Rob is a high school student taking both algebra and geometry. Last night he had 27 homework problems combined from the two classes, and he took a total of 90 minutes to do them. If each algebra problem took him 2 minutes and each geometry problem took him 5 minutes, how many algebra problems did he have for homework?
2
5
12
15
Answer:
15
Step-by-step explanation:
Let x represent the number of algebra problems. Then the number of geometry problems was 27-x and the total working time was ...
2x +5(27 -x) = 90
-3x = 90 -135 . . . . subtract 135
x = -45/-3 = 15 . . . divide by -3
Rob had 15 algebra problems for homework.
Answer:
15 problems
Step-by-step explanation:
A car travels for 18 minutes at an average of 72km/h.
How far will the car travel in 18 minutes?
Answer:
21.6 Kilometers
Step-by-step explanation:
We know that every hour has 60 minutes, so the car travels at [tex]\frac{72}{60}[/tex] kilometers per minute. Multiplying this by 18 gives [tex]18*\frac{72}{60}=21.6[/tex] kilometers.
A florist needs to make 25 centerpieces for a large wedding reception. Each
centerpieces requires 7 roses. If the florist can only buy roses by the dozen,
what is the least number of roses that the florist must buy?
HELP ME ASAP !!!
Answer:
57
Step-by-step explanation:
when you multiply 7x25 you get 675 then divide by 12 you get 56.25 meaning you need one more so you get 57
Which graph shows the solution set for 2 x + 3 greater-than negative 9?
A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the left of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.
Correct option is D) A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.
Step-by-step explanation:
We have following inequality :2 x + 3 greater-than negative 9 or ,
⇒ [tex]2x+3>-9[/tex]
Let's solve this :
⇒ [tex]2x+3>-9[/tex]
⇒ [tex](2x+3)+9>-9+9[/tex]
⇒ [tex]2x+12>0[/tex]
⇒ [tex](2x+12)-12>0-12[/tex]
⇒ [tex]2x>-12[/tex]
⇒ [tex]x>-6[/tex]
So , the value of x is greater then -6 . So , Correct option is D) A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.
Answer:
The person in the comments said...
The answer is c. When your dividing by a negative number the arrow is turned around.
Step-by-step explanation:
Hi, have a great day/night whichever one, stay safe and always be kind ^w^
p.s. i'm giving all the credit to the person in the comments
Which describes a uniform probability model?
A) drawing a red or black card from a deck of cards
B) selecting a ball from 2 red balls and 3 yellow balls
C) selecting a sock from 5 black socks and 10 white socks
D) equally divided five section spinner with three colors
Answer:a
Step-by-step explanation:
Jeans are reduced from 28.00 to 18.20 during a sale at a department store. What percentage was the original price reduced?
Answer:
The original price was reduced 35%
Step-by-step explanation:
we know that
Jeans are reduced from $28.00 to $18.20
In this problem
The original price of 28.00 represent 100%
so
using proportion
Find out what percentage represent the difference between the original price and the new price
[tex]\frac{28}{100}=\frac{28-18.20}{x}\\\\x=100(9.8)/28\\\\x=35\%[/tex]
therefore
The original price was reduced 35%
Right Triangle Trig.
The values are vx = [tex]\frac{14\sqrt{3} }{\sqrt{2} }[/tex], vw = [tex]\frac{14\sqrt{3} }{\sqrt{2} }[/tex] and m∠x = 45°, for the given right angle diagram.
Step-by-step explanation:
The given is,
Right angled triangle XVW,
XW = 14[tex]\sqrt{3}[/tex]
m∠V = 90°
m∠W = 45°
Step:1
Given diagram is right angle triangle,
Trigonometric ratios for right angle is,
[tex]sin[/tex] ∅ [tex]=\frac{Opp}{Hyp}[/tex]............................(1)
[tex]cos[/tex] ∅ [tex]= \frac{Adj}{Hyp}[/tex] .........................(2)
[tex]tan[/tex] ∅ [tex]= \frac{Opp}{Hyp}[/tex]..........................(3)
Step:2
For the value of VX,
[tex]sin[/tex] ∅ [tex]=\frac{VX}{XW}[/tex]
From given,
∅ = 45°
XW = 14[tex]\sqrt{3}[/tex]
Above equation becomes,
[tex]sin[/tex] 45 [tex]=\frac{VX}{14\sqrt{3} }[/tex]
Where, Sin 45 = [tex]\frac{1}{\sqrt{2} }[/tex],
[tex]\frac{1}{\sqrt{2} } = \frac{VX}{14\sqrt{3} }[/tex]
[tex]VX = \frac{14\sqrt{3} }{\sqrt{2} }[/tex]
Step:3
For the value of VW,
[tex]cos[/tex] ∅ [tex]=\frac{VW}{XW}[/tex]
From given,
∅ = 45°
XW = 14[tex]\sqrt{3}[/tex]
Above equation becomes,
[tex]cos[/tex] 45 [tex]=\frac{VW}{14\sqrt{3} }[/tex]
Where, cos 45 = [tex]\frac{1}{\sqrt{2} }[/tex],
[tex]\frac{1}{\sqrt{2} } = \frac{VW}{14\sqrt{3} }[/tex]
[tex]VW = \frac{14\sqrt{3} }{\sqrt{2} }[/tex]
Step:4
For the value m∠x = a,
[tex]tan[/tex] a [tex]=\frac{VX}{VW}[/tex]
From given,
VX = [tex]\frac{14\sqrt{3} }{\sqrt{2} }[/tex]
VW = [tex]\frac{14\sqrt{3} }{\sqrt{2} }[/tex]
Above equation becomes,
[tex]tan[/tex] a [tex]=\frac{\frac{14\sqrt{3} }{\sqrt{2} } } {\frac{14\sqrt{3} }{\sqrt{2} } }[/tex]
[tex]tan[/tex] a = 1
a = [tex]tan^{-1}[/tex] (1)
a = 45°
m∠x = a = 45°
Step:5
Check for solution,
m∠v = m∠w + m∠x
= 45° + 45°
90° = 90°
Result:
The values are vx = [tex]\frac{14\sqrt{3} }{\sqrt{2} }[/tex], vw = [tex]\frac{14\sqrt{3} }{\sqrt{2} }[/tex] and m∠x = 45°, for the given right angle diagram.
I kinda know the answer but want to make sure 14 points!
Answer:
Second
Step-by-step explanation:
This question is asking for the largest magnitude. The second is of so. The deeper you go the more negative the number gets as thats how far you are off sea-level.
Answer:
the second one
Explanation: If you got this you are right
Based on the scale drawing, what is the length, in feet, of the actual parking lot? On the drawing they have the width 12.8 cm and the length is 3.2 cm.
Answer:
The width of 48 feet is represented by 12.8cm; the length represented by 1cm is 48/12.8 = 15/4 = 3.75 feet.
The length on the drawing is 3.2cm, which is exactly 1/4 of the width of 12.8cm; therefore the length of the actual parking lot is 48/4 = 12 feet.
To find the actual length of a parking lot based on a scale drawing, you need the scale, which is often given as a ratio like '1 cm : 10 ft'. You would multiply the length on the drawing by the scale value to get the actual length. However, without the scale, a definitive answer cannot be provided.
Explanation:To find the actual length of the parking lot, you need to know the scale of the drawing, which is not provided in the current question. The scale is usually expressed as a ratio, essentially representing a conversion factor. An example could be '1 cm : 10 ft', meaning every one centimeter on the drawing represents ten feet in real life.
Let's say the scale is '1 cm : 10 ft' as an example. You would then multiply the scale value (10 ft) by the length of the parking lot on the drawing (3.2 cm). So: 3.2 cm * 10 ft/cm = 32 ft. Hence, in this example, the actual length of the parking lot would be 32 feet. However, without the scale, we cannot provide a definitive answer.
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1. Find the height of a cylinder with a volume of 30 in) and a radius of 1 in.
Answer:
9.55
Step-by-step explanation:
with a radius of 1 and a volume of 30 the height should be around 9.55
The height of the cylinder is 9.549 in with a volume of 30 cubics in and a radius of 1 in.
It is given that the volume of a cylinder is 30 cubic in and the radius is 1 in.
It is required to find the height of the cylinder.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We know the volume of a cylinder:
[tex]\rm V = \pi r^2 h[/tex]
Where r is the radius of a cylinder and h is the height of the cylinder.
Here V = 30 cubic in and r = 1 in
[tex]\rm 30 = \pi\times 1^2\times h[/tex] or
πh = 30
h = 9.549 in
Thus, the height of the cylinder is 9.549 in with a volume of 30 cubics in and a radius of 1 in.
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Solving a Real-World Problem A kite has a width of 16 inches and a height of 18 inches. Jasmine made three kites like the one shown. How much total material did she use? The area of one kite is in2. The amount of material Jasmine needs for three kites is in2.
The material needed to make 1 kite is 144 square inches and for 3 kites she need 432 square inches of the material.
Step-by-step explanation:
Diagonals of the kite = 16 inches and 18 inches
Area of the kite = (16 x 18) /2
= 144 square inches
Area of 3 kites = 3 x 144
= 432 square inches.
The material needed to make 1 kite is 144 square inches and for 3 kites she need 432 square inches of the material.
Answer:
the first one is 144 and the second one is 432
Step-by-step explanation:
Which of these is NOT a Pythagorean triangle?
A) 6, 8, 10
B) 3, 4, 5
C) 33, 44, 55
D) 8, 24, 25
8, 24, 25
[tex]8^2+24^2\neq 25^2[/tex]
Answer:
D
Step-by-step explanation:
A cylinder-shaped kid's pool has a diameter of 12 feet and a height of 2 feet. If each cubic footholds 7.48 gallons of water, about how many gallons of water can the kid's pool hold?
Answer:
About 1691.886 gallons.
Step-by-step explanation:
The firs step is to find the volume of the pool in cubic feet. The formula for the volume of a cylinder is [tex]\pi r^2 h[/tex], which in this case is [tex]\pi \cdot 6^2 \cdot 2\approx 226.188[/tex] cubic feet. Multiplying this by 7.48, you get a total of about 1691.886 gallons of water. Hope this helps!
HELP !
BEST ANSWER GETS MARKED BRAINLIEST !
Answer:
I think u=11
Step-by-step explanation:
A=6a^2
726 divided by 6= 121
square root of 121=11
answer=11
Shay and Nadine solve this problem in two different ways.
You have $25 in your bank account. You make $7 per hour babysitting. How many hours must you babysit to have a total of $165 in your account?
Use the drop-down menus to complete the sentences below.
Answer:
20hrs
Step-by-step explanation:
165-25 = 140
140/7 = 20
= 20hrs.
This is because 20 x $7 = $140 +$25 in account = $165
The line 3x – 2y = 12 has
A a slope of
and a y-intercept of -6
B a slope of -
and a y-intercept of 6
© a slope of 3 and a y-intercept of -2
O a slope of —3 and a y-intercept of -6
The line with equation 3x – 2y = 12 has the value of slope (m) equal to [tex]\frac{3}{2}[/tex] and y - intercept equal to -6.
What is the slope intercept form of a line ?
The equation of line that can be written as y = mx + c, where m is the slope and c is the line's y-intercept, is known as a slope intercept form.
The equation of a line is given which is 3x – 2y = 12.
This can be also written as :
3x - 2y - 12 = 0
We know that general equation of a line is given by ax + b + c = 0.
So , the given equation is :
3x – 2y = 12
dividing by 12 on both sides we get "
[tex]\frac{3x}{12}[/tex] - [tex]\frac{2y}{12}[/tex] = [tex]\frac{12}{12}[/tex]
[tex]\frac{x}{4}[/tex] - [tex]\frac{y}{6}[/tex] = 1
or
[tex]\frac{x}{4}[/tex] + (- [tex]\frac{y}{6}[/tex]) = 1
This is the slope intercept form of the given equation.
So , using the slope intercept form of line ,
y = mx + c
y = [tex]\frac{3}{2}[/tex] x - 6
If we compare : we get
c = y intercept = -6
and
Slope (m) = [tex]\frac{3}{2}[/tex]
Therefore , the line with equation 3x – 2y = 12 has the value of slope (m) equal to [tex]\frac{3}{2}[/tex] and y - intercept equal to -6.
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Final answer:
The line 3x – 2y = 12 has a slope of 3/2 and a y-intercept of -6, corresponding to choice A.
Explanation:
The equation of the line is given as 3x – 2y = 12. To find the slope and the y-intercept, we should rewrite this equation in slope-intercept form, which is y = mx + b, where 'm' is the slope and 'b' is the y-intercept. To do this, solve the given equation for y:
Add 2y to both sides: 3x = 2y + 12Subtract 12 from both sides: 2y = 3x - 12Divide everything by 2: y = (3/2)x - 6So, we have the slope (m) as 3/2 and the y-intercept (b) as -6, which corresponds to choice A.
NEED RN, WORTH 20!
What is the value of x?
Answer:
[tex]x = 5.625[/tex]
Step-by-step explanation:
Step 1: Make an expression
[tex]\frac{3}{4} = \frac{x}{7.5}[/tex]
Step 2: Cross Multiply
[tex]\frac{3}{4} = \frac{x}{7.5}[/tex]
[tex]4 * x = 7.5 * 3[/tex]
[tex]4x = 22.5[/tex]
Step 3: Divide both sides by 4
[tex]4x / 4 = 22.5 / 4[/tex]
[tex]x = 5.625[/tex]
Answer: [tex]x = 5.625[/tex]
work out the area of a circle with radius 6mm. give your answer in terms of pi and state its units
The area of the circle is 36π mm²
A circle can be described as a round figure whose circumference (the distance round the circle) is equidistant from the centre. An image of a circle is attached.
The area of a circle = πr²
π= pi = 22/7
r = radius = 6mm
The radius of a circle is the distance from the centre of the circle to any point on the circle's circumference.
Area of the circle = π x 6² = 36π mm²
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The area of the circle with a radius of 6mm is 36π mm².
The area (\(A\)) of a circle is given by the formula:
[tex]\[ A = \pi r^2 \][/tex]
where [tex]\(r\)[/tex] is the radius.
Given a radius of [tex]\(6 \, \text{mm}\),[/tex] substitute this value into the formula:
[tex]\[ A = \pi \times (6 \, \text{mm})^2 \][/tex]
[tex]\[ A = \pi \times 36 \, \text{mm}^2 \][/tex]
So, the area of the circle is[tex]\(36\pi \, \text{mm}^2\)[/tex] , and the units are square millimeters[tex](\(\text{mm}^2\)).[/tex]
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Which equation can be used to find the surface area of the cylinder?
Answer:
the first option
Step-by-step explanation:
the formula to find the surface area of a cylinder is
2πrh+2πr²
Answer:
A=2πrh+2πr2=2·π·4·16+2·π·42≈502.65482
Step-by-step explanation:
up there
PLEASE HELP ASAP The set of all numbers greater than -10 and less than -3
Answer:
(-10, -3)
Step-by-step explanation:
() excludes -10 and -3 so it only includes the numbers in between.
The set builder notation is {x: x ∈ Z⁻, -10 < x < -3} and the set is {-9, -8, -7, -6, -5, -4}
Set-builder notation The set notation consists of symbols like ': - such that', '∈ - belongs to', ' <, >, ≤, ≥', and all these are enclosed in flower braces. The Capital letter that is used in this represents the category or the set to which the given values are related. A variable is used for representing the given set of data values.Set-builder notation is a mathematical notation for describing a set by representing its elements or explaining the properties that its members must satisfy.
It is given the set of numbers that are greater than -10 and less than -3.
Since they are negative integers, so all the required numbers also belong to the same category of numbers.
So, it is represented by Z⁻
Then, the set builder notation is
{x: x ∈ Z⁻, -10 < x < -3} and
The set is {-9, -8, -7, -6, -5, -4}
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Witch of the following is a rational number v1 v2 v3 v6
Answer:
v1
Step-by-step explanation:
What is the solution to the system of equations shown in the graph?
A) (0, 5) C) (0, -1)
B) (-2, 1) D) (1, -2)
Answer:
B) (-2,1)
Step-by-step explanation:
The solution is where the two lines intersect, in this case at (-2,1)
Hope this helps! :)
Answer:
B) (-2, 1)
Step-by-step explanation:
2 units left from the origin
So x = -2
1 unit up
So y = 1
Solve each equation. Check your solution. 4x - 8= 5x
Answer:
x= -8
Step-by-step explanation:
Answer:
x= -8
Step-by-step explanation:
Highlight the ordered pair that is a the solution. Show your work to justify your answer.
To determine the ordered pair that is a solution, we need an equation or a system of equations.
Explanation:The question asks to highlight the ordered pair that is a solution. To do this, you would need an equation or a system of equations to solve. Without the equation(s), it is not possible to determine the ordered pair that is a solution. Please provide the equation(s) so we can help you further.
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A circle in the xy-plane has its center at (-2/3,-3/4)
and radius 5. Which of the following is an
equation of the circle?
Answer:
(x + 2/3)^2 + (y + 3/4)^2 = 5^2
Step-by-step explanation:
Apply the general formula for a circle: (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius. Since the center is (-2/3, -3/4), and r = 5, we get:
(x + 2/3)^2 + (y + 3/4)^2 = 5^2
Which graph represents a function with direct variation?
(PLEASE HELP!!!)
9514 1404 393
Answer:
see attached
Step-by-step explanation:
A graph of direct variation is a straight line through the origin. It may have positive, negative, or zero slope. (The slope may not be "undefined.")
The fourth graph or the last one represents a function of direct variation.
What is direct variation?Direct Variation is said to be the relationship between two variables in which one is a constant multiple of the other.
In other words, as x increases, y increases, which is evident in the last graph as well.
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Monica is buying a new dress for her
job interview at Amazon. The total
(without tax) is $65.49.
If she is shopping in Pearland, where
the sales tax rate is 8.25%, what will
be the AMOUNT OF SALES TAX for
her dress (remember to round to two
decimal places since it's money)?
What’s the answer
Answer: Sales tax would be $5.40
Step-by-step explanation: The sales value itself of the dress (that is, without tax) is $65.49.
The amount charged as sales tax in Pearland is given as 8.25% (or 0.0825).
Hence if she is shopping in Pearland, the AMOUNT OF SALES TAX she would pay can be calculated as,
Sales tax = Sales price x 0.0825
Sales tax = 65.49 x 0.0825
Sales tax = 5.402925
Approximately to two decimal places, the sales tax becomes $5.40
8.888194417 to one decimal place first one gets brainlist
Do 9 m 15 m and 9 m make a triangle ?
Answer:
56232.
Step-by-step explanation:
Answer:
Step-by-step explanation:
One week, Huey worked 7 hours less than Dewey,
and Louie worked twice as long as Huey. Together
they worked 87 hours. Find the number of hours
worked by each.
Answer:
Number of hour worked by Dewey = 27 hours
Number of hour worked by Huey = 20hours
Number of hours worked by Louie = 40 hours
Step-by-step explanation:
Let x be number of hours worked by Dewey
Number of hour worked by Huey = x - 7
Number of hours worked by Louie = 2*(x-7) = 2*x -2*7 = 2x- 14
Together they worked 87 hours
x + x-7 + 2x-14 = 87
4x - 21 = 87
4x = 87 +21
4x = 108
x = 108/4
x = 27 hours
Number of hour worked by Dewey = 27 hours
Number of hour worked by Huey = x - 7 = 27 - 7 = 20hours
Number of hours worked by Louie = 2x - 14 = 2*27 - 14 = 54 - 14 = 40 hours