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Anastasy [175]
4 years ago
9

Workers at Samantha strStrawberry patch picked 3 1/2 dozen strawberries on Monday on Tuesday they pick 4 1/4 times as many how m

any dozens isStrawberries did they pick on Tuesday
Mathematics
1 answer:
tino4ka555 [31]4 years ago
3 0

Answer:

The number of dozens of strawberries ordered on Tuesday   is 14\frac{7}{8} dozen

Step-by-step explanation:

The amount of strawberries picked on Monday = 3 1/2 dozen  

Now, 3\frac{1}{2}  = 3 + \frac{1}{2}  = 3 + 0.5  = 3.5

So, the dozen of strawberries picked by workers on Monday  = 3.5 dozen

Now, the amount of strawberries picked on Tuesday

= 4 1/4 times ( Strawberries picked on Monday)

Also,  4\frac{1}{4}  = 4 + \frac{1}{4}  = 4 + 0.25  = 4.25

So, the strawberries picked on Tuesday  = 4.25 x ( 3.5 dozen)

                                                                      =  14.875 dozen

14.875 = 14 + 0.875   =  14 + \frac{875}{1000}  = 14 + \frac{7}{8}  = 14\frac{7}{8}

Hence, the number of dozens of strawberries ordered on Tuesday = 14\frac{7}{8}

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3-) Martha O'Brien made a deposit to her checking account at an ATM and received
Mademuasel [1]

Answer:

The amount Martha deposited in checks is $150

The amount Martha deposited in cash is $100

The total deposit is $175

Step-by-step explanation:

Since Total deposit (T) = currency (C) + coins + check (Ck) - cash received (Csh)

T = C + Ck - Csh.  (1)

Given that cash received (Csh) = $75,coins = 0 and the checks deposited totaled $50 less than twice the currency amount. So,

Ck = 2C - $50   (2)

Also, total deposit was $25 more than the check amount. So,

T = Ck + $25  (3)

Substituting equation (2) into (1), we have

T = C + Ck - Csh

T = C + 2C - $50 - Csh

T = 3C - $50 - $75

T = 3C - $125   (4)

Substituting equation (2) into (3), we have

T = Ck + $25

T = 2C - $50  + $25

T = 2C - $25  (5)

Equating equations (4) and (5), we have

3C - $125 = 2C - $25

Collecting like terms, we have

3C - 2C = $125 - $25

C = $100  

Substituting C into (2), we have

Ck = 2C - $50  

Ck = 2($100) - $50  

Ck = $200 - $50

Ck = $150

We now compute T

T = C + Ck - Csh.

T = $100 + $150 - $75.

T = $250 - $75

T = $175

So, the amount Martha deposited in checks is $150

The amount Martha deposited in cash is $100

The total deposit is $175

5 0
3 years ago
The product of 2x-3 and x+4 can be expressed asA) 2x^2+5x-12B) 3x+1C) 2x^2+x-12D) 2x^2-12
DanielleElmas [232]

The given product is

(2x-3)(x+4)

We have to use the distributive property

2x\cdot x+2x\cdot4-3\cdot x-3\cdot4=2x^2+8x-3x-12

Then, we reduce like terms

2x^2+5x-12<h2>Hence, the answer is A.</h2>
5 0
1 year ago
A 4​-ft vertical post casts a 20​-in shadow at the same time a nearby cell phone tower casts a 120​-ft shadow. How tall is the c
Sedaia [141]

change 20 in  to ft

20/12 = 1 2/3 ft


4 ft                               x ft

-------                     =    ---------------

5 /3 ft  shadow           120 ft


using cross products

4 * 120 = 5/3 x

480 = 5/3 x

multiply each side by 3/5

480 * 3/5 = x

288 ft

7 0
4 years ago
An investor decides to invest some cash in an account paying 14 % annual interest, and to put the rest in a stock fund that ends
OLEGan [10]

Answer:

WILL GIVE BRAINLIEST 60 POINTS Given that figure ABCD is a dilation of figure KLMN, find the missing values:

(Note that values are slightly different

8 0
2 years ago
In ΔPQR, \overline{PR} PR is extended through point R to point S, \text{m}\angle QRS = (4x-15)^{\circ}m∠QRS=(4x−15) ∘ , \text{m}
mixas84 [53]

Answer:

Step-by-step explanation:

Notice that, the angle QRS is external to the triangle and adjacent to the angle PRQ. According to the theorem of a external/adjacent angle, we have: m∠QRS = m∠PQR + m∠RPQ, where PQR and RPQ are internal angles.

From the hypothesis, we have:

m∠QRS =(10x−12)∘(10x−12)

m∠PQR = (3x+20)∘(3x+20)

m∠RPQ=(3x−8)∘(3x−8)

Using the first equation and replacing the hypothesis:

m∠QRS = m∠PQR + m∠RPQ

(10x−12)∘(10x−12) = (3x+20)∘(3x+20) + (3x−8)∘(3x−8)

Multiplying and applying the remarkable identity:

Then, we use a calculator to find the roots, which are:

In this case, we will see what root is the right one.

Now, we replace it into m∠QRS =(10x−12)∘(10x−12), because we need to find m∠QRS.

m∠QRS =(10x−12)∘(10x−12) = (10(4.7) - 12) (10(4.7) - 12) = (35) (35) = 1225

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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