Answer:
x = (7×4) /8 = 7/2
can someone please show me the step-by-step explanation
Answer:
x = 4
EFH = 21°
EFG = 83°
Step-by-step explanation:
EFH + HFG = EFG
(5x + 1) + 62 = (18x + 11)
solve for x:
62 = (18x + 11) - (5x + 1)
62 = 13x + 10
62 - 10 = 13x
52 = 13x
x = 52/13 = 4
Dora uses the recipe below to make French toast for 12 people.Recipe for French ToastMakes (2 Servings)Ingredients * 2 eggs* 3/4 teaspoon sugar1/4 teaspoon salt 1/2 cup milk4 slices white breadPart A Assuming each person will get 1 full serving, how much of each ingredient does Dora need to make enough French toast for everyone.Part B If Dora uses the same recipe to make French toast for just herself, how can she find the amount of each ingredient she needs? Explain your answer.
Part A:
Since she will be serving French toast for 12 people, Dora needs to scale her ingredients 6 times. The recipe calls for 2 servings, therefore, creating 6 × 2 = 12 servings.
Ingredients
2 eggs × 6 = 12 eggs
3/4 teaspoon sugar × 6 = 18/4 teaspoon sugar → 4 1/2 teaspoon sugar
1/4 teaspoon salt × 6 = 6/4 teaspoon salt → 1 1/2 teaspoon salt
1/2 cup milk × 6 = 6/2 cup milk → 3 cups milk
4 slices white bread × 6 = 24 slices white bread.
Part B:
If Dora uses the same recipe just for herself (1 serving only), given that the recipe makes 2 servings. All she needs to do is to divide everything in the recipe by 2, and she will be able to make french toast for only 1 serving.
Find the length of line segment KH if K(-1,2) and H(3,5). Round to the nearest tenth if needed
i think that that the answer is 13 Step-by-step explanation:
I NEED HELP WITH STATISTICS
A. The null hypothesis H₀ and the alternative hypothesis H₁ are:
H₀: μ = 35 minutes H₁: μ > 35 minutes
B. If the consultant decides not to reject the null hypothesis, she might be making a Type II error.
C. A Type II error would be failing to reject the hypothesis that μ is = to 35 minutes when, in fact, μ is 43 minutes.
What is a Type II error?A Type II error occurs when the null hypothesis is false, but the test does not reject it.
In this case, the consultant would be concluding that the mean shopping time is 35 minutes, when in fact it is greater than 35 minutes.
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Jack leaves home for school on his bike every day at 6 a.m., travelling at 32 km/h.
One day he forgot his homework, which his mother discovered in the car 15 minutes after he had left.
She immediately left home and chased after Jack, travelling at 52 km/h.
At what time did she catch up to him?
Please help me solve this.
\(\boxed{A}\\\\ U=5(2n+22)+2\left( n+\cfrac{3}{2} \right) \\\\\\ U=10n+110+2n+3 \implies U=12n+113 \\\\[-0.35em] ~\dotfill\\\\ \boxed{B}\hspace{5em}\textit{in 2009, that's 9 years after 2000, n = 9}\\\\ U(9)=12(9)+113\implies U(9)=221 ~~ millions\)
ill mark brainlist plss help
Answer:
Milligram
Step-by-step explanation:
milligram b/c kilogram and gram are too big of a mass measurement for a strand of hair and meter does not measure the mass of the strand of hair it could measure the length
Fill in the blanks. For a function, the set of all possible values that can be used for the independent variable is called the _____. The set of all values of the dependent variable is called the _____.
For a function, the set of all possible values that can be used for the independent variable is called the domain. The set of all values of the dependent variable is called the range.
A function, in mathematics, refers to an expression that describes a relationship between two variables - the independent variable and the dependent variable. A function from a set X (independent variable) to a set Y (dependent variable) assigns to each element of X exactly one element of Y. The set of all possible input values for the independent variable is called the domain of the range. The values resulting from the substitution of the domain represent the range of a function which are set of all values of the dependent variable.
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Hi! what's The GCF of 10a-25+5b ? thank you! <3
Answer:
GCF = 5
Step-by-step explanation:
Answer: 5
Step-by-step explanation: try using a site called math, way for questions like this, hope it helps :)
raise t to the 10th power then add the result to 3
The algebraic expression of raise t to the 10th power then add the result to 3 is t¹⁰ + 3
How to write algebraic expressions?
An algebraic expression is an expression that is made up of variables and constants along with algebraic operations such as addition, subtraction, multiplication, exponent, etc.
Given: raise t to the 10th power then add the result to 3
Note: t is the variable here
Let's write algebraic expression now:
raise t to the 10th power => t¹⁰
then add the result to 3 => t¹⁰ + 3
Therefore, the algebraic expression is t¹⁰ + 3
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What is the circumference of a circle with a radius of 14 feet use 22/7 for pi
2,464?” Feet
616 feet
88 feet
44 feet
The circumference of a circle with a radius of 14 feet is 88 feet.
What precisely is a circle?Every point in the surface of a circle, which is a circular, two-dimensional object, is evenly separated from the centre. All lines that cross the circle join together to produce the line of reflected symmetry. Each angle has axis of symmetry around the centre, in addition. Monitoring a linear interpolation in a surface while keeping a fixed distance from some other point will result in the closed shape of a circle. The English term circle derives from the Greek word curriculum provides students, which also means hoop or ring.
When we find the circumference, we obtain:
The circumference( C) of a circle is 2πr.
C=2πr
⇒C=2×\(\frac{22}{7}\)×14=88 feet.
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Jolene invests her savings in two bank accounts, one paying 3 percent and the other paying 9 percent simple
interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual
interest is 3120 dollars. How much did she invest at each rate?
Amount invested at 3 percent interest is $____
Amount invested at 9 percent interest is $___
Let's denote the amount Jolene invested at 3 percent interest as 'x' dollars. Since she put twice as much in the lower-yielding account, the amount she invested at 9 percent interest would be '2x' dollars.
To calculate the interest earned from each account, we'll use the formula: Interest = Principal × Rate × Time.
For the 3 percent interest account:
Interest_3_percent = x × 0.03
For the 9 percent interest account:
Interest_9_percent = 2x × 0.09
We know that the total annual interest is $3120, so we can set up the equation:
Interest_3_percent + Interest_9_percent = 3120
Substituting the above equations, we have:
x × 0.03 + 2x × 0.09 = 3120
Simplifying the equation:
0.03x + 0.18x = 3120
0.21x = 3120
Dividing both sides of the equation by 0.21:
x = 3120 / 0.21
x = 14857.14
Therefore, Jolene invested approximately $14,857.14 at 3 percent interest and twice that amount, $29,714.29, at 9 percent interest.
Answer:
Step-by-step explanation:
X is the amount invested at 6%
Y is the amount invested at 9%
0.06X + 0.09Y = 4998
X = 2Y
0.06(2Y) + 0.09Y = 4998
.12Y + 0.09Y = 4998
0.21Y = 4998
21Y = 499800
Y = 499800/21 = 23800
So X = 2*23800 = 47600
$47,600 is invested at 6% and $23800 is invested at 9%
PLEASE ANSWER NOW I NEED THIS ASAP FOR 100 POINTS!!!!
\(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.
The given fraction is \(1\frac{3}{4}\).
\(1\frac{3}{4}\) feet can be written as a multiplication expression as follows: 1 foot × 1 3/4. This is because \(1\frac{3}{4}\) is the same as 1 + 3/4.
Furthermore, 3/4 can be written as 0.75, which is the same as 0.75 × 1 foot.
Therefore, the multiplication expression is 1 foot × \(1\frac{3}{4}\) = 1 foot × (1 + 0.75) = 1 foot × 1 + 1 foot × 0.75 = 1 foot + 1.75 feet.
Therefore, \(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.
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Step-by-step explanation:
1ft=12in
1¾ft=x
x=12×7/4=21in
1¾ft=1¾×1 ft
What are the solutions of 8x2 = 6 + 22x? Check all of the boxes that apply.
x = -3
x =
x = 3
x = 6
Answer:
x = 3 x = ‐1/4
Step-by-step explanation:
Was right on the quiz
Answer:
x = 3 x = ‐1/4
Step-by-step explanation:
the first one is also right!!
pleaseee someone helppp mee
Answer:
gftfyuoppoiu7644wqqettuiopouytrewesdffhjklju
Step-by-step explanation:
gffggghhhjjklliigg
Step-by-step explanation:
can u translate to English please, if not I can't understand
Help me please, please
Answer:
When used as a diacritic mark, the term dot is usually reserved for the interpunct, or to the glyphs 'combining dot above' and 'combining dot below' which may be combined with some letters of the extended Latin alphabets in use in Central European languages and Vietnamese.
Step-by-step explanation:
If I make $16.15 per hour. How much will I earn in a 5hr shift?
A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 80 pounds. The truck is transporting 65 large boxes and 55 small boxes. If the truck is carrying a total of 4850 pounds in boxes, how much does each type of box weigh?
Large box:____Pounds
Small box:____Pounds
The large box weighs 45 pounds and the small box weighs 35 pounds.
How to calculate the value?Let the weight of the small box = x
Let the weight of large box = y
The combined weight of a large box and a small box is 80 pounds. The truck is transporting 65 large boxes and 55 small boxes. If the truck is carrying a total of 4850 pounds in boxes. This will be illustrated as:
x + y = 80 ...... i
55x + 65y = 4850 .... ii
From equation i x = 80 - y
This will be put into equation ii
55x + 65y = 4850
55(80 - y) + 65y = 4850
4400 - 55y + 65y = 4850
10y = 4850 - 4400
10y = 450
y = 450 / 10 = 45
Large box = 45 pounds
Since x + y = 80
x = 80 - 45 = 35
Small box = 35 pounds.
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La
Cu
You can afford monthly deposits of $250 into an account that pays 4.8% compounded
monthly. How long will it be until you have $11,900 to buy a boat?
Att
Answer:
Step-by-step explanation:
The formula you need for this is
\(A(t)=P(1+\frac{r}{n})^{nt\) where
A(t) is the amount after a certain number of years has gone by,
P is the initial deposit,
r is the interest rate in decimal form,
n is the number of compoundings done per year, and
t is the amount of time in years.
For us,
A(t) = 11900
P is 250
r is .048
n is 12 (there are 12 months in a year)
t is our unknown. Filling in:
\(11900=250(1+\frac{.048}{12})^{(12)(t)\) which simplifies a bit to
\(11900=250(1_.004)^{(12t)\) . Now we'll divide both sides by 250:
\(47.6=(1.004)^{12t\) and then take the natural log of both sides to bring that t down out front:
\(ln(47.6)=ln(1.004)^{12t\) and then
ln(47.6) = 12t ln(1.004). Now divide both sides by ln(1.004) to isolate the 12t:
967.6383216 = 12t and divide both sides by `12 to get
t = 80.6 months which is 6.7 years
Ok what is the time and how do I actually get this free trial lol
the time is only 9:30 and fine in it lol
Suppose that early in an election campaign, a telephone poll of 800 registered voters shows that 460 favor a particular candidate. Just before Election Day, a second poll shows that 520 of 1,000 registered voters now favor that candidate. At the 0.05 significance level, is there sufficient evidence that the candidate's popularity has changed?
Answer:
Yes. At the 0.05 significance level, there is enough evidence to support the claim that the proportion that support the candidate has significantly changed.
Step-by-step explanation:
This is a hypothesis test for the difference between proportions.
The claim is that the proportion that support the candidate has significantly changed.
Then, the null and alternative hypothesis are:
\(H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0\)
The significance level is 0.05.
The sample 1, of size n1=800 has a proportion of p1=0.58.
\(p_1=X_1/n_1=460/800=0.58\)
The sample 2, of size n2=1000 has a proportion of p2=0.52.
\(p_2=X_2/n_2=520/1000=0.52\)
The difference between proportions is (p1-p2)=0.05.
\(p_d=p_1-p_2=0.58-0.52=0.05\)
The pooled proportion, needed to calculate the standard error, is:
\(p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{464+520}{800+1000}=\dfrac{980}{1800}=0.54\)
The estimated standard error of the difference between means is computed using the formula:
\(s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.54*0.46}{800}+\dfrac{0.54*0.46}{1000}}\\\\\\s_{p1-p2}=\sqrt{0.00031+0.000248}=\sqrt{0.000558}=0.02\)
Then, we can calculate the z-statistic as:
\(z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.05-0}{0.02}=\dfrac{0.05}{0.02}=2.33\)
This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):
\(\text{P-value}=2\cdot P(z>2.33)=0.02\)
As the P-value (0.02) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the proportion that support the candidate has significantly changed.
Please answer this correctly without making mistakes
Answer:
3 tons, 1110 pounds
Step-by-step explanation:
A Ton weighs 2000 pounds, first convert the 4 tons.
You can solve this by multiplying 4 times 2000, and you will get 8000.
Now Add 8000 to 422, and your solution: 8422.
Now subtract 8422 by 1312, and you will get 7110.
Now convert this back to tons, start thinking, how many times can 2000 go into 7110.
That would be 3 my good sir.
Your Remainder: 1110 Pounds
Your Answer: 2 Tons, And 1110 Pounds.
Hope It Helps!
Roselyn is driving to visit her family, who live 150 kilometers away. Her average speed is 60 kilometers per hour. The car's tank has 20 liters of fuel at the beginning of the drive, and its fuel efficiency is 6 kilometers per liter. Fuel costs 0.60 dollars per liter. How long can Roselyn drive before she runs out of fuel?
Roselyn can drive a distance until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.Roselyn can travel 120 km before running out
Distance travelled with 20 l of petrol in solution and final answer.
Roselyn's average speed is 60 kilometers per hour, and she needs to travel 150 kilometers to reach her family's place. Therefore, she will require a total of 150/60 = 2.5 hours to complete the journey.
The car's fuel efficiency is 6 kilometers per liter, meaning it consumes 1/6 liters of fuel per kilometer. To determine the total fuel required, we multiply the fuel consumption rate by the total distance: 150 * (1/6) = 25 liters of fuel.
Since the car's tank has 20 liters of fuel at the beginning of the drive, Roselyn will need an additional 25 - 20 = 5 liters of fuel to complete the journey.
As fuel costs 0.60 dollars per liter, Roselyn will need to spend a total of 5 * 0.60 = 3 dollars to purchase the necessary fuel.
Therefore, Roselyn can drive until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.
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Help I hope you can see both
Answer:
15 degrees for the first one
90 degrees for the second one
Step-by-step explanation:
In △JKL , if m∠ J < 90° , then ∠K and ∠L are _____
Both angle K and angle L must be acute angles, measuring less than 90 degrees, in order to satisfy the conditions of the given triangle.
In triangle JKL, if angle J is less than 90 degrees, then angle K and angle L are both acute angles.
An acute angle is defined as an angle that measures less than 90 degrees. Since angle J is given to be less than 90 degrees, it is an acute angle.
In a triangle, the sum of the interior angles is always 180 degrees. Therefore, if angle J is less than 90 degrees, the sum of angles K and L must be greater than 90 degrees in order to satisfy the condition that the angles of a triangle add up to 180 degrees.
Hence, both angle K and angle L must be acute angles, measuring less than 90 degrees, in order to satisfy the conditions of the given triangle.
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Write the equation of the line perpendicular to y = 8 - 5z that contains the point (0, 0) . Fill in the slope and y-intercept
The equation of the line perpendicular to y = 8 - 5z is 5x+8y=16.
8y=-5x+16
y=-5/8x+2.
To be perpendicular, the slope has to be 8/5.
What is the slope-intercept form of the line?
The slope-intercept form is y=mx+c
Where m is the slope and c is the y-intercept.
So y=8/5x+b.
We can plug in the given coordinates to get
7=8/5*-5+b
7=-8+b
b=15.
So eqn is y=8/5x+15 or in point-slope form, y=8/5x+15
5y=8x+75
5y-8x=75
The equation of the line perpendicular to y = 8 - 5z is 5x+8y=16.
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write the following comparison as a ratio reduced to lowest terms. 21 quarters to 13 dollars
In order to calculate the ratio of these values, let's divide them, using the fraction form:
\(\text{ratio}=\frac{21}{13}\)Since the numbers 21 and 13 don't have any common factor, the fraction is already in the lowest terms.
So the ratio is 21:13
Which ordered pair is a solution of the equation shown? A.-3/4,- 1/2 B. 0,3/4 C.4/3, 1/2 D. 4, 3/2
pls hurry = 50 point
Answer:
the answer is b, c, d, a, respectively
Please see the attached
a. Monthly payment for the bank's car loan is $407.67
b. Monthly payment for the savings and loan association's car loan is $315.99
c. Total amount paid would be $2,035 less for the bank's car loan than for the savings and loan association's car loan.
What is interest rate?The cost of borrowing money, usually expressed as a percentage of the amount borrowed, is what a lender charges a borrower to use their money. This cost is known as an interest rate.
(a) To find the monthly payment for the bank's car loan, we can use the formula for the present value of an annuity:
\(PV = PMT * \frac{1 - (1 + \frac{r}{n})^{(-n*t)}}{\frac{r}{n} }\)
putting the given values,
⇒ \(21000 = PMT * \frac{1 - (1 + \frac{0.065}{12})^{(-12*5)}}{\frac{0.065}{12} }\)
Solving for PMT, we get:
PMT = $407.67
Therefore, the monthly payment for the bank's car loan is $407.67
(b) To find the monthly payment for the savings and loan association's car loan, we can use the same above formula:
where PV is still $21,000, PMT is the monthly payment, r is still 0.065, n is still 12, but t is now 7 years x 12 months/year = 84 payments.
putting the given values,
\(21000 = PMT * \frac{1 - (1 + \frac{0.065}{12})^{(-12*7)}}{\frac{0.065}{12} }\)
Solving for PMT, we get:
PMT = $315.99
Therefore, the monthly payment for the savings and loan association's car loan is $315.99.
(c) Bank's car loan: $407.67 x 60 = $24,460.20
Savings and loan association's car loan: $315.99 x 84 = $26,495.16
Therefore, the bank's car loan would have the lowest total amount to pay off, by: $26,495.16 - $24,460.20 = $2,034.96
Therefore, the total amount paid would be $2,035 less for the bank's car loan than for the savings and loan association's car loan.
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bought for 15$ sold for 49.50, what is markup percentage?
Answer:
17.65%
Step-by-step explanation:
https://www.calculatorsoup.com/calculators/financial/markup-calculator.php?cost=49.50&margin=15&action=solve