Brown Delivery Company delivers its standard crates using a fleet of vans and trucks. A van can hold up to 20 standard

crates, and a truck can hold up to 35 standard crates. If Brown Delivery Company needs to deliver exactly 270 standard

crates at one time using 12 vehicles, which system of linear equations could be used to determine the number of vans, x,

and the number of trucks, y, needed for this delivery?

x + y = 12

20x + 35y = 270

x + y = 270

20x + 35y = 12

x + y = 12

35x + 20y = 270

x+y = 270

35x + 20y = 12

Answer:

11.5 days

Step-by-step explanation:

Step-by-step explanation:

step 1. 2-7/8/(1/4) = (23/8)/(1/4) = 23/2 = 11-1/2.

step 2. it doesnt say how often you eat 1/4 boxes. let's assume it is daily.

step 3. answer: 11-1/2 days.

Answer: true because that’s what you get when you use the distributive property

Step-by-step explanation:

Answer:

5[tex]\sqrt{3}[/tex]

Step-by-step explanation:

in a 30-60-90 triangle the ratio of sides, respectively, is 1 : [tex]\sqrt{3}[/tex] : 2

you can set up a proportion like this to solve for 'x':

[tex]\sqrt{3}[/tex] / 1 = 15 / x

cross-multiply:

[tex]\sqrt{3}[/tex]x = 15

x = 15/[tex]\sqrt{3}[/tex]

rationalize the denominator by multiply top and bottom by [tex]\sqrt{3}[/tex]

you get 15[tex]\sqrt{3}[/tex] ÷ 3 which is 5[tex]\sqrt{3}[/tex]

Answer:

The slope is [tex]-\frac{2}{4}[/tex] or you can do -1/2

Step-by-step explanation:

the slope is m = -2 / 4 = -1 / 2 = -0.5

Answer:

1/2

Step-by-step explanation:

there are 13 cards in each type so

heart or diamond would mean either one so 13 +13=26

26/52

1/2

TOTAL NUMBER OF HEART CARDS= 13

TOTAL NUMBER OF DIAMOND CARDS= 13

PROBABILITY OF AN EVENT

= NUMBER OF FAVOURABLE OUTCOMES

TOTAL NUMBER OF POSSIBLE OUTCOMES

Probability of getting a heart card♥=13/52 =1/4

Probability of getting a DIAMOND card♦= 13/52 =1/4

Probability of getting a heart and a diamond card =26/52 =1/2

I hope you got it!!!...right!!

Answer:

(a) [tex]j = 4k[/tex]

(b) [tex]4k - 18 = 18 + k[/tex]

(c) Jim initially had 48; Kirk initially had 12

Step-by-step explanation:

Given

[tex]j = Jim[/tex]

[tex]k=Krik[/tex]

Solving (a): An equation for the amount they originally had.

From the question, we understand that j is 4 times as many as k.

Mathematically, this is:

[tex]j = 4 * k[/tex]

[tex]j = 4k[/tex]

Solving (b): Equation after Kirk wins

Initially Kirk had k.

To get the new expression, we add 18 to k.

This gives: 18 + k

In the same vein, Jim's number of chirps will reduce by 18.

Initially, Jim had j chirps (or 4k chirps)

To get the new expression, we subtract 18 from j.

This gives: j - 18

So, the equation is:

[tex]j - 18 = 18 +k[/tex]

Solving (c): Number of chirps they started with.

In (b), we have:

[tex]j - 18 = 18 +k[/tex]

Substitute 4k for j

[tex]4k - 18 = 18 + k[/tex]

Collect Like Terms

[tex]4k - k = 18 + 18[/tex]

[tex]3k = 36[/tex]

Divide both sides by 3

[tex]k =12[/tex]

Substitute 12 for k in [tex]j = 4k[/tex]

[tex]j = 4 * 12[/tex]

[tex]j = 48[/tex]

Answer:

28734.6cm^3

Step-by-step explanation:

Given data

diameter of ball = 38cm

radius = 38/2 =  19cm

The volume of a spher= 4/3πr^3

substitute

V= 4/3*3.142*19^3

V=4/3*3.142*6859

V=4/3*21550.978

V=86203.912/3

V= 28734.6cm^3

Hence the volume of the ball is 28734.6cm^3

Answer:

Step-by-step explanation:

if we have a right triangle,

one angle=90

180-90=90

let x be one angle, and y another angle

the other is 2x+30

x+2x+30=90

3x=60

x=20

y=70

The measure of each acute angles are 80 degrees and 10 degrees.

The triangle is a right angle triangle. This means one of its angles is 90 degrees.

The other 2 angles sum up to 90 degrees.

An acute angle is less than 90 degrees.

The measure of one acute angle is twice the sum of the measure of the other

acute angle and 30. Therefore,

first acute angle  = x

let the other angle  = y

y = 2(x + 30)

y = 2x + 60

2x - y = -60

x + y = 90

3x = 30

x = 30 /3

x = 10 degrees

y = 90 - 10

y = 80 degrees

learn more: https://brainly.com/question/19750219?referrer=searchResults

Answer:

18. x + 7 = 21

19. x - 55 km = 1000 km

-21,  -23, -27, -28, -28, -29 order them least to greatest and then find the middle if there is not a middle then put -27.5 as your answer for the median. For the mean add up all the number then you should get -156 then divide it by 6 which should give you -26 for the mean.  and for the mode you should get -28 as the one that occurs the most often.

mean: -26

median: -27.5

mode: -28

[tex]7x^5-21x^4+14x\\ \\ 7x^3(x^2-3x+2)\\ \\ 7x^3(x-1)(x-2)[/tex]

Answer:

surface area=602.88 in^2+

Step-by-step explanation:

top & bottom:

6^2 x Pi x2=36 x 3.14x2=226.08 in^2

vertical side:

circumference X height

2(6)(Pi)x10=2(6)(3.14)(10)=376.8 in^2

376.8+226.08=602.88 in^2

surface area=602.88 in^2

Step-by-step explanation:

[tex] \text{3(2x + 5)}[/tex]

Distribute 3 through the parentheses :

⇢[tex] \tt{3 \times 2x + 3 \times 5}[/tex]

⇢[tex] \tt{6x + 15}[/tex]

[tex] \blue{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \tt{6x + 15}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

[tex]\huge\boxed{\bold{6x+15}}[/tex]

Step-by-step explanation:

Hi there!

The Distributive Property states that

[tex]\bold{a(b+c)=ab+ac}[/tex]

All we should do is "distribute" a.

Now, let's solve the given problem.

[tex]\bold{3(2x+5)}[/tex]

[tex]\bold{6x+15}[/tex]

Hope this helps!

#HaveAnAwesomeDay

~Just a teenage girl willing to help

[tex]\bold{Besties4Ever}[/tex]

Answer:

C a rectangle 4 by 3

Step-by-step explanation:

Answer:

Basically, you will first graph the 3 or (0,3) on the graph. Then you go 4 units up and 3 units to the right.

Hope this helps, thank you !!

Answer:

[tex]vol. \: of \: cone = \frac{1}{2} \pi {r}^{2} h \\ = \frac{1}{2} \times \frac{22}{7} \times 8 \times 8 \times 9 \\ = \frac{11 \times 64 \times 9}{7} \\ = \frac{6336}{7} = 905.142[/tex]

Answer:

B. 75

Step-by-step explanation:

To find x (the number of students who went to the zoo) you would isolate the variable. 6x + 25 = $475 -> 6x = $450 -> x = 75. (Brainliest would be appreciated and if you have any questions then type them in the comments.)

Answer:

Step-by-step explanation:

(-12 - 13)/(-1 - 4)= -25/-5 = 5

y - 13 = 5(x - 4)

y - 13 = 5x - 20

y = 5x - 7

Answer: A=1500 (1.095)1/2t

Answer:

50

Step-by-step explanation:

bfa and afe will add up to equal 180 because they are supplementary

20x+2x+70=180

22x+70=180

22x=110

x=5

then you plug in 5 to 2x+70 to get 80

cfe and afe are also complementary so they will add up to equal 180 so angle cfe equals 100

cfd and cfe are the same angles so 100/2=50.

the arc length is the same as the angles so arc length dc is 50

Answer:

6 cm

Step-by-step explanation:

Here, we want to get the height of the triangle

As we can see , the whole

length is 13 cm

This is obtained by adding the length of the side of the rectangle to the height of the triangle

Thus, we have that

height = 13-7

height = 6 cm

Answer:

1. x < −6

2. x < 3.2

3. x < 4

4.  x>12.5

5. ? there is no "<, >" sign

6. b<5

7.  z<−2.1

pls give brainliest

Step-by-step explanation:

see photos for explanation

Answer: A

Step-by-step explanation:

Answer:

heyy there sorry i wish i could help i think its the first one!!!

Step-by-step explanation: