In one classroom homework is worth 25% of the final grade, each of the three projects is worth 10%, and the final exam is worth 45%. If student has an 87 on a homework average and a 94 on the first project, what is the students grade at this point if that same student from part a gets a 71 on the second project and a 78 on the third project what is the lowest grade the student can get on the final exam to get an 80 over on the course

To solve a system of equation using elimination:

1. If it is necesary multyiply one of both equations for a number that makes each equation have an opposite term to the other equation.

In this case the equations already have opposite terms (2x and -2x)

2. Add equations:

3. Solve the variable in the result of substraction:

4. Use the value of the variable you get in the previus step to solve the other variable:

The given expression (−2)3 x 30 x (−4)(−20) will have the value as -14400

In the above question, the following mathematical expression is given :

(−2)3 x 30 x (−4)(−20)

We need to find the value of the given expression by solving it using the BODMAS rule

According to the rule, first we'll solve the multiplication then subtraction

Therefore, we get

(−2)3 x 30 x (−4)(−20)

(-6) x 30 x (-)(-)80

We know, that (-) x (-) = +

and (-) x (+) = (-)

Therefore, we get

(-6) x 30 x (-)(-)80

(-6) x 30 x 80

-6 x 2400

- 14400

Hence, the given expression (−2)3 x 30 x (−4)(−20) will have the value as -14400

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When you order a number, you must check the number most in the left. The number L and the number M for example,

L. 779.56

M. 029.7023

In the hundreds place, L has a '7', and M has a '0', this means L is bigger than M.

Doing the same procedure with the other, we get the following order:

Answer:38

Step-by-step explanation:

Answer:

5z² + 35z - 90 = 0

5(z² + 7z - 18) = 0

z² + 7z - 18 = 0

(z - 2)(z + 9) = 0

r=−9, s=2

STEPS USING THE DIRECT FACTORING METHOD

5z²+35z−90

This quadratic equation can be resolved using a revolutionary direct factoring technique that does not rely on guesswork. The equation must have the form x2+Bx+C=0 to be solved using the direct factoring approach. To do this, multiply both sides of the equation by 5.

x²+7x−18=0

Let r and s be the factors for the quadratic equation such that x²+Bx+C=(x−r)(x−s) where the sum of factors (r+s)=−B and the product of factors rs=C

r+s=−7

rs=−18

When the average of the two integers is 1/2*-7=-7 /2, the sum of the two numbers r and s are exactly 7. You can also observe that the parabola symbolized by the quadratic equation y=x2+Bx+C has its axis of symmetry in the middle of r and s. An unknown quantity u separates the values of r and s from the center at an equal distance. Describe r and s about the variable u.

r=−7​/2−u

s=−7​/2+u

Put these in the product equation rs=-18 to solve for the unknown quantity u.

(−27​−u)(−27​+u)=−18

Simplify by expanding (a−b)(a+b)=a2–b2

49​/4−u²=−18

Simplify the expression by subtracting 49/4 on both sides

−u2=−18−49​/4=−121​/4

To find the value of the unknowable variable u, simplify the expression by multiplying by 1 on both sides and taking the square root.

u2=121/4

u=±√121/4=±11/2

The factors r and s are the solutions to the quadratic equation. Substitute the value of u to compute the r and s.

r=−7/2−11​/2=−9

s=−7​/2+11​/2=2

Therefore, r=−9, s=2

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Answer:

(0,8)

Step-by-step explanation:

What is needed in order to be a function?

A value of x cannot have more than one value of y. In this question, we have that for x = 0, there are 2 values of y: -2 and 8. So one of those can be removed.

Among the options, we have: (0,8), which is the correct answer

area of the rectangle

area of rectangle is 150 sq ft, therefore the probability that a seed lands in the garden is

answer: 4/5

Answer

Volume of the prism = 960 cubic units

Explanaion:

Step 1: Divide the two prism

Volume of a rectangular prism is

l x w x h

Where l = length, w= width, and h = height

The volume = full prism - cut prism

Full prism = 16 * 10 * 8

Full prism = 1280 cubic units

Cut prism = 8 * 10 * 4

Cut prism = 320 cubic units

Volume = 1280 - 320

Volume = 960 cubic units

The statement that is true about the triangle is that D. The triangles are similar by the SSS similarity theorem.

It should be noted that congruence simply refers to a scenario where there are the same triangles.

The SSS Similarity Theorem states that two triangles are similar if all three pairs of matching sides are proportionate.

Compare the shortest sides first, followed by the longest sides, when applying the SSS Similarity Theorem. Two triangles are similar if their corresponding side lengths are proportionate to one another.

Therefore, triangle LMN and PQR are the same.

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The triangles are not similar, but they are congruent.

The triangles are neither similar nor congruent.

The triangles are similar by the SAS similarity theorem.

The triangles are similar by the SSS similarity theorem.

Answer:

d) The triangles are similar by the SSS similarity theorem.

The equation in slope-intercept form that represents the situation is y = 5x + 25.

In 3 weeks Ellie she saved $40 and $60 in 7 weeks.

Let x and y represent the number of weeks and the total amount saved respectively.

The equation of a line in slope intercept form is given as:

y = mx + b where m is the slope and b is the y-intercept.

Now when x = 3, y = $40.

Therefore,

y = mx + b

40 = 3m + b                                                                                 --------------(1)

When x = 7, y = $60

y = mx + b

60 = 7m + b                                                                                 -------------(2)

Subtracting (1) from (2),

7m + b - 3m - b = 60 - 40

4m = 20

m = 5

So,

3m + b = 40

3(5) + b = 40

15 + b = 40

b = 25

Hence, the equation of the line in slope intercept form is y = 5x + 25.

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The result obtained from measuring length is called a linear measurement and is stated in linear units.

The linear measurement is the distance between the two objects or points. The linear measurement is a single dimension measurement

The unit of the measurement of the length is called linear units. In US system of measurements the linear units are feet, yard and inch etc..,In metric system the linear units are meter, centimeter, decimeter etc..

Therefore the result obtained from measuring length is called a linear measurement and is stated in linear units.

Hence, the result obtained from measuring length is called a linear measurement and is stated in linear units.

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Answer:

1/4

Step-by-step explanation:

I'm 95% sure that this is the answer. if im not correct, im sorry for wasting your time having to read all of this, and im sorry i couldnt help.

To simplify 3y-5y+10y-4y​, just add and subtract the coefficients of each term. That is, 3 - 5 + 10 - 4 = 4, which means that the final expression is 4y.

Answer: 577

Step-by-step explanation:

Answer:

577.0      

Rounded to the nearest 0.1 or

the Tenths Place.

Step-by-step explanation:

576.984

You rounded to the nearest tenths place. The 9 in the tenths place rounds up to 10 because the digit to the right in the hundredths place is 8.

Because the tenths place was rounded up from 9 to 10, the tenths place becomes 0 and the ones place is increased by 1. When a 9 is rounded up to 10, that place value becomes 0 and we add 1 to the previous place value.

577.0

When the digit to the right is 5 or greater we round away from 0.

576.984 was rounded up and away from zero to 577.0

Answer:

hey bro listen

Step-by-step explanation:

you can't always

get the answers

here try to

do yourself and

see your potential.

ANSWERS

• P(2) = 11

• P(-1) = 14

• P(0) = 7

EXPLANATION

Every time we have to evaluate a function, what we have to do is replace the variable with the value and solve the operations.

Let's solve P(2),

Solve the powers first,

Then the products,

And then the additions/subtractions,

The process is the same for the other two values,

And,

Hence, P(2) = 11, P(-1) = 14 and P(0) = 7.

Answer:

The ratio of flour to butter is 3:2

Step-by-step explanation:

:]

The least common denominator of 8/( x²+11x+28 ) and -2/ (x^2+4x) is (x+4).

We have to find the least common denominator of 8/x²+11x+28 and -2/x^2+4x. We can solve this problem by following a few steps.

The denominator of both terms is, x²+11x+28 and x²+4x.

First of all, we have to find the factors of these two terms.

Let's find the factors of x²+11x+28.

x²+11x+28 = x²+11x+28

Or, x²+11x+28 = x²+ 4x+ 7x+ 28        [ we have to break the middle term in such a way as the product of consecutive terms must be 28 ]

Or, x²+11x+28 = x (x+4) +7 (x-4)        [ we have to take ( x+ 4) as acommon ]    

Or, x²+11x+28 = ( x+4 )( x+7 ).................(1)

Now find the factors of x²+4x.

x²+4x = x (x+4)..................(2)          [ We have to take x as a common ]

Therefore, the common term between (1) and (2) is ( x+4 ). So, the least common denominator is ( x+4 ).

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Answer:x=3

Step-by-step explanation: if they are similar lets say for instance BD is congruent to QS.

so TP is congruent to AE and AE is three so TP has to be three.

hope this helps!

Take into account that the range are all availables values of the function, that is, available values of the y coordinate in the graph.

As you can notice, such values are in the following interval:

range: (-∞,8]

The value of x should be equal to 23

Given

Angle at the top is 86

also equation 3x + 17

The lines are parallel

We know if a transverse line is drawn across two parallel lines then 3 types of angles would form namely Corresponding angle, alternate angle, Opposite angle.

From the geometry  the angle 86 and the equations 3x + 17 are alternative angles.

Since alternative angles are equal 86 will be equal to 3x + 17

Now equating both

86 = 3x + 17

86 - 17 = 3x

69 = 3x

x = 23

Hence the value of x is equal to 23

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Answer: x=23

Step-by-step explanation:

Im not going to bore you with long algebra but basically 86-17=3x

69=3x inverse you get 23

Answer:

0.72

Step-by-step explanation:

The answer is that because all you have to do is just 2.16 divided by 3. Equalling to 0.72. Now we just have to do 0.72 + 0.72 + 0.72 and that would equal $2.16.

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For a, b, and c to be the lengths of a triangle they must satisfy the following system of inequalities:

Now, notice that:

Since the given numbers do not satisfy the last inequality, then they cannot be the lengths of a triangle.

Answer: No it is not possible to construct a triangle with lengths 7, 54 and 45, because:

We can further simplify

The answers for the blank spaces are

Answer:

The cost of a card is 4 dollars

The cost of a baseball is 18 dollars

Step-by-step explanation:

13c + 9b = 214

 3c + 8b = 156

(13c + 9b = 214) × -8

( 3c + 8b = 156) × 9

-104c - 72b = -1712

  27c + 72b = 1404

-------------------------------

-77c = -308

÷-77      ÷-77

--------------------

c = 4

3c + 8b = 156

3(4) + 8b = 156

12 + 8b = 156

-12             -12

----------------------

8b = 144

÷8     ÷8

------------------

b = 18

I hope this helps!

The given expression is : _( 4t + _ ) = 6t + 15

In the 6t + 15,

To be able to compare the weight of the boxes, we need to have their weight in decimal form:

Box A --> 212.04 kilograms

Box B --> 212 1/4 kilograms

Convert 212 1/4 to decimal:

Box B --> 212.25

We can see that the weight of box B is more than the weight of box A, so we discard options A and C.

To find how much more is the weight of box B, we subtract the quantities:

Answer: Box B weighs 0.21 of a kilogram more than box A

Lewis uses cubes to represent each term of a pattern based on a recursive function. the recursive function defined is f(n+1)=f(n)+4, where n is an integer and n≥2. the number of cubes used in each of the first two figures is shown below. how many cubes does Lewis need in the third, fourth, and fifth figures of the pattern? fill in the blanks.



figure 1: 9 cubes

figure 2: 13 cubes

figure 3: (blank)

figure 4: (blank)

figure 5: (blank)​

Let

f(0)=5

so

For n=0

f(1)=5+4=9

f(1)=9

For n=1

f(2)=9+4=13

f(2)=13

For n=2

f(3)=13+4=17

For n=3

f(4)=17+4=21

For n=4

f(5)=21+4=25

For n=5

f(6)=25+4=29

therefore

theanswer is

Area = 40 cm^2

base = ?

height = x

Area = base * height / 2

bh = 2(40.5)

bh = 81 cm^2

81 3

27 3

9 3

3 3 height = 3 x3 x 3 base = 3

1

The height must be 27 cm and the base 3 cm.