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stiv31 [10]
3 years ago
13

Hello, Please help me :D thank you!

Mathematics
2 answers:
8_murik_8 [283]3 years ago
8 0

Answer:

6a. 26

6b. 60%

6c. 33.3% or just one-thrid

7. 80.925 rounded is $80.93

8. 240

9. 25

10. 54%

Step-by-step explanation:

brainliest please!

tia_tia [17]3 years ago
5 0

Answer:

Step-by-step explanation:

chocolate donuta= 35% of 40

=\frac{35}{100} *40

=\frac{1400}{100}

=14

chocolate donuts=14

a.donuts that are not chocolates=40-14

=26

b.donuts with sprikles=24

percent of donjts with sprikles=24/40 *100%

=(2400/40)%

=60%

c.donuts that have cream filling out of donut that have sprikles=8

percent of donuts which have sprikles with cream filling=8/24*100%

=(800/24)%

=33.33%

7.final cost=35% of $124.50

=35/100 *$124.50

=$4357.5/100

=$43.575

8.48% 0f 500

=48/100 *500

=48*5

=240

9.let the number be x

15=60% 0f number

15=60/100 *x

15/x=60/100

do cross multiplication

x*60=15*100

x=1500/60

x=25

therefore the number is 25.

10.let the percent be y%

90=y% of 60

90=y/100 *60

90*100=60y

9000/60=y

y=150 %

therefore 150% 0f 60 is 90

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Calculate the discriminant to determine the number solutions. y = x ^2 + 3x - 10
Nataly_w [17]

1. The first step is to find the discriminant itself. Now, the discriminant of a quadratic equation in the form y = ax^2 + bx + c is given by:

Δ = b^2 - 4ac

Our equation is y = x^2 + 3x - 10. Thus, if we compare this with the general quadratic equation I outlined in the first line, we would find that a = 1, b = 3 and c = -10. It is easy to see this if we put the two equations right on top of one another:

y = ax^2 + bx + c

y = (1)x^2 + 3x - 10

Now that we know that a = 1, b = 3 and c = -10, we can substitute this into the formula for the discriminant we defined before:

Δ = b^2 - 4ac

Δ = (3)^2 - 4(1)(-10) (Substitute a = 1, b = 3 and c = -10)

Δ = 9 + 40 (-4*(-10) = 40)

Δ = 49 (Evaluate 9 + 40 = 49)

Thus, the discriminant is 49.

2. The question itself asks for the number and nature of the solutions so I will break down each of these in relation to the discriminant below, starting with how to figure out the number of solutions:

• There are no solutions if the discriminant is less than 0 (ie. it is negative).

If you are aware of the quadratic formula (x = (-b ± √(b^2 - 4ac) ) / 2a), then this will make sense since we are unable to evaluate √(b^2 - 4ac) if the discriminant is negative (since we cannot take the square root of a negative number) - this would mean that the quadratic equation has no solutions.

• There is one solution if the discriminant equals 0.

If you are again aware of the quadratic formula then this also makes sense since if √(b^2 - 4ac) = 0, then x = -b ± 0 / 2a = -b / 2a, which would result in only one solution for x.

• There are two solutions if the discriminant is more than 0 (ie. it is positive).

Again, you may apply this to the quadratic formula where if b^2 - 4ac is positive, there will be two distinct solutions for x:

-b + √(b^2 - 4ac) / 2a

-b - √(b^2 - 4ac) / 2a

Our discriminant is equal to 49; since this is more than 0, we know that we will have two solutions.

Now, given that a, b and c in y = ax^2 + bx + c are rational numbers, let us look at how to figure out the number and nature of the solutions:

• There are two rational solutions if the discriminant is more than 0 and is a perfect square (a perfect square is given by an integer squared, eg. 4, 9, 16, 25 are perfect squares given by 2^2, 3^2, 4^2, 5^2).

• There are two irrational solutions if the discriminant is more than 0 but is not a perfect square.

49 = 7^2, and is therefor a perfect square. Thus, the quadratic equation has two rational solutions (third answer).

~ To recap:

1. Finding the number of solutions.

If:

• Δ < 0: no solutions

• Δ = 0: one solution

• Δ > 0 = two solutions

2. Finding the number and nature of solutions.

Given that a, b and c are rational numbers for y = ax^2 + bx + c, then if:

• Δ < 0: no solutions

• Δ = 0: one rational solution

• Δ > 0 and is a perfect square: two rational solutions

• Δ > 0 and is not a perfect square: two irrational solutions

6 0
3 years ago
Select all of the expressions that are equal to 6
Ivan
Add the possible answers so we know all options
8 0
3 years ago
HELP!!! MATH!!! Plessssssss!!!​
ratelena [41]

Answer:

the answer would be b

Step-by-step explanation:

the other 2 have negatives and the 3rd option is whole so b

3 0
2 years ago
G(t) = 3t + 4; Find g(−3)
Bess [88]
G(-3)= 3(-3)+4

g(-3) = -5
7 0
3 years ago
Need help (problem and directions in the image):
Alex

Triangle ABC is congruent to triangle CDE using the side - angle - side congruence theorem. The sink hole is 52.2 ft and the Perimeter of ABC is 172.2 ft

<h3>What are congruent triangles?</h3>

Two triangles are said to be congruent if they have the same shape and their corresponding sides are congruent.

In the image shown:

AC = CE, BC = ED and they have the same angle (opposite angles are congruent).

Hence:

Triangle ABC is congruent to triangle CDE using the side - angle - side congruence theorem.

AB = DE = 52.2 ft

Perimeter of ABC = AB + BC + AC = 50 + 70 + 52.2 = 172.2 ft

Find out more on congruent triangles at: brainly.com/question/2938476

#SPJ1

6 0
2 years ago
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