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2 years ago

6

Mrs. Kato has 6 bags of dried beans and a 2-pound bag of rice in one shopping bag. In another shopping bag she has a 5-pound bag

of flour. The two shopping bags weigh the same amount. What is the weight of each bag of dried beans?

1 answer:

Salsk061 [2.6K]2 years ago

8 0

Answer: 3 pounds

Step-by-step explanation:

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If CDE ~ GDF, find ED

qaws [65]

Answer:

10

Step-by-step explanation:

$\triangle CDE \sim \triangle GDF.. (given) \\\\\therefore \frac{CD}{GD} =\frac{DE}{DF}.. (csst) \\\\\therefore \frac{15}{x+3} =\frac{3x+1}{4}\\\\ \therefore \: 15 \times 4 = (x + 3)(3x + 1) \\ \\ \therefore \: 60 = 3 {x}^{2} + x + 9x + 3 \\ \\ \therefore 3 {x}^{2} + 10x + 3 - 60 = 0 \\ \therefore 3 {x}^{2} + 10x - 57 = 0 \\ \therefore 3 {x}^{2} + 19x - 9x - 57 = 0 \\ \therefore \: x(3x + 19) - 3(3x + 19) = 0 \\\therefore \: (3x + 19)(x - 3) = 0 \\ \therefore \: 3x + 19 = 0 \: \: or \: \: x - 3 = 0 \\ \therefore \: x = - \frac{19}{3} \: \: or \: \: x = 3 \\ \because \: x \: can \: not \: be \: - ve \\ \therefore \: x = 3 \\ ED = 3x + 1 = 3 \times 3 + 1 \\ \huge \red{ \boxed{ ED= 10}}$

7 0

2 years ago

Which of the following statements are true of a least - squares regression equation? *

zaharov [31]

Where’s is your problem?

7 0

2 years ago

Jack and Susie want to save to buy a trampoline for their children. They each open a savings account that earns 1.5% a

olasank [31]

Answer:

$1,800(1.015)^{x}$

Step-by-step explanation:

we have

$f(x)=1,000(1.015)^{x}$

$g(x)=800(1.015)^{x}$

we know that

To find the function that represent the total amount Jack and Suzie will save in x years, adds f(x) and g(x)

so

$f(x)+g(x)=1,000(1.015)^{x}+800(1.015)^{x}$

$f(x)+g(x)=[1,000+800](1.015)^{x}$

$f(x)+g(x)=1,800(1.015)^{x}$

8 0

2 years ago

Read 2 more answers

10. If PQRS is a parallelogram, then P - R is:<br>(a) 20<br>(b) 30<br>(c) 90<br>(d) 0

statuscvo [17]

Answer:

d) 0

Step-by-step explanation:

P -R = 0

Because in parallelogram, opposite angles are equal.

4 0

2 years ago

The track team is trying to reduce their time for a relay race. First they reduce their time by 2.1 minutes. Then they are able

konstantin123 [22]

Answer: 15.7 minutes

Step-by-step explanation:

Let x be the time in the beginning (in minutes).

Given: The track team is trying to reduce their time for a relay race.

First they reduce their time by $t_1=$ 2.1 minutes.

Then they are able to reduce that time by $t_2=$ 10

If their final time is 3.96 minutes, then

$x-t_1-t_2=3.6\\\Rightarrow\ x=3.6+t_1+t_2\\\Rightarrow\ x=3.6+2.1+10\\\Rightarrow\ x= 15.7$

Hence, their beginning time was 15.7 minutes.

7 0

2 years ago