Answer: (12, 5)
Step-by-step explanation:
3x + 2y = 46 x + y = 17
Subtract y from both sides of the equation.
x = 17 − y 3x + 2y = 46
Replace all occurrences of x with 17 − y in each equation.
51 − y = 46
x = 17 − y
Solve for y in the first equation.
Move all terms not containing y to the right side of the equation.
Subtract 51 from both sides of the equation.
−y = 46 − 51
x = 17 − y
Subtract 51 from 46.
−y = −5
x = 17 − y
Multiply each term in −y = −5 by −1
Multiply each term in −y = −5 by −1. (−y) ⋅ −1 = (−5) ⋅ −1
x = 17 − y
Multiply (−y) ⋅ −1.
y = (−5) ⋅ −1
x = 17 − y
Multiply −5 by −1.
y = 5
x = 17 − y
Replace all occurrences of y with 5 in each equation.
Replace all occurrences of y in x = 17 − y with 5. x = 17 − (5)
y = 5
Simplify 17 − (5).
Multiply −1 by 5.
x = 17 − 5
y = 5
Subtract 5 from 17.
x = 12
y = 5
The solution to the system is the complete set of ordered pairs that are valid solutions.
(12, 5)
The result can be shown in multiple forms.
Point Form: (12, 5)
Equation Form: x = 12, y = 5
Can y’all Plz help me ??(Show ya work) It Says What Value of X makes this equation true
Answer:
[tex]0.6x - 0.1x = 7 + 5 \\ 0.5x = 12 \\ x = \frac{12}{0.5} = 24[/tex]
Wyatt has 32 marbles in his collection. Twenty of his marbles are red, four are blue, and the
rest are green. What part of Wyatt's marbles are red?
Answer:
6 and 2/5
Step-by-step explanation:
20% of 32 is 6.4
Which shows the following expression after the negative exponents have been eliminated?
A^3 b^-2/ab^-4
A=/0, b=/0
Answer:
[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{2}b^{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{a^3b^{-2}}{ab^{-4}}[/tex]
[tex]a\ne 0; b \ne 0[/tex]
Required
Evaluate
[tex]\frac{a^3b^{-2}}{ab^{-4}}[/tex]
Apply the following law of indices:
[tex]\frac{x^m}{x^n} = x^{m-n}[/tex]
So, the expression becomes:
[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{3-1}b^{-2-(-4)}[/tex]
Remove brackets
[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{3-1}b^{-2+4}[/tex]
[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{2}b^{2}[/tex]
Answer:
D. a^3 b^4 / ab^2
Step-by-step explanation:
helpppppppppppp...plsss
Answer:
c=72
Step-by-step explanation:
8
=
9
8
⋅
8
=
8
⋅
9
Answer:
91
Step-by-step explanation:
For questions like these, you multiply the denominator times what it equals
Like in this case you do 8x9
I hope this helps!
Emma made a scale model of the Sam Houston's monument. The monument's actual height is 67 ft tall. Emma is using a scale where 1 inch is 10 ft. What is the height of Emma's model?
Answer: 6.7inch
Step-by-step explanation:
From the question, we are informed that Emma made a scale model of the Sam Houston's monument and that the monument's actual height is 67 ft tall but Emma is using a scale where 1 inch is 10 ft.
The height of Emma's model will therefore be 67ft divided by 10 since he's using a scale of 1:10. This will be:
= 67/10
= 6.7inch
Part C Find the values for a and b. Explain or show your reasoning. Answer Part D What is the y-coordinate when x = 0? Explain or show your reasoning. Answer
Answer:
(a)
[tex]b = 6[/tex] and [tex]a = 5[/tex]
(b) [tex]x = 1[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (2,2)[/tex]
[tex](x_2,y_2) = (4,b)[/tex]
[tex](x_3,y_3) = (a,8)[/tex]
[tex](x_4,y_4) = (6,10)[/tex]
See attachment
Solving (a): The values of a and b
First, calculate the slope of the line:
[tex]m = \frac{y_c - y_d}{x_c - x_d}[/tex]
Let c = 4 and d = 1
[tex]m = \frac{y_4 - y_1}{x_4 - x_1}[/tex]
So, we have:
[tex]m = \frac{10 - 2}{6 - 2}[/tex]
[tex]m = \frac{8}{4}[/tex]
[tex]m = 2[/tex]
To solve for the value of b, we apply slope formula
[tex]\frac{y_c - y_d}{x_c - x_d} = m[/tex]
Let c = 2 and d = 1
So, we have:
[tex]\frac{y_2 - y_1}{x_2 - x_1} = m[/tex]
Substitute 2 for m and [tex](x_1,y_1) = (2,2)[/tex] ; [tex](x_2,y_2) = (4,b)[/tex]
[tex]\frac{b - 2}{2} = 2[/tex]
Multiply both sides by 2
[tex]2 * \frac{b - 2}{2} = 2 * 2[/tex]
[tex]b - 2 = 4[/tex]
Add 2 to both sides
[tex]b - 2 +2= 4 + 2[/tex]
[tex]b = 6[/tex]
To solve for the value of a, we apply slope formula
[tex]\frac{y_c - y_d}{x_c - x_d} = m[/tex]
Let c = 3 and d = 1
[tex]\frac{y_3 - y_1}{x_3 - x_1} = m[/tex]
Substitute 2 for m and [tex](x_1,y_1) = (2,2)[/tex] ; [tex](x_3,y_3) = (a,8)[/tex]
[tex]\frac{8 - 2}{a- 2} = 2[/tex]
[tex]\frac{6}{a- 2} = 2[/tex]
Cross Multiply
[tex]2(a-2) = 6[/tex]
Open bracket
[tex]2a-4 = 6[/tex]
Add 4 to both sides
[tex]2a-4+4 = 6+4[/tex]
[tex]2a= 10[/tex]
Divide both sides by 2
[tex]a = 5[/tex]
Solving (b): The value of y when x = 0.
This point is represented as: [tex](x_5,y_5) = (x,0)[/tex]
Apply slope formula
[tex]\frac{y_5 - y_1}{x_5 - x_1} = m[/tex]
Substitute 2 for m and [tex](x_1,y_1) = (2,2)[/tex] [tex](x_5,y_5) = (x,0)[/tex]
[tex]\frac{0 - 2}{x - 2} = 2[/tex]
[tex]\frac{- 2}{x - 2} = 2[/tex]
[tex]-\frac{2}{x - 2} = 2[/tex]
Cross Multiply
[tex]-2 = 2 * (x - 2)[/tex]
[tex]-2 = 2 x - 4[/tex]
Collect Like Terms
[tex]4 - 2 = 2x[/tex]
[tex]2 = 2x[/tex]
Divide both sides by 2
[tex]1 = x[/tex]
[tex]x = 1[/tex]
An initial population of 30 rabbits doubles each year for 6 years what is the rabbit population after 6 years?
Answer:
1920
Step-by-step explanation:
Each time you multiply by to 6 times. 30 does not count as a year.
Find AC.
Round to the nearest tenth.
B
86°
16
С
11
A
Answer:
19.4
Step-by-step explanation:
16^2+11^2=377
then square 377 which will equal to
19.416 which can be rounded up to 19.4
Which one is equivalent? Answer needed ASAP!!
Will mark Brainliest!!
Answer:
-5÷17, -5/17, 5/-17
Step-by-step explanation:
Answer:
-5/17, 5/(-17), 5/-17 (sorry if they're wrong i'm doing my homework at the same time.)
Step-by-step explanation:
Help please due now!!
Answer:
60
Step-by-step explanation:
Answer:
Step-by-step explanation:
a = 2 ; b = 4
4a + 2b² - 2(a -3b) = 4*2 + 2(4)² - 2 (2 - 3*4)
= 4*2 + 2*16 - 2(2 -12)
= 4*2 + 2*16 - 2* (-10)
= 8 + 32 + 20
= 60
Mariah is training for the marathon. Today she ran 12 miles for 1 hour and 30 minutes . If the relationship between her distance covered and the number of minutes is proportional, write an equation that Mariah can use to represent the proportional relationship between her distance ( d ) and her time ( t).
Answer:
d= 8 t
Step-by-step explanation:
In 1 hour 30 minutes it ran for 12 miles.
So, time t =1.5 hours(Because 1 hour 30 minutes)
distance d =12
We know distance d= rate 'r' * time 't'.
So, using given information , find the rate
12= r *1.5
Divide both sides by 1.5
8=r
So, equation would be d =8 t.
Where 't' is in hours.
Divide £128 in the ratio 1:3
Answer:
£32 : £96
Step-by-step explanation:
add the parts of the ratio, 1 + 3 = 4 parts
Divide the amount by 4 to find the value of one part of the ratio
£128 ÷ 4 = £32 ← value of 1 part of the ratio, then
3 parts = 3 × £32 = £96
£128 in the ratio 1 : 3 is £32 : £96
The amount, £128 when divided in the ratio 1:3 is; £32: £96.
RatiosWe are required to divide in the ratio 1:3;
Therefore, we must divide the total by (1+3); so that we have;
128/4= 32.Therefore, each unit is £32 and 3× £32 = £96.
The amount, £128 when divided in the ratio 1:3 is therefore; £32: £96.
Read more on Ratios;
https://brainly.com/question/13513438
Mr. Cooper wet to the market looking to purchase some fried chicken meals to bring home for
dinner. In the Prepared Foods section of the market, fried chicken meals were on special $19 for 4
meals. Mr. Cooper needs 6 fried chicken meals to feed everyone at home. How much will it cost Mr.
Cooper to purchase fried chicken meals for his family?
Answer:
I don't believe there is enough information to answer the question.
Step-by-step explanation:
Either Mr. Cooper buys two 4 for 19$ specials for 38$ and has two left over, or he buys one special and then buys two individual fried chicken meals. The question does not tell us how much an individual chicken meal costs.
Answer:
$28.50
Step-by-step explanation:
19/4=4.75
4.75•6=28.50
what is 246 588 rounded to the ten thousands place
9514 1404 393
Answer:
250,000
Step-by-step explanation:
The thousands digit is more than 4, so the ten-thousands digit is increased by 1 before digits to its right are replaced by zeros. The rounded number is ...
250,000
what is it plz ????????????
Solve for X:
5x+3x=2(4x-5)-2
Answer: I got -1, I honest don’t know if i was doing it right so here is my explanation
Step-by-step explanation:
I distributed 2(4x-5)
5x+3x=20x-10-2
Sub 3x for 20x
5x=17x-10-2
Sub -10-2
5x=17x-12
Sub 5x-17x
12x=-12
Divide
Equals -1
Sry it took me a bite
What is m Help please!
9514 1404 393
Answer:
40°
Step-by-step explanation:
The similarity statement tells you that angles W and P have the same measure. The sum of angles in the triangle is 180°, so we have ...
∠R +∠W +∠T = 180°
85° +55° +∠T = 180°
∠T = 180° -140°
∠T = 40°
someone please help
f(x) = 2x2 - 5
and
g(x) = 5x + 7
Find
f(g(x)) = [ ? ]x2 +[ ]x + [ ]
9514 1404 393
Answer:
f(g(x)) = 50x² +140x +93
Step-by-step explanation:
Put the function argument in place of x and simplify.
f(g(x)) = f(5x+7) = 2(5x+7)² -5
= 2(25x² +70x +49) -5
f(g(x)) = 50x² +140x +93
_____
We took advantage of the knowledge that ...
(a + b)² = a² +2ab +b² . . . . . where a=5x and b=7
In the circle, O is the centre and AB is a diameter.
a) Work out the size of angle a.
b) Work out the size of angle b.
Answer:
Step-by-step explanation:
Answer:
a). m∠a = 62°
b). m∠b = 118°
Step-by-step explanation:
a). Since, an angle inscribed in a semicircle is a right angle,
m∠ACB = 90°
By triangle sum theorem in ΔABC,
m∠CAB + m∠ACB + m∠ABC = 180°
28° + 90° + m∠ABC = 180°
118° + m∠ABC = 180°
m∠ABC = 180°- 118°
a = 62°
b). Since, quadrilateral ABCD is a cyclic quadrilateral,
m∠ADC + m∠ABC = 180°
b + a = 180°
b + 62° = 180°
b = 180° - 62°
b = 118°
A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 10% real fruit juice and Drink B contains 15% real fruit juice. How many liters of real fruit juice would be needed to produce 100 liters of Drink A and 250 liters of Drink B? How many liters of real fruit juice would be needed to produce a liters of Drink A and b liters of Drink B?
Solve the equation using subtraction,
3x-4y=-7
3x+y=13
Answer:
Step-by-step explanation:
first question is -1
and i think the sec option is 13/3+y/3 i think im wrong on the sec option
Complete the statement. Round to the nearest hundredth if necessary.
4 ft = ?m
Answer:
1.2192m
Step-by-step explanation:
8x-5y=-118x−5y=−118, x, minus, 5, y, equals, minus, 11 xxx-intercept: \Big((left parenthesis ,,comma \Big))right parenthesis yyy-intercept: \Big((left parenthesis ,,comma \Big))
Find the measure of the numbered angle
Answer:
1 = 50°, 2 = 130°, 3 = 50°, 4 = 130°, 5 = 40°, 6 = 140°, 7 = 90°, 8 = 140°
Step-by-step explanation:
The sum of the angles of a triangle is 180°. A flat angle measures 180° as well.
Angle 1: 180 - 90 - 40 = 50°
Angle 2: 180 - 50 = 130°
Angle 3: 180 - 130 = 50°
Angle 4: 180 - 50 = 130°
Angle 5: 180 - 90 - 50 = 40°
Angle 6: 180 - 40 = 140°
Angle 7: 180 - 90 = 90°
Angle 8: 180 - 40 = 140°
It's a little complicated, but I hope this helps!
. What is the value of x in the equation .5(x-2) = 3(x-4) - 14?
Answer: -8
Step-by-step explanation:
Solve for x
5 (x − 2) = 3 (x − 4) − 14
5x − 10 = 3 (x − 4) − 14
5x − 10 = 3x − 12 − 14
5x − 10 − 3x = −26
2x = −26 + 10
2x = −16
x = −8
Answer:
answer of this equation is (-8)
:-))
Antonio baked 150 muffins. Of all the muffins he baked, 46% of them were blueberry. How manyy blueberry muffins did antonio bake?
Answer: he baked 69 muffins
Step-by-step explanation:
10
Convert from Standard Form to Slope-Intercept Form *
(10 Points)
-4y + 2x = -20
Enter your math answer
Submit
Find the smallest non-zero whole number which can be multiples by 112 to give a cube number
Answer is : Step-by-step explanation:
Given Find the smallest non-zero whole number which can be multiplied by 112 to give a square number and a cube number.
So cube root of 21,952 will be 28.
Reference link will be.
brainly.in/question/4396403.
hope it helps
Answer:
176.
Step-by-step explanation:
112 = 2*2*2*2*7
For a cube number there must be 3 or a multiple of 3 of each factor.
So we multiply by 2*2 and 7 * 7 to give 2^6 * 7^3 which is 21952.
The answer is 4*49
= 176.
Checking that 21952 is a cube:
- the cube root is 28,
Please help math find the measure angle x in the figure below
Answer:
Mm I didn't get the picture
What is the relationship between DG and FG?
Math