Let the number of apples be x and that of pears be y, then:
0.64x + 0.45y = 5.26 . . . (1)
0.32x + 0.39y = 3.62 . . . (2)
(2) x 2 => 0.64x + 0.78y = 7.24 . . . (3)
(1) - (3) => -0.33y = -1.98
y = -1.98 / -0.33 = 6
From (2), 0.32x + 0.39(6) = 3.62
0.32x = 3.62 - 2.34 = 1.28
x = 1.28 / 0.32 = 4
The tires of an automobile have a diameter of 22 inches. If the wheels revolve ten times, how
far does the automobile move? (Round the result to the nearest tenth of a foot.)
A car rental company charges $34 per day for a rented car and $0.50 for every mile driven. A second car rental company charges $20 per day and $0.75 for every mile driven. What is the number of miles at which both companies charge the same amount for a one-day rental?
A.
56 miles
B.
54 miles
C.
36 miles
D.
24 miles
Answer:
B 2/3
Step-by-step explanation:
:)
explain why guard cells have thicker inner walls and thinner outer walls
be smart help me please i’m bout to throw a fit
Answer:
I would say 1/4 of a chance
Solve for x in the diagram below (x+42)
Answer:
x = 12
Step-by-step explanation:
(x + 42)° + 3x° = 90°
x + 3x + 42 = 90
4x = 90 - 42
4x = 48
x = 12
5x-4<4(1+x) what is the answer and how do you do it
Answer:
Step-by-step explanation:
5x-4<4(1+x)
5x-4<4+4x
5x-4x<4+4
x<8
It is 1/2 mile from a student's home to a store and back. In a week, she
walked to the store and back home 1 time. In the same week, she rode her
bike to the store and back 3 times. How many miles did she walk and ride
to the store and back in that week? *
Answer:
2 miles
Step-by-step explanation:
Given that :
Distance from home to store and back = 1/2 mile
In a week :
Number of times he walked from home to store and back = 1 time
Number of times she rode to store and back = 3 time
Note distance does not change whether she rode or walked:
Hence,
miles walked = 1/2 miles * 1 = 1/2 miles
Miles biked = 1/2 miles * 3 = 3/2 miles
Total Number of miles :
(1/2 + 3/2) = (1 + 3) /2 = 4/2 = 2 miles
$6,000 was invested at a simple interest rate. In 15 years, the
account was worth $9,600. What was the interest rate? Show all your
work!
Answer:
4.2%Step-by-step explanation:
S.I=P×R×T R=I×100/R×T =6000×100/9600×15=600000/144000
=4.2%
Convert the following angle from degrees to radians. Express your answer in simplest
form.
375°
Answer:
25 π /12 radians
Step-by-step explanation:
To convert degrees to radians, multiply by π /180 , since a full circle is
360 or 2 π radians.
Cancel the common factor of 15
Factor 15 out of 375
15 (25). π/ 180 radians
Factor
15 out of 180
15. 25 ⋅ π/ 15 ⋅ 12 radians
Cancel the common factor.
15
⋅ 25 ⋅ π/ 15 ⋅ 12 radians
Rewrite the expression.
25 ⋅ π/ 12 radians
Combine
25 and π /12
25 π /12 radians
A full set of adult teeth has 160% as many teeth as a full set of baby teeth. How many teeth are there in a full set of adult teeth if there are 20 teeth in a full set of baby teeth
Answer:
The adult has 32 teeth
Step-by-step explanation:
20*.1.60=32
Answer:
32
Step-by-step explanation:
100% - 20 60% (20x0.60) 12 20+12 32
2. Three states of matter exist - solid, liquid, and gas. Which of the following are the common properties of liquid?
А It has no definite shape or volume
В. It has definite shape and no definite volume,
С. It has a definite shape and has definite volume
D It has a definite volume but take the shape of the container
Answer:
I am gonna say D for this one
Answer:
A
Step-by-step explanation:
water has yet to be formed. its molecules move around like crazy so it stays a liquid.
Patricia tiene $80.000 sólo en billetes de $5.000, Camila tiene $60.000 sólo en billetes de $2.000 y Andrea tiene $120.000 sólo en billetes de $10.000. Cada una aportará la misma cantidad de dinero a un fondo para comprar un regalo a su madre, que tiene un valor de $90.000. ¿Con cuántos billetes se quedará Camila después de pagar su parte de la cuota?
Answer:
mmmm
Step-by-step explanation:
can someone pls help!!
Answer:
[tex]y=-\frac{1}{9}(x-2)^2-3[/tex]
Step-by-step explanation:
When a quadratic equation is in the form [tex]y=a(x-h)^2+k[/tex] (vertex form):
The x-coordinate can be found by identifying which value makes [tex](x-h)^2[/tex] equal 0The y-coordinate can be found by identifying the k value (y=k)Therefore, if the vertex of the function is at (2,-3), h needs to be 2 for [tex](x-h)^2[/tex] to equal 0 and k needs to be -3. The only equation that displays this is G:
[tex]y=-\frac{1}{9}(x-2)^2-3[/tex]
I hope this helps!
Cuál es el problema actual que están viviendo los emprendedores?
Answer:
Los emprendedores se enfrentan a muchos desafíos en el mundo empresarial ultracompetitivo de hoy. Afortunadamente, los emprendedores también tienen más recursos que nunca para abordar esos problemas.
Hoy en día, muchos emprendedores enfrentan los siguientes 10 desafíos. Quizás ya te hayas enfrentado a algunos de ellos. Siga leyendo para saber por qué existe cada desafío y para obtener soluciones y soluciones para que pueda operar su negocio de manera eficiente y exitosa.
find the total surface area of the shape
Answer:
510 ft²
Step-by-step explanation:
in the triangle
base (b) = 5 ft
height of the triangle (h1) = 12 ft
height of the prism = 15 ft
Now
Lateral surface area (LSA)
= perimeter of triangular base * height
= ( 13 + 5 + 12) * 15
= 450 ft²
Total surface area
= LSA + 2 * area of triangular base
= 450 + 2 * 1 / 2 * b * h1
= 450 + 5 * 12
= 450 + 60
= 510 ft²
Hope it will help :)❤
Study the figure.
53
53
?
What is the measure of the missing exterior angle, in degrees?
Answer:
exterior angle is equal to the sum of two interior opposite angle
?=53+53=106°
missing exterior angle =106°
The measure of the exterior angle is 106°.
What is an exterior angle?Exterior angles are angles that are parallel to the inner angles of a polygon but lie on the outside of it.
Given that, a triangle has two interior angles 53° and 53° and an exterior angle x,
Since, we know that, sum of opposite two interior angles of a triangle is equal to measure of exterior angle.
Therefore,
53° + 53° = x
x = 106°
Hence, the exterior angle is 106°
Learn more about exterior angles, click;
https://brainly.com/question/28835566
#SPJ2
1+1=1268934457687423456779052436869867543?
Answer:
2
Step-by-step explanation:1+1=2 its 2 okay its 2 not 1268934457687423456779052436869867543
Find x. Round to the nearest tenth and only type the number for your
answer.
25
X
16
22
Answer:
10.7
Step-by-step explanation:
To find x we have to basically do pythagoream theorem twice. Both the traingles share the same long side. The find the long side of the top traingle do, [tex]a^{2} +16^{2} =25^{2}[/tex], and we find the long side to be [tex]\sqrt{369}[/tex]. Using this we now plug it into the pythagoream theorem for the bottom triangle. [tex]\sqrt{369} ^{2} +x^{2} =22^{2}[/tex], and doing this out we find that x=[tex]\sqrt{115}[/tex] or about 10.7.
i need help on this pls
Answer:
Hello!
1 on the left in vertical and 1 on the right is adjacent hope that helps.
Write an expression for the perimeter of the square. SIMPLIFY your answer
Answer:
P=16x-20
Step-by-step explanation:
The perimeter of a square can be found by adding up all the sides, and since it is a square we know that all the sides are the same. So we get P=4(4x-5), then we distribute the 4, and are left with the equation P=16x-20.
Can 1.2345 be written as a fraction ?
Answer:
2469/2000
Step-by-step explanation:
Answer:
Yes. 2469/2000
Step-by-step explanation:
By how much would the quantity of labor demanded decrease if a minimum wage hike raised prevailing wages from $8 to $10 an hour and if the elasticity of labor demand were 0.40?
Answer:
it would decrease by 10%
Step-by-step explanation:
Price elasticity of demand measures the responsiveness of quantity demanded to changes in price of the good.
Price elasticity of demand = percentage change in quantity demanded / percentage change in price
percentage change in price = ($10 - $8) / $8 = 0.25 x 100 = 25%
0.4 = percentage change in quantity demanded / 25%
percentage change in quantity demanded = 25% x 0.4 = 10%
PLEEEASE HELP! TEST TMRW AND I MIGHT FAIL.
is this a supplementary angle or a complementary angle or neither?? number 1
Answer:
its neither
Step-by-step explanation:
supplementary means the angles would equal 180° and complementary means the Angel's would equal 90°
in this case the angles equal to neither.
Answer:
1.neither
as there sum =56+142=198°
3.supplementary
sum =57+123=180°
Jack paid $4:00 for 6 pounds of apples. What is the ratio of the price of apples to the pounds of apples?
Answer:
you get 1.5 pounds of apples per dollar (1 pound and 8 ounces)
Step-by-step explanation:
6 and 4 will not work so we need to use decimals
since we have a gap of two, we need to be able to use it four times
2=0.5
1.5 x 4 = 6
or we could just divide it... never mind forget it
your answer is 1.5 pounds of apples per dollar
Answer:
The ratio of the price of apples to the pound of apples: 2:3
Step-by-step explanation:
4:6
divide by 2
2:3
PLS HELP WILL GIVE BRAIN THINGY
Answer:
Teachers are tough
Step-by-step explanation:
your welcome i hope you do good in ur test! :)
8÷2(2+2) This is 16 not 1
Step-by-step explanation:
8÷2(2+2) = 8.
2(2 + 2)
= 8.
4 + 4
= 8.
8
= 1
Answer:
using BODMAS
The answer is 1
Step-by-step explanation:
Bracket Order Division Multiplication Addition and Subtraction
A square has a diagonal with the length of 8V7 inches. What is the length of the
sides?
Answer:
approximately 13.9 inches
Step-by-step explanation:
That's 8√6, not 8V7.
The four sides are of the same length (x). According to the Pythagorean Theorem, x² + x² = (diagonal length)² = (8√6)², or
2x² = 64(6) = 384
Dividing both sides by 2, we get:
x² = 192, or x² = 4(48). Then the side length is x = √16√12, or
x = 4√4√3 = 8√3. This is approximately 13.9 inches.
2x - 42 = 94
Solve for x
Answer:
x = 68
Step-by-step explanation:
2x - 42 = 94
Use inverse operations to add 42 to both sides of the equation.
2x - 42 + 42 = 94 + 42
Simplify this to-
2x = 136
Now divide 2x and 136 by two for-
2x/2 = 136/2
Simplify.
x = 68
The answer, then, is x = 68.
I hope this helps ^^
Good luck :]
Melanie invested $3800 in an account paying in interest rate of 2 3/8% compounded quarterly Sebastian invested $3800 in an account paying in interest rate of 2 3/4% compounded monthly after 16 years how much more money with Sebastian have in his account then Melanie to the nearest dollar
Answer:
$317
Step-by-step explanation:
Formula for compound interest is;
A = P(1 + (r/n))^(nt)
For melanie;
P = $3800
r = 2⅜% = 0.02375
n = 12/4 = 3
t = 16 years
Thus;
A = 3800(1 + (0.02375/3))^(3 × 16))
A ≈ $5548
For Sébastien;
P = $3800
r = 2¾% = 0.0275
n = 12
t = 16
Thus;
A = 3800(1 + (0.0275/12))^(12 × 16))
A ≈ 5865
Difference between Sébastien and Melanie's final amount = $5865 - $5548 = $317