Final answer:
By solving the system of equations step by step, we find that Erin took 18 minutes to wash the car.
Explanation:
The question involves solving a system of linear equations to find out how many minutes it took Erin to wash the car. We have two equations, x = 1/2y - 4 and x + y = 62, representing the time it took Erin (x) and Tad (y) to complete their tasks. To find the value of x, we can substitute the expression for x from the first equation into the second equation.
Let's solve the system step by step:
Express x in terms of y: x = 1/2y - 4.Substitute x in the second equation: (1/2y - 4) + y = 62.Combine like terms: 1.5y - 4 = 62.Add 4 to both sides: 1.5y = 66.Divide both sides by 1.5: y = 44.Now, we know Tad took 44 minutes. Substitute y back into the equation for x: x = 1/2(44) - 4.Calculate: x = 22 - 4.Finally, Erin took 18 minutes to wash the car.
How many 2/3 cup servings are in 28/3 cups of yougurt
Answer:
14 servings
Step-by-step explanation:
It seems that we have to divide the total servings amount of yogurt by the 2/3 cup servings.
So take 28/3 divide it by 2/3
28/3 * 3/2 because we can change division to multiplication when inverting the fraction of divisor.
28/3 * 3/2 = 28/2 = 14
How do you factor 6x2 + 11x + 3
Answer:
(3x + 1) (2x + 3)
These are the factors of 6x2 + 11x + 3
Step-by-step explanation:
Math Term Definition. Factor. To factor a number means to break it up into numbers that can be multiplied together to get the original number. EXAMPLES: 6 = 3 x 2 so, factors of 6 are 3 and 2 9 = 3 x 3 so, factors of 9 are 3 and 3 Sometimes, numbers can be factored into different combinations.
Solve for x in the following:
8x^2 + 6x = -5
Answer:
No solution or
(-3±[tex]2i\sqrt{31}[/tex])/8
Step-by-step explanation:
To get the solution, move everything to the left side of the equation:
8x²+6x+5 = 0
If you try to factor the equation or graph it, you will see that it will never equal 0.
If you need an imaginary solution you can plug it into the quadratic equation:
-6±[tex]\sqrt{36-160}[/tex] over 16
Simplify and you get
-6±[tex]i\sqrt{124}[/tex] over 16
-6±[tex]4i\sqrt{31}[/tex] over 16
Simplify the fraction and you can get
(-3±[tex]2i\sqrt{31}[/tex])/8
49 kilometers in 3 minutes =
kilometers in 6 minutes
Answer:
98
Step-by-step explanation:
When you set it up like this 49/3 (blank)/6 3 x 6 is 2 so 49 x 2 is 98
someone please answer this for me.
Answer:
the answer is 83 degrees
Jordan is using the calculator to find the value of 785 ÷ 5. What key on the calculator should he press first?
Final answer:
To calculate 785 ÷ 5, Jordan should press the 7 key first, followed by the rest of the digits, the division key, and then 5, concluding with the equals key to get the result.
Explanation:
Jordan should start by pressing the 7 key on the calculator to begin inputting the number 785 in this equation, 785 ÷ 5. As with most calculators, entries are made in the same order they appear in the equation. After entering the entire number 785, Jordan should then press the division (÷) key, followed by the number 5, and finally the equals (=) key to obtain the result.
what is the answer to -4/3p -2/5
Answer:
Step-by-step explanation:
This expression consists of two fractions that have no common denominator but do have -2 as a common factor in the numerators.
Factoring out the -2, we get:
-2(2p/3 + 1/5)
If you want to go further, we can determine the LCD (which is 15) and then combine the fractions within parentheses:
-2(10p/15 + 3/15)
We could now factor out the 1/15 in each fraction:
-2
---- (10p + 3)
15
A pizza is divided into 16 slices.Elizabeth eats 1/8 of the pizza in 10 minutes at this rate, how many slices can she eat in an hour? How long will it take her to eat the pizza
Answer:
1/8 of a 16 slice pizza is 2 slices
one hour had 60 minutes
10x6
2x6=12 she would eat 12 slices in a hour
it would take her 80 minutes to eat the whole pizza
8x2=80 minutes
Step-by-step explanation:
The diagram represents the net of a triangular prism. Chris wants to find thesurface area.
First, finds the area of the two triangles by calculating 0.5 X 16 X 15 X 2. Next, he finds the area of the three rectangles by calculating 17 X 8 X 3. Finally, he adds the areas of the triangles and rectangles to get a total surface area of 648 square meters. Chris makes an error when finding the surface area. Identify the error Chris makes and explain how to correctly calculate the surface area. answer This is a required question
Answer:
Total Surface Area of the Prism=640 square meters
Chris made a mistake in calculating the area of the rectangular base.
Step-by-step explanation:
Dimension of the Triangle
Base=16m, Height=15m
Area of the Two triangular Faces =0.5 X 16 X 15 X 2=240 square meters
This is correct
Dimensions of the Rectangles
16m by 8m, 17m by 8m, 17m by 8m
Area of the Rectangular Faces=(17X8)+(17X8)+(16X8)=400 square meters
Total Surface Area of the Prism=240+400=640 square metersChris' Error was in calculating the area of the base of the prism as (17 x 8) instead of (16 X 8).
Answer:
640 square meters
Step-by-step explanation:
Chris made an error when calculating the area of the rectangular base. They have a different base. The area of both triangle is 240 and the area of all the rectangles is 400, 400+240=640 square meters.
Help please I need help :/
Answer:
B
Step-by-step explanation:
You cant find the square root of ten. It is a decimal that keeps on repeating. Therefore, it is irrational.
Answer:
B. The irrational number in it is the square root of 10
Write 4.135 as a fraction
The fraction is 4135/1000.
To write the decimal number 4.135 as a fraction, we first observe that the digits 135 are in the thousandths place. Therefore, we can express the decimal as the fraction 4135/1000. This is because the decimal has three decimal places, and each place value to the right of the decimal point represents a power of ten.
When there's an interest in scientific notation, converting fractions into scientific notation may also be required. As an example, a tiny fraction like 0.0000045 would be written in scientific notation as 4.5 * 10^{-6}.
However, the question asks for a simple fraction, not scientific notation. Therefore, 4.135 as a fraction is simply 4135/1000.
The number 4.135 can be written as a fraction in the form of [tex]\frac{4135}{1000}[/tex]. In scientific notation, it can be expressed as 4.135 x [tex]10^{-3}[/tex], as moving the decimal point 0 places leaves the number unchanged.
To write the number 4.135 as a fraction, you first need to recognize that it is the same as 4135 divided by 1000 since there are three digits after the decimal point. Therefore, the fraction form of 4.135 is [tex]\frac{4135}{1000}[/tex]. This fraction can be simplified if desired by dividing both the numerator and the denominator by the greatest common divisor.
In scientific notation, the number 4.135 can be expressed as 4.135 x [tex]10^{-3}[/tex], because the power of 10 that keeps the number in its original form here is 0. Remember that scientific notation is written as a product of a number between 1 and 10 and a power of 10, where the power indicates how many places the decimal point is moved to the right (for positive powers) or to the left (for negative powers). Because the number is more than 1 but less than 10, we can keep it as is with a power of 10 that is 0.
Which is f(5) for the function -2x
Given:
Function:
[tex]f(x)=-2 x^{2}+2 x-3[/tex]
To find:
f(5)
Solution:
[tex]f(x)=-2 x^{2}+2 x-3[/tex]
Substitute x = 5 in the above function.
[tex]f(5)=-2 (5)^{2}+2 (5)-3[/tex]
[tex]=-2 (25)+10-3[/tex]
[tex]=-50+10-3[/tex]
[tex]=-40-3[/tex]
[tex]=-43[/tex]
Therefore, f(5) = -43.
Given DOG, find DG. Round your answer to the nearest hundredth.
Answer:
99.8
Step-by-step explanation:
Answer:
the answer is 8.62
The image shows parallel lines cut by a transversal. The expressions represent unknown angle measurements. What is the value of x?
The value of x is 48°. Therefore, the answer is (A) 48.
We can solve for the value of x using the properties of parallel lines and transversals.
**Given:**
* Two parallel lines cut by a transversal.
* Two alternate exterior angles formed by the transversal on the parallel lines:
* **2x + 2°**
* **x + 50°**
**Solving for x:**
1. **Alternate Interior Angles:** We know that alternate interior angles formed by a transversal cutting parallel lines are congruent. Therefore:
- 2x + 2° = x + 50°
2. **Solve for x:**
- Combine like terms: x + 2° = 50°
- Subtract 2° from both sides: x = 48°
Therefore, the value of x is **48°.**
Therefore, the answer is (A) 48.
The probable question may be:
The image shows parallel lines cut by a transversal. The expressions represent unknown angle measurements. What is the value of x
A)48
B)51
C)54
D)57
the sum of two numbers is 14 there diffrence is 6
the two numbers are 10 and 4 because 10+4= 14 and 10-4=6
Which expression has a positive value?
(-5)(-9)
2-4
12\(-4)
-3+(-7)
Answer:
A.(-5)(-9)
Step-by-step explanation:
A negative times a negative is always a positive.
Answer:
It is A have a good day and God bless :)
Step-by-step explanation:
a company buys a sweater for $14 and marks it up 90%. It later discounts the sweater 25%.
find the selling price of the sweater after the markup.
Answer:
$12.6 after marking it up by 90%
Step-by-step explanation:
Answer:
$12.6 after marking it up by 90%
Step-by-step explanation:
To calculate the markup amount, use the formula: markup = gross profit/wholesale cost. If you know the wholesale cost and the markup percentage, then calculating the gross profit just involves multiplying those two numbers. To get to the final retail sticker price, add the gross profit to the original, wholesale cost.Feb 21, 2017
What is the area of the parallelogram?
11 in.
9 in.!
Answer:
11x9 =99 to find the area of a parallelogram you do base times height
help me!! study island question
Answer:
A
Step-by-step explanation:
-5.3 + 1.9= -3.4
Over a 5-day period. the value of a stock has a total change of -4.35. What was the average change per day?
what is this please need this 2 x 3
Answer:
6
Step-by-step explanation:
3+3=6
Answer:
6
Step-by-step explanation:
Step 1: Multiply
2 * 3
6
Answer: 6
Mattie Evans drove 180 miles in the same amount of time that it took a turbopropeller plane to travel 630 miles. The speed of the plane was 150 mph faster than the car.
Answer:
the speed of the plane was 210 mph.
Step-by-step explanation:
Final answer:
The speed of Mattie Evans' car was 60 mph and that of the plane was 210 mph.
Explanation:
The question involves solving a system of equations to find the speeds of the car and the plane. Since Mattie Evans drove 180 miles in the same amount of time that a turbopropeller plane traveled 630 miles, and the speed of the plane was 150 mph faster than the car, we can set up the equations based on the distance formula
[tex]distance = speed \times time.[/tex]
Let the car's speed be x mph. The plane's speed then will be x + 150 mph.
The time taken by both the car and the plane is the same. Therefore, we can say 180/x = 630/(x + 150).
By cross-multiplying the equation, we obtain
180(x + 150) = 630x.
Simplifying the equation, we have
180x + 27000 = 630x.
630x-180x = 27000
450x = 27000
x = 27000/450
x = 60
The speed of Mattie Evans' car was 60 mph and that of the plane was 210 mph (60+150).
Solve for the inequality -6× - 17> 8× + 25
Step-by-step explanation:
[tex] - 6x - 17 > 8x + 25 \\ - 6x - 8x > 17 + 25 \\ - 14x > 42 \\ \frac{ - 14x}{14} > \frac{42}{14} \\ - x > 3 \\ x < - 3[/tex]
Prove that the angle pqr is a right angle
Pls show full working out ty
Answer:
A missing bit of information is that ABCD must be a rectangle.
First, let's gather some facts:
(1) Angles in a triangle add up to 180.
(2) RQC and PBQ are the same triangles since it is given that their sides are equal.
(3) Also ∠PBQ = ∠QCR are 90° since they are in fact the corners of the rectangle.
(4) ∠PQB, ∠PQR and∠RQC are on the same line, so their sum must be 180°
Putting it all together, we can say for both triangles using (1):
∠RQC + ∠QRC + ∠QCR = 180 and ∠QCR=90 => ∠RQC = 90-∠QRC
∠PBQ + ∠BQP + ∠PQB = 180
Furthermore, since both triangles are equal (2):
∠QRC = ∠PQB
So, ∠RQC = 90 - ∠PQB
Finally, using (4) we can say:
∠PQB + ∠PQR + 90 - ∠PQB = 180.
Simplify that and you get:
∠PQR + 90 = 180
∠PQR = 90
shelly wants to earn at least $500 this week.she made $45 babysitting and earns $12.50 per hour at a grocery store.How many hours does she need to work at the grocery store to meet her goal?
Answer:
36.4 hours
Step-by-step explanation:
500=45+12.50x
455=12.50x
36.4=x
Answer: She has to work at least 37 hours at the grocery store to meet her goal.
Step-by-step explanation:
y=mx+b
500=12.50x + 45
when you solve this equation you get 36.4 which rounds to 37.
270 inches = how many yards and inches
Answer:
7 yards and 18 inches
Step-by-step explanation:
270 / 36
Answer:
= 270 inches
=7.5 yards
Step-by-step explanation:
hope we can be friends
can i get the brainliest
Aiden spins the spinner shown 20 times. His results are shown in the table. What are the experimental and theoretical probabilities for spinning red? A) experimental = 3/4 , theoretical = 1/4 B) experimental = 1/4 , theoretical = 3/4 C) experimental = 1/4 , theoretical = 3/20 D) experimental = 3/20 , theoretical = 1/4
Answer:D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
cause 1/4th is cause there are four equal areas and 3/20th cause he spun it 20 times but only landed on red three times
also you forgot the photo so here's the photo you needed to put up
Brandon is proud of his work in math class he has gotten a 90% on each of the past 5 weekly
quizzes. This week he is feeling sick and was not able to study so he got a 75%. Which statement
below is true?
unknown
Step-by-step explanation:
please post the answer choices
4(3r+2)-7x i need help every answer i get is wrong.
Answer:
12r+8-7x
Step-by-step explanation:
First distribute the 4 into each of the numbers in the parenthesis:
4 x 3r=12r
4 x 2=8
Final answer:
12r+8-7x
Answer:
x>10
SOOO YEAH
The angle measurements in the diagram are represented by the following expressions.
Given:
[tex]\angle A=5 x-12^{\circ}[/tex]
[tex]\angle B=2 x+24^\circ[/tex]
To find:
The value of x and measure of angle B
Solution:
Alternate interior angle theorem:
If two parallel lines cut by a transversal, then the alternate interior angles are congruent.
⇒ m∠A = m∠B
[tex]\Rightarrow 5 x-12^{\circ}=2 x+24^{\circ}[/tex]
Add 12° on both sides.
[tex]\Rightarrow 5 x-12^{\circ}+12^{\circ}=2 x+24^{\circ}+12^{\circ}[/tex]
[tex]\Rightarrow 5 x=2 x+36^{\circ}[/tex]
Subtract 2x from both sides.
[tex]\Rightarrow 5 x-2x=2 x+36^{\circ}-2x[/tex]
[tex]\Rightarrow 3x=36^{\circ}[/tex]
Divide by 3 on both sides.
[tex]$\Rightarrow\frac{3x}{3} =\frac{ 36^{\circ}}{3}[/tex]
⇒ x = 12°
Substitute x = 12° in ∠B.
m∠B = 2x + 24°
= 2(12°) + 24°
= 24° + 24°
= 48°
The measure of ∠B is 48°.