Bill rented a truck for one day. There was a base fee of $16.95 , and there was an additional charge of 83 cents for each mile driven. Bill had to pay $248.52 when he returned the truck. For how many miles did he drive the truck?
Answer:
279 miles
Step-by-step explanation:
First, subtract the base fee from his total charge:
248.52 - 16.95
= 231.57
Divide this by 0.83 to find how many miles he drove:
231.57/0.83
= 279
So, he drove 279 miles
albert bought a bicycle for $27 500. he sold it for $35 5000 what was the amount of his profit
Answer:
$8000
Step-by-step explanation:
profit = selling price - Cost Price
P = 35000-27500
P= 8000
Derrick is a middle distance runner for his college indoor track team. One day his coach suggests a workout in which Derrick runs 3 repetitions of 7 2/3 laps at full speed with a two-minute rest between each repitition. How many laps does he run in this workout?
Answer:uttt
Step-by-step explanation:
What are the solutions to the system of equations graphed below? Select all
that apply.
Answer:
A solution to a system of equations is the point(s) where they intersect. Find the ordered pairs where they intersect and you have your answers.
Step-by-step explanation:
There are 4.5 litres of milk in a pot. The chef stirs in 2.5 g of salt and 1.2 litres of water. How much liquid is in the pot?
Answer:
5.7 litres
Step-by-step explanation:
The salt is not a liquid so you do not need to add it in.
4.5 litres + 1.2 litres = 5.7 litres
The table represents an exponential function.
What is the multiplicative rate of change of the
function?
Х
1
3
.
2.
4
9
16
9
Answer:
Step-by-step explanation:
An exponential function has a standard form
[tex]y=a(b)^x[/tex] where a is the initial value, b is the rate of growth or decay, and x and y are found in coordinates from the table. We need to solve for b, the rate of change (growth or decay). We will use the first 2 coordinates in the table, namely (1, 6) and (2, 4) to solve for b. We will use a system of equations...2 equations for 2 unknowns. The first equation is found by plugging in a 6 for y and a 1 for x to get:
[tex]6=a(b)^1[/tex] and, solved for a:
[tex]a=\frac{6}{b}[/tex].
In the second equation, we will plug in a 4 for y, a 2 for x and the value for a we just found:
[tex]4=\frac{6}{b}(b)^2[/tex] and, simplified a bit:
[tex]4=\frac{6b^2}{b}[/tex] which finally simplifies to
4 = 6b and
[tex]b=\frac{2}{3}[/tex]. That's the rate of change we are asked to find. We could continue to find the whole equation. Plug in 2/3 for b to solve for a:
[tex]a=\frac{6}{\frac{2}{3} }[/tex] and
[tex]a=\frac{6}{1}*\frac{3}{2}=\frac{18}{2}=9[/tex] and the exponential equation is
[tex]y=9(\frac{2}{3})^x[/tex] that means that we started with 9 of something and it is dying/decaying/depreciating at a rate of 33%
The school auditorium has 900 seats. The inequality, with x representing adults and y representing children, can be solved to find the possible combinations of adults and children attending an event. Which reason describes why the ordered pair (450, 450) must be included in the solution set of the inequality?
Answer:
Step-by-step explanation:
The ordered pair is located on the boundary line of the graph of the inequality, and because the sign is "less than or equal to", the values on the boundary line are also included in the solution set.
Looking at this logically, we also see that it certainly possible for half the seats to be occupied by adults and half by children.
pls help me solve this pls show how you got the answer
Answer:
my answer is in this picture.
Can someone help me with this. Will Mark brainliest.
That would be central angels !
Please mark me, I'd like to get to virtuoso.
two of the interior angles of a polygon are 134° and 156° and each of the remaining angles is 151°. find no of sides of the polygon.
the side of a polygon is 12 side polygon
How many groups of 4 balls can be selected from a bag of 10 balls?
Answer:
2 an a half
Step-by-step explanation:
4+4 is 8 an than you have 2 which is half of four
What is the measure of m<3
Since a is parallel to b , taking CE as transversal
m< CED = m<3 = 58° (alternate interior angles)
Answer:
Step-by-step explanation:
Since line A is parallel to line B, then angle 1 and angle D are alternate interior and are congruent. That means that angle 1 is 60. Angle 2 can be found by subtracting 60 + 58 from 180:
180 - 60 - 58 = 62. Now to find angle 3, we just subtract angle 1 and angle 2 from 180:
180 - 60 - 62 = 58 (which works out perfectly because angle 3 and angle E are congruent as we just found out!)
Which function is shown in the
graph below?
Answer:
Function 2
Step-by-step explanation:
From the graph the y intercept is 7. The only function that gives y = 7 when x = 0 is function 2.
A zoo has 1,361 visitors on Saturday and 549 on Sunday. Which is the best estimate of the total number of visitors
1900 is the answer.
the lenths of the sides of a triangle are in the extended ratio 5:9:10. the perimeter of the triangle is 48 cm. what are the lengths of the sides?
Answer:
What's my age im 1300
Step-by-step explanation:
Answer:
The sides are of lengths 10, 18, 20
Step-by-step explanation:
Perimeter = 48
Lengths of the sides
5:9:10 * (48/(5+9+10) = 5:9:10 * (48/24) = 10:18:20
The sides are of lengths 10, 18, 20
If the previous balance on your credit card account is $288.44, the periodic rate is 0.7%, you made a payment of $45, and you had new purchases of $120.33, then how much is the new balance this month?
Answer: $46,619
»» 288.44 / 0.7%
»› 41,205
»» 45 x 120.33
»» 5,414
A=41,205
A=5,414
A=46,619
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If you use squares to approximate area,what do you use to approximate volume?
1 rectangles
2 cubes
3 spheres
4 circles
Answer:
cubes
Step-by-step explanation:
because when you find area you would say 2 meters "squared" but when you find volume you woukd say 2 meters "cubed"
Emilio plays basketball. During his last 6 games he made 24 out of 60 free
throw shots. If Emilio will have 25 free throws shots in the next games,
about how many he expects to make?
24 out of 60 is 0.4 which is 40%, so to find out how many he would make in 25 throws you multiply 25 by 0.4 then you would get 10 out of 25.
HELP ASAP,, WILL GIVE BRAINLIEST
Answer:
a = 50°, b = 130°, c = 20°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles in the right triangle
a + 40° + 90° = 180°
a + 130° = 180° ( subtract 130° from both sides )
a = 50°
a and b are adjacent angles and sum to 180° , so
a + b = 180°
50° + b = 180° ( subtract 50° from both sides )
b = 130°
Then sum the angles in the top triangle, that is
30° + 130° + c = 180°
160° + c = 180° ( subtract 160° from both sides )
c = 20°
Round 47.219 to the nearest tenth.
Answer:
47.2
Step-by-step explanation:
What is the area pls
Answer:
276 unit^2.
Step-by-step explanation:
This area is the sum of the area of 2 rectangles
= 12 * 13 + 8 * 15
= 156 + 120
= 276.
PLEASE HELP PICTURE ABOVE
Answer:
x = 6.8829
Step-by-step explanation:
[tex]\frac{sin\left(35\right)}{x}=\frac{sin\left(90\right)}{12}[/tex]
Answer:
x ≈ 6.8
Step-by-step explanation:
Label each side of the triangle with "a" (adjacent), "o" (opposite), or "h" (hypotenuse).
Side x is the opposite, side 12 is the hypotenuse, and the other side is the adjacent.
Use SOH-CAH-TOA to find the missing side (Sin, Cos, Tan).
To find x, we need to use SOH or Sin(a)= O/H
Plug in the adjacent angle for a and 12 for h then solve:
Sin(35)=O/12
The calculator approximation of Sin(35) is 0.5735.
0.5735 ≈ O/12
Multiply both sides by 12:
12 * 0.5735 ≈ O/12 * 12
O ≈ 6.882
Round to nearest tenth:
O ≈ 6.8
A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 100 nails and each large box has 350 nails. The contractor bought a total of 9 boxes that have 2400 nails altogether. Write a system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased. Define the variables that you use to write the system.
Answer:The system 150x+400y=1950 and x = y+2 could be used to determine the number of small boxes and large boxes ordered where x represents the number of small boxes and y represent the number of large boxes.
Step-by-step explanation:
Answer:
Let s = the number of small boxes purchased
Let l = the number of large boxes purchased
100s + 350l= 2400
s+l= 9
Write the equation for a line Parallel to this one.
y = 3x + 2
a
y = 3x + 2
y = 3x + 7
ос
y = (1/3)x + 7
Od
y = -(1/3)x + 3
Answer:
actually, a and b are correct, as any line is also parallel to itself (a).
b is probably the truly wanted answer, as this line is on a chart visible as a second line and parallel to the first one.
Step-by-step explanation:
the factor of x is also the slope of the line.
for a line to be parallel to another, both need to have the same slope.
the constant number in the equation is the offset of the line from point (0,0) in y direction.
so, b is a parallel line 4 units above the first line.
Complete the diagram below by filling in the measures of each angle
Answer:
Step-by-step explanation:
Since the 2 lines running the same direction are parallel to each other, as marked, then x + 32 and 2x + 1 are corresponding and they are also congruent. That means that they are equal in measure:
x + 32 = 2x + 1 and
x = 30. So the angles measure 62 degrees each. That means that each angle that is diagonal to these 2 angles also measure 62 degrees. The angles above and next to each of these 62 degree angles are supplementary, meaning they measure 180 - 62 which is 118 degrees.
Help me please I really need help
Answer:
[tex]17\sqrt{2}[/tex] ft
Step-by-step explanation:
take angle b as reference angle
using sin rule
sin 45 = opposite / hypotenuse
[tex]\frac{1}{\sqrt{2} }[/tex] = 17 / BC
BC =17 / [tex]\frac{1}{\sqrt{2} }[/tex]
BC = 17 * [tex]\sqrt{2}[/tex]
BC = [tex]17\sqrt{2}[/tex] ft
Answer:
BC = 17[tex]\sqrt{2}[/tex] ft
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{17}{BC}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
BC = 17[tex]\sqrt{2}[/tex] ft
Which statements about the function are true? Choose three options.
g of 1 = negative 1
g of 0 = 0
g of 4 = negative 2
g of 1 = 1
g of negative 1 = 1
(-1, 1) on graph so g(-1 )= 1 True (4, 2) not on graph so g(4)= 2 Not true. Answer: g(0) =0 g(1) = 1 g(-1) = ...
g
Using the information given by the graph of the function, the true statements about the function include ;
g(-1) = 1 g(0) = 0g(1) = 1The function g(X) is used to obtain the corresponding value of y at a given x-value.
From the graph :
At x = 0 ; g(0) = 0 ; because the graph passes through the origin and the values of x and y are both 0.At x = 1 ; g(1) = 1 ; this can also be seen on the graph. Also, at x = - 1 ; y = 1. Hence, g(1) = - 1Therefore, no other (x, y) coordinate pair is similar on the graph of the function attached.
Learn more : https://brainly.com/question/20790351
Event A: Flipping heads on a coin
Event B: Rolling an odd number on a number cube
What is P(A and B)?
(Help this doesnt make any sense to me)
Answer:
1/4
Step-by-step explanation:
Add the probabilitys 1/2 plus 1/2 to get 1/4
Answer:
c
1/4
Step-by-step explanation:
Add the probabilitys 1/2 plus 1/2 to get 1/4
Which of the following expressions has a value of -3? Select all that apply.
A) 27÷9
B) 24÷−8
C) −15÷5
D) −33÷11
E) 36÷−12
Answer:
B) 24÷ −8
C) −15÷5
D) −33÷11
E) 36÷ −12
Step-by-step explanation:
Hope it helps you in your learning process
B) 24÷ −8 = - 3
C) −15÷5 = - 3
D) −33÷11 = - 3
E) 36÷ −12 = - 3
Answer:
Letters B, C, D, and E
Step-by-step explanation:
A) 27/9=3
B) 24/-8=-3
C) -15/5=-3
D) -33/11=-3
E) 36/-12=-3
Hope this helps.
Uma fábrica produz 3.967 lápis feitos com madeira reflorestada por dia. Se essa produção diária for mantida, quantos lápis serão produzidos em 28 dias?
Responder:
111076 lápis
Explicação passo a passo:
Dado :
Número de lápis produzidos por dia = 3967 lápis
Se a produção diária for mantida, o número de lápis produzidos em 28 / dias será;
Produção diária * Número de dias
3967 * 28
= 111076 lápis