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nlexa [21]
4 years ago
12

Write as an algebraic expression: a number that is 5 more than half of z

Mathematics
2 answers:
My name is Ann [436]4 years ago
8 0
Hey there!

We'll use our keyword of, which means we're multiplying. For example:
1/2 of 6 means 1/2 times 6, which equals three.

In our case, we want one half <em>of</em> z, meaning one half times z. That means we have:

\frac{1}{2}z

Now, we have to add the "five more". This means the quantity of one half of z is increased by 5, also known as adding 5. Therefore, we have:

\frac{1}{2}z +5

Hope this helps!
Oliga [24]4 years ago
4 0
1/2z +5 is the answer
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The sum of two numbers is 51 and the difference is 29 . what are the numbers?
sladkih [1.3K]
X+y=51
x-y=29

add equations
x+y=51
<u>x-y=29 +</u>
2x+0y=80

2x=80
divide 2
x=40
sub
x+y=51
40+y=51
y=11


they are 40 and 11
8 0
4 years ago
Please help, i need it done by today but dint know how to solve it
Kaylis [27]

Answer:

B

C

B, C

Step-by-step explanation:

Equation for each tree's growth.

A: y = 4x + 5

You are correct.

B: Your slope is correct, 4.5

Equation of height: y = 4.5x + 3

C: It starts at 10 inches, so in y = mx + b, b = 10.

Now we find the slope from points on the graph (0, 10) and (3, 20).

slope = m = (20 - 10)/(3 - 0) = 10/3

Equation: y = 10x/3 + 10

Questions:

Which tree is growing fastest:

The slope is the rate of growth.

Answer: B since it has the greatest slope.

Tallest tree when planted:

The y-intercept is the4 initial height.

Answer: C since it was 10 inches tall at planting.

Challenge:

A: 4x + 5 = 4(6) + 5 = 29

B: 4.5x + 3 = 4.5(6) + 3 = 30

C: 10x/3 + 10 = 10(6)/3 + 10 = 30

Trees B and C were both 30 inches at 6 months. Tree A was 29 inches.

Answer: B and C

4 0
2 years ago
Someone please help me
guapka [62]
Let the sides of the polygon (which is a triangle, by the way) be x, y and z.  The sum of x, y and z is the perimeter of the original poly, and this equals 18 cm.

Letting f be the scale factor,   f(18 cm) = 12 cm.  Then f=2/3.

The dilation reduces the size of the polygon by a factor of 1/3, producing a similar polygon which is 2/3 the size of the original one.

In each case we have 3 side lengths but no angles.  We can use Heron's formula to obtain the area in each case.  Look up Heron's formula.  In one version of this formula, p is half the actual perimeter, meaning that p is 18 cm / 2 for the first triangle and 12 cm / 2 for the second. 

The area of the first triangle would be

A18 = sqrt( 9(9-x)(9-y)(9-z) )

whereas 

A12 = sqrt( 6(6-x*a)(6-y*a)(6-z*a) ), where a represents the dilation factor 2/3.

Then the ratio of the areas of the 2 triangles is

sqrt( 6(6-x*a)(6-y*a)(6-z*a) )
---------------------------------------
  sqrt( 9(9-x)(9-y)(9-z) )

5 0
3 years ago
Dawson purchased a pair of shoes on boxing-day that was discounted by 60% from the original price of $150.00. Calculate the amou
Delicious77 [7]

Answer: $90

Step-by-step explanation:

To find 60% of 150, you can simply use this equation, 60 X 150 divided by 100. That will leave you with 90, which is the amount he paid for the shoes. :)

8 0
3 years ago
Read 2 more answers
What is the slope of a line perpendicular to y = -3/7x + 1 (Answer as an improper fraction and not a mixed number or decimal)
Veseljchak [2.6K]
For lines to be perpendicular they would need to have opposite slopes, so for a slope of -3/7 the slope of a perpendicular line would be 7/3
7 0
4 years ago
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