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Marysya12 [62]
4 years ago
15

The first week of January,there are 49 dogs and 28 cats in an animal shelter. Throughout the month,the ratio of dogs to cats rem

ain the same. The last week of January,there are 20 cats in the shelter. How many dogs are they?
Mathematics
1 answer:
Elina [12.6K]4 years ago
7 0

Answer:

35 dogs

Step-by-step explanation:

x ---> the number of dogs

y ---> the number of cats

The last week of January we have 20 cats and the ratio is the same

so

\frac{x}{y}=\frac{49}{28} ----> equation A

y=20 ---> equation B

substitute equation B in equation A

\frac{x}{20}=\frac{49}{28}

solve for x

x=\frac{49}{28}(20)=35 dogs

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Point V is on line segment \overline{UW}
andreev551 [17]

Answer: VW = 19

Step-by-step explanation: The segment UW has a point V between them, so:

UV + VW = UW

6 + 4x - 1 = 5x

4x + 5 = 5x

x = 5

The numerical length is

VW = 4x - 1

VW = 4(5) - 1

VW = 19

<u>The measure, numerically, of VW is 19</u>

8 0
3 years ago
CAN SOMEONE PLEASE HELP WILL GIVE BRAINLIEST
spin [16.1K]

Answer:

c = 7

d = 5

Step-by-step explanation:

Notice that in the first expression, x^c is inside a square root, and only perfect squares can be extracted from it. On the simplified form shown on the right hand side, we have x^3 outside the root and a single "x" left inside. In order for such to happen (x^3 get outside the root) there must have been an x^6 inside the square root. This together with the sole "x" that was left in the root, totals seven factors of x that should have been originally inside the square root:

x^6 * x = x^7  therefore c was a "7"

In the second expression we have a CUBIC root, so only perfect cubes can get extracted from it. Since there is one factor "x" shown in the simplified form (right hand side of the equal sign), that means that it must have been an x^3 (perfect cube) apart from the x^2 that was left inside the root. This makes the original power of x to be a 3 + 2 = 5.

Therefore d = 5

4 0
3 years ago
An open box is to be constructed so that the length of the base is 3 times larger than the width of the base. If the cost to con
natta225 [31]

Answer:

Step-by-step explanation:

Let assume that the volume = 88 cubic feet

Then:

L = 3w --- (1)volume = l \times w \times h \\ \\ 88 =  (3w)   \times w  \times h \\ \\ 3w^2 h= 88 \\ \\ h = \dfrac{88}{3w^2}--- (2) \\ \\

The construction cost now is:

C = 4(l \times w) + 2 ( w  \times h) + 2(l \times h) \\ \\ C = 4(3w^2) + 2(w  \times \dfrac{88}{3w^2}) + 2(3w \times \dfrac{88}{3w^2}) \\\\ C = 12w^2 + \dfrac{176}{3w} + \dfrac{176}{w}

Now, to determine the minimum cost:

\dfrac{dC}{dw}= 0  \\ \\ \implies 24 w - \dfrac{176}{3w^2}- \dfrac{176}{w^2}=0 \\ \\ 24 w ^3 = \dfrac{176}{w^2}(\dfrac{1}{3}+1) \\ \\ 24 w ^3 = \dfrac{176(4)}{3} \\ \\ w^3 = \dfrac{88}{3(3)}

w = \dfrac{88}{3(3)}^{1/3} \ feet

Now;

length = 3 ( \dfrac{88}{3(3)})^{1/3} \ feet

height = ( 88})^{1/3} (3)^{1/3} \ feet

6 0
3 years ago
What is the equation
myrzilka [38]
Y+4=0.25(x-3) is the equation in point-slope form
7 0
3 years ago
Marcus has $163 in his checking account. On Monday, je wrote a check for $315. How much does Marcus need to deposit into is acco
lisabon 2012 [21]


he would need to deposit $152  to prevent the account balance from dipping below the minimum of $25.

315-163 would =152 so that's how I got me answer 

7 0
3 years ago
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