Answer:
28 and 36.
Step-by-step explanation:
Alright, so we are given that the sum of two numbers is 64. Based on this, we know that we are going to be adding because the question said "the sum of two numbers is 64." Sum is the answer to an addition problem. Lets write an equation.
We need a variable, let x be the variable which is the value of the smaller number.
the equation is x+x+8=64
x= to the smaller number
x+8= to the number that is eight more than x or the smaller number.
Before we isolate for x, we need to simplify the expression by combining the like terms.
x plus x equals 2x.
Therefore, we have 2x+8=64.
Our goal is to isolate x, so we need to subtract 8 from both sides. 8 mius 8 is 0, and 64 mius 8 is 56.
Now, we have 2x=56.
We still need to isolate x by dividing both sides by 2. 2 divided by 2 is 1, so we are left with 1x or x. 56 divided by 2 is 28.
x=28.
Great, we found what x or the smaller value is.
Now, we need to find the larger number.
Substitute x as 28 into x+8 to find the number that is 8 more than the smaller number or x. You'll then get 36. If you add 36 and 28, you get 64. Also, 36 is 8 more than 28, so this answer is correct.
Hope this helps!
Which algebraic expression represents the phrase “ the quotient of negative right and the sum of a number and three”?
Answer:
-8 ÷ (x + 3)
Step-by-step explanation:
So quotient means that you're dividing, so put a ÷
Next, it says the dividend, or the part being divided is -8, so now you have this: -8 ÷
Lastly, it says the divisor, or the part doing the dividing, is a quantity equal to the sum of "some number" (we'll use x) and 3. Since the divisor is one quantity collectively, you have to put it in parentheses.
This gives you: (x + 3)
When you put it all together, you get -8 ÷ (x + 3).
This can also be written as a fraction: -8/x+3.
Simplify these expressions. a. 13xyz + 9 + 2xyz + 3 b. 6ab + (–2ab) + 4 + 6 c. 3 + 10x + (–2) + (–3x) d. 2x + 3 + x + 10
Answer:
a) 15xyz +12
b) 4ab +10
c) 7x +1
d) 3x + 13
Step-by-step explanation:
Put the like terms together. Make sure you put the things with higher variable coefficiants first.
Answer:
15[tex]xyz[/tex] + 4[tex]ab[/tex] + [tex]av[/tex] + 3[tex]b[/tex] + 6[tex]c[/tex] + d + 10[tex]x[/tex] + 27
Step-by-step explanation:
Add The Expressions.
A bar graph entitled 2012 Housing Prices has Sales Price (Thousands of dollars) on the x-axis, and 0 to 15 in increments of 5 on the y-axis.A bar graph entitled 2012 Housing Prices has Sales Price (Thousands of dollars) on the x-axis, and 0 to 10 in increments of 5 on the y-axis. These two graphs show the same data. What is different about the two graphs? the vertical scale the horizontal scale the width of intervals the starting values of the intervals
Answer:
The vertical scale (Answer choice: C)
Step-by-step explanation:
Just got the answer correct
I’m stuck on this math problem
Answer:
C.
Step-by-step explanation:
You can eliminate A and B because they square root graphs. You are left with C and D. C is the correct choice because the graph is being reflected across the x-axis, shown by the negative.
Alternatively you can graph each equation on a graphing calc and choose the best answer.
I NEED HELP ASAP PLSSSSSSS
Answer:
[tex]-0.5>-1.25[/tex]
Step-by-step explanation:
The points are -0.5 and -1.25 assuming the space between the lines are all equal. We can make the inequality:
[tex]-0.5>-1.25[/tex]
Using technology, determine the quarterly payment on a 4 year loan of $16,231 at 5.1% compounded quarterly. Round your answer to the nearest cent.
a.
$1,125.69
c.
$1,518.85
b.
$1,127.86
d.
$1,508.31
Please select the best answer from the choices provided
A
B
C
D
Answer:
$1,127.86
Step-by-step explanation:
Step-by-step explanation:
The amortization formula is ...
A = Pr/(1 -(1+r)^-n)
where A is the payment amount, P is the principal amount, r is the interest rate per period, and n is the number of periods.
Here, we have P=$16,231, r=0.051/4=0.01275, n=4·4=16.
So, the payment is ...
A = $16,231·0.01275/(1 -1.01275^-16) = $1,127.86
The quarterly payment amount is $1,127.86.
Click to let others know, how helpful is it
Answer:
Answer is B
Step-by-step explanation:
told me on EDGE
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
2, 1
Step-by-step explanation:
In the sequence, each number is half of the previous number.
So we would multiply by 1/2 or divide by 2 to find the next number.
We can test this with a few numbers:
64*1/2=32
16*1/2=8
So the first missing number is 1/2 of 4.
1/2*4=2
The second missing number is 1/2 of the first missing number.
1/2*2=1
Answer:
2, 1
Explanation:
To solve this problem we must first understand what the pattern is in the sequence. Once we understand the pattern, we can then apply it to the final known term to find the next two terms.
Take a look at the sequence given:
64, 32, 16, 8, 4,...
Let's start by figuring out how they got the second term in the sequence. To do that, identify what basic operation and number must be applied. This will reveal the pattern.
64 - first term
32 - second term
64 ? ? = 32
64 ÷ 2 = 32
So, this means the sequence divides by two to get the next term. Therefore, the pattern should be 'divide two' to get the next term. Just to be sure the pattern we found is correct, apply it to the given sequence.
64, 32, 16, 8, 4,...
64 ÷ 2 = 32
32 ÷ 2 = 16
16 ÷ 2 = 8
8 ÷ 2 = 4
So, since 'dividing three' every time gives us the next term, the pattern is correct.
Finally, let's continue the pattern to find the next two terms.
4 ÷ 2 = 2
2 ÷ 2 = 1
Therefore, the next two terms in the sequence are 2, 1.
Find the slope of the line that passes through (-38, 100) and (-37, 5).
The slope between two points is: (change in Y) / (change in X) .
Slope = (-95) / (1)
Slope = -95
Step-by-step explanation:
[tex](-38, 100) and (-37, 5). \\ x1 = - 38 \\ y1 = 100 \\ x2 = - 37 \\ y2 = 5[/tex]
[tex]m \: = \frac{y2 - y1}{x2 - x1} \\ m \: = \frac{5 - 100}{ - 37 - 38} \\ m = \frac{ - 95}{ - 75} [/tex]
[tex]m = \frac{19}{15} [/tex]
Tonya is 5 feet tall. Which equation below can be used to determine h, Tonya’s height in centimeters if 1 inch is equivalent to 2.54 centimeters?
Answer:
2.54 x 60 = h
h = 152.4
Step-by-step explanation:
5 feet is equal to 152.4 centimeters. Below is an explanation I found on the web explaining this:
To calculate 5 Feet to the corresponding value in Centimeters, multiply the quantity in Feet by 30.48 (the conversion factor). In this case, we should multiply 5 Feet by 30.48 to get the equivalent result in Centimeters:
5 Feet x 30.48 = 152.4 Centimeters
Thus, 5 feet is equivalent to 152.4 centimeters.
Now, assuming this part has been understood, we can move on. I see variables are being used to represent factors here. As stated, h represents Tonya's height in centimeters.
So, knowing the equivalent amount of centimeters in 5 feet we can answer this easily. 1 inch equals 2.54 centimeters according to this problem.
152.4 ÷ 2.54 = 60.
2.54 can go into 152.4 60 times.
2.54 x 60 = h
h = 152.4 aka Tonya's height in centimeters.
Hope this helps!
Complete the table of ordered pairs for the given liners equation
Answer:
Step-by-step explanation:
Given equation of the line is,
y = -x + 1
We will get the output values (y-values) from the given equation for different input values (x-values).
For x = 0,
y = 0 + 1
y = 1
For x = -1,
y = -1 + 1
y = 0
For x = -6,
y = -6 + 1
y = -5
So the table of the ordered pairs will be,
x 0 -1 -6
y 1 0 -5
find the axis of symmetry of this parabola y=-x^2-2x-5 write your answer as an equation
Answer:
axis of symmetry: x=-1
Step-by-step explanation:
The first step in the process for factoring the trinomial x^2-3x-40 is to
(x-8)(x+5)
First thing you do is put the X's into the parentheticals because it is x^2 meaning there are 2 factors with x's. Then, you wonder what factors of -40 could add to get -3. In this case, they are -8 and 5. -8 times 5 is -40 and -8 +5 is -3. Then, you just add -8 and 5 beside the x's in the parentheticals.
Answer:
= (x - 8)(x + 5)
If it is an equation which just means it is equal to zero e.g. x^2 - 3x - 40 = 0
then we would continue and write our x values!
So assuming it was an equation here is the rest of the working:
x - 8 = 0 x + 5 = 0
x = 8 x = -5
x = 8, x = -5
Hope this helped!
Step-by-step explanation:
PLEASE HELP!! 2b/10−b
Answer:-1/4b
Step-by-step explanation:
Solve for x. answers: A) 38 B) 42 C) 45 D) 40
Answer:
x = 40
Step-by-step explanation:
Since these are similar triangles we can use ratios
24-15 x-25
----------- = -----------
24 x
Using cross products
x ( 24-15) = 24 ( x-25)
9x = 24x -600
Subtract 24x from each side
-15x = -600
Divide by -15
-15x/-15 = -600/-15
x =40
any help appreciated will mark brainiest take a look at the screenshot
Answer:
See below.
Step-by-step explanation:
First,looking at the graph, we can pick out (any) two points we can use. I'm going to pick the points (-2,1) and (0,-1).
Use the slope-intercept form: [tex]y=mx+b[/tex]
We already know [tex]b[/tex] since (0,-1) is the y-intercept, so...
[tex]y=mx-1[/tex]
Now, find the slope:
[tex]m=\frac{\Delta y}{\Delta x} =\frac{1-(-1)}{-2-0} =\frac{2}{-2}=-1[/tex]
Thus, the entire equation is:
[tex]y=-x-1[/tex]
x² + 5x = 24, it turns into
(x + a) (x + b) = 0 where a < b
what is a?
what is b?
Answer:
a = -3 and b = 8
Step-by-step explanation:
change it into x² + 5x - 24 = 0
then think two number which:
if we add both off them the result will be +5 and
if we multiply them, the result is -24
so i came with +8 and -3
then the quadratic equation can change form into
(x-3)(x+8) = 0
so a = -3 and b is 8
Answer:
a = -3, b = 8
Step-by-step explanation:
=> [tex]x^2+5x-24=0[/tex]
Using mid-term break formula
=> [tex]x^2+8x-3x-24[/tex] = 0
=> x(x+8)-3(x+8) = 0
=> (x-3)(x+8) = 0
Comparing it with (x+a)(x+b) = 0
We get , a = -3, b = 8
Which system of equations is represented in the graph? On a coordinate plane, a horizontal line is at y = negative 2 and another line goes through (0, negative 3) and (6, 0). y = negative 2. x minus 2 y = 6. y = negative 2. x + 2 y = 3. x = negative 2. 2 x minus y = 3. x = negative 2. 2 x + y = negative 3.
Answer:
(A)y = -2, x-2y =6.
Step-by-step explanation:
On the graph, we have two lines:
y = -2The line that goes through (0, -3) and (6, 0).To determine the equation of the second line, we use the slope-intercept form: y=mx+b
Slope, m
[tex]=\dfrac{0-(-3)}{6-0} \\=3\div 6 \\=\dfrac{1}{2}[/tex]
So we have:
[tex]y=\dfrac{1}{2}x+b[/tex]
When x=0, y=-3
[tex]-3=\dfrac{1}{2}(0)+b\\b=-3[/tex]
Therefore, the second equation is:
[tex]y=\dfrac{1}{2}x-3\\$Multiplying all through by 2, we have:\\2y=x-6[/tex]
Rearranging: x-2y=6
The system of equations that is represented in the graph is:
y = -2. x-2y =6.The correct option is A.
Answer:
A is the answer for edge 2020 please give me brainliest
Step-by-step explanation:
The first term in a sequence of numbers is
Each term after the first term is 1 more than twice its previous term.
What is the 4th term?
A . 4
B. 5
C. 11
D. 23
Answer:
47
Step-by-step explanation: because 23 + 23 = 46 and 46 + 1 = 47
Given the picture below, find x and both angles.
X + 8
3x + 2
A.
X=
B. X+8=
C. 3x+2=
Answer:
x =42.5
x+8 =50.5
3x+2 = 129.5
Step-by-step explanation:
The two angles shown are supplementary, so they add to 180
x+8 + 3x+2 = 180
Combine like terms
4x+10 = 180
Subtract 10
4x = 170
Divide by 4
x =42.5
x+8 = 42.5+8 = 50.5
3x+2 = 3*42.5 +2 = 127.5 +2 = 129.5
Paula is 3 years older than
Lindsey, who is 2 years
younger than Dave. If Paula is
17, how old is Dave?
Answer:
16
Step-by-step explanation:
If Paula is 17, then Lindsey is 17-3 (14). Since Lindsey is 14, Dave is 2+14 (16), so Dave is 16
Answer:
16 years old
Step-by-step explanation:
Let Lindsey's age be x.
Paula's age be x+3
Dave age be x+2
If Paula is 17.
x+3=17
x=14
x+2
(14)+2=16
Dave is 12 years old.
PLEASE HELP ASAP THANKS!
Answer:
answer is 8$ have a great day
Step-by-step explanation: BRAINLIEST PLEASE
The label on the car's antifreeze container claims to protect the car between -40°C and 140°C. To covert Celsius temperature to Fahrenheit temperature, the formula is
c=5/9(F-32). Write a compound Inequality to determine the Fahrenheit temperature range at which the antreze protects the car.
Answer:
I think it's B. 5/9(F -32) < 140
Step-by-step explanation:
Scientist Asterix uses 19 base number system. Which
one is his largest symbol?
A. I
B. J
C. 9
D. P
Answer:
A. I
Step-by-step explanation:
first 10 symbols are digits from 0 to 9
then next 9 symbols are alphabets from A to I
so the largest symbol is I
19 base number system has 19 symbols:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F, G, H, I
The largest symbol is I
Answer:
A. IAB = 6 cm, AC = 12 cm
Calculate the length of CD.
Give your answer to 3 significant figures.
C
12 cm
55°
А
D
B 6 cm
Answer:
12.7 cm
Step-by-step explanation:
Pythagoras theorem
c²=a²+b²
12²=6²+b²
144=36+b²
minus 36 on both sides
108=b²
then square root on both sides
b=10.4
wait I'm not done
then we use the sin rule which is
sinx=O
--
H
so
sin(55)=10.4 over H
cross multiply
10.4 over sin 55 which equals 12.7
The mass of a jar is 750g when it is 1/2 filled with orange juice. The same jar has a mass of 625g when it is 1/4 filled with orange juice. A. What is the mass of the jar when it is 3/4 filled with orange juice? B. What is the mass of the jar when it is empty?
Answer:
1875 g
Step-by-step explanation:
1/4=625g
3/4=x
Then cross multiply
1/4x=625*3/4
1/4x=468.75
Then divide both sides by .25
which is 1,875 grams
Hope it helps a little
SOMEONE PLEASE HELP ME QUICK
(THE ONE I CLICKED IS THE WRONG ANSWER)
Someone please give me the answer with an explanation.
Answer: option 3
PLEASE MARK ME AS BRAINLIEST
Answer:
option c it has rotational symmetry with an angle of rotation 90degree
Step-by-step explanation:
it is a figure shown based on symmetry first 2 option saying a basic answer
and last one is wrong
what is the area of the obtuse triangle given below
Answer:
The answer is A
Step-by-step explanation:
The formula used to find the area of a triangle is 1/2base *height
The base is 16 so half of 16 is 8 then multiply it with the height 8 to get 64.
Area of obtuse triangle is 64 sq. units
What is obtuse triangle?"A triangle whose any one of the angles is an obtuse angle or more than 90 degrees, then it is called obtuse-angled triangle or obtuse triangle."
Given
Base of triangle = 16
Height of triangle = 8
Formula to find the area of obtuse triangle
A = [tex]\frac{1}{2}[/tex] × [tex]base[/tex] × [tex]height[/tex]
A = [tex]\frac{1}{2}[/tex] × [tex]16[/tex] × [tex]8[/tex]
A = 8 × 8
A = 64
Hence, Area of obtuse triangle is 64 sq. units
Learn more about obtuse triangle here
https://brainly.com/question/1581660
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What is the equation of the line?
Answer:
y = -7
Step-by-step explanation:
As the slope is m = 0, that means there is no slope. All values of x in the domain will always output -7. Therefore, your equation would be y = -7.
Answer:
y = -7
Step-by-step explanation:
Use the formula:
y = mx + b
Where m is the slope and b is the y-intercept.
The slope of the equation is equal to 0.
The y-intercept is at (0, -7)
y = (0)x + -7
y = -7
The equation of the line is y = -7.
Find all the interior angle measures of triangle ABC, if m∠A = 3x + 10, m∠B = 5x − 1, and m∠C = x. answers: m∠A = 60°, m∠B = 94°, m∠C = 26° m∠A = 67°, m∠B = 90°, m∠C = 23° m∠A = 67°, m∠B = 94°, m∠C = 19° m∠A = 67°, m∠B = 92°, m∠C = 21°
Answer:
Step-by-step explanation:
Total interior angles in a triangle=180 degrees
That is: 3x + 10 + 5x - 1 + x =180
9x+9=180
9x=180-9
9x=171
x=171/9
x=19
Therefore
Angle A =67 degrees
Angle B= 94 degrees
Angle C = 19 degrees
Please help!!
Find the x.
Answer:
10
Step-by-step explanation:
1. Write an equation to represent the ratio of the sides to the corresponding sides in the second figure.
6/9 = x/15
6 and x are both numerators because they are corresponding sides and 9 and 15 are both numerators because they are corresponding sides.
2. Solve for x.
multiply both sides by 9
6 = 9x/15
multiply both sides by 15
90 = 9x
solve for x by dividing both sides by 9
x = 10
*sorry if the explanation was confusing but I hope you understand with the equation and numbers