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kow [346]
2 years ago
12

Heidi's mom made flower arrangements for a party. She made 4 times as many rose arrangements as tulip arrangements. Heidi's mom

made 40 arrangements. How many flower arrangements of each type did Heidi's mom make? Complete the bar model. write an equation and solve
Mathematics
2 answers:
djyliett [7]2 years ago
7 0
8 tulip arrangements
32 rose arrangments
juin [17]2 years ago
6 0

Answer:

<em>Heidi'd mom made 32 rose arrangements and 8 tulip arrangements.</em>

Step-by-step explanation:

Let the number of rose arrangements be = x

Let the number of tulip arrangements be = y

Heidi's mom made 4 times as many rose arrangements as tulip arrangements.

We get the equation;

x=4y        

Heidi's mom made 40 arrangements. We get the second equation:

x+y=40          

Substituting the value of x from first equation to second equation, we get

4y+y=40

=> 5y=40

Dividing both sides by 5;

y = 8

And x = 4y

So, x=4(8)=32

x = 32

<em>Hence, Heidi'd mom made 32 rose arrangements and 8 tulip arrangements.</em>

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Which expression is equivalent to the equation?
IrinaK [193]

Answer:

Option 1

Step-by-step explanation:

The given equation equals 3072, so find the other equation that equals 3072.

Option 1 = 3072 - correct

Option 2 = 432 - wrong

Option 3 = 2883 - wrong

Option 4 = 432 - wrong

I hope this helps!

4 0
1 year ago
En una fábrica de automóviles que trabaja las 24 horas se arman diariamente 24
saul85 [17]

Answer:

a. La ganancia es de $ 4,060,000.00

b. 31 vehículos

Step-by-step explanation:

(a) Los parámetros dados son;

El número de automóviles tipo sedán fabricados = 24

El número de camiones tipo SUV fabricados = 16

El número de camiones tipo VAN fabricados = 12

El número de camionetas pick-up fabricadas = 8

El número de autos deportivos fabricados = 2

La ganancia por la venta de autos tipo sedán = $ 185,000 - $ 140,000 = $ 40,000

La ganancia por la venta de camionetas tipo SUV = $ 320,000 - $ 250,000 = $ 70,000

La ganancia por la venta de camiones tipo VAN = $ 400,000 - $ 310,000 = $ 90,000

La ganancia por la venta de las camionetas pick-up = $ 285,000 - $ 210,000 = $ 75,000

La ganancia por la venta de los autos deportivos = $ 550,000 - $ 400,000 = $ 150,000

La ganancia = 24 * $ 40 000 + 16 * $ 70 000 + 12 * $ 90 000 + 8 * $ 75 000 + 2 * $ 150 000 = $ 4060 000

(b) Por lo que hay una tasa de producción constante, solo la mitad de los automóviles se producirán dentro del período de 12 horas

Por lo tanto, tu fabricado

12 autos sedán, 8 camionetas tipo SUV, 6 camionetas tipo VAN, 4 camionetas pick-up y 1 auto deportivo para hacer un total de 31 vehículos.

6 0
2 years ago
What are the terms in the expression, 2 + 6 + 10b - 8a?
Kruka [31]

Answer:

B

Step-by-step explanation:

7 0
2 years ago
5r^2-44r+120 = -30r+11r
garik1379 [7]
5r^2-44r+120 = -30r+11r \\ \\ 5f^2 - 44r + 120 = -19r \\ \\ 5r^2 - 44r + 120 + 19r = 0 \\ \\ 5r^2 - 25r + 120 = 0 \\ \\ r =  \frac{25+5 \sqrt{71i} }{10} ,  \frac{25-5 \sqrt{71i} }{10} \\ \\ r =  \frac{5+ \sqrt{71i} }{2} ,  \frac{5 -   \sqrt{71i}  }{2} \\ \\ ANSWER:  r =  \frac{5+ \sqrt{71i} }{2} ,  \frac{5 -   \sqrt{71i}  }{2}
3 0
1 year ago
Paco's cell phone carrier charges him $0.20 for each text message he sends or receives, $0.15 per minute for calls, and a $15 mo
Katarina [22]

Given:

Paco's cell phone carrier charges him $0.20 for each text message he sends or receives, $0.15 per minute for calls, and a $15 monthly service fee. Paco is trying to keep his bill for the month below $30.

To Find:

The number of texts 't' Paco can send/receive in a month.

Answer:

0\leq t

best describes the number of texts he can send or receive to keep his bill less than $30 in a month.

Step-by-step explanation:

Paco wants to keep is monthly bill below $30.

We see that he has to pay a foxed monthly service fee of $15. This means he is only left with a limit of $30 - $15 = $15 for his monthly calls and texts.

That is, the amount he has to pay for texting and calling has to be less than $15.

For texts, the cell phone carrier charges $0.20 for sending/receiving texts.

For calls, he is charged $0.15 per minute.

Let the number of text messages Paco can send or receive in a month be denoted by 't'.

Let the number of minutes Paco can call in a month be denoted by 'c'.

Then, the total cost of text messages he can send or receive per month would be 0.20t and the total cost of the minutes he spends on calls would be 0.15c. Together, the sum of these has to be less than $15 if his monthly bill has to be kept less than $30 (accounting for the monthly service fee).

So,

0.20t+0.15c

The number of texts he can send will dpend on the number of minutes he spends on his calls. For Paco to spend maximum number of texts, he has to spend 0 minutes on calls.

So, putting c = 0, the aboce equation can be written as

0.20t+0

That is, Paco has to send and receive less than 75 texts.

So,

0\leq t

best describes the number of texts he can send or receive to keep his bill less than $30 in a month.

3 0
2 years ago
Read 2 more answers
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