Answer:
1600 integers
Step-by-step explanation:
Since we have a four digit number, there are four digit placements.
For the first digit, since there can either be a 5 or an 8, we have the arrangement as ²P₁ = 2 ways.
For the second digit, we have ten numbers to choose from, so we have ¹⁰P₁ = 10.
For the third digit, since it neither be a 5 or an 8, we have two less digit from the total of ten digits which is 10 - 2 = 8. So, the number of ways of arranging that is ⁸P₁ = 8.
For the last digit, we have ten numbers to choose from, so we have ¹⁰P₁ = 10.
So, the number of integers that can be formed are 2 × 10 × 8 × 10 = 20 × 80 = 1600 integers
Donovan wanted to measure the height of his town's
courthouse. He measured the length of the building's
shadow on the ground. It reached 60 feet from the
courthouse. His eyes are 6 feet above the ground and he
stood exactly 5 feet from the end of the shadow. Using
similar triangles, find the height of the courthouse.
Which statement is true about the solution to the system of equations below? { 2 y = 2 x + 2 4 y = 4 x + 10
Step-by-step explanation:
Given equations are :
2y = 2x + 2 ....(1)
4y = 4x + 10 ....(2)
we need to find the solution of the system of equations.
If the general equation are :
a₁x+b₁y+c₁ = 0
and
a₂x+b₂y+c₂ = 0
[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\ne \dfrac{c_1}{c_2}[/tex] (For parallel lines)
Here, a₁ = 2, b₁ = 2, c₁ = 2, a₂ = 4, b₂ = 4 and c₂ = 10
Since, [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{2}{4}\ne \dfrac{c_1}{c_2}[/tex]
Hence, the given system of equation is parallel lines.
fifteen subtracted from the product of a number and -4 is at most 32
Answer:
Step-by-step explanation:
Let's use the variable x to represent the unknown number.
Also, the word, "product", indicates multiplication.
In this problem, the product of a number and -4 would be represented as -4 x
The words, "is at most", would be represented as: <
Then to create the inequality, subtract 15:
-4 x - 15 < 32
Now solve the inequality using inverse operations. NOTE - Be sure to reverse the direction of the inequality symbol when multiplying or dividing by a negative number.
4 x - 15 < 32
-4 x - 15 + 15 < 32 + 15
-4 x < 47
-4 x / -4 > 47/-4
x > -47/4
x > -11.75
Hope this helped!
If 5 is added twice a number , the result is 29. Find the number
Answer:
12
Step-by-step explanation:
29 - 5 = 24
24 ÷ 2 = 12
hope this helps...
Patty has $75. Latisha has L dollars. Patty has $20
more than 3 times the amount of money that Latisha
has. Which equation represents the situation?
Answer:
5
Step-by-step explanation:
5 + 20 = 25
25 x 3 = 75
Hope this helps!
Which value from the set 3,8,9,14
2n -5 = 11
14
8
9
3
Is 5feet, 12feet, 13feet a right triangle or not a right triangle ?
Answer:
Yes, a right triangle can have side lengths 5, 12, and 13.
Step-by-step explanation:
One day, the system stops working correctly. The faucet starts to fill the aquarium at a rate of 30 liters per minute, and the drain opens at the same time, draining the water at a rate of 20 liters per minute.
Answer:
I need Help on this one too.
Step-by-step explanation:
Please help
Answer:
Step-by-step explanation: which things
an olympic team won 20 medals. if 70% of the medals were gold, how many gold medals did they win?
Answer:
14
Step-by-step explanation:
20 times 7/10= 14
Answer:
14
Step-by-step explanation:
first change 70% to a decimal it is 0.70 then multiply 0.70 times 20 and you get 14
There are 750 spectators in the stadium, of which 420 are women and the rest are men. What percent of the spectators are woman?
Answer:
56%
Step-by-step explanation:
Let x = The percentage of female spectators
420/750 = x/100
42000 = 750x
42000/750 = x
56 = x
A baseball player got 102 hits in the last 300 times at bat. what percent of the time at bat did the player get a hit
Answer:
the answer is like 35 percent
Answer:
im pretty sure its 34% jgbfjdjdbdhdjc
Someone please help me, will be marked as brainliest answer !!!!!!
Round 2.189 to 2 significant figures
Thank you so much for helping !
Answer:
2.2
Step-by-step explanation:
2.189 to 2 significant figures is 2.2
MATH AGAIN!! THANK YOU GUYS FOR THE HELP
Answer:
58y
Step-by-step explanation:
trust :)
A stone tower's shadow is 30 meters long. Not far away, a water tower's shadow is 60 meters
long. If the stone tower is 16 meters tall, how tall is the water tower?
Answer:
water=32 meters tall
Step-by-step explanation:
16/30=x/60
x=32
Which of the following equations represent a proportional relationship?
Select the 2 correct answers
( look at the pic for the answer choices)
Levell: Convert 1/2 to a percent
Answer: 1/2 converted into a percent is 50% and 1/2 converted into a decimal is 0.5
Step-by-step explanation:
This is true because what is half of 2? 1 right. Think of 2 being 100. Half of 100 is 50. This is why 1/2 as a percent is 50%.
Hope this helps :)
P.s. if you can give me a brainliest that would be cool.
can someone please help me with this.
Answer:
y - 2
Step-by-step explanation:
It has to be y - 2 because less than means subtract.
GEOMETRY
*image is attached above*
Answer:
(-1,-8)
Step-by-step explanation:
please help me please will give brainliest to
Whats the remainder
Answer:
Step-by-step explanation:
6 or in a fraction form of 6/7
The area of a rectangular painting is 3276 cm squared If the length of the painting is 63 cm what is its width?
Answer:
Width = 52cm
Step-by-step explanation:
Step one:
given data
Area= 3276 cm squared
lenght= 63cm
Required
The width
Step two:
We know that
Area= L*W
substitute
3276= 63*W
divide both sides by 63
W= 3276/63
W=52cm
The lemonade stand at the country fair sells the lemonade at a price of two cups for $3.00. Complete the table to find Paula's family will pay to buy lemonade for all eight members of the family.
Answer:
b
Step-by-step explanation:
Answer:
$12
Step-by-step explanation:
Question 1
Factorise 25x - 35
Answer:
I got 5(5x-7) I think I belive it is the answer.
Answer:
5(5x_7)
Step-by-step explanation:
for getting this,you must square the both side
The size of each exterior angle in a regular polygon is 20°
Work out how many sides the polygon has.
The answer for this question is 18
The diameter of a circle is 12 centimeters. What is the radius of the circle?
Answer:
6
Step-by-step explanation:
radius is half the diameter
Answer:
Step-by-step explanation:
if the diameter is 12, radius is half
12/2=6
r=6
There are 3 red marbles and 8 blue marbles in a bag.
(a) What is the ratio of red marbles to all marbles in the bag?
(b) What is the ratio of all marbles in the bag to blue marbles?
Solve For X
please help, thank you :}
Given:
Two secants intersecting each other outside the side the circle.
To find:
The value of x.
Solution:
Using Intersecting Secant Theorem, we get
[tex]x(x+8)=4(4+8)[/tex]
[tex]x^2+8x=4(12)[/tex]
[tex]x^2+8x=48[/tex]
[tex]x^2+8x-48=0[/tex]
Using splitting the middle terms, we get
[tex]x^2+12x-4x-48=0[/tex]
[tex]x(x+12)-4(x+12)=0[/tex]
[tex](x+12)(x-4)=0[/tex]
Using zero product property, we get
[tex](x+12)=0\text{ and }(x-4)=0[/tex]
[tex]x=-12\text{ and }x=4[/tex]
Side length cannot be negative, i.e., [tex]x\neq -12[/tex].
Therefore, the only value of x is 4.
Helen plans to drive 130 miles to a relatives house . She would like to complete the drive in 2 hours. What should be her average speed in miles per hour
Answer: 65 miles per hour
Step-by-step explanation: 130/2 = 65
Answer:
65 mph
Step-by-step explanation:
r=d/t
130/2=65
PLEASE HELP BIG FINALS TEST
The whole question didn’t fit so it said “ determine if it can be proven that the triangles are congruent. If they are congruent select the theorem that proves they are congruent”
Find the area of the
regular figure below:
A) 2,338.3 cm
B) 2.225.8 cm2
C) 2.190.1 cm2
D) 2,458.5 cm
E) 2,603.2 cm2
Answer:
Option A: 2338.3 cm² is the correct answer.
Step-by-step explanation:
Given that:
The given figure is a regular hexagon.
Length of side = 30 cm
Area of a hexagon is given by;
Area = [tex]\frac{3\sqrt{3}}{2}a^2[/tex]
Putting a=30 in the formula
Area = [tex]\frac{3\sqrt{3}}{2}(30)^2[/tex]
Area = [tex]\frac{3\sqrt{3}}{2}*900[/tex]
Area = [tex]3\sqrt{3}*450[/tex]
Area = 2338.26 cm²
Rounding off to one decimal place,
Area = 2338.3 cm²
Hence,
Option A: 2338.3 cm² is the correct answer.
Answer:do you remember what number 6 was on these ? It was a link Triangle and on the left said it had a like with the number 19 bedside it. Please get back to me
Step-by-step explanation:
