Answer:
x = 4; y = 3; z = 2
Step-by-step explanation:
3x + 2y + z = 20
x - 4y - z = -10
2x + y + 2z = 15
6x + 4y + 2z = 40
x - 4y - z = -10
-------------------------
7x + z = 30
x - 4y - z = -10
8x + 4y + 8z = 60
----------------------------
9x + 7z = 50
z = 30 - 7x
9x + 7(30 - 7x) = 50
9x + 210 - 49x = 50
-40x = -160
x = 4
z = 30 - 7(4)
z = 2
2x + y + 2z = 15
2(4) + y + 2(2) = 15
y = 3
x = 4; y = 3; z = 2
Find two consecutive positive integers such that the sum of their squares is 761
Answer:
[tex]19^{2} +20^{2}[/tex] is 761
Step-by-step explanation:
Answer:
19 and 20
Step-by-step explanation:
Let the integers be x and x + 1.
According to the question,
x² + (x + 1)² = 761x² + x² + 2x + 1 = 7612x² + 2x - 760 = 0x² + x - 380 = 0x² + 20x - 19x - 380 = 0x(x + 20) - 19(x + 20) = 0(x - 19)(x + 20) = 0x = 19, -20But x is a positive integer⇒ x = 19Therefore, the integers are :
x = 19x + 1 = 20Brainliest?
Find the value of x.
[tex]~~~~~~x + 42^{\circ} + 97^{\circ} =180^{\circ}\\ \\\implies x = 180^{\circ} - 42^{\circ} - 97^{\circ}\\\\\implies x = 41^{\circ}[/tex]
Step-by-step explanation:
or , x + 97° + 42° = 180° ( the sum of interior
angle of triangle is 180° )
or , x + 139° = 180°
or , x = 180° - 139°
x = 41°
Use the graph of f(x) to evaluate the following: 2 1 x 1 IN 2 3 4 5 -1 - 1 6 The average rate of change of f from x = O to L = 2 is 2 Give your answer as an integer or reduced fraction.
no se cómo se hace está operación de verdad lo siento
Please help me find the area for this hexagon (please show work to) ,:)
Check the picture below.
so the area of the hexagon is really just the area of two isosceles trapezoids.
[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ a=2\\ b=4\\ h=2 \end{cases}\implies \begin{array}{llll} A=\cfrac{2(2+4)}{2}\implies A=6 \\\\\\ \stackrel{\textit{twice that much}}{2A = 12} \end{array}[/tex]
can someone tell me the answer
Answer:
A. 9/25
Step-by-step explanation:
There are a total of 25 T-shirts, which means that the denominator of the fraction is going to be 25 (which already rules out B and C). In the information they give us, they said that there are 9 red shirts. Therefore, the numerator will be 9. Our complete fraction is 9/25, or A.
I hope this helps! Have a lovely day!! :)
I can't manage. Can you help? Ty :)
first question is true and second question is 6cm
The perimeter of a triangle is 7 m. The longest side is twice the length of the shortest side. The sum of the
lengths of the shortest side and the middle side is 1 m more than the length of the longest side. Find the
lengths of the sides.
Answer:
See below in bold.
Step-by-step explanation:
Let the length of the shortest side be x, then the longest side = 2x.
Also x + y = 2x + 1 where y = length of the middle side,
Simplifying:
2x - x - y = -1
x - y = -1 (A)
Also as the perimeter = 7:
x + 2x + y = 7
3x + y = 7 (B)
Adding (A) and (B):
4x + 0 = 6
x = 6/4 = 1.5
Plug x = 1.5 into equation B:
3(1.5) + y = 7
y = 7 - 4.5 = 2.5.
Answer:
So the shortest side = 1.5, middle = 2.5 and longest = 2*1.5 = 3.
Which of these graphs has its maximum point on the line x=3
Answer:
The last graph
Step-by-step explanation:
We are given two tips for finding our graph, it has a max point and the point of the line is x = 3. Meaning that this graph must open down and should not go anything further than 3 on the y graph.
The only one that fits this proposition is the last graph. Making it correct.
Answer:
see below
Step-by-step explanation:
To have a maximum, the parabola must be pointing down.
For the maximum to be at x=3, the vertex must have an x value at 3 and the line of symmetry must be 3
Directions: Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numb
For this problem any non-integer answers should be entered as fractions in simplest form using / as the fraction bar(s).
A spinner has five colored sections of different sizes. Felicia spins the arrow on the spinner and records the color of the section it
lands on in the table below.
Complete the statements based on the given table.
The experimental probability of landing on orange is__
The experimental probability of landing on___is 1/5
The experimental probability of landing on a color that is not blue is___
Answer:
1/3, Yellow, 3/4
Step-by-step explanation:
All the numbers add up to 60, so using fractions
Red is 11/60
Green is 2/60
Yellow is 12/60
Blue is 15/60
Orange is 20/60
Finding The probability of w/o blue is subtracting 15 from 60 which ends as 45/60, and simplifying that would be 3/4
Solve the equation below for y
3 ( y + 3 ) = 14
Answer:
y = 3/5
Step-by-step explanation:
3(y+3) = 14
3*y+3*3 = 14
3y+9 = 14
3y = 14-9
3y = 5
y = 3/5
What number must you add to complete the square?
x^2 - 16x = 23
A. -8
B. -64
C. 64
D. 8
Answer:
D
Step-by-step explanation:
Answer:
D. 8
Step-by-step explanation:
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b.
(b/2) ² = (-8)²
Add the term to each side of the equation.
x² - 16x + (-8)² = 23 + (-8)²
Simplify the equation.
Raise -8 to the power of 2.
x² - 16x + 64 = 23 + (-8)²
Simplify 23 - (-8)²
Raise - 8 to the power of 2.
x² - 16x + 64 = 23 + 64
Add 23 and 64
x² - 16x + 64 = 87
Factor the perfect trinomial square into (x-8)²
(x-8)²=87
Solve the equation for x.
Take the square root of each side of the equation to set up the solution for x.
(x-8)²*¹/₂ = ±√87
Remove the perfect root factor x-8 under the radical to solve for x.
x - 8 = ±√87
Remove parentheses.
x - 8 = ±√87
Add 8 to both sides of the equation.
x = ±√87 + 8
The result can be shown in multiple forms.
Exact Form:
x = ±√87 + 8
Decimal Form:
x=17.32737905…,−1.32737905…
A rectangle has a length of 15 cm and a width of 11 cm. What is its perimeter?
54 cm
52 cm
165 cm
26 cm
Answer:
52 cm
Step-by-step explanation:
perimeter = 2(length) + 2(width) for a rectangle.
2(15)+2(11)=52 cm
Answer:
52
Step-by-step explanation:
i got 100% on the quiz i got all the answers
Decide whether it would be more convenient to solve the system of equations by substitution or elimination.
{−2x/3−15y=−6, 10x−6y=−4
Select the correct answer below:
elimination
substitution
Answer:
I would use elimination in this scenario. Because in both equations there is a coefficient on both variables, it would be difficult to isolate one variable and would leave the equation as a fraction. Instead, use elimination. Multiply the first equation by -15, which changes it to 10x + 225y = -90, and then subtract the second equation, thus cancelling out the 10x's and letting you solve for Y. Hope this helps!
What would the answer be?
Answer:
3 2/4
Step-by-step explanation:
1 3/4 + 1 3/4 = 6 2/4
because 3/4 +3/4 = 6/4 = 1 2/4
and 1+1+1 =3
Answer: [tex]3 \frac{1}{2}[/tex]
This is the same as writing 3 & 1/2 to mean "3 and a half".
Check out the diagram below. I've shaded the pizza slices to represent the mixed numbers being added. Notice in the bottom row I've moved one red slice over to make a full pie. Overall we have 3 full pies plus an extra half, when all is said and done.
Larry, a chemistry student, needs 10% acetic acid solution for a chemistry experiment. He realizes he only has 5% and 20% acetic acid solutions available. He decides to make the 10% solution by combining the 5% and 20% solutions. How many liters of the 5% solution must he add to 8 liters of the 20% solution to get a solution that is 10% acetic acid?
a) 16.5
b) 32
c) 16
d) 8.5
e) 24
Mr. Oppong makes monthly payments into his savings account. He saved Gh¢800.00 in the second month, Gh¢3,200.00 in the third month and he continued in tha same proportion in subsequent months. In what month would his savings first exceed Gh¢20,000.00?
Answer:
5th month
Step-by-step explanation:
the relationship between the second and third month is that the 2nd month's salary was multiplied 4 to get the third month's salary
therefore the salaries for the next months will be
4th month=Gh¢12800.00
5th month=Gh¢51,200.00 which exceeds 20,000
The triangle shown below has an area of 16 units^2 squared.
Find the missing length.
x = ______ units
Answer:
8 units
Step-by-step explanation:
Given:
Base = 4 unitsHeight = x unitsArea of triangle = 16 units²Formula:
[tex]\text{Area of triangle:} \ \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]
Substitute the base, height and the area of the triangle to determine the measure of the height (x).
[tex]\implies 16 \ \text{units}^{2} = \ \dfrac{1}{2} \times 4\times x[/tex]
Simplify the right hand side of the equation.
[tex]\implies 16 \ \text{units}^{2} = \ 2\times x[/tex]
Divide both sides by 2 to isolate "x".
[tex]\implies \dfrac{16 \ \text{units} }{2} = \dfrac{2\times x}{2}[/tex]
[tex]\implies 8 \ \text{units} = x[/tex]
The measure of the height (x) is 8 units.
Answer: 8
Step-by-step explanation:
Which of the following options have the same value as 10% of 33?
Choose 3 answers:
A. 0.1 • 0.33
B. 10 • 33
C. 1/10 • 33
D. 0.1 • 33
E. 10/100 • 33
(Please help I need this answer fast)
Answer:
C. 1/10 • 33
D. 0.1 • 33
E. 10/100 • 33
Step-by-step explanation:
Knowing that
10% = 0.1 in decimal form
10% = 1/10 or 10/100 in fraction form
of = multiply
Thus, the following is correct:
C. 1/10 • 33
D. 0.1 • 33
E. 10/100 • 33
We can also solve to find the answer:
10% of 33 = 3.3
0.1 x 0.33 = 0.033
10 x 33 = 330
1/10 x 33 = 3.3
0.1 x 33 = 3.3
10/100 x 33 = 3.3
Hence answer =
C. 1/10 • 33
D. 0.1 • 33
E. 10/100 • 33
[RevyBreeze]
Answer:
C. 1/10 • 33
D. 0.1 • 33
E. 10/100 • 33
Step-by-step explanation:
Before finding the solutions let's first note the following:
Notes :
Of = Multiply
10% ⇒ 0.1 ⇒ 1/10 ⇒ 10/100
Thus, substitute;
C. 1/10 • 33
D. 0.1 • 33
E. 10/100 • 33
Therefore,
C. 1/10 • 33
D. 0.1 • 33
E. 10/100 • 33
are the correct answer.
As well as if you multiply/divide all you will all get 3.3
~lenvy~
PLEASE HELP PLEASE HELP
Answer:
I think line C and L since Jenna's numbers are the same
PLSSSS ANSWER THIS QUESTION FAST
WILL MARK BRAINLIEST
68 square inches
=============================================
Explanation:
Refer to the diagram below.
I'll make the yellow sheet of paper to be 8 by 10, where the horizontal part is 8 and the vertical is 10. The overlapped region has its horizontal part as 8 as well.
The other piece of paper is 8.5 inches by 11 inches. The vertical part of the overlapped region is 8.5 inches.
The overlapped region is a 8.5 inch by 8 inch rectangle with area 8.5*8 = 68 square inches. This makes choice D the final answer.
can somebody help me on this pleaseee
Answer:
B I think or C or D or it could be A
If John had four pizzas and shared them equally to his three friends, how many slices will he have?
Answer:
Is this really college math?
He would have 8 slices of pizza
Step-by-step explanation:
8 * 4 = 32
32 / 4 = 8...
the number of slices John would have after distributing it among his friends.
solution8×4=32
32/4
= 8
John would have 8 slices of pizza.
an effort to make room for new inventory, a college bookstore runs a sale on least popular mathematics books. The sales rate (books sold per day) on day of the sale is predicted to be 60 / t (for t >= 1), where t = 1 corresponds to the beginning of the sale, at which time none of the inventory of 595 books had been sold.
A) Find a formula for the number of books sold up to day t. S(t)=
B) Will the store have sold its inventory of 595 books by day t = 30? “Yes” or “No”
Answer:
The sun, eight plants and some other celestial
Answer:1
Step-by-step explanation:
The sun, eight plants and some other celestial
how do i solve this?
Answer:
33
Step-by-step explanation:
to solve for each triangle remember its 1/2 base times height you have four of those so add those four sides to the area of the square.
key concept: 1/2(Base*Height)
What is the slope of a line parallel to the line with equation 5x−2y=11?
−112
−52
−25
52
Answer: 52
Step-by-step explanation: Using the slope-intercept form, the slope is 52 . All lines that are parallel to y=5x2−112 y = 5 x 2 - 11 2 have the same slope of 52 .
If a student does not like ballet, what is the probability that student also does not like salsa?
like salsa hate salsa total
like ballet 32 42 74
hate ballet 22 4 26
total 54 46 100
if a student does not like ballet (there is 26 that do not like ballet)..what is the probability that the student does not like salsa..of those 26 that do not like ballet, 4 do not like salsa...
4/26 = 0.1538 = 15.38% rounds to 15.4% <=
PLEASE HELP PLEASE HELP PLEASE
Answer:
False
Please make this brianliest so others can learn from this answer
Happy to help :)
Step-by-step explanation:
Find α in degrees. Round to the nearest hundredth
Answer:
α = 29°
Step-by-step explanation:
Given values
Opposite side = √15Adjacent side = 7Missing value
αSolving :
tanα = √15/7α = tan⁻¹ (√15/7)α = 28.8107937 α = 29° (closest value)the circumference of the hub cap of a tire is 79.38 cm. Find the area of this hub cap. use 3.14 for pi
Answer:
ans 19785.719
Step-by-step explanation:
formula πr^2
3 Which list of integers is in order from
greatest to least?
A 24, 9, -33, -24, -11
B-11, -18, -33, 9, 24
C24, 9, -11, -24, -33
D-33, 24, -18, -11, 9. Which one is the answer
