use the set of clues in the equations below to find the value of each variable .
x + h + b = 14
2 * b = 12
h - x = 2
please help me out thank you!
Answers
2b = 12; divide 2 on both sides to get b = 6
h - x = 2; add x to both sides to get h = (2 + x)
Plug this stuff into the first equation to solve for x. Once we solve for x, we can plug that x value into the equation for h. Because you can see we didn’t get an actual numerical value for h. So:
x + (2+x) + 6 = 14
Subtract 6 from both sides and distribute that plus sign to get rid of the parenthesis. Then combine the like terms to get:
2x + 2 = 8
Subtract 2 from both sides and divide by 2 to get x = 3
Finally plug it into the equation for h:
h = 2+3 = 5
Related Questions
Solve: 16 + x = 12 then you can get the brainiest.
Answers
Shirley Garcia is a restaurant supplies salesperson and receives 8% of her total sales as commission. Her sales totalled $15,000 during a given week. Find her commission.
Answers
Answer:
8% of $15,000 = .08 × $15,000 = $1,200
one quarter of the number of protractors, how many if I buy 65 items, how many protractors does Ms. Zentz buy?
Answers
Ms. Zentz would buy 17 protractors if she buys one quarter of the 65 items.
If you buy 65 items and one quarter of them are protractors, then the number of protractors you buy can be calculated as:
Number of protractors = 65 x 1/4
Number of protractors = 16.25
Since you cannot buy a fractional part of a protractor, you would need to round the answer to the nearest whole number. In this case, you would round up to 17 protractors.
Therefore, Ms. Zentz would buy 17 protractors if she buys one quarter of the 65 items.
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According to the property , which choice is equivalent to the quotient below?3577 35 A.5B.C.D.-5E.25
Answers
Answer:
Option A is the right answer mate...
Options for all the three boxes are:neither student, Becky and Laura
Answers
The parent cosine function is given to be:
\(f(x)=\cos (x)\)The graph of this function is shown below:
Laura's Function:
Laura's function is given to be horizontally compressed by a factor of 1/3 and reflected over the x-axis.
The rule for horizontal compression by a factor of 1/a is given to be:
\(f(x)\Rightarrow f(\frac{1}{a}\cdot x)\)and the rule for reflection over the x-axis is given to be:
\(f(x)\Rightarrow-f(x)\)Therefore, Laura's function will be:
\(f(x)=-\cos (3x)\)The graph of the function will be:
Becky's Function:
Becky's function is given to be:
\(f\mleft(x\mright)=3\cos \mleft(x-\pi\mright)\)The graph is given to be:
ANSWERS:
BECKY's GRAPH is the FIRST GRAPH
The SECOND GRAPH belongs to NEITHER
LAURA's GRAPH is the THIRD GRAPH
Here is five number cards
Answers
Answer:
Thank you
Step-by-step explanation:
PLS LOOK AT PHOTO
HELPPP ASAP!!!
[6 11 -47
1
-5
6 8 -5
3 -9 6
Match each value to the correct entry in matrix AB.
[5 7
54
A = 4 -1
27
23
and B= 2
Answers
The matrix is 3 × 3 square matrix . Its values are:
\(a_{11} = 50 \\ a_{12} = 44 \\a_{13} = -43 \\a_{21} = 31 \\a_{22} = 16 \\a_{23} = 7 \\a_{31} = 37 \\a_{32} = 119 \\a_{33} = 94\)
Given,
Matrix A and Matrix B
Now,
According to matrix multiplication rule first row of one matrix will be multiplied with first column of second matrix if the columns in first matrix is equal to the rows of second matrix.
So,
Apply multiplication rule,
\(a_{11} = 30 + 14 + 6 = 50 \\ a_{12} = 55 + 7 - 18 = 44 \\a_{13} = -20 -35 + 12 = -43 \\a_{21} = 24 - 2 + 9 = 31 \\a_{22} = 44 -1 -27 = 16 \\a_{23} = -16 + 5 + 18 = 7 \\a_{31} = 36 + 16 - 15 = 37 \\a_{32} = 66 + 8 + 45 = 119 \\a_{33} = -24 -40 -30 = -94\)
Thus the values of the matrix can be calculated.
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11. Kamala borrowed 26400 from a bank to buy a scooter at a rate of 15% per annum compounded yearly. What amount will she pay at the end of 2 years and 4 months to clear the loan? at
please answer fastly
Answers
Amount (A) = P[1 + (r/100)]n
Principal (P) = ₹ 26400
Time period (n) = 2 years 4 months
Rate % (R) = 15% compounded annually
StepsFirst, we will calculate Compound Interest (C.I) for the period of 2 years
A = P[1 + (r/100)]n
= 26400[1 + (15/100)]²
= 26400[(100/100) + (15/100)]²
= 26400 × 115/100 × 115/100
= 26400 × 23/20 × 23/20
= 26400 × 1.3225
= 34914
C.I. = A - P
= 34914 - 26400
= 8514
Now, we will find Simple Interest (S.I) for the period of 4 months
Principal for 4 months after C.I. for 2 years = ₹ 34,914
We know that ,S.I = PRT/100
Here T = 4 months = 4/12 years = 1/3 years
S.I. for 4 months = (1/3) × 34914 × (15/100)
= (1/3) × 34914 × (3/20)
= 34914/20
= 1745.70
Total interest for 2 years 4 months = 8514 + 1745.70
= 10259.70
Total amount for 2 years 4 months = 26400 + 10259.70
= ₹ 36659.70
So , the correct answer is ₹ 36659.70 .Write the sentence as an equation.
106 more than the quantity 68 times y is the same as 36 decreased by y
Answers
Answer: 68y+106=36-y
the following data shows the scores Gina obtained on 12 IQ tests
Answers
To solve the exercise it is advisable to first order the data from smallest to largest. So,
\(74,74,83,83,83,86,87,90,92,93,93,94\)The median is found like this
\(\begin{gathered} \text{ If the number of observations (n) is even} \\ Me=\frac{x_{\frac{n}{2}}+x_{\frac{n}{2}+1}}{2} \end{gathered}\)In this case, the median will be the average of the sixth and seventh data
\(\begin{gathered} Me=\frac{x_6+x_7}{2} \\ Me=\frac{86+87}{2} \\ Me=86.5 \end{gathered}\)On the other hand, in a box plot you have
In other words, the boxplot of the statement shows that the median of the data set is 88.5 and that is false because doing the calculation we get that the median of the data set 86.5.
Therefore, the correct answer is 1) Median, because it is shown incorrectly in the box plot.
8 divided by 576 equals
Answers
to keep it simple 0.014
to keep it long but sort of simple
0.0138888888888889
Answer:
0.0138, 8 is repeating
Step-by-step explanation:
The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answers
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.
Hector saved $726 in 6 months. he saved the same amount each month. How much did hector save each month? I don’t have the answer and I don’t get it !
Answers
Answer:
He saved $121
Step-by-step explanation:
All you have to do is divide $726/6 which gives you $121.
Hope this helps!
Simplify 8 over 56 fraction
Answers
Answer:
Therefore, 8/56 simplified to lowest terms is 1/7.
Step-by-step explanation:
brainliest plzzzzzz
Which of the
following represents
this graph?
A. y = (x+11
B. y = |x-1|
c. y = xl-1
D. y = |x|+1
Answers
Answer:
A. y=|x+1|
Step-by-step explanation:
what I like to use when figuring these out(mainly for homework) is a website called Desmos. You basically just plug in whatever equation/expression in and it will graph it for you. My Algebra teacher even allows me to. So all I did was plug in each equation until it matched the graph presented. Hope this helps!
The equation represented by the graph is y=|x+1|
How to determine the equation?The equation is an absolute value graph
The parent function of an absolute value graph is:
y = |x|
The above function is shifted to the left by 1 unit.
This transformation is represented by y=|x+1|
Hence, the equation represented by the graph is y=|x+1|
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Determine the surface area and volume. Note: The base is a square.
Answers
Answer:
volume=60cm3, surface area=96cm2
Step-by-step explanation:
volume=1/3×(6×6)×5
=60cm3
surface area= 4(1/2×6×5)+(6×6)
=96cm2
The sea surface temperatures range from -2°C to 31°C. Find the difference between the maximum.
Answers
Answer:
33 degrees
Step-by-step explanation:
31-(-2)=33
What are the coordinates of the point on the directed line segment from ( − 7 , 9 ) (−7,9) to ( 3 , − 1 ) (3,−1) that partitions the segment into a ratio of 2 to 3?
Answers
The coordinates of the point on the directed line segment from (-7, 9) to (3, -1) that partitions the segment into a ratio of 2 to 3 are (-3, 5).
To find the coordinates of the point that divides the directed line segment from (-7, 9) to (3, -1) into a ratio of 2 to 3, we can use the section formula.
Let's label the coordinates of the desired point as (x, y). According to the section formula, the x-coordinate of the point is given by:
x = (2 * 3 + 3 * (-7)) / (2 + 3) = (6 - 21) / 5 = -15 / 5 = -3
Similarly, the y-coordinate of the point is given by:
y = (2 * (-1) + 3 * 9) / (2 + 3) = (-2 + 27) / 5 = 25 / 5 = 5
Therefore, the coordinates of the point that divides the line segment in a ratio of 2 to 3 are (-3, 5).
To understand this conceptually, consider the line segment as a distance from the starting point (-7, 9) to the ending point (3, -1). The ratio of 2 to 3 means that the desired point is two-thirds of the way from the starting point and one-third of the way from the ending point. By calculating the x and y coordinates using the section formula, we find that the desired point is located at (-3, 5).
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i need you to answer my question please here it is −11+23×(−12)+4÷18
Answers
Answer:
-18.5
Step-by-step explanation:
what is twenty multiplier by
five
Answers
20+20+20+20+20=100
f(x) = a(x - h)² + k.
f(x) = 3x² + 6x + 2.
Answers
Answer:
f(x) = 3(x + 1)² - 1a = 3, h = - 1, k = - 1
Step-by-step explanation:
It is assumed you need to convert the given function into vertex form.
Converting in below steps:
f(x) = 3x² + 6x + 2 = 3(x² + 2x) + 2 = 3(x² + 2x + 1) - 3 + 2 = 3(x + 1)² - 1We got:
a = 3, h = - 1, k = - 1Help me please slove the points plotted below of the polynomial.
Answers
Answer:
ud9jsbz9Bwud9hh9ivudjbh7xobsve9e
Drawing a number divisible by 3 then drawing a 1
Answers
Answer:
Step-by-step explanation:
The probability of drawing a number that is divisible by 3 is 1/3, since there are 3 numbers (3, 6, and 9) out of the 9 possible numbers (1, 2, 3, 4, 5, 6, 7, 8, and 9) that are divisible by 3.
The probability of drawing a 1 after drawing a number that is divisible by 3 is 1/10, since there is only one 1 among the 10 possible digits (0-9) that could be drawn after the first number.
To find the probability of both events happening together (drawing a number divisible by 3 and then drawing a 1), we need to multiply the probability of the first event by the probability of the second event. Therefore, the probability of drawing a number divisible by 3 and then drawing a 1 is:
(1/3) x (1/10) = 1/30
So the probability of drawing a number divisible by 3 and then drawing a 1 is 1/30, or approximately 0.0333, or about 3.33%
Answer:
If I understand this correctly you can draw a 9 and then draw the one if I'm wrong just delete this
Step-by-step explanation:
Given that a+b = 10 and a square - b square = 40 find the value of a-b
Answers
Answer:
the value of a - b is 4.
Step-by-step explanation:
We have been given the following two equations:
a + b = 10 ------------(1)
a² - b² = 40 -------(2)
We can factor the left-hand side of equation (2) using the difference of squares identity:
(a + b)(a - b) = 40
Substituting equation (1) into this equation, we get:
10(a - b) = 40
Dividing both sides by 10, we get:
a - b = 4
Therefore, the value of a - b is 4.
Step-by-step explanation:
if I understand this correctly :
a + b = 10
a² - b² = 40
(a² - b²) = (a + b)(a - b) = 40
10(a - b) = 40
(a - b) = 4
a triangle has ___ , ___ and ____ .
Use an appropriate modification of the law of cosines to find the angle in degrees. assign the result to q4.
Answers
A triangle has three sides, three angles, and three vertices (also known as corners).
What is a Triangle?A triangle is a geometric shape that consists of three line segments that connect three non-collinear points.
Each of these line segments is called a side of the triangle. The three points where these sides meet are called the vertices (singular: vertex) of the triangle.
The triangle also has three interior angles formed by its sides. These angles are located inside the triangle, and their sum is always equal to 180 degrees.
In summary, a triangle is defined by its three sides, three angles, and three vertices.
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Mathematics word problem
Answers
75 miles per hour is the rate of train.
what is the formula of speed?Formula of speed = distance/time
let,
s1 , speed of A train = s
s2, Speed of B train = s
t1, time of travel for train A = 2.5h
t2, time of travel for train B = 4 h
d1, distance traveled by train A
distance travel by train A = speed*time
= s1*t1
d2, distance traveled by train B
distance travel by train A = speed*time
= s2*t2
Total distance between station A and station B = 562.5 mi
d1+d2=562.5 mi
s1t1+s2t2=562.5
s(2.5)+s(4)=562.5
6.5 s = 562.5
s = 562.5/6.5
s = 86.5 mph
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75 miles per hour is the rate of the train.
what is the rate of the train?Given:
Train A and Train B leave a central station at the same time.They travel at the same speed, but in opposite directions, with train A heading towards station A.Train B heading towards station B.Train A reaches station A after 2 and 1/2 hours.Train B reaches station B after 4 hours.Station A and Station B are 585 mi apart.Find:
Rate of the trains.Solution:
Formula of speed = distance/time
Let us consider
Speed of A train(s1) = s
Speed of B train(s2) = s
Time of travel for train A(t1) = 2.5h
Time of travel for train B(t2) = 4 h
Distance traveled by train A(d1)
= speed*time
= s1*t1
Distance traveled by train B(d2)
= speed*time
= s2*t2
The total distance between station A and station B = 562.5 mi
d1+d2=562.5 mi
s1t1+s2t2=562.5
s(2.5)+s(4)=562.5
6.5 s = 562.5
s = 562.5/6.5
s = 86.5 mph
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The points on the graph represent both an exponential function and a linear function.
Complete this table by reading the values from the graph. Estimate any function values that are less than one.
x -3 -2 -1 0 1 2 3
Exponential function _____ _____ _____ _____ _____ _____ _____
Linear function _____ _____ _____ _____ _____ _____ _____
At approximately what values of x do both the linear and exponential functions have the same value for y?
Answers
We are given two curves on a graph paper and we have to find the y values for the given x.
From the graph we can check for a value of x, what is the value of y from the curve.
x -3 -2 -1 0 1 2 3
Exp 8 4 2 1 0.5 0.25 0.125
Lin. 7.5 6 4.5 3 1.5 0 -1.5
We find that the two have the same values where the two curves intersect.
From the graph we find that near to -3 and near to 2 both have the same values.
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The missing graph is attached below.
Translate the sentence into an equation. The quotient of a number and 8 is 16. What is the solution to the equation? One-half 2 128 164
Answers
Answer:
128
Step-by-step explanation:
I did the math
Answer:
it's 2 :)
Step-by-step explanation:
quotient is a term used in division so you divide
16 divided by 8 is 2 <3
don't forget to say thanks if you got it right ! :)
Find the length of the arc.
A. 539π/12 km
B. 9π/3 km
C. 9π/2 km
D. 18π km
Answers
Answer:
b because it is I found out cus I took test
The length of the arc 9π/2 km.
The answer is option C.9π/2 km.
What is the arc of the circle?
The arc period of a circle can be calculated with the radius and relevant perspective using the arc period method.
⇒angle= arc/radius
⇒ 135°=arc/6km
⇒ arc =135°*6km
⇒arc=135°*π/180° * 6km
⇒arc = 9π/2 km
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Determine whether the lines are parallel, perpendicular, or neither. Line 1. 4y+x=8 Line 2. 12y+3x=1
Answers
Answer:
Step-by-step explanation:
4y = -x + 8
y = -1/4x + 2
12y = -3x + 2
y = -1/4x + 1/6
parallel