A private school admits no more than 100 students every year. Additionally at least 30 of these students must be girls, x, and the school admits at least as many girls as boys, y.

Answer:

5 bags of brand x and 6 bags of brand y.

Step-by-step explanation:

Nutrient requirement for the garden:

39 pounds of nutrient a and

16 pounds of nutrient b

Component of each bag of brand x:

3 pounds of nutrient a and 2 pounds of nutrient b

Therefore, 5 bags of brand x will contain 15 pounds of nutrient a and 10 pounds of nutrient b

Component of each bag of brand y:

4 pounds of nutrient a and 1 pound of nutrient b

Therefore, 6 bags of brand y will contain 24 pounds of nutrient a and 6 pounds of nutrient b

Altogether, she should buy 5 bags of brand x and 6 bags of brand y to meet the nutrient requirement of the garden

Answer:

a) C= 275+1.5n b)151 tickets

Step-by-step explanation:

b) 500= 275 +1.5n

500-275=1.5n

225=1.5n

150=n

if n equals 151 Band A would be cheaper because

C=275+1.5n

C= 501.5

500<501.5

Answer:

10cm

Step-by-step explanation:

Since the area of the rectangle is 5times the area of the triangle, let us first of all find the area of the triangle.

From the question, we obtained the following information:

h = 8cm

b =6cm

Area of triangle = 1/2 x b x h

Area of triangle = 1/2 x 6 x 8

Area of triangle = 24cm^2

But,

Are of the rectangle = 5times the area of triangle i.e

Area of rectangle = 5 x 24 = 120cm^2

Area of rectangle = L x w

L = 12cm

Area of rectangle = 120cm^2

W =?

120 = 12 x w

Divide both side by 12

W = 120 /12 = 10cm

The function f(x) = 5 - 1.5x can be graphed by calculating the y values for a set of x-values, plotting these points, and drawing a straight line that connects them, as it is a linear function with a slope of -1.5.

To graph the function f(x) = 5 - 1.5x, we can start by finding values for x and calculating the corresponding y-values. For instance, when x = 0, f(x) = 5 - 1.5*0 = 5. When x = 1, f(x) = 5-1.5*1 = 3.5. So, we can plot these points (0,5) and (1,3.5) respectively.

Next, because this is a linear function (it has the form y = mx + b), these points should form a straight line. Simply draw a line that passes through these points. Further, this function has a negative slope of -1.5 which means the line should be falling as it moves from left to right.

The x-axis and the y-axis must be labelled distinctly and the scale should be defined according to the maximum and minimum values of x and y observed.

Note: Without any restrictions on the domain mentioned, we assume that x is a real number and therefore, the graph stretches infinitely in both directions.

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Step-by-step explanation:

In x- intercept: -250

In y- intetcept: 100

Answer:

238cm³

Step-by-step explanation:

Final answer:

To calculate the volume, multiply the given area of the base (34 cm²) by the given height (7 cm) to obtain a volume of 238 cm³.

Explanation:

The question pertains to finding the volume of a three-dimensional object. Given the area of the base of the object is 34 cm² and the height is 7 cm, the volume V can be calculated using the formula V = area of base × height.

To solve, we simply multiply the area of the base by the height:
V = 34 cm² × 7 cm = 238 cm³.

The volume of the object is therefore 238 cm³.

Answer:

one student = 0.25

3.75 ÷ 0.25 = 15

15 students were tested by the teacher.

Step-by-step explanation:

Answer:

192

Step-by-step explanation:

look for the app photomath shows u the steps

Final answer:

The question seems to be asking for two decimals that equal 5.5 when added together, which can have many solutions such as 2.75 and 2.75. In the context of significant figures and rounding, rules differ based on whether the significant figure is odd or even when followed by a 5.

Explanation:

The question seems to be asking for two decimals that add up to 5.5. There are an infinite number of decimal pairs that can do this, for example, 2.75 and 2.75, or 3.00 and 2.50. However, without additional constraints, it's not possible to determine a unique pair of decimals.

Significant figures and rounding

When dealing with significant figures and rounding, the specific rules you mentioned come into play. According to the rules provided, we round differently based on whether the last significant digit is odd or even when the next digit is 5. For example, if we have 2.525 and we need to round to three significant figures, we round to 2.52 because the last significant figure, 2, is even. On the other hand, if we have 2.535, we would round to 2.54 because the last significant figure, 3, is odd and the next digit is 5.

Rounding in Complex Calculations

It's important to round off numbers at the end of calculations to ensure accuracy. For instance, 2.6525272 rounded to three decimal places, considering rounding rules, would be 2.653.

Answer:

1. p=1.3333

2. k=1

3. n=4

4. x=6.6666

5. m=17.5

6. r=8.75

Answer:

3 x-intercepts

Step-by-step explanation:

f(x) = x⁴ - 5x²

There will be 4 x-intercepts on the graph of this polynomial function

Given the polynomial equation expressed as:

According to the polynomial given, we can see the highest degree of the polynomial is 4. Hence there will be 4 x-intercepts on the graph of this polynomial function

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Answer:

6 hours.

Step-by-step explanation:

5/6 / 5 is 1/6. 6 divided by 1 out of 6 is 6. so 6 hours

6 hours

If it takes 5 hours to paint 5/6 of a truck that means that that 1 hour is 1/6

Answer:

Lee sold 60 magazines

Step-by-step explanation:

1st week:

Lee sold = x magazines

Terrence sold [tex]=x+0.3x=1.3x[/tex] magazines (30% more)

2nd week:

Lee sold = 0 magazines

Terrence sold = 12 magazines

Total:

Lee sold = x + 0 = x magazines

Terrence sold = 1.3x + 12 magazines

If Terrance sold 50% more than Lee by the end of the second week, then

x - 100%

1.3x + 12 - 150% (50% more), then

[tex]\dfrac{x}{1.3x+12}=\dfrac{100}{150}\\ \\150x=100(1.3x+12)\\ \\150x=130x+1,200\\ \\150x-130x=1,200\\ \\20x=1,200\\ \\x=60[/tex]

Hence, Lee sold 60 magazines

The area of the composite polygon is:

[tex]\boxed{A_{T}=376 \ m^2}[/tex]

Hello! remember you have to write complete questions in order to get good and exact answers. Here you haven't provided any figure, so I'll choose the figure below in order to illustrate this problem. A composite polygon is a polygon that can be divided into two or more basic shapes. So here we have a composite polygon formed by a triangle and a rectangle. So:

[tex]A_{total}=A_{T} \\ \\ A_{triangle}=A_{tr} \\ \\ A_{rectangulo}=A_{r} \\ \\ \\ A_{tr}=\frac{b\times h}{2} \\ \\ b:Base \ of \ the \ triangle \\ \\ h:height \ of \ the \ triangle \\ \\ \\ A_{r}=B\times H \\ \\ B:base \ of \ the \ rectangle \\ \\ H:height \ of \ the \ rectangle[/tex]

So the area of the composite figure is:

[tex]A_{T}=\frac{16\times 11}{2} + 16\times 18 \\ \\ A_{T}=88+288 \\ \\ \boxed{A_{T}=376 \ m^2}[/tex]

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Answer:

a = -2.3

Step-by-step explanation:

a + 0.3 = -2

Subtract 0.3 from both sides

We have,

a + 0.3 -0.3 = -2 - 0.3

a = -2.3

Answer:

I got the answer -2

Step-by-step explanation:

Replace x in the equation with 1 and solve.

F(x) = 2x

X = 1

F(1) = 2(1) = 2

The answer is 2

Answer:

•{(-2,6), (-1,3), (0,0), (1, -3), (2,-6)}

Step-by-step explanation:

Answer:

x<-2

Step-by-step explanation:

3x-5>4x-3

-5>x-3

-2>x or x<-2

We have been given that Carla plans to invest $9,000 for 10 years. Better Bank offers a 10 year CD at an annual rate of 4% using simple interest. We are asked to find the amount after 10 years.

We will use simple interest formula to solve our given problem.    

[tex]A=P(1+rt)[/tex], where

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

[tex]4\%=\frac{4}{100}=0.04[/tex]

[tex]A=\$9000(1+0.04\times 10)[/tex]

[tex]A=\$9000(1+0.4)[/tex]

[tex]A=\$9000(1.4)[/tex]

[tex]A=\$12600[/tex]

Therefore, the investment will be worth $12600 in 10 years. and option C is the correct choice.

Answer:

10x + 3 = 6x + 5

Based on this, we have the lines y=10x+3 and y=6x+5. Both of the equations are linear, so they are straight lines when graphed. A system of straight lines can only have one solution maximum.

Solution:

x = 1/2

y = 8

(1/2 , 8)

Step-by-step explanation:

Start by expanding with the distributive property, then simplify by collecting like terms.

5(2x + 1) - 2 = 6x + 5     Multiply "5" with each term in the brackets.

10x + 5 - 2 = 6x + 5       Collect left side's like terms (5 - 2 = 3)

10x + 3 = 6x + 5

Based on this, we have the lines y=10x+3 and y=6x+5. A solution is the same as the POI (point of intersection). Both of the equations are linear, so they are straight lines when graphed. A system of straight lines can only have one solution maximum.

Some linear systems might have no solutions (when the lines are parallel) or infinite solutions (when the lines are equivalent, the same).

To find the solution, continue with the equation and isolate "x". This will give you the x-coordinate of the point of intersection.

To isolate 'x', move everything to the other side of 'x'. To move something, you do its reverse operation to both sides in reverse BEDMAS order.

10x + 3 = 6x + 5

10x - 6x + 3 = 6x - 6x + 5     Subtract 6x from both sides

4x + 3 = 5     "6x" cancelled out on the right. Simplified left (10x-6x=4x)

4x + 3 - 3 = 5 - 3      Subtract 3 on both sides. "3" on the left will cancel out

4x = 2      The right side was simplified (5 - 3 = 2).

4x/4 = 2/4      Divide both sides by 4 to isolate 'x'. Simplify right side.

x = 1/2          Solution's x-coordinate

Substitute what you found for 'x' into any equation that has 'y' (either y=10x+3 or y=6x+5). I will choose the first equation.

y = 10x + 3      

y = 10(1/2) + 3        Multiply 1/2 and 10

y = 5 + 3       Add

y = 8          Solution's y-coordinate

Therefore the solution is when x=1/2 and y=8, or as an ordered pair, (1/2 , 8).

Answer:

i think its Gas attacks allowed Germany to win major battles and defeat France before the United States

joined the war.

Step-by-step explanation:

Final answer:

Gas attacks during World War I contributed to the horrors and difficulties of trench warfare and had severe psychological impacts on soldiers, but they did not lead to major strategic victories or civilian efforts to end the war.

Explanation:

Gas attacks during World War I profoundly changed the nature of warfare, particularly during the era of trench warfare. These gas attacks made the act of fighting in trenches extremely challenging and induced significant psychological suffering among the troops. The use of poison gas was viewed as a horrific method of warfare by soldiers, burning the lungs, eyes, and skin, and leaving those who survived in a state of dread, with many considering the victims of gas attacks the unlucky ones. It did not lead to a significant shift in the outcome of battles, which remained largely stalemated with enormous casualties but minimal territorial gains.

Despite these devastating effects, gas attacks did not lead to military victories that decisively changed the war - at least not in favor of Germany before the United States entered the war, nor did these attacks result in the mass deaths of civilians or lead people to demand an immediate end to the war. The international tensions and problems that initiated the war were not resolved but were instead exacerbated by the new methods of modern combat. Gas attacks did terrify troops, but they did not lead them to demand a truce between the Allied Powers and the Central Powers.

In summary, the most apt answer to how gas attacks affected warfare during World War I would be that they made fighting in trenches difficult and had significant psychological effects upon troops, as discussed in option B.

Answer:

it would be described as a collinear point as it is on the same line! hope this helps!

The term describing the relationship U has with R and N, assuming they lie on the same line, is called 'collinear'. In this scenario, points U, R, and N all lie on the same straight line.

If point U lies on the same line as points R and N in geometry, it means that these points are collinear. The term 'Collinear' refers to points that lie on the same straight line. For example, if we consider the line as a straight road, then points U, R, and N can be visualized as three different spots on this road, which are along the same path.

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The y-intercept of the line perpendicular to y = -3/4x + 5, passing through the point (-3, -3), is 1. This is found by first determining the slope to be 4/3, and then using the point-slope form equation to solve for the y-intercept when x is zero.

To find the y-intercept of the line perpendicular to the line y = -3/4x + 5 that passes through the point (-3, –3), we must first determine the slope of the perpendicular line. Since perpendicular lines have slopes that are negative reciprocals of each other, the slope of the perpendicular line would be 4/3 (since the negative reciprocal of -3/4 is 4/3).

Next, we can use the point-slope form of the equation of a line to find the equation of the perpendicular line. The point-slope formula is y – y1 = m(x – x1), where (x1, y1) is a point on the line and m is the slope of the line. Substituting the given point and the slope into the formula, we get y – (–3) = 4/3(x – (–3)), which simplifies to y + 3 = 4/3(x + 3).

To find the y-intercept, set x to 0 and solve for y. Doing so, we obtain y + 3 = 4/3(0 + 3), or y + 3 = 4. Subtracting 3 from both sides, we find the y-intercept to be y = 1.

Answer:

386

Step-by-step explanation:

If you subtract the initial fee of 12 from 70 you get 68 you just divide that by .15 meaning you can plant no more that 386 trees.

Answer: 5 Trees

Step-by-step explanation:

12 x 5 = 60

.15 x 5 = . 75

If you go to six, you would get 72.9.

Question:

Heather bought a large bag of bird seed and used 24% of the bag. How many pounds were originally in the bag if there are 15.2 pounds left?

Answer:

There were 20 pounds of seed in bag originally

Solution:

Given that,

Heather used 24 % of bag

There are 15.2 pounds left

To find: Pounds of seed in bag originally

Let "x" be the pounds of seed in bag originally

From given,

100 % - 24 % = 76 %

Thus 76 % of bag is unused

Also, given that there are 15.2 pounds left

Therefore, we can say,

76 % of x = 15.2

[tex]76 \% \times x = 15.2\\\\\frac{76}{100} \times x = 15.2\\\\0.76x = 15.2\\\\x = \frac{15.2}{0.76}\\\\x = 20[/tex]

Thus there were 20 pounds of seed in bag originally

Final answer:

The original weight of the seed bag is calculated by setting up a proportion comparing 76% to 15.2 pounds and 100% to the original weight, leading to the solution of 20 pounds.

Explanation:

To determine the original weight of the bag of seed, we need to calculate what 100% would represent if 15.2 pounds is what remains after using 24% of the bag. This means that 76% (100% - 24%) of the seed bag is equal to 15.2 pounds. We can set up a proportion where 76% is to 15.2 pounds, as 100% is to X pounds (where X represents the original weight).

The equation is 76/100 = 15.2/X. To solve for X, we multiply both sides by X and divide both sides by 76 to isolate X on one side of the equation, which gives us X = (15.2 * 100) / 76. After calculating, we find that the original weight (X) of the bag is 20 pounds.

Answer:

15(3+2x)

Step-by-step explanation:

Factor out the 15.