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Savatey [412]
3 years ago
14

Solve the given equation.-6. 15*+5 = -75​

Mathematics
1 answer:
vichka [17]3 years ago
6 0

Answer: -30.75=-75

Step-by-step explanation: Multiply -6.15 by 5.

Hope this helps you out.

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If angle ABC is one degree less than three times angle ABD and angle DBC=47 find each measure
Contact [7]

It has not been indicated whether the figure in the questions is a triangle or a quadrilateral. Irrespective of the shape, this can be solved. The two possible shapes and angles have been indicated in the attached image.

Now, from the information given we can infer that there is a line BD that cuts angle ABC in two parts: angle ABD and angle DBC

⇒ Angle ABC = Angle ABD + Angle DBC

Also, we know that angle ABC is 1 degree less than 3 times the angle ABD, and that angle DBC is 47 degree

Let angle ABD be x

⇒ Angle ABC = 3x-1

Also, Angle ABC = Angle ABD + Angle DBC

Substituting the values in the above equations

⇒ 3x-1 = x+47

⇒ 2x = 48

⇒ x = 24

So angle ABD = 24 degree, and angle ABC = 3(24)-1 = 71-1 = 71 degree

8 0
3 years ago
How many liters each of a 35% acid solution and a 80% acid solution must be used to produce 60 liters of a 65% acid solution? (R
serg [7]

Solving a system of equations we will see that we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

<h3>How many liters of each solution do we need to use?</h3>

First, we need to define the variables:

  • x = liters of the 35% acid used.
  • y = liters of the 80% acid used.

We know that we want to produce 60 liters of 65% acid, then we have the system of equations:

x + y = 60

x*0.35 + y*0.80 = 60*0.65

(in the second equation we wrote the percentages in decimal form).

To solve this we need to isolate one of the variables in one equation and then replace it in other one, isolating x we get:

x = 60 - y

Replacing that in the other equation:

(60 - y)*0.35 + y*0.80 = 60*0.65

y*(0.80 - 0.35) = 60*(0.65 - 0.35)

y*0.45 = 60*0.30

y = 60*0.30/0.45 = 40

So we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

7 0
2 years ago
Chang made $144 for 8 hours of work at the same rate how many hours would he have to work to make 234
olganol [36]

Answer:

ben daha küçük olduğum için özür dilerim yapamam 4. sınıfa gidiyorum

Step-by-step explanation:

VE puan kazanmam gerek

3 0
3 years ago
What’s the slope of (5,9) and (8,4)
Allushta [10]

Answer: -5/3

Step-by-step explanation:

Use the slope formula: \frac{y_{2}-y_1 }{x_2-x_1}

You substitute the numbers in and subtract to get -5/3.

4 0
3 years ago
Read 2 more answers
The table below shows the heights of several books. Jean stacks a dictionary on top of her novel. How high is the stack of the t
aev [14]

<u><em>Answer:</em></u>

The height of the stack = 5\frac{1}{4} in

<u><em>Explanation:</em></u>

We are given that Jean stacks a dictionary on top of a novel.

This means that the total height of the stack will be equal to the height of the dictionary added to the height of the novel.

<u>From the givens, we have:</u>

height of dictionary = 4\frac{1}{2} in

height of novel = \frac{3}{4} in

<u>Now, adding the two height, we will have:</u>

Total height of stack = height of novel + height of dictionary

Total height of stack = \frac{3}{4}+4 \frac{1}{2} = \frac{3}{4}+ \frac{18}{4}= \frac{21}{4}=5 \frac{1}{4} in

Hope this helps :)

6 0
3 years ago
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