According to exponent rules, when we multiply the same base we _____ the exponents

Answer:

42

Step-by-step explanation:

Given that,

210 oranges, 252 apples, 294 pears are equally packed in cartons so that no fruit is left.

The factor of 210 = 2×3×5×7

The factor of 252 = [tex]2^{2}\times 3^{2}\times 7[/tex]

The factor of 294 = [tex]2\times 3\times 7^{2}[/tex]

We need to find the biggest possible number of cartons needed. It can be calculated by taking HCF of the above numbers.

The HCF of 210, 252 and 294 = 2×3×7

= 42

Hence, 42 is the biggest possible number of cartons needed.

Answer:

S

=

{

(

−

2

,

5

)

}

Step-by-step explanation:

Answer:

33/12 or 2.75

Step-by-step explanation:

6 1⁄6 - 3 5⁄12

37/6 - 41/12

74/12 - 41/12

33/12 or 2.75

Answer: 100% increase

Step-by-step explanation:

You need the find the cost per bag in those weeks.

Three weeks ago, she could buy a bag for N5,700.

Three weeks after that, she could only buy half a bag for the same amount. A bag therefore costs:

= 5,700 ÷ 2/4

= N11,400

The percentage increase is:

= (11,400 - 5,700) / 5,700

= 100%

Answer:

with what life

Step-by-step explanation:

Answer:

(a) The mortgage amount she will borrow is $180,400

(b) Yes she can

(c) Her monthly payment will be approximately $914.06

(d) Her total repayment is approximately $329,061.6

(e) The amount of interest is approximately $148,661.6

Step-by-step explanation:

The details of the transactions are;

The gross annual income Victoria earns = $124,482

The cost price of the home she is buying, C = $225,500

The amount she is making as down payment = 20%

The duration the loan she id financing the rest with, t = 30-years

The interest rate on the loan, r = 4.5%

(a) The mortgage amount she will borrow, 'P', is the cost of the home less the down payment

The down payment = 20% of the cost of the home

∴ The down payment = (20/100) × $225,500 = $45,100

∴ P = $225,500 - $45,100 = $180,400

The mortgage amount she will borrow, P = $180,400

(b) Using the 2× to 2.5× gross income rule, we have;

2 × her annual income = 2 × 124,482 = 248,964

∴ 2 × her annual income > The mortgage = 180,400

She can afford the mortgage

(c) The monthly fixed payment for the mortgage is given as follows;

   [tex]M = P \times \dfrac{r}{n} \times \dfrac{\left(1+ \dfrac{r}{n} \right)^{n \cdot t}}{\left[\left(1 + \dfrac{r}{n} \right)^{n\cdot t} - 1\right]}[/tex]

Where;

n = The number of periods per year = 12 monthly periods per year

180,400*0.045*(1 + 0.045)^(30)/((1 + 0.045)^(30) - 1)

[tex]M = 180,400 \times \dfrac{0.045 }{12} \times \dfrac{\left(1+\dfrac{0.045 }{12}\right)^{30 \times 12}}{\left[\left(1 + \dfrac{0.045 }{12}\right)^{30 \times 12} - 1\right]} \approx 914.060298926[/tex]

Her monthly payment will be M ≈ $914.06

(d) The total repayment is given as follows;

n × t × M

∴ 12 × 30 × 914.06 = 329061.6

The total payment for the house = $329,061.6

(e) The amount of interest = The total payment - The principal loan amount

∴ The amount of interest = $329061.6 - $180,400 = $148,661.6

Answer:

29 units

Step-by-step explanation:

12 + 12 + 5

29

Answer:

1).  (x - 4 = 13)

2).  (r + 17 = 51)

3). (7/9x =28)

4). (2/3x = 2)

5). { 3(x-2) = -9 }

6). (x -1.75 = 8.85)

7). Natalie buys organic almonds priced at $77 from the grocery store. How much did

she pay the cashier, if she received $23 in change?

Step-by-step explanation:

1. add 4 on both sides and it will be x=17

2. subtract 17 on both sides and it will be x= 34

3. multiply 9/7 on both sides and it will be x= 257/7 then you divide 257 by 7 then the final answer will be x= 36

4. multiply 3/2 on both sides and it will be x=6/2 then you divide 6 from 2 and the finial answer will be x= 3

5. you will distribute 3 into x and 2 and you will be 3x-6=-9 then you will add 6 on both sides so you will get 3x=3 and then divide 3 on both side so you will get x=1

6. add 1.75 on both sides so x= 10.6

7. the equation will be 23 +x = 77 so first you will subtract 23 on both sides and x will equal 54 so Natalie paid $54

Answer:

i'm taking that test rn

Step-by-step explanation:

jesse has never used the sliding board at his daycare because he is afraid. His teacher has encouraged him, but he refuses to slide down. one day his mother stands at the bottom And say's Jesse let's go and slides into his mother's arms Laughing The situation is a example of Social referencing. Option (d) is correct.

Situation refers to a group of conditions or a current state of events.

Social reference is the method through which newborns control their behavior toward surrounding items, people, and circumstances by observing the emotive displays of an adult.

For adaptive social functioning to occur, one must recognize and make use of the emotional communication of others. The ability to negotiate complicated and frequently ambiguous settings is known as social referencing in the developmental literature and social appraisal in adult studies.

Therefore, Option (d) is correct. The situation is a example of Social referencing.

Learn more about Situation, here;

https://brainly.com/question/15540434

#SPJ2

Answer:

54

Step-by-step explanation:

(24^2)+(30^2)

Answer:

54yd^2

Step-by-step explanation:

you need to break up the figure into 2 different boxes. One 3 x 10 and one    6 x 4 which adds up to 30 + 24 = 54.

Answer:

not sure search it up

Step-by-step explanation:

Answer:

33ft²

Step-by-step explanation:

b= base (3)

l= slant height (4)

Surface area = b²+2bl

=3²+2(3)(4)

=9+2(12)

=33

Answer:

2x^2-x-3

(2x)(-3)

(x)

(1)

Step-by-step explanation:

Distribute

(2x^2) (-3x)

(2x) (-3)

Answer:

uhh i don't know the answer sorry

Step-by-step explanation:

ummm i Don't know

Answer:

4 − 3

Step-by-step explanation:

1. H

2. A

3. E

4. C

I have to type extra words to turn this in so basically I just found the slop of the line then matched it with the letters...

Answer:

23

Step-by-step explanation:

GCF of 4 is 2 and GCF of 30 is 6.

2(2*x)-6(5*y)

---

hope it helps

Answer:

4 hours and 40 minutes

Step-by-step explanation:

450g = kg

450g = 0.45 kg

We will use ratios:

[tex]\frac{20}{0.45} =\frac{x}{6.3} \\\\0.45x=126\\x=280[/tex]

280 mins =

4 hours and 40 minutes

4(60) + 40

240 + 40

280

Answer:

-4 + -6 = -10

Step-by-step explanation:

From the line at negative 4 it goes to negative 10 you need to add six to four to make ten. Though since it is negative numbers we add a negative 6

Answer:

are u ok tho

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

−2+3(1−4)−2

=−2+(3)(−3)−2

=−2+−9−2

=−11−2

=−13

hope it helped

please mark me as brainliest.

Answer:

5/12

Step-by-step explanation:

Answer:7/12

Step-by-step explanation: 5+3+4=12 12-5= 7/12

Around 4 times, maybe 3

Step-by-step explanation:

there's 2 red 3s and there's 52 cards in a deck. so u have a 2/52 chance to get a red 3 so its about a 4/104 chance to get a red 3 if u draw 1 card 100 times

Answer:

i think it is A CiNiyah

Step-by-step explanation:

Answer:

A≈176.71

Step-by-step explanation:

A=πr^2

We find the radius by slicing the diameter in half. The radius is half of the diameter.

A = A=π 7.5^2

A=π 56.25

A≈176.71

Answer:

12/5

Step-by-step explanation:

tan A = opp/adj

For angle theta, 12 is the opposite leg.

13 is the hypotenuse.

We were not given the length of the adjacent leg, but we can use the Pythagorean theorem to find it.

a^2 + b^2 = c^2

a^2 + 12^2 = 13^2

a^2 + 144 = 169

a^2 = 25

a = 25

The adjacent leg has a length of 5.

tan theta = opp/adj

tan theta = 12/5

Answer: 12/5

Answer:

0.15

Step-by-step explanation:

Brainliest?

Answer:

If a bag of candy costs $3.75 and the sales tax was 4% of the cost, then the amount of tax you would be charged is $.15

Step-by-step explanation:

4% = 0.04

0.04 * 3.75=.15

$.15

hope this helped :)

24 years and 5 months

add 13 years to ten get 23 add 6 to 11 to get 1 year and 5 months

23 plus 1 years and 5 months = 24 years an 5months

have a nice day please mark brainliest