One number is 6 less than 5 times the other number. Their sum is 60. Find the numbers.
Answer:
The numbers are 11 and 49.
Step-by-step explanation:
x = 5y - 6 This is just the first sentence written as an equation.
x + y = 60 This is just the second sentence written as an equation.
5y - 6 + y = 60 Substitute x for what you know it is equal to
6y - 6 = 60 Collect like terms
6y = 66 Add 6 to each side
y = 11 Divide each side by 6
x = 5 × 11 - 6 Substitute y for what you know it is
x = 55 - 6 Simplify by working out 5 × 11 = 55
x = 49 Subtract 6 from 55 to get 49
what is the square root of 4.84
Answer:
2.2. Hope it helps :D
Can Someone Answer this question??
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
460, 451,442
Find the 37th term.
Answer:
37th term = -136
Step-by-step explanation:
Given:
Series;
460, 451 ,442
First term a = 460
Common difference D = 451 - 460 = -9
Find:
37th term
Computation:
37th term = a + 36D
37th term = 460 + 36(-9)
37th term = -136
Answer:
136
Step-by-step explanation:
Arithmetic Sequence.
Common Difference:
451−460=−9
442−451=−9
d=−9
Explicit Formula:
a{n}=a{1}+(n-1)d
a{37}=460+(36)(-9)
a{37}=136
=136
(Got it right on DeltaMath
The ages, in years, of a group of students are given in the box. Work out the mode.11 11 12 13 13 14 15 15 15 15
Explanation:
The mode is the most frequent value. We see that "15" shows up a total of 4 times, which is the most of the the unique values {11, 12, 13, 14, 15}.
Find the area of this trapezoid. Be sure to include the correct unit in your answer.
Answer:
Step-by-step explanation:
Area=[tex]\frac{(6+16)9}{2}[/tex]
=99 yd²
65°
(х + 72)
i need help with x
Answer:
65x+4680
Step-by-step explanation:
5 examples of theorems in math. :")
Jennifer and Ashley went to the store. Jennifer bought 1.2
pounds of apples. Ashley bought 0.75 pound of grapes. How
many pounds of fruit did they buy in all? Make sure to write your equation to receive credit.
Answer:
1.2+0.75=1.95 pounds
Step-by-step explanation:
James cut out four parallelograms, the dimensions of which are shown below. Parallelogram 1 length: 12 in. width: 15 in. diagonal: 20 in. Parallelogram 2 length: 16 in. width: 30 in. diagonal: 34 in. Parallelogram 3 length: 20 in. width: 21 in. diagonal: 29 in. Parallelogram 4 length: 18 in. width: 20 in. diagonal: 26 in. James put the parallelograms together so one vertex from each paper exists on a point, as shown in the circle. 4 parallelograms are put together so that one vertex from each paper exists on a point. Which statement explains whether or not the parallelgrams can be put together so each occupies one-quarter of the area of the circle without overlapping any other pieces? Check all that apply.
Answer:
B. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 1 do not form right angles.
E. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 4 do not form right angles.
Step-by-step explanation:
P1: 12^2+15^2=20^2 144+225=400 369=400
P2: 16^2+30^2=34^2 256+900=1156 1156=1156
P3: 20^2+21^2=29^2 400+441=841 841=841
P4: 18^2+20^2=26^2 324+400=676 724=676
So the answers are B and E
Answer:
b and e
Step-by-step explanation:
Please answer the pictures provided
Answer:
-6-3
Step-by-step explanation:
Describe the differences in the graphs of linear functions vs. exponential functions.
A. Linear functions have a constant slope, while exponential functions start flat and get steeper.
B. Linear functions cross the y-axis above exponential functions.
C. Linear functions slope down, while exponential functions slope up.
D. There is no
differhoice.
I’ll give brainiest
Answer:
It's A.
(Just finished the quiz) <3
The differences in the graphs of linear functions vs. exponential functions
is, A. Linear functions have a constant slope, while exponential functions start flat and get steeper.
What is a linear equation?An equation of degree one is known as a linear equation.
A linear equation of two variables can be represented by ax + by = c.
A function is an exponential function when the exponent is the variable.
The difference between a linear function and an exponential function is,
while exponential functions begin flat and gradually steepen, linear functions have a constant slope.
learn more about exponential functions here :
https://brainly.com/question/12260956
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8 + 3n ≥ 38 do yall know??? solve please
Answer:
n ≥ 10
Step-by-step explanation:
Given
8 + 3n ≥ 38 ( subtract 8 from both sides )
3n ≥ 30 ( divide both sides by 3 )
n ≥ 10
Another name for a cube is
A. dodecahedron
B. hexahedron
C. icosahedron
D. tetrahedron
please help
Answer:
B
Step-by-step explanation:
Evaluate 10m + n²/4 when m=5 and n=4
Answer:
16.5
Step-by-step explanation:
Break down the equation:
10*5=50
4 with an exponent of 2= 16
Then you have: 50+16 / 4
You can simplify it to 66/4
Finally, divide 66 by 4 which equals 16.5
Hope this helps!
Show that the line 3y = 7 + 5x is perpendicular to the line 5y = 4 - 3x.
Answer:
Proven Below
Step-by-step explanation:
If we rearrange these equations, we get that 3y = 5x + 7 and that 5y = -3x + 4. Next, to find what y equals on both equations, we divide by 3 on both sides of the first equation, where we would get that y = 5/3x + 7/3, and then divide by 5 on both sides of the second equation, where we would get that y = -3/5x + 4/5. Now, to see if two lines are perpendicular to each other, we have to see if the slopes (The number being multiplied by x. Ex.) In the equation y = 3/4x + 4, the slope is 3/4) are opposite reciprocals (If you multiply them and they are equal to -1. Ex.) 3/4 * -4/3 is equal to -1, so they are opposite reciprocals). In this case, we have -3/5 and 5/3 as slopes, and -3/5 * 5/3 is equal to -1, so they are perpendicular.
Answer:
The slope of the first line is 5/3
The slope for the second one is -3/5
If you multiply the 2 slope you have to end up with - 1
So 5/3*(-3/5)=-15/15 which is - 1
So yes the lines are perpenducular
Select the equivalent expression.
3-5 = ?
Which whole numbers does the square root of 69 falls in between?
find the binomial which is a common factor of:-
plz ans it fast...
Step-by-step explanation:
step 1. why are you in a hurry?
step 2. a binomial that is a common factor of 121 - 25x^2 and 25x^2 + 55x + 121.
step 3. the factors. of 121 - 25x^2 are (11 - 5x)(11 + 5x).
step 4. the factors of 25x^2 + 55x + 121 are (5x + 11)(5x + 11).
step 5. the common factor is 5x + 11.
How do I know if it is sss, sad, asa, or aas?
i have attached a image which may help u <3
(5x-8)
+
(2x+19)
Find the value of x.
OA.5
B.7
C.9
D.11
Answer:
x=9 option C
Step-by-step explanation:
explanation above
Please mark me as brainlist
The graph shows the number of each size T-shirt a store currently has in stock. Which statements are true?
Choose exactly two answers that are correct.
Question 3 options:
The ratio of large to small T-shirts is about 4 to 1.
There are more than 35 small and extra small T-shirts.
There are about twice as many large T-shirts as small T-shirts.
There are fewer than 100 T-shirts in all.
Answer:
medium, extra large
Step-by-step explanation:
BRAINLIEST PLEASE
The surface area of a rectangular prism is increased by a factor of 16.
By what factor is the volume of the figure increased?
O4
O 8
O 32
O 64
Answer:
C. 32
Explanation:
The square-cube law states that "When an object undergoes a proportional increase in size, its new surface area is proportional to the square of the multiplier and its new volume is proportional to the cube of the multiplier." This means that if the surface area of the cube is increased by a certain amount, the volume of the cube will increase by the cube of that.
Please give Brainliest
Works Cited:
https://en.wikipedia.org/wiki/Square%E2%80%93cube_law#:~:text=The%20square%E2%80%93cube%20law%20can,the%20cube%20of%20the%20multiplier.
The solution is, the volume of the figure increased by factor C. 32 , when The surface area of a rectangular prism is increased by a factor of 16.
What is scale factor?A scale factor is when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor. Maps use scale factors to represent the distance between two places accurately.
here, we have,
The square-cube law states that "When an object undergoes a proportional increase in size,
its new surface area is proportional to the square of the multiplier and its new volume is proportional to the cube of the multiplier.
" This means that if the surface area of the cube is increased by a certain amount, the volume of the cube will increase by the cube of that.
Hence, The solution is, the volume of the figure increased by factor C. 32 , when The surface area of a rectangular prism is increased by a factor of 16.
To learn more on scale factor click:
brainly.com/question/5992872
#SPJ7
Helia invested 4000 AED for 3 years with a compound interest rate of 1.5%, Calculate the worth of her investment at the end of this time period
Do the ratios 20/10 and 4/2 form a proportion? Yes or no
Answer:yes
Step-by-step explanation:they are equal
On Monday ,bo saw 1/5 of birds listed in his guidebook. on Tuesday he saw 3/5 more of birds. what fraction of the birds in the guidebook did bo see in those two days ?
Answer:
4/5Step-by-step explanation:
That would be 1/5 + 3/5 which equals (1+3)/5 = 4/5
Una pirámide de base cuadrada se corta con un plano paralelo a la base por la mitad de la altura de la pirámide, obteniendo una pirámide más pequeña y un tronco de pirámide. ¿Cuántas veces es más grande el volumen del tronco con respecto al volumen de la pirámide pequeña?
Answer: what does this say?
Step-by-step explanation:
Which group contains triangles that are similar for brainliest
Answer:
its the second one of course
Step-by-step explanation: plz mark brainliest
Answer:A
Step-by-step explanation:
Because yes
Look at the arithmetic sequence below and select the correct recursive and explicit formula for the sequence.
-1, 3, 7, 11...
Recursive Formula: Response area
Explicit Formula:
Answer:
+4 each time
Step-by-step explanation:
Halppppppppppppppppppp
Answer:
Yes
Step-by-step explanation:
[tex]y\leq 3x+9\\\\8\leq 3(7)+9\\\\8\leq 21+9\\\\8\leq 30[/tex]
Yes, the given point makes the inequality true. We end up with a true statement.
Hope this helps.
Find the zeros 7x(x-11)-2(x-11)=0
(x-11)(7x-2)=0
x=11 or x=2/7
Answer:
x = [tex]\frac{2}{7}[/tex], x = 11
Step-by-step explanation:
Given
7x(x - 11) - 2(x - 11) = 0 ← factor out (x - 11) from each term
(x - 11)(7x - 2) = 0
Equate each factor to zero and solve for x
x - 11 = 0 ⇒ x = 11
7x - 2 = 0 ⇒ 7x = 2 ⇒ x = [tex]\frac{2}{7}[/tex]