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notka56 [123]
1 year ago
8

Clarissa has a budget of $1,200 a month to spend for rent and food. She has already spent $928 this month. Which inequality repr

esents the amount she can still spend this month and remain within her budget?
A. x > 272
B. x ( < With a line under it) 272
C. x < 272
D. x ( > With a line under it)
Mathematics
2 answers:
Leviafan [203]1 year ago
8 0
The answer is b. x(< with a line under it) 272
eimsori [14]1 year ago
4 0

Answer:

$272 left from her budget spend for month.

B is correct.

Step-by-step explanation:

Clarissa has a budget of $1,200 a month to spend for rent and food.

She has already spent $928 this month.

Let Clarissa has left $x amount spend for month.

Total budget is $1,200

Thus, sum of spent and remain would be less than equal to 1200

According to question:

x+928\leq 1200

x\leq 1200-928

x\leq 272

Hence, $272 left from her budget spend for month.

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salantis [7]

Step-by-step explanation:

To solve this problem, we need the angle CAD, which can then be used to calculate the arc BD.

From definition of cosine,

cos(x) = adjacent / hypotenuse

cos(x) = AD / AC = 4000 / 4000.5 = 0.9998750156230471

The inverse function gives

x = arccosine (4000/4000.5)

  = arccosine (0.9998750156230471)

  = 0.01581056485742214 radians = 0.9058786380481468 degrees

Radius of the earth, r = 4000 miles

Arc BD = 2 time arc subtended by angle x

= 2 (rx)    where x is in radians

= 2*4000*0.01581056485742214

= 126.48 miles (to two decimal places)

5 0
2 years ago
Chris wonders whether the planes that fly over his house follow any sort of pattern. For two months, he
KatRina [158]

Answer:

Kindly check explanation

Step-by-step explanation:

From the relative frequency below:

For NORTH - SOUTH:

Monday - Thursday = 115 ; has a relative frequency of 75.16%,

Hence, we can obtain the row total since it amounts to 100% thus;

75.16% of row total = 115

0.7516× row total = 115

Row total = 115 / 0.7516 = 153.00

Hence, Friday - sunday:

Row total - (Monday-Thursday)

153 - 115 = 38

FOR EAST - WEST:

Monday - Thursday = 21 ; has a relative frequency of 25.30%,

Hence, we can obtain the row total since it amounts to 100% thus;

25.30% of row total = 21

0. 253 × row total = 21

Row total = 21 / 0.253 = 83.00

Hence, Friday - sunday:

Row total - (Monday-Thursday)

83 - 21 = 62

x = (38 / 100) × 100%

x = 0.38 × 100%

x = 38.00 %

5 0
2 years ago
A pound of oranges costs $2 less than a pound of pears. Together, ten pounds of oranges and eight pounds of pears cost $61. How
Thepotemich [5.8K]

Let us say that:

o = cost of oranges per pound

p = cost of pears per pound

 

so that:

o = p – 2

 

Therefore:

10o + 8p = 61

10 (p – 2) + 8p = 61

10p – 20 + 8p = 61

18p = 81

p = 4.5

p = $4.5 per pound

 

So 3 pounds of pears would cost:

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3 0
1 year ago
The alpha level that a researcher sets at the beginning of the experiment is the level to which he wishes to limit the probabili
Lelu [443]

Answer:

Kindly check explanation

Step-by-step explanation:

The alpha level set at the beginning of of an experiment is used by the researcher to the limit the probability if making a type 1 error. The type 1 error is committed when a true null hypothesis is incorrectly rejected.

The type 2 error on the other hand is committed when fail to reject a false null hypothesis.

Hence, in other to forestall the risk of incorrectly rejecting a true null hypothesis, the alpha level is set.

When critical region is split across both tails of the distribution, The z-score boundaries at an alpha level α = .05

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When region is split into 2:

α/2 = .05/2

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Loooking up the z table for the Zscore with probability of 0.025

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8 0
2 years ago
To buy a computer, Raquel borrowed $3,000 at 9%
kumpel [21]

Answer:

$4080

Step-by-step explanation:

We have the amount she will pay back, but first, we need to find the Interest accrued.

Simple Interest is given as:

I = \frac{P * R * T }{100}

where P = principal

R = rate

T = time taken (in years)

Therefore, the interest on $3,000 at 9%  simple interest for 4 years is:

I = \frac{3000 * 9 * 4}{100}

I = $1080

Therefore, the amount she will pay back is:

$3000 + $1080 = $4080

6 0
1 year ago
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