The trip odometer reading will be between 378.3 km and 378.4 km. Nominally, it will read 378.3 km.
you save 2/5 of your allowance every week. if you receive $40 per week
how much money will you have after 8 weeks
Answer:
$128
Step-by-step explanation:
2/5 × $40= $16
$16×8= $128
What is the simple interest on $7430 invested for 3 years at 5% per annum simple interest?
Step-by-step explanation:
Simple interest=principal× time× rate/100
=7430×3×5/100
=1114.5
Answer:
114.5
Step-by-step explanation:
Work out the size of angle X ?
Answer:
x = 121°
Step-by-step explanation:
∠ 1 + 115° = 180°
∠ 1 = 180 - 115
∠ 1 = 65°
∠ 2 + 304° = 360°
∠2 = 360 - 304
∠ 2 = 56°
∠ 1 + ∠ 2 + ∠ 3 = 180°
65° + 56 ° + ∠ 3 = 180°
∠3 = 180 - 65 - 56
∠ 3 = 59°
∠3 + x = 180°
59° + x = 180°
x = 180 - 59
x = 121 °
Which expression has an equivalent value to x2 + 9x + 8 for all values of x?
(x + 1)(x + 8)
(x + 2)(x + 6)
(x + 4)(x + 4)
(x + 5)(x + 4)
Chris is playing a card game with his friends. The game uses only the four aces from a standard deck of cards. For each move, a player draws one card, replaces it, and then draws the second card.
Answer:
1/4
Step-by-step explanation:
Let's call the aces for hearts, diamonds, clubs, and spades. So, are red and [tex] c, s[/tex] is black.
Since the first card is replaced, the two picks are identical. This means that the sample space is given by all the possible couple
There are 16 such couples (we have four choices for the first card, and the same four choices for the second card). Now let's compute the odds in our favor to deduce the probability of winning:
If we want a player to draw two cards of the same color, the following couples are good:
so 8 possible couples over 16. This means that a player's probability of drawing two cards of the same color is 8/16 = 1/2.
Similarly, the probability of drawing a red ace first and then a black ace is represented by the following couples:
which are 4 over the same 16 as above, thus leading to a probability of 4/16 = 1/4.
For triangle ABC C = 90 Side AC = 13.5 Side BC = 8.6 Find the measure of angle B
Answer:
57.5°
Step-by-step explanation:
For triangle ABC C = 90 Side AC = 13.5 Side BC = 8.6 Find the measure of angle B
We solve using the Trigonometric function of Tangent
tan θ = Opposite/Adjacent
θ = Angle B
Opposite = Side AC 13.5
Adjacent = Side BC = 8.6
Hence:
tan θ = 13.5/8.6
θ = arc tan (13.5/8.6)
θ = 57.501354056°
Approximately = 57.5°
Therefore, Angle B = 57.5°
I need help on both questions!
Answer:
9 sq.m
Step-by-step explanation:
because the area of triangle is 1/2 *b*h
Answer:
The area of the triangle is 9 sq. m.
Step-by-step explanation:
The formula of a triangle is 1/2 BH (Base times height divided by two) therefor 6x3/2 is 9, so your answer is 9 sq. m.
David bought a chain of fast food restaurants that operated 200 stores in 2009. The number of restaurants has grown at a rate of 12% annually
Complete Question
David bought a chain of fast food restaurants that operated 200 stores in 2009. The number of restaurants has grown at a rate of 12% annually.how many stores does the restaurant operate in 2020?
Answer:
[tex]N_{11} \approx 749[/tex]
Step-by-step explanation:
From the question we are told that:
Number of Fast Food Restaurants [tex]P=200[/tex]
Number of years [tex]t=11yrs[/tex]
Rate [tex]r=12%[/tex]
Generally the equation for the Number of restaurant in operation in 2020 is mathematically given by
[tex]N(t)=Pe^{rt}[/tex]
Therefore
For t=11
[tex]N_{11}=200*e^{0.12*11}[/tex]
[tex]N_{11}=748.7[/tex]
[tex]N_{11} \approx 749[/tex]
Robert has 3.38 pounds of cat food he uses 0.26 of cat food to feed one cat how many cats can Robert feed with the cat food he has
Answer:
Robert can feed 13 cats.
Step-by-step explanation:
To solve this we simply divide.
3.38 divided by 0.26 = 13
Therefore Robert can feed 13 cats.
does anyone know the answer?
Answer:
x = 145
Step-by-step explanation:
The angles are same side exterior angle and same side exterior angles are supplementary
x +35 =180
Subtract 35 from each side
x = 180-35
x =145
Answer:
x=145
Step-by-step explanation:
180 -35 = 145
angle in a straight line add up to 180
x=145
F angle /corresponding angle are the same
Need help !!!!!!!!!!!!!!!!! This is a shape that is required to be broken up into multiple parts to find the total volume.
What is the total volume of this shape?
can someone help please !! giving brainlist to anyone who answers
3 is the correct one!
If h(2) = 5 – 722, what is h(-1)?
Answer:
Step-by-step explanation:
Aseem and Stana are building model cars. stanas car is 5 less than 2 times the length of Aseem's car. The sum of the lengths of both cars is 20. write an equation to determine the lengths of Aseem's and Stana's cars
Answer:
Aseem’s : 8.3, Stana’s : 11.6
Step-by-step explanation:
Aseem: x
Stana: 2x-5
X+2x-5=20
3x=25
X = 8.3
Math question, please help
==========================================================
Explanation:
Let's say that a = 25, b = 37 and c = 32 are the side lengths.
The uppercase letters A,B,C are opposite their lowercase counterparts.
That means angle A is opposite side a = 25
Apply the law of cosines to find angle A
a^2 = b^2 + c^2 - 2*b*c*cos(A)
25^2 = 37^2 + 32^2 - 2*37*32*cos(A)
625 = 1369 + 1024 - 2368*cos(A)
625 = 2393 - 2368*cos(A)
625 - 2393 = -2368*cos(A)
-1768 = -2368*cos(A)
-2368*cos(A) = -1768
cos(A)= (-1768)/(-2368)
cos(A) = 0.746621621621622
A = arccos(0.746621621621622)
A = 41.7014263373247
A = 41.7
Find the missing angle
Answer:
∅ ≈ 34º
Step-by-step explanation:
sin = opp/hyp
∅ = arcsin opp/hyp
∅ = arcsin 14/25
Use calculator
∅ = 34.055797742567906
∅ ≈ 34º
Answer:
is 55
Step-by-step explanation:
×[tex]\frac{x}{1}*\frac{14}{25}[/tex]⇒0.56
cos0.56
55
Which of the following is(are) the solution(s) to 16x-51- 7?
O A. X=
3
O B. x= -2
O C. X= 2-
OD. x = 2
Answer:
C
Step-by-step explanation:
Given
| 6x - 5 | = 7
The absolute value function always gives a positive value, however, the expression inside can be positive or negative, that is
6x - 5 = 7 ( add 5 to both sides )
6x = 12 ( divide both sides by 6 )
x = 2
OR
- (6x - 5) = 7 ← distribute parenthesis on left side by - 1
- 6x + 5 = 7 ( subtract 5 from both sides )
- 6x = 2 ( divide both sides by - 6 )
x = [tex]\frac{2}{-6}[/tex] = - [tex]\frac{1}{3}[/tex]
Then solutions are x = 2, x = - [tex]\frac{1}{3}[/tex] → C
Math help please help thanks
Answer:
62
Step-by-step explanation:
Draw a line from the bottom of the 4 foot line straight across (horizontally) until it hits the vertical line on your left.
The two lines (the one you drew and the left vertical line) meet at right angles.
The upper figure is a rectangle.
Area = L * W
L = 5
W = 4
Area = 5 * 4
Area = 20
Now the bottom rectangle can be found the same way.
Area = L * W
L = 14
W = 3
Area = 14 * 3
Area = 42
The total area = 42 + 20
Total area = 62.
The comment was correct.
The isosceles triangle has a perimeter of 7.5 m.
Which equation can be used to find the value of x if the
shortest side, y, measures 2.1 m?
y
O 2x-2.1 = 7.5
O 4.2 + y = 7.5
X
O y-4.2 = 7.5
0 2.1 + 2 x = 7.5
Mart this and return
Save and Exit
Next
Submit
Answer:
Option d) 2.1 + 2x = 7.5
Step-by-step explanation:
An isosceles triangle is a triangle with two equal sides.
Perimeter of a triangle is some of all the 3 sides.
Let the equal sides be x
Let the third side be y
Therefore,
Perimeter = x + x + y
7.5 = 2x + y
7.5 = 2x + 2.1 [ given shortest side, y = 2.1m ]
Solve the following word problems : 1. The sum of two consecutive numbers is 51, find them.
Answer:
25 and 26
Step-by-step explanation:
25+26=51
Hope this helps! :)
Answer and Step-by-step explanation:
We can represent the equation like this:
x + (x + 1) = 51, where x is a number and x + 1 is the consecutive number.
Solve for x.
Add the x's together.
2x + 1 = 51
Subtract 1 from both sides of the equation.
2x = 50
Divide 2 on both sides of the equation.
x = 25
So, the numbers are 25 and 26.
25 + 26 = 51
#teamtrees #PAW (Plant And Water)
The volume of the following figure is
240 in² which of the following is the missing side length?
A. 7 in
B. 6 in
C. 8 in
D. 5 in
Answer:
B cause it same
Step-by-step explanation:
If am wrong correct me thanks
Finding the volume of the sphere
Answer:
16
Step-by-step explanation:
correct me if im wrong
if iam right follow me heart this answer
carry on learning
yourhelpinghandishereforyou
Answer:
V≈2144.66058
Step-by-step explanation:
V=(4/3)(π)r^3
V=(4/3)(π)(8)^3
V≈2144.66058
⚠️6TH GRADE MATH⚠️
Six percent of the sale price of a home
goes to the real estate agents as their
commission. The buyer's agent and
the seller's agent split the commission
evenly. How much commission does
each agent get when they complete
the sale of a $340,000 house?
Answer:
10200
Step-by-step explanation:
0.06*340,000=20400
20400÷2=10200
pls help me on this i don't know what to do
Answer:
D.
Step-by-step explanation:
Standard Form (Quadratic): [tex]y=ax^2+bx+c[/tex]
Vertex Form (Quadratic): [tex]y=a(x-h)^2+k[/tex]
Intercept Form (Quadratic): [tex]y=a(x-p)(x-q)[/tex]
p,q are x-intercepts
x-intercepts given in graph: -2,4
[tex]y=a[x-(-2)](x-4)[/tex]
eqn 1: [tex]y=a(x+2)(x-4)[/tex]
Plug in the given point to find 'a' : (3,-5)
[tex]-5=a(3+2)(3-4)[/tex]
[tex]-5=a(5)(-1)[/tex]
[tex]1=a[/tex]
Substitute 'a' in to eqn 1.
[tex]y=1(x+2)(x-4)[/tex]
eqn 2: [tex]y=(x+2)(x-4)[/tex]
Expand eqn 2. (can use FOIL)
[tex]y=x^2-2x-8[/tex]
Darcy harvests 8.3/4 acres of corn every 5/6 end fraction of an hour. Darcy harvests corn at a constant rate. How many acres does she harvest per hour?
Given:
Darcy harvests [tex]8\dfrac{3}{4}[/tex] acres of corn every [tex]\dfrac{5}{6}[/tex] of an hour.
Darcy harvests corn at a constant rate.
To find:
How many acres does she harvest per hour?
Solution:
We have,
Acres harvest in [tex]\dfrac{5}{6}[/tex] of an hours = [tex]8\dfrac{3}{4}[/tex]
Acres harvest in 1 hour = [tex]8\dfrac{3}{4}\times \dfrac{6}{5}[/tex]
= [tex]\dfrac{32+3}{4}\times \dfrac{6}{5}[/tex]
= [tex]\dfrac{35}{4}\times \dfrac{6}{5}[/tex]
Cancel out the common factors, we get
Acres harvest in 1 hour = [tex]\dfrac{7}{2}\times \dfrac{3}{1}[/tex]
= [tex]\dfrac{21}{2}[/tex]
= [tex]10\dfrac{1}{2}[/tex]
Therefore, she can harvest [tex]10\dfrac{1}{2}[/tex] acres of corn per hour.
Help, need index form
Refer to the attachment for complete calculation.
3²× 11^-9
Use a number line to find the difference. -2 - (-6)
Answer:
-2 + 6 = 4
Step-by-step explanation:
What point is 2/3 of the distance from point A(3, 1) to point B(3, 19)?
Answer:
(3,13)
Step-by-step explanation:
Since Point A(3,1) and point B(3,19) is 18 units away we find 2/3's of 18 then add that to point A. 2/3's of 18 is 12 so the point we are looking for is (3,13)
(3,13) is the point that is 2/3 of the distance from point A(3, 1) to point B(3, 19).
What is distance?Distance exists as a numerical measurement of how far apart objects or points exist. In physics or everyday usage, the distance may be direct to a physical length or an estimation established on other criteria. The distance from point A to point B exists sometimes represented as |AB|.
As the point A(3,1) and point B(3,19) is 18 units away,
2/3 X 18 then add that to point A
2/3 X 18 = 12 so the point we are looking for is (3,13)
To learn more about distance refer to:
https://brainly.com/question/17273444
#SPJ2
An aquarium store recommends that the minimum size for a goldfish tank is 5.8 gallons plus an additional 0.6 gallon for each
fish that is added to the tank. Which expression represents the minimum number of gallons needed in a tank for x fish?
Answer: 5.8 +0.6x
Step-by-step explanation:
Help me with this!!!
Answer:
4th answer
Step-by-step explanation:
g(h(x)) means to put the formula for h(x) into the formula for g( ).
[tex]g(h(x))=g(2x-2)=-3(2x-2)^3-2(2x-2)^2\\=-3(8x^3-24x^2+24x-8)-2(4x^2-8x+4)\\=-24x^3+72x^2-72x+24-8x^2+16x-8\\=-24x^3+64x^2-56x+16[/tex]
Cubing the binomial 2x - 2 can take some time!