MATHEMATICS MIDDLE SCHOOL

carla the baker worked for 5 hours to make cookies .she ended with 380 cookies altogether .write an equation to express how many cookies carla made each hour

Answers

Answer 1
Answer:

Answer:

Let c represents cookies Carla made each hour.

As per the statement: Carla the baker worked for 5 hours to make cookies.

⇒ total cookies made in 5 hours = 5c

Also, she ended with 380 cookies altogether.

then,

we have the equation;

5c = 380

Divide both side by 5 we get;

c = 76

Therefore, 76 cookies Carla made each hour.
Answer 2
Answer: An equation that goes with your problem is, 
380/5=c
The c is for cookies. Hope it helps!

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Which of the following is the solution to 9|x+4|>54 ?

Answers

Answer:

x < -10, x > 2

Step-by-step explanation:

9|x+4| > 54

|x+4| > 6

Split the absolute value into two equation, positive and negative.

1.)POSITIVE

x+4 > 6

x > 2

2.)NEGATIVE

-(x+4) > 6

-x - 4 > 6

-x > 10

x < -10

Answer:

\large\boxed{x<-10\ \vee\ x>2\to x\in(-\infty,\ -10)\ \cup\ (2,\ \infty)}

Step-by-step explanation:

9|x+4|>54\qquad\text{divide both sides by 9}\n\n(9|x+4|)/(9)>(54)/(9)\n\n|x+4|>6\iff x+4>6\ \vee\ x+4<-6\n\nx+4>6\qquad\text{subtract 4 from both sides}\n\nx+4-4>6-4\n\nx>2\n\nx+4<-6\qquad\text{subtract 4 from both sides}\n\nx+4-4<-6-4\n\nx<-10

the measure of one angle is eleven more than four times a number another angle is twice the first angles measure the sum of the measures of the angles are 195 degrees what is the measure of each angle

Answers

Answer=65° & 130°

195°=angle1+angle2
195°=(11+4x)+2(11+4x)
195°=33+12x
subtract 33 for both sides
162=12x
13.5=x

Now lets solve for the measure of the angles

angle1=11+4x
angle1=11+4(13.5)
angle1=11+54
angle1=65°


angle2=2(11+4x)
angle2=2(11+4(33.5))
angle2=2(11+54)
angle2=2(65)
angle2=130°
x, y, and z are the angles
so
x is 11 more than 4 times y
x=11+4y

z is twice the first angles measure
z=2x

the sum of the angles is 195
x+y+z=195

so we have
x=11+4y
z=2x
and
x+y+z=195
make everything y
subsitute 11+4y for x
11+4y+y+z=195
subsitute 2x for z
11+4y+y+2x=195
subsitute 11+4y for x
11+4y+y+2(11+4y)=195
distribute
11+4y+y+22+8y=195
group according to type
(4y+y+8y)+(11+22)=195
add like terms
13y+33=195
subtract 33 from both sides
13y=162
divide both sides by 13
y=12 and 8/13
subsitute
x=11+4y
x=11+4(12 and 6/13)
x=11+48 and 24/13
x=11+49 and 11/13
x=60 and 11/13
z=2x
z=2(60 and 11/13)
z=120 and 22/13
z=121 and 9/13

the angles are
12 and 6/13
60 and 11/13
121 and 9/13 or aprox

12.46
60.85
121.69

A certain bleach is 5% active ingredients. In 10 gallons of this bleach, how much is active ingredients? 0.05gallons 0.5gallons 5gallons

Answers

The answer would be 0.5 gallons.

At Brian’s Bookstore, 0.3 of the shelves hold mysteries, 25% of the shelves hold travel books, and 7/20 of the shelves hold children’s books. Which type of book covers the most shelf space in the store? Explain how you arrived at your answer.

Answers

0.3= 30%
25%
7/20=35%
most of the books on the shelf are children's books

Write as a percent 11/12

Answers

approximately 92 percent
Aprox. 92% im or 20%

TIME REMAINING01:53:13
Rangsey is doing a science experiment on evaporation. He fills a container of water and measures the height of the water in
the container as 24.5 centimeters. After 15 days, the height of the water is 0.8 of its original height. What is the height of the
water in the container after 15 days?
0.76 centimeter
1.96 centimeters
7.6 centimeters
19.6 centimeters

Answers

Answer:

19.6

Step-by-step explanation:

24.5 x. 8

Answer:

it is d

Step-by-step explanation:

edge 2021
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