Grade 5 Module 3: End-of-Module REVIEW
Name
Date
1.
On Sunday, Sheldon bought 3 kg of plant food. He used 1 kg on his strawberry plants and used kg
for his tomato plants.
a.
How many kilograms of plant food did Sheldon have left? Write one or more equations to show how
you reached your answer.
Ur
orit,
Match
b.
Sheldon wants to feed his strawberry plants 2 more times and his tomato plants two more times.
f plant food as before. How much plant food will he need? Does he

Answer:

4

Step-by-step explanation:

Substitute 3 for x and solve.

|3 - 5| + 2

=|-2| + 2

= 2 + 2 = 4

Answer:

= - 1/2

Step-by-step explanation:

6y+6.7=2.(y-3)

6y+42=2.(y-3)

6y+42=2y+2.-3

6y+42=2y-6

4y=-48

4y/4 = -48/4

y=-48/4

y=-12.4/1.4

y= -12

Answer:

  y = -12

Step-by-step explanation:

Generally, the first step is to eliminate parentheses.

  6y +42 = 2y -6

Now, you have a 3-step equation. I generally start by subtracting the variable term with the lowest coefficient. That leaves a variable term with a positive coefficient.

  4y +42 = -6 . . . . . . subtract 2y from both sides (step 1)

Now, you want to eliminate the constant from the side of the equation that has the variable term. Add its opposite.

  4y = -48 . . . . . . . . . add -42 to both sides (step 2)

Finally, you divide by the coefficient of the variable.

  y = -12 . . . . . . . . . . divide both sides by 4 (step 3)

The solution is y = -12.

_____

Additional comment

As you can see, the general approach is to obtain the variable on one side of the equation and a constant on the other side. You do this by performing the same math operation to both sides of the equation.

Here, we notice that the values outside parentheses are multiples of each other, so we can start by dividing by 2

  3(y +7) = y -3 . . . . . . divide both sides by 2

  3y +21 = y -3 . . . . . . . eliminate parentheses

Now, we can do steps 1 and 2 at the same time, by adding -21-y to both sides. This gets rid of unwanted variables and constants in one step. (Your teacher may want you to show separate steps.)

  (3y +21) +(-21 -y) = (y -3) +(-21 -y)

  2y = -24 . . . . . . . . . simplify

  y = -12 . . . . . . . . . . . divide by the coefficient of the variable (step 3)

[tex]2x-8 - (2x+7)^2\\\\=2x-8 -(4x^2 + 2\cdot 2x \cdot 7 + 7^2)\\\\=2x-8-(4x^2 + 28x +49)\\\\=2x - 8 -4x^2-28x -49\\\\=-4x^2 -26x -57\\\\[/tex]

85%

Justin has ridden 34 miles out of 40 miles. This can be expressed as a fraction, 34/40.

If you carry out the division 34 ÷ 40, you get 0.85. This is the proportion of the course that Justin has ridden, and is always less than one. To convert this to a percentage, you multiply it by 100:

0.85 * 100 = 85%

Summarize given information. For every 7 quarters, theres three dimes. So divide 47 by 7 and multiply by 3 to find the amount of dimes. If there is a remainder left, further action must be taken.

47 / 7 = 6 (with remainder left over)  

In this case, only 42 would work therefore there are 5 extra quarters left. based on the number 6, there are 18 dimes and 42 quarters. Based on further calculations, of the five quarters left, there should be 2 dimes. So, the amount should become 20 dimes and 47 quarters leaving the percentage of 2.2 quarters per dime in this instant.

20 Dimes = $2

47 Quarters = $11.75

11.75 + 2 = 13.75

So there is about $13.75 in the jar.

Answer:

Brett, Riley, Ellema, Jennifer, Kamal, Felipe

Step-by-step explanation:

You have put their scores least to greatest, -7<-5<-1<0<1<2<3

Answer:

1.69

Step-by-step explanation:

Answer:

y=2/3x+11/3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-5)/(-1-2)

m=-2/-3

m=2/3

y-y1=m(x-x1)

y-5=2/3(x-2)

y=2/3x-4/3+5

y=2/3x-4/3+15/3

y=2/3x+11/3

Answer:

76 m^2

Step-by-step explanation:

To find the area of the figure, you must divide the figure into multiple shapes. By dividing the figure into a 4 x 9 rectangle and a 5 x 8 rectangle, you can calculate the area of these two figures and add them together. After doing this, your answer should be 76 m^2.

Answer:

see exp

Step-by-step explanation:

1.0, 1/3, 95%, 80%

Answer:

1) 5.44, 2) 3.9

Step-by-step explanation:

1) a/b + 2b - a^2 when a = 1.4 and b = 0.2

plug in the values:

1.4/0.2 + 2(0.2) - (1.4)^2 = 7 + 0.4 - 1.96 = 5.44

2) a[b-2c]^3 - d/e when a = 2, b = -0.75, c = -1, d = 0, e = -12 5/7 (rewritten to -89/7 = 12.71)

again, plug in the values:

2[-0.75-2(-1)]^3 - 0/12.71 = 2[1.25]^3 - 0 = 2[1.95] = 3.9

Answer:

1/24, 1/16, 1/12, 1/10, 1/8, 1/6, 1/4, 1/3, 1/2

Step-by-step explanation:

If you have this many fractions and they all have the same numerator, then the smallest number will have the biggest denominator and the biggest number will have the smallest.

So when you have all numbers with the same numerator and you're trying to put them in order from smallest to greatest, it's like putting the denominators in order from largest to smallest. (So, the 1/24 is the SMALLEST and the 1/2 is the BIGGEST.

Answer:

$28,875

Step-by-step explanation:

First, we would have to find 10% of $25,000

10% of $25,000 = $2,500

Now, we have to add the 2 values together

$25,000 + $2,500 = $27,500

Now, we can find the shipping fee, since it includes the engineering fee

5% of $27,500 = $1,375

Now, we can add the shipping fee to find the total

$27,500 + $1,375 = $28,875

Answer:

m=2

Step-by-step explanation:

m=y2-y1/x2-x1

m=3-1/1-0

m=2/1

m=2

Answer:

2

Step-by-step explanation:

because i got it right on the quiz

Answer:

B. (5,0)

Step-by-step explanation:

hope this helps

Answer:

B. (5,0)

Step-by-step explanation:

Place all the coordinates on the graph and then its pretty much self-explanatory after that. you just see which is closest to the subject. which, in this case, was the school.

Using the normal approximation to the binomial, it is found that there is a 0.9319 = 93.19% probability that fewer than 260 are women.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The mean and the standard deviation for the approximation are given by:

[tex]\mu = np = 300(0.833) = 249.9[/tex]

[tex]\sigma = \sqrt{np(1 - p)} = \sqrt{300(0.833)(0.167)} = 6.46[/tex]

Using continuity correction, as the binomial distribution is discrete and the normal distribution is continuous, the probability that fewer than 260 are women is P(X < 260 - 0.5) = P(X < 259.5), which is the p-value of Z when X = 259.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{259.5 - 249.9}{6.46}[/tex]

[tex]Z = 1.49[/tex]

[tex]Z = 1.49[/tex] has a p-value of 0.9319.

0.9319 = 93.19% probability that fewer than 260 are women.

A similar problem is given at https://brainly.com/question/25347055

Answer:

Step-by-step explanation:

For  

f(x) = 2x2-3x -5

For Part A

Set f(x) = 0

Factor the Quadratic

Set the factors = 0  

Solve each factor for x to find your x intercepts

For Part B

You need to use the coefficients in your Quadratic  

List them

a = 2 , b = -3 and c = -5

Since a is positive, your parabola opens up  

Find the x coordinate of the vertex it is -b/2a

One you get the x coordinate, plug it into to your Quadratic to get f(x) your y coordinate of the vertex

For Part C

You can plot the vertex, both x intercepts on a coordinate grid

Area

[tex]\\ \tt\longmapsto \dfrac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|[/tex]

[tex]\\ \tt\longmapsto \dfrac{1}{2}|(-2)(3+5)+(4)(-5-1)+(-2)(1-3)|[/tex]

[tex]\\ \tt\longmapsto \dfrac{1}{2}|-16-24+4|[/tex]

[tex]\\ \tt\longmapsto \dfrac{1}{2}|-36|[/tex]

[tex]\\ \tt\longmapsto 18units^2[/tex]

Answer:

1 2/3

Step-by-step explanation:

1 and 2/3

Answer:

I believe it'd 69.5

Step-by-step explanation:

if u use the equation 2x+5=134, you get 64.5 for Josh and 69.5 for eric

Answer:

-1

Step-by-step explanation:

Use the slope formula to calculate

-3-6/4-(-5)

= -9/9

= -1 (Slope)

Answer:

1

Step-by-step explanation:

(f/g)(x)

= [tex]\frac{f(x)}{g(x)}[/tex]

= [tex]\frac{2x}{3x-2}[/tex] ← substitute x = 2 into the expression

= [tex]\frac{2(2)}{3(2)-2}[/tex]

= [tex]\frac{4}{6-2}[/tex]

= [tex]\frac{4}{4}[/tex]

= 1

Answer:

the expressions are: x + y = 43  and x - 13 = y

x = 28

y = 15

Step-by-step explanation:

hope this helps

may i get braineist pls

Answer:

Smaller is 18, larger is 25.

Step-by-step explanation:

x + y = 43

y = x - 7

x + (x - 7) = 43

2x - 7 = 43

2x = 50

x = 25 (larger)

25 - 7 = 18 (smaller)

Answer:

C) 84

Step-by-step explanation:

Use the Fundamental Counting Principle, which states that if there are p ways to do one thing, and q ways to do another thing, then there are p×q ways to do both things. In this case, we have 2 ways to select one object from the first set, 3 ways to select one object from the second set, and 14 ways to select one object from the third set. So, we multiply and do 2*3*14=84

Therefore, there are 84 unique combinations

Answer:

Its the first one (top left option)

Step-by-step explanation:

ur in a rush so i wont explain, pls give me brainliest

Answer for the first question: There are 13 pieces of pie left.

Step-by-step explanation: So there are 3 pieces of apple pie left, there are 4 pieces of cherry pie left, and there are 6 pieces of pumpkin pie left. 3 + 4 + 6 = 13.

3/8 = 3 pieces because each fraction in this one equals one piece. So the numerator is how many left.

1/2= 4 because you just divide 8 by 2.

3/4 = 2 because you can multiply the fraction by 2 and get 6/8. Then the numerator is how many that's left.

Therefore, there are 13 pieces of pie left.

1. First, let's have the pieces have the same denominator: 8!

3/8 is already fine

1/2 = 4/8

3/4 = 6/8

Now add up the numerators: 13 pieces were eaten.

Since there are 3 pies, there's 24 pieces total

24 - 13 = 11

11 pieces are left over

2. First, 3/4 x 6 = 4.5

1 1/2 x 5 = 7.5

4.5 + 7.5 = 12

-5 + 12 = 7

At 5:00 pm, it was 7 degrees.

Hope this helps!

Answer:

During the 16th and early 17th Century, the equals, multiplication, division, radical (root), decimal and inequality symbols were gradually introduced and standardized. ... In the Renaissance Italy of the early 16th Century, Bologna University in particular was famed for its intense public mathematics

Prior to the invention of the Mathematical Symbols, mathematical equations were written in words.

For example, Y + 10 = 4.5 would be written as

The thing plus ten equal to eight.

It is true that MOST, that is, the majority of the mathematical symbols we have today were invented in the 16th century. Examples of such symbols are:

Prior to the 16th century, some mathematical signs were already in use. They are:

See the link below for more about Mathematical Signs:

https://brainly.com/question/11855662