The number less than 3,000.when you divide me by 32, my remainder is 30. when you divide me by 58, my remainder is 44 is one of this {798, 1726, 2654}.
There exists a, b∈N such as
N= 30+32a=44+58b
Therefore,
16a-29b= 22-15=7
Let us notice that 5×29-9×16=1
Therefore, 35×29-63×16=7
Hence, a= -63 is a non-fundamental solution to our equation.
We can show that the other solution are of the form a=-63+29k, with k∈Z
Therefore, the first positive solutions are
a= -63+3×29= 24
N= 798
a= -63+4×29= 53
N= 1726
a= -63+5×29=82
N= -63+6×29= 111
N= 3582
Therefore, the number is one of {798, 1726, 2654}.
For such more questions about simple equations:
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Find the area and thank
Answer:
add it
Step-by-step explanation:
Answer:
It’s 40
Step-by-step explanation:
I dont know which one?? please help...
Answer: the first one
Step-by-step explanation: it has nothing to do with the function
Why is LMNO=PQRS?? Help
Answer:
They are equal because they’re the same shape with the same lengths, but one is rotated. This is an example of rotation.
Step-by-step explanation:
Solve the system of equations using the elimination method. 2x − 3y = 50;7x + 8y = −10
A. (0, 5)
B. (6, 10)
C. (10, −10)
D. (3, −3)
Answer: C. (10, -10)
Step-by-step explanation:
Given
1) 2x-3y=50
2) 7x+8y=-10
Multiply both sides of 1) equation by 3.5
1) 3.5(2x-3y)=3.5×50
7x-10.5y=175
2) 7x+8y=-10
Subtract 2) equation from the 1)
(7x-10.5y)-(7x+8y)=175-(-10)
-18.5y=185
y=-10
x=10
(10, -10)
Hope this helps!! :)
Please let me know if you have any questions
Rectangle PQRS is rotated 90° counterclockwise about the origin.
Answer:
Can you please provide more information about the rectangle? Do you have a graph or some points?
Answer:c
Step-by-step explanation:
A cereal box is 8 1/2
inches long, 2 1/2
inches wide, and 12 inches high. What is the volume of the box?
The volume of the cereal box is blank cubic inches.
Answer:
V = 255
Step-by-step explanation:
Cereal box is a rectangular prism.
Rectangular Prism formula:
V = whl
Given:
w = 2.5
h = 12
l = 8.5
Work:
V = whl
V = (2.5)(12)(8.5)
V = 255
Answer: 1428
Step-by-step explanation: Length of the cereal box = 8 1/2 inches
= 17/2 inches
Width of the cereal box = 3 1/2 inches
= 7/2 inches
Height of the cereal box = 12 inches
Then
Volume of the cereal box = Length * Width * Height
= (17/2) * (7/2) * 12 cubic inches
= 17 * 7 * 12 cubic inches
= 1428 cubic inches
Mrs. Patterson but a set of building blocks for her son each cube shaped block measured 4 cm on one side what is the volume of six building blocks
Given:
The shape of all building blocks is a cube of side 4 cm.
To find:
The volume of six building blocks.
Solution:
Volume of a cube is:
[tex]V=a^3[/tex]
Where, a is the side length of the cube.
Putting [tex]a=4[/tex], we get
[tex]V=(4)^3[/tex]
[tex]V=64[/tex]
It means the volume of each building block is 64 cubic cm.
Now, the volume of six building blocks is
[tex]Volume=6\times V[/tex]
[tex]Volume=6\times 64[/tex]
[tex]Volume=384[/tex]
Therefore, the volume of six building blocks is 384 cubic cm.
1. Write a similarity statement if the triangles are similar
2. If the traingles are similar, state the triangle similarity postulate (shortcut) you used to prove similarity.
U
36
73
30
15
D
E
Answer:
The triangles are not similar
Step-by-step explanation:
The sides are not proportional
36/73 does not equal to 15/30
The rabbits ate three fifths of the celery crop in each of 8 gardens. What fraction of celery crop did they eat in all?
Answer:
The answer is a
Step by step
Multiplication
8×5 = 40
8×3 = 21
21/40
Step-by-step explanation:
A line with a slope of 0 contains the point (3,4) . The point -2,? is also on the line. What is the missing y-coordinate?
The solution is ___________
please don't use files
find the Surface Area of this shape
Answer:
V≈94423.71
Step-by-step explanation:
V=πr2h=π·342·26≈94423.7088
Need help plz with this if nobody don’t mind
Answersheeeeeeeeeeeeeeeeeeeeeeeeeesssh
Step-by-step explanation:
Write the equation of the line that passes through (-4, 3) and is perpendicular to the line y = 7/5x-2/5
Answer:
y - 3 = (-5/7)(x + 4)
Step-by-step explanation:
The given line, y = 7/5x-2/5, has a slope of 7/5. Any line perpendicular to this one must have a slope tht is the negative reciprocal of 7/5, which is -5/7.
Use the point-slope formula to come up with an equation for this new line:
y - 3 = (-5/7)(x + 4)
Problem #2 - 8.2B
Which point on the number line best represents the location of 98 ?
F Point M
G Point N
H Point P
J Point O
PLEASE ANSWER WILL GIVE BRAINLIEST
Please help me with this homework
Use the distributive property to solve the equation -2(x+5) =4
A rope 13 meters long will just reach from the top of a flagpole to a point on the ground 12 meters from teh base of the flagpole. Find the height of the flagpole
Answer:
the height of the flagpole is 5 meters
Step-by-step explanation:
The computation of the height of the flagpole is given below
Given that
the length of the rope is 13 meters
And, the ground would be 12 meters
Based on the above information, the height of the flagpole is
= √13^2 - √12^2
= √169 - √144
= √25
= 5 meters
hence the height of the flagpole is 5 meters
While drawing a triangle, Michael decided that he wanted to have the longest side to measure 32 cm. Which pair of side lengths could create the other two sides of his triangle? (7TH GRADE MATH)
Answer:
c
Step-by-step explanation:
What is 2 x 3/4?
It must be !!
Answer:
1.5
Step-by-step explanation:
[tex]\frac{2x3}{4}= \frac{6}{4}[/tex]
[tex]\frac{6}{4}[/tex] ÷2=
[tex]\frac{3}{2}[/tex]
Hope this helps :)
Answer:
1 1/2 or 3/2
Step-by-step explanation:
2 x 3/4
6/4
3/2
1 1/2
What is the slope of the line below?
1. 1/4
2. −1/4
3. 2
4. −2
Answer:
2
Step-by-step explanation:
Answer:
It is number three{ 3) 2 }I hope that is useful for you :)
Solve the following quadratic equation for all values of xx in simplest form.(Solving Quadratics with Square Roots (Level 1)
(x+10)^2-8=8
Hailey is going to paint a wall in her bedroom. The bottom part of the wall is a rectangle (16ft. x 18ft.), and the top part is a triangle (8 ft. high x 18ft. long). What is the total area of the wall?
Answer:
Area of wall = 360 ft²
Step-by-step explanation:
Given:
One part of wall (Rectangle) = 16ft x 18ft
Another part of wall (Triangle) = 8ft x 18ft
Find:
Area of wall
Computation:
Area of wall = Area of rectangle + Area of triangle
Area of wall = (l x b) + (1/2)(b)(h)
Area of wall = (16 x 18) + (1/2)(8)(18)
Area of wall = 288 ft² + 72 ft²
Area of wall = 360 ft²
Kenneth started saving for retirement at age 40 with plans to retire at age 70. He invested an average of $400 per month in various securities, with an average annual return of 7% adjusted for inflation. Assuming monthly compounding, how much has Kenneth saved at the start of retirement.
A. $487,988.40
B. $720,421.84
C. $37,784.31
D. $556,559.8
Answer:
487,988.40
Step-by-step explanation:
I took the test
Mrs. Thomas and Mrs. Maas were folding report cards to send home to parents. The ratio of the number of report cards Mrs. Thomas folded to the number of report cards Mrs. Maas folded is :. At the end of the day, Mrs. Maas folded a total of 273 report cards. How many did Mrs. Thomas fold?
Answer: 182 report cards
Step-by-step explanation:
The ratio of the number of report cards Mrs. Thomas folded to the number of report cards Mrs. Maas folded is 2:3.
Mrs. Maas folded 273 report cards so the number of report cards folded by Mrs. Johnson can be found using direct proportion. Assume Mrs. Johnson folded x report cards:
2 : 3
x : 273
Cross multiply to get:
3x = 546
x = 546 / 3
x = 182 report cards
PLS HELP! DONT SKIP PLS.
Elena borrowed some money from her brother. She pays him back by giving him the same amount every week. The graph shows how much she owes after each week. 1. What is the slope of the line?
2. Is the slope positive or negative?
3. How much money did Elena borrow? (Hint: Vertical Intercept)
Answer:
1. -3
2. negative
3. $18
Step-by-step explanation:
1. slope is rise/run so...
-3/1=-3
2. because run was a change of 3 DOWN the y axis we and run is a change of 1 to the right on x axis we have a negative slope. -3
3. she borrowed $18. Vertical intercept means the point where our line crosses the vertical axis. (Vertical axis is Y axis.)
PLEASEPLEASE ANSWER IM BEGGING JSJDJDJ
Which of the following is true about the sequence graphed below?
Answer:
Step-by-step explanation:
The sequence is arithmetic because the terms have a common difference.
Hopes this helps:)
please help im sorry that it's 4 problems
Answer:
the first 1 in standard form is [tex]y=-2x^{2} +8x-8[/tex]
12. [tex]y=2x^{2} +4x-16[/tex]
13. [tex]y=-3x^{2}+6x+9[/tex]
14.[tex]y=2x^{2} +2x-4[/tex]
Step-by-step explanation:
hope this helps have a good rest of your night/day :) ❤
can I get brainliest please I only have 4 plz
Maggie is rock climbing. After reaching the summit, she descends 14 feet in 213 1 3 minutes. If she continues at this rate, where will Maggie be in relation to the summit after 8 minutes?
Answer:
48 feets
Step-by-step explanation:
Given that:
Maggie descends 14 feets in 2 1/3 minutes
14 feets takes 7/3 minutes
The amount of feets she descends after 8 minutes will be x ;
14 = 7/3
x = 8
Cross multiply
7/3 * x = 14 * 8
7x /3 = 112
7x = 112 * 3
7x = 336
x = 336 / 7
x = 48 feets
A pontoon boat is traveling 25 miles per hour in the direction of S 65° W. If it hits a current traveling at 6 miles per hour in the N 15° W direction, find the resultant vector.
Answer:
resultant vector = 25.2
Step-by-step explanation:
we apply cosine theorem