At the time of shipping, Jacob can place 10 small boxes or 8 large boxes into a carton. A total of 96 boxes were sent in one shipment. The number of small boxes was less than large boxes. What is the total number of cartons he shipped?

Answer:

Step-by-step explanation:

96 = 2w²

48 = w²

√48 = w

√(16)(3) = w

± 4√3  = w

± 6.93

w = 6.93, -6.93

Answer:

6 different ways.

Step-by-step explanation:

(1) Jeff, Lorri, Dan

(2) Jeff, Dan, Lorri

(3) Lorri, Jeff, Dan

(4) Lorri, Dan, Jeff

(5) Dan, Jeff, Lorri

(6) Dan, Lorri, Jeff

Answer:

x = 5

Step-by-step explanation:

These angles are supplementary so:

9x + 12x + 75 = 180

21x + 75 = 180

21x = 180 - 75

21x = 105

x = 5

Answer:

14m

Step-by-step explanation:

The expression that shows the number of coupon books:

14*m = 14m

Answer:

14m

Step-by-step explanation:

they say the members are represented by M, and the members sold 14 coupon we can't say it is m + 14 so the answer is 14m

Answer:

$22.05

Step-by-step explanation:

If a product has a sales commission, then one must divide the commission percent by (100) to convert the percent to a decimal. Then multiply the result by the price of the product to find the amount of money that will be given as a commission.

Applying this knowledge to the given problem, one must divide (9%) by (100) to convert to decimal form,

9% / 100 = 0.09

Now multiply the result by the price of the product (245) to find the amount given away in commission,

0.09 * 245 = 22.05

Answer:

Tell in english plss

Step-by-step explanation:

i dont understangd okk

Answer: $536.40

Step-by-step explanation:

8.94 * 2 = 17.88

8.94(40) + 17.88(10)

357.60 + 178.80 = $536.40

Answer:

1. No

2. Yes

3. [tex]\sqrt{80}[/tex]

4. x=8

Step-by-step explanation:

1.

6^2+8^2

=36+64=100

9^2=81

100≠81

No

2.

5^2+12^2

=25+144

=169

13^2=169

169=169

Yes

3.

x^2=4^2+8^2

x^2=16+64

x^2=80

x=[tex]\sqrt{80}[/tex]

4.

x^2+6^2=10^2

x^2+36=100

x^2=64

x=[tex]\sqrt{64}[/tex]=8

Answer:

A. 4

Step-by-step explanation:

The answer to this question is option A. which is 4. This is because for every value of 5 or above, we round up to the next digit. For option B and C, those values are either 5 or above. This means that choosing those values would give a new value of 74.16, not 74.15 as the answer is showing.

Answer:

6666666

Step-by-step explanation:

6

Answer:

12 pounds of batter

Step-by-step explanation:

27/5 =5.4

change 5.4 to 6

6 x 2 =12

12 pounds of batter

Answer:

4×6=24,4×-6=-24,4×3=12,4×-3=-12,4×

6=24,4×-3=-12

Answer:

99°

Step-by-step explanation:

Triangle=180°

Given, 41+40=81

180-81

Answer:

99°

Step-by-step explanation:

Sum of angles in a triangle is supplementary,

x + 41° + 40° = 180°

x + 91° = 180°

x = ( 180 - 91 )

x = 99°

Answer:

3/8=9/24

7/6=28/24

Step-by-step explanation:

[tex]\frac{3}{8}\cdot \frac{3}{3}=\frac{9}{24}[/tex]

[tex]\frac{7}{6}\cdot \frac{4}{4}=\frac{28}{24}[/tex]

Answer:

yes

Step-by-step explanation:

8d+54=150

8*12+54

96+54

150

Answer:

The answer is there are six outcomes

Step-by-step explanation:

TTFF, TFTF, TFFT, FTTF, FTFT,

FFTT

The probability of getting outcomes including 2 true and 2 false answers is 3/8.

The given sample space is {TTTT, TTTF, TTFT, TTFF, TFTT, TFTF, TFFT, TFFF, FTTT, FTTF, FTFT, FTFF, FFTT, FFTF, FFFT, FFFF}

We need to find how many outcomes include 2 true and 2 false answers.

The formula to find the probability of an event is P(E)=Number of favourable outcomes/Total number of outcomes.

Now, the number of favourable outcomes=6 and = the total number of outcomes=16.

So, P(E)=6/16=3/8

Therefore, the probability of getting outcomes including 2 true and 2 false answers is 3/8.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ2

Answer:

64 - 28 = 36

36 divided by 12 = 3

one ticket is 3 $

Answer:

6cm

Step-by-step explanation:

length of the longest string=24

length of the shortest string=18.

for both string to have the same length,

24-x=18

x=24-18

=6cm

Answer:

log ( 28 )

13 √ 25

log

( 1/ 2 )

Step-by-step explanation:

To solve this, we will use this property of logarithms:

If x= a ^ y

then log an (x) = y, where a is the base

 So if e^9 = y  , or y = e^9

then log e (y) = 9

NB: log e (y) is also referred to as the natural log of y, or ln y.

So it can also be written as:

Answer: ln y = 9, or log e (y) = 9

Answer:

Range = highest observation - lowest observation

180-157 = 23

Answer:

Hi! The answer to your question is 23

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

Zrób rysunek pomocniczy i oblicz miary kątów w sześciu trójkątach, które otrzymasz wykreślając dwusieczne kątów trójkąta. Kąt ABC wynosi 620 , kąt ACB wynosi 1020 .

Step-by-step explanation:

Answer:

equation is y=20(3)^x

Step-by-step explanation:

example:

Solve for x over the integers:

20 (3)^x = 4860

Divide both sides by 20:

3^x = 243

243 = 3^5:

3^x = 3^5

Equate exponents of 3 on both sides:

Answer:

x = 5 hours open with 4860 guest

Answer:

$2.90 for each book produced. If the book is sold to distributors for $10 each, how many must be sold to break even?

Step-by-step explanation:

. citizen of the represented state

Answer:

Quadrilateral and Parallelogram. There is not enough information given to determine the rest of the shapes.

Answer: d=0

Step-by-step explanation:

-8d+2=-40d+2

Add 40d to both sides

32d+2=2

Then isolate the 32d by subtracting 2 from the right side.

32d=0

Divide both sides by 32 and get

d=0

Answer:

282.7 cm²

Step-by-step explanation:

Hello There!

To find the area of the shaded area we are going to want to find the area of the whole semi circle and subtract it by the area of the smaller semi circle

To find the area of a semicircle we use this formula

[tex]A=\frac{\pi r^2}{2}[/tex]

where r = radius

For the large semi circle

The radius of the larger semi circle is 18 cm so we plug in 18 into r in the formula

So..

[tex]A=\frac{\pi 18^2}{2} \\18^2=324\\324\pi =1017.87602\\\frac{1017.87602}{2} =508.9380099[/tex]

So the area of the whole semi circle is 508.9380099 cm²

Now to find the area of the smaller semi circle

The radius for the smaller semi circle is 12 cm so we plug in 12 into r in the formula

[tex]A=\frac{12^2\pi }{2} \\12^2=144\\144\pi =452.3893421\\\frac{452.3893421}{2} =226.1946711[/tex]

so the area of the smaller semi circle is 226.1946711cm²

Finally we want to subtract the area of the smaller semi circle from the area of the whole semi circle

508.9380099 - 226.1946711 = 282.7433388

Finally we want to round to the nearest tenth and we get that the area of the rainbow is 282.7 cm²

We know that the sum of a straight line is 180° . So here there are 3 angles in a straight line . And the sum is 180° . So that ,

[tex]\tt\to Sum_{(angles \ of \ a \ straight \ line)}= 180^o \\\\\tt \to 7x + 8x + 44.4^o = 180^o \\\\\tt\to 15x = 180^o - 44.4^o \\\\\tt\to 15x = 135.6^o \\\\\tt\to x =\dfrac{135.6^o}{15}\\\\\tt\to \boxed{\orange{\tt x = 9.04^{\circ} \approx 9^{\circ} }}[/tex]

So the measure of angle that is highlighted will be 8x = 8(9) = 72°

Answer:

72.32degrees

x is 9.04

Step-by-step explanation:

7×9.04=63.28

8×9.04=72.32

44.4+63.28+72.32=180

Answer:

As the calculated value of z does not lie in the critical region the null hypothesis is accepted that the GPA mean of the night students is the same as the GPA mean of the day students.

Step-by-step explanation:

Here n= 20

Sample mean GPA = x`= 2.84

Standard mean GPA = u= 2.55

Standard deviation = s=  0.45.

Level of Significance.= ∝ = 0.01

The hypothesis are formulated as

H0: u1=u2   i.e the GPA of night students is same as the mean GPA of day students

against the claim

Ha: u1≠u2

i.e the GPA of night students is different from the mea GPA of day students

For two tailed test  the critical value is  z ≥ z∝/2= ± 2.58

The test statistic

Z= x`-u/s/√n

z= 2.84-2.55/0.45/√20

z= 0.1441

As the calculated value of z does not lie in the critical region the null hypothesis is accepted that the GPA mean of the night students is the same as the GPA mean of the day students.