Answers
Answer:
x = 19, y = -7, z = -18
Step-by-step explanation:
Since its a rhombus and 1 side = 29, all sides = 29. Just solve each side.
2x - 9 = 29
2x = 38
x = 19
-3y + 8 = 29
-3y = 21
y = -7
-2z - 7 = 29
-2z = 36
z = -18
The value of the variables x, y, and z will be 19, -7, and -18, respectively.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
All the sides of the rhombus are congruent with each other.
Then the equations are given below.
2x - 9 = 29
-3y + 8 = 29
-2z - 7 = 29
Simplify the first equation, then we have
2x - 9 = 29
2x = 38
x = 19
Simplify the second equation, then we have
-3y + 8 = 29
3y = - 21
y = -7
Simplify the third equation, then we have
-2z - 7 = 29
2z = - 36
z = - 18
The value of the variables x, y, and z will be 19, -7, and -18, respectively.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Related Questions
Write a system of equations to describe the situation below, solve using elimination, and fill in
the blanks.
The manager at a community pool is looking over receipts. On a certain Monday, the pool had
16 children and 42 adults, which brought in $142. That same week on Tuesday, 24 children
and 26 adults came to the pool, which brought in $102. What are the admission prices for
children and adults?
Answers
Answer: Child is $1 and Adult is $3, per person.
Step-by-step explanation:
We have two unknowns, so we need at least two equations. Let C and A stand for the price of a ticket for a child and an adult, respectively.
The income for Monday and Tuesday can be calculated:
Monday: 16C + 42A = $142
Tuesday: 24C + 26A = $102
Rearrange the second equation to isolate one of the variables. I'll pick C:
24C + 26A = $102
C = ($102 - 26A)/24
Now use this expression for C in the first equation
16C + 42A = $142
16(($102 - 26A)/24) + 42A = $142
16(($102 - 26A)/24) + 42A = $142
(1632 - 416A)/24 + 42A = $142
(68 - 17.3333A + 42A = $142
24.6667A = 74
A = 3 [The price of an adult pool admission is $3]
Use this value in either equation to find the price of a child's admission:
24C + 26A = $102
24C + 26*($3) = $102
24C = 102 - 78
C = $1 [The price of a child's admission to the pool is $1]
Check to see if these prices satisfy both equations:
Monday: 16C + 42A = $142
Tuesday: 24C + 26A = $102
---
Monday: 16*(1) + 42*(3) = $142 ? YES
Tuesday: 24*(1) + 26*(3) = $102 ? YES
Child is $1 and Adult is $3, per person.
4) If foxes to deer are in a 1:3 ratio, then if there are 112 deer, how many foxes would there be?
Please help this is due tomorrow and I can’t think straight :((
Answers
if f(x) = 2x-7 and g(x)= x2-5, find g[f(5)]
Answers
Answer:
4x-12
Step-by-step explanation:
2x-5[2x-7(5)}=2x+2x-7-5
4x-12
negative integers are added to each other
1. 2(5)-7, plug in 5 into f(x)
2. The answer for f(x) is 3
3. (3)^2-5, plug in the answer of g(x)
4. Get your result!
Pls help as I will give a 5 star rating thanks!!!!! :)
Answers
Answer:
Scale is 1/2
Step-by-step explanation:
5*1/2=5/2
12*1/2=6
write the equation in slo
pe intercept form -1=-2x+y
Answers
Answer:
y = -2x - 1
Step-by-step explanation:
Put y on the left and everything else on the right
please help ASAP! What is the area of this figure?
Answers
Answer:
The answer is 75ft. Hope this helps.
IMPORTANT QUESTION: If i have 464 assignments to do, and want to get it done in 130 days how many assignments should I do a day?
Answers
Answer:
4 assignments per day.
Step-by-step explanation:
Since you have 464 assignments, and 130 days, then you can divide.464/130 = 3 37/65Since you have a fraction, you can round it to 4 assignments.Answer:
3 .
Step-by-step explanation:
464 / 130
it’s not exactly like this,
if Im wrong!
A group of friends wants to go to the amusement park. They have $180.50 to spend on parking and admission. Parking is $19.50, and tickets cost $23 per person, including tax. Write and solve an equation which can be used to determine pp, the number of people who can go to the amusement park.
equation:
answer p:
Answers
a.
The required equation is 23p + 19.50 = 180.50
Let p represent the number of people who can go to the amusement park.
Since the ticket costs $23 per person, the total amount paid for ticket is rate × number of person = $23 × p = 23p.
Since we pay $19.50 for parking, the total amount spent is T = 23p + 19.50
Since the total amount equals $180.50. T = 180.50
So, 23p + 19.50 = 180.50
The required equation is 23p + 19.50 = 180.50
b.
Solving 23p + 19.50 = 180.50, we have
23p = 180.50 - 19.50
23p = 161
p = 161/23
p = 7
So, the number of people who can go to the amusement park is 7.
Learn more about linear equations here:
https://brainly.com/question/24307397
Help please
I provided screenshots of the problem below.
Answers
Answer:
This is the graph of a sine function
The y-intercept of the graph is the function value y=0
The smallest positive x-intercept of the graph is located at x=pi/2
The greatest value of y is y=2
For x between x=-pi and x=pi/2, the function value y=>0
Step-by-step explanation:
Let f(x)=root2x. If the rate of change of f at x=c is four times its rate of change at x=1 then c=?
Answers
Answer:
[tex]c=\frac{1}{16}[/tex]
Step-by-step explanation:
[tex]f(x)=\sqrt{2x}[/tex]
[tex]f'(x)=\frac{\sqrt{2x}}{2x}[/tex]
[tex]f'(1)=\frac{\sqrt{2}}{2}[/tex]
[tex]f'(c)=\frac{\sqrt{2c}}{2c}[/tex]
[tex]f'(c)=4f'(1)[/tex]
[tex]\frac{\sqrt{2c}}{2c}=4(\frac{\sqrt{2}}{2})[/tex]
[tex]\frac{\sqrt{2c}}{2c}=2\sqrt{2}[/tex]
[tex]\sqrt{2c}=4c\sqrt{2}[/tex]
[tex]2c=32c^2[/tex]
[tex]2=32c[/tex]
[tex]\frac{1}{16}=c[/tex]
Can someone please help?
Answers
Answer:
Well a midpoint makes the cutter segment or Line in exactly in half. So the two lines cutted are equal. In this case t is the midpoint. PT and TQ are equal. So you have two expressions, make then equal to each other since they are congruent.
6x+4=8x-8
12=2x
x=6
Now PT is 6x+4
So we subsitute x for 6 since x=6
6*6+4
40
PT is 40
Find a pair of positive integers for and b in these questions
18 + 65 = 1865
23 + 7 = 2314
Answers
Answer:
a=100
b=1
Step-by-step explanation:
18a+65b=1865
23a+7b=2314
We need to make one of the variables equal to the other
So...
The LCM for 65 and 7 is 455
So multiply 7 with 18a+65b=1865
and Multiply 65 with 23a+7b=2314
7 times 18a+65b=1865 is 126a+455b=13055
65 times 23a+7b=2314 is 1495a+455b=150410
So Subtract 126a+455b=13055 and 1495a+455b=150410
So 1369a=137355
Divide:
Which is about 100 (The actual value is 100.3323594)
Thus a=100
Substitute:
b=1
Hope this helps!
(The answer is rounded)
Please help 10 points
Answers
The question gives away that she had earned more last week than this week. So the result has to be greater than £80.
If we solve for a,
a - 10 = 80
Add 10 to both sides, we get a = 90
The answer is a - 10 = 80
(3-5i)^2
i know the answer I’m just confused on how to get to that point. Please and thank you!
Answers
[tex](3-5i)^2\\\\=3^2-2(3)(5i) + (5i)^2\\\\=9-30i +25i^2\\\\=9-30i +25(-1)~~~~;[i^2=-1]\\\\=9-30i-25\\\\=-16-30i[/tex]
Bus route A arrives at its stop every 15 minutes. Bus route B arrives at its stop across the street every 30 minutes. If both buses are currently arriving at their stops, how many hours will pass before both buses arrive at the same time?
Answers
Answer:
2 stops, 30 min
Step-by-step explanation:
to figure this out we have to divide B's time by A's time. 30÷15 is 2.
A girl plays the same computer game lots of times.
The computer scores each game using 1 for the win, 0 for lose.
After each game, the computer calculates her overall mean score.
The graph shows the results for the first 20 games.
What percentage of the 20 games did the girl win?
Answers
Answer: 45%
From my common sense
If the graph line goes up, she wins.
If the graph line goes down, she loses.
1. Count the amounts of times which the graph line goes up.
(btw the first game she won because the graph line started at 1)
= 9
2. Calculate the winrate of her 20 games
= 9/20 * 100
= 45%
Match the sentences below to the correct vocabulary word.
rational number
1. A decimal that ends in zero is a —
2. 0.7 is a __
terminating decimal
3. Ifx is not a rational number, it must be a(n) —
repeating decimal
irrational number
4. x is a terminating decimal, so it must also be a
Answers
Answer:
1) terminating decimal
2) 0.7 is a terminating decimal
3) a non-terminating, non-repeating decimal
4) a rational number
Step-by-step explanation:
Multiply. −5/6⋅27
A. −67 1/2
B. −32 1/4
C.−22 1/2
D.−18 1/2
Answers
answer in standard form PLEASE.
Answers
0.9 x 10^4
Let’s break this down into steps.
So to start off with, you need to do 4.5/5 which = 0.9.
Now we can deal with the indices. 10^-3 / 10^-7 means we have to subtract them. Therefore, -3 - -7 = 4. Altogether, we have 0.9 x 10^4
The question states we should leave our answer in standard form.
So our answer is 0.9 x 10^4.
please help me asap
ty..
Answers
Answer:
Y = 10x + 20
Step-by-step explanation:
sorry if im wrong
Answer:
y = 2x - 4
Step-by-step explanation:
10x - 5y = 20
Subtract 10x both sides
-5y = 20 + (-10x)
Divide by -5
y = -4 + 2x
y = 2x + (-4)
Please help I’ll mark brainliest!!!
Answers
Answer:
B
Step-by-step explanation:
As x gets bigger or smaller, y approaches negative infinity
solve -7(4-x) + 4 is greater than or equal to -18 + 7x
Answers
Answer:
-7(4-x)≥-18+7x
-28+7x≥-18+7x
7x-7x≥-18+28
x≥10
Step-by-step explanation:
What is the distance between (7, 1) and (-4, -5)?
Answers
Answer:
The distance between [tex](7,1)[/tex] and [tex](-4,-5)[/tex] is [tex]\sqrt{157}[/tex] units
Step-by-step explanation:
Use the distance formula [tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex] where [tex]d[/tex] is the positive distance between [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]:
[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
[tex]d=\sqrt{(-5-1)^2+(-4-7)^2}[/tex]
[tex]d=\sqrt{(-6)^2+(-11)^2}[/tex]
[tex]d=\sqrt{36+121}[/tex]
[tex]d=\sqrt{157}[/tex]
Therefore, the distance between [tex](7,1)[/tex] and [tex](-4,-5)[/tex] is [tex]\sqrt{157}[/tex] units
Answer: The distance between (7,1), and (-4, -5) is 12.53.
What is the name give to the angle pair 3 and 5?
Answers
which ratio is equivalent to 4:10? Choose ALL the equivalent ratios from i-ready
Answers
Answer:
2:5 is the simplified form.
Step-by-step explanation:
4:10 => 4/10 => 2/5=> 2:5Conclusion:
Therefore, the simplified form of 4:10 is 2:5.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Answer:
2:5 and 12:30
I hope this helps!
From: Aug1e
Use the information given to answer the question. An office supply store has 1,508cases of paper and
736
boxes of pens. Each case of paper contains
24
packs of paper, and each box of pens contains
50 pens.
Part A
How many packs of paper does the office supply store have?
36,192 packs of paper
36 , 192 packs of paper
36,432 packs of paper
36 , 432 packs of paper
37,700 packs of paper
37 , 700 packs of paper
37,750 packs of paper
Answers
An online furniture store sells chairs and tables. Each day, the store can ship at most 55 pieces of furniture. Write an inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint.
Answers
Answer:
t+c ≤ 55
Step-by-step explanation:
t+c is the total pieces of furniture and it must be at most (less than or equal to) 55 so t+c ≤ 55 is the equality that represents the possible values.
Is this triangle a right triangle? Explain.
Answers
Answer:
hmm
Step-by-step explanation:
I can't see any triangle there..a right angled triangle is meant to look like this
Given m=-2/3, b=-7 give the point in slope form, slope intercept form, standard form, ;general form. HELP IS NEED ASAP PLEASE!!!
Answers
Answer:
Step-by-step explanation:
m=-2/3
b=-7
First, find the slope-intercept form.
y=mx+b
You know what the m and b values are, so simply plug them into the equation.
Slope-Intercept Form
y=-2/3x-7
From there, let's find the point-slope equation.
An easy way to find a coordinate point that the line crosses is to set one of the x or y variables equal to 0.
So let's set the x to 0.
y=-2/3x-7
y=-2/3(0)-7
y=-7
Therefore, when x is 0, y is equal to -7. We can now write our point. (0,-7)
Use the point-slope formula to write the point-slope equation.
y-y1=m(x-x1)
Point-Slope Equation
y-(-7)=-2/3(x-0)
Now, to find the standard form equation, let's find it using our slope-intercept equation. The formula to find standard form is
ax+by=c
y=-2/3x-7
Standard Form Equation
2/3x+y=-7
anybody help please again •_•
Answers
Answer:
i am not to sure but i think its 5/13 or 5/40