Answer:
51 and -27
Step-by-step explanation:
The sum of two numbers is 24 and their difference is 78. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.
The sum of x and y is 24. In other words, x plus y equals 24 and can be written as equation A:
x + y = 24
The difference between x and y is 78. In other words, x minus y equals 78 and can be written as equation B:
x - y = 78
Now solve equation B for x to get the revised equation B:
x - y = 78
x = 78 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 24
78 + y + y = 24
78 + 2y = 24
2y = -54
y = -27
Now we know y is -27. Which means that we can substitute y for -27 in equation A and solve for x:
x + y = 24
x + -27 = 24
X = 51
Summary: The sum of two numbers is 24 and their difference is 78. What are the two numbers? Answer: 51 and -27 as proven here:
Sum: 51 + -27 = 24
Difference: 51 - -27 = 78
Answer:
The numbers are 27 and 51
Explanation
x - y = 24
x + y = 78
Add together the equations
2x = 102
x = 51
Put into equation
51 - y = 24
27 = y
phrases can be used to represent the inequality 6.5x+ 1.5 s 21? Select two options. The product of 6.5 and the sum of a number and 1.5 is no more than 21. The sum of 1.5 and the product of 6.5 and a number is no greater than 21. O The product of 6.5 and a number, when increased by 1.5, is below 21. The product of 6.5 and a number, when increased by 1.5, is at most 21. The sum of 1.5 and the product of 6.5 and a number is at least 21. Save and Exit Net Mark this and return
This question is incomplete
Complete Question
Phrases can be used to represent the inequality 6.5x+ 1.5 ≤ 21? Select two options. The product of 6.5 and the sum of a number and 1.5 is no more than 21. The sum of 1.5 and the product of 6.5 and a number is no greater than 21. O The product of 6.5 and a number, when increased by 1.5, is below 21. The sum of 1.5 and the product of 6.5 and a number is at least 21.
Answer:
The product of 6.5 and a number, when increased by 1.5, is at most 21.
The product of 6.5 and a number, when increased by 1.5, is below 21.
Step-by-step explanation:
We are given the inequality is: 6.5x+ 1.5 ≤ 21
The sign ≤ is known as Less than or equal to.
≤ can also be said to be = at most
Therefore, the Phrases that represents the inequality
6.5x+ 1.5 ≤ 21 is:
* The product of 6.5 and a number, when increased by 1.5, is at most 21.
* The product of 6.5 and a number, when increased by 1.5, is below 21.
Answer:
b and c
Step-by-step explanation:
Which math expression means "the sum of 270 and 180"?
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Sum means to add so answer A is correct
2. Two rectangular fields with identical shapes and areas are to be fenced side by side. The total area enclosed is 8mi^2 and the perimeter for all the fencing is 16 miles. Find the possible dimensions of one of the fields (2 possible answers).
Step-by-step explanation:
Let length is x and breadth is y.
The formula for the area and the perimeter of a rectangle is given by :
A = xy
P = 2(x+y)
Here, A = 8 mi² and P = 16 miles
Putting all the values,
xy = 8
y=8/x ......(1)
2(x+y) = 16
x+y = 8 .....(2)
Put equation (2) in equation (1) as follows :
[tex]x+\dfrac{8}{x}=8\\\\x^2+8=8x\\\\x^2-8x+8=0[/tex]
When we solve, we get :
x = 6.82 miles, 1.17 miles
Put the value of x in equation (1)
When x = 6.82 miles,
y = 8/6.82
y = 1.17 miles
When x = 1.17 miles,
y = 8/1.17
y = 6.82 miles
Hence, the dimension of the field is 6.82 miles and 1.17 miles.
whats the LCM of 5 and 60?
g(x)= 3x-5
h(x)=2/2x+3
write h(g(x)) as an expression terms of x
Answer: h(g(x))= 2/6x-7
Step-by-step explanation:
1.h(g(x))= 2/(g(x))+3
2.g(x)= 3x-5
h(g(x))= 2/2(3x-5)+3
=2/6x-10+3
=2/6x-7
Write the expression as a single multiplication sentence without
parentheses.
11 × (15 + 5)
Answer:
11x20
Step-by-step explanation:
15=5 equals 20 so 11x20 is 220
I had $3
My ma gave me$10
My uncle n auntie gave me $20
My grandpa gave me $100
I still had $6 more
How much did i have before this??
Answer:
133 bucks can i get brainliest
Step-by-step explanation:
i need help, can you please help me?
Answer:
Y= 2/4x + -3
Step-by-step explanation:
Pleaseeee helpppp !!!!!!!! Will mark Brianliest !!!!!!!!!!!!
Answer:
∠ JHF = 69°
Step-by-step explanation:
Since HJ is a midline then it is parallel to EG , thus
∠ JHF and ∠ GEH are corresponding and congruent, then
7x + 62 = 79 - 10x ( add 10x to both sides )
17x + 62 = 79 ( subtract 62 from both sides )
17x = 17 ( divide both sides by 17 )
x = 1
Thus
∠ JHF = 7x + 62 = 7(1) + 62 = 7 + 62 = 69°
Answer:
7x + 62 = 180
7x= 180 - 62
x = 118 / 7
x = 16
7 × x = 7 × 16
112 + 62 = 174
Step-by-step explanation:
HOPE ITS CORRECT..
A meerkat was digging a new path to get to his home 8 ft below the surface. He hit a stump and dug 15 ft lower so the roots would not be in his path. What elevation is the meerkat?
Answer:
The elevation is [tex]32.3^{o}[/tex].
Step-by-step explanation:
The home of the meerkat is 8 feet below the surface. So that the root of the stump would not be in his path, he dug 15 feet lower.
This can be represented by the sides of a right angled triangle. Applying the appropriate trigonometric function, let the elevation be represented by θ.
Then,
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
= [tex]\frac{8}{15}[/tex]
Sin θ = 0.5333
⇒ θ = [tex]Sin^{-1}[/tex] 0.5333
= 32.287
θ = [tex]32.3^{o}[/tex]
The elevation of the meerkat is [tex]32.3^{o}[/tex].
Which expression is equivalent to the one below?
3(10+)
-5
1
4
-5
8
5+
1
8
1
-5+
4
Answer: 1 and 5 ?
i'm so confused o-o
Step-by-step explanation: i have no idea what i'm doing i just picked a random answer, i'm very sorry if i'm wrong :c
Answer:
Do you have a picture, I can answer you faster?
The students at Southern Junior High School are divided into four homerooms. Benjamin just moved into the school district and will be randomly assigned to one homeroom.
Which methods can be used to simulate this situation? Select three options..
Flip a coin 4 times, once for each homeroom, with heads up representing being assigned to the homeroom represented by that flip.
Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.
Use a random number generator with 1, 2, and 12 representing the first homeroom, 7, 9, and 10 representing the second homeroom, 3, 8, and 11 representing the third homeroom, and 4, 5, and 6 representing the fourth homeroom.
Roll a number cube with 1 representing the first homeroom, 2 representing the second homeroom, 3 representing the third homeroom, and any other outcome representing the fourth homeroom.
Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.
will give 100 points for answer it'd better be correct though
Answer:
Step-by-step explanation:
Roll a number cube with 1 representing the first homeroom, 2 representing the second homeroom, 3 representing the third homeroom, and any other outcome representing the fourth homeroom.
Flip a coin 4 times, once for each homeroom, with heads up representing being assigned to the homeroom represented by that flip.
Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.
Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.
Answer:
B. Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.
C. Use a random number generator with 1, 2, and 12 representing the first homeroom, 7, 9, and 10 representing the second homeroom, 3, 8, and 11 representing the third homeroom, and 4, 5, and 6 representing the fourth homeroom.
E. Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.
Step-by-step explanation:
I just did the test and got this correct.
(please mark brainliest)
Have a good day!
To get system B, the
equation. The solution to system B
equation in system A was replaced by the sum of that equation and
v times the
v the same as the solution to system A
Answer:
This is confusing what are you looking for?
Step-by-step explanation:
Which algebraic expression has like terms?
9n7 - 2n+3-4112
7 + 3n-3-672
7n+4n-3m-6n?
612 -4n4+6n-5772
Answer:
the answer is 612 -4n4+6n-5772
The expression that has like terms is (C) 7n+4n-3m-6n.
What is an expression?An expression can be as simple as a single number or variable, or it can be more complex, involving multiple operations and variables.
For example, the expression "3x + 4" contains the variable x, along with the constant values 3 and 4, and the operations of multiplication and addition.
Like terms are terms that have the same variables raised to the same powers.
In the first expression, 9n^7 and -2n have different powers of n, so they are not like terms. The constant term, -4112, is also not like any other term.
In the second expression, 3n and -3 are like terms, as they are both constants with no variables.
In the third expression, 7n, 4n, and -6n are all like terms because they all have the same variable, n, raised to the first power.
In the fourth expression, -4n^4 and 6n have different powers of n, so they are not like terms. The constant term, 612-5772=-5160, is also not like any other term.
Therefore, the expression that has like terms is (C) 7n+4n-3m-6n.
To know more about an expression follow
https://brainly.com/question/12517367
#SPJ7
PLEASE HELP!!!!!!!What has to be true if you want to solve a quadratic?
Answer:
Here you go
Step-by-step explanation:
The quadratic formula helps you solve quadratic equations, and is probably one of the top five formulas in math. Then the formula will help you find the roots of a quadratic equation, i.e. the values of x where this equation is solved.
which system of inequalities is shown in the graph?
A)
[tex]y \leqslant 5 \: \: and \: \: y \geqslant 3x - 2[/tex]
B)
[tex]y > 5 \: \: and \: \: y < 2x - 3[/tex]
C)
[tex]y > 5 \: \: and \: \: y \geqslant 2x - 3[/tex]
D)
[tex]y \leqslant 5 \: \: and \: \: y > 3x - 2[/tex]
Answer:
sry I can't understand how to do this question
What did the pig say when the farmer pulled it by the tail
Answer:
Without me you will surely die. Too much of me and like a pig you may lie. What am I?
Step-by-step explanation:
Oink Oink That ain't my tail im a male
how do u add really big fractions
Answer:
It depends on your situation
Step-by-step explanation:
If you have a mixed fraction, for example: 5 23/3000 + 101 777/3000 you would have to make them irrational numbers and add them. Like so: 3000x5 = 15000. 15000+23 = 15023. 15023/3000. Same process but this time you get 303777/3000. You then add the numerators (top numbers) and you'll get the sum over 3000.
For regular fractions you simply add the numerators. If your denominators are not the same, you need to find a common term that both can fit into. If the denominators are not the same, no matter the size of the fraction, you cannot add it.
if x2=18x+y and y2=18y+x, then find the value of root
Answer:
[tex]\sqrt{x^2+y^2+1}=18[/tex]
Step-by-step explanation:
We are given:
[tex]x^2=18x+y\qquad\qquad[1][/tex]
[tex]y^2=18y+x\qquad\qquad[2][/tex]
Subtracting [1] and [2]:
[tex]x^2-y^2=18x+y-(18y+x)[/tex]
Operating:
[tex]x^2-y^2=18x+y-18y-x[/tex]
Recall:
[tex]x^2-y^2=(x-y)(x+y)[/tex]
Substituting:
[tex](x-y)(x+y)=18x+y-18y-x[/tex]
Rearranging:
[tex](x-y)(x+y)=18x-18y-(x-y)[/tex]
[tex](x-y)(x+y)=18(x-y)-(x-y)[/tex]
Dividing by x-y (recall x≠y):
[tex]x+y=18-1=17[/tex]
[tex]x+y=17\qquad[3][/tex]
Now we add [1] and [2]:
[tex]x^2+y^2=18x+y+18y+x[/tex]
Rearranging:
[tex]x^2+y^2=18x+18y+x+y[/tex]
[tex]x^2+y^2=18(x+y)+(x+y)[/tex]
[tex]x^2+y^2=19(x+y)[/tex]
Substituting from [3]
[tex]x^2+y^2=19*17=323[/tex]
Adding 1:
[tex]x^2+y^2+1=324[/tex]
Taking the square root:
[tex]\sqrt{x^2+y^2+1}=\sqrt{324}=18[/tex]
Thus:
[tex]\mathbf{\sqrt{x^2+y^2+1}=18}[/tex]
Please look at the picture I’m timed !!
Answer:
[tex]k = 2.5[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
[tex]\frac{7.6}{2} = \frac{9.5}{k}[/tex]
Step 2: Solve for k
Cross-multiply: [tex]7.6k = 2(9.5)[/tex]Multiply: [tex]7.6k = 19[/tex]Isolate k: [tex]k = 2.5[/tex]Answer:
The answer is K+2.5
Step-by-step explanation:
7 + 2 (a -3) = -9
What is the answer do this?
Answer:
7+2(a-3)=-9
a= -5
Step-by-step explanation:
7+2(a-3)=-9
Distribute 2 through the parentheses
Example: 7+2a-6=-9
Next: 7+2a-6=-9
Subtract the numbers
1+2a=-9
Move constant to the right hand side and change its sighn 2a=-9-1
2a=-9-1
Calculate the difference
2a=-10
Divide both sides of the equation by 2
Answer: a=- -5
For values of x when x + 0, which number property is shown below?
17x () = 172
O associative
0 commutative
O multiplicative identity
division property of zero
1
What is the solution to the system of linear equations graphed here?
A (0,2)
B (-2,-4)
C) No Solution
D) (-2,2)
Answer:
The solution is (-2,2)
Answer:
A) (0,2)
Step-by-step explanation:
0.2A^{1-1}
0.2A^{0} .
0.2\times 1
=0.2
Determine and state whether quadrilateral ABCD is a parallelogram.
Plzzz helpp!!!
PLS HELP ASAP!!!!!!!!!!!!!!
Answer:
okay, but with what should i help?
Can you help me with this
Answer with what
Step-by-step explanation:
Which equation matches the graph?
In the xy graph, the range of the x axis is zero to four by increment of one. The range of y axis is zero to eight by increment of one. On both axes every alternate tick mark is labeled. On the graph, there is a line passing through the points (2, 2) and (0, 8).
Answer:
[tex]y = -3x +8[/tex]
Step-by-step explanation:
The graph diagram is not given; however, the equation can be solved from the given points
(2,2) and (0,8)
This is represented as:
[tex](x_1,y_1) = (2,2)[/tex]
[tex](x_2,y_2) = (0,8)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{8 - 2}{0 - 2}[/tex]
[tex]m = \frac{6}{- 2}[/tex]
[tex]m =-3[/tex]
The equation is calculated using:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 2 = -3(x - 2)[/tex]
[tex]y - 2 = -3x + 6[/tex]
Add 2 to both sides
[tex]y - 2 +2= -3x + 6+2[/tex]
[tex]y = -3x + 6+2[/tex]
[tex]y = -3x +8[/tex]
use a proportion to find the length of side x for the pair of similar figures
Answer:
30.8
Step-by-step explanation:
1. Write the ratio for the smaller triangle as 14/10 and the ratio for the larger triangle as x/22.
2. Set the ratios equal to each other.
14/10 = x/22
3. Cross multiply and solve for x.
14 x 22 = 308
10 x x = 10x
4. Divide by 10
x = 30.8
Answer:
30.8cm they are correct
Step-by-step explanation:
i am from connexus 8th grd pre algrabra
unit 5 lesson 3
1. 1:2
2. C. yes they are similar they have porportional side lengths and = ange measures
3. x = 4.5m
4. x = 30.8cm
5. x = 6 m
PLEASE I NEED HELP
Enter in the missing numbers to create equivalent ratios.
Answer:
The table with the missing number
1 5
2 10
5 25
10 50
Step-by-step explanation:
The form of the equivalent ratios is [tex]\frac{a}{b}[/tex] = [tex]\frac{c}{d}[/tex] , where a, b, c, and d are integers
From the given table, we will use the first row in all cases (a = 1 and c = 5)
∵ a = 1 and b = 2
∵ c = 5
→ By using the form of the equivalent ratios above
∴ [tex]\frac{1}{2}[/tex] = [tex]\frac{5}{d}[/tex]
→ By using the cross multiplication
∵ 1 × d = 2 × 5
∴ d = 10
∴ The first missing is 10
∵ a = 1
∵ c = 5 and d = 25
→ By using the form of the equivalent ratios above
∴ [tex]\frac{1}{b}[/tex] = [tex]\frac{5}{25}[/tex]
→ By using the cross multiplication
∵ 5 × b = 1 × 25
∴ 5b = 25
→ Divide both sides by 5
∴ b = 5
∴ The second missing is 5
∵ a = 1 and b = 10
∵ c = 5
→ By using the form of the equivalent ratios above
∴ [tex]\frac{1}{10}[/tex] = [tex]\frac{5}{d}[/tex]
→ By using the cross multiplication
∵ 1 × d = 10 × 5
∴ d = 50
∴ The third missing is 50
∴ The equivalent ratios are [tex]\frac{1}{5}[/tex] = [tex]\frac{2}{10}[/tex] = [tex]\frac{5}{25}[/tex] = [tex]\frac{10}{50}[/tex]
The table with the missing numbers
1 5
2 10
5 25
10 50
Assume the average child weighs 40 pounds at age 3. Assume the
average child weighs 70 pounds at age 6. What is the average number of
pounds the child gains per year between ages 3 and 6?
Answer:
10 i think
Step-by-step explanation:
Answer: 10 pounds per year
The given unit rate is 30 pounds every 3 years.
Now, we will divide 30 pounds by 3 years.
30 pounds ÷ 3 years = 10 pounds per year
The answer is 10 pounds per year.