help please will mark brainliest

9514 1404 393

Answer:

  $2400

Step-by-step explanation:

The question is asking the amount invested in fund B. We can let 'b' represent that amount. Then the amount invested in fund A is (6000-b). The total profit from the investments is ...

  0.02(6000 -b) +0.07(b) = 0.04(6000)

  120 +0.05b = 240 . . . . . simplify

  0.05b = 120 . . . . . . . . . subtract 120

  b = 2400 . . . . . . . . . . .divide by 0.05

Alonzo invested $2400 in fund B.

Answer:

x + y + z = 49

2.50x + 7y + 1.50z = 147

y + 7 = z

Step-by-step explanation:

Before you even start setting up the equations, create variables for information needed, but not given in the problem:

Variable x = number of tacos

Variable y = number of burritos

Variable z = number of sodas

The first piece of information we are given is the number of items so make this into an equation:

x + y + z = 49

Next we are told how much everything cost in total so make this into an equation:

2.50x + 7y + 1.50z = 147

Lastly, we are informed Rosa bought 7 more sodas than burritos so form an equation using this information:

y + 7 = z

Answer:

96cm^2

Step-by-step explanation:

[tex]area \: of \: parallelogram \\ = 12cm \times 8cm \\ = 96 {cm}^{2} [/tex]

9514 1404 393

Answer:

  3p +24 +162/(p-6)

Step-by-step explanation:

The result of the division can be found using polynomial long division, or using synthetic division. The latter requires less writing and gives the same answer:

  [tex]\dfrac{3p^2+6p+18}{p-6}=3p+24+\dfrac{162}{p-6}[/tex]

Answer:

x = -7

Step-by-step explanation:

2x+2-x+5=0

x+2+5=0

x+7=0

x = -7

So the answer is -7

Given:

[tex]\to \bold{ (2x+2)-(x+5)=0}[/tex]

To find:

x=?

Solution:

[tex]\to \bold{ (2x+2)-(x+5)=0}\\\\\to \bold{ (2x+2-x-5)=0}\\\\\to \bold{ (x-3)=0}\\\\\to \bold{ x-3=0}\\\\\to \bold{ x=3}\\\\[/tex]

Learn more:

brainly.com/question/75616

Answer:

[tex] log_{2}(x) \times \frac{1}{3} log_{2}(x) \\ \\ = log_{2}x + log_{2}(x) {}^{ \frac{1}{3} } \\ \\ { \boxed{ \boxed{= log_{2} \{x + ({x})^{ \frac{1}{3} } \}}}}[/tex]

Answer: m=3/2

Step-by-step explanation: the slope starts from the left side and the line is going up meaning its positive, now the line is going up by 3s and to the right in 2s.

Answer:

x = 3

Step-by-step explanation:

Step 1: 0 = 3x - 9

Step 2: -3x = -9

Step 3: x = 3

Answer:

1. (3,0)

2. 3 miles

Step-by-step explanation:

1. You can use any online coordinate plane or make one yourself on graph paper) graph each point on the coordinate plane you will see the diagonal line segment that is forming. connect the points on the graph. From that, you can see they are 2 squares away so just count down 2.

2. Again, graph the points on a coordinate plane and you can count each grid box until you count 3 boxes right on the axis and 1 grid= 1 mile 3 grids= 3 miles

Answer:a 5cm

Step-by-step explanation:

9514 1404 393

Answer:

  (i) 55.59 km/h

  (ii) 3600 nautical miles ≈ 6670.8 km

  (iii) 30°N 29.3°E

Step-by-step explanation:

(i) The speed in km/h requires a units conversion.

  (30 kt/h)(1.853 km/kt) = 55.59 km/h

__

(ii) Here, we assume we're interested in the distance traveled. If the course is "due east", we presume that means it follows the 30° latitude line, so is not the shortest route between A and B. That is, the distance from A to B will be different from the distance traveled. (The shortest route from A to B is along a great circle.)

  distance = speed × time

  distance = (30 kt/h)(120 h) = 3600 nautical miles

  = (55.59 km/h)(120 h) = 6670.8 km

__

(iii) The radius of the 30° latitude line is ...

  (6370 km)(cos(30°)) = 3185√3 km ≈ 5516.58 km

The relationship between arc length (s) and central angle (α) is ...

  s = rα

So, the change in the vessel's longitude is ...

  α = (6670.8 km)/(5516.58 km) ≈ 1.20923 radians ≈ 69.28°

Then town B has longitude ...

  40°W -69.3° = -29.3°W = 29.3°E

The position of town B is about 30°N 29.3°E.

_____

Additional comment

The route supposedly taken by this sea vessel is from the middle of the North Atlantic to a town in northern Egypt, through the northern Sahara desert. The eastern end point is shown in the attachment.

Some spherical trigonometry is involved if you want to find the end point of the great-circle route of the same length.

Answer:

1360

Step-by-step explanation:

there are 1200 seconds in 20 minutes. if Ella can do 17 jumps in 15 seconds, you would divide 1200 by 15 (which equals 80) because that would be the number of 15 seconds in 20 minutes. then you would divide 80 by 17, which gives you your final answer of 1360 jumps in 20 minutes.

Answer:

Draw two circles, fill them in, then another circle split into 5 parts, and fill in 4 of the parts

Step-by-step explanation:))))

Answer:

fhfgb

Step-by-step explanation:

ffhfdhdd

Here we want to make a system of equations and solve it for the smallest angle of a triangle.

We will find that the smallest angle is 5.625°

First, let's define the variables:

a₁ = smallest angle

a₂ = middle angle

a₃ = largest angle.

We know that the sum of all interior angles of a triangle is equal to 180°, then we can write:

a₁ + a₂ + a₃ = 180°

We also know that:

"the largest angle of a triangle is the sum of the other two angles"

This can be written as:

a₃ = a₁ + a₂

And we know that:

"The smallest angle is one 16th of the largest angle"

Then:

[tex]a_1 = \frac{a_3}{16}[/tex]

Writing together these 3 equations we get our system:

a₁ + a₂ + a₃ = 180°

a₃ = a₁ + a₂

[tex]a_1 = \frac{a_3}{16}[/tex]

Now we want to solve this for a₁

To do it we need to replace equations into other equations.

How do we do this?

Notice that in the third equation we have:

a₃ = a₁ + a₂

Then we can replace it in the first equation:

a₁ + a₂ + a₃ = 180°

(a₁ + a₂) + a₃ = 180°

a₃ + a₃ = 180°

2a₃ =  180°

a₃ =  180°/2 = 90°

a₃ = 90°

Now we can use the last equation:

[tex]a_1 = \frac{a_3}{16}[/tex]

To get the value of the smallest angle:

[tex]a_1 = \frac{90 \°}{16} = 5.625 \°[/tex]

If you want to learn more, you can read:

https://brainly.com/question/12895249

Answer:

126 cats .................

126 dogs........

Answer:

ITS 80,000,000

The GCF of 10 and 6 is 2. May this will help you.

Answer: 4 terms

Step-by-step explanation:

-4a , 8c, -4b, and 3

Step-by-step explanation:

let the ration be c

3x and 4x

Now

3x +4x=24

Answer:

19

Step-by-step explanation:

- To evaluate this expression, we simply have to substitute the variables for their values.

x²+yz

(-3)² + (5)(2)

9 + 10

= 19

Answer:

2 1/2 in.

Step-by-step explanation:

6 - 3 1/2 this is the answers

9514 1404 393

Answer:

  -$32

Step-by-step explanation:

The value went down by $32.

Expressed as a signed integer, the value in dollars changed by -32.

Answer:

Step-by-step explanation:

Given,

Perimeter of a triangle = 75

One side of the triangle = 5x

Therefore,

By the problem,

5x + 5x + 5x = 75

=> 15x = 75

=> x = 75/15

=> x = 5 (Ans)

9,000

I hope this helps!

The expression that can be used to show how  many dresses she can make from the lace is [tex]\frac{7}{12}[/tex] ÷[tex]\frac{1}{8}[/tex]

In order to determine how many dresses can be made from the lace, divide the yards of the lace by how many yards are needed to make the dress

Number of dresses that can be made = [tex]\frac{7}{12}[/tex] ÷ [tex]\frac{1}{8}[/tex]

Solving this equation, 4 dresses can be made from the lace

7/12 x 8/1 = 4.67 dresses

A similar question was solved here: https://brainly.com/question/9328992

Answer:

Let x=Width

Length = 7x-22 (22m less the 7 times width)

A=L*w

A=(7x_22)x

7805=7x^2-22x

7x^2-22x-7805=0

(7x-223) (7x+223)=0

7x-223=0

7x=223

x=223%7

x=35

Now,

Length =7x-22

=7(35)-22

=223

therefore,length =223

If the area of the rectangle is 7805 square meters, The length of the rectangle will be 223 units

It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral. The area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is given that, A rectangle has a length of 22 meters less than 7 times its width. If the area of the rectangle is 7805 square meters,

Suppose the width of the rectangle is x.

Length = 7x-22 (22m less the 7 times width)

A=L*w

A=(7x_22)x

7805=7x²-22x

7x²-22x-7805=0

(7x-223) (7x+223)=0

7x-223=0

7x=223

x=223/7

x=35

As a result

Length =7x-22

=7(35)-22

=223 units.

Thus, if the area of the rectangle is 7805 square meters, The length of the rectangle will be 223 units

Learn more about the rectangle here:

https://brainly.com/question/15019502

#SPJ2

Answer:

7.9000 × [tex]10^{-4}[/tex]

Step-by-step explanation:

0.0014 - 0.00061 = 0.00079

0.00079 in scientific notation = 7.9000×10^-4

Answer: the slope of perpendicular lines are opposite and reciprocal.

First line slope is 3/2. The slope of the second line is - 2/3

First line slope is 2. The other line slope is -1/2

Step-by-step explanation: