London answered 51 questions correctly on her multiple choice science final and earned a grade of 85%. How many total questions were on the final exam?

Answer:

×7

Step-by-step explanation:

[tex]84 \div 12 = 7[/tex]

The quadratic equation whose roots are -6 and -1 with leading coefficient 1 is [tex]x^{2} +7x+6=0[/tex].

Given that a Quadratic equation whose roots are -6 and -1 with leading coefficient is 1 and asked to find the equation of quadratic equation.

Quadratic equation:

The polynomial equations of degree two in one variable of form f(x) = a[tex]x^{2}[/tex] + bx + c = 0 and with a, b, c, ∈ R and a ≠0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" is for the absolute term of f(x).

For a quadratic equation if (a,b) are roots then,

(x-a)(x-b) is the quadratic equation having roots "a" and "b"

The equation with roots -6 and -1 is
⇒(x+6)(x+1)

⇒[tex]x^{2}[/tex]+7x+6

Threfore,The quadratic equation whose roots are -6 and -1 with leading coefficient 1 is [tex]x^{2} +7x+6=0[/tex].

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Answer i dont get it

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]m[/tex]∠[tex]CAD[/tex]≅[tex]m[/tex]∠[tex]BAD[/tex]

and

[tex]m[/tex]∠[tex]CAB[/tex]=[tex]m[/tex]∠[tex]CAD[/tex]+[tex]m[/tex]∠[tex]BAD[/tex]

so

[tex]m[/tex]∠[tex]CAB[/tex][tex]= 29[/tex]°+[tex]29[/tex]°

[tex]m[/tex]∠[tex]CAB=58[/tex]°


Hope this helps!

Step-by-step explanation:

the graphic shows that the angle at A is split in half by the line AD (because the angles at both sides of the line are marked as equal, so the whole angle must be 2 times of one of these parts).

so, as CAD = 29°, CAB = 2×CAD = 2×29 = 58°

The weekly gross pay will be $2732.80.

Based on the information, the extra hours that was spent will be:

= 48 - 40 = 8 hours

Therefore, the gross pay will be;

= ($17.08 × 40) + (8 × $17.08 × 1.5)

= $683.20 + $2049.6

= $2732.80

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The equivalent expression of  the expression given as: -5 × 1/4 × 3 is -15/4

The expression is given as:

-5 × 1/4 × 3

Multiply -5 and 1/4

So, we have:

-5 × 1/4 × 3 = -5/4 × 3

Multiply -5/4 and 3

So, we have:

-5 × 1/4 × 3 = -15/4

Hence, the equivalent expression of  the expression given as: -5 × 1/4 × 3 is -15/4

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Answer:

oranges €0·2б     apples€0·32

Step-by-step explanation:

Answer:

apple $0.32 , orange $0.26

Step-by-step explanation:

let o and a represent the cost of an orange and apple, respectively , then

12o + 7a = 5.36 → (1)

8o + 5a = 3.68 → (2)

multiplying (1) by 8 and (2) by - 12 and adding will eliminate o

96o + 56a = 42.88 → (3)

- 96o - 60a = - 44.16 → (4)

add (3) and (4) term by term to eliminate o

0 - 4a = - 1.28

- 4a = - 1.28 ( divide both sides by - 4 )

a = 0.32

substitute a = 0.32 into either of the 2 equations and solve for o

substituting into (1)

12o + 7(0.32) = 5.36

12o + 2.24 = 5.36 ( subtract 2.24 from both sides )

12o = 3.12 ( divide both sides by 12 )

o = 0.26

the cost of an apple is $0.32 and the cost of an orange is $0.26

Answer: 48 red beads

Step-by-step explanation:

3 red beads: 1 bracelet

16 bracelets * 3 read beads/1 bracelet=

16*3/1=

16*3=48 red beads

Answer:

Interest = $63

Balance = $2,063

Step-by-step explanation:

Compound Interest Formula

[tex]\boxed{\sf I=P\left(1+\frac{r}{n}\right)^{nt} -P}[/tex]

where:

Given:

Substitute the given values into the formula and solve for I:

[tex]\implies \sf I=9000\left(1+\dfrac{0.014}{2}\right)^{2 \times 0.5}-9000[/tex]

[tex]\implies \sf I=9000\left(1+0.007\right)^{1}-9000[/tex]

[tex]\implies \sf I=9000\left(1.007\right)-9000[/tex]

[tex]\implies \sf I=9063-9000[/tex]

[tex]\implies \sf I=63[/tex]

Therefore, the account earns $63 interest in the first six months.

The balance after six months is $2,063.

Answer:

the answer is

Step-by-step explanation:

So 12 more than N would be 12 + N.

Answer:

b) 12 + n

Step-by-step explanation:

The statement is,

→ 12 more than a number.

Now equation will be,

→ 12 + n

≈ (or) n + 12

So, option (b) is correct.

Answer:

1) [tex]|x-2| = 8[/tex]

2) [tex]|x+7.5|=2.5[/tex]

Step-by-step explanation:

According to the formula speed = distance / time The rate in miles per hour is 4.54

If you know how far something has traveled and how long it took to get there, you can calculate its average speed. Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed.

Rachel jogs 20 feet in 3 seconds

then by the formula

speed = distance/time

speed = 20 feet / 3 seconds

speed = 6.666667 feet per hour

but this speed is in feet per seconds to convert the speed from feet per seconds to miles per hour we need to multiply by 0.681818,

speed = 6.66667*0.681818

speed = 4.5454 miles per hour

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The Sum of the given numbers is 30.80.

SUM:

Rounding off to nearest tenth = 7 + 1 = 30.80

Therefore, the Sum of the given numbers is 30.80.

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Answer:

angle 1 = 51

angle 2 = 39

Step-by-step explanation:

The sum of two angles is equal to 90° since they are complementary angles

angle 1 + angle 2 = 90° rewrite equation using given values

x + 38 + 3x = 90 add like terms

4x + 38 = 90 subtract 38 from both sides

4x = 52 divide both sides by 4

x = 13 now to find the measure of each angle replace x with 13

angle 1 = 51

angle 2 = 39

The value of the variable x in the expression is 9.

The mathematical expression is as follows:

(x+12) + (4x-16) = 6x-13

Therefore, let's open the brackets

(x+12) + (4x-16) = 6x - 13

x + 12 + 4x - 16 = 6x - 13

Combine the like terms

x + 12 + 4x - 16 = 6x - 13

x + 4x + 12 - 16 = 6x - 13

Do the arithmetic of the like terms on both sides

x + 4x + 12 - 16 = 6x - 13

5x - 4 = 6x - 13

Add 4 to both sides

5x - 4 = 6x - 13

5x - 4 + 4 = 6x - 13 + 4

5x = 6x - 9

subtract 6x from both sides

5x = 6x - 9

5x  - 6x = 6x - 6x - 9

-x = -9

divide both sides by -1

Therefore,

x = 9

The value of the variable x in the expression is 9.

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Answer:

y=x+3

Step-by-step explanation:

The Integers which corresponds to the word phrase as given in the task content is; Choice B; The integers less than 28.

It follows from the task content that the word phrase which is as given in the task content is to be determined.

It is noteworthy to understand the meaning of various signs as follows;

Hence, since the word phrase; fewer than 28 people represents integers less than 28.

Ultimately, by virtue of the inequality signs and what they represent, fewer than 28 people represents integers less than 28.

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Answer: U'=(8, 5)

V'=(7, 5)

W'=(6, 10)

Step-by-step explanation:

When rotated around the origin by 180 degrees, the triangle will have all its coordinates' x and y values negated.

U=(-8, -5) ==> U'=(8, 5)

V=(-7, -5) ==> V'=(7, 5)

U=(-6, -10) ==> W'=(6, 10)

the answer is 60020 I am not sure if it is correct

Answer:

Distributive Property

Step-by-step explanation:

Example of distributive property is: 5 (4 + 7) = 5 × 4 + 5 × 7

Step-by-step explanation:

that means that there is one scale factor for all sides of the triangles.

so,

2 × f = 14

f = 14/2 = 7

and to control, this has to work also for the other given side :

3 × 7 = 21

correct.

so, the scaling factor to get from E to F is 7.

Answer:

The job with a salaried position that is paying $25,000

Step-by-step explanation:

The 2nd option would be better because $13 an hour wouldn't be as much if you time it by one day. For example 13x24=$312 for just one day. But if it was more than one day, option 1 would be the best choice.

Answer:

43xgfsstib dhibfdhbkfvh

Answer:

0=y

Step-by-step explanation:

Answer: -3

Step-by-step explanation:

The y-intercept is the place where the line crosses the y-axis, the vertical line in the middle of the graph.

Answer:

  GPA = 3.05

Step-by-step explanation:

You want the GPA, given the course grades and associated credits for 4 courses.

The GPA is the weighted average of the individual course grade points. The weights are the course credits.

The weighted average is found by multiplying grade points by course credits, adding the products for all the courses, and dividing by the total number of course credits (the total of the weights).

  GPA = (3.5×5 +2.2×3 +2.9×4 +3.2×6)/(5+3+4+6) = 54.9/18

  GPA = 3.05

__

Additional comment

Many calculators and all spreadsheets can calculate a weighted average for you.

Answer:

18 cm Is the Answer To your Question

Answer: -18 ==> C

Step-by-step explanation:

x = −3 and y = −6

3x + 4y + 15=

3(-3) + 4(-6) + 15=

-9 + (-24) + 15 =

-9-24+15=

-(9+24)+15=

-33+15=

-(33-15)=-18 ==> C

Answer:

c) -18

Step-by-step explanation:

Given that,

→ x = -3

→ y = -6

Let's solve the problem,

→ 3x + 4y + 15

→ (3 × -3) + (4 × -6) + 15

→ -9 - 24 + 15 = -18

Thus, the solution is -18.

Increasing income taxes on the wealthy while increasing welfare payments to the poorest, will likely reduce inequality and reduce efficiency.

Note: The complete question is presented before answering the question as follows:

If the united states government raises the income taxes on the wealthiest Americans, while increasing welfare payments to the poorest Americans, the result will likely be.

The answer is now as follows:

An income tax is a tax that is levied against people or organizations based on their earnings.

Increasing income taxes on the wealthy while increasing welfare payments to the poorest, will redistribute wealth and reduce inequality.

However, doing so will reduce the incentive for the wealthy to work to produce more commodities which will result in a reduction in efficiency.

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Answer:

$92.35

Step-by-step explanation:

Subtract 46,453 from 51,255 to get 4,802.  Now divide that result by 52 to get 92.346.  Round that to the nearest cent to get 92.35.

The polynomial of 3rd degree whose zeros and degree are given as for zero of (-2), multiplicity 1 and for zero of (3), multiplicity 2 is [tex]f(x)=(x^{3}-10x^{2} -15x+18)[/tex]

As per the question statement, a 3rd degree polynomial has a zero of (-2), multiplicity 1 and another zero of (3), multiplicity 2.

We are required to determine the polynomial.

Since, (-2) is a zero of the polynomial, then [tex][x-(-2)]=(x+2)[/tex] will be a factor of the polynomial. And since for zero of (-2), multiplicity is 1, this means that the factor of (x + 2) is only multiplied once.

Similarly, as (3) is another zero of the polynomial, then [tex](x-3)[/tex] will be a factor of the polynomial. And since for zero of (3), multiplicity is 2, this means that the factor of (x - 3) will be multiplied twice, i.e., [tex](x-3)^{2}[/tex].

Therefore, our function, say, f(x) will be [tex](x+2)(x-3)^2[/tex]

[tex]or, f(x) = (x+2)(x-3)^2\\or, f(x) = (x + 2)(x^{2} +9-12x)\\or,f(x) =x^{3}+9x-12x^{2} +2x^{2} +18-24x\\ or, f(x)=x^{3}+(2x^{2}-12x^{2})+(9x-24x)+18\\or, f(x)=(x^{3}-10x^{2} -15x+18)[/tex]

Hence, our required polynomial is [tex]f(x)=(x^{3}-10x^{2} -15x+18)[/tex]

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Answer: 97. -10<n<8

99. g>=7 or g<0

101. x<5 or x>=6

Step-by-step explanation:

97. -1<9+n<17

-1-9<9-9+n<17-9

-(1+9)<n<17-9

-10<n<8

99. g+5>=12

g+5-5>=12-5

g>=7

g/9 < 0

g<0

g>=7 or g<0

101.

2x<10

x<5

x/2 >=3

x>=6

x<5 or x>=6