Answer:
The salary of the governor of state A is $171,575 and the salary of the governor of state B is $117,830.
Step-by-step explanation:
If the governor of state A's salary is "x" and the governor of state B's salary is "y", then:
[tex]x = y + 53,745[/tex]
If the total of their salaries is $289,405, then the sum of x and y should be equal to that number.
[tex]x + y = 289,405\\[/tex]
Applying the first expression on the second allows us to solve for y as shown below.
[tex]y + 53745 + y = 289405\\2y = 289405 - 53745\\2y = 235660\\y = 117830[/tex]
Using this data on the first expression allows us to solve for the first governo's salary.
[tex]x = 117830 + 53745 = 171575[/tex]
The salary of the governor of state A is $171,575 and the salary of the governor of state B is $117,830.
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38 42 34 54
Step-by-step explanation:
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Question 30 The Royal Fruit Company produces two types of fruit drinks. The first type is pure fruit juice, and the second type is pure fruit juice. The company is attempting to produce a fruit drink that contains pure fruit juice. How many pints of each of the two existing types of drink must be used to make pints of a mixture that is pure fruit juice
Answer:
The answer is below
Step-by-step explanation:
The Royal Fruit Company produces two types of fruit drinks. The first type is 65% pure fruit juice, and the second type is 90% pure fruit juice. The company is attempting to produce a fruit drink that contains 85% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 80 pints of a mixture that is 85% pure fruit juice?
Answer: Let x be the number of pints of the first fruit juice (i.e 65%) and y be the number of pints of the second fruit juice (i.e 90%).
Since the total number of pints to make the 85% pure fruit juice is 80, it can be represented using the equation:
x + y = 80 . . . 1)
Also, x pints of the first juice = 0.65x, y pints of the second juice = 0.9y and 80 pints of the mixture to be produced = 80(0.85) = 68. Therefore:
0.65x + 0.9y = 68 . . . 2)
We have to solve equation 1 and 2 simultaneously, first multiply equation 1 by 0.65 to get equation 3:
0.65x + 0.65y = 52 . . . 3)
Subtract equation 3 from 2 and solve for y:
0.25y = 16
y = 16/0.25 = 64
y = 64 pints
Put y = 64 in equation 1:
x + 64 = 80
x = 80 - 64 = 16
x = 16 pints
Therefore 16 pints of the 65% pure fruit juice, and 64 pints of the 90% pure fruit juice is required to make 80 pints of 80% fruit juice.
an appropriate metric unit for the mass of an eyelash.
Answer: Mass of a typical house cat:
Automatically eliminate B and D since they are not metric unit for mass
So, that leaves us with A and C. And since a cat is not huge nor weighs that much, the most reasonable one would be to measure it in grams.
Correct answer: C
find the equation of the circle whose center and radius are given center (7,3) radius =7
Answer:
[tex](x-7)^2+(y-3)^2=7^2[/tex]
Step-by-step explanation:
[tex](x-h)^{2}+(y-k)^{2}=r^{2}\\[/tex]
Thus,
[tex](x-7)^2+(y-3)^2=7^2[/tex]
HELP ME PLEASE!!!!!!!!!!!!!
A hospital found that a lower outside temperature indicates a higher number of patient visits. What can we determine from this information?
There is no correlation between outside temperature and number of patient visits.
There is a correlation between outside temperature and number of patient visits. However, there is no causation. This is because there is an increase in the number of patient visits with a decrease in the temperature outside.
There is a correlation between outside temperature and number of patient visits. There may or may not be causation. Further studies would have to be done to determine this.
Answer:
negative correlation
Step-by-step explanation:
Asked my teacher
3. In the diagram, PQTU is a parallelogram with a
perimeter of 24 cm and an area of 28 cm². Given that
UTS and PQR are straight lines, find the area of the
whole diagram
Answer:
48cm²
Step-by-step explanation:
PQ=(24-5-5)/2=7
This means PR is 14 and US is 10.
The height of the parallelogram is base times height, so 28/7=4
Now we just look at it as one big parallelogram.
4(14+10)/2=48 cm²
Identify the vertex of the graph. Tell whether it is a minimum or maximum.
The total value of a collection of nickels and dimes is $3.05. If the number of nickels is 19 greater than the number of dimes, how many nickels are in the collection?
Answer:
N = 33
Step-by-step explanation:
N = D + 19
.05N + .10 D = 3.05
N = 33
D = 14
hi again here's the picture
Answer:
351.88 mStep-by-step explanation:
Given,
D = diameter of semicircular part = 42 m
L = Length of straight part = 110 m
Now, let's find the perimeter:
= 2 ( length of semi-circle + length of straight part )
[tex] = 2( \frac{\pi \: d}{2} + l)[/tex]
Plug the values
[tex] = 2( \frac{3.14 \times 42}{2} + 110)[/tex]
Calculate the product
[tex] = 2( \frac{131.88}{2} + 110)[/tex]
Divide
[tex] = 2 (65.94 + 110)[/tex]
Calculate the sum
[tex] = 2 \times 175.94[/tex]
Calculate
[tex] = 351.88 \: m[/tex]
Hope this helps..
Best regards!!
Answer:
351.88 m²
Step-by-step explanation:
diameter of the semicircle=42 the radius=42/2=21
perimeter of circle=2π r=2(3.14(21))= 131.88(since you have two semi-circle,then it is a full circle)
perimeter of the rectangle: 2(110)=220( the width used to measure the perimeter of the circle)
the area of the track=131.88+220=351.88
In the diagram below, you are given that ∠AVD = ∠BVE = ∠CVF= 90° and ∠CVD = 22°. If ∠AVB= ∠EVF, how many degrees are in the measure of ∠AVF?
Answer:
m∠AVF = 158°
Step-by-step explanation:
In the diagram attached,
m∠AVD = m∠BVE = m∠CVF = 90°
m∠CVD = 22°
∠AVB = ∠EVF
Since ∠AVD = ∠AVC + ∠CVD
Therefore, 90° = m∠AVC + 22°
m∠AVC = 90° - 22°
= 68°
Similarly, m∠CVF = m∠CVD + m∠DVF
90° = 22° + m∠DVF
m∠DVF = 68°
m∠AVC = m∠DVF = 68°
Now ∠AVF = ∠AVD + ∠DVF
= 90° + 68°
= 158°
Coffee is sold in two different sized canisters. The smaller canister has a diameter of 9 cm and a height of 12 cm. The larger canister is double the size of the small canister. Calculate the volume and surface area of each canister and compare the results of doubling the dimensions.
Answer:
volume 1 =763 cm3
volume 2 = 6,104 cm3
Second volume is 8 times greater than the first volume.
Surface area 1 = 466 cm2
surface area 2 =1,865 cm2
second surface area is 4 times greater than the first surface area .
Step-by-step explanation:
Volume of a cylinder: π radius^2 x height
Radius = diameter /2 = 9/2 = 4.5
V = 3.14 x 4.5^2 x 12 = 763 cm3
Surface area: (3.14 r^2)2 + 2(π x radius x height)
Sa = (3.14 x 4.5^2 )2 + 2(3.14 x 4.5 x 12 )=466 cm2
Since the second canister is double the size:
Radius = 4.5 x 2 = 9
Height = 12 x 2 =24
V = 3.14 x 9^2 x 24 = 6,104 cm3
Sa = (3.14 x 9^2 )2 + 2(3.14 x 9 x 24 )=1,865 cm2
Dividing the second volume by the first one:
6,104/ 763 = 8
Second volume is 8 times greater than the first volume.
Dividing the second surface area by the first one:
1865/466 = 4
second surface area is 4 times greater than the first surface area .
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Step-by-step explanation:
cross multiply to get 3x:= 10( -5/2)
3x=-25
x=25/3
x=8 rem 1
8.33
Help me please!!!!!!!!!!!!!!!
Answer:
Interior = 60°
Exterior = 120°
Step-by-step explanation:
A triangle has 180° in total.
We have 2 angles, 70 and 50
70 + 50 = 120
For Angle U, we do 180-120 = 60
So the interior angle is 60°
A line is straight and is 180°
With angle U being 60°, and being on a straight line, 180-60 = 120
So exterior angle is 120°
Answer:
The measure of the exterior angle is 120 degrees.
The measure of the interior angle is 60
Step-by-step explanation:
To find the missing exterior angle, we need the adjacent angle measurement first. To do this, we add up all the interior angles and get 120 degrees. We need to subtract this from 180 in order to get the missing interior which is 60. Now, we subtract 60 from 180 to get the exterior angle since it is a supplementary angle. Hope this helped!
1) solve for the shaded area
8 cm
15 cm
4 cm
30 cm
www.analyzematlucom
Answer:
208 cm²
Step-by-step explanation:
First, you take the area of the whole rectangle, to do this you simply multiply 30 by 15, meaning that the big rectangle’s area is 450 cm².
Then, you take the area of the small rectangle (the unshaded one), to do this, you simply figure out the sides (they end up being 11 cm and 22 cm, you can find this out through subtracting) and to find the area of this rectangle, you multiply 11 by 22, which gives you 242 cm²
Now all that is left to do is to subtract the unshaded area by the whole rectangles area to find the shaded part! This will look like this: 450-242= 208 cm²
Find each product.
1. (5a3b)(2ab)
2.5y(-y2+7y-2)
PLEASE HELP!!?!
Answer:
1).(5a3b)(2ab)
Expand
That's
15ab( 2ab )
we have the answer as
30a²b²2).5y(-y² + 7y - 2)
Expand
That's
- 5y³ + 35y² - 10yHope this helps you
Abenfos has a rectangular field.it is 85m long and 25m wide. How long is the fence round the field?
Answer:
The fence must have:
220 meters
Step-by-step explanation:
The perimeter of the field is equal to the long of the fence round the field.
then:
perimeter = 2(long + wide)
perimeter = 2(85 + 25)
perimeter = 2*110
perimeter = 220m
Which of the following represents a term from the expression given?
3x2+8x - 10
Answer:
8x for plato
Step-by-step explanation:
Endpoint 1: (-1,2)
Midpoint: (9,-6)
Endpoint 2=
Answer:
(19 , -14)
Step-by-step explanation:
Find the distance in between each x & y for a coordinate.
Let: (x₁ , y₁) = (-1 , 2)
Let: (x₂ , y₂) = (9 , -6)
From x₁ ⇒ x₂: 9 - (-1) = 10
From y₁ ⇒ y₂: -6 - 2 = -8 = 8*
*Remember that distance cannot be negative, but for the sake of this question, we will leave it as -8.
The distance between the x points are in intervals of 10. The distance between the y points are in intervals of 8. Add 10 & subtract 8 to their respective numbers to get endpoint 2:
(9 (+ 10) , -6 (- 8)) = (19 , -14)
Endpoint 2 = (19 , -14)
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PLEASE HELP!! URGENT! What is f[g(3)] for the following functions? f(x) = 4x2 − 3 g(x) = 5x − 2 A. f[ g(3) ] = 13 B. f[ g(3) ] = 163 C. f[ g(3) ] = 363 D. f[ g(3) ] = 673
Answer:
[tex]\boxed{f[ g(3) ] = 673}[/tex]
Step-by-step explanation:
[tex]f(x) = 4x^2 - 3 \\ g(x) = 5x - 2[/tex]
[tex]f(g(3))[/tex]
[tex]f(5(3)-2)[/tex]
[tex]f(15-2)[/tex]
[tex]f(13)[/tex]
[tex]f(13)=4(13)^2 -3[/tex]
[tex]f(13)=4(169) -3[/tex]
[tex]f(13)=676-3[/tex]
[tex]f(13)=673[/tex]
Answer:
f[g(3)] = 673
Step-by-step explanation:
I took the test
John lent 2,550 to Mohan at 7.5 per cent
per annum. If Mohan discharges the debt after
8 months by giving an old black and white
television and 1,422.50. Find the price of
the television.
Answer: $1,077.50 or $1,078.06 (see below)
Step-by-step explanation:
Since the interest is applied after 1 year and the debt was repaid in 8 months, no interest was accrued on the $2,550 loan.
Thus, the price of the tv is: $2,550 - $1,422.50 = $1,077.50
Note: If interest is charged for the 8 months (3/4 of a year), then the interest added to the loan amount is: 0.75(3/4) = $0.56
⇒ the the price of the tv is: $1,077.50 + $0.56 = $1,078.06
PLs help asap will make brainlist I need to finish this
Answer:
B. 33
Step-by-step explanation:
45/30 = x/22
3/2 = x/22
2x = 3 * 22
x = 3 * 11
x = 33
Answer:
B. 33
Step-by-step explanation:
39 / 26 = 1.5
45 / 30 = 1.5
22 x 1.5 = 33
Which of the following is the concept illustrated with the misentered data? A. The procedure for constructing the confidence interval is not robust. The smaller the sample size, the less resistant the mean. Therefore, the confidence interval is more robust.
Answer:
B. Te procedure for constructing the confidence interval is robust. The larger the sample size, the more resistance the mean. Therefore, the confidence interval is more robust.
Step-by-step explanation:
Misentered data illustrates the concept that if the sample size is larger it will be more resistance to mean. This means confidence interval is more robust. In statistics, robust is a modification of confidence interval. It refers to strength of statistical model. Robust statistics is resistant to errors in statistical model.
Which side lengths form a right triangle?
Answer:
B
Step-by-step explanation:
sqrt30 -6^2 doesn't work
2.5 sqrt18 and 5 do work
Would a 36-ounce box for $3.72 be a better bargain than a 3-pound box for $5.36?
Answer: 5.79
36
16 cost
Step-by-step explanation:
how to solve for x in math
Answer:
20°
Step-by-step explanation:
4x+3x+2x=180°(Sum of interior anglevof triangle)
9x=180°
x=20°
I Hope this will be helpful for you.
20
Step-by-step explanation:
Just add the all terms and trim as equation then solve it simple ^ω^ .
[tex] \sf4x + 3x + 2x = 180 \degree[/tex]
[tex][ \sf \: \because \: Sum \: of \: all \: interior \: angle \: of \: a \: trianlge \: is \: 180 \degree][/tex]
[tex]9x = 180[/tex]
[tex]x = \dfrac{180}{9} [/tex]
[tex]x = 20[/tex]
The required value of x is 20
Martin is making a candy that contains 90% milk chocolate and the rest caramels. The candy has 3 pounds of caramels. Part A: Write an equation using one variable that can be used to find the total number of pounds of milk chocolate and caramels in the candy. Define the variable used in the equation.
Answer: The equation using one variable that can be used to find the total number of pounds of milk chocolate and caramels in the candy is [tex]0.9x+3=x[/tex]
x= Weight of candy in pounds
0.9x = Weight of milk chocolate.
Step-by-step explanation:
Given, Martin is making a candy that contains 90% milk chocolate and the rest caramels. The candy has 3 pounds of caramels.
Let x= Weight of candy in pounds
Then, 0.9x = Weight of milk chocolate.
Then, According to the question
[tex]0.9x+3=x\\\\\Rightarrow\ x-0.9x=3\\\\\Rightarrow\ 0.1x=3\\\\\Rightarrow\ x=\dfrac{3}{0.1}=30[/tex]
So, Weight of milk chocolate. = [tex]0.9\times30=27[/tex]
Hence, the equation using one variable that can be used to find the total number of pounds of milk chocolate and caramels in the candy is [tex]0.9x+3=x[/tex]
I REALLY need help with this! Could someone please help me?
Answer:
Construction II
Step-by-step explanation:
Construct 3 perpendicular bisectors of the triangles sides; where they intersect is the point of concurrency. The distance from the point of concurrency to one of the vertices is the radius.
Solve =14+3 l = 14 j + 3 k for k. Select one: a. =+143 k = l + 14 j 3 b. =−143 k = l − 14 j 3 c. =3+14 k = l 3 + 14 j d. =3−14
Answer:
k= l/3 - 14/3j
Step-by-step explanation:
l = 14j + 3k
Solve for k
l = 14j + 3k
Subtract 14j from both sides
l - 14j =14j + 3k - 14j
l - 14j = 3k
Divide both sides by 3
l - 14j / 3=3k / 3
k= l/3 - 14/3j
Or
1/3(l - 14j) = k
Answer:
Which expression is equivalent to ‐10
k
‐
10
?
Step-by-step explanation:
Halle en metros cuadrados la cantidad de cartón necesaria para elaborar el sólido que se muestra:: POR FIS ES DE UNA EVALUACION ALGUIEN QUE ME AYUDEEE:).
Answer:
La cantidad de cartón necesaria para hacer el sólido es de 165 m² de cartón.
Step-by-step explanation:
La figura en la pregunta consta de tres formas
1) Una pirámide cuadrada
Altura inclinada = 5 m
Longitud lateral base = 3 m
2) un cubo
Longitud lateral, s = 3 m
3) Un prisma rectangular
Longitud = 6 m
Altura = 3 m
Ancho = 3 m
El área de superficie de la pirámide cuadrada, [tex]S_P[/tex] = 2 × Altura inclinada × Longitud del lado base
[tex]S_P[/tex] = 2 × 5 × 3 = 30 m²
El área de superficie del cubo, [tex]S_C[/tex] = 6 ×(Longitud lateral, s)²
[tex]S_c[/tex] = 6 × 3² = 54 m²
El área de superficie del prisma rectangular, [tex]S_R[/tex] = 4 × largo × alto + ancho × alto
[tex]S_R[/tex] = 4 × 6 × 3 + 3 × 3 = 81 m²
La cantidad de cartón necesaria para hacer el sólido, [tex]S_S[/tex] = [tex]S_P[/tex] + [tex]S_C[/tex] + [tex]S_R[/tex]
[tex]S_S[/tex] = 30 + 54 + 81 = 165 m².
La superficie del cartón necesaria para construir el sólido es de 165 m².
Manuela solved the equation 3−2|0.5x+1.5|=2 for one solution. Her work is shown below. 3−2|0.5x+1.5|=2 −2|0.5x+1.5|=−1 |0.5x+1.5|=0.5 0.5x+1.5=0.5 0.5x=−1 x=−2 What is the other solution to the equation? x=−6 x=−4 x=2 x=4
Answer:
x = - 4
Step-by-step explanation:
Given
3 - 2 |0.5x + 1.5 | = 2 ( subtract 3 from both sides )
- 2 |0.5x + 1.5 | = - 1 ( divide both sides by - 2 )
|0.5x + 1.5 | = 0.5
The absolute value function always gives a positive value, however, the expression inside can be positive or negative, thus
0.5x + 1.5 = 0.5 ( subtract 1.5 from both sides )
0.5x = - 1 ( divide both sides by 0.5 )
x = - 2 ← solution Manuela obtained
OR
-(0.5x + 1.5) = 0.5 ← distribute parenthesis on left side by - 1
- 0.5x - 1.5 = 0.5 ( add 1.5 to both sides )
- 0.5x = 2 ( divide both sides by - 0.5 )
x = - 4 ← other solution to the equation
Based on the information given, it can be noted that the solution to the equation will be x = -4.
Solving an equation.From the equation given, 0.5x + 1.5 = 0.5
Subtract 1.5 from both sides
0.5x + 1.5 - 1.5 = 0.5 - 1.5
0.5x = - 1
Divide both side by 0.5
0.5x/0.5 = 1/0.5
x = 2
Also, the other solution will be:
-0.5x - 1.5 = 0.5
-0.5x = 0.5 + 1.5
-0.5x = 2
x = 2/-0.5
x = -4.
Learn more about equations on:
https://brainly.com/question/13763238