Answer:
0.5 < x < 15.5
Step-by-step explanation:
Triangle Inequality Theorem
Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:
x + y > z
x + z > y
y + z > x
Combining the above inequalities, and provided y>z, the third size must satisfy:
y - z < x < y + z
The two side lengths given in the triangle of the figure are y=8.5, z=8.0, thus the possible values of x lie in the interval
8.5 - 8.0 < x < 8.5 + 8.0
0.5 < x < 15.5
Which equation shows how to rewrite the sum of 30 and 45 using their greatest common factor? 30 + 45 = 5(6 + 9) 30 + 45 = 15(2 + 3) 30 + 45 = 5(6) + 15(3) 30 + 45 = 5(6)(3)
Answer: 30 + 45 = 15(2 + 3)
Step-by-step explanation:
The greatest common factor for 30 and 45 will be gotten as follows:
Factor of 30 = 2 × 3 × 5
Factor of 45 = 3 × 3 × 5.
GCF = 3× 5 = 15
Therefore, the equation that shows how to rewrite the sum of 30 and 45 using their greatest common factor will be:
30 + 45 = 15(2 + 3)
Evaluate the following expressions given x=6 and y=-3
a.
[tex] \purple{5 \times 6 - 4 \times ( - 3)}[/tex]
[tex] = 30 + 12[/tex]
[tex] \blue{ = \boxed{42}}[/tex]
b.
[tex] \purple{ {6}^{2} + \frac{6}{ - 3} }[/tex]
[tex] = 36 - 2[/tex]
[tex] \blue{ = \boxed{34}}[/tex]
c.
[tex] \purple{(6 - 5 {)}^{3} + {( - 3)}^{2} }[/tex]
[tex] = {1}^{3} + 9[/tex]
[tex] = 1 + 9[/tex]
[tex] \blue{ = \boxed{10}}[/tex]
=============================Hope it helps
=============================If 5 boxes of girl scout cookies cost $20, how many boxes of girl scout cookies can I buy for $36?
Answer:
9
Step-by-step explanation:
20 / 5 = 4 36 / 4 = 9
A skateboarder rides by my office every 8 minutes, and a cyclist rides by every 10 minutes. How long will it take for the skateboarder and cyclist to ride by at the same time?
Answer:
40 minutes
Step-by-step explanation:
10 times 4 = 40
8 times 5 = 40
so they will cross paths after 40 minutes of riding
Which of the following transforms y= x2
the
graph of y = (x + 5)2 ?
a translation 5 units to the right
a translation 5 units to the left
a translation 5 units down
a translation 5 units up
hing
Answer:
a translation 5 units to the left
Step-by-step explanation:
Answer
Part 1: B. 5 units left
Part 2: C. 7 units down
Hope it helps!
Have an amazing day!!
^ω^
-- FTS
Rashida keeps her collection of 162 books on three shelves there are 42 books on the first shelf there are x books on the second self the number of books on the third shelf is 2 times the number of books on the second shelf what is the value of x the number of books on the second shelf
Answer:
f
Step-by-step explanation:
162-42=120
divide 120 by the other 2 shelves and get 60. if its 2 times the number of books on the second shelf its 60.
Divide.
511÷411
Enter the correct answer in the box.
Answer:
1.24
Step-by-step explanation:
Answer:
1.24330900243
Step-by-step explanation:
I did the whole equation on paper
what is 9/32 + 7/8 plz help
Answer:
1 5/32
Step-by-step explanation:
First, find common denominators. What you do to the denominator, you must do to the numerator.
First, multiply 4 to both the numerator and denominator of the second fraction:
(7/8)(4/4) = (7 * 4)/(8 * 4) = 28/32
Next, add across:
9/32 + 28/32 = 37/32
Simplify. Turn the improper fraction into a mixed fraction:
37/32 = (32 + 5)/32 = 1 5/32
1 5/32 is your answer.
~
Answer:
37 /32
Step-by-step explanation:
Find the least common denominator or LCM of the two denominators:
LCM of 8 and 32 is 32
For the 1st fraction, since 8 × 4 = 32,
7 /8 = 7 × 4
8 × 4 = 28 /32
Likewise, for the 2nd fraction, since 32 × 1 = 32,
9 /32 = 9 × 1
32 × 1 = 9 /32
Add the two fractions:
28 /32 + 9/32 = 28 + 9 /32 = 37 /32
So, 7/8 + 9/32 = 37/32
In mixed form: 1 5 /32
Please mark as brainliest!
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 55% salt and Solution B is 80%
salt. She wants to obtain 30 ounces of a mixture that is 65% salt. How many ounces of each solution should she use?
A square rug has an inner square in the center. The side length of the inner square is x inches and the width of the outer region is 6 in. What is the area of the outer part of the rug?
the formula for simple interest is
Answer:
p(r+1)
Step-by-step explanation:
Hope this helps
Answer:
I= prt
Step-by-step explanation:
P=Principle
R= Rate
T=Time
Find the measure of all the indicated angles.
Help please !!
If you were to measure the length of a typical driveway, which unit would make most sense to measure it in?
Answer:
Feet
Step-by-step explanation:
The unit that makes the most sense is feet. Inches are too small and miles are too long, yards are not that common in building feet is the standard unit.
find the simple interest on each amount 1500 at 11% for two years
Answer:
330.00
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 11%/100 = 0.11 per year,
then, solving our equation
I = 1500 × 0.11 × 2 = 330
I = $ 330.00
The simple interest accumulated
on a principal of $ 1,500.00
at a rate of 11% per year
for 2 years is $ 330.00.
Find the slope of the line that
passes through the following
points. (0,0), (-2,-4)
Answer:
m=2
Step-by-step explanation:
math is hard
Answer:
2
Step-by-step explanation:
The equation for finding slope is:
[tex]\frac{y_{2} - y_{1}}{x_{2}-x_{1}}[/tex]
Plugging in our values of x and y gives us:
(-4 - 0)/(-2-0) =
-4/-2 =
4/2 =
2
What is 2x + 7y = -14 in y=Mx+b form
Answer: y= -2/7x-2
Step-by-step explanation:
Carson wants to install wallpaper on the wall in his bedroom with the shape and dimensions shown below. 14 ft 11 ft 12 ft - To determine the area of the wall, he divides it into a triangle and a rectangle. What are the dimensions of the triangle?
Answer:
B
Step-by-step explanation:
Answer:
Its B
Step-by-step explanation:
I did the test.
What is the coefficient of 3y+7?
Answer:
3
Step-by-step explanation:
it's 3 because the number is infront of a variable
Mr. Pickle bought an iPod from his friend who claims that the iPod was worth $250.00
when he bought it. The iPod's value decreases exponentially at the same rate each
year, and one year later the iPod's value is $187.50. By what percentage is the iPod's
value depreciating each year?
Answer:
437.5
Step-by-step explanation:
i added both of em
find x for this please.
Answer:
B) 4
Step-by-step explanation:
just plug in the numbers from your answer choices and see which one gets you to 120 since it is the opposite angle from 30x
I don’t know how to complete this problem. Can anyone help out? Please and thank you :)
7 + -6 = what is the answer
Answer:
answer is 1
I hope it's helps you
Answer:
the answer is 1
Step-by-step explanation:
Hopes this helps...
Helppp meee pleaseee
Answer:
I'm not sure sorry if I'm wrong but I think the answers would be 3,4,5
PLZ HELP ME ASAP PLZ
Answer:
14
Step-by-step explanation:
5×2²-2-4
5×4-2-4
20-2-4
18-4
14
Answer:
Rewrite the absolute value equation as four equations without absolute value bars.
5z−2=z+65−2=−(z+6)−(5z-2)=z+6−(5z−2)=−(z+6)
After simplifying, there are only two unique equations to be solved.
5z−2=z+65z−2=−(z+6)
Solve
5z−2=z+6 for z.
Tap for more steps...
z=2
Solve
5z−2=−(z+6)for z.
Tap for more steps...
z=−23
List all of the solutions.
z=2,−23
The result can be shown in multiple forms.
Exact Form:
z=2,−23
Decimal Form:
z=2,−0.6
Step-by-step explanation:
it is 0.6
I need help- Badly I forgot how to do this- yikes
Answer:
Step-by-step explanation:
An exterior angle of a triangle is formed by any side of a triangle and the extension of its adjacent side. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. Find the values of x and y in the following triangle. y + 92° = 180° (interior angle + adjacent exterior angle = 180°.)
Does this table represent a function? Why or why not?
A. Yes, because the y-values are positive numbers
B. No because each x value is different
C. No because none of the y values are the same
D. Yes because every x value corresponds to exactly one y value
Answer:
D) Yes, Because every x-value corresponds to exactly one y-value
Step-by-step explanation:
I did this, got it correct
how would the numbers 6870000 appear in scientific notation on a calculator screen
Answer: D
Step-by-step explanation:
-12{-8+[4(2-5)-(-10-2)]}
-12(-8+(4*2-4*5)+10+2)
-12(-8+(8-20)+12)
-12(-8-12+12)
-12(-8)
96
Which other expression has the same value as (-14)-(-8)
Answer choices:
(-14)+8
14-(-8)
14+(-8)
(-14)+(-8)
Answer:
(-14)+(-8)
Step-by-step explanation:
WHAT DOES N = HELP ITS DUE IN 10 MINUTES
Answer:-7
Step-by-step explanation:
Answer:
N = -7
Step-by-step explanation:
16 - 9 = -7