Answer:
10 meters tall.
Step-by-step explanation:
If the 2 meter post casts a 3 meter long shadow the ratio
is 3:2 where 3 is the shadow and 2 is the height.
3*5=15
2*5=10
Answer:
The tree is 10 meters tall.
Step-by-step explanation:
The tree's shadow is 5 times longer than the shadow of the post. So the height of the post times 5, which is 10 meters.
15/3=5
5(2)=10
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When Samantha uses her calling card overseas, the cost of a phone call is $0.75 for the first three minutes and $0.12 for each additional minute, thereafter. Samantha plans to spend at most $3.60 to make a call. Find the greatest possible length of talk time. Round your answer to the nearest whole number.
x = 26.75 min
26 minutes, would = 3.51. if you add .12 to that it is 3.63.
so the most that she could talk would be 26 minutes.
Which equation describes a line that has a slope of -2/3 and passes through the point (-6,9)?
A y= -2/3x+9
B y= -2/3x+5
C y= 5x-2/3
D y= -6x+9
find the value of x and y. if (x+y,1) =(2,2x-y)
Answer:
x=1/3. y=3/2
Step-by-step explanation:
x+y=2. =>equation 1
2x-y = 1. => equation 2
equation 1 + equation 2,
x+y+(2x-y) = 2-1
x+y+2x-y = 1
3x = 1
x=1/3
plug in value of x in equation 1,
1/2 + y = 2
y= 2 - 1/2
y = 3/2
Which system of equations has no solution?
5 x + 5 y = 10 and 2 x + 2 y = 4
3 x minus 6 y = 4 and negative 4 x + 8 y = 7
6 x + 2 y = 6 and 7 x + 3 y = 9
3 x minus 4 y = 16 and 2 x + 3 y = 5
The equation which has no solutions is 5 x + 5 y = 10 and 2 x + 2 y = 4
What is equation?
An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
As,
5 x + 5 y = 10 and 2 x + 2 y = 4
a1= 5, b1= 5, c1 = -10
a2= 2, b2= 2, c2 = -4
Now, a1/ a2 = 5/2
b1/ b2= 5/2
c1/ c2= -10/-4 = 5/2
Hence, a1/a2= b1/b2= c1/c2
So, the pair of equation has no solution.
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Johathan purchases 10 traveler's checks in denominations of $20, $50, and $100, totaling $370.He has twice as many $20 checks as $50 checks. How many of each denomination of traveler's checks does he have?
Answer:
Six 20$ bills, Three 50$ bills, One $100 bill
Step-by-step explanation:
6x20=120
3x50=150
1x100=100
120+150+100=370
and there are twice as many 20$ checks than 50$ checks
A bathtub is draining at a constant rate. After 3 minutes, it holds 36 gallons of water. Seven minutes later, it holds 15 gallons of water. Write an equation the represents the number y of gallons in the tub after x minutes
Answer:
y = 45 - 3x
Step-by-step explanation:
Given that:
Bathtub drains at a constant rate :
Amount of water in tub after 3 minutes = 36 gallons
Amount of water in tub after 7 minutes later (3 + 7) ;(after 10 minutes) = 15 gallons
Using the slope - intercept relation:
y = mx + c
y = gallons in tub after x minutes
m = slope (rate at which water drains per minute)
C = intercept
Hence,
Amount of water in tub after 3 minutes = 36 gallons ; x = 3,; y = 36
Since water is draining gradient m is negative
36 = c - 3m - - - (1)
Amount of water in tub after 7 minutes later (3 + 7) ;(after 10 minutes) = 15 gallons
15 = c - 10m - - - (2)
Subtract (2) from (1)
21 = - 3m + 10m
21 = 7m
m = 3
From (1)
36 = c - 3(3)
36 = c - 9
36+ 9 = c
45 = c
Hence, the equation becomes ;
y = 45 - 3x
What is the equation of the line that passes through the point (1, 3) and has a slope of
-3?
Answer:
y=-3x+6
Step-by-step explanation:
3=-3*1+b
3=-3+b
b=6
y=-3x+6
-3*1 is -3+6 is 3
A swimmer dives to 65 feet below the surface of the ocean. Write the integer that represents the depth of the dive. PLEASE HELP THIS IS A QUIZ!!
Answer:
-65 feet
Step-by-step explanation:
Answer: -65
Step-by-step explanation:
lets say 0 is the sea level and the swimmer goes down 65 it would be going to the left of zero which would be negatives so you would be going down -65 feet
Find the slope of the line that passes through the points (2,4) and (6, 12)
O 1/2
0-1/2
O 2/1
0-2/1
Answer:
The slope is 2 or 2/1
Step-by-step explanation:
Evaluate the expression when m= 6 and n=34.
n-5m
Answer:
n+5m=4
Step-by-step explanation:
n- 5m
34-5(6)
34-30
4
x- 6y > 5
7x + 2y ???????????
Answer:
.
Step-by-step explanation:
Answer:
7x+2>=4
Step-by-step explanation:
70-4=66>=4
so,answer is Yes
What is the area of a scaled copy if the original figure's area is 36 and the scaled copy is 2/3?
Answer:
24
Step-by-step explanation:
1/3 of 36 is 12 then 12 x 2 is equal to 24
9×10 to the power of two is how many times as much as 3×10 to the power of -2
A radio station gave away 192 tickets to a concert. They gave away 5 times as many tickets to listeners as they gave to employees. How many tickets did they give away to employees?
Answer:
Tickets to workers= 32
Step-by-step explanation:
Giving the following information:
Total tickets= 192
They gave away 5 times as many tickets to listeners as they gave to employees.
We will use the rule of 3:
6/6=192
5/6= ? = 192*(5/6) = 160
They gave 160 tickets to listeners.
Tickets to workers= 192 - 160= 32
Prove:
32*5= 160
A bus travels 0.8 mile east every 45 seconds. A second bus travels 0.55 mile west every 30 seconds. The buses start at the same location. Use two methods to determine how far apart the buses are after 15 minutes.
Answer:
32.5 miles
Step-by-step explanation:
Given that:
Eastbound bus :
0.8 miles every 45 seconds
Speed per second :
0.8 / 45 = 0.0177777 miles per second
Distance after 15 minutes
(15 * 60) * 0.0177777 = 16 miles
Westbound bus:
0.55 miles every 30 seconds
Speed per second :
0.55 / 30 = 0.0183333 miles per second
Distance after 15 minutes :
(15 * 60) * 0.0183333 = 16.5 miles
Distance apart :
16 miles + 16.5 miles = 32.5 miles
METHOD 2:
Distance covered after 15 minutes :
15 minutes = 15 * 60 = 900 seconds
Distance apart after 900 seconds :
[0.8 * (900/45)] + [0.55 * (900/30)]
16 + 16.5
= 32.5 miles
I need Help please!!!
Answer:
I believe it is B!
Step-by-step explanation:
one batch of cookies requires 2 and 2/3 cups of sugar how much sugar does Angela need if she wants to make one and a half batches
Answer:
4 cups of sugar
Step-by-step explanation:
To solve this, you need to multiply 2 2/3 by 1 1/2. To do this, you need to change both into improper fractions:
2 2/3 --> 8/3
1 1/2 --> 3/2
Now, you need to multiply them together:
8/3 x 3/2
= 24/6
= 8/2
= 4 cups of sugar
the perimeter of the given equilateral triangle is 42 cm find s if it's side length is (3s+2) cm
Answer:
14cm
Step-by-step explanation:
Given parameters:
perimeter of the triangle = 42cm
length of side = (3s + 2)cm
Unknown:
Find the length of each side = ?
Solution:
The perimeter of a body is the sum of all its sides.
In this problem, we have been given an equilateral triangle. For such a triangle, all the sides are equal. So the perimeter is the sum of all the three sides;
(3s + 2) + (3s + 2) + (3s + 2) = 42
9s + 6 = 42
9s = 42 - 6
9s = 36
s = 4;
The length of its sides = 3s + 2
= 3(4) + 2
= 12 + 2
= 14cm
Janice went to 5 different stores in the mall. She spent an average of $30 at each store. After visiting just the first 4 stores she had spent $100. How much must she have spent
A.)525
B.)$30
С.)$50
D.)$70
We want to find how much Janice spends on her last purchase.
The correct option here is C, she must have spent $50 on the last store.
Let's see how to get the correct answer:
We know that the average is $30 per store, and we know that she goes to 5 stores, then the total amount spent in the 5 stores is:
5*$30 = $150
Notice that average is just given by the total amount of money she spent divided the number of stores she visited, this does not mean that she spent $30 in each of these stores.
Now, we also know that in the first 4 stores she spents a total of $100.
We want to know how much does she spend on the last store, this will be given by the difference between the total amount and $100, this is:
$150 - $100 = $50
So she must have spent $50 on the last store, meaning that the correct option is C.
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if f (x) =2x+1 and the domain of f is (5,25,50) what is the range of f
Answer:
(11,51,101)
Step-by-step explanation:
f(5)=11
f(25)=51
f(50)=101
PLZ HELP ME AND THANK YOU: Mr. Miori bought a new tree for his backyard. He bought a red oak that cost $30. Since trees are a sales taxable item, he had to pay a sales tax of 7%. What was the total cost of his tree including tax?
Answer:
50
Step-by-step explanation:
k;';'kl;'kl;'kl;'kl;'kl;'kl'kl;'kl;'kl;'kl;
Step-by-step explanation:
[tex] \frac{7}{100} \times 30 = 2.10[/tex]
[tex]30 + 2.10 = 32.10[/tex]
Hola, ¿cómo tienes un buen día (puntos gratis)
DON'T ANSWER IF YOU DONT KNOW SPANISH OR SOMETHING WILL HAPPEN
Answer:
Buena y como estas?
¡También gracias!
Answer:
bien, como te va a ti?
Step-by-step explanation:
saludos
Determine the average rate of change over left curly bracket negative 4 less or equal than x less or equal than 4 bold right curly bracket. Do NOT simplify.
Answer:
{-4≤ x≤ 4}
The average rate of change would be 1 for f(x) = x.
Step-by-step explanation:
Suppose we have a range a≤x≤b, then the average rate of change can be calculated by =f(b) - f(a)/b-a
The given range lies from -4 to 4 as {-4≤ x≤ 4}
The range of this is from -4 to 4.It includes all the numbers ranging from -4 to 4.
The average rate of change of the function is calculated by
= f(4) - f(-4)/4-(-4)
Suppose f(x)= x then f(4)= 4 and f(-4)= -4
Then
4- (-4)/ 4- (-4)
= 8/8= 1
So the average rate of change would be 1.
solve this equation step by step
t - 27 = - (27-t)
Answer:
infinite number of solutions
Step-by-step explanation:
Given
t - 27 = - (27 - t) ← distribute
t - 27 = - 27 + t
Since both sides are the same then there are an infinite number of solutions
What is a possible step when solving for x? Select all that apply.
512x+23x=37
A. x = 37
B. x = 6
C. 37x = 6
D. 376x=37
E. 112x+23x=37
THERE ARE 3 ANSWERS!!!
Answer:
b
d
e
Step-by-step explanation:
Write an equation of the line in slope-intercept form.
What does it equal??????
Answer:
8
Step-by-step explanation:
2*2*2=8
Answer:
it's 8
Step-by-step explanation:
Please help me I’m stuck in this class work for a while
Answer:
Step-by-step explanation:
Use y=mx+b so do y1-y2 over x2-x1 to get the slope then do y=m(slope)x+b and whatever number you get from doing slope(x-x1) you substitute your x1 with the number and subtract or add to get y=slope + whatever number you have left after you did the inverse on both sides
for example: y=-2x-3.
Which of the following is the abbreviation for a milligram?
g
mig
Mg
mg
which statesmen describes the association between variable X and variable Y?
perfect negative association
perfect positive association
moderate positive association
moderate negative association
Answer:
perfect positive association.
Step-by-step explanation:
A perfect positive association means that a relationship appears to exist between two variables, and that relationship is positive 100% of the time. In statistics, a perfect positive association is represented by the value +1.00, while a 0.00 indicates no association
