Answer:
Step-by-step explanation: 1/4 will be about 4-5 with the reserve. You should be able to cover about 120 — 150 miles on that. Don't push your luck. Always keep your tank at least half full.
The line lowest to the bottom would mean you have 1/4 of a tank of gas and you should probably fill up soon, below 1/4 would be close to 1/8 of a tank which means get gas now.
A fraction (mathematics) of one fourth, one quarter, 25% or 0.25.
one of the four equal or equivalent parts into which anything is or may be divided. 2. a fourth part, esp. of one (¼).
One-fourth is also called a quarter.
To find one quarter of a number divide the number by 4. So 1640 divided by 4 is 410.
The number of miles travelled by the vehicle in full tank will be 360 miles.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that you can drive 90 miles in 1/4 of a tank of gas in 1 hour. The number of miles will be calculated as,
Number of miles in full tank = 4 x 90
Number of miles in full tank = 360 miles
Hence, in a full tank, the vehicle can travel 360 miles.
To know more about an expression follow
https://brainly.com/question/2353803
#SPJ5
Question
The dimensions of a sports pennant are given in the diagram. Find the values of x and y.
Answer:
x= 79° y= 22°
Step-by-step explanation:
x is the same as 79
79+79= 158
180° in a triangle
180-158= 22°
2. The delivery trucks are all different sizes. That means the workers have to change the number of boxes that go on a truck. Three small delivery trucks can hold 330 boxes. If the same number of boxes is in each truck, how many boxes can one small delivery truck hold?
Answer:
Each small truck can hold a total of 110 boxes.
Step-by-step explanation:
It says three small delivery trucks can hold 330. That meant all three together. So you just have to do 330 divided by 3 and you get 110. So that's the number of boxes ONE small truck can hold. Also, If u do it backward, 3 x 110 =330.
You plan on joining a gym. The joining fee is $30 and you must pay $12 a month fee. If you have $100, how many months can you use the gym? Write and solve an inequality to represent the solution.
I need the process for this otherwise I won't get credit for it!!
Answer:
Inequality: 30+12x < 100
x ≈ 5 months
Step-by-step explanation:
To solve, first create the inequality. In this problem, 30 dollars is the flat fee for joining the gym and thus a constant. Additionally, 12 is the monthly payment and thus the coefficient for a variable because it changes with the number of months. Finally, 100 is the most that can be spent (the max), so it should be on the other side of the inequality and the sign should be less than or equal to 100.
This makes the inequality: 30+12x < 100
To find the number of months solve the inequality for x.
30+12x<10012x<70x<5.8So, the inequality equals x<5.8. However, the question asks for the number of full months. And, no more than 100 dollars can be spent. So, while you would normally round up. In this case, you must round down to 5 months.
Solve the math problem
Answer:
1 -66
2. 162
3.11/-2
4. 8/-11
5.12/0
6. 0
7. 15/14
8. 2/-5
Step-by-step explanation:
Please help me asap
The line passing through which two points is perpendicular to the line 10x + 2y = 2?
A.) (-2, -7) and (1, 8)
B.) (-5, 5) and (0, 4)
C.) (0,-9) and (5, -8)
D.) (-4, 12) and (-2,2)
E.) (-2, 11) and (1, -4)
Considering the definition of perpendicular line, the correct option is option C): the line passing through (0,-9) and (5, -8) is perpendicular to the line 10x + 2y = 2.
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.
m is the slope.
b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.
Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m of said line can be calculated using the following expression:
m= (y₂ - y₁)÷(x₂ - x₁)
Perpendicular linePerpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.
Perpendicular line in this caseIn this case, the line is 10x + 2y=2. Expressed in the form y = mx + b, you get:
2y=2 - 10x
y= (-10x +2)÷ 2
y= -10/2x +2/2
y= -5x +1
The line has a slope of -5. If you multiply the slopes of two perpendicular lines, you get –1, you get:
-5× slope perpendicular line= -1
slope perpendicular line= (-1)÷ (-5)
slope perpendicular line= 1/5
The line through two points must have a slope equal to 1/5. So you calculate the slope of each line that passes through two points as follows:
(x₁, y₁)= (-2, -7) and (x₂, y₂)= (1, 8): m= (8 - (-7))÷(1 - (-2)) → m= (8+7)÷ (1+3) → m= 15÷4= 15/4(x₁, y₁)= (-5, 5) and (x₂, y₂)= (0, 4): m= (4- 5)÷(0 - (-5)) → m= (-1)÷ (0 + 5) → m= -1÷5= -1/5(x₁, y₁)= (0, -9) and (x₂, y₂)= (5, -8): m= (-8 - (-9))÷(5 - 0) → m= (-8+9)÷ (5) → m= 1÷5= 1/5(x₁, y₁)= (-4, 12) and (x₂, y₂)= (-2, 2): m= (2 - 12)÷(-2 - (-4)) → m= (-10)÷ (-2+4) → m= -10÷2= -5(x₁, y₁)= (-2, 11) and (x₂, y₂)= (1, -4): m= (-4 -11)÷(1 - (-2)) → m= (-15)÷ (1+2) → m= -15÷3= -5Since the perpendicular line must have a slope equal to 1/5, the line passing through (0,-9) and (5, -8) is the correct line.
Learn more about perpendicular line:
brainly.com/question/7197064
brainly.com/question/11470863
brainly.com/question/7280013
#SPJ1
help Pleasee asap !!
A = 1 and B = 5
3a + 11 = 14 || 3a = 3 || a = 1
7b - 13 = 22 || 7b = 35 || b = 5
Answer:
A= 1
B = 5
Step-by-step explanation:
3a + 11 = 14
A = 1
7b - 13 = 22
7b = 35
B = 5
plz help :)))) i need asap
Answer:
IJM and NMJ
Step-by-step explanation:
They're on alternate sides and on the interior of the complex.
Answer:
<IJM and <NMJ
Step-by-step explanation:
Alternate interior angles are angles which are inside the parallel lines and on alternate sides of the third line.
In this case they correspond to <IJM and <NMJ
make a conjecture (prediction) about the table. what will happen if we continue the table, going down?
Please help the screenshot is below. Find the domain. THE ANSWER IS NOT x≠2.
Answer:
x>2 or (2,∞)
Step-by-step explanation:
if x≤2, 3*|2-x| = 3*(2-x) = 6-3x
3*|2-x| +3x-6 = (6-3x) + 3x-6 = 0 ... f(x) -> ∞ denominator = 0
if x>2, 3*|2-x| = 3*-(2-x) = -6+3x
3*|2-x| +3x-6 = (-6+3x) + 3x-6 = 6x - 12 >0
Which statement is true?
A. 4.273 > 4.289
B. 5.306 > 5.360
C. 6.724 > 6.719
D. 7.428 < 7.423
Answer:
C
Step-by-step explanation:
6.724 is larger than 6.719
Triangle EFG is dilated by a scale factor of \frac{2}{3}
3
2
to form triangle E'F'G'. What is the measure of side FG?
Answer:
B. 36°
Step-by-step explanation:
Dilation does not change the angle measures or the direction of the lines. Angle F is the same as corresponding angle F'.
Jessica and her family bought 5 tickets to a
music concert. Tickets for adults cost $5.10 and
tickets for children cost $3.60. Jessica and her
family spent a total of $21. How many tickets
for adults (a) and how many tickets for children
(c) did they buy?
a + c = 5
5.1a + 3.6C = 21
[?] adults [ ] children
Step-by-step explanation:
work is shown and pictured
Alberto has $2.25 in dimes and nickels in his pocket. He has nine more nickels than dimes. How many of each type of coin does he have?
I really need help!
Alberto has 12 Dimes and 21 Nickels in his pocket.
How many of each type of coin does he have?Dimes value = 0.10$
Nickels value = 0.05$
Let d = number of dimes = 0.10d
Let d+9 = number of nickels = 0.05(d + 9)
Value of the Dimes + Value of the Nickels = total value of the coins
Write the equation:
0.10d + 0.05(d + 9) = 2.25
Distribute:
0.10d + 0.05d + 0.45 = 2.25
0.15d + 0.45 = 2.25
Subtract 0.45 from each side:
0.15d = 1.80
Divide to find the number of dimes.
d = 12
The number of nickels is d +9 = 12 + 9 = 21
Alberto has $2.25 in dimes and nickels in his pocket. He has 12 Dimes and 21 Nickels in his pocket.
Learn more about problem-solving here: brainly.com/question/23945932
#SPJ2
Please Help! NO LINKS !!!!!
Answer:
I'll try to help gimme a min
what is the answer to 5+9
Answer:
14
put the biggest number in the from and the smallest number in the back then add it
Mali has half of the cost of a day trip to a theme park for two people, and Sarah has one-third of the cost. What fraction of the cost do they have?
Answer:
5/6
Step-by-step explanation:
1/2=3/6
1/3=2/6
2/6+3/6=5/6
e
Week 6: Culmination Knowledge Check
CLEAR MY CHOICE
Question 8
You buy milk in 1-gallon containers. One portion of waffles requires 2 ounces of milk. How many portions can be made with one container? Select one
a 128
b. 16
c. 32
d. 64
CLEAR MY CHOICE
Question 9
You have 24 quarts of brown stock. You need 75 cups to make one serving of kidney beans. How many servings can you make? Select one
For what value of x is d || e? Then find the measure of the labeled angles.
Answer:
THAT QUESTION WILL BE ANSWERED THIS SUNDAY NIGHT!
10x + 44
8x - 23
It’s solving for X in triangles
Answer:
x=33.5
Step-by-step explanation:
Identify the restrictions on the domain of f(x) =
X +5
X-2
Ox#5
OX-5
Ox=2
Ox= -2
What is the solution to the equation?
a+5 2/3=9
Answer:
A= 3 1/3
Step-by-step explanation:
a cottage is on a bearing of 200° and 110° from Dogbe's and Manu's farm respectively. If Dogbe walked 5km and Manu 3km from the cottage to their farm, find and correct to 2 s.f the distance between the two farms and correct to the nearest degree, the bearing of Manu's farm from Dogbe's
PLEASE NOTE: DOGBE AND MANU ARE NAMES
Based on the drawing obtained from the description, the location of
Manu's farm is located relatively south to Dogbe's farm.
The distance between the two farms is approximately 3.8 kmThe bearing of Manu's farm from Dogbe is approximately 238°Reasons:
The bearing of the cottage to Dogbe's farm = 200°
The distance Dogbe walks from the cottage to his farm = 5 km
The bearing of the cottage from Manu's farm = 110°
The distance Manu walks from the cottage to his farm = 3 km
Required:
The distance and between the two farms.
Solution:
Please find attached a drawing showing the position of the cottage
By cosine rule, we have;
a² = b² + c² - 2·b·c·cos(A)Where;
b = The distance Dogbe walks from the cottage to his farm = 5 km
c = The distance Manu walks to his farm from the cottage = 3 km
a = The distance between the two farms = d
A = The angle between the paths to the cottage from the farms = 50°
By plugging in the values, we have;
d² = 5² + 3² - 2 × 5 × 3 × cos(50°)
d = √(5² + 3² - 2 × 5 × 3 × cos(50°)) ≈ 3.8
The distance between the two farms, d ≈ 3.8 kmRequired:
The bearing of Manu's farm from Dogbe's
Solution:
By sine rule, we have;
[tex]\displaystyle \frac{3}{sin(C)} = \mathbf{ \frac{d}{sin(50^{\circ})}}[/tex]Which gives;
[tex]\displaystyle sin(C) = \mathbf{\frac{3 \times sin(50^{\circ})}{\sqrt{5^2 + 3^2 - 2 \times 5 \times 3 \times cos(50^{\circ})} }}[/tex]
[tex]\displaystyle \angle C = arcsine \left(\frac{3 \times sin(50^{\circ})}{\sqrt{5^2 + 3^2 - 2 \times 5 \times 3 \times cos(50^{\circ})} } \right) \approx 38 ^{\circ}[/tex]
The bearing of Manu's farm from Dogbe's = 200° + ∠C
Therefore;
The bearing of Manu's farm from Dogbe's ≈ 200° + 38 = 238°Learn more about bearings in mathematics here:
https://brainly.com/question/10710413
A sum of money is shared in the ratio 3:7.
If the smaller share is $450, what is the
8
larger share?
(A) $315
(B) $1050
$1500
(D)
$3150
| (C)
Answer:
B) $1050
Step-by-step explanation:
[tex]450(7/3)=(450)(7)/3=3150/3=1050[/tex]
Hope this helps
What is the x-intercept of the line with this equation 1/3x + y =-15?
Enter your answer in the box.
( ,0)
Answer:
(-45,0)
Step-by-step explanation:
??????????????????????????????????????????????
Answer:
C. No, because one x-value corresponds to two different y-values.
Step-by-step explanation:
solve pls brainliest
Answer:
Yes, This is a repeating decimal
No, This is a decimal that neither terminates or repeats
No, This is a decimal that neither terminates or repeats
Yes, This is a terminating decimal
name the congruent triangles
will give brainliest
Answer:
ΔOGD ≅ΔPRC
Step-by-step explanation:
SAS
if my perimeter is 17 then how much is n in this question/photo?
Answer:
hope it helps you........
purchased two candles from Target. The first candle has a height of 10 inches and burns at a rate of 3 inches per hour. The second candle has a height of 8 inches and burns at a rate of 2 inches per hour. After how many hours will both candles be at the same height?
Answer:
In 2 hours
Step-by-step explanation:
10/3 8/2
10-6 = 4
6 from 3*2(aka the hours)
8-4 = 4 from 2*2(aka the hours)
you can also set this up like
10-3x=8-2x and solve for it
Answer: At the 2 hour mark.
Step-by-step explanation:
10-3=7. 7-3=4
8-2=6. 6-2=4
a number of students are standing in a circle. they are evenly spaced and the fith student is directly opposite the eleventh student. how many students are there all together
Answer:
There would be 12
Step-by-step explanation:
