Answer:
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Step-by-step explanation:
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HELP NEED THIS FOR A TEST!!! 20 POINTS!!
Diego's family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when remaining fuel is 1.5 gallons or less.
Answer:
a.
capacity of car = 14 gallons
consumption of fuel in one day = 0.6 gallons
consumption of fuel in 14 days = 14 x 0.6 = 8.4 gallons
fuel remaining in car = 14 - 8.4 = 5.6 gallons
so they can drive the car without warning.
b.
consumption of fuel in one day = 0.6 gallons
consumption of fuel in 25 days = 25 x 0.6 = 15 gallons
fuel remaining in car = 14 - 15 = -1 gallons
so they can't drive the car without warning.
c.
the expression 14 - 0.6t represents remaining fuel in the vehicle, where t represents number of days.
d.
14 - 0.6t = 1.5
or - 0.6t = 1.5 - 14 = - 12.5
or t = -12.5 / - 0.6
or t = 20.8333 days
so he can drive 20 days without warning. E.
14 - 0.6t < 1.5
or t < 20.8333
here t represents number of days car can drive without warning light.
Step-by-step explanation:
The inequality is
The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days
14 gallons-1.5 gallons=12.5 gallons
we know that
If the remaining fuel is greater than 1.5 gallons Diego's father can drive the car without the warning light coming on
so
Let
x ----> the number of days
----> inequality that represent the situation
Solve for x
The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days
Find a solution to the equation 4(x + 7) = 38
Answer:
4(x+7)=38
4x+28=38
4x=38-28
4x=10
(divide by 4)
x=2whole number 2/4
=2whole number 1/2
or x=2.5
To decide if 12.5 centimeters is greater than 140 millimeters, the first step is to set up a proportion. Which of the following proportions are correct?
A. 10mm/1cm = x/140mm
B. 1cm/10mm = 12.5cm/x
C. 10mm/1cm = 140mm/x
D. 12.5mm/1cm = 140mm/x
You told your friend that you could eat 3/5 of a large pizza. If you only ate 1/2 of what you said you could eat, what fraction of a large pizza did you eat?
Answer:
3/10
Step-by-step explanation:
3/5 is equal to 6/10, and half of 6/10 is 3/10
Answer:
3/10
Step-by-step explanation:
Amount of pizza u told= 3/5
Amout u could eat of wht u told = 1/2
Amount u could eat of pizza = 3/5 x 1/2 = 3/10
(calculation attached below)
I hope im right!!
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What’s the answer!???
answer is $30
looks like u cheating
cos B =
tan B =
sin B =
The three main trig functions are sine (written as sin), cosine (written as cos), and tangent (written as tan).
Sine of an angle = the length of the side opposite (aka across) the angle / the length of the hypotenuse
Cosine of an angle = the length of the side adjacent (aka the side next to which isn't the hypotenuse) to the angle / the length of the hypotenuse
Tangent of an angle = the length of the side opposite of the angle / the length of the side adjacent to the angle.
The acronym to remember this is SOHCAHTOA
SOH | CAH | TOA
SOH means sin(x) = opposite/hypotenuse
CAH means cos(x) = adjacent/hypotenuse
TOA means tan(x)= opposite/adjacent
cosB = length of adjacent side/length of hypotenuse = 7/25
tanB = length of opposite/length of adjacent = 24/7
sinB = length of opposite/length of hypotenuse = 24/25
Find the surface area and volume of the prism.
5 cm
10 cm
4 cm
3 cm
cm?
The surface area of the prism is
The volume of the prism is
cm?
The surface area of the prism is 456cm² and the volume is 408cm³
What is a prism?A prism is a solid shape that is bound on all its sides by plane faces. There are two types of faces in a prism. The top and bottom faces are identical and are called bases. A prism is named after the shape of these bases. For example, if a prism has a triangular base it is called a triangular prism.
here, we have,
The formula for the surface area of a prism is SA=2B+ph, where B, again, stands for the area of the base, p represents the perimeter of the base, and h stands for the height of the prism.
Base area = 1/2× 8× 6
= 4×6 = 24 cm²
perimeter of the base = 6+8+10 = 24cm²
therefore SA = 2(24)+24×17
= 48+408
= 456cm²
Volume of the prism = base area × height
= 24 × 17
= 408cm³
learn more about prism from
brainly.com/question/23963432
#SPJ2
complete question:
attached
Write an equation of the line that passes through the given point and has the given slope.
(4, 3); slope 1/2
Answer:
y = 1/2x + 1
Step-by-step explanation:
m = 1/2
Slope-intercept:
y - y1 = m(x - x1)
y - 3 = 1/2(x - 4)
y - 3 = 1/2x - 2
y = 1/2x + 1
What is the volume of a sphere with a radius of 6.9 ft
please help me i really need it
Answer:
top right is the hypotenuse, top left is a leg, bottom right is a leg
Step-by-step explanation:
Every triangle has 2 legs and 1 hypotenuse. The hypotenuse is always the longer side and across the 90 degree angle. All of the other sides would be called the legs because they are not the hypotenuse
PLEASE HELP ASAP
find JL
Answer:
7
Step-by-step explanation:
Of 120 owners of reptiles surveyed, 27 own snakes as pets. What percent of
the reptile owners own snakes as pets?
Answer:
22.5%
Step-by-step explanation:
Consider the figure shown. what is the measure of the given angles?
Step-by-step explanation:
180°=46° +2x=> 2x=134°=>x=67°
x+y=180°=>y=180° -x=>y= 180°-67°=>y=113°
Help please!!
Rogelio has $34 and he wants to buy a jacket for $75. He works with
his uncle on the weekends for $8 an hour.
Which inequality represents the number of hours (h) Rogelio could
work to earn at least enough money to buy the jeans?
hi i would rly appreciate ur help on this. I need to write these expressions as products:
1. ((a+1)^3)+(x^3)
2. ((y-2)^3)-27
3.((a-b)^3)+b^3
4. (8x^3)+((x-y)^3)
5. (27a^3)-((a-b)^3)
Thank you so much i rly appreciate it
Answer:
1.) ((a+1)^3)+(x^3) = a^3 + 3a^2 + 3a + x^3 + 1
2.) ((y-2)^3)-27 = (y^2-y + 7) x ( y - 5 )
3.) ((a-b)^3)+b^3 = a (a^2 - 3ab + 3b^2 )
4.) (8x^3)+((x-y)^3) = 9x^3 -3x^2 y + 3xy^2 - y^3
5.) (27a^3)-((a-b)^3) = 26a^3 + 3a^2 b - 3ab^2 + b^3
5) factor = (a+b)(a+b)^ 2 if a is squared and if b is cubed and moved over to = 0 then we can find (a+b)(a+b)^2 but in all cases of quadratics you can set (x -1 ) = 1 and (x-1 ) = 1 so they are always positive. Which is the same if they start of negative.
For question 5 we have a factor solved (a+b)(a+b)^ 2
Which means the same as this expansion
(
The final price of an iPhone 12 Pro Max was $1072.85 after a 7.5% sales tax was applied. What was the original cost of the phone? Please explain
Answer:
992.39
Step-by-step explanation:
sales tax was 80.46 subtract from 1072.85 get 992.39 original price.
Solve
7 + x/3 = 2x - 5
Answer:
Exact form: x = 36\5
Decimal form: 7.2
Mixed number form: 7 1\5
What's the distance between -19 and 82?
Answer:
101
Step-by-step explanation:
The diagram below shows a banquet hall’s plans to install a new dance floor.
What is the area of the new dance floor in square feet?
Answer:
333 ft squared
Step-by-step explanation:
18 x 18.5 = 333
Find the number of possible outcomes. A coffee shop offers small, medium, and large sizes. Customers can choose between French roast, Italian roast, and American roast
PLS HELP! ASAP!!!
Answer:
9
3 different sizes times 3 different flavors.
3x3=9
Giving brainliest!!!Please help.. :(
Select the statement that describes this expression: 5 x (3 + 4) − 4.
A) 5 times the sum of 3 and 4, then subtract 4
B) 5 times 3 plus 4 minus 4
C) 5 more than the sum of 3 and 4, and then subtract 4
D) 5 times 3 plus the difference of 3 and 4
A is the answer 5 times the sum of 3 and 4 then subtract 4
Answer:
A
Step-by-step explanation:
A the anser is A deal with it...
Write the fraction as a decimal.
Round to the nearest hundredth.
7/18~ [?]
Answer:
0.39
Step-by-step explanation:
7/18= 3.888888888
round up
0.39
find the inverse of y=100-x^2
Answer:
The inverse is ±sqrt(100-x)
Step-by-step explanation:
To find the inverse, exchange x and y
x = 100 -y^2
Solve for y
Subtract 100 from each side
x - 100 = -y^2
Divide by -1
-x +100 = y^2
Take the square root of each side
±sqrt(100-x) = sqrt(y^2)
±sqrt(100-x) =y
The inverse is ±sqrt(100-x)
Need help ill give brainliest to the correct answer
Answer:
i think that the answer is y = 3x- 1
Linda made $228 for 12 hours of work. At the same rate, how many hours would she have to work to make $133?
Step-by-step explanation:
228 ÷12 =19
So 19 dollars per hour
Now 133÷19= 7 hours
Write the equation in slope-intercept form: 2x + y =3
y= 2x + 3
y= -2x -2
y= -2x + 3
y= 2x-3
Cody says that dividing a unit fraction by a whole number is the same as multiplying the unit fraction by a unit fraction with the whole number as the denominator.
Which of the following supports Cody's reasoning?
A.
1
4
÷
3
=
1
12
and
4
×
3
=
12
B.
1
4
÷
3
=
1
12
and
1
4
×
1
3
=
1
12
C.
1
4
÷
3
=
1
12
and
3
÷
1
4
=
12
D.
3
÷
1
4
=
12
and
3
×
4
=
12
Answer:
c
Step-by-step explanation:
i took a test on it
What is the percent decrease from 20 to 11?
Answer:
The decrease from 20 to 11 is 9, and that is 45% of 20.
Hope this helps!
In the diagram, the measures of 22, 23 and 26 are 40°. The measure of 21
is 140°. Are lines cand d parallel?
Answer:
c. Yes because ∠2 and ∠6 are congruent.
Step-by-step explanation:
From the picture attached,
m(∠2) = m(∠3) = m(∠6) = 40°
m(∠1) = 140°
Since (∠2 ≅ ∠6) (corresponding angles)
Therefore, by the converse theorem of corresponding angles lines c and d are parallel.
Option c is the answer.