by-step explanation:

Money over quantity 4.45/5

that means you divide so heres the layout

4.45/5 = x/1 so that is

5x=4.45 divide 5 so that gives us our variable 5÷5 that cancels out five 4.45 divide by 5 is 0.89

so for every pound of bananas is 0.89

And you would use Unite Rate as your strategy

Answer:

for 1 pound of banana...it is 0.89

Step-by-step explanation:

for 5 pound=4.45

for 1 pound =?(x)

5x=4.45×1

x=4.45/5

x=0.89

Answer:

The shadow is 3 ft tall

Step-by-step explanation:

The older giraffe is 16 ft tall and 8 is half of 16 and 8ft is the length of the shadow so that means that half of the small girafe would be 3ft because half of 6 is 3.

Sorry if its not correct

Answer:

49/11 I think I'm not sure

Answer:

ACD

Step-by-step explanation:

Answer:

$4

Step-by-step explanation:

40/10 = 4

Answer:

1/3

Step-by-step explanation:

17/15-4/5

17/15-4*3/5*3

17/15-12/15

17-12/15

5/15

1/3

The equivalent value of the fraction is A = 1/3

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first fraction be p

Let the second fraction be q

Now , A = p - q

when the value of p = 17/15

And , when the value of q = 4/5

On simplifying the equation , we get

A = 17/15 - 4/5

So , the left hand side of the equation is equated to the right hand side by the value of ( 17/15 - 4/5 )

A = ( 17/15 - 4/5 )

Taking the LCM of the denominators of the fraction , we get

A = ( 17 - 12 ) / 15

On simplifying , we get

A = 5/15

A = 1/3

Therefore , the value of A = 1/3

Hence , the fraction is A = 1/3

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Answer:

The 95% confidence interval for the population mean is between $140.89 and $159.11.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{36}{\sqrt{150}} = 9.11[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 150 - 9.11 = $140.89

The upper end of the interval is the sample mean added to M. So it is 150 + 9.11 = $159.11

The 95% confidence interval for the population mean is between $140.89 and $159.11.

Answer:

Pie charts can generally be used instead of bar graphs

Step-by-step explanation:

A pie chart can be used instead of a bar chart. A pie chart is an alternative to the bar chart. Both of these can be regarded as data visualization tools. The pie chart shoes us generally how several parts makes up a whole. While the bar chart uses rectangular bars to show us the proportion of each of the categories of data

The statement which is true among the given group of options is; Pie charts can generally be used instead of bar charts.

Pie charts can be used as substitutes for bar charts. This stemmed from.the fact that both tools are data visualization tools.

On this note, pie charts can be used to replace the bar charts even though pie charts entails dividing the 360° angle in a circle in respective ratios.

Read more on data visualization tools;

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Answer:

115°

Step-by-step explanation:

its in the middle of 60° and 70°

Answer:

Part A = A

Part B = C

Step-by-step explanation:

Answer:

can you try and help me with this please? https://brainly.com/question/22223449

Step-by-step explanation:

The order of operations is PEMDAS -

Parenthesis

Exponents

Multiply

Divide

Add

Subtract

So, the first thing would be to solve any parenthesis.

Secondly, you would evaluate the exponent.

From what I can tell, your expression is

(6^2 + 10) / (-5 x 3) - 5

?

Answer:

Gallons of punch used = 4.94 gallons

Step-by-step explanation:

Given that:

Liters of punch purchased = 25 liters

Liters of punch left over = 6 liters

Liters of punch used = 25 - 6 = 19 liters

According to the given statement;

1 liter = 0.26 gallons

19 liters = 0.26*19 gallons

19 liters = 4.94 gallons

Hence,

Gallons of punch used = 4.94 gallons

A point has no length or thickness.

ALL OF THE ABOVE

Answer:  

y= 8(5 * 0.7) ^ 5

Step-by-step explanation:

Answer:

672

Step-by-step explanation:

(1/2×16×12)×2 + (10×12) + (10×16) + (20×10)

The total surface area of the figure is S = 672 cm²

The surface area of the prism is calculated as

The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism

Surface Area of the prism = 2B + ph

The area of the triangular prism is A = ph + ( 1/2 ) bh

Given data ,

Let the area of the 2 triangles be T

Let the area of the 2 rectangles be R

Let the area of the third side be U

Now , the total surface area of the prism = T + R + U

where T = 2 x ( 1/2 ) ( 16 x 12 )

T = 192 cm²

R = ( 16 x 10 ) + ( 12 x 10 )

R = 280 cm²

And , U = 20 x 10

U = 200 cm²

Therefore , the total surface area of prism S = 192 cm² + 280 cm² + 200 cm²

S = 672 cm²

Hence , the surface area of prism is S = 672 cm²

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Answer:

?

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

0

Answer: No he is not correct the answer is 6 3/8

Step-by-step explanation: so what you have to do is add the 2 numbers you it should look like this(2 3/4+ 3 5/8) then you want to add the 2 and the 3 and add the 3/4 and 5/8 it should look like this (5+11/8) then you want to converse the number to a mixed number it should look like this (5+1+3/8) then you should add the

Answer:

No. Total distance = 6 3/8.

Step-by-step explanation:

[tex]2\frac{3}{4}+3\frac{5}{8}=\frac{11}{4}+\frac{29}{8}\\\\[/tex]

            [tex]=\frac{11*2}{4*2}+\frac{29}{8}\\\\=\frac{22}{8}+\frac{29}{8}\\\\=\frac{22+29}{8}\\\\=\frac{51}{8}\\\\=6\frac{3}{8}[/tex]

Answer:

The area of the yard is 4.34.

Step-by-step explanation:

a = l x w

a = 3.1 x 1.4

a = 4.34

You need to find the WPM (words per minute) of each person.

Andre - 208 divided by 4 = 52

Noah - 342 divided by 6 = 57

You now know that Andre types 52 words per minute and Noah types 57 words per minute.

Answer: Noah types faster because he types 57 words per minute while Andre types 52 words per minute.

Answer:Noah types faster.

Step-by-step explanation: For Andre ,You do 208 divide 4 which gives you 52.For Noah, you do 342 divide by 6 which gives you 57.And since Noah  type more words which is 57  while Andre type 52, that means Noah types faster.

Hope it helps.

Answer:

True

Step-by-step explanation:

Suppose a system contains a large number of variables than equations, then there is a need to make assumptions of some values for the extra variables in order to solve the system. So, the assigning of these values can be done in several ways. Thus, the system cannot contain a unique solution.

Also, for a system of the linear equation:

[tex]AX = B[/tex]  can have a unique solution if:

Augmented matrix(rank) = coefficient matrix(rank) = no. of variables.

Provided that there exist fewer equations and more variables,

Then;

coefficient matrix(rank) <  no. of variables

Thus, the system cannot contain a unique solution.

Answer:

A. 0 and 4

Step-by-step explanation:

The x-intercepts are simply the values of x when y = 0. In other words it is the points where the line curve intercepts or cuts across the x-axis.

Form the graph given, we can see that at x = 0 and x = 4, the value of y = 0. Simply put, the curve cuts the x-axis at x = 0 and x = 4.

x-intercepts are 0 and 4.

Answer:

=1

Step-by-step explanation:

multiply the numerator and denominator by common integer  

Answer:

c. 3/5

Step-by-step explanation:

With reference angle A

perpendicular (p) = 3

hypotenuse (h) = 5

Now

Sin A =

[tex] \frac{p}{h} \\ = \frac{3}{5} [/tex]

Hope it will help :)

Answer:

The answer is 5/4

Step-by-step explanation:

Answer:

The y-intercept for this equation is 22.

Step-by-step explanation:

You can solve this quite easily by assigning a zero value to x and solving for y.  That is where the curve will intersect the x-axis:

y = 2(x - 3)² + 4

y = 2(x² - 6x + 9) + 4

y = 2x² - 12x + 18 + 4

y = 2x² - 12x + 22

EDIT

Note that the expression above is in standard form, though it can also be factored if needed:

y = 2(x² - 6x + 11)

Now we can solve for an x value of zero:

y = 2(0)² - 12(0) + 22

y = 22

So the y-intercept is 22.

Answer: Solution

=

−

2

4

Step-by-step explanation: Combine multiplied terms into a single fraction

1

4

+

2

=

−

4

1

4

+

2

=

−

4

Multiply by 1

1

4

+

2

=

−

4

4

+

2

=

−

4

Subtract  

2

2

2

from both sides of the equation

Answer:

= 56.7 miles per hour

Step-by-step explanation:

Step-by-step explanation:

To find the average speed for the entire journey, we need to find the entire distance   and the  total time

Entire distance = 210 miles + 130 miles = 340 miles

Total time = 3.5 hours and 2.5 hours = 6 hours

Average speed = distance/ time = 340 miles/ 6 hours

                           = 56.66666666666 miles per hour

Rounding to the nearest tenth

                             = 56.7 miles per hour

Answer:

60 miles

Step-by-step explanation:

210=3.5

x =1

3.5×x= 210×1

3.5x=210

3.5x/3.5=210/3.5

x=60

Answer= 60 miles